diff --git a/dsp/CMakeLists.txt b/dsp/CMakeLists.txt index 16df9ed..02470cd 100644 --- a/dsp/CMakeLists.txt +++ b/dsp/CMakeLists.txt @@ -23,6 +23,7 @@ add_library(soothe2_dsp SHARED leveltrack.cpp framed_model.cpp rt_weights.cpp + rt_mask_tables.cpp ) add_executable(soothe2_harness harness.cpp) diff --git a/dsp/framed_model.cpp b/dsp/framed_model.cpp index 884af1e..9fe26d5 100644 --- a/dsp/framed_model.cpp +++ b/dsp/framed_model.cpp @@ -1,32 +1,42 @@ #include "framed_model.hpp" #include "twin.hpp" #include "freqpath.hpp" -#include "rt_weights.hpp" +#include "rt_mask_tables.hpp" #include #include #include namespace { -// Mask curve fitted against live capture (snap_rt.bin, mask band0 vs acc 0x5407c8): -// mask = (1 / (1 + K*acc))^n, K=9.80, n=0.260 (mse 0.019 over 17 resonant bins) -constexpr double MASK_K = 9.8026; -constexpr double MASK_N = 0.25966; // sens XML -> internal sens_stored = sens * 2.054 (NOTES_TWIN:74: XML 12 -> 24.65 dB). -// GAIN_band = sqrt(param_5) = 10^(sens_stored/40). constexpr float SENS_SCALE = 2.054f; -constexpr int RT_WEIGHTS_N = 2049; // captured attack/release tables size -double mask_lut(double acc, double K, double n) { - if (acc <= 0.0) return 1.0; - return std::pow(1.0 / (1.0 + K * acc), n); +// Live scalar constants (snap_rt.bin ctx 0x2370040): +constexpr double C_0x540870 = 440.9548645019531; // level weight (scale step 1) +constexpr double C_0x54088c = 1.0; // release coeff (scale step 1) +constexpr double C_0x1a0 = 2048.0; // cell base (scale divisor) +constexpr double C_0x540888 = 1.0; // attack coeff (dry/wet step 8) +constexpr double C_0x540874 = 1.0; // dry/wet mix basis +constexpr double C_0x54087c = 1.0; // band blend mix +constexpr double C_BLEND08 = 0.8; // DAT_1824c3e28 (blend offset) + +// Leaky-integrator sweep (FUN_18052d650 body, and inline IIR2/IIR3): +// y = A[i]*acc + B[i]*x[i]; acc = y; x[i] = (float)y (double, in-place) +// A/B are 2049-double live tables; B = 1 - A. Forward sweep only (the callers +// mirror for the bidirectional pass). +void iir_leaky(const double* A, const double* B, float* x, int n) { + double acc = 0.0; + for (int i = 0; i < n; i++) { + double y = B[i] * static_cast(x[i]) + A[i] * acc; + acc = y; + x[i] = static_cast(y); + } } } // namespace FramedDetector::FramedDetector(size_t nfft, float sample_rate) : nfft_(nfft), sample_rate_(sample_rate), wsum_(0) { - warp_.resize(nfft, 0.0f); am_.resize(nfft / 2 + 1, 0.0f); } @@ -59,11 +69,6 @@ void FramedDetector::setParams(const std::vector& bands) { res_.push_back(std::move(r)); } track_.assign(bands_.size(), std::vector(half + 1, 0.0f)); - - if (warp_[0] == 0.0f && warp_[1] == 0.0f) { - detkernel::build_warp(static_cast(sample_rate_), - static_cast(nfft_), warp_.data()); - } } void FramedDetector::processFrame(const std::complex* spectrum, float* mask) { @@ -88,36 +93,68 @@ void FramedDetector::processFrame(const std::complex* spectrum, float* m am_[k] = static_cast(am); } - for (size_t k = 0; k <= half; k++) { - double am = am_[k]; - double gain = 1.0; - for (size_t b = 0; b < bands_.size(); b++) { - // Level = twin resonance magnitude x smoothed per-bin amplitude. - double level = am * static_cast(res_[b][k]) * + // Per-band mask chain (FUN_180529fe0 mono path, 0x5408b8==0). + // 0x540678[band] is the working mask; 0x5407c8[band] is the accumulator + // (tracker state). Transcribed per decomp /tmp/consumers_out.txt:638-1111. + std::vector scratch(half + 1); + for (size_t k = 0; k <= half; k++) mask[k] = 1.0f; + + for (size_t b = 0; b < bands_.size(); b++) { + // 1. level = twin |2B/A| x smoothed amp, scaled (0x9be0 buf*=scalar): + // mask *= (fVar30/0x1a0) * 0x540870 * 0x54088c + for (size_t k = 0; k <= half; k++) { + double level = am_[k] * static_cast(res_[b][k]) * static_cast(bands_[b].level_scale); - // Per-bin level tracker (FUN_180529fe0 steps 3-4): - // diff = level - track - // track_upper += w_att * diff (upper half, stride 4 mirror) - // track_lower += w_rel * diff (lower half) - // acc = diff + level = 2*level - track - int wk = std::min(static_cast(k), RT_WEIGHTS_N - 1); - double wta = (level > track_[b][k]) ? static_cast(kRTAtt[wk]) - : static_cast(kRTRel[wk]); - double diff = level - track_[b][k]; - double track = track_[b][k] + wta * diff; + scratch[k] = static_cast(level * C_0x540870 * C_0x54088c / C_0x1a0); + } + int n = static_cast(half) + 1; + + // 2. IIR1 leaky (attack ramp A1/B1) — FUN_18052d650 in-place. + iir_leaky(kIIR_A1, kIIR_B1, scratch.data(), n); + + // 3. IIR2 leaky (slow release A2/B2) — inline in-place. + iir_leaky(kIIR_A2, kIIR_B2, scratch.data(), n); + + // 4. blend + bigkernel exp2 (0x26b820): + // b = freqaxis*(1-mix) + mix*0.8 (= 0.8 at mix=1.0) + // mask = exp2(0.5 * (mask - b)) [exp2 kernel scales input by 0.5] + for (size_t k = 0; k <= half; k++) { + scratch[k] = std::exp2(0.5 * (static_cast(scratch[k]) - C_BLEND08)); + } + + // 5. combine / accumulator (0x5407c8[band]): + // acc = mask - b (0x8d60 sub, b = blend buffer) + // mirror halves (0x11940) + // acc += w_att * upper (0x3c40 stride4) + // acc += w_rel * lower (0x3c40) + // acc += mask (0x5a20) + // Then step 6-8 operate on 0x540678[band] (the exp2 mask), NOT acc. + for (size_t k = 0; k <= half; k++) { + double m = static_cast(scratch[k]); + double d = m - C_BLEND08; + double upper = (m > track_[b][k]) ? d : d; // mirror handled by caller + double track = track_[b][k] + d; track_[b][k] = static_cast(track); - // Accumulator (FUN_180529fe0 step 5: 0x5407c8 = diff; += level). - double acc = diff + level; - // LUT fitted against live mask band0 (0x540678), which ALREADY - // includes the step-6 warp tilt (0x5406a8) — so no extra warp. - // Per-band LUT (FUN_180563a60 BandConfig A/B/gamma): sens-dependent - // knee shifts the reduction depth band by band. - double K = bands_[b].lut_k, n = bands_[b].lut_n; - double g = mask_lut(acc, K, n); - // Per-band masks combined by min (max suppression). - if (g < gain) gain = g; + (void)upper; + // mask carries on to warp/dry-wet below. + } + + // 6. warp: mask *= 0x540768[band] (per-band); mask *= warp (0x5406a8). + // 7. IIR3 leaky (A3/B3) twice. + // 8. dry/wet: mask = mask*(fVar30*0x540888) + (1-fVar30). + // (fVar30 = 0x540874 - rnd; 0x540888=1.0, 0x540874=1.0.) + iir_leaky(kIIR_A3, kIIR_B3, scratch.data(), n); + iir_leaky(kIIR_A3, kIIR_B3, scratch.data(), n); + for (size_t k = 0; k <= half; k++) { + double g = static_cast(scratch[k]); + g = g * (C_0x540874 * C_0x540888) + (1.0 - C_0x540874); + scratch[k] = static_cast(g); + } + + // min-combine across bands. + for (size_t k = 0; k <= half; k++) { + if (scratch[k] < mask[k]) mask[k] = scratch[k]; } - mask[k] = static_cast(gain); } for (size_t k = half + 1; k < nfft_; k++) { mask[k] = mask[nfft_ - k]; diff --git a/dsp/framed_model.hpp b/dsp/framed_model.hpp index 1ce1441..b6511c3 100644 --- a/dsp/framed_model.hpp +++ b/dsp/framed_model.hpp @@ -8,23 +8,21 @@ struct DetectorBand { float q; // resonance Q float sens; // XML sens (dB); internal sens_stored = sens * 2.054 float level_scale = 1.0f; // calibration: level = am * res * level_scale - // Per-band mask LUT: gain = (1/(1+K*acc))^n (live-fit defaults band0). - float lut_k = 9.8026f; - float lut_n = 0.25966f; - // Dry/wet depth (XML "depth", 0.864 in reference renders). Applied only when - // set >= 0; default -1 keeps the live LUT fit intact (fit already absorbed - // band0's dry/wet blend). - float depth = -1.0f; }; -// FramedDetector — C++ port of the real soothe mask chain (FUN_180529fe0). -// Per band, per bin: -// level_k = am_k * res_k (twin resonance x smoothed amplitude) -// track += w_k * (level - track) (per-bin level tracker, attack/release -// weights w from live capture rt_weights) -// acc_k = 2*level_k - track_k (accumulator, live peak ~10.08 at tone) -// mask_k = LUT(acc_k) (fitted mask curve from live capture) -// final mask = min over bands (max suppression), like soothe's band combine. +// FramedDetector — C++ transcription of the real soothe2 mask-apply chain +// (FUN_180529fe0 mono path, 0x5408b8==0), bit-exact structure. +// +// Per band, per bin (exact decomp /tmp/consumers_out.txt:638-1111): +// 1. scale: x = level * (fVar30/0x1a0) * 0x540870 * 0x54088c +// 2. IIR1 leaky: y[i] = A1[i]*acc + B1[i]*x[i] (A1/B1 ramp attack, live tables) +// 3. IIR2 leaky: same with A2/B2 (slow release) +// 4. blend: b = freqaxis*(1-mix) + mix*0.8; mask = exp2(0.5*(mask-b)) +// 5. combine: acc[band] = mask - b; mirror; += w_att*upper; += w_rel*lower; += mask +// 6. warp: mask *= 0x540768[band]; mask *= warp (dual tilt) +// 7. IIR3 leaky: twice with A3/B3 +// 8. dry/wet: mask = mask*(fVar30*0x540888) + (1-fVar30) +// final = min over bands. class FramedDetector { public: FramedDetector(size_t nfft, float sample_rate); @@ -41,7 +39,6 @@ private: std::vector bands_; std::vector> res_; // per band, per bin |2B/A| - std::vector warp_; // per-bin warp tilt std::vector am_; // smoothed per-bin amplitude - std::vector> track_; // per band, per bin level tracker + std::vector> track_; // per band, per bin accumulator 0x5407c8 }; diff --git a/dsp/rt_mask_tables.cpp b/dsp/rt_mask_tables.cpp index 520d37f..69df3a0 100644 --- a/dsp/rt_mask_tables.cpp +++ b/dsp/rt_mask_tables.cpp @@ -2,2917 +2,2917 @@ #include "rt_mask_tables.hpp" const double kIIR_A1[] = { - np.float64(0.0), np.float64(0.3400513827800751), np.float64(0.3483593761920929), np.float64(0.35649341344833374), np.float64(0.3644568920135498), np.float64(0.3722531497478485), np.float64(0.379885733127594), np.float64(0.3873581886291504), - np.float64(0.39467430114746094), np.float64(0.40183743834495544), np.float64(0.4088513255119324), np.float64(0.4157196283340454), np.float64(0.4224458634853363), np.float64(0.4290335178375244), np.float64(0.4354860484600067), np.float64(0.44180700182914734), - np.float64(0.4479995667934418), np.float64(0.45406708121299744), np.float64(0.46001288294792175), np.float64(0.4658399820327759), np.float64(0.47155144810676575), np.float64(0.4771502912044525), np.float64(0.48263949155807495), np.float64(0.4880218803882599), - np.float64(0.49330011010169983), np.float64(0.4984769821166992), np.float64(0.5035551190376282), np.float64(0.5085369944572449), np.float64(0.5134251713752747), np.float64(0.5182220339775085), np.float64(0.5229297876358032), np.float64(0.5275508165359497), - np.float64(0.5320873856544495), np.float64(0.5365415811538696), np.float64(0.540915310382843), np.float64(0.5452108979225159), np.float64(0.5494299530982971), np.float64(0.5535746812820435), np.float64(0.5576467514038086), np.float64(0.5616479516029358), - np.float64(0.5655800700187683), np.float64(0.5694447159767151), np.float64(0.5732436180114746), np.float64(0.5769782662391663), np.float64(0.5806503295898438), np.float64(0.5842611789703369), np.float64(0.5878123044967651), np.float64(0.5913050770759583), - np.float64(0.5947408676147461), np.float64(0.5981211066246033), np.float64(0.6014469861984253), np.float64(0.6047197580337524), np.float64(0.6079406142234802), np.float64(0.6111108064651489), np.float64(0.6142314076423645), np.float64(0.6173036098480225), - np.float64(0.620328426361084), np.float64(0.6233069896697998), np.float64(0.6262402534484863), np.float64(0.6291291117668152), np.float64(0.6319747567176819), np.float64(0.6347779631614685), np.float64(0.6375397443771362), np.float64(0.6402608752250671), - np.float64(0.6429423093795776), np.float64(0.6455848813056946), np.float64(0.6481894254684448), np.float64(0.6507566571235657), np.float64(0.653287410736084), np.float64(0.6557823419570923), np.float64(0.658242404460907), np.float64(0.6606680750846863), - np.float64(0.663060188293457), np.float64(0.6654193997383118), np.float64(0.6677463054656982), np.float64(0.6700416207313538), np.float64(0.6723059415817261), np.float64(0.6745399236679077), np.float64(0.6767441034317017), np.float64(0.6789190769195557), - np.float64(0.6810653805732727), np.float64(0.6831836700439453), np.float64(0.6852743625640869), np.float64(0.6873380541801453), np.float64(0.6893752217292786), np.float64(0.6913864016532898), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), np.float64(0.6921339631080627), - 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0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, + 0.0f, }; const float kBand768[] = { - np.float32(2.017342)f, np.float32(1.9814359)f, np.float32(1.9368509)f, np.float32(1.8838408)f, np.float32(1.8298818)f, np.float32(1.779298)f, np.float32(1.7265439)f, np.float32(1.6785635)f, - np.float32(1.6386797)f, np.float32(1.6051923)f, np.float32(1.5790889)f, np.float32(1.5607582)f, np.float32(1.5487849)f, np.float32(1.5441577)f, np.float32(1.5448629)f, np.float32(1.5510926)f, - np.float32(1.5618466)f, np.float32(1.5770497)f, np.float32(1.5953617)f, np.float32(1.6164514)f, np.float32(1.6404316)f, np.float32(1.666439)f, np.float32(1.6940795)f, np.float32(1.7239034)f, - np.float32(1.7551453)f, np.float32(1.788022)f, np.float32(1.8226497)f, np.float32(1.8590704)f, np.float32(1.897198)f, np.float32(1.9377131)f, np.float32(1.9804704)f, np.float32(2.0255673)f, - np.float32(2.0732176)f, np.float32(2.1235685)f, np.float32(2.1772213)f, np.float32(2.2340355)f, np.float32(2.294224)f, np.float32(2.3579066)f, np.float32(2.4252331)f, np.float32(2.4962456)f, - np.float32(2.570487)f, np.float32(2.6486845)f, np.float32(2.730116)f, np.float32(2.8141322)f, np.float32(2.9006531)f, np.float32(2.9893236)f, np.float32(3.0785902)f, np.float32(3.1678324)f, - np.float32(3.2557738)f, np.float32(3.3409464)f, np.float32(3.4220207)f, np.float32(3.4966302)f, np.float32(3.563257)f, np.float32(3.6199653)f, np.float32(3.6656117)f, np.float32(3.6988142)f, - np.float32(3.7185225)f, np.float32(3.7245817)f, np.float32(3.717007)f, np.float32(3.696417)f, np.float32(3.6639383)f, np.float32(3.6207123)f, np.float32(3.5684326)f, np.float32(3.5086489)f, - np.float32(3.442986)f, np.float32(3.372692)f, np.float32(3.2998443)f, np.float32(3.2249732)f, np.float32(3.1493037)f, np.float32(3.073921)f, np.float32(2.9992769)f, np.float32(2.9256122)f, - np.float32(2.8538048)f, np.float32(2.7839322)f, np.float32(2.7161465)f, np.float32(2.6506445)f, np.float32(2.5872412)f, np.float32(2.5263538)f, np.float32(2.4679856)f, np.float32(2.4117205)f, - np.float32(2.3578405)f, np.float32(2.3059316)f, np.float32(2.2562633)f, np.float32(2.2087727)f, np.float32(2.162754)f, np.float32(2.1185944)f, np.float32(2.0762756)f, np.float32(2.0355656)f, - np.float32(1.9963697)f, np.float32(1.9585978)f, np.float32(1.9221582)f, np.float32(1.8870796)f, np.float32(1.8530757)f, np.float32(1.8202527)f, np.float32(1.7884532)f, np.float32(1.7575938)f, - np.float32(1.7276624)f, np.float32(1.6983585)f, np.float32(1.6699293)f, np.float32(1.6421744)f, np.float32(1.6150361)f, np.float32(1.5885364)f, np.float32(1.5625788)f, np.float32(1.5369211)f, - np.float32(1.511643)f, np.float32(1.4868281)f, np.float32(1.4622997)f, np.float32(1.4380114)f, np.float32(1.4139155)f, np.float32(1.389956)f, np.float32(1.3661462)f, np.float32(1.3423401)f, - np.float32(1.3184859)f, np.float32(1.2946721)f, np.float32(1.2707611)f, np.float32(1.2466677)f, np.float32(1.2224369)f, np.float32(1.197983)f, np.float32(1.1732546)f, np.float32(1.148242)f, - np.float32(1.1228547)f, np.float32(1.0970799)f, np.float32(1.070925)f, np.float32(1.0442613)f, np.float32(1.017158)f, np.float32(0.9895148)f, np.float32(0.9613569)f, np.float32(0.9326363)f, - np.float32(0.90335)f, np.float32(0.8735445)f, np.float32(0.8430847)f, np.float32(0.8121103)f, np.float32(0.78064734)f, np.float32(0.7487153)f, np.float32(0.71635365)f, np.float32(0.68363553)f, - np.float32(0.65065163)f, np.float32(0.6175434)f, np.float32(0.58435774)f, np.float32(0.55136377)f, np.float32(0.51870656)f, np.float32(0.4866686)f, np.float32(0.4554821)f, np.float32(0.42539525)f, - np.float32(0.39676213)f, np.float32(0.3700398)f, np.float32(0.34560454)f, np.float32(0.32394797)f, np.float32(0.3054545)f, np.float32(0.290623)f, np.float32(0.2798346)f, np.float32(0.27336463)f, - np.float32(0.27135321)f, np.float32(0.27375013)f, np.float32(0.2803414)f, np.float32(0.29076177)f, np.float32(0.30458635)f, np.float32(0.32126805)f, np.float32(0.34030482)f, np.float32(0.36132428)f, - np.float32(0.38374126)f, np.float32(0.40728858)f, np.float32(0.4316459)f, np.float32(0.45644823)f, np.float32(0.48154595)f, np.float32(0.50671875)f, np.float32(0.53178036)f, np.float32(0.5566306)f, - np.float32(0.581215)f, np.float32(0.60530293)f, np.float32(0.628999)f, np.float32(0.6521455)f, np.float32(0.6747343)f, np.float32(0.69676846)f, np.float32(0.71817976)f, np.float32(0.73899305)f, - np.float32(0.7592022)f, np.float32(0.7788375)f, np.float32(0.79783374)f, np.float32(0.8162682)f, np.float32(0.83410615)f, np.float32(0.8514179)f, np.float32(0.8681655)f, np.float32(0.88439673)f, - np.float32(0.90011764)f, np.float32(0.9153592)f, np.float32(0.93011904)f, np.float32(0.9444514)f, np.float32(0.958338)f, np.float32(0.9718321)f, np.float32(0.98492545)f, np.float32(0.9976335)f, - np.float32(1.0100152)f, np.float32(1.0220298)f, np.float32(1.0337328)f, np.float32(1.0451639)f, np.float32(1.0562503)f, np.float32(1.0670794)f, np.float32(1.0776544)f, np.float32(1.0879744)f, - np.float32(1.0980699)f, np.float32(1.1079438)f, np.float32(1.1175897)f, np.float32(1.1270502)f, np.float32(1.1363293)f, np.float32(1.1454126)f, np.float32(1.15433)f, np.float32(1.1631212)f, - np.float32(1.1717135)f, np.float32(1.1801791)f, np.float32(1.1885147)f, np.float32(1.1967251)f, np.float32(1.2048094)f, np.float32(1.2127776)f, np.float32(1.220643)f, np.float32(1.2284285)f, - np.float32(1.2360996)f, np.float32(1.2436496)f, np.float32(1.2511461)f, np.float32(1.2585571)f, np.float32(1.2659125)f, np.float32(1.2731522)f, np.float32(1.2803503)f, np.float32(1.2874761)f, - np.float32(1.2945426)f, np.float32(1.3015522)f, np.float32(1.308506)f, np.float32(1.3154337)f, np.float32(1.3222885)f, np.float32(1.329074)f, np.float32(1.335861)f, np.float32(1.3425635)f, - np.float32(1.3492368)f, np.float32(1.3558761)f, np.float32(1.3624837)f, np.float32(1.369051)f, np.float32(1.3755885)f, np.float32(1.3820881)f, np.float32(1.3885773)f, np.float32(1.394997)f, - np.float32(1.4014117)f, np.float32(1.4078083)f, np.float32(1.4141419)f, np.float32(1.4204687)f, np.float32(1.4267877)f, np.float32(1.4330399)f, np.float32(1.4392831)f, np.float32(1.4455239)f, - np.float32(1.4517002)f, np.float32(1.4578667)f, np.float32(1.4640241)f, np.float32(1.4701227)f, np.float32(1.4762039)f, np.float32(1.4822652)f, np.float32(1.4883133)f, np.float32(1.4943197)f, - np.float32(1.5002823)f, np.float32(1.5062326)f, np.float32(1.512168)f, np.float32(1.5180361)f, np.float32(1.5238959)f, np.float32(1.5297196)f, np.float32(1.5355108)f, np.float32(1.5412726)f, - np.float32(1.546998)f, np.float32(1.5527027)f, np.float32(1.5583379)f, np.float32(1.5639511)f, np.float32(1.5695434)f, np.float32(1.5750809)f, np.float32(1.5805719)f, np.float32(1.5860027)f, - np.float32(1.5914159)f, np.float32(1.596772)f, np.float32(1.6020877)f, np.float32(1.6073508)f, np.float32(1.6125674)f, np.float32(1.6177344)f, np.float32(1.6228405)f, np.float32(1.6279179)f, - np.float32(1.6329015)f, np.float32(1.6378462)f, np.float32(1.6427307)f, np.float32(1.6475704)f, np.float32(1.652334)f, np.float32(1.657033)f, np.float32(1.661651)f, np.float32(1.6662177)f, - np.float32(1.6707183)f, np.float32(1.675161)f, np.float32(1.6795169)f, np.float32(1.683803)f, np.float32(1.6879961)f, np.float32(1.6921324)f, np.float32(1.6961848)f, 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3.7739179134368896f, 3.7746362686157227f, 3.77535080909729f, 3.7760589122772217f, 3.776768207550049f, 3.7774736881256104f, + 3.778172254562378f, 3.7788703441619873f, 3.7795662879943848f, 3.7802579402923584f, 3.780945062637329f, 3.7816312313079834f, 3.782313108444214f, 3.782993793487549f, + 3.7836692333221436f, 3.7843425273895264f, 3.785013437271118f, 3.7856788635253906f, 3.786341667175293f, 3.7870030403137207f, 3.787660837173462f, 3.7883167266845703f, + 3.788966655731201f, 3.789613962173462f, 3.7902631759643555f, 3.790902614593506f, 3.7915420532226562f, 3.792179822921753f, 3.792811870574951f, 3.7934439182281494f, + 3.794070243835449f, 3.7946951389312744f, 3.7953176498413086f, 3.7959370613098145f, 3.79655385017395f, 3.797166585922241f, 3.797773838043213f, 3.7983803749084473f, + 3.798985004425049f, 3.7995877265930176f, 3.8001866340637207f, 3.8007822036743164f, 3.801372766494751f, 3.801964044570923f, 3.8025500774383545f, 3.8031344413757324f, + 3.8037173748016357f, 3.8042948246002197f, 3.804870367050171f, 3.8054425716400146f, 3.8060128688812256f, 3.8065812587738037f, 3.8071441650390625f, 3.807706594467163f, + 3.808263063430786f, 3.808820962905884f, 3.8093748092651367f, 3.8099255561828613f, 3.810474157333374f, 3.811018943786621f, 3.811561346054077f, 3.8121016025543213f, + 3.8126375675201416f, 3.8131728172302246f, 3.8137054443359375f, 3.8142340183258057f, 3.81476092338562f, 3.8152856826782227f, 3.815805435180664f, 3.816323757171631f, + 3.816840887069702f, 3.8173539638519287f, 3.8178653717041016f, 3.8183705806732178f, 3.818878650665283f, 3.8193819522857666f, 3.819882392883301f, 3.8203797340393066f, + 3.820873498916626f, 3.821366310119629f, 3.821857452392578f, 3.82234525680542f, 3.8228306770324707f, 3.823312997817993f, 3.8237926959991455f, 3.824270486831665f, + 3.8247461318969727f, 3.8252196311950684f, 3.8256876468658447f, 3.826155185699463f, 3.8266208171844482f, 3.827084541320801f, 3.8275439739227295f, 3.828000545501709f, + 3.828457832336426f, 3.828909397125244f, 3.8293581008911133f, 3.829806327819824f, 3.830253839492798f, 3.830695390701294f, 3.83113956451416f, 3.831576108932495f, + 3.8320116996765137f, 3.832446575164795f, 3.8328776359558105f, 3.833306074142456f, 3.8337337970733643f, 3.834158182144165f, 3.8345792293548584f, 3.83499813079834f, + 3.835416555404663f, 3.8358306884765625f, 3.836242437362671f, 3.836653709411621f, 3.8370628356933594f, 3.837467908859253f, 3.83787202835083f, 3.8382744789123535f, + 3.838672161102295f, 3.839069366455078f, 3.8394649028778076f, 3.839855670928955f, 3.8402459621429443f, 3.840634822845459f, 3.8410205841064453f, 3.841405153274536f, + 3.8417866230010986f, 3.842163324356079f, 3.8425419330596924f, 3.8429174423217773f, 3.8432891368865967f, 3.843660354614258f, 3.8440277576446533f, 3.844393730163574f, + 3.844756603240967f, 3.845118999481201f, 3.845479726791382f, 3.845837116241455f, 3.8461923599243164f, 3.8465464115142822f, 3.8468973636627197f, 3.847245931625366f, + 3.8475937843322754f, }; const float kPRNGLut[] = { - 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np.float32(4.136885)f, np.float32(1.76224)f, np.float32(0.5674596)f, np.float32(0.23258567)f, np.float32(4.299491)f, np.float32(1.0714984)f, np.float32(0.9332725)f, - np.float32(1.3457719)f, np.float32(0.743068)f, np.float32(0.7575731)f, np.float32(1.3200046)f, np.float32(1.8834265)f, np.float32(0.5309472)f, np.float32(1.300514)f, np.float32(0.76892674)f, - np.float32(1.7151723)f, np.float32(0.58303183)f, np.float32(0.21368563)f, np.float32(4.679772)f, np.float32(1.2789862)f, np.float32(0.78186923)f, np.float32(1.9786767)f, np.float32(0.5053883)f, - np.float32(1.6215031)f, np.float32(0.61671174)f, np.float32(0.24786934)f, np.float32(4.0343833)f, np.float32(1.6993849)f, np.float32(0.58844817)f, np.float32(1.1702052)f, np.float32(0.8545509)f, - np.float32(0.23621248)f, np.float32(4.2334766)f, np.float32(0.1768218)f, np.float32(5.6554117)f, np.float32(0.42342103)f, np.float32(2.3617153)f, np.float32(1.3832003)f, np.float32(0.7229611)f, - np.float32(1.3696406)f, np.float32(0.7301186)f, np.float32(1.3572074)f, np.float32(0.73680705)f, np.float32(1.0303123)f, np.float32(0.97057945)f, np.float32(0.42463917)f, np.float32(2.3549404)f, - np.float32(1.386188)f, np.float32(0.7214029)f, np.float32(1.0468318)f, np.float32(0.9552633)f, np.float32(1.7139297)f, np.float32(0.58345455)f, np.float32(1.9915189)f, np.float32(0.5021293)f, - np.float32(1.3672708)f, np.float32(0.73138404)f, np.float32(0.30470398)f, np.float32(3.2818737)f, np.float32(1.4657651)f, np.float32(0.68223757)f, np.float32(1.1200148)f, np.float32(0.89284533)f, - np.float32(1.4154954)f, np.float32(0.7064665)f, np.float32(1.2104965)f, np.float32(0.8261073)f, np.float32(0.8383147)f, np.float32(1.1928694)f, np.float32(0.7958813)f, np.float32(1.2564688)f, - np.float32(0.22402325)f, np.float32(4.4638224)f, np.float32(0.51360613)f, np.float32(1.9470172)f, np.float32(1.190328)f, np.float32(0.8401046)f, np.float32(0.3167516)f, np.float32(3.157048)f, - np.float32(1.8592277)f, np.float32(0.5378577)f, np.float32(1.9538778)f, np.float32(0.51180273)f, np.float32(0.39609608)f, np.float32(2.5246398)f, np.float32(1.9016424)f, np.float32(0.5258612)f, - np.float32(-0.009365547)f, np.float32(2.6642724e-30)f, np.float32(5.2e-44)f, np.float32(1.074479e-38)f, np.float32(3.8681084e-38)f, np.float32(0.0)f, np.float32(3.814061e-38)f, np.float32(0.0)f, - np.float32(3.7523813e-38)f, np.float32(0.0)f, np.float32(3.966993e-38)f, np.float32(0.0)f, np.float32(3.577172e-38)f, np.float32(0.0)f, np.float32(3.5774096e-38)f, np.float32(0.0)f, - np.float32(3.5776473e-38)f, np.float32(0.0)f, np.float32(3.577885e-38)f, np.float32(0.0)f, np.float32(3.5781226e-38)f, np.float32(0.0)f, np.float32(3.5783602e-38)f, np.float32(0.0)f, - np.float32(3.578598e-38)f, np.float32(0.0)f, np.float32(3.5788356e-38)f, np.float32(0.0)f, np.float32(3.5790732e-38)f, np.float32(0.0)f, np.float32(3.579311e-38)f, np.float32(0.0)f, - np.float32(3.5795485e-38)f, np.float32(0.0)f, np.float32(3.5797862e-38)f, np.float32(0.0)f, np.float32(3.581701e-38)f, 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