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utils.js
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import { FFT } from 'https://soundshader.github.io/webfft.js';
export const $ = (selector) => document.querySelector(selector);
export const log = (...args) => console.log(args.join(' '));
export const sleep = (ms) => new Promise(resolve => setTimeout(resolve, ms));
export const mix = (a, b, x) => a * (1 - x) + b * x;
export const step = (min, x) => x < min ? 0 : 1;
export const clamp = (x, min = 0, max = 1) => Math.max(Math.min(x, max), min);
export const hann = (x) => x > 0 && x < 1 ? Math.sin(Math.PI * x) ** 2 : 0;
export const fract = (x) => x - Math.floor(x);
export const reim2 = (re, im) => re * re + im * im;
export const dcheck = (x) => { if (x) return; debugger; throw new Error('dcheck failed'); }
const is_spectrogram = (s) => s.rank == 3 && s.dimensions[2] == 2;
export class Float32Tensor {
constructor(dims, array) {
let size = dims.reduce((p, d) => p * d, 1);
dcheck(!array || array.length == size);
// ds[i] = dims[i + 1] * dims[i + 2] * ...
let dim = dims, ds = dim.slice(), n = ds.length;
ds[n - 1] = 1;
for (let i = n - 2; i >= 0; i--)
ds[i] = ds[i + 1] * dim[i + 1];
this.array = array || new Float32Array(size);
this.rank = dims.length;
this.dimensions = dims;
this.dimension_size = ds;
}
slice(begin, end) {
dcheck(begin >= 0 && begin < end && end <= this.dimensions[0]);
let size = this.dimension_size[0];
let dims = this.dimensions.slice(1);
let data = this.array.subarray(begin * size, end * size);
return new Float32Tensor([end - begin, ...dims], data);
}
subtensor(index) {
let t = this.slice(index, index + 1);
let d = t.dimensions;
dcheck(d[0] == 1);
return new Float32Tensor(d.slice(1), t.array);
}
clone() {
return new Float32Tensor(this.dimensions.slice(), this.array.slice(0));
}
}
export function sumTensors(...tensors) {
let res = tensors[0].clone();
for (let t = 1; t < tensors.length; t++) {
let src = tensors[0];
dcheck(src instanceof Float32Tensor);
dcheck(src.array.length == res.array.length);
for (let i = 0; i < src.array.length; i++)
res.array[i] += src.array[i];
}
return res;
}
export function computeFFT(src, res) {
return FFT.forward(src, res);
}
export function forwardFFT(signal_re) {
let n = signal_re.length;
let res2 = forwardReFFT(signal_re);
return new Float32Tensor([n, 2], res2);
}
export function inverseFFT(frame) {
dcheck(frame.rank == 2 && frame.dimensions[1] == 2);
let n = frame.dimensions[0];
let sig2 = new Float32Array(n * 2);
FFT.inverse(frame.array, sig2);
return FFT.re(sig2);
}
// Input: Float32Tensor, H x W x 2
// Output: Float32Tensor, H x W x 2
export function computeFFT2D(input) {
let [h, w, rsn] = input.dimensions;
dcheck(input.rank == 3 && rsn == 2);
let output = new Float32Tensor([h, w, 2]);
let row = new Float32Array(w * 2);
let col = new Float32Array(h * 2);
let tmp = new Float32Array(h * 2);
// row-by-row fft
for (let y = 0; y < h; y++) {
let sig = input.subtensor(y).array;
FFT.forward(sig, row);
output.subtensor(y).array.set(row);
}
// col-by-col fft
for (let x = 0; x < w; x++) {
for (let y = 0; y < h; y++) {
let p = y * w + x;
col[y * 2 + 0] = output.array[p * 2 + 0];
col[y * 2 + 1] = output.array[p * 2 + 1];
}
FFT.forward(col, tmp);
for (let y = 0; y < h; y++) {
let p = y * w + x;
output.array[p * 2 + 0] = tmp[y * 2 + 0];
output.array[p * 2 + 1] = tmp[y * 2 + 1];
}
}
return output;
}
// http://www.robinscheibler.org/2013/02/13/real-fft.html
// x -> Z -> (Xe, Xo) -> X
export function forwardReFFT(x, X, [Xe, Xo] = []) {
let n = x.length;
X = X || new Float32Array(2 * n);
Xe = Xe || new Float32Array(n);
Xo = Xo || new Float32Array(n);
let Z = X.subarray(0, n);
dcheck(X.length == 2 * n);
dcheck(Z.length == n);
dcheck(Xe.length == n);
dcheck(Xo.length == n);
FFT.forward(x, Z);
splitDFTs(Xe, Xo, Z);
mergeDFTs(Xe, Xo, X);
return X;
}
// Z -> X + iY
function splitDFTs(X, Y, Z) {
let n = X.length / 2;
dcheck(Y.length == 2 * n);
dcheck(Z.length == 2 * n);
for (let k = 0; k < n; k++) {
let k1 = k, k2 = (-k + n) % n;
let re1 = Z[2 * k1 + 0];
let im1 = Z[2 * k1 + 1];
let re2 = Z[2 * k2 + 0];
let im2 = Z[2 * k2 + 1];
X[2 * k + 0] = (re1 + re2) / 2;
X[2 * k + 1] = (im1 - im2) / 2;
Y[2 * k + 0] = (im1 + im2) / 2;
Y[2 * k + 1] = (re2 - re1) / 2;
}
}
// (Xe, Xo) -> X
function mergeDFTs(Xe, Xo, X) {
let n = Xe.length;
let uroots = FFT.get(n).uroots;
dcheck(Xo.length == n);
dcheck(X.length == 2 * n);
for (let k = 0; k < n; k++) {
let k1 = k % (n / 2);
let k2 = (n - k) % n;
let re1 = Xe[2 * k1 + 0];
let im1 = Xe[2 * k1 + 1];
let re2 = Xo[2 * k1 + 0];
let im2 = Xo[2 * k1 + 1];
let cos = uroots[k2 * 2 + 0];
let sin = uroots[k2 * 2 + 1];
// (re1, im1) + (re2, im2) * (cos, sin)
X[2 * k + 0] = re1 + re2 * cos - im2 * sin;
X[2 * k + 1] = im1 + re2 * sin + im2 * cos;
}
}
export function applyBandpassFilter(signal, filter_fn) {
let n = signal.length;
let fft = forwardFFT(signal);
for (let i = 0; i < n; i++) {
let f = Math.min(i, n - i);
let s = filter_fn(f);
fft.array[2 * i + 0] *= s;
fft.array[2 * i + 1] *= s;
}
return inverseFFT(fft);
}
export function drawSpectrogram(canvas, spectrogram, {
db_log = s => s, rgb_fn = s => [s * 9, s * 3, s], sqrabs_max = 0,
reim_fn = reim2, fs_full = false, clear = true } = {}) {
let h = canvas.height;
let w = canvas.width;
let ctx = canvas.getContext('2d');
let img = ctx.getImageData(0, 0, w, h);
sqrabs_max = sqrabs_max || getSpectrogramMax(spectrogram, reim_fn);
let rgb_reim = (re, im) => rgb_fn(db_log(reim_fn(re, im) / sqrabs_max));
let num_frames = spectrogram.dimensions[0];
if (clear) img.data.fill(0);
for (let x = 0; x < w; x++) {
let frame = spectrogram.subtensor(x / w * num_frames | 0);
drawSpectrogramFrame(img, frame, x, rgb_reim, fs_full);
}
ctx.putImageData(img, 0, 0);
}
export function getMaskedSpectrogram(spectrogram1, mask_fn) {
dcheck(is_spectrogram(spectrogram1));
let dims = spectrogram1.dimensions.slice(0);
let [t_size, f_size] = dims;
let data = new Float32Array(t_size * f_size * 2);
let spectrogram2 = new Float32Tensor(dims, data);
for (let t = 0; t < t_size; t++) {
let frame1 = spectrogram1.subtensor(t).array;
let frame2 = spectrogram2.subtensor(t).array;
for (let f = 0; f < f_size; f++) {
let m = mask_fn(t, f);
frame2[2 * f + 0] = m * frame1[2 * f + 0];
frame2[2 * f + 1] = m * frame1[2 * f + 1];
}
}
return spectrogram2;
}
export function getSpectrogramMax(sg, fn = reim2) {
return getFrameMax(sg.array, fn);
}
export function getFrameMax(data, reim_fn = reim2) {
return aggFrameData(data, reim_fn, Math.max, 0);
}
export function getFrameSum(data) {
return aggFrameData(data, reim2, (sum, sqr) => sum + sqr, 0);
}
function aggFrameData(data, fn, reduce, initial = 0) {
let max = initial;
for (let i = 0; i < data.length / 2; i++) {
let re = data[i * 2];
let im = data[i * 2 + 1];
max = reduce(max, fn(re, im));
}
return max;
}
function drawSpectrogramFrame(img, frame, x, rgb_fn, fs_full) {
let frame_size = frame.dimensions[0];
let w = img.width;
let h = img.height;
for (let y = 0; y < h; y++) {
let f = (h - 1 - y) / h * frame_size / (fs_full ? 1 : 2) | 0;
let re = frame.array[f * 2];
let im = frame.array[f * 2 + 1];
let rgb = rgb_fn(re, im);
let i = (x + y * w) * 4;
img.data[i + 0] += 255 * rgb[0];
img.data[i + 1] += 255 * rgb[1];
img.data[i + 2] += 255 * rgb[2];
img.data[i + 3] += 255;
}
}
// Returns a Float32Tensor: num_frames x frame_size x 2.
export function computeSpectrogram(signal, { num_frames, frame_size, min_frame, max_frame }) {
let sig1 = new Float32Array(frame_size);
let tmp1 = new Float32Array(frame_size);
let tmp2 = new Float32Array(frame_size);
min_frame = min_frame || 0;
max_frame = max_frame || num_frames - 1;
let frames = new Float32Tensor([max_frame - min_frame + 1, frame_size, 2]); // (re, im)
for (let t = min_frame; t <= max_frame; t++) {
let res1 = frames.subtensor(t - min_frame).array;
readAudioFrame(signal, sig1, num_frames, t);
forwardReFFT(sig1, res1, [tmp1, tmp2]);
}
return frames;
}
// Pads the input signal with zeros for smoothness.
export async function computePaddedSpectrogram(signal, { num_frames, frame_size }) {
dcheck(frame_size % 2 == 0);
let padded = new Float32Array(signal.length + frame_size * 2);
padded.set(signal, (padded.length - signal.length) / 2);
let frame_step = signal.length / num_frames;
let padded_frames = padded.length / frame_step | 0;
let spectrogram = computeSpectrogram(padded, { num_frames: padded_frames, frame_size });
let null_frames = (padded_frames - num_frames) / 2 | 0;
return spectrogram.slice(null_frames, null_frames + num_frames);
}
export function getAvgSpectrum(spectrogram) {
dcheck(is_spectrogram(spectrogram));
let [num_frames, frame_size] = spectrogram.dimensions;
let spectrum = new Float32Array(frame_size);
for (let t = 0; t < num_frames; t++) {
let frame = spectrogram.subtensor(t).array;
for (let f = 0; f < frame_size; f++)
spectrum[f] += reim2(frame[2 * f], frame[2 * f + 1]) / num_frames;
}
return spectrum;
}
export function getVolumeTimeline(spectrogram) {
dcheck(is_spectrogram(spectrogram));
let [num_frames, frame_size] = spectrogram.dimensions;
let timeline = new Float32Array(num_frames);
for (let t = 0; t < num_frames; t++) {
let frame = spectrogram.subtensor(t).array;
timeline[t] = getFrameSum(frame) / frame_size;
}
return timeline;
}
export function getAmpDensity(spectrogram, num_bins = 1024, amp2_map = Math.sqrt) {
dcheck(is_spectrogram(spectrogram));
let density = new Float32Array(num_bins);
let abs2_max = getFrameMax(spectrogram.array);
aggFrameData(spectrogram.array, reim2, (_, abs2) => {
let i = amp2_map(abs2 / abs2_max) * num_bins | 0;
density[i] += 2 / spectrogram.array.length;
});
return density;
}
// frame_size = fft_bins * 2
export function readAudioFrame(signal, frame, num_frames, frame_id, t_step = 1) {
let len = frame.length;
let n = signal.length;
let step = signal.length / num_frames;
let base = frame_id * step | 0;
let len0 = Math.min(len, (n - 1 - base) / t_step | 0);
// frame.set(
// signal.subarray(
// clamp(t, 0, n - 1),
// clamp(t + len, 0, n - 1)));
//
// for (let i = 0; i < len; i++)
// frame[i] *= hann(i / len);
frame.fill(0);
for (let i = 0; i < len0; i++) {
let h = hann(i / len);
let k = base + t_step * i | 0;
let s = k < n ? signal[k] : 0;
let j = (i + base) % len;
frame[j] = h * s;
}
return frame;
}
// Returns null if no file was selected.
export async function selectAudioFile(multiple = false) {
let input = document.createElement('input');
input.type = 'file';
input.accept = 'audio/*';
input.multiple = multiple;
input.click();
return await new Promise(resolve =>
input.onchange = () => resolve(multiple ? input.files : input.files[0]));
}
// Returns a Float32Array.
export async function decodeAudioFile(file, sample_rate) {
let encoded_data = await file.arrayBuffer();
let audio_ctx = new AudioContext({ sampleRate: sample_rate });
try {
let audio_buffer = await audio_ctx.decodeAudioData(encoded_data);
let channel_data = audio_buffer.getChannelData(0);
return channel_data;
} finally {
audio_ctx.close();
}
}
export async function playSound(sound_data, sample_rate) {
let audio_ctx = new AudioContext({ sampleRate: sample_rate });
try {
let buffer = audio_ctx.createBuffer(1, sound_data.length, sample_rate);
buffer.getChannelData(0).set(sound_data);
let source = audio_ctx.createBufferSource();
source.buffer = buffer;
source.connect(audio_ctx.destination);
source.start();
await new Promise(resolve => source.onended = resolve);
} finally {
audio_ctx.close();
}
}
export async function recordAudio(sample_rate = 48000, max_duration = 1.0) {
let stream = await navigator.mediaDevices.getUserMedia({ audio: true, sampleRate: sample_rate });
try {
let recorder = new AudioRecorder(stream, sample_rate);
await recorder.start();
await sleep(max_duration * 1000);
let blob = await recorder.fetch();
await recorder.stop();
return blob;
} finally {
stream.getTracks().map(t => t.stop());
}
}
export class AudioRecorder {
constructor(stream, sample_rate) {
this.stream = stream;
this.sample_rate = sample_rate;
this.onaudiodata = null;
this.audio_blob = null;
this.audio_ctx = null;
this.worklet = null;
this.mss = null;
this.stream_ended = null;
}
async start() {
try {
await this.init();
} catch (err) {
this.close();
throw err;
}
let stream = this.stream;
if (!stream.active)
throw new Error('Stream is not active: ' + stream.id);
this.stream_ended = new Promise((resolve) => {
if ('oninactive' in stream) {
console.debug('Watching for stream.oninactive');
stream.addEventListener('inactive', resolve);
} else {
console.debug('Started a timer waiting for !stream.active');
let timer = setInterval(() => {
if (!stream.active) {
resolve();
clearInterval(timer);
console.debug('Stopped the !stream.active timer');
}
}, 25);
}
});
this.stream_ended.then(async () => {
console.debug('Audio stream ended');
this.stop();
});
}
async stop() {
await this.fetch();
this.close();
}
async init() {
log('Initializing the mic recorder @', this.sample_rate, 'Hz');
this.audio_ctx = new AudioContext({ sampleRate: this.sample_rate });
await this.audio_ctx.audioWorklet.addModule('/mic-rec.js');
this.worklet = new AudioWorkletNode(this.audio_ctx, 'mic-rec');
// this.worklet.onprocessorerror = (e) => console.error('mic-rec worklet:', e);
this.mss = this.audio_ctx.createMediaStreamSource(this.stream);
this.mss.connect(this.worklet);
await this.audio_ctx.resume();
}
async fetch() {
if (!this.worklet) return;
log('Fetching audio data from the worklet');
this.worklet.port.postMessage('foo');
let { channels } = await new Promise((resolve) =>
this.worklet.port.onmessage = (e) => resolve(e.data));
dcheck(channels.length > 0);
let blob = new Blob(channels[0]);
let data = await blob.arrayBuffer();
dcheck(data.byteLength % 4 == 0);
let wave = new Float32Array(data);
log('Recorded audio:', (wave.length / this.sample_rate).toFixed(2), 'sec');
let wav_buffer = generateWavFile(wave, this.sample_rate);
this.audio_blob = new Blob([wav_buffer], { type: 'audio/wav' });
this.onaudiodata?.(this.audio_blob);
return this.audio_blob;
}
close() {
this.mss?.disconnect();
this.worklet?.disconnect();
this.audio_ctx?.close();
this.mss = null;
this.worklet = null;
this.audio_ctx = null;
}
}
// https://docs.fileformat.com/audio/wav
export function generateWavFile(wave, sample_rate) {
let len = wave.length;
let i16 = new Int16Array(22 + len + len % 2);
let i32 = new Int32Array(i16.buffer);
i16.set([
0x4952, 0x4646, 0x0000, 0x0000, 0x4157, 0x4556, 0x6d66, 0x2074,
0x0010, 0x0000, 0x0001, 0x0001, 0x0000, 0x0000, 0x0000, 0x0000,
0x0002, 0x0010, 0x6164, 0x6174, 0x0000, 0x0000]);
i32[1] = i32.length * 4; // file size
i32[6] = sample_rate;
i32[7] = sample_rate * 2; // bytes per second
i32[10] = len * 2; // data size
for (let i = 0; i < len; i++)
i16[22 + i] = wave[i] * 0x7FFF;
return i16.buffer;
}
class FFTWorker {
static workers = [];
static requests = {};
static handlers = {};
static get(worker_id) {
let worker = FFTWorker.workers[worker_id] || new FFTWorker(worker_id);
return FFTWorker.workers[worker_id] = worker;
}
constructor(id) {
this.id = id;
this.worker = new Worker('/utils.js', { type: 'module' });
this.worker.onmessage = (e) => {
let { txid, res, err } = e.data;
// this.dlog('received a message:', txid, { res, err });
let promise = FFTWorker.requests[txid];
dcheck(promise);
delete FFTWorker.requests[txid];
err ? promise.reject(err) : promise.resolve(res);
};
this.dlog('started');
}
terminate() {
this.worker.terminate();
delete FFTWorker.workers[this.id];
this.dlog('terminated');
}
sendRequest(req, transfer = []) {
dcheck(req && req.call && req.args);
dcheck(Array.isArray(transfer));
let txid = Date.now() + '.' + (Math.random() * 1e6).toFixed(0);
let message = { req, txid };
this.worker.postMessage(message, transfer);
// this.dlog('was sent a message:', txid, req);
return new Promise((resolve, reject) => {
FFTWorker.requests[txid] = { resolve, reject };
});
}
dlog(...args) {
console.info('fftw.' + this.id, ...args);
}
}
if (typeof window === 'undefined') {
console.debug('Registering a Worker onmessage handler');
onmessage = (e) => {
let { txid, req } = e.data;
// console.debug('Routing a worker request:', txid, req);
dcheck(txid && req && req.call && req.args);
let handler = FFTWorker.handlers[req.call];
dcheck(handler);
try {
let { res, transfer } = handler(...req.args);
dcheck(Array.isArray(transfer));
let message = { txid, res };
// console.debug('Posting a worker message:', message);
postMessage(message, transfer);
} catch (err) {
let message = { txid, err };
postMessage(message);
}
};
}
FFTWorker.handlers['spectrogram'] = (signal, config) => {
console.debug('"spectrogram" handler invoked:', config);
let frames = computeSpectrogram(signal, config);
let dims = frames.dimensions;
let data = frames.array;
return { res: { dims, data }, transfer: [data.buffer] };
};
async function computeSpectrogramAsync(worker_id, signal, config) {
let worker = FFTWorker.get(worker_id);
let req = { call: 'spectrogram', args: [signal, config] };
let { dims, data } = await worker.sendRequest(req, [signal.buffer]);
return new Float32Tensor(dims, data);
}
export function shiftCanvasData(canvas, { dx = 0, dy = 0 }) {
let ctx = canvas.getContext('2d');
let img = ctx.getImageData(0, 0, canvas.width, canvas.height);
ctx.putImageData(img, -dx, -dy);
ctx.putImageData(img, +dx, +dy);
}