Worked on overlay
This commit is contained in:
Sam
parent
6233468037
commit
4cfcca81e2
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<!DOCTYPE html>
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<html>
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<!-- ahhh -->
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<body style="margin:0;">
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<canvas id="myCanvas" width="10" height="10"
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style="display: block;box-sizing: border-box;">
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Your browser does not support the HTML5 canvas tag.</canvas>
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<script>
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let c = document.getElementById("myCanvas");
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let ctx = c.getContext("2d");
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ctx.canvas.width = window.innerWidth;
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ctx.canvas.height = window.innerHeight;
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let deg_per_sec = 30;
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let time = 120;
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let fps = 60;
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centerX = ctx.canvas.width / 2;
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centerY = ctx.canvas.height / 2;
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rotation = 0; //was = j = angle
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currentFrame = 0; //was = i
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let depth = 500 //custom to npoly twist
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function render() {
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if (currentFrame < time / (1 / fps)) {
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setTimeout(() => {
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render();
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render_clear();
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colour1 = [235, 64, 52];
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colour2 = [0, 0, 0];
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// colour1 = [66, 18, 15];
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DrawPolyTwistColour_width(10,400,-90,rotation/20,colour1,colour2)
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// DrawPolyTwist_width(10,400,-90,rotation/20,"red")
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// DrawSquareTwist_angle(3,400,0,rotation,"red")
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}, 1000 / fps);
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rotation += deg_per_sec / fps; // was = j = innerRotation, now = rotation
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currentFrame += 1; // was = i
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}
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}
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render();
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function DrawSquareTwist_angle(sides,width, rotation,innerRotation, colour){
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let out_angle = innerRotation;
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// let widthMultiplier = 169 / (239 * Math.sin(Math.PI / 180 * (135 - out_angle + 90 * Math.floor(out_angle / 90))))
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// let widthMultiplier = Math.sqrt(0.5) * 1/ (Math.sin(Math.PI / 180 * (135 - out_angle + 90 * Math.floor(out_angle / 90))))
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let widthMultiplier = Math.sqrt(0.5) * 1/ (Math.sin(Math.PI / 180 * (135 - out_angle + 90 * Math.floor(out_angle / 90))))
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for (let i = 0; i < 25; i++) {
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DrawPolygon(sides,width*widthMultiplier**i,innerRotation*i, colour)
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}
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}
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function DrawPolyTwist_width(sides,width, rotation,innerRotation, colour){
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let out_angle = 0
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let innerAngle = 180 - ((sides-2) *180/sides);
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let scopeAngle = innerRotation - (innerAngle*Math.floor(innerRotation/innerAngle));
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if (scopeAngle < innerAngle/2) {
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out_angle = innerAngle / (2 * Math.cos((2*Math.PI*scopeAngle)/(3*innerAngle))) - innerAngle/2
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}
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else {
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out_angle = -innerAngle / (2 * Math.cos( ((2*Math.PI)/3) - ((2*Math.PI*scopeAngle)/(3*innerAngle))) ) + (innerAngle*3)/2
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}
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let minWidth = Math.sin(rad(innerAngle/2))*(0.5/Math.tan(rad(innerAngle/2)))*2;
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let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
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for (let i = 0; i < depth; i++) {
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DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, colour)
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}
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}
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function DrawPolyTwistColour_width(sides,width, rotation,innerRotation, colour1,colour2){
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let out_angle = 0
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let innerAngle = 180 - ((sides-2) *180/sides);
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let scopeAngle = innerRotation - (innerAngle*Math.floor(innerRotation/innerAngle));
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if (scopeAngle < innerAngle/2) {
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out_angle = innerAngle / (2 * Math.cos((2*Math.PI*scopeAngle)/(3*innerAngle))) - innerAngle/2
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}
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else {
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out_angle = -innerAngle / (2 * Math.cos( ((2*Math.PI)/3) - ((2*Math.PI*scopeAngle)/(3*innerAngle))) ) + (innerAngle*3)/2
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}
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let minWidth = Math.sin(rad(innerAngle/2))*(0.5/Math.tan(rad(innerAngle/2)))*2;
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let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
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for (let i = 0; i < depth; i++) {
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// let ncolour = LerpRGB(colour1,colour2,i/depth);
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let fraction = ((-1*(i-depth))**2)/(depth**2)
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console.log(fraction);
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let ncolour = LerpRGB(colour1,colour2,fraction);
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// let ncolour = LerpRGB(colour1,colour2,((i-depth)**2)/depth**2);
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DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, colourToText(ncolour))
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}
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}
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function DrawPolygon(sides, width, rotation, colour) {
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ctx.beginPath();
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ctx.moveTo (centerX + width * Math.cos(rotation*Math.PI/180), centerY + width * Math.sin(rotation*Math.PI/180));
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for (var i = 1; i <= sides; i += 1) {
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ctx.lineTo(
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centerX + width * Math.cos(i * 2 * Math.PI / sides + (rotation*Math.PI/180)),
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centerY + width * Math.sin(i * 2 * Math.PI / sides + (rotation*Math.PI/180))
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);
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}
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ctx.strokeStyle = colour;
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ctx.lineWidth = 1;
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ctx.stroke();
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}
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function rad(degrees) {
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var pi = Math.PI;
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return degrees * (pi / 180);
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}
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function colourToText(colour) {
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return "rgb(" + colour[0] + "," + colour[1] + "," + colour[2] + ")"
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}
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function LerpRGB(a, b, t) {
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if (t < 0) {
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t *= -1;
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}
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var newColor = [0, 0, 0];
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newColor[0] = a[0] + (b[0] - a[0]) * t;
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newColor[1] = a[1] + (b[1] - a[1]) * t;
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newColor[2] = a[2] + (b[2] - a[2]) * t;
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return newColor;
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}
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function render_clear() {
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ctx.clearRect(0, 0, ctx.canvas.width, ctx.canvas.height);
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ctx.fillStyle = "black";
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ctx.fillRect(0, 0, ctx.canvas.width, ctx.canvas.height);
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}
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</script>
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</body>
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</html>
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rotation = 0; //was = j = angle
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rotation = 0; //was = j = angle
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currentFrame = 0; //was = i
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currentFrame = 0; //was = i
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let depth = 300 //custom to npoly twist
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function render() {
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function render() {
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if (currentFrame < time / (1 / fps)) {
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if (currentFrame < time / (1 / fps)) {
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setTimeout(() => {
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setTimeout(() => {
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render();
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render();
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render_clear();
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render_clear();
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colour1 = [255, 0, 0];
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colour2 = [0, 0, 0];
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DrawPolyTwist_width(3,400,-90,rotation,"red")
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DrawPolyTwistColour_angle(15,400,-90,rotation/20,colour1, colour2)
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// DrawSquareTwist_angle(3,400,0,rotation,"red")
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// DrawPolyTwist_angle(15,400,-90,rotation/20,"red")
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// DrawPolyTwistColour_width(4,400,-45,rotation/4,colour1,colour2)
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// DrawPolyTwist_width(10,400,-90,rotation/20,"red")
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}, 1000 / fps);
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}, 1000 / fps);
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rotation += deg_per_sec / fps; // was = j = innerRotation, now = rotation
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rotation += deg_per_sec / fps; // was = j = innerRotation, now = rotation
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render();
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render();
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function DrawSquareTwist_angle(sides,width, rotation,innerRotation, colour){
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function DrawPolyTwist_angle(sides,width, rotation,innerRotation, colour){
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let out_angle = innerRotation;
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let out_angle = innerRotation;
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// let widthMultiplier = 169 / (239 * Math.sin(Math.PI / 180 * (135 - out_angle + 90 * Math.floor(out_angle / 90))))
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let innerAngle = 180 - ((sides-2) *180/sides);
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// let widthMultiplier = Math.sqrt(0.5) * 1/ (Math.sin(Math.PI / 180 * (135 - out_angle + 90 * Math.floor(out_angle / 90))))
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let minWidth = Math.sin(rad(innerAngle/2))*(0.5/Math.tan(rad(innerAngle/2)))*2;
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let widthMultiplier = Math.sqrt(0.5) * 1/ (Math.sin(Math.PI / 180 * (135 - out_angle + 90 * Math.floor(out_angle / 90))))
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let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
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for (let i = 0; i < 25; i++) {
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for (let i = 0; i < depth; i++) {
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DrawPolygon(sides,width*widthMultiplier**i,innerRotation*i, colour)
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DrawPolygon(sides,width*widthMultiplier**i,innerRotation*i, colour)
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}
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}
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}
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function DrawPolyTwist_width(sides,width, rotation,innerRotation, colour){
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function DrawPolyTwist_width(sides,width, rotation,innerRotation, colour){
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@ -67,11 +75,57 @@
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let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
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let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
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for (let i = 0; i < 25; i++) {
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for (let i = 0; i < depth; i++) {
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DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, colour)
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DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, colour)
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}
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}
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}
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}
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function DrawPolyTwistColour_angle(sides,width, rotation,innerRotation,colour1,colour2){
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let out_angle = innerRotation;
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let innerAngle = 180 - ((sides-2) *180/sides);
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let minWidth = Math.sin(rad(innerAngle/2))*(0.5/Math.tan(rad(innerAngle/2)))*2;
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let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
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for (let i = 0; i < depth; i++) {
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let fraction = i/depth;
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// let fraction = Math.cos(rad(i / 2));
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// let fraction = (-1*(i-depth)**2)/depth**2+1
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let ncolour = LerpRGB(colour1,colour2,fraction);
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// let ncolour = LerpRGB(colour1,colour2,((i-depth)**2)/depth**2);
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DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, colourToText(ncolour))
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}
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}
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function DrawPolyTwistColour_width(sides,width, rotation,innerRotation, colour1,colour2){
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let out_angle = 0
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let innerAngle = 180 - ((sides-2) *180/sides);
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let scopeAngle = innerRotation - (innerAngle*Math.floor(innerRotation/innerAngle));
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if (scopeAngle < innerAngle/2) {
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out_angle = innerAngle / (2 * Math.cos((2*Math.PI*scopeAngle)/(3*innerAngle))) - innerAngle/2
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}
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else {
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out_angle = -innerAngle / (2 * Math.cos( ((2*Math.PI)/3) - ((2*Math.PI*scopeAngle)/(3*innerAngle))) ) + (innerAngle*3)/2
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}
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let minWidth = Math.sin(rad(innerAngle/2))*(0.5/Math.tan(rad(innerAngle/2)))*2;
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let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
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for (let i = 0; i < depth; i++) {
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// let ncolour = LerpRGB(colour1,colour2,i/depth);
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let fraction = i/depth;
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// let fraction = Math.cos(rad(i / 2));
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// let fraction = (-1*(i-depth)**2)/depth**2+1
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let ncolour = LerpRGB(colour1,colour2,fraction);
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// let ncolour = LerpRGB(colour1,colour2,((i-depth)**2)/depth**2);
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DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, colourToText(ncolour))
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}
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}
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function DrawPolygon(sides, width, rotation, colour) {
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function DrawPolygon(sides, width, rotation, colour) {
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ctx.beginPath();
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ctx.beginPath();
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ctx.moveTo (centerX + width * Math.cos(rotation*Math.PI/180), centerY + width * Math.sin(rotation*Math.PI/180));
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ctx.moveTo (centerX + width * Math.cos(rotation*Math.PI/180), centerY + width * Math.sin(rotation*Math.PI/180));
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return degrees * (pi / 180);
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return degrees * (pi / 180);
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}
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}
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function colourToText(colour) {
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return "rgb(" + colour[0] + "," + colour[1] + "," + colour[2] + ")"
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}
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function LerpRGB(a, b, t) {
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if (t < 0) {
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t *= -1;
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}
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var newColor = [0, 0, 0];
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newColor[0] = a[0] + (b[0] - a[0]) * t;
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newColor[1] = a[1] + (b[1] - a[1]) * t;
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newColor[2] = a[2] + (b[2] - a[2]) * t;
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return newColor;
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}
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function render_clear() {
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function render_clear() {
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@ -0,0 +1,29 @@
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body {
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-webkit-box-sizing: border-box; /* Safari/Chrome, other WebKit */
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-moz-box-sizing: border-box; /* Firefox, other Gecko */
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box-sizing: border-box; /* Opera/IE 8+ */
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height:100%
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}
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p{
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margin: 0px;
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}
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canvas {
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position: absolute;
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}
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#toolbar {
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display: flex;
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flex-flow: column;
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height: 100%;
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position: absolute;
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padding: 0px 20px 0px 20px;
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width: 500px;
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height: 100vh;
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background-color: rgb(189, 189, 189);
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}
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.controls{
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display: block;
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}
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@ -0,0 +1,50 @@
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<!DOCTYPE html>
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<html>
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<!-- ahhh -->
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<head>
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<title>Document</title>
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<link rel="stylesheet" href="./css/styles.css">
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</head>
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<body style="margin:0;">
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<canvas id="myCanvas" width="10" height="10"
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style="display: block;box-sizing: border-box;"></canvas>
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<div id="toolbar">
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<br>
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<P>Size</P>
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<p id="outputWidth">400</p>
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<input type="range" min="1" max="600" value="400" class="slider" id="inputWidth">
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<br>
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<p># of sides</p>
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<input type="text" id="inputSides" value="5" onchange="ChangeSides(this.value)">
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<input type="range" min="3" max="20" value="3" class="slider" id="inputSidesSlider">
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<br>
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<p>Colours</p>
|
||||||
|
<input type="color" id="colour1" name="favcolor" value="#4287f5">
|
||||||
|
<input type="color" id="colour2" name="favcolor" value="#42f57b">
|
||||||
|
<br>
|
||||||
|
<p>Depth</p>
|
||||||
|
<input type="text" id="inputDepth" value="300" onchange="ChangeDepth(this.value)">
|
||||||
|
<br>
|
||||||
|
<p>Global Rotation</p>
|
||||||
|
<input type="text" id="inputSetGlobalRotation" value="0" onchange="ChangeGlobalRotation(this.value)">
|
||||||
|
<br>
|
||||||
|
<p>Object Rotation</p>
|
||||||
|
<input type="text" id="inputSetObjectRotation" value="-90" onchange="ChangeObjectRotation(this.value)">
|
||||||
|
<input type="range" min="-180" max="180" value="-90" class="slider" id="inputObjectRotationSlider" onchange="ChangeObjectRotation(this.value)">
|
||||||
|
<br>
|
||||||
|
<p>Degrees Per Second</p>
|
||||||
|
<input type="text" id="inputDegPerSec" value="5" onchange="ChangeDegPerSec(this.value)">
|
||||||
|
<br>
|
||||||
|
<p>Controls</p>
|
||||||
|
<button id="resetButton" onclick="Reset()">Reset</button>
|
||||||
|
<div class="controls">
|
||||||
|
<button onclick="BackwardFrame()"><</button>
|
||||||
|
<button id="pauseButton" onclick="TogglePause()">Play</button>
|
||||||
|
<button onclick="ForwardFrame()">></button>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
</body>
|
||||||
|
<script src="./js/math.js" type="text/javascript"></script>
|
||||||
|
<script src="./js/objects.js" type="text/javascript"></script>
|
||||||
|
<script src="./js/index.js"></script>
|
||||||
|
</html>
|
||||||
|
|
@ -0,0 +1,143 @@
|
||||||
|
//jshint esversion:8
|
||||||
|
let c = document.getElementById("myCanvas");
|
||||||
|
let ctx = c.getContext("2d");
|
||||||
|
ctx.canvas.width = window.innerWidth;
|
||||||
|
ctx.canvas.height = window.innerHeight;
|
||||||
|
centerX = ctx.canvas.width / 2;
|
||||||
|
centerY = ctx.canvas.height / 2;
|
||||||
|
|
||||||
|
let deg_per_sec = 5;
|
||||||
|
let time = 120;
|
||||||
|
let fps = 60;
|
||||||
|
|
||||||
|
rotation = 0; //was = j = angle
|
||||||
|
currentFrame = 0; //was = i
|
||||||
|
|
||||||
|
let depth = 300; //custom to npoly twist
|
||||||
|
|
||||||
|
let paused = true;
|
||||||
|
render_clear();
|
||||||
|
|
||||||
|
colour1 = "#4287f5";
|
||||||
|
colour2 = "#42f57b";
|
||||||
|
|
||||||
|
let width = 400
|
||||||
|
let sides = 3
|
||||||
|
let objectRotation = -90;
|
||||||
|
|
||||||
|
function render() {
|
||||||
|
|
||||||
|
if (currentFrame < time / (1 / fps)) {
|
||||||
|
setTimeout(() => {
|
||||||
|
render();
|
||||||
|
|
||||||
|
render_clear();
|
||||||
|
|
||||||
|
|
||||||
|
// DrawPolyTwistColour_angle(sides, width, -90, rotation, colour1, colour2);
|
||||||
|
// DrawPolyTwist_angle(15,400,-90,rotation/20,"red")
|
||||||
|
DrawPolyTwistColour_width(sides,width,objectRotation,rotation,colour1,colour2)
|
||||||
|
// DrawPolyTwist_width(10,400,-90,rotation/20,"red")
|
||||||
|
|
||||||
|
if (!paused) {
|
||||||
|
rotation += deg_per_sec / fps; // was = j = innerRotation, now = rotation
|
||||||
|
currentFrame += 1; // was = i
|
||||||
|
}
|
||||||
|
|
||||||
|
}, 1000 / fps);
|
||||||
|
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
let toolbarShowing = true;
|
||||||
|
document.addEventListener('keydown', toggle);
|
||||||
|
|
||||||
|
function toggle(e){
|
||||||
|
if (e.key == "p") {
|
||||||
|
toolbarShowing = !toolbarShowing;
|
||||||
|
}
|
||||||
|
if (e.code === 'Space') {
|
||||||
|
paused = !paused;
|
||||||
|
}
|
||||||
|
|
||||||
|
let tb = document.getElementById("toolbar");
|
||||||
|
if (toolbarShowing) {
|
||||||
|
tb.style.display = "flex"
|
||||||
|
}
|
||||||
|
else{
|
||||||
|
tb.style.display = "none";
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
function TogglePause(){
|
||||||
|
let pb = document.getElementById("pauseButton");
|
||||||
|
paused = !paused
|
||||||
|
|
||||||
|
if (paused) {
|
||||||
|
pb.textContent = "Play"
|
||||||
|
}
|
||||||
|
else{
|
||||||
|
pb.textContent = "Pause"
|
||||||
|
}
|
||||||
|
}
|
||||||
|
function Reset(){
|
||||||
|
rotation = 0; //was = j = angle
|
||||||
|
currentFrame = 0;
|
||||||
|
}
|
||||||
|
|
||||||
|
function ForwardFrame(){
|
||||||
|
rotation += deg_per_sec / fps; // was = j = innerRotation, now = rotation
|
||||||
|
currentFrame += 1; // was = i
|
||||||
|
}
|
||||||
|
function BackwardFrame(){
|
||||||
|
rotation -= deg_per_sec / fps; // was = j = innerRotation, now = rotation
|
||||||
|
currentFrame -= 1; // was = i
|
||||||
|
}
|
||||||
|
|
||||||
|
const inputColour1 = document.getElementById('colour1');
|
||||||
|
inputColour1.addEventListener('input', ChangeColour);
|
||||||
|
const inputColour2 = document.getElementById('colour2');
|
||||||
|
inputColour2.addEventListener('input', ChangeColour);
|
||||||
|
|
||||||
|
function ChangeColour(e) {
|
||||||
|
if (e.target.id == "colour1") {
|
||||||
|
colour1 = e.target.value;
|
||||||
|
}
|
||||||
|
else{
|
||||||
|
colour2 = e.target.value;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
const inputWidth = document.getElementById('inputWidth');
|
||||||
|
const outputWidth = document.getElementById('outputWidth');
|
||||||
|
inputWidth.addEventListener('input', ChangeWidth);
|
||||||
|
function ChangeWidth(e) {
|
||||||
|
width = e.target.value;
|
||||||
|
outputWidth.textContent = e.target.value;
|
||||||
|
|
||||||
|
}
|
||||||
|
|
||||||
|
function ChangeDepth(dep) {
|
||||||
|
depth = dep;
|
||||||
|
}
|
||||||
|
function ChangeDegPerSec(newValue){
|
||||||
|
deg_per_sec = newValue;
|
||||||
|
}
|
||||||
|
const inputSides = document.getElementById('inputSidesSlider');
|
||||||
|
inputSides.addEventListener('input', ChangeSidesSlider);
|
||||||
|
function ChangeSidesSlider(e) {
|
||||||
|
sides = e.target.value;
|
||||||
|
}
|
||||||
|
|
||||||
|
function ChangeSides(newValue){
|
||||||
|
sides = newValue;
|
||||||
|
}
|
||||||
|
|
||||||
|
function ChangeGlobalRotation(newValue){
|
||||||
|
rotation = parseInt(newValue);
|
||||||
|
}
|
||||||
|
function ChangeObjectRotation(newValue){
|
||||||
|
objectRotation = parseInt(newValue);
|
||||||
|
}
|
||||||
|
|
||||||
|
window.onload = render;
|
||||||
|
|
@ -0,0 +1,81 @@
|
||||||
|
function degToRad(deg) {
|
||||||
|
return (deg * Math.PI) / 180;
|
||||||
|
}
|
||||||
|
|
||||||
|
function rotateMatrix2d(p, angle) {
|
||||||
|
// cos0 sin0
|
||||||
|
// -sin0 cos0
|
||||||
|
const angleD = degToRad(angle);
|
||||||
|
const r = [
|
||||||
|
[Math.cos(angleD), Math.sin(angleD)],
|
||||||
|
[-Math.sin(angleD), Math.cos(angleD)],
|
||||||
|
];
|
||||||
|
const newPoint = [
|
||||||
|
p[0] * r[0][0] + p[1] * r[0][1],
|
||||||
|
p[0] * r[1][0] + p[1] * r[1][1],
|
||||||
|
];
|
||||||
|
return newPoint;
|
||||||
|
}
|
||||||
|
|
||||||
|
function rotateMatrix3dX(p, angle) {
|
||||||
|
// cos0 sin0
|
||||||
|
// -sin0 cos0
|
||||||
|
const angleD = degToRad(angle);
|
||||||
|
const r = [
|
||||||
|
[1, 0, 0],
|
||||||
|
[0, Math.cos(angleD), -Math.sin(angleD)],
|
||||||
|
[0, Math.sin(angleD), Math.cos(angleD)],
|
||||||
|
];
|
||||||
|
const newPoint = [
|
||||||
|
p[0] * r[0][0] + p[1] * r[0][1] + p[2] * r[0][2],
|
||||||
|
p[0] * r[1][0] + p[1] * r[1][1] + p[2] * r[1][2],
|
||||||
|
p[0] * r[2][0] + p[1] * r[2][1] + p[2] * r[2][2],
|
||||||
|
];
|
||||||
|
return newPoint;
|
||||||
|
}
|
||||||
|
|
||||||
|
function rotateMatrix3dY(p, angle) {
|
||||||
|
// cos0 sin0
|
||||||
|
// -sin0 cos0
|
||||||
|
const angleD = degToRad(angle);
|
||||||
|
const r = [
|
||||||
|
[Math.cos(angleD), 0, Math.sin(angleD)],
|
||||||
|
[0, 1, 0],
|
||||||
|
[-Math.sin(angleD), 0, Math.cos(angleD)],
|
||||||
|
];
|
||||||
|
const newPoint = [
|
||||||
|
p[0] * r[0][0] + p[1] * r[0][1] + p[2] * r[0][2],
|
||||||
|
p[0] * r[1][0] + p[1] * r[1][1] + p[2] * r[1][2],
|
||||||
|
p[0] * r[2][0] + p[1] * r[2][1] + p[2] * r[2][2],
|
||||||
|
];
|
||||||
|
return newPoint;
|
||||||
|
}
|
||||||
|
function rotateMatrix3dZ(p, angle) {
|
||||||
|
// cos0 sin0
|
||||||
|
// -sin0 cos0
|
||||||
|
const angleD = degToRad(angle);
|
||||||
|
const r = [
|
||||||
|
[Math.cos(angleD), -Math.sin(angleD), 0],
|
||||||
|
[Math.sin(angleD), Math.cos(angleD), 0],
|
||||||
|
[0, 0, 1],
|
||||||
|
];
|
||||||
|
const newPoint = [
|
||||||
|
p[0] * r[0][0] + p[1] * r[0][1] + p[2] * r[0][2],
|
||||||
|
p[0] * r[1][0] + p[1] * r[1][1] + p[2] * r[1][2],
|
||||||
|
p[0] * r[2][0] + p[1] * r[2][1] + p[2] * r[2][2],
|
||||||
|
];
|
||||||
|
return newPoint;
|
||||||
|
}
|
||||||
|
|
||||||
|
function projectionOrth(v) {
|
||||||
|
const p = [
|
||||||
|
[1, 0, 0],
|
||||||
|
[0, 1, 0],
|
||||||
|
];
|
||||||
|
|
||||||
|
const nPoint = [
|
||||||
|
p[0][0] * v[0] + p[0][1] * v[1] + p[0][2] * v[2],
|
||||||
|
p[1][0] * v[0] + p[1][1] * v[1] + p[1][2] * v[2],
|
||||||
|
];
|
||||||
|
return nPoint;
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,140 @@
|
||||||
|
// import math from "math.js";
|
||||||
|
function DrawPolyTwist_angle(sides,width, rotation,innerRotation, colour){
|
||||||
|
let out_angle = innerRotation;
|
||||||
|
let innerAngle = 180 - ((sides-2) *180/sides);
|
||||||
|
let minWidth = Math.sin(rad(innerAngle/2))*(0.5/Math.tan(rad(innerAngle/2)))*2;
|
||||||
|
|
||||||
|
let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
|
||||||
|
|
||||||
|
for (let i = 0; i < depth; i++) {
|
||||||
|
DrawPolygon(sides,width*widthMultiplier**i,innerRotation*i, colour)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
function DrawPolyTwist_width(sides,width, rotation,innerRotation, colour){
|
||||||
|
let out_angle = 0
|
||||||
|
let innerAngle = 180 - ((sides-2) *180/sides);
|
||||||
|
let scopeAngle = innerRotation - (innerAngle*Math.floor(innerRotation/innerAngle));
|
||||||
|
|
||||||
|
if (scopeAngle < innerAngle/2) {
|
||||||
|
out_angle = innerAngle / (2 * Math.cos((2*Math.PI*scopeAngle)/(3*innerAngle))) - innerAngle/2
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
out_angle = -innerAngle / (2 * Math.cos( ((2*Math.PI)/3) - ((2*Math.PI*scopeAngle)/(3*innerAngle))) ) + (innerAngle*3)/2
|
||||||
|
}
|
||||||
|
let minWidth = Math.sin(rad(innerAngle/2))*(0.5/Math.tan(rad(innerAngle/2)))*2;
|
||||||
|
|
||||||
|
let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
|
||||||
|
|
||||||
|
for (let i = 0; i < depth; i++) {
|
||||||
|
DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, colour)
|
||||||
|
}
|
||||||
|
|
||||||
|
}
|
||||||
|
|
||||||
|
function DrawPolyTwistColour_angle(sides,width, rotation,innerRotation,colour1,colour2){
|
||||||
|
let out_angle = innerRotation;
|
||||||
|
let innerAngle = 180 - ((sides-2) *180/sides);
|
||||||
|
let minWidth = Math.sin(rad(innerAngle/2))*(0.5/Math.tan(rad(innerAngle/2)))*2;
|
||||||
|
|
||||||
|
let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
|
||||||
|
|
||||||
|
for (let i = 0; i < depth; i++) {
|
||||||
|
let fraction = i/depth;
|
||||||
|
// let fraction = Math.cos(rad(i / 2));
|
||||||
|
// let fraction = (-1*(i-depth)**2)/depth**2+1
|
||||||
|
// let ncolour = LerpRGB(colour1,colour2,fraction);
|
||||||
|
let ncolour = LerpHex(colour1,colour2,fraction);
|
||||||
|
|
||||||
|
// let ncolour = LerpRGB(colour1,colour2,((i-depth)**2)/depth**2);
|
||||||
|
// DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, colourToText(ncolour))
|
||||||
|
DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, ncolour)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
function DrawPolyTwistColour_width(sides,width, rotation,innerRotation, colour1,colour2){
|
||||||
|
let out_angle = 0
|
||||||
|
let innerAngle = 180 - ((sides-2) *180/sides);
|
||||||
|
let scopeAngle = innerRotation - (innerAngle*Math.floor(innerRotation/innerAngle));
|
||||||
|
|
||||||
|
if (scopeAngle < innerAngle/2) {
|
||||||
|
out_angle = innerAngle / (2 * Math.cos((2*Math.PI*scopeAngle)/(3*innerAngle))) - innerAngle/2
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
out_angle = -innerAngle / (2 * Math.cos( ((2*Math.PI)/3) - ((2*Math.PI*scopeAngle)/(3*innerAngle))) ) + (innerAngle*3)/2
|
||||||
|
}
|
||||||
|
let minWidth = Math.sin(rad(innerAngle/2))*(0.5/Math.tan(rad(innerAngle/2)))*2;
|
||||||
|
|
||||||
|
let widthMultiplier = minWidth / Math.sin(Math.PI / 180 * (90+innerAngle/2 - out_angle + innerAngle * Math.floor(out_angle / innerAngle)))
|
||||||
|
|
||||||
|
for (let i = 0; i < depth; i++) {
|
||||||
|
// let ncolour = LerpRGB(colour1,colour2,i/depth);
|
||||||
|
let fraction = i/depth;
|
||||||
|
// let fraction = Math.cos(rad(i / 2));
|
||||||
|
// let fraction = (-1*(i-depth)**2)/depth**2+1
|
||||||
|
|
||||||
|
let ncolour = LerpHex(colour1,colour2,fraction);
|
||||||
|
// let ncolour = LerpRGB(colour1,colour2,fraction);
|
||||||
|
// let ncolour = LerpRGB(colour1,colour2,((i-depth)**2)/depth**2);
|
||||||
|
|
||||||
|
DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, ncolour)
|
||||||
|
// DrawPolygon(sides,width*widthMultiplier**i,out_angle*i+rotation, colourToText(ncolour))
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
function DrawPolygon(sides, width, rotation, colour) {
|
||||||
|
ctx.beginPath();
|
||||||
|
ctx.moveTo (centerX + width * Math.cos(rotation*Math.PI/180), centerY + width * Math.sin(rotation*Math.PI/180));
|
||||||
|
|
||||||
|
for (var i = 1; i <= sides; i += 1) {
|
||||||
|
ctx.lineTo(
|
||||||
|
centerX + width * Math.cos(i * 2 * Math.PI / sides + (rotation*Math.PI/180)),
|
||||||
|
centerY + width * Math.sin(i * 2 * Math.PI / sides + (rotation*Math.PI/180))
|
||||||
|
);
|
||||||
|
}
|
||||||
|
ctx.strokeStyle = colour;
|
||||||
|
ctx.lineWidth = 1;
|
||||||
|
ctx.stroke();
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
function rad(degrees) {
|
||||||
|
var pi = Math.PI;
|
||||||
|
return degrees * (pi / 180);
|
||||||
|
}
|
||||||
|
|
||||||
|
function colourToText(colour) {
|
||||||
|
return "rgb(" + colour[0] + "," + colour[1] + "," + colour[2] + ")"
|
||||||
|
}
|
||||||
|
|
||||||
|
function LerpHex(a, b, amount) {
|
||||||
|
|
||||||
|
var ah = parseInt(a.replace(/#/g, ''), 16),
|
||||||
|
ar = ah >> 16, ag = ah >> 8 & 0xff, ab = ah & 0xff,
|
||||||
|
bh = parseInt(b.replace(/#/g, ''), 16),
|
||||||
|
br = bh >> 16, bg = bh >> 8 & 0xff, bb = bh & 0xff,
|
||||||
|
rr = ar + amount * (br - ar),
|
||||||
|
rg = ag + amount * (bg - ag),
|
||||||
|
rb = ab + amount * (bb - ab);
|
||||||
|
|
||||||
|
return '#' + ((1 << 24) + (rr << 16) + (rg << 8) + rb | 0).toString(16).slice(1);
|
||||||
|
}
|
||||||
|
|
||||||
|
function LerpRGB(a, b, t) {
|
||||||
|
if (t < 0) {
|
||||||
|
t *= -1;
|
||||||
|
}
|
||||||
|
var newColor = [0, 0, 0];
|
||||||
|
newColor[0] = a[0] + (b[0] - a[0]) * t;
|
||||||
|
newColor[1] = a[1] + (b[1] - a[1]) * t;
|
||||||
|
newColor[2] = a[2] + (b[2] - a[2]) * t;
|
||||||
|
return newColor;
|
||||||
|
}
|
||||||
|
|
||||||
|
function render_clear() {
|
||||||
|
ctx.clearRect(0, 0, ctx.canvas.width, ctx.canvas.height);
|
||||||
|
ctx.fillStyle = "black";
|
||||||
|
ctx.fillRect(0, 0, ctx.canvas.width, ctx.canvas.height);
|
||||||
|
}
|
||||||
Loading…
Reference in New Issue