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<!DOCTYPE html>
<html>
<!-- ahhh -->
<body>
<canvas id="myCanvas" width="1920" height="1080" style="border:1px solid #d3d3d3;">
Your browser does not support the HTML5 canvas tag.</canvas>
<script>
function rad(degrees) {
var pi = Math.PI;
return degrees * (pi / 180);
}
function colourToText(colour) {
return "rgb(" + colour[0] + "," + colour[1] + "," + colour[2] + ")"
}
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 draw_shape(sides, radius, rotation, x, y, colour) {
var rot = Math.round((sides - 2) * 180 / sides * 2)
var piv = 360 / sides;
var stt = 0.5 * Math.PI - rad(rot) + rad(rotation);
var end = 0;
for (let i = 1; i < sides + 1; i++) {
end = stt + rad(rot);
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt, end, 0);
ctx.strokeStyle = colour;
ctx.stroke();
stt = end + -(rad(rot - piv)) //+rad(30);
}
}
function draw_shape_sub(sides, radius, rotation, x, y, colour) {
var denominator = sides - 2
//var rot = Math.round((sides - 2) * 180 / sides * 2)
var rot = (Math.round((sides - 2) * 180 / sides * 2)) * (1 / denominator)
var piv = 360 / sides;
var l = 1
var stt = 0.5 * Math.PI - rad(rot) * l + rad(rotation);
var end = 0;
for (let i = 1; i < sides + 1; i++) {
end = (stt + rad(rot));
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt, end, 0);
ctx.strokeStyle = colour;
ctx.stroke();
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt - rad(rot) * l, end - rad(rot) * l, 0);
ctx.strokeStyle = colour;
ctx.stroke();
stt = end + -(rad(rot - piv)) //+rad(30);
}
}
function draw_shape_fill(sides, radius, rotation, x, y, colour) {
var rot = Math.round((sides - 2) * 180 / sides * 2)
var piv = 360 / sides;
var stt = 0.5 * Math.PI - rad(rot) + rad(rotation);
var end = 0;
var n = radius / ((radius / 10) * (radius / 10)) //pixel correction for mid leaf
for (let i = 1; i < sides + 1; i++) {
end = stt + rad(rot);
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt - (stt - end) / 2, end + rad(n), 0);
ctx.fillStyle = colour;
ctx.fill();
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt, end - (end - stt) / 2 + rad(n), 0);
ctx.fillStyle = colour;
ctx.fill();
stt = end + -(rad(rot - piv)) //+rad(30);
}
}
function Draw_Shape_accident(sides, radius, rotation, x, y, colour) {
var rot = Math.round((sides - 2) * 180 / sides * 2)
var piv = 360 / sides;
var stt = 0.5 * Math.PI - rad(rot) //+ rad(rotation);
var end = 0;
var n = radius / ((radius / 10) * (radius / 10)) //pixel correction for mid leaf
for (let i = 1; i < sides + 1; i++) {
end = stt + rad(rot);
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt - (stt - end + rad(rotation)) / 2, end + rad(n), 0);
ctx.strokeStyle = colour;
ctx.stroke();
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i - rotation)) * radius, y + Math.sin(rad(90 + piv * i - rotation)) * radius, radius, stt, end - (end - stt - rad(rotation)) / 2 + rad(n), 0);
ctx.strokeStyle = colour;
ctx.stroke();
stt = end + -(rad(rot - piv)) //+rad(30);
}
}
function Draw_Spiral_Pattern(sides, radius, rotation, x, y, colour) {
var rot = Math.round((sides - 2) * 180 / sides * 2)
var piv = 360 / sides;
var stt = 0.5 * Math.PI - rad(rot) //+ rad(rotation);
var end = 0;
var n = radius / ((radius / 10) * (radius / 10)) //pixel correction for mid leaf
for (let i = 1; i < sides + 1; i++) {
end = stt + rad(rot);
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt + rad(rotation) - (stt - end) / 2, end + rad(rotation) + rad(n), 0);
ctx.strokeStyle = colour;
ctx.stroke();
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i - rotation)) * radius, y + Math.sin(rad(90 + piv * i - rotation)) * radius, radius, stt - rad(rotation), end - (end - stt) / 2 + rad(n) - rad(rotation), 0);
ctx.strokeStyle = colour;
ctx.stroke();
stt = end + -(rad(rot - piv)) //+rad(30);
}
}
function Draw_Spiral(sides, radius, rotation, x, y, colour) {
var rot = Math.round((sides - 2) * 180 / sides * 2)
var piv = 360 / sides;
var stt = 0.5 * Math.PI - rad(rot) + rad(rotation);
var end = 0;
var n = radius / ((radius / 10) * (radius / 10)) //pixel correction for mid leaf
for (let i = 1; i < sides + 1; i++) {
end = stt + rad(rot);
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt - (stt - end) / 2, end + rad(n), 0);
ctx.strokeStyle = colour;
ctx.stroke();
/*
ctx.beginPath();
ctx.arc(x + Math.cos(rad(90 + piv * i + rotation)) * radius, y + Math.sin(rad(90 + piv * i + rotation)) * radius, radius, stt, end - (end - stt) / 2 + rad(n), 0);
ctx.fillStyle = colour;
ctx.fill();
*/
stt = end + -(rad(rot - piv)) //+rad(30);
}
}
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);
}
function draw_triangle(ang, radius) {
ctx.beginPath();
ctx.moveTo(startx + Math.cos(rad(90 + 120 * 1 + ang)) * radius, starty + Math.sin(rad(90 + 120 * 1 + ang)) * radius);
ctx.lineTo(startx + Math.cos(rad(90 + 120 * 2 + ang)) * radius, starty + Math.sin(rad(90 + 120 * 2 + ang)) * radius);
ctx.lineTo(startx + Math.cos(rad(90 + 120 * 3 + ang)) * radius, starty + Math.sin(rad(90 + 120 * 3 + ang)) * radius);
ctx.lineTo(startx + Math.cos(rad(90 + 120 * 1 + ang)) * radius, starty + Math.sin(rad(90 + 120 * 1 + ang)) * radius);
ctx.strokeStyle = "red";
ctx.stroke();
}
var c = document.getElementById("myCanvas");
var ctx = c.getContext("2d");
var sides_org = 3;
var r = 300;
var deg_per_sec = 30;
var time = 120;
var fps = 60;
var rot_org = Math.round((sides_org - 2) * 180 / sides_org * 2)
var piv = 360 / sides_org;
var angle = 0;
startx = 1920 / 2//1875/2;
starty = 1080 / 2//950/2;//-(Math.tan(30*Math.PI/180)*width/2);
j = 0;
i = 0;
n_angle = 0
i_angle = 0
tmp_a = angle
//var capturer = new CCapture( { format: 'webm' } );
/*
var capturer = new CCapture( {
format: 'webm',
framerate: 60,
verbose: true
} );
*/
//capturer.start();
/*
function animate() {
requestAnimationFrame( animate );
test();
}
*/
delMe = 0
function render() {
if (i < time / (1 / fps)) {
setTimeout(() => {
render();
//requestAnimationFrame(test);
angle = j;
render_clear();
r = 400
tmpA = (Math.asin(Math.cos(rad(angle)))) / (2 * Math.PI) + .75
tmpB = Math.cos(rad(angle)) / 4 + 0.75
tmpC = Math.cos(angle * (3 * Math.PI / 180)) / 4 + 0.75
tmpD = (Math.sin(30 * Math.PI / 180)) / Math.sin((150 - (angle - 120 * Math.floor(angle / 120)) * Math.PI / 180))
fl = angle - 120 * Math.floor(angle / 120)
tmpE = 1 / (2 * Math.cos(Math.PI / 3 - (fl * Math.PI / 180)))
//console.log(tmpE)
//console.log("angle: " + angle + " tmpC: " +Math.round(tmpC * 1000) / 1000)
/*
console.log(Math.cos(0*(3*Math.PI/180))/4+0.75)
console.log(Math.cos(30*(3*Math.PI/180))/4+0.75)
console.log(Math.cos(60*(3*Math.PI/180))/4+0.75)
console.log(Math.cos(180*(3*Math.PI/180))/4+0.75)
*/
s = 400
speed_mult = 1
tmpF = 1 / (2 * Math.sin(Math.PI / 180 * (150 - angle * speed_mult + 120 * Math.floor(angle * speed_mult / 120))))
tmpAng = n_angle
fl1 = (n_angle - 2 * Math.PI / 3 * (Math.floor(3 * n_angle / (2 * Math.PI))))
t1 = Math.abs(Math.sin(Math.PI / 3 - fl1) / (2 * (Math.cos(Math.PI / 3 - fl1)) ** 2))
n_angle += 1 / (t1 + 1)
new_angle = -120 * tmpF + 120
tmpG = 1 / (2 * Math.sin(Math.PI / 180 * (150 - angle * speed_mult + 120 * Math.floor(angle * speed_mult / 120))))
//console.log("angle: " + t1 + " | fl1 : "+ fl1)
angle_accident = 120 * Math.floor(angle * speed_mult / 120)
out_angle = 0
i_angle += angle - tmp_a
tmp_a = angle
if (i_angle > 120) {
i_angle -= 120
}
if (i_angle < 60) {
out_angle = 120 / (2 * Math.cos(rad(i_angle))) - 60
}
else {
out_angle = -120 / (2 * Math.cos(2 * Math.PI / 3 - (i_angle * Math.PI / 180))) + 180
}
//console.log("angle: " + i_angle + " | out A: " + out_angle)
tmpFinal = 1 / (2 * Math.sin(Math.PI / 180 * (150 - out_angle * speed_mult + 120 * Math.floor(out_angle * speed_mult / 120))))
//console.log(400*tmpFinal-delMe)
delMe = 400 * tmpFinal
//draw_triangle(180+0,s)
//draw_triangle(180+angle*speed_mult,s*tmpF)
//draw_triangle(180+out_angle*speed_mult,s*tmpFinal)
//draw_triangle(180+new_angle*speed_mult,s*tmpG)
for (let i = 0; i < 25; i++) {
draw_triangle(180+out_angle*speed_mult*i,s*tmpFinal**i)
//draw_triangle(180+angle*speed_mult*i,s*tmpF**i)
}
height = 400
L = height / 2 * (Math.asin(Math.cos(angle * Math.PI / height)) / Math.PI) + height * 3 / 4
L2 = -(.5 * angle - height * Math.floor(angle / (height * 2))) + height
B = rad(180) - Math.asin(height * Math.sin(rad(30)) / L2)
theFinalAngle = rad(150) - B
console.log("L :" + L2 + " | B: " + B * 180 / Math.PI)
//draw_triangle(180+ (theFinalAngle*180/Math.PI) ,L)
//draw_triangle((angle-180)/2.8,tmpA*400)
//draw_shape(7,300,0,startx,starty,"red");
//draw_shape_sub(7,300,0,startx,starty,"blue");
//draw_shape_fill(5,300,angle,startx,starty,"purple");
/*
draw_shape_fill(5,300,angle,startx,starty,"purple");
draw_shape_fill(5,115,-(angle+108),startx,starty,"red");
draw_shape_fill(5,44,angle+108,startx,starty,"yellow");
draw_shape(5,300,angle,startx,starty,"red");
draw_shape(5,115,-(angle+108),startx,starty,"yellow");
draw_shape(5,44,angle+108,startx,starty,"purple");
*/
//Draw_Spiral(4,400,0,startx,starty,'red');
//Draw_Spiral_Pattern(50, 250, angle, startx, starty, 'red')
//Draw_Shape_accident(4,300,angle,startx,starty,'red')
//Draw_Spiral(10,400,-angle,startx,starty,'red');
//draw_shape(99,300,angle,startx,starty,"red");
//draw_triangle(0);
//draw_tri(angle);
//draw_test_fill(angle);
//draw_shape(5,300,angle,startx,starty);
//draw_shape(3,300,-angle,startx,starty)
//draw_shape(7,400,angle,startx,starty)
//draw_shape(6,r,-angle,startx,starty)
/*
colour1 = [137, 54, 255];
colour2 = [158, 255, 54];
ncolour = LerpRGB(colour1, colour2, Math.cos(rad(angle)));
*/
colour1 = [137, 54, 255];
colour2 = [158, 255, 54];
//Draw_nodal_expanding(2.5,100000,angle*2+33000,angle*0, colour1,colour2,0.5, 5)
//Draw_nodal_expanding(2.5,10000,angle,angle*0, colour1,colour2,0.5, 1)
//console.log(angle*2)
//draw_shape(55,300,angle,startx,starty,"pink")
//Draw_Phyllotaxis(angle/5000+1);
//draw_shape_fill(4,400,angle,startx,starty,colourToText(ncolour));
//Draw_rectangle_pattern1(angle, 180, "purple");
/*
for (let z = 0; z < 360; z+=360/45) {
Draw_rectangle_pattern1(z+angle,200,"blue");
}
*/
//capturer.capture( document.getElementById("myCanvas") );
}, (1000 / fps));
j += deg_per_sec * 1 / fps;
i += 1;
}
else {
//capturer.stop();
//capturer.save();
}
}
render()
//render_clear()
//Draw_nodal(500, 100,33)
//draw_shape_fill(5,300,angle,startx,starty,"purple");
//draw_shape_fill(5,115,angle+108,startx,starty,"red");
//draw_shape(5,300,angle,startx,starty);
//Draw_center();
function Draw_Phyllotaxis(angle) {
colour1 = [255, 170, 0];
colour2 = [255, 0, 221];
var c = 32;
for (let n = 50; n < 300; n += 1) {
ncolour = LerpRGB(colour1, colour2, Math.cos(rad(n / 2)));
var a = n * (angle)//137.5;
var r = c * Math.sqrt(n);
var x = r * Math.cos(a) + startx;
var y = r * Math.sin(a) + starty;
ctx.beginPath();
ctx.arc(x, y, 4, 0, 2 * Math.PI);
ctx.fillStyle = colourToText(ncolour);
ctx.fill();
}
}
function draw_test_fill(angle) {
ctx.beginPath();
ctx.arc(1000, 500, 300, 0, rad(angle));
ctx.fillStyle = "purple";
ctx.fill();
}
function Draw_nodal_expanding(expand, points, step, rotate, colour1, colour2, colour_change, line_width) {
var angle = 360 / points * step
var start_angle = angle;
var done = false;
var total_moves = 1;
var length = expand;
for (let z = 1; z <= 2500; z++) {
ctx.beginPath();
//ctx.moveTo(startx, starty);
ncolour = LerpRGB(colour1, colour2, Math.cos(rad(z * colour_change)));
ctx.moveTo(startx + (Math.cos(rad(angle * (z - 1) + rotate)) * (length - expand)), starty + (Math.sin(rad(angle * (z - 1) + rotate)) * (length - expand)));
ctx.lineTo(startx + (Math.cos(rad(angle * z + rotate)) * length), starty + (Math.sin(rad(angle * z + rotate)) * length));
length += expand;
ctx.lineWidth = line_width;//try 1
ctx.strokeStyle = colourToText(ncolour);
ctx.stroke();
}
}
function Draw_nodal(radius, points, step, rotate, colour) {
var angle = 360 / points * step
ctx.beginPath();
var start_angle = angle;
var done = false;
var total_moves = 1;
ctx.moveTo(startx + (Math.cos(rad(angle + rotate)) * radius), starty + (Math.sin(rad(angle + rotate)) * radius));
while (done != true) {
if ((total_moves * step) % points != 0) {
total_moves++
}
else {
total_moves++
done = true
}
}
for (let z = 1; z <= total_moves; z++) {
ctx.lineTo(startx + (Math.cos(rad(angle * z + rotate)) * radius), starty + (Math.sin(rad(angle * z + rotate)) * radius));
}
ctx.strokeStyle = colour;
ctx.stroke();
}
function Draw_rectangle_pattern1(angle, size, colour) {
ctx.save();
ctx.translate(startx, starty)//-(Math.sin(rad(angle)) *startx));
ctx.rotate(rad(angle + 180));
ctx.beginPath();
ctx.strokeStyle = colour;
ctx.rect(-size, -size, size, size);
ctx.stroke();
ctx.restore();
}
function draw_tri(angle) {
draw_shape(3, 520, angle, startx + 260, starty - 150);
draw_shape(3, 520, angle + 60, startx - 260, starty - 150);
draw_shape(3, 520, angle + 120, startx, starty + 300);
}
function Draw_center() {
ctx.beginPath();
ctx.moveTo(startx - 100, starty);
ctx.lineTo(startx + 100, starty);
ctx.moveTo(startx, starty - 100);
ctx.lineTo(startx, starty + 100);
ctx.strokeStyle = "red";
ctx.stroke();
}
</script>
</body>
</html>

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body {
height: 100vh;
min-height: 100vh;
margin: 0;
}
#mainCanvas {
width: 100%;
height: 100%;
min-height: 100vh;
background-color: black;
}

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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Document</title>
<link rel="stylesheet" href="./css/styles.css">
</head>
<body>
<canvas onload="index.js" id="mainCanvas"></canvas>
</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>

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//jshint esversion:8
i = 0;
const canvas = document.getElementById("mainCanvas");
canvas.width = canvas.clientWidth;
canvas.height = canvas.clientHeight;
var ctx = canvas.getContext("2d");
centerX = canvas.width / 2;
centerY = canvas.height / 2;
let DEBUGTools = new DebugTools(ctx, centerX, centerY);
let testPoly = new RandomPolygon(ctx, 300, centerX, centerY, 6, "crimson");
let testSquare = new Square(
ctx,
500,
centerX,
centerY,
0,
0,
0,
0,
"blueViolet",
false
);
let testCube = new Cube(
ctx,
500,
centerX,
centerY,
0,
0,
0,
0,
"blueViolet",
false
);
let testTet = new Tetrahedron(
ctx,
300,
centerX,
centerY,
0,
0,
0,
0,
"blueViolet",
false
);
let tetArray = [];
// for (let i = 0; i < 100; i++) {
// tetArray.push(
// new Tetrahedron(
// ctx,
// 300 - i * (300/100),
// centerX,
// centerY + 140,
// 0,
// 45,
// 0,
// 35.264,
// "rgb(" + (255 - i * (255/100)) + ", 0, 0)",
// false
// )
// );
// }
// testTet.rotateSetOrg(60,0,35.264);
// testTet.rotateAddY(15);
// testTet.rotateAddX(15);
// testCube.rotateSetOrg(45,0,35.264);
// testTet.globalY +=140;
// testTet.rotateAddY(15);
tetArray.push(
new Tetrahedron(
ctx,
200,
centerX,
centerY,
0,
0,
0,
0,
"rgb(255, 0, 0)",
false
)
);
tetArray.push(
new Tetrahedron(
ctx,
115,
centerX,
centerY,
0,
0,
0,
0,
"rgb(200, 0, 0)",
false
)
);
let drawStack = [];
// drawStack.push(testTet);
drawStack.push(...tetArray);
// drawStack[0].rotateAddY(30);
drawStack[1].rotateAddY(45);
drawStack[1].rotateAddX(35.264);
drawStack[1].rotateAddZ(30);
drawStack[0].rotateAddY(45);
drawStack[0].rotateAddX(35.264);
function main() {
setTimeout(() => {
main();
ctx.clearRect(0, 0, canvas.width, canvas.height);
// drawStack[1].rotateAddX(1);
// drawStack[1].rotateAddY(1);
// drawStack[1].rotateAddZ(.2);
// for (let i = 0; i < drawStack.length; i++) {
// drawStack[i].rotateAddY(0.005*(i+1));
// }
// drawStack.push(testCube);
// testTet.rotateAddX(.3);
// testTet.rotateAddY(.05);
// testTet.rotateAddZ(.5);
// testCube.rotateAddX(1);
// testCube.rotateAddY(1);
// testCube.rotateAddZ(1);
for (let i = 0; i < drawStack.length; i++) {
drawStack[i].draw();
}
DEBUGTools.drawCenter(50);
}, 1000 / 60);
}
window.onload = main;

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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;
}

460
animate 0.2/js/objects.js Normal file
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@ -0,0 +1,460 @@
// import math from "math.js";
class Cube {
constructor(ctx, width, x, y, z, rx, ry, rz, color, solid) {
this.ctx = ctx;
this.color = color;
this.width = width;
this.solid = solid;
this.maxRadius = this.width / Math.cos(degToRad(45)); //TODO trig
this.pointsOrg = [];
this.pointsOrg.push([-this.width / 2, -this.width / 2, -this.width / 2]);
this.pointsOrg.push([this.width / 2, -this.width / 2, -this.width / 2]);
this.pointsOrg.push([this.width / 2, this.width / 2, -this.width / 2]);
this.pointsOrg.push([-this.width / 2, this.width / 2, -this.width / 2]);
this.pointsOrg.push([-this.width / 2, -this.width / 2, this.width / 2]);
this.pointsOrg.push([this.width / 2, -this.width / 2, this.width / 2]);
this.pointsOrg.push([this.width / 2, this.width / 2, this.width / 2]);
this.pointsOrg.push([-this.width / 2, this.width / 2, this.width / 2]);
this.points = JSON.parse(JSON.stringify(this.pointsOrg));
this.centerX = 0;
this.centerY = 0;
this.globalX = x;
this.globalY = y;
this.globalZ = z; //might not need
this.rotX = 0;
this.rotY = 0;
this.rotZ = 0;
}
draw() {
let projPoints = [];
for (let i = 0; i < this.points.length; i++) {
projPoints.push(projectionOrth(this.points[i]));
}
if (this.solid) {
this.ctx.fillStyle = this.color;
} else {
this.ctx.strokeStyle = this.color;
}
this.ctx.beginPath();
this.ctx.moveTo(
this.globalX + projPoints[0][0],
this.globalY + projPoints[0][1]
);
for (let i = 1; i < 4; i++) {
this.ctx.lineTo(
this.globalX + projPoints[i][0],
this.globalY + projPoints[i][1]
);
}
this.ctx.lineTo(
this.globalX + projPoints[0][0],
this.globalY + projPoints[0][1]
);
this.ctx.moveTo(
this.globalX + projPoints[4][0],
this.globalY + projPoints[4][1]
);
for (let i = 5; i < 8; i++) {
this.ctx.lineTo(
this.globalX + projPoints[i][0],
this.globalY + projPoints[i][1]
);
}
this.ctx.lineTo(
this.globalX + projPoints[4][0],
this.globalY + projPoints[4][1]
);
for (let i = 0; i < 4; i++) {
this.ctx.moveTo(
this.globalX + projPoints[i][0],
this.globalY + projPoints[i][1]
);
this.ctx.lineTo(
this.globalX + projPoints[i + 4][0],
this.globalY + projPoints[i + 4][1]
);
}
if (this.solid) {
this.ctx.fill();
} else {
this.ctx.stroke();
}
}
drawCenter(x, y, width, color) {
let testLineX = new Line(
this.ctx,
[x + this.centerX - width, y + this.centerY],
[x + this.centerX + width, y + this.centerY],
color
);
let testLineY = new Line(
this.ctx,
[x + this.centerX, y + this.centerY - width],
[x + this.centerX, y + this.centerY + width],
color
);
testLineX.draw();
testLineY.draw();
}
rotateAddX(deg) {
this.rotX += deg;
for (let i = 0; i < this.points.length; i++) {
this.points[i] = rotateMatrix3dX(this.points[i], deg);
}
}
rotateAddY(deg) {
this.rotY += deg;
for (let i = 0; i < this.points.length; i++) {
this.points[i] = rotateMatrix3dY(this.points[i], deg);
}
}
rotateAddZ(deg) {
this.rotZ += deg;
for (let i = 0; i < this.points.length; i++) {
this.points[i] = rotateMatrix3dZ(this.points[i], deg);
}
console.log(this.rotZ);
}
rotateSetOrg(x, y, z) {
for (let i = 0; i < this.points.length; i++) {
this.pointsOrg[i] = rotateMatrix3dX(this.pointsOrg[i], x);
}
for (let i = 0; i < this.points.length; i++) {
this.pointsOrg[i] = rotateMatrix3dZ(this.pointsOrg[i], y);
}
for (let i = 0; i < this.points.length; i++) {
this.pointsOrg[i] = rotateMatrix3dZ(this.pointsOrg[i], z);
}
this.points = JSON.parse(JSON.stringify(this.pointsOrg));
}
}
class Tetrahedron {
constructor(ctx, width, x, y, z, rx, ry, rz, color, solid) {
this.ctx = ctx;
this.color = color;
this.width = width;
this.solid = solid;
this.maxRadius = this.width / Math.cos(degToRad(45)); //TODO trig
this.pointsOrg = [];
// this.pointsOrg.push([-1 * width, 1 * width, -1 * width]);
// this.pointsOrg.push([1 * width, 1 * width, 1 * width]);
// this.pointsOrg.push([1 * width, -1 * width, -1 * width]);
// this.pointsOrg.push([-1 * width, -1 * width, 1 * width]);
this.pointsOrg.push([1 * width, 1 * width, 1 * width]);
this.pointsOrg.push([1 * width, -1 * width, -1 * width]);
this.pointsOrg.push([-1 * width, 1 * width, -1 * width]);
this.pointsOrg.push([-1 * width, -1 * width, 1 * width]);
// this.pointsOrg.push([(8/9)^.5 * width, 0, -1/3 * width]);
// this.pointsOrg.push([-(2/9)^.5 * width, (2/3)^.5 * width, -1/3 * width]);
// this.pointsOrg.push([-(2/9)^.5 * width, -(2/3)^.5 * width, -1/3 * width]);
// this.pointsOrg.push([0,0, 1 * width]);
this.points = JSON.parse(JSON.stringify(this.pointsOrg));
this.centerX = 0;
this.centerY = 0;
this.globalX = x;
this.globalY = y;
this.rotX = 0;
this.rotY = 0;
this.rotZ = 0;
this.rotateSetOrg(rx, ry, rz);
}
draw() {
let projPoints = [];
for (let i = 0; i < this.points.length; i++) {
projPoints.push(projectionOrth(this.points[i]));
}
if (this.solid) {
this.ctx.fillStyle = this.color;
} else {
this.ctx.strokeStyle = this.color;
}
this.ctx.beginPath();
this.ctx.moveTo(
this.globalX + projPoints[0][0],
this.globalY + projPoints[0][1]
);
for (let i = 1; i < 3; i++) {
this.ctx.lineTo(
this.globalX + projPoints[i][0],
this.globalY + projPoints[i][1]
);
}
this.ctx.lineTo(
this.globalX + projPoints[0][0],
this.globalY + projPoints[0][1]
);
this.ctx.lineTo(
this.globalX + projPoints[3][0],
this.globalY + projPoints[3][1]
);
this.ctx.lineTo(
this.globalX + projPoints[1][0],
this.globalY + projPoints[1][1]
);
this.ctx.moveTo(
this.globalX + projPoints[3][0],
this.globalY + projPoints[3][1]
);
this.ctx.lineTo(
this.globalX + projPoints[2][0],
this.globalY + projPoints[2][1]
);
if (this.solid) {
this.ctx.fill();
} else {
this.ctx.stroke();
}
}
drawCenter(x, y, width, color) {
let testLineX = new Line(
this.ctx,
[x + this.centerX - width, y + this.centerY],
[x + this.centerX + width, y + this.centerY],
color
);
let testLineY = new Line(
this.ctx,
[x + this.centerX, y + this.centerY - width],
[x + this.centerX, y + this.centerY + width],
color
);
testLineX.draw();
testLineY.draw();
}
rotateAddX(deg) {
this.rotX += deg;
for (let i = 0; i < this.points.length; i++) {
this.points[i] = rotateMatrix3dX(this.points[i], deg);
}
}
rotateAddY(deg) {
this.rotY += deg;
for (let i = 0; i < this.points.length; i++) {
this.points[i] = rotateMatrix3dY(this.points[i], deg);
}
}
rotateAddZ(deg) {
this.rotZ += deg;
for (let i = 0; i < this.points.length; i++) {
this.points[i] = rotateMatrix3dZ(this.points[i], deg);
}
console.log(this.rotZ);
}
rotateSetOrg(x, y, z) {
for (let i = 0; i < this.points.length; i++) {
this.pointsOrg[i] = rotateMatrix3dX(this.pointsOrg[i], x);
}
for (let i = 0; i < this.points.length; i++) {
this.pointsOrg[i] = rotateMatrix3dZ(this.pointsOrg[i], y);
}
for (let i = 0; i < this.points.length; i++) {
this.pointsOrg[i] = rotateMatrix3dZ(this.pointsOrg[i], z);
}
this.points = JSON.parse(JSON.stringify(this.pointsOrg));
}
}
class Square {
constructor(ctx, width, x, y, color, solid) {
this.ctx = ctx;
this.color = color;
this.width = width;
this.solid = solid;
this.maxRadius = this.width / Math.cos(degToRad(45));
this.points = [];
this.points.push([-this.width / 2, -this.width / 2, 0]);
this.points.push([this.width / 2, -this.width / 2, 0]);
this.points.push([this.width / 2, this.width / 2, 0]);
this.points.push([-this.width / 2, this.width / 2, 0]);
this.centerX = 0;
this.centerY = 0;
this.globalX = x;
this.globalY = y;
}
draw() {
if (this.solid) {
this.ctx.fillStyle = this.color;
} else {
this.ctx.strokeStyle = this.color;
}
this.ctx.beginPath();
this.ctx.moveTo(
this.globalX + this.points[0][0],
this.globalY + this.points[0][1]
);
for (let i = 1; i < this.points.length; i++) {
this.ctx.lineTo(
this.globalX + this.points[i][0],
this.globalY + this.points[i][1]
);
}
this.ctx.lineTo(
this.globalX + this.points[0][0],
this.globalY + this.points[0][1]
);
if (this.solid) {
this.ctx.fill();
} else {
this.ctx.stroke();
}
}
drawCenter(x, y, width, color) {
let testLineX = new Line(
this.ctx,
[x + this.centerX - width, y + this.centerY],
[x + this.centerX + width, y + this.centerY],
color
);
let testLineY = new Line(
this.ctx,
[x + this.centerX, y + this.centerY - width],
[x + this.centerX, y + this.centerY + width],
color
);
testLineX.draw();
testLineY.draw();
}
rotateAdd(deg) {
for (let i = 0; i < this.points.length; i++) {
this.points[i] = rotateMatrix2d(this.points[i], deg);
}
}
rotateSet(deg) {}
}
class RandomPolygon {
constructor(ctx, width, x, y, sides, color) {
this.ctx = ctx;
this.color = color;
this.sides = sides;
this.width = width;
this.maxRadius = this.width / Math.cos(degToRad(45));
this.points = [];
for (let i = 0; i < sides; i++) {
const rndNumX = Math.random() * 2 - 1;
const rndNumY = Math.random() * 2 - 1;
const rndPointX = (this.width * rndNumX) / 2;
const rndPointY = (this.width * rndNumY) / 2;
this.points.push([Math.round(rndPointX), Math.round(rndPointY)]);
}
this.globalX = x;
this.globalY = y;
this.centerX;
this.centerY;
this.findCenter();
for (let i = 0; i < this.points.length; i++) {
this.points[i][0] -= this.centerX;
this.points[i][1] -= this.centerY;
}
this.findCenter();
}
draw() {
this.ctx.fillStyle = this.color;
this.ctx.beginPath();
this.ctx.moveTo(
this.globalX + this.points[0][0],
this.globalY + this.points[0][1]
);
for (let i = 1; i < this.points.length; i++) {
this.ctx.lineTo(
this.globalX + this.points[i][0],
this.globalY + this.points[i][1]
);
}
this.ctx.fill();
}
drawCenter(x, y, width, color) {
let testLineX = new Line(
this.ctx,
[x + this.centerX - width, y + this.centerY],
[x + this.centerX + width, y + this.centerY],
color
);
let testLineY = new Line(
this.ctx,
[x + this.centerX, y + this.centerY - width],
[x + this.centerX, y + this.centerY + width],
color
);
testLineX.draw();
testLineY.draw();
}
findCenter() {
let xTot = 0;
let yTot = 0;
for (let i = 0; i < this.points.length; i++) {
xTot += this.points[i][0];
yTot += this.points[i][1];
}
this.centerX = xTot / this.points.length;
this.centerY = yTot / this.points.length;
}
}
class Line {
constructor(ctx, p1, p2, color) {
this.ctx = ctx;
this.p1 = p1;
this.p2 = p2;
this.color = color;
}
draw() {
this.ctx.strokeStyle = this.color;
this.ctx.beginPath();
this.ctx.moveTo(this.p1[0], this.p1[1]);
this.ctx.lineTo(this.p2[0], this.p2[1]);
this.ctx.closePath();
this.ctx.stroke();
}
}
class DebugTools {
constructor(ctx, centerX, centerY) {
this.ctx = ctx;
this.centerX = centerX;
this.centerY = centerY;
}
drawCenter(width) {
let centerLineX = new Line(
this.ctx,
[this.centerX - width, this.centerY],
[this.centerX + width, this.centerY],
"orange"
);
let centerLineY = new Line(
this.ctx,
[this.centerX, this.centerY - width],
[this.centerX, this.centerY + width],
"orange"
);
centerLineX.draw();
centerLineY.draw();
}
}