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final.html
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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>3D-Representation</title>
</head>
<body>
<style>
button {
display: inline-block;
cursor: pointer;
text-align: center;
text-decoration: none;
outline: none;
color: #fff;
background-color: #4CAF50;
border: none;
border-radius: 15px;
width: 70%;
margin-top: 10px;
margin-left: 15%;
margin-right: 15%;
box-shadow: 0 3px #999;
}
button:hover {
background-color: #3e8e41
}
button:active {
background-color: #3e8e41;
box-shadow: 0 5px #666;
transform: translateY(4px);
}
.dropdown {
position: relative;
display: inline-block;
}
.dropdown-content {
font-size: small;
display: none;
position: absolute;
background-color: #f9f9f9;
width: 200px;
height: 400x;
box-shadow: 0px 8px 16px 0px rgba(0, 0, 0, 0.2);
padding: 12px 16px;
z-index: 1;
right: 0;
overflow: scroll;
}
.dropdown:hover .dropdown-content {
display: block;
}
#drop {
font-size: xx-large;
width: 30px;
height: 50px;
border: 3px solid blue;
}
</style>
<canvas id="maincanvas"></canvas>
<div class="dropdown" id="drop">
<span>  ⟨</span>
<div class="dropdown-content">
<form>
Rotate X*:<br/>
<input id="rotx" type="number" value=0><br/> Rotate Y*:<br/>
<input id="roty" type="number" value="0"><br/> Rotate Z*:<br/>
<input id="rotz" type="number" value="0"><br/> Translate X*:<br/>
<input id="transx" type="number" value="0"><br/> Translate Y*:<br/>
<input id="transy" type="number" value="0"><br/> Translate Z*:<br/>
<input id="transz" type=" number" value="0"><br/>Scale X*:<br/>
<input id="scalex" type="number" value="1"><br/>Scale Y*:<br/>
<input id="scaley" type="number" value="1"><br/>Scale Z*:<br/>
<input id="scalez" type="number" value="1"><br/>Angle:<br/>
<input id="angle" type="number" value="45"><br/> Near Z:<br/>
<input id="nearz" type="number" value="1"><br/> Far Z:<br/>
<input id="farz" type="number" value="10"><br/>
<button id="save">Save</button>
<p>*Values that need to be saved upon editing.</p>
</form>
</div>
</div>
<script>
(function() {
"use strict"
var brotX = document.getElementById("rotx")
var brotY = document.getElementById("roty")
var brotZ = document.getElementById("rotz")
var btransX = document.getElementById("transx")
var btransY = document.getElementById("transy")
var btransZ = document.getElementById("transz")
var bscaleX = document.getElementById("scalex")
var bscaleY = document.getElementById("scaley")
var bscaleZ = document.getElementById("scalez")
var bangle = document.getElementById("angle")
var bnearZ = document.getElementById("nearz")
var bfarZ = document.getElementById("farz")
var save = document.getElementById("save")
//Default values
var brX = 0,
brY = 0,
brZ = 0,
btX = 0,
btY = 0,
btZ = 0,
bSx = 1,
bSy = 1,
bSz = 1,
bAng = 45,
bNz = 1,
bFz = 10;
var canvas = document.getElementById("maincanvas"),
ctx = canvas.getContext("2d"),
width = (window.innerWidth - 100),
height = (window.innerHeight - 100),
ar = width / height,
dropdown = document.getElementById("drop"),
canvas_object = {
"Canvas": [],
"Canvas_Num": 0
};
dropdown.style.top = `${Math.round(-height+25)}px`
function deepCopy(val) {
let res = JSON.parse(JSON.stringify(val))
if (typeof(structuredClone) == "function") {
res = structuredClone(val)
}
return res
}
var DrawnObjectsList = [
[
[100, 600],
[100, 200],
[4, 6], 1, 1, 1
],
[
[100, 200],
[100, 200],
[6, 24], 1, 1, 1
],
[
[300, 400],
[100, 200],
[6, 24], 1, 1, 1
],
[
[500, 600],
[100, 200],
[6, 24], 1, 1, 1
],
[
[100, 600],
[100, 200],
[24, 26], 1, 1, 1
],
[
[100, 200],
[200, 600],
[4, 6], 1, 1, 1
],
[
[500, 600],
[200, 600],
[4, 6], 1, 1, 1
],
[
[100, 200],
[200, 600],
[24, 26], 1, 1, 1
],
[
[500, 600],
[200, 600],
[24, 26], 1, 1, 1
],
],
DrawnObjectsDict = {}
/* Instance Counter */
class Counter {
constructor() {
this.counter = -1;
}
change(value) {
this.counter = value;
return this
}
add() {
this.counter++;
return this
}
subtract() {
this.counter--;
return this
}
value() {
return this.counter;
}
}
class ArrOp {
constructor() {}
createArray(length) {
var arr = new Array(length || 0),
i = length;
if (arguments.length > 1) {
var args = Array.prototype.slice.call(arguments, 1)
while (i--) arr[length - 1 - i] = this.createArray.apply(this, args)
}
return arr
}
modArr(ret, arr, shape) {
if (shape[0] == 1) {
for (let index in arr) {
ret[0][index] = arr[index]
}
return ret
} else if (shape[1] == 1) {
for (let index in arr) {
ret[index][0] = arr[index]
}
return ret
} else return arr
}
unModArr(ret, arr, shape) {
if (shape[0] == 1) {
for (let index in arr[0]) {
ret[index] = arr[0][index]
}
return ret
} else if (shape[1] == 1) {
for (let index in arr) {
ret[index] = arr[index][0]
}
return ret
} else return arr
}
}
/*
2 x 2 Array
Array.from(Array(2), () => new Array(4))
*/
class TransfMat {
constructor() {
this.mode = "deg"
}
changeMode(mode) {
this.mode = mode
return this
}
runMode(angle) {
if (this.mode === "deg") {
return (Math.PI / 180) * angle;
} else if (this.mode === "rad") {
return angle
}
}
getIndex(a, b, val) {
return (a * val) + b
}
rotMat2d(angle) {
angle = this.runMode(angle)
return [
[Math.cos(angle), -1 * Math.sin(angle), 0],
[Math.sin(angle), Math.cos(angle, 0), 0]
]
}
// Pitch
rotX(angle) {
angle = this.runMode(angle)
return [
[1, 0, 0],
[0, Math.cos(angle), Math.sin(angle)],
[0, -Math.sin(angle), Math.cos(angle)]
]
}
// Yaw
rotY(angle) {
angle = this.runMode(angle)
return [
[Math.cos(angle), 0, -Math.sin(angle)],
[0, 1, 0],
[Math.sin(angle), 0, Math.cos(angle)]
]
}
//Roll
rotZ(angle) {
angle = this.runMode(angle)
return [
[Math.cos(angle), -Math.sin(angle), 0],
[Math.sin(angle), Math.cos(angle), 0],
[0, 0, 1]
]
}
translMat2d(x, y) {
return [
[1, 0, x],
[0, 1, y],
[0, 0, 1]
]
}
transl3d(x, y, z) {
return [
[1, 0, 0, x],
[0, 1, 0, y],
[0, 0, 1, z],
[0, 0, 0, 1]
]
}
scale3dim(x, y, z) {
return [
[x, 0, 0, 0],
[0, y, 0, 0],
[0, 0, z, 0],
[0, 0, 0, 1]
]
}
refMat2d(param) {
if (param == "x") {
return [
[1, 0, 0],
[0, -1, 0],
[0, 0, 1]
]
}
if (param == "y") {
return [
[-1, 0, 0],
[0, 1, 0],
[0, 0, 1]
]
}
if (param == "y=x") {
return [
[0, 1, 0],
[1, 0, 0],
[0, 0, 1]
]
}
if (param == "y=-x") {
return [
[0, -1, 0],
[-1, 0, 0],
[0, 0, 1]
]
}
if (param == "o") {
return [
[-1, 0, 0],
[0, -1, 0],
[0, 0, 1]
]
} else return [
[1, 0, 0],
[0, 1, 0],
[0, 0, 1]
]
}
scaleMat2d(x, y) {
return [
[x, 0, 0],
[0, y, 0],
[0, 0, 1]
]
}
shearMat(angle, x, y) {
angle = this.runMode(angle)
return [
[1, Math.tan(angle), 0],
[Math.tan(angle), 1, 0],
[0, 0, 1]
]
}
matMult(matA, matB, matC, shapeA, shapeB) {
if ((shapeA[1] == shapeB[0]) && shapeA[1] > 0) {
for (let i = 0; i < shapeA[0]; i++) {
for (let j = 0; j < shapeB[1]; j++) {
let sum = 0
for (let k = 0; k < shapeB[0]; k++) {
sum += matA[i][k] * matB[k][j]
}
matC[i][j] = sum
}
}
}
return matC
}
}
class CoordinateSpace {
constructor() {}
LtoR(arr, helper, param, val, arrop, transfMat) {
let res = helper.reflect(arr, param, arrop, transfMat),
ret = helper.translate(res, val, arrop, transfMat)
return ret
}
RtoL(arr, helper, param, val, arrop, transfMat) {
let res = helper.translate(arr, val, arrop, transfMat)
let ret = helper.reflect(res, param, arrop, transfMat)
return ret
}
}
class CoordinateSpaceHelper {
constructor() {
this.tfS = [3, 3]
this.hS = [3, 1]
}
reflect(arr, param, arrop, transfMat) {
let index = 0,
matC = arrop.createArray(3, 1),
refArr = arrop.createArray(3, 1),
modarrSpace = arrop.createArray(3, 1),
unmodarrSpace = arrop.createArray(3, 1)
for (let n in arr) {
let modarr = arrop.modArr(deepCopy(modarrSpace), arr[n], this.hS)
let unmodarr = transfMat.matMult(transfMat.refMat2d(90, param), modarr, matC, this.tfS, this.hS)
refArr[index] = arrop.unModArr(deepCopy(unmodarrSpace), unmodarr, this.hS)
index++
}
return refArr
}
translate(arr, val, arrop, transfMat) {
let index = 0,
matC = arrop.createArray(3, 1),
translArr = arrop.createArray(3, 1),
modarrSpace = arrop.createArray(3, 1),
unmodarrSpace = arrop.createArray(3, 1)
for (let n in arr) {
let modarr = arrop.modArr(deepCopy(modarrSpace), arr[n], this.hS)
let unmodarr = transfMat.matMult(transfMat.translMat2d(0, val), modarr, matC, this.tfS, this.hS)
translArr[index] = arrop.unModArr(deepCopy(unmodarrSpace), unmodarr, this.hS)
index++
}
return translArr
}
}
class DrawCanvas {
constructor(instance_func, instance_object) {
let instance = instance_func.value()
instance_object.Canvas[instance] = {
"objects": 0
}
instance_object.Canvas_Num = instance + 1
}
drawCanvas(canvas, canvWidth, color, width, height, opacity) {
canvas.style.borderStyle = 'solid';
canvas.style.borderWidth = canvWidth;
canvas.style.borderColor = color;
canvas.style.opacity = opacity;
canvas.width = width;
canvas.height = height;
}
}
class DrawBoxes {
constructor() {}
calc3dArray(arrX, arrY, arrZ, subDx, subDy, subDz) {
let pointArr = [
[]
]
let i = 0
for (let x = 0; x <= subDx; x++) {
let compX = (((arrX[1] - arrX[0]) / subDx) * x) + arrX[0]
for (let y = 0; y <= subDy; y++) {
let compY = (((arrY[1] - arrY[0]) / subDy) * y) + arrY[0]
for (let z = 0; z <= subDz; z++) {
let compZ = (((arrZ[1] - arrZ[0]) / subDz) * z) + arrZ[0]
pointArr[i] = [compX, compY, compZ]
i++
}
}
}
return [pointArr, subDx * subDy * subDz, pointArr.length]
}
drawBoxes(arr, subVal, fill) {
for (let i = 0; i < subVal; i++) {
let offset = 8 * i,
A = [0 + offset, 4 + offset],
B = [0 + offset, 1 + offset],
C = [0 + offset, 2 + offset]
ctx.fillStyle = fill
for (i of A) {
ctx.fillRect(arr[i][0], arr[i][1], arr[i + 1][0] - arr[i][0], arr[i + 2][1] - arr[i][1])
}
for (i of B) {
ctx.fillRect(arr[i][0], arr[i][1], arr[i + 4][0] - arr[i][0], arr[i + 2][1] - arr[i][1])
}
for (i of C) {
ctx.fillRect(arr[i][0], arr[i][1], arr[i + 4][0] - arr[i][0], arr[i + 1][1] - arr[i][1])
}
}
}
drawPoints(arr) {
let colors = ["red", "brown", "blue", "yellow", "green", "purple", "black", "gray"],
index = 0
for (let i of arr) {
ctx.beginPath()
ctx.arc(i[0], i[1], 5, 0, 2 * Math.PI);
ctx.fillStyle = colors[index]
ctx.fill();
index++
}
}
drawFaces(arr) {
ctx.fillStyle = "black"
ctx.lineWidth = 1
let guide = [
[0, 1, 3, 2],
[4, 5, 7, 6],
[0, 4, 6, 2],
[1, 5, 7, 3],
[0, 4, 5, 1],
[3, 7, 6, 2]
]
ctx.lineWidth = 1
ctx.strokeStyle = "black"
for (let i in guide) {
ctx.beginPath()
for (let j in guide[i]) {
let len = guide[i].length
if (j == len - 1) {
let a = Number(i),
b = Number(j)
ctx.moveTo(arr[guide[a][b]][0], arr[guide[a][b]][1])
ctx.lineTo(arr[guide[a][0]][0], arr[guide[a][0]][1])
ctx.stroke()
} else {
let a = Number(i),
b = Number(j)
ctx.moveTo(arr[guide[a][b]][0], arr[guide[a][b]][1])
ctx.lineTo(arr[guide[a][b + 1]][0], arr[guide[a][b + 1]][1])
ctx.stroke()
}
}
//ctx.fillRect(arr[guide[i][0]][0], arr[guide[i][0]][1], arr[guide[i][3]][0], arr[guide[i][3]][1])
}
}
}
class DrawCircle {
constructor(radius) {
this.r = radius
}
drawCircle(x, y) {
ctx.beginPath();
ctx.arc(x, y, this.r, 0, 2 * Math.PI);
ctx.stroke();
}
}
class Clip {
constructor() {}
clip(arr, w, h, ar) {
let x = arr[0],
y = arr[1],
halfx = w / 2,
halfy = h / 2,
retx = ((x - halfx) / halfx),
rety = (y - halfy) / halfy
return [retx, rety, arr[2]]
}
unClip(arr, w, h, ar) {
let x = arr[0],
y = arr[1],
halfx = w / 2,
halfy = h / 2,
retx = ((x) * halfx) + halfx,
rety = (y * halfy) + halfy
return [retx, rety, arr[2]]
}
runClip(mode, arr, width, height, ar) {
let d = 0
let clipArr = []
if (mode == "clip") {
for (let i of arr) {
clipArr[d] = this.clip(i, width, height, ar)
d++
}
return clipArr
} else if (mode = "unclip") {
for (let i of arr) {
clipArr[d] = this.unClip(i, width, height, ar)
d++
}
return clipArr
} else return arr
}
}
class Project {
constructor(n, f, fov, ar) {
this.f = f
this.n = n
this.w = 1
this.fov = fov
this.ar = 1 / ar
this.d = 1 / (Math.tan((this.fov / 2) * (Math.PI / 180)))
this.projectionMatrix = [
[this.d * this.ar, 0, 0, 0],
[0, this.d, 0, 0],
[0, 0, (-this.n - this.f) / (this.n - this.f), (2 * this.f * this.n) / (this.n - this.f)],
[0, 0, 1, 0]
]
this.projMatShp = [4, 4]
this.HomoVecShp = [4, 1]
}
changeW(val) {
this.w = val
return this
}
project(arr, arrop) {
let res = [arr[0], arr[1], arr[2], this.w]
let modArr = arrop.createArray(this.HomoVecShp[0], this.HomoVecShp[1])
return arrop.modArr(modArr, res, this.HomoVecShp)
}
runProject(arr, arrsize, arrop, transfMat) {
let resultArr = arrop.createArray(arrsize, 4),
modArr = arrop.createArray(this.HomoVecShp[0], this.HomoVecShp[1]),
index = 0,
storeArr = arrop.createArray(arrsize, 4)
for (let i of arr) {
let matC = arrop.createArray(this.HomoVecShp[0], this.HomoVecShp[1])
let val = this.project(deepCopy(i), arrop)
storeArr[index] = deepCopy(val[2])
let ret = transfMat.matMult(this.projectionMatrix, val, matC, this.projMatShp, this.HomoVecShp)
resultArr[index] = arrop.unModArr(deepCopy(modArr), [
[ret[0] / ret[3]],
[ret[1] / ret[3]],
[ret[2] / ret[3]],
[ret[3] / ret[3]]
], this.HomoVecShp)
index++
}
return resultArr
}
finalizeArr(arr, arrop, arrsize) {
let retArr = arrop.createArray(arrsize, 2)
for (let i in arr) {
retArr[i][0] = deepCopy(arr[i][0])
retArr[i][1] = deepCopy(arr[i][1])
}
return retArr
}
}
class Object {
constructor(width, height, box, cl, pr, cH, cS, arrX, arrY, arrZ, subDx, subDy, subDz, ar) {
this.tfS = [3, 3]
this.hS = [3, 1]
this.width = width
this.height = height
this.ar = ar
this.cl = cl
this.pr = pr
this.cH = cH
this.cS = cS
this.box = box
this.arr = box.calc3dArray(arrX, arrY, arrZ, subDx, subDy, subDz)
this.ret = deepCopy(this.arr)
this.runObject(this.arr)
this.render()
return this
}
rotate(arrop, tf, angleX, angleY, angleZ) {
let matC = arrop.createArray(3, 1),
matSpace = arrop.createArray(3, 1),
arr = deepCopy(this.arr)
for (let i in arr[0]) {
let modarr = arrop.modArr(deepCopy(matSpace), arr[0][i], [3, 1])
let x = tf.matMult(tf.rotX(angleX), modarr, deepCopy(matC), this.tfS, this.hS)
let y = tf.matMult(tf.rotY(angleY), x, deepCopy(matC), this.tfS, this.hS)
let z = tf.matMult(tf.rotZ(angleZ), y, deepCopy(matC), this.tfS, this.hS)
arr[0][i] = arrop.unModArr(deepCopy(matSpace), z, [3, 1])
}
return arr
}
translate(arrop, tf, offsetX, offsetY, offsetZ) {
let matC = arrop.createArray(4, 1),
matSpace = arrop.createArray(4, 1),
arr = deepCopy(this.arr)
for (let i in arr[0]) {
let modArr = arrop.modArr(deepCopy(matSpace), arr[0][i], [4, 1])
modArr[3] = [1]
let res = tf.matMult(tf.transl3d(offsetX, offsetY, offsetZ), modArr, deepCopy(matC), [4, 4], [4, 1]),
ret = arrop.unModArr(deepCopy(matSpace), res, [4, 1])
ret.pop()
arr[0][i] = ret
}
return arr
}
scale(arrop, tf, sX, sY, sZ) {
let matC = arrop.createArray(4, 1),
matSpace = arrop.createArray(4, 1),
arr = deepCopy(this.arr)
for (let i in arr[0]) {
let modArr = arrop.modArr(deepCopy(matSpace), arr[0][i], [4, 1])
modArr[3] = [1]
let res = tf.matMult(tf.scale3dim(sX, sY, sZ), modArr, deepCopy(matC), [4, 4], [4, 1]),
ret = arrop.unModArr(deepCopy(matSpace), res, [4, 1])
ret.pop()
arr[0][i] = ret
}
return arr
}
runObject(arr) {
let arrVal = arr[0],
arrSubd = arr[1],
arrSize = arr[2],
cliparr = this.cl.runClip("clip", arrVal, this.width, this.height, this.ar),
projArr = this.pr.runProject(cliparr, arrSize, arrOp, tf),
uncliparr = this.cl.runClip("unclip", projArr, this.width, this.height, this.ar),
fn = this.pr.finalizeArr(uncliparr, arrOp, arrSize)
this.ret = deepCopy(fn)
//return fn
}
render() {
this.box.drawFaces(this.ret)
this.box.drawPoints(this.ret)
}
}
let canvasC = new Counter(),
drawcanvas = new DrawCanvas(canvasC.add(), canvas_object),
tf = new TransfMat(),
arrOp = new ArrOp()
drawcanvas.drawCanvas(canvas, 1, "black", width, height, 0.8)
function initiate(near, far, angle_of_view, aspect_ratio) {
ctx.clearRect(0, 0, width, height)
let cl = new Clip(),
pr = new Project(near, far, angle_of_view, aspect_ratio),
cH = new CoordinateSpaceHelper(),
cS = new CoordinateSpace(),
box = new DrawBoxes()
for (let i in DrawnObjectsList) {
let arr = DrawnObjectsList[i],
arrX = arr[0],
arrY = arr[1],
arrZ = arr[2],
subDx = arr[3],
subDy = arr[4],
subDz = arr[5]
DrawnObjectsDict[`Object_${i}`] = new Object(width, height, box, cl, pr, cH, cS, arrX, arrY, arrZ, subDx, subDy, subDz, ar)
DrawnObjectsDict[`Object_${i}`]
DrawnObjectsDict[`Object_${i}_arr`] = DrawnObjectsDict[`Object_${i}`].arr
}
}
function rot(x, y, z) {
ctx.clearRect(0, 0, width, height)
for (let i in DrawnObjectsList) {
let inst = DrawnObjectsDict[`Object_${i}`]
let arr = inst.arr[0],
ret = inst.ret,
rot = inst.rotate(arrOp, tf, x, y, z)
DrawnObjectsDict[`Object_${i}_arr`] = rot
inst.runObject(rot)
inst.render()
}
}
function trans(x, y, z) {
ctx.clearRect(0, 0, width, height)
for (let i in DrawnObjectsList) {
let inst = DrawnObjectsDict[`Object_${i}`]
let arr = inst.arr[0],
ret = inst.ret,
trans = inst.translate(arrOp, tf, x, y, z)
DrawnObjectsDict[`Object_${i}_arr`] = trans
inst.runObject(trans)
inst.render()
}
}
function scale(x, y, z) {
ctx.clearRect(0, 0, width, height)
for (let i in DrawnObjectsList) {
let inst = DrawnObjectsDict[`Object_${i}`]
let arr = inst.arr[0],
ret = inst.ret,
scal = inst.scale(arrOp, tf, x, y, z)
DrawnObjectsDict[`Object_${i}_arr`] = scal
inst.runObject(scal)
inst.render()
}
}
initiate(bNz, bFz, bAng, ar)
function initial() {
brX = 0
brY = 0
brZ = 0
btX = 0
btY = 0
btZ = 0
bSx = 1
bSy = 1
bSz = 1
}
brotX.oninput = function() {
brX = Number(brotX.value)
rot(brX, brY, brZ)
}
brotY.oninput = function() {
brY = Number(brotY.value)
rot(brX, brY, brZ)
console.log(brZ)
}
brotZ.oninput = function() {
brZ = Number(brotZ.value)
rot(brX, brY, brZ)
}
btransX.oninput = function() {
btX = Number(btransX.value)
trans(btX, btY, btZ)
}
btransY.oninput = function() {
btY = Number(btransY.value)
trans(btX, btY, btZ)
}
btransZ.oninput = function() {
btZ = Number(btransZ.value)
trans(btX, btY, btZ)
}
bscaleX.oninput = function() {
bSx = Number(bscaleX.value)
scale(bSx, bSy, bSz)
}
bscaleY.oninput = function() {
bSy = Number(bscaleY.value)
scale(bSx, bSy, bSz)
}
bscaleZ.oninput = function() {
bSz = Number(bscaleZ.value)
scale(bSx, bSy, bSz)
}
bangle.oninput = function() {
bAng = Number(bangle.value)
initiate(bNz, bFz, bAng, ar)
}
bnearZ.oninput = function() {
bNz = Number(bnearZ.value)
initiate(bNz, bFz, bAng, ar)
}
bfarZ.oninput = function() {
bFz = Number(bfarZ.value)
initiate(bNz, bFz, bAng, ar)
}
window.ondblclick = function() {
for (let i in DrawnObjectsList) {
console.log(DrawnObjectsDict[`Object_${i}_arr`])
console.log(DrawnObjectsDict[`Object_${i}`].arr)
}
}
save.onclick = function() {
for (let i in DrawnObjectsList) {
DrawnObjectsDict[`Object_${i}`].arr = DrawnObjectsDict[`Object_${i}_arr`]
}
}
window.onresize = function() {
width = (window.innerWidth - 100),
height = (window.innerHeight - 100),
ar = width / height
dropdown.style.top = `${Math.round(-height+25)}px`
drawcanvas.drawCanvas(canvas, 1, "black", width, height, 0.8)
initiate(bNz, bFz, bAng, ar)
}
}())
</script>
</body>
</html>