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draw.js
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draw.js
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import { Log, Point, getInputJSON, param } from "./utils.js";
import { Fourier } from "./fourier.js";
// colors
const WHITE_COL = 255;
const BLACK_COL = 0;
const DIMBLACK_COL = 100;
const GREY_COL = 100;
const DIMGREY_COL = 150;
const DIMDIMGREY_COL = 230;
const BG_COL = WHITE_COL; // TODO use less bright col: e.g. light yellow
const LINE_COL = DIMBLACK_COL;
const ARROW_COL = DIMGREY_COL;
const EPICYC_COL = DIMDIMGREY_COL;
const TEXT_COL = GREY_COL;
// dims and co-ords
let CANVAS_H;
let CANVAS_W;
let CENTER_X;
let CENTER_Y;
let CANVAS_PAD;
const TEXT_SIZE = 13;
const TEXT_PAD = 10;
// animation settings
const FRAME_RATE = 30; // TODO drawing towards end seems laggy on mobile
let SLOWNESS_FAC = 175;
const ZOOM_SCALE_MAX = 6000;
const ZOOM_SCALE_INC = 100;
let ZOOM_FAC = 100;
// metadata
const Z_KEY = 90;
const H_KEY = 72;
const S_KEY = 83;
let IS_MOBILE = false;
// inputs
let HALF_N_FREQ;
// state
let drawn = [];
let frequencies;
let zoomOn = false;
let stopDrawing = false;
let drawingDone = false;
let currentScale = 1;
let totalTicks;
export default new p5((p) => {
// helpers
const h = {};
// load stuff before anything is drawn. runs once before setup().
p.preload = async () => {};
// setup event handlers
p.keyPressed = () => {
// toggle zoom.
if (p.keyCode == Z_KEY) {
h.toggleZoom();
}
// toggle drawing animation.
if (p.keyCode == S_KEY) {
stopDrawing = !stopDrawing;
Log.i(`stopDrawing is ${stopDrawing ? "on" : "off"}`);
}
};
// Tap to zoom/redraw for mobile screen.
// Click to zoom/redraw for desktop screen.
p.touchStarted = () => {
if (!drawingDone) {
h.toggleZoom();
} else {
h.resetDrawing();
}
return false; // avoid default browser behavior.
};
// setup drawing area before drawing can begin. runs once.
p.setup = () => {
const setupDims = () => {
IS_MOBILE = p.windowWidth < 600;
CANVAS_PAD = IS_MOBILE ? 0 : 50;
[CANVAS_H, CANVAS_W] = [p.windowHeight, p.windowWidth];
[CENTER_X, CENTER_Y] = [CANVAS_W / 2, CANVAS_H / 2];
};
// Pre-req for computeFourier
SLOWNESS_FAC /= Math.min(5, Math.max(1, parseInt(param("speed", () => 1))));
const computeFourier = () => {
[HALF_N_FREQ, frequencies] = Fourier.decode(
getInputJSON(),
CANVAS_W - 2 * CANVAS_PAD,
CANVAS_H - 2 * CANVAS_PAD
);
// Append initial drawEnd.
drawn.push(Fourier.initialEnd(frequencies));
totalTicks = Fourier.countTicks(
Fourier.cloneFreqMap(frequencies),
h.angleIncFrac(),
HALF_N_FREQ
);
Log.i("total frequencies", 1 + 2 * HALF_N_FREQ);
Log.i("total ticks", totalTicks);
};
setupDims();
computeFourier();
p.frameRate(FRAME_RATE);
// Setup canvas
const canvas = p.createCanvas(
CANVAS_W,
CANVAS_H,
document.getElementById("draw-area")
);
};
// drawing loop
p.draw = () => {
p.background(BG_COL);
let drawEnd = drawn[drawn.length - 1];
if (!stopDrawing && !drawingDone) {
h.advanceTime(frequencies);
drawEnd = h.getDrawEnd(frequencies);
drawn.push(drawEnd);
}
h.updateScale();
const { centerX, centerY } = h.getScaledOrigin(
drawEnd.re + CENTER_X,
drawEnd.im + CENTER_Y,
currentScale
);
// TODO fix messy translates which are confusing all over. Make
// all rendering functions pure using centerX/Y args.
p.translate(centerX, centerY);
p.scale(currentScale);
h.showPctAndCtrls(centerX, centerY);
if (!drawingDone) {
h.animateDrawing(stopDrawing);
if (drawn.length > totalTicks) {
h.toggleZoom(false);
drawingDone = true;
Log.i("Finished all ticks, stopped drawing.");
}
}
h.drawDrawn();
};
h.resetDrawing = () => {
drawn = [Fourier.initialEnd(frequencies)];
drawingDone = false;
};
h.updateScale = () => {
ZOOM_FAC += zoomOn ? ZOOM_SCALE_INC : -2 * ZOOM_SCALE_INC;
ZOOM_FAC = Math.max(100, Math.min(ZOOM_FAC, ZOOM_SCALE_MAX));
currentScale = ZOOM_FAC / 100;
};
// Affine transformation: scaled zoom at a specified centerX/Y.
// Source: https://stackoverflow.com/a/70888506
h.getScaledOrigin = (centerX, centerY, newScale) => {
// the center position relative to the scaled/shifted scene
let viewCenterPos = {
x: centerX - CENTER_X,
y: centerY - CENTER_Y,
};
const currentScale = 1; // always scale w.r.t most zoomed out scale.
// determine the new origin
let originShift = {
x: (viewCenterPos.x / currentScale) * (newScale - currentScale),
y: (viewCenterPos.y / currentScale) * (newScale - currentScale),
};
return {
centerX: CENTER_X - originShift.x,
centerY: CENTER_Y - originShift.y,
};
};
h.getDrawEnd = (frequencies) => {
let center = new Point(0, 0).add(frequencies.get(0));
for (let f = 1; f <= HALF_N_FREQ; f += 1) {
center = center.add(frequencies.get(f)).add(frequencies.get(-f));
}
return center;
};
h.toggleZoom = (val = undefined) => {
if (drawingDone) return;
zoomOn = val === undefined ? !zoomOn : val;
Log.i(`zoom is ${zoomOn ? "on" : "off"}`);
};
h.getText = (pct) => {
const subline = drawingDone
? `\n${IS_MOBILE ? "Tap to redraw" : "Click to redraw"}`
: `\n${IS_MOBILE ? "Tap to toggle zoom" : "Click to toggle zoom"}`;
return `${pct}% complete${subline}`;
};
h.showPctAndCtrls = (centerX, centerY) => {
p.push();
const pct = Math.floor((drawn.length / totalTicks) * 100);
p.textSize(TEXT_SIZE / currentScale);
p.textStyle(p.BOLD);
p.textFont("Courier New");
p.fill(TEXT_COL);
p.textAlign(p.CENTER, p.BOTTOM);
p.text(
h.getText(pct),
(CENTER_X - centerX) / currentScale,
(CANVAS_H - centerY - TEXT_PAD) / currentScale
);
p.pop();
};
h.animateDrawing = () => {
let center = new Point(0, 0);
h.drawArrowAndEpicycleWithCenterVector(center, frequencies.get(0));
center = center.add(frequencies.get(0));
// Why alternate freqs? Can these be ordered by magnitude?
for (let f = 1; f <= HALF_N_FREQ; f += 1) {
h.drawArrowAndEpicycleWithCenterVector(center, frequencies.get(f));
center = center.add(frequencies.get(f));
h.drawArrowAndEpicycleWithCenterVector(center, frequencies.get(-f));
center = center.add(frequencies.get(-f));
}
};
h.angleIncFrac = () => {
return (2 * Math.PI) / (SLOWNESS_FAC * FRAME_RATE);
};
h.advanceTime = (frequencies) => {
for (const [f, p] of frequencies) {
frequencies.set(
f,
p.mul(new Point({ abs: 1, arg: f * h.angleIncFrac() }))
);
}
};
h.drawDrawn = () => {
p.push();
p.stroke(LINE_COL);
for (const i in drawn) {
if (i == 0) continue;
// TODO use p5 bazier curves
h.lineScaled(
drawn[i - 1].re,
drawn[i - 1].im,
drawn[i].re,
drawn[i].im,
IS_MOBILE ? 1.5 : 2
);
}
p.pop();
};
h.drawArrowAndEpicycleWithCenterVector = (center, vec) => {
h.drawArrowAndEpicycle(center.re, center.im, vec.abs(), vec.arg());
};
h.drawArrowAndEpicycle = (x, y, mag, angle) => {
p.push();
h.drawArrow(x, y, mag, angle);
h.drawEpicycle(x, y, mag);
p.pop();
};
h.drawArrow = (x, y, mag, angle) => {
p.push();
p.stroke(ARROW_COL);
p.translate(x, y);
p.rotate(angle);
h.lineScaled(0, 0, mag, 0, 1);
// TODO use applyMatrix to rotate and translate
const headSize = h.getArrowHeadSizeScaled(mag);
p.translate(mag - headSize, 0);
p.noStroke();
p.fill(ARROW_COL);
h.triangleScaled(headSize);
p.pop();
};
h.drawEpicycle = (x, y, radius) => {
p.push();
p.noFill();
p.stroke(EPICYC_COL);
h.circleScaled(x, y, radius);
p.pop();
};
h.circleScaled = (x, y, radius) => {
p.push();
p.strokeWeight(1 / currentScale);
p.circle(x, y, 2 * radius);
p.pop();
};
h.lineScaled = (x1, y1, x2, y2, strokeWeight = 2) => {
p.push();
p.strokeWeight(strokeWeight / currentScale);
p.line(x1, y1, x2, y2);
p.pop();
};
h.triangleScaled = (headSize) => {
p.push();
p.triangle(0, headSize / 2, headSize, 0, 0, -headSize / 2);
p.pop();
};
h.getArrowHeadSizeScaled = (arrowSize) => {
// TODO adaptive head size based on arrow length
return arrowSize / 7;
};
});