diff --git a/cpp/zimt/fourier_bank.cc b/cpp/zimt/fourier_bank.cc index 809ada6..cd4c359 100644 --- a/cpp/zimt/fourier_bank.cc +++ b/cpp/zimt/fourier_bank.cc @@ -73,9 +73,9 @@ float Loudness(float freq, float val) { const float *valsNext = &pars[high_ix][0]; float vals1 = (1.0 - interp) * vals[1] + interp * valsNext[1]; float vals2 = (1.0 - interp) * vals[2] + interp * valsNext[2]; - static const float constant1 = 46.249442992274332; - static const float constant2 = 80.768552802927118; - static const float kMul = 3.4173486834828384; + static const float constant1 = 46.37287; + static const float constant2 = 80.892916; + static const float kMul = 3.41562; val *= (constant1 + vals1) * (1.0 / constant2); val += kMul * vals2; return val; @@ -83,12 +83,12 @@ float Loudness(float freq, float val) { float SimpleDb(float energy) { // ideally 78.3 db, but somehow this works better - static const float full_scale_sine_db = 75.868041059390563; + static const float full_scale_sine_db = 75.8495; static const float exp_full_scale_sine_db = exp(full_scale_sine_db); // epsilon, but the biggest one you saw (~4.95e23) static const float epsilon = 1.0033294789821357e-09 * exp_full_scale_sine_db; // kMul allows faster log instead of log10 below, incorporating multiplying by 10 for decibel. - static const float kMul0 = 7.7911366413917413; + static const float kMul0 = 7.7888; static const float kMul = kMul0 / log(10); return kMul * log(energy + epsilon); } @@ -96,21 +96,21 @@ float SimpleDb(float energy) { void PrepareMasker(hwy::AlignedNDArray& freq, float *masker, size_t out_ix) { - static const double kMul = 0.92558468864724108; + static const double kMul = 0.925585; // convolve in time and freq, 5 freq bins, 3 time bins static const double c[12] = { - 0.011551012731481482, - 0.02009898726851852, - 0.27419898726851855, - 0.04009898726851849, - 0.32702682291666668, - 0.64009898726851855, - 0.36397005208333333, - 0.65050101273148142, - 1.5422942263604758, - 0.10333000000000001, - 1.3735024915962184, - 7.4513898383588755, + 0.011792864242897921, + 0.02141444616229312, + 0.27204462940133883, + 0.04081130408323199, + 0.32503380520713393, + 0.63960360145409523, + 0.36547565427708706, + 0.64646959791651382, + 1.5271657112757793, + 0.10296035397317034, + 1.3755662770950172, + 7.4439086735915927, }; static const float div = 1.0 / (2*(c[0]+c[1]+c[2]+c[3]+c[4]+c[5]+c[6]+c[7]+c[8])+c[9]+c[10]+c[11]); const size_t oi2 = std::max(2, out_ix) - 2; @@ -137,14 +137,78 @@ void PrepareMasker(hwy::AlignedNDArray& freq, static const double octaves_in_20_to_20000 = log(20000/20.)/log(2); static const double octaves_per_rot = octaves_in_20_to_20000 / float(kNumRotators - 1); - static const double masker_step_per_octave_up_0 = 20.982514311296299; - static const double masker_step_per_octave_up_1 = 27.165698567146499; - static const double masker_step_per_octave_up_2 = -22.32086488660067; - static const double masker_step_per_rot_up_0 = octaves_per_rot * masker_step_per_octave_up_0; - static const double masker_step_per_rot_up_1 = octaves_per_rot * masker_step_per_octave_up_1; - static const double masker_step_per_rot_up_2 = octaves_per_rot * masker_step_per_octave_up_2; + static const double masker_step_per_octave_upZ[30] = { + 20.98103630850407, + 20.98103630850407, + 20.98103630850407, + 20.98103630850407, + 20.98103630850407, + 20.971036308504068, + 20.98103630850407, + 20.98103630850407, + 20.98103630850407, + 20.98103630850407, + 27.164728846693212, + 27.164728846693212, + 27.164728846693212, + 27.164728846693212, + 27.164728846693212, + 27.164728846693212, + 27.164728846693212, + 27.234728846693212, + 27.164728846693212, + 27.164728846693212, + -23.182165772713049, + -23.66616577271305, + -23.182165772713049, + -22.936865772713052, + -23.112165772713048, + -23.19216577271305, + -23.182165772713049, + -23.182165772713049, + -23.182165772713049, + -23.182165772713049, + }; + + // Strange masking (flip from usual positive to negative mask damping per + // octave in the higher freqs) -- this could be related to middle ear + // mechanisms having sprung mass, distributing lower and mid frequencies + // into higher frequencies more directly and causing masking. + // Could be a fluke. + static const double masker_step_per_octave_up[30] = { + 20.98103630850407, + 17.593036308504068, + 23.781036308504071, + 20.98103630850407, + 20.98103630850407, + 20.971036308504068, + 20.98103630850407, + 21.98103630850407, + 22.98103630850407, + 23.98103630850407, + 24.164728846693212, + 25.164728846693212, + 26.164728846693212, + 27.164728846693212, + 27.164728846693212, + 27.164728846693212, + 27.164728846693212, + 20.234728846693212, + 17.432728846693212, + 5.1647288466932118, + -5.1821657727130486, + -10.66616577271305, + -15.182165772713049, + -15.33686577271305, + -23.112165772713048, + -23.19216577271305, + -23.182165772713049, + -23.182165772713049, + -17.022165772713048, + -23.182165772713049, + }; - static const double masker_step_per_octave_down = 22.395986972317345; + static const double masker_step_per_octave_down = 22.2; static const double masker_step_per_rot_down = octaves_per_rot * masker_step_per_octave_down; // propagate masker up float mask = 0; @@ -154,13 +218,7 @@ void PrepareMasker(hwy::AlignedNDArray& freq, mask = v; } masker[k] = std::max(masker[k], mask); - if (3 * k < kNumRotators) { - mask -= masker_step_per_rot_up_0; - } else if (3 * k < 2 * kNumRotators) { - mask -= masker_step_per_rot_up_1; - } else { - mask -= masker_step_per_rot_up_2; - } + mask -= octaves_per_rot * masker_step_per_octave_up[30 * k / kNumRotators]; } // propagate masker down mask = 0; @@ -185,13 +243,44 @@ void FinalizeDb(std::vector rotator_frequency, PrepareMasker(channels, &masker[0], out_ix); - static const double masker_gap = 20.831477534908842; - static const float maskingStrength = 0.40206083915840007; + static const double masker_gap = 20.832650866565942; + static const double maskingStrengthLut[8] = { + 0.40243735146213372, + 0.53929582802463372, + 0.2330768290011962, + 0.45162153347411349, + 0.40441574013400872, + 0.3624992033380407, + 0.40282874306369626, + 0.58086335243869625, + }; + static const double mulLut[8] = { + 1.0676829999999999, + 0.89912999999999998, + 0.90283000000000002, + 1.0, + 0.92053000000000007, + 1.0, + 1.0008999999999999, + 0.93271699999999991, + }; + static const double addLut[8] = { + 0, + 0.079470000000000013, + 0.14000000000000001, + 0, + 0.0070000000000000001, + 0.009470000000000001, + 0, + 0, + }; static const float min_limit = 0; // Scan frequencies from bottom to top, let lower frequencies to mask higher frequencies. // 'masker' maintains the masking envelope from one bin to next. for (int k = 0; k < kNumRotators; ++k) { + int ix = 8 * k / kNumRotators; + float maskingStrength = maskingStrengthLut[ix]; float v = channels[{out_ix}][k]; double mask = masker[k] - masker_gap; if (v < min_limit) { @@ -201,6 +290,8 @@ void FinalizeDb(std::vector rotator_frequency, v = maskingStrength * mask + (1.0 - maskingStrength) * v; } channels[{out_ix}][k] = v; + channels[{out_ix}][k] *= mulLut[ix]; + channels[{out_ix}][k] += addLut[ix]; } } @@ -269,7 +360,7 @@ Rotators::Rotators(int num_channels, std::vector frequency, window[i] = std::pow(kWindow, bw * kBandwidthMagic); float windowM1 = 1.0f - window[i]; float f = frequency[i] * 2.0f * M_PI / sample_rate; - static const float full_scale_sine_db = exp(76.63936108268561); + static const float full_scale_sine_db = exp(76.639635259053421); const float gainer = sqrt(full_scale_sine_db); gain[i] = gainer * filter_gains[i] * pow(windowM1, 3.0); rot[0][i] = float(std::cos(f)); diff --git a/cpp/zimt/nsim.cc b/cpp/zimt/nsim.cc index 9848b99..75b887c 100644 --- a/cpp/zimt/nsim.cc +++ b/cpp/zimt/nsim.cc @@ -199,9 +199,9 @@ float HwyNSIM(const hwy::AlignedNDArray& a, return Mul(delta_a, delta_b); }); const Vec two = Set(d, 2.0); - const Vec C1 = Set(d, 131.86067981547336); - const Vec C3 = Set(d, 68.649258792691157); - const Vec C4 = Set(d, 27.590645775908353e-7); + const Vec C1 = Set(d, 130.53981769200561); + const Vec C3 = Set(d, 68.621068848124807); + const Vec C4 = Set(d, 1.9205364350341391e-05); float nsim_sum = 0.0; const Vec num_channels_vec = Set(d, num_channels); const Vec zero = Zero(d); diff --git a/cpp/zimt/zimtohrli.h b/cpp/zimt/zimtohrli.h index 00f96d2..7d2c7ba 100644 --- a/cpp/zimt/zimtohrli.h +++ b/cpp/zimt/zimtohrli.h @@ -285,10 +285,10 @@ struct Zimtohrli { std::optional cam_filterbank; // The window in perceptual_sample_rate time steps when compting the NSIM. - size_t nsim_step_window = 8; + size_t nsim_step_window = 6; // The window in channels when computing the NSIM. - size_t nsim_channel_window = 7; + size_t nsim_channel_window = 6; // TODO(jyrki): reduce further // The window of the dynamic time warp that matches audio signals. //