Files
soothe2-re/dsp/spectral.cpp
T
Matiq 8805a8f183 Implement real RFFT for FIR construction (experimental)
Added real RFFT functions (execute_real_forward, execute_real_inverse)
to fft.hpp/cpp. These implement the standard algorithm for real-valued
FFT using complex FFT of half size.

Updated buildFirFromMask to use real RFFTs matching the plugin's pipeline:
1. log(mask) → negate
2. forward real RFFT (opB)
3. EXP in-place
4. inverse real RFFT (opC)
5. Window
6. forward real RFFT (opD)

However, the real RFFT implementation makes results worse (10.377 dB vs
1.825 dB default). The plugin's real RFFT likely has subtle differences
(normalization, twiddle factors) that are not captured by the standard
algorithm.

The default path (no FIRCONV) remains the best approach with 1.825 dB
TOTAL error.

Future work: Reverse-engineer the plugin's exact real RFFT implementation
from disassembly (th1a90/th2180) to achieve bit-exact FIR construction.
2026-08-27 19:48:34 +03:00

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#include "spectral.hpp"
#include "fftconv.hpp"
#include "log2_ln.hpp"
#include "exp2_tables.hpp"
#include "exp2.hpp"
#include <cmath>
#include <cstring>
#include <vector>
#include <cstdlib>
#include <cstdio>
SpectralProcessor::SpectralProcessor(size_t nfft, size_t hop, float sample_rate)
: nfft_(nfft), hop_(hop), frame_count_(0), output_pos_(0),
detector_(nfft, sample_rate) {
window_ = new double[nfft_];
computeWindow();
fft::init_plan(&plan_, static_cast<uint32_t>(std::log2(nfft_)));
buf_ = new std::complex<double>[nfft_];
tmp_buf_ = new std::complex<double>[nfft_];
fir_buf_ = new std::complex<double>[nfft_];
fir_freq_ = new std::complex<double>[nfft_];
overlap_.resize(nfft_, 0.0f);
mask_.resize(nfft_, 1.0f);
// Build FIR window: falling half of periodic Hann(4096).
// Plugin reads window[N/2..N-1] of periodic Hann (rising 0→1).
fir_window_.resize(nfft_);
for (size_t i = 0; i < nfft_; i++) {
fir_window_[i] = 0.5 * (1.0 - std::cos(2.0 * M_PI * i / nfft_));
}
}
SpectralProcessor::~SpectralProcessor() {
delete[] window_;
delete[] buf_;
delete[] tmp_buf_;
delete[] fir_buf_;
delete[] fir_freq_;
}
void SpectralProcessor::setDetectorParams(const std::vector<DetectorBand>& bands) {
detector_.setParams(bands);
loadWinFreq();
}
void SpectralProcessor::computeWindow() {
// RT_WIN: 0=symmetric hann (legacy), 1=periodic hann, 2=rectangular
static const int winmode = getenv("RT_WIN") ? atoi(getenv("RT_WIN")) : 0;
for (size_t i = 0; i < nfft_; i++) {
double v;
if (winmode == 1) v = 0.5 * (1.0 - std::cos(2.0 * M_PI * i / nfft_));
else if (winmode == 2) v = 1.0;
else v = 0.5 * (1.0 - std::cos(2.0 * M_PI * i / (nfft_ - 1)));
window_[i] = v;
}
}
void SpectralProcessor::stftFrame(const float* in, std::complex<double>* out) {
for (size_t i = 0; i < nfft_; i++) {
out[i] = std::complex<double>(static_cast<double>(in[i]) * window_[i], 0.0);
}
fft::execute(&plan_, out);
}
void SpectralProcessor::istftFrame(std::complex<double>* in, float* out, float* overlap) {
memcpy(tmp_buf_, in, nfft_ * sizeof(std::complex<double>));
fft::execute_inverse(&plan_, tmp_buf_);
static bool wola_computed = false;
static float wola_norm = 1.0f;
// RT_SYN: 0=synthesis window = analysis window (WOLA), 1=none
static const int synmode = getenv("RT_SYN") ? atoi(getenv("RT_SYN")) : 0;
if (!wola_computed) {
double wola_sum = 0.0;
for (size_t i = 0; i < nfft_; i++) {
double w = (synmode == 1) ? 1.0 : window_[i];
wola_sum += window_[i] * w;
}
wola_norm = static_cast<float>(wola_sum / hop_);
wola_computed = true;
}
for (size_t i = 0; i < nfft_; i++) {
double w = (synmode == 1) ? 1.0f : window_[i];
overlap[i] += static_cast<float>(tmp_buf_[i].real() * w);
}
for (size_t i = 0; i < hop_; i++) {
out[i] = overlap[i] / wola_norm;
}
for (size_t i = 0; i < nfft_ - hop_; i++) {
overlap[i] = overlap[i + hop_];
}
for (size_t i = nfft_ - hop_; i < nfft_; i++) {
overlap[i] = 0.0f;
}
}
void SpectralProcessor::loadWinFreq() {
if (win_freq_loaded_) return;
win_freq_loaded_ = true;
// Try to load WIN_freq from live capture (handoff/rtwin_freq_44100.npy)
FILE* f = fopen("handoff/rtwin_freq_44100.npy", "rb");
if (!f) {
// Fallback: compute periodic Hann, second half (0.5→1.0 rising)
win_freq_.resize(nfft_ / 2 + 1);
for (size_t i = 0; i <= nfft_ / 2; i++) {
win_freq_[i] = static_cast<float>(0.5 * (1.0 - std::cos(2.0 * M_PI * i / nfft_)));
}
return;
}
// Read numpy header
char header[128];
if (fread(header, 1, 6, f) != 6) { fclose(f); return; }
// Skip to data (numpy format: magic + header_len + desc)
fseek(f, 0, SEEK_END);
long fsize = ftell(f);
fseek(f, 0, SEEK_SET);
// Simple approach: skip header until '\n' appears, then read raw float32
fseek(f, 0, SEEK_SET);
int c;
while ((c = fgetc(f)) != '\n' && c != EOF) {}
// Read count (should be 8193 for 44100)
int32_t count = 0;
fread(&count, 4, 1, f);
// Actually numpy header is more complex; just read all remaining as float32
fseek(f, 0, SEEK_SET);
// Skip to data: find first 'N' (for 'astype') then skip past it
fseek(f, 6, SEEK_SET);
while ((c = fgetc(f)) != '\n' && c != EOF) {}
// Now at data start. Read until we have enough floats
std::vector<float> raw;
float val;
while (fread(&val, 4, 1, f) == 1) {
raw.push_back(val);
}
fclose(f);
if (raw.size() > 0) {
win_freq_ = raw;
} else {
// Fallback
win_freq_.resize(nfft_ / 2 + 1);
for (size_t i = 0; i <= nfft_ / 2; i++) {
win_freq_[i] = static_cast<float>(0.5 * (1.0 - std::cos(2.0 * M_PI * i / nfft_)));
}
}
}
void SpectralProcessor::buildFirFromMask(const float* mask, std::complex<double>* fir, size_t nbin) {
// Plugin FIR construction pipeline (52b550-52b8bb) uses real RFFTs:
// 1. log(bands) → negate
// 2. forward real RFFT (opB, th1a90)
// 3. EXP in-place (140b30)
// 4. inverse real RFFT (opC, th2180)
// 5. Window with WIN_freq
// 6. forward real RFFT (opD, th1a90)
// 7. Normalize: FIR[0]=1, FIR[1]=0
const size_t half = nfft_ / 2;
const size_t nfft = nfft_;
// Step 1: log(mask) and negate
std::vector<double> log_mask(nfft);
for (size_t i = 0; i <= half; i++) {
float m = mask[i];
if (m > 1e-12f) {
float ln_m = soothe2::ln_plugin_f32(m);
log_mask[i] = -static_cast<double>(ln_m);
} else {
log_mask[i] = 0.0;
}
}
// Zero upper half
for (size_t i = half + 1; i < nfft; i++) {
log_mask[i] = 0.0;
}
// Step 2: forward real RFFT (opB)
std::vector<std::complex<double>> H(half + 1);
fft::execute_real_forward(&plan_, log_mask.data(), H.data());
// Step 3: EXP in-place using plugin's exp2
for (size_t i = 0; i <= half; i++) {
double re = H[i].real();
double im = H[i].imag();
double exp_re = exp2d::exp2_dsp(re);
H[i] = std::complex<double>(exp_re * std::cos(im), exp_re * std::sin(im));
}
// Step 4: inverse real RFFT (opC)
std::vector<double> time_domain(nfft);
fft::execute_real_inverse(&plan_, H.data(), time_domain.data());
// Step 5: Window with WIN_freq (falling half of periodic Hann)
if (!win_freq_.empty() && win_freq_.size() > half) {
for (size_t i = 0; i < half; i++) {
time_domain[i] *= static_cast<double>(win_freq_[half + i]);
}
}
// Zero upper half
for (size_t i = half; i < nfft; i++) {
time_domain[i] = 0.0;
}
// Step 6: forward real RFFT (opD)
std::vector<std::complex<double>> H_final(half + 1);
fft::execute_real_forward(&plan_, time_domain.data(), H_final.data());
// Step 7: Normalize and copy to output
double scale = 1.0;
if (std::abs(H_final[0].real()) > 1e-12) {
scale = 1.0 / H_final[0].real();
}
// Copy to full complex array
for (size_t i = 0; i <= half; i++) {
fir[i] = H_final[i] * scale;
}
// Mirror for negative frequencies
for (size_t i = 1; i < half; i++) {
fir[nfft - i] = std::conj(fir[i]);
}
// Enforce FIR[0]=1, FIR[1]=0
fir[0] = std::complex<double>(1.0, 0.0);
if (half >= 1) {
fir[1] = std::complex<double>(0.0, 0.0);
}
}
void SpectralProcessor::processBlock(float* in, float* out, size_t num_samples, size_t num_channels) {
memset(out, 0, num_samples * sizeof(float));
if (num_samples == 0 || num_samples < nfft_) {
return;
}
static const int firconv = []() {
const char* e = getenv("RT_FIRCONV");
return e ? atoi(e) : 0;
}();
size_t nframes = (num_samples - nfft_) / hop_ + 1;
for (size_t f = 0; f < nframes; f++) {
size_t offset = f * hop_;
if (offset + nfft_ > num_samples) break;
stftFrame(in + offset, buf_);
detector_.processFrame(buf_, mask_.data());
if (firconv == 3) {
// RT_FIRCONV=3 (NOTES 24k): plugin application law decoded live:
// applied_gain = 1.019 * V^1.8345 per bin (rms 0.0025 dB over
// 8 drive levels). V = band curve (detector output); here M.
for (size_t i = 0; i < nfft_; i++) {
double m = std::max(static_cast<double>(mask_[i]), 1e-12);
double a = 1.019 * std::pow(m, 1.8345);
buf_[i] *= a;
}
} else if (firconv) {
// RT_FIRCONV=2: Full FIR construction pipeline (52b550-52b8bb).
// mask → reciprocal (1/mask) → window → normalize → complex multiply.
// This replicates the plugin's FFT-conv FIR design path.
buildFirFromMask(mask_.data(), fir_freq_, nfft_);
// Complex multiply FIR × audio spectrum
for (size_t i = 0; i < nfft_; i++) {
buf_[i] *= fir_freq_[i];
}
} else if (firconv == 1) {
// RT_FIRCONV=1: Simple frequency-domain mask multiply (legacy).
for (size_t i = 0; i < nfft_; i++) {
fir_freq_[i] = std::complex<double>(
static_cast<double>(mask_[i % (nfft_/2+1)]), 0.0);
}
for (size_t i = 0; i < nfft_; i++) {
buf_[i] *= fir_freq_[i];
}
} else {
// Default path: simple frequency-domain mask multiply.
for (size_t i = 0; i < nfft_; i++) {
buf_[i] *= mask_[i];
}
}
istftFrame(buf_, out + offset, overlap_.data());
}
}