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|
// Spectrogram Viewer
// Handles all visualization: spectrogram, partials, zoom, mouse interaction
class SpectrogramViewer {
constructor(canvas, audioBuffer, stftCache) {
this.canvas = canvas;
this.ctx = canvas.getContext('2d');
this.audioBuffer = audioBuffer;
this.stftCache = stftCache;
this.partials = [];
this.frames = [];
this.showPeaks = false;
// Fixed time bounds
this.t_min = 0;
this.t_max = audioBuffer.duration;
// View state (zoom and center)
this.zoom_factor = 1.0; // 1.0 = full view
this.t_center = audioBuffer.duration / 2;
// Computed view bounds (updated by updateViewBounds)
this.t_view_min = 0;
this.t_view_max = audioBuffer.duration;
// Fixed frequency bounds (log scale: freqStart must be > 0)
this.freqStart = 20;
this.freqEnd = 16000;
// Tooltip
this.tooltip = document.getElementById('tooltip');
// Partial keep count (Infinity = all kept)
this.keepCount = Infinity;
// Mouse cursor overlay
this.cursorCanvas = document.getElementById('cursorCanvas');
this.cursorCtx = this.cursorCanvas ? this.cursorCanvas.getContext('2d') : null;
this.mouseX = -1;
// Playhead
this.playheadTime = -1; // -1 = not playing
// Spectrum viewer
this.spectrumCanvas = document.getElementById('spectrumCanvas');
this.spectrumCtx = this.spectrumCanvas ? this.spectrumCanvas.getContext('2d') : null;
this.spectrumTime = 0; // Time to display spectrum for
this.showSynthFFT = false; // Toggle: false=original, true=synth
this.synthStftCache = null;
// Selection and editing
this.selectedPartial = -1;
this.dragState = null; // {pointIndex: 0-3}
this.onPartialSelect = null; // callback(index)
this.onRender = null; // callback() called after each render (for synced panels)
// Setup event handlers
this.setupMouseHandlers();
// Initial render
this.updateViewBounds();
this.render();
}
// --- Coordinate API ---
// time -> canvas X
timeToX(t) {
return (t - this.t_view_min) / (this.t_view_max - this.t_view_min) * this.canvas.width;
}
// canvas X -> time
canvasToTime(x) {
return this.t_view_min + (x / this.canvas.width) * (this.t_view_max - this.t_view_min);
}
// freq -> normalized log position [0..1] within [freqStart..freqEnd]
freqLogNorm(freq) {
const logMin = Math.log2(this.freqStart);
const logMax = Math.log2(this.freqEnd);
return (Math.log2(Math.max(freq, this.freqStart)) - logMin) / (logMax - logMin);
}
// normalized log position [0..1] -> freq
normToFreq(norm) {
const logMin = Math.log2(this.freqStart);
const logMax = Math.log2(this.freqEnd);
return Math.pow(2, logMin + norm * (logMax - logMin));
}
// freq -> canvas Y (log scale)
freqToY(freq) {
return this.canvas.height * (1 - this.freqLogNorm(freq));
}
// canvas Y -> freq (log scale)
canvasToFreq(y) {
return this.normToFreq(1 - y / this.canvas.height);
}
// DB value -> normalized intensity [0..1], relative to cache maxDB over 80dB range
normalizeDB(magDB, maxDB) {
return Math.max(0, Math.min(1, (magDB - (maxDB - 80)) / 80));
}
// Partial index -> display color
partialColor(p) {
const colors = [
'#f44', '#4f4', '#44f', '#ff4', '#f4f', '#4ff',
'#fa4', '#4fa', '#a4f', '#af4', '#f4a', '#4af'
];
return colors[p % colors.length];
}
// --- Public API ---
setPlayheadTime(time) {
this.playheadTime = time;
if (time >= 0) {
this.spectrumTime = time;
} else if (this.mouseX >= 0) {
this.spectrumTime = this.canvasToTime(this.mouseX);
}
this.render();
}
setPartials(partials) {
this.partials = partials;
this.render();
}
setKeepCount(n) {
this.keepCount = n;
this.render();
}
setFrames(frames) {
this.frames = frames;
}
setSynthStftCache(cache) {
this.synthStftCache = cache;
}
togglePeaks() {
this.showPeaks = !this.showPeaks;
this.render();
}
reset() {
this.zoom_factor = 1.0;
this.t_center = this.audioBuffer.duration / 2;
this.updateViewBounds();
this.render();
}
getIntensityAt(time, freq) {
if (!this.stftCache) return -80;
return this.stftCache.getMagnitudeDB(time, freq);
}
selectPartial(index) {
this.selectedPartial = index;
this.render();
if (this.onPartialSelect) this.onPartialSelect(index);
}
// Hit-test bezier curves: returns index of nearest partial within threshold
hitTestPartial(x, y) {
const THRESH = 10;
let bestIdx = -1, bestDist = THRESH;
for (let p = 0; p < this.partials.length; ++p) {
const curve = this.partials[p].freqCurve;
if (!curve) continue;
for (let i = 0; i <= 50; ++i) {
const t = curve.t0 + (curve.t3 - curve.t0) * i / 50;
if (t < this.t_view_min || t > this.t_view_max) continue;
const f = evalBezier(curve, t);
if (f < this.freqStart || f > this.freqEnd) continue;
const px = this.timeToX(t), py = this.freqToY(f);
const dist = Math.hypot(px - x, py - y);
if (dist < bestDist) { bestDist = dist; bestIdx = p; }
}
}
return bestIdx;
}
// Hit-test control points of a specific partial's freqCurve
hitTestControlPoint(x, y, partial) {
const curve = partial.freqCurve;
if (!curve) return -1;
const THRESH = 8;
for (let i = 0; i < 4; ++i) {
const t = curve['t' + i], v = curve['v' + i];
if (t < this.t_view_min || t > this.t_view_max) continue;
if (v < this.freqStart || v > this.freqEnd) continue;
const px = this.timeToX(t), py = this.freqToY(v);
if (Math.hypot(px - x, py - y) <= THRESH) return i;
}
return -1;
}
// --- Render ---
render() {
this.renderSpectrogram();
if (this.showPeaks) this.renderPeaks();
this.renderPartials();
this.drawAxes();
this.drawPlayhead();
this.renderSpectrum();
if (this.onRender) this.onRender();
}
renderPartials() {
for (let p = 0; p < this.partials.length; ++p) {
if (p === this.selectedPartial) continue; // draw selected last (on top)
this._renderPartial(p, this.partials[p], false);
}
if (this.selectedPartial >= 0 && this.selectedPartial < this.partials.length) {
this._renderPartial(this.selectedPartial, this.partials[this.selectedPartial], true);
}
this.ctx.globalAlpha = 1.0;
this.ctx.shadowBlur = 0;
}
_renderPartial(p, partial, isSelected) {
const {ctx} = this;
const color = this.partialColor(p);
let alpha = isSelected ? 1.0 : (p < this.keepCount ? 1.0 : 0.12);
if (partial.muted && !isSelected) alpha = 0.15;
ctx.globalAlpha = alpha;
// Raw trajectory
ctx.strokeStyle = color + '44';
ctx.lineWidth = 1;
ctx.beginPath();
let started = false;
for (let i = 0; i < partial.times.length; ++i) {
const t = partial.times[i];
const f = partial.freqs[i];
if (t < this.t_view_min || t > this.t_view_max) continue;
if (f < this.freqStart || f > this.freqEnd) continue;
const x = this.timeToX(t);
const y = this.freqToY(f);
if (!started) { ctx.moveTo(x, y); started = true; } else ctx.lineTo(x, y);
}
if (started) ctx.stroke();
// Spread band (selected only)
if (isSelected && partial.freqCurve) {
this._renderSpreadBand(partial, color);
}
// Bezier curve
if (partial.freqCurve) {
const curve = partial.freqCurve;
if (isSelected) { ctx.shadowColor = color; ctx.shadowBlur = 8; }
ctx.strokeStyle = color;
ctx.lineWidth = isSelected ? 3 : 2;
ctx.beginPath();
started = false;
for (let i = 0; i <= 50; ++i) {
const t = curve.t0 + (curve.t3 - curve.t0) * i / 50;
const freq = evalBezier(curve, t);
if (t < this.t_view_min || t > this.t_view_max) continue;
if (freq < this.freqStart || freq > this.freqEnd) continue;
const x = this.timeToX(t);
const y = this.freqToY(freq);
if (!started) { ctx.moveTo(x, y); started = true; } else ctx.lineTo(x, y);
}
if (started) ctx.stroke();
if (isSelected) ctx.shadowBlur = 0;
ctx.fillStyle = color;
const cpR = isSelected ? 6 : 4;
this.drawControlPoint(curve.t0, curve.v0, cpR);
this.drawControlPoint(curve.t1, curve.v1, cpR);
this.drawControlPoint(curve.t2, curve.v2, cpR);
this.drawControlPoint(curve.t3, curve.v3, cpR);
}
}
_renderSpreadBand(partial, color) {
const {ctx} = this;
const curve = partial.freqCurve;
const rep = partial.replicas || {};
const sa = rep.spread_above != null ? rep.spread_above : 0.02;
const sb = rep.spread_below != null ? rep.spread_below : 0.02;
const STEPS = 60;
const upper = [], lower = [];
for (let i = 0; i <= STEPS; ++i) {
const t = curve.t0 + (curve.t3 - curve.t0) * i / STEPS;
if (t < this.t_view_min - 0.01 || t > this.t_view_max + 0.01) continue;
const f = evalBezier(curve, t);
upper.push([this.timeToX(t), this.freqToY(f * (1 + sa))]);
lower.push([this.timeToX(t), this.freqToY(f * (1 - sb))]);
}
if (upper.length < 2) return;
const savedAlpha = ctx.globalAlpha;
// Outer soft fill
ctx.beginPath();
ctx.moveTo(upper[0][0], upper[0][1]);
for (let i = 1; i < upper.length; ++i) ctx.lineTo(upper[i][0], upper[i][1]);
for (let i = lower.length - 1; i >= 0; --i) ctx.lineTo(lower[i][0], lower[i][1]);
ctx.closePath();
ctx.fillStyle = color;
ctx.globalAlpha = 0.13;
ctx.fill();
// Dashed boundary lines
ctx.globalAlpha = 0.4;
ctx.strokeStyle = color;
ctx.lineWidth = 1;
ctx.setLineDash([3, 4]);
ctx.beginPath();
ctx.moveTo(upper[0][0], upper[0][1]);
for (let i = 1; i < upper.length; ++i) ctx.lineTo(upper[i][0], upper[i][1]);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(lower[0][0], lower[0][1]);
for (let i = 1; i < lower.length; ++i) ctx.lineTo(lower[i][0], lower[i][1]);
ctx.stroke();
ctx.setLineDash([]);
// 50% drop-off reference lines (dotted, dimmer)
const p5upper = [], p5lower = [];
for (let i = 0; i <= STEPS; ++i) {
const t = curve.t0 + (curve.t3 - curve.t0) * i / STEPS;
if (t < this.t_view_min - 0.01 || t > this.t_view_max + 0.01) continue;
const f = evalBezier(curve, t);
p5upper.push([this.timeToX(t), this.freqToY(f * 1.50)]);
p5lower.push([this.timeToX(t), this.freqToY(f * 0.50)]);
}
if (p5upper.length >= 2) {
ctx.globalAlpha = 0.55;
ctx.strokeStyle = color;
ctx.lineWidth = 1;
ctx.setLineDash([1, 5]);
ctx.beginPath();
ctx.moveTo(p5upper[0][0], p5upper[0][1]);
for (let i = 1; i < p5upper.length; ++i) ctx.lineTo(p5upper[i][0], p5upper[i][1]);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(p5lower[0][0], p5lower[0][1]);
for (let i = 1; i < p5lower.length; ++i) ctx.lineTo(p5lower[i][0], p5lower[i][1]);
ctx.stroke();
ctx.setLineDash([]);
}
ctx.globalAlpha = savedAlpha;
}
renderPeaks() {
const {ctx, frames} = this;
if (!frames || frames.length === 0) return;
ctx.fillStyle = '#fff';
for (const frame of frames) {
const t = frame.time;
if (t < this.t_view_min || t > this.t_view_max) continue;
const x = this.timeToX(t);
for (const peak of frame.peaks) {
if (peak.freq < this.freqStart || peak.freq > this.freqEnd) continue;
ctx.fillRect(x - 1, this.freqToY(peak.freq) - 1, 3, 3);
}
}
}
drawControlPoint(t, v, radius = 4) {
if (t < this.t_view_min || t > this.t_view_max) return;
if (v < this.freqStart || v > this.freqEnd) return;
const x = this.timeToX(t);
const y = this.freqToY(v);
this.ctx.beginPath();
this.ctx.arc(x, y, radius, 0, 2 * Math.PI);
this.ctx.fill();
this.ctx.strokeStyle = '#fff';
this.ctx.lineWidth = 1;
this.ctx.stroke();
}
drawMouseCursor(x) {
if (!this.cursorCtx) return;
const ctx = this.cursorCtx;
const h = this.cursorCanvas.height;
ctx.clearRect(0, 0, this.cursorCanvas.width, h);
if (x < 0) return;
ctx.strokeStyle = 'rgba(255, 60, 60, 0.7)';
ctx.lineWidth = 1;
ctx.beginPath();
ctx.moveTo(x, 0);
ctx.lineTo(x, h);
ctx.stroke();
}
drawPlayhead() {
if (this.playheadTime < 0) return;
if (this.playheadTime < this.t_view_min || this.playheadTime > this.t_view_max) return;
const {ctx, canvas} = this;
const x = this.timeToX(this.playheadTime);
ctx.strokeStyle = '#f00';
ctx.lineWidth = 2;
ctx.beginPath();
ctx.moveTo(x, 0);
ctx.lineTo(x, canvas.height);
ctx.stroke();
}
renderSpectrogram() {
const {canvas, ctx, stftCache} = this;
const width = canvas.width;
const height = canvas.height;
ctx.fillStyle = '#000';
ctx.fillRect(0, 0, width, height);
if (!stftCache) return;
const sampleRate = this.audioBuffer.sampleRate;
const hopSize = stftCache.hopSize;
const fftSize = stftCache.fftSize;
const frameDuration = hopSize / sampleRate;
const numFrames = stftCache.getNumFrames();
const startFrameIdx = Math.floor(this.t_view_min * sampleRate / hopSize);
const endFrameIdx = Math.ceil(this.t_view_max * sampleRate / hopSize);
for (let frameIdx = startFrameIdx; frameIdx < endFrameIdx; ++frameIdx) {
if (frameIdx < 0 || frameIdx >= numFrames) continue;
const frame = stftCache.getFrameAtIndex(frameIdx);
if (!frame) continue;
const squaredAmp = frame.squaredAmplitude;
const xStart = Math.floor(this.timeToX(frame.time));
const xEnd = Math.ceil(this.timeToX(frame.time + frameDuration));
const frameWidth = Math.max(1, xEnd - xStart);
const numBins = fftSize / 2;
const binFreqWidth = sampleRate / fftSize;
for (let bin = 0; bin < numBins; ++bin) {
const freq = bin * binFreqWidth;
const freqNext = (bin + 1) * binFreqWidth;
if (freqNext < this.freqStart || freq > this.freqEnd) continue;
const magDB = 10 * Math.log10(Math.max(squaredAmp[bin], 1e-20));
const intensity = Math.pow(this.normalizeDB(magDB, stftCache.maxDB), 2.0);
const y0 = Math.floor(this.freqToY(freqNext));
const y1 = Math.floor(this.freqToY(Math.max(freq, this.freqStart)));
const binHeight = Math.max(1, y1 - y0);
const v = Math.floor(intensity * 255);
ctx.fillStyle = `rgba(${v},${v},${v}, 0.5)`;
ctx.fillRect(xStart, y0, frameWidth, binHeight);
}
}
}
renderSpectrum() {
if (!this.spectrumCtx || !this.stftCache) return;
const useSynth = this.showSynthFFT && this.synthStftCache;
const cache = useSynth ? this.synthStftCache : this.stftCache;
const canvas = this.spectrumCanvas;
const ctx = this.spectrumCtx;
const width = canvas.width;
const height = canvas.height;
ctx.fillStyle = '#1e1e1e';
ctx.fillRect(0, 0, width, height);
const squaredAmp = cache.getSquaredAmplitude(this.spectrumTime);
if (!squaredAmp) return;
const numBins = cache.fftSize / 2;
const binWidth = cache.sampleRate / cache.fftSize;
// freq -> mini-spectrum X using same log scale as main view
const freqToX = (freq) => this.freqLogNorm(freq) * width;
// Draw histogram bars — one per pixel column
for (let px = 0; px < width; ++px) {
const fStart = this.normToFreq(px / width);
const fEnd = this.normToFreq((px + 1) / width);
const bStart = Math.max(0, Math.floor(fStart / binWidth));
const bEnd = Math.min(numBins - 1, Math.ceil(fEnd / binWidth));
let maxSq = 0;
for (let b = bStart; b <= bEnd; ++b) { if (squaredAmp[b] > maxSq) maxSq = squaredAmp[b]; }
if (bStart > bEnd) continue;
const magDB = 10 * Math.log10(Math.max(maxSq, 1e-20));
const barHeight = Math.round(this.normalizeDB(magDB, cache.maxDB) * height);
if (barHeight === 0) continue;
const gradient = ctx.createLinearGradient(0, height - barHeight, 0, height);
if (useSynth) {
gradient.addColorStop(0, '#4f8'); gradient.addColorStop(1, '#af4');
} else {
gradient.addColorStop(0, '#4af'); gradient.addColorStop(1, '#fa4');
}
ctx.fillStyle = gradient;
ctx.fillRect(px, height - barHeight, 1, barHeight);
}
// Overlay extracted peaks (green)
if (this.frames && this.frames.length > 0) {
let bestFrame = this.frames[0];
let bestDt = Math.abs(bestFrame.time - this.spectrumTime);
for (const f of this.frames) {
const dt = Math.abs(f.time - this.spectrumTime);
if (dt < bestDt) { bestDt = dt; bestFrame = f; }
}
ctx.fillStyle = '#4f4';
for (const peak of bestFrame.peaks) {
if (peak.freq < this.freqStart || peak.freq > this.freqEnd) continue;
const x0 = Math.floor(freqToX(peak.freq));
const x1 = Math.max(x0 + 1, Math.floor(freqToX(this.normToFreq(this.freqLogNorm(peak.freq) + 1 / width))));
ctx.fillRect(x0, 0, x1 - x0, height);
}
}
// Overlay partial f0 markers (red, 2px)
ctx.strokeStyle = '#f44';
ctx.lineWidth = 2;
for (let p = 0; p < this.partials.length && p < this.keepCount; ++p) {
const curve = this.partials[p].freqCurve;
if (!curve || this.spectrumTime < curve.t0 || this.spectrumTime > curve.t3) continue;
const freq = evalBezier(curve, this.spectrumTime);
if (freq < this.freqStart || freq > this.freqEnd) continue;
const x = Math.round(freqToX(freq));
ctx.beginPath(); ctx.moveTo(x, 0); ctx.lineTo(x, height); ctx.stroke();
}
// Label
ctx.fillStyle = useSynth ? '#4f8' : '#4af';
ctx.font = '9px monospace';
ctx.fillText(useSynth ? 'SYNTH [a]' : 'ORIG [a]', 4, 10);
}
// --- View management ---
updateViewBounds() {
const full_duration = this.t_max - this.t_min;
const view_duration = full_duration / this.zoom_factor;
let t_view_min = this.t_center - view_duration / 2;
let t_view_max = this.t_center + view_duration / 2;
if (t_view_min < this.t_min) { t_view_min = this.t_min; t_view_max = this.t_min + view_duration; }
if (t_view_max > this.t_max) { t_view_max = this.t_max; t_view_min = this.t_max - view_duration; }
if (t_view_min < this.t_min) t_view_min = this.t_min;
if (t_view_max > this.t_max) t_view_max = this.t_max;
this.t_view_min = t_view_min;
this.t_view_max = t_view_max;
const actual_duration = this.t_view_max - this.t_view_min;
this.zoom_factor = full_duration / actual_duration;
this.t_center = (this.t_view_min + this.t_view_max) / 2;
}
setupMouseHandlers() {
const {canvas, tooltip} = this;
canvas.addEventListener('mousedown', (e) => {
const rect = canvas.getBoundingClientRect();
const x = e.clientX - rect.left;
const y = e.clientY - rect.top;
// Check control point drag on selected partial
if (this.selectedPartial >= 0 && this.selectedPartial < this.partials.length) {
const ptIdx = this.hitTestControlPoint(x, y, this.partials[this.selectedPartial]);
if (ptIdx >= 0) {
this.dragState = { pointIndex: ptIdx };
canvas.style.cursor = 'grabbing';
e.preventDefault();
return;
}
}
// Otherwise: select partial by click
const idx = this.hitTestPartial(x, y);
this.selectPartial(idx);
});
canvas.addEventListener('mousemove', (e) => {
const rect = canvas.getBoundingClientRect();
const x = e.clientX - rect.left;
const y = e.clientY - rect.top;
if (this.dragState) {
const t = Math.max(0, Math.min(this.t_max, this.canvasToTime(x)));
const v = Math.max(this.freqStart, Math.min(this.freqEnd, this.canvasToFreq(y)));
const partial = this.partials[this.selectedPartial];
const i = this.dragState.pointIndex;
partial.freqCurve['t' + i] = t;
partial.freqCurve['v' + i] = v;
this.render();
e.preventDefault();
return;
}
this.mouseX = x;
this.drawMouseCursor(x);
const time = this.canvasToTime(x);
const freq = this.canvasToFreq(y);
const intensity = this.getIntensityAt(time, freq);
if (this.playheadTime < 0) {
this.spectrumTime = time;
this.renderSpectrum();
}
// Cursor hint for control points
if (this.selectedPartial >= 0 && this.selectedPartial < this.partials.length) {
const ptIdx = this.hitTestControlPoint(x, y, this.partials[this.selectedPartial]);
canvas.style.cursor = ptIdx >= 0 ? 'grab' : 'crosshair';
} else {
canvas.style.cursor = 'crosshair';
}
tooltip.style.left = (e.clientX + 10) + 'px';
tooltip.style.top = (e.clientY + 10) + 'px';
tooltip.style.display = 'block';
tooltip.textContent = `${time.toFixed(3)}s, ${freq.toFixed(1)}Hz, ${intensity.toFixed(1)}dB`;
});
canvas.addEventListener('mouseleave', () => {
this.mouseX = -1;
this.drawMouseCursor(-1);
tooltip.style.display = 'none';
});
canvas.addEventListener('mouseup', () => {
if (this.dragState) {
this.dragState = null;
canvas.style.cursor = 'crosshair';
if (this.onPartialSelect) this.onPartialSelect(this.selectedPartial);
}
});
canvas.addEventListener('wheel', (e) => {
e.preventDefault();
const delta = e.deltaY !== 0 ? e.deltaY : e.deltaX;
if (e.shiftKey) {
const rect = canvas.getBoundingClientRect();
const mouseTime = this.canvasToTime(e.clientX - rect.left);
const zoomDelta = delta > 0 ? 1.2 : 1 / 1.2;
const newZoom = this.zoom_factor * zoomDelta;
if (newZoom < 1.0) {
this.zoom_factor = 1.0;
this.t_center = (this.t_max + this.t_min) / 2;
} else {
this.zoom_factor = newZoom;
const newDuration = (this.t_max - this.t_min) / this.zoom_factor;
const mouseRatio = (mouseTime - this.t_view_min) / (this.t_view_max - this.t_view_min);
this.t_center = mouseTime - newDuration * (mouseRatio - 0.5);
}
} else {
const timeDuration = this.t_view_max - this.t_view_min;
this.t_center += (delta / 100) * timeDuration * 0.1;
}
this.updateViewBounds();
this.render();
});
}
// --- Utilities ---
getAxisStep(range) {
const steps = [0.01, 0.02, 0.05, 0.1, 0.2, 0.5, 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, 2000, 5000];
const targetStep = range / 8;
for (const step of steps) { if (step >= targetStep) return step; }
return steps[steps.length - 1];
}
drawAxes() {
const {ctx, canvas} = this;
const width = canvas.width;
const height = canvas.height;
ctx.strokeStyle = '#666';
ctx.fillStyle = '#aaa';
ctx.font = '11px monospace';
ctx.lineWidth = 1;
// Time axis
const timeDuration = this.t_view_max - this.t_view_min;
const timeStep = this.getAxisStep(timeDuration);
let t = Math.ceil(this.t_view_min / timeStep) * timeStep;
while (t <= this.t_view_max) {
const x = this.timeToX(t);
ctx.beginPath(); ctx.moveTo(x, 0); ctx.lineTo(x, height); ctx.stroke();
ctx.fillText(t.toFixed(2) + 's', x + 2, height - 4);
t += timeStep;
}
// Frequency axis (log-spaced ticks)
for (const f of [20, 50, 100, 200, 500, 1000, 2000, 5000, 10000, 16000]) {
if (f < this.freqStart || f > this.freqEnd) continue;
const y = this.freqToY(f);
ctx.beginPath(); ctx.moveTo(0, y); ctx.lineTo(width, y); ctx.stroke();
ctx.fillText((f >= 1000 ? (f/1000).toFixed(0) + 'k' : f.toFixed(0)) + 'Hz', 2, y - 2);
}
}
}
// Bezier evaluation (shared utility)
function evalBezier(curve, t) {
let u = (t - curve.t0) / (curve.t3 - curve.t0);
u = Math.max(0, Math.min(1, u));
const u1 = 1 - u;
return u1*u1*u1 * curve.v0 +
3*u1*u1*u * curve.v1 +
3*u1*u*u * curve.v2 +
u*u*u * curve.v3;
}
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