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main.js
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///////////////////////////////////////////////////////////////////////
/////////////// Basic functions //////////////////////////////////////
function setCanvas(element){
elem=element;
svg = document.createElementNS("http://www.w3.org/2000/svg", "svg");
svg.setAttributeNS(null, "width", "100%");
svg.setAttributeNS(null, "height", "100%");
//for definitions like gradients and filters
defs=document.createElementNS("http://www.w3.org/2000/svg", "defs");
svg.appendChild(defs);
console.log(defs);
elem.appendChild(svg);
WIDTH =svg.clientWidth;
HEIGHT =svg.clientHeight;
}
///////////////////////////////////////////////////////////////////////
/////////////// CONSTANTS /////////////////////////////////////////////
const PI = Math.PI;
const TAU = 2 * Math.PI;
const HALF_PI = Math.PI / 2;
const QUARTER_PI = Math.PI / 4;
const THIRD_PI = Math.PI / 3;
const PHI = (1 + Math.sqrt(5)) / 2;
const E = Math.E;
///////////////////////////////////////////////////////////////////////
///////////////////Random and Scaling functions //////////////////////////////////
function random(a,b){
return Math.random()*(b-a)+a;
}
function randomInt(a,b){
return Math.floor(Math.random()*(b-a)+a);
}
function randomBool(){
return Math.random()>0.5;
}
function randomElement(array) {
return array[Math.floor(Math.random() * array.length)];
}
function randomColorRGB(){
return "rgb("+randomInt(0,255)+","+randomInt(0,255)+","+randomInt(0,255)+")";
}
function randomColorRGBA() {
return "rgba("+randomInt(0,255)+","+randomInt(0,255)+","+randomInt(0,255)+","+random(0,1)+")";
}
function randomColorHex(){
return "#"+randomInt(0,255).toString(16)+randomInt(0,255).toString(16)+randomInt(0,255).toString(16);
}
function randomColorHSL(){
return "hsl("+randomInt(0,360)+","+randomInt(0,100)+"%,"+randomInt(0,100)+"%)";
}
function randomColorHSLA() {
return "hsla("+randomInt(0,360)+","+randomInt(0,100)+"%,"+randomInt(0,100)+"%,"+random(0,1)+")";
}
function clamp(e,a,b){ //constrain value of e between a and b
return Math.min(Math.max(e,a),b);
}
function randomGaussian(mean, stdev) {
var y1, x1, x2, w;
do {
x1 = 2.0 * Math.random() - 1.0;
x2 = 2.0 * Math.random() - 1.0;
w = x1 * x1 + x2 * x2;
} while (w >= 1.0);
return mean + stdev * x1 * Math.sqrt(-2.0 * Math.log(w) / w);
}
///////////////////////////////////////////////////////////////////////////////
////////////////////// CIRCLE ///////////////////////////////////////////////
class circle {
constructor(cx, cy, r, fill,fill_opacity, stroke,stroke_width) {
this.cx = cx;
this.cy = cy;
this.r = r;
this.fill = fill;
this.stroke = stroke;
this.stroke_width = stroke_width;
this.fill_opacity = fill_opacity;
this.circle = document.createElementNS("http://www.w3.org/2000/svg", "circle");
this.circle.setAttributeNS(null, "cx", this.cx);
this.circle.setAttributeNS(null, "cy", this.cy);
this.circle.setAttributeNS(null, "r", this.r);
this.circle.setAttributeNS(null, "fill", this.fill);
this.circle.setAttributeNS(null, "stroke", this.stroke);
this.circle.setAttributeNS(null, "stroke-width", this.stroke_width);
this.circle.setAttributeNS(null, "fill-opacity", this.fill_opacity);
svg.appendChild(this.circle);
return this;
}
}
///////////////////////////////////////////////////////////////////////////////
////////////////////// ELLIPSE ///////////////////////////////////////////////
class ellipse{
constructor(cx, cy, rx, ry, fill,fill_opacity, stroke,stroke_width) {
this.cx = cx;
this.cy = cy;
this.rx = rx;
this.ry = ry;
this.fill = fill;
this.stroke = stroke;
this.stroke_width = stroke_width;
this.fill_opacity = fill_opacity;
this.ellipse = document.createElementNS("http://www.w3.org/2000/svg", "ellipse");
this.ellipse.setAttributeNS(null, "cx", this.cx);
this.ellipse.setAttributeNS(null, "cy", this.cy);
this.ellipse.setAttributeNS(null, "rx", this.rx);
this.ellipse.setAttributeNS(null, "ry", this.ry);
this.ellipse.setAttributeNS(null, "fill", this.fill);
this.ellipse.setAttributeNS(null, "stroke", this.stroke);
this.ellipse.setAttributeNS(null, "stroke-width", this.stroke_width);
this.ellipse.setAttributeNS(null, "fill-opacity", this.fill_opacity);
svg.appendChild(this.ellipse);
return this;
}
}
///////////////////////////////////////////////////////////////////////////////
////////////////////// RECTANGLE ///////////////////////////////////////////////
class rect{
constructor(x, y, width, height, fill,fill_opacity, stroke,stroke_width, anchor="top-left", border_radius=0) {
this.x=x;
this.y=y;
this.width=width;
this.height=height;
this.fill=fill;
this.stroke=stroke;
this.stroke_width=stroke_width;
this.fill_opacity=fill_opacity;
this.anchor=anchor;
this.border_radius=border_radius;
this.rect = document.createElementNS("http://www.w3.org/2000/svg", "rect");
this.rect.setAttributeNS(null, "fill", this.fill);
this.rect.setAttributeNS(null, "stroke", this.stroke);
this.rect.setAttributeNS(null, "stroke-width", this.stroke_width);
this.rect.setAttributeNS(null, "fill-opacity", this.fill_opacity);
this.rect.setAttributeNS(null, "rx", this.border_radius);
this.rect.setAttributeNS(null, "ry", this.border_radius);
switch(anchor){
case "center":
this.rect.setAttributeNS(null, "x", this.x-this.width/2);
this.rect.setAttributeNS(null, "y", this.y-this.height/2);
this.rect.setAttributeNS(null, "width", this.width);
this.rect.setAttributeNS(null, "height", this.height);
break;
case "top-left":
this.rect.setAttributeNS(null, "x", this.x);
this.rect.setAttributeNS(null, "y", this.y);
this.rect.setAttributeNS(null, "width", this.width);
this.rect.setAttributeNS(null, "height", this.height);
break;
case "top-right":
this.rect.setAttributeNS(null, "x", this.x-this.width);
this.rect.setAttributeNS(null, "y", this.y);
this.rect.setAttributeNS(null, "width", this.width);
this.rect.setAttributeNS(null, "height", this.height);
break;
case "bottom-left":
this.rect.setAttributeNS(null, "x", this.x);
this.rect.setAttributeNS(null, "y", this.y-this.height);
this.rect.setAttributeNS(null, "width", this.width);
this.rect.setAttributeNS(null, "height", this.height);
break;
case "bottom-right":
this.rect.setAttributeNS(null, "x", this.x-this.width);
this.rect.setAttributeNS(null, "y", this.y-this.height);
this.rect.setAttributeNS(null, "width", this.width);
this.rect.setAttributeNS(null, "height", this.height);
break;
}
svg.appendChild(this.rect);
return this;
}
}
///////////////////////////////////////////////////////////////////////////////
////////////////////// POINT ///////////////////////////////////////////////
class point{
constructor(x, y, stroke,stroke_width) {
this.x = x;
this.y = y;
this.stroke = stroke;
this.stroke_width = stroke_width;
this.point = document.createElementNS("http://www.w3.org/2000/svg", "circle");
this.point.setAttributeNS(null, "cx", this.x);
this.point.setAttributeNS(null, "cy", this.y);
this.point.setAttributeNS(null, "r", this.stroke_width/2);
this.point.setAttributeNS(null, "stroke", this.stroke);
this.point.setAttributeNS(null, "stroke-width", this.stroke_width);
svg.appendChild(this.point);
return this;
}
}
///////////////////////////////////////////////////////////////////////////////
////////////////////// LINE ///////////////////////////////////////////////
class line{
constructor(x1, y1, x2, y2, stroke,stroke_width, linecap="butt", dasharray="") {
this.x1 = x1;
this.y1 = y1;
this.x2 = x2;
this.y2 = y2;
this.stroke = stroke;
this.stroke_width = stroke_width;
this.dasharray = dasharray;
this.linecap = linecap;
this.line = document.createElementNS("http://www.w3.org/2000/svg", "line");
this.line.setAttributeNS(null, "x1", this.x1);
this.line.setAttributeNS(null, "y1", this.y1);
this.line.setAttributeNS(null, "x2", this.x2);
this.line.setAttributeNS(null, "y2", this.y2);
this.line.setAttributeNS(null, "stroke", this.stroke);
this.line.setAttributeNS(null, "stroke-width", this.stroke_width);
this.line.setAttributeNS(null, "stroke-dasharray", this.dasharray);
this.line.setAttributeNS(null, "stroke-linecap", this.linecap);
svg.appendChild(this.line);
return this;
}
}
///////////////////////////////////////////////////////////////////////////////
///////////////////// REGULAR POLYGON ///////////////////////////////////////////////////
class regpolygon{
constructor(x,y,radius,sides,rotation,fill,fill_opacity,stroke,stroke_width) {
this.x = x;
this.y = y;
this.radius = radius;
this.sides = sides;
this.rotation = rotation;
this.stroke = stroke;
this.stroke_width = stroke_width;
this.fill = fill;
this.fill_opacity = fill_opacity;
this.regpolygon = document.createElementNS("http://www.w3.org/2000/svg", "polygon");
this.regpolygon.setAttributeNS(null, "points", this.points());
this.regpolygon.setAttributeNS(null, "stroke", this.stroke);
this.regpolygon.setAttributeNS(null, "stroke-width", this.stroke_width);
this.regpolygon.setAttributeNS(null, "fill", this.fill);
this.regpolygon.setAttributeNS(null, "fill-opacity", this.fill_opacity);
svg.appendChild(this.regpolygon);
return this;
}
points(){
var points = "";
var angle = (Math.PI*2)/this.sides;
for(var i=0; i<this.sides; i++){
var x = this.x+this.radius*Math.cos(angle*i+this.rotation);
var y = this.y+this.radius*Math.sin(angle*i+this.rotation);
points += x+","+y+" ";
}
return points;
}
}
///////////////////////////////////////////////////////////////////////////////
///////////////////// STAR ///////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
class star{
constructor(x,y,outer_radius,inner_radius,sides,rotation,fill,fill_opacity,stroke,stroke_width) {
this.x=x;
this.y=y;
this.outer_radius=outer_radius;
this.inner_radius=inner_radius;
this.rotation=rotation;
this.sides=sides;
this.stroke=stroke;
this.stroke_width=stroke_width;
this.fill=fill;
this.fill_opacity=fill_opacity;
this.star=document.createElementNS("http://www.w3.org/2000/svg", "polygon");
this.star.setAttributeNS(null, "points", this.points());
this.star.setAttributeNS(null, "stroke", this.stroke);
this.star.setAttributeNS(null, "stroke-width", this.stroke_width);
this.star.setAttributeNS(null, "fill", this.fill);
this.star.setAttributeNS(null, "fill-opacity", this.fill_opacity);
svg.appendChild(this.star);
return this;
}
points(){
var points = "";
var outer_angle = (Math.PI*2)/this.sides;
var inner_angle = (Math.PI)/this.sides;
for(var i=0; i<this.sides; i++){
var xv = this.x+this.outer_radius*Math.cos(outer_angle*i+this.rotation);
var yv = this.y+this.outer_radius*Math.sin(outer_angle*i+this.rotation);
points += xv+","+yv+" ";
var xv = this.x+this.inner_radius*Math.cos(inner_angle+(i*outer_angle)+this.rotation);
var yv = this.y+this.inner_radius*Math.sin(inner_angle+(i*outer_angle )+this.rotation);
points += xv+","+yv+" ";
}
return points;
}
}
////////////////////////////////////////////////////////////////////
//////////////////// POLYGON //////////////////////////////////////
//////////////////////////////////////////////////////////////////
class polygon{
constructor(inppoints,fill , fill_opacity,stroke,stroke_width,close=false){
this.inppoints=inppoints;
this.stroke= stroke;
this.stroke_width = stroke_width;
this.fill = fill;
this.fill_opacity = fill_opacity;
this.close = close;
this.polygon = document.createElementNS("http://www.w3.org/2000/svg","path");
this.polygon.setAttributeNS(null, "d",this.pathd());
this.polygon.setAttributeNS(null, "stroke", this.stroke);
this.polygon.setAttributeNS(null,"stroke-width",this.stroke_width);
this.polygon.setAttributeNS(null, "fill",this.fill);
this.polygon.setAttributeNS(null, "fill-opacity", this.fill_opacity);
svg.appendChild(this.polygon);
return this;
}
pathd(){
var dtext=" M "+this.inppoints[0][0]+","+this.inppoints[0][1];
for(var i=0 ; i<this.inppoints.length;i++){
dtext+= "L " +this.inppoints[i][0]+","+this.inppoints[i][1]+ " ";
}
if(this.close){
dtext+= "Z";
}
return dtext;
}
}
////////////////////////////////////////////////////////////////////
//////////////////// TWO POINT CUBIC BEZIER ////////////////////////
//////////////////////////////////////////////////////////////////
class twoPointCubicBezier{
constructor(x1,y1,xc1,yc1,x2,y2,xc2,yc2,fill,fill_opacity,stroke,stroke_width){
this.x1=x1;
this.y1=y1;
this.xc1=xc1;
this.yc1=yc1;
this.x2=x2;
this.y2=y2;
this.xc2=xc2;
this.yc2=yc2;
this.stroke=stroke;
this.stroke_width=stroke_width;
this.fill=fill;
this.fill_opacity=fill_opacity;
this.twoPointCubicBezier = document.createElementNS("http://www.w3.org/2000/svg","path");
this.twoPointCubicBezier.setAttributeNS(null, "d",`M ${this.x1},${this.y1} C ${this.xc1},${this.yc1} ${this.xc2},${this.yc2} ${this.x2},${this.y2}`);
this.twoPointCubicBezier.setAttributeNS(null, "stroke", this.stroke);
this.twoPointCubicBezier.setAttributeNS(null,"stroke-width",this.stroke_width);
this.twoPointCubicBezier.setAttributeNS(null, "fill",this.fill);
this.twoPointCubicBezier.setAttributeNS(null, "fill-opacity", this.fill_opacity);
svg.appendChild(this.twoPointCubicBezier);
return this;
}
}
////////////////////////////////////////////////////////////////////
//////////////////// TWO POINT QUADRATIC BEZIER ////////////////////////
//////////////////////////////////////////////////////////////////
class twoPointQuadraticBezier{
constructor(x1,y1,xc,yc,x2,y2,fill,fill_opacity,stroke,stroke_width){
this.x1=x1;
this.y1=y1;
this.xc=xc;
this.yc=yc;
this.x2=x2;
this.y2=y2;
this.stroke=stroke;
this.stroke_width=stroke_width;
this.fill=fill;
this.fill_opacity=fill_opacity;
this.twoPointQuadraticBezier = document.createElementNS("http://www.w3.org/2000/svg","path");
this.twoPointQuadraticBezier.setAttributeNS(null, "d",`M ${this.x1},${this.y1} Q ${this.xc},${this.yc} ${this.x2},${this.y2}`);
this.twoPointQuadraticBezier.setAttributeNS(null, "stroke", this.stroke);
this.twoPointQuadraticBezier.setAttributeNS(null,"stroke-width",this.stroke_width);
this.twoPointQuadraticBezier.setAttributeNS(null, "fill",this.fill);
this.twoPointQuadraticBezier.setAttributeNS(null, "fill-opacity", this.fill_opacity);
svg.appendChild(this.twoPointQuadraticBezier);
return this;
}}
////////////////////////////////////////////////////////////////////
//////////////////// CUBIC BEZIER //////////////////////////////////
//////////////////////////////////////////////////////////////////
class cubicbezier{
constructor(points,fill,fill_opacity,stroke,stroke_width,line_tension=0.2,close=false){
this.points=points;
this.stroke=stroke;
this.stroke_width=stroke_width;
this.fill=fill;
this.fill_opacity=fill_opacity;
this.line_tension=line_tension;
this.close=close;
this.cubicbezier = document.createElementNS("http://www.w3.org/2000/svg","path");
this.cubicbezier.setAttributeNS(null, "d",this.svgPath(this.points, this.bezierCommand));
this.cubicbezier.setAttributeNS(null, "stroke", this.stroke);
this.cubicbezier.setAttributeNS(null,"stroke-width",this.stroke_width);
this.cubicbezier.setAttributeNS(null, "fill",this.fill);
this.cubicbezier.setAttributeNS(null, "fill-opacity", this.fill_opacity);
svg.appendChild(this.cubicbezier);
return this;
}
////////////////////////////////////////////////////////////////////
//////////////////// Code from project-G ///////////////////////////
//////////////////////////////////////////////////////////////////
svgPath(points, command) {
this.dval = points.reduce((acc, point, i, a) => i === 0
? `M ${point[0]},${point[1]}`
: `${acc} ${command(point, i, a)}`
, '')
if(this.close){
this.dval+="Z";
}
return this.dval;
}
bezierCommand = (point, i, a) => {
// start control point
const [cpsX, cpsY] = this.controlPoint(a[i - 1], a[i - 2], point)
// end control point
const [cpeX, cpeY] = this.controlPoint(point, a[i - 1], a[i + 1], true)
return `C ${cpsX},${cpsY} ${cpeX},${cpeY} ${point[0]},${point[1]}`
}
controlPoint = (current, previous, next, reverse) => {
const p = previous || current
const n = next || current
const smoothing =this.line_tension;
const o = this.bline(p, n)
const angle = o.angle + (reverse ? Math.PI : 0)
const length = o.length * smoothing
const x = current[0] + Math.cos(angle) * length
const y = current[1] + Math.sin(angle) * length
return [x, y]
}
bline = (pointA, pointB) => {
const lengthX = pointB[0] - pointA[0]
const lengthY = pointB[1] - pointA[1]
return {
length: Math.sqrt(Math.pow(lengthX, 2) + Math.pow(lengthY, 2)),
angle: Math.atan2(lengthY, lengthX)
}
}
}
//////////////////////////////////////////////////////////////////////////
/////////////////////// ARC /////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////////
class arc{
constructor(cx, cy, rx,ry, start_angle , end_angle, fill_type,fill, fill_opacity,stroke,stroke_width){
this.cx=cx;
this.cy=cy;
this.rx=rx;
this.ry=ry;
this.start=start_angle;
this.end=end_angle;
this.fill_type= fill_type;
this.stroke=stroke;
this.stroke_width=stroke_width;
this.fill=fill;
this.fill_opacity=fill_opacity;
this.arc=document.createElementNS("http://www.w3.org/2000/svg","path");
this.arc.setAttributeNS(null,"d",this.dval(this.cx,this.cy,this.rx,this.ry,this.start,this.end,this.fill_type));
this.arc.setAttributeNS(null,"stroke",this.stroke);
this.arc.setAttributeNS(null,"stroke-width",this.stroke_width);
this.arc.setAttributeNS(null,"fill",this.fill);
this.arc.setAttributeNS(null,"fill-opacity",this.fill_opacity);
svg.appendChild(this.arc);
return this;
}
dval(cx, cy, rx,ry, start_angle , end_angle, fill_type){
const Δo = (end_angle-start_angle);
const fA = ((Δo > Math.PI) ? 1 : 0);
const fS = ((Δo > 0) ? 1 : 0);
const start_pointx=cx+rx*Math.sin(start_angle);
const start_pointy=cy-ry*Math.cos(start_angle);
const end_pointx=cx+rx*Math.sin(end_angle);
const end_pointy=cy-ry*Math.cos(end_angle);
var dpath= ` M ${start_pointx},${start_pointy} A ${rx} ${ry} 0 ${fA} ${fS} ${end_pointx} ${end_pointy} `;
switch(fill_type){
case "pie":
dpath+= "L " +cx+","+cy+" Z";
break;
case "chord":
dpath+= " Z";
break;
case "open":
break;
}
return dpath;
}
}
///////////////////////////////////////////////////////////////////////////////
///////////////////// TEXT ///////////////////////////////////////////////////
class text{
constructor(x, y, inputtext, font_size, font_family, font_weight,stroke, stroke_width, fill, anchor="start") {
this.x = x;
this.y = y;
this.inputtext = inputtext;
this.font_size = font_size;
this.font_family = font_family;
this.font_weight = font_weight;
this.fill = fill;
this.stroke = stroke;
this.stroke_width = stroke_width;
this.anchor = anchor;
this.text = document.createElementNS("http://www.w3.org/2000/svg", "text");
this.text.setAttributeNS(null, "x", this.x);
this.text.setAttributeNS(null, "y", this.y);
this.text.setAttributeNS(null, "font-size", this.font_size);
this.text.setAttributeNS(null, "font-family", this.font_family);
this.text.setAttributeNS(null, "font-weight", this.font_weight);
this.text.setAttributeNS(null, "fill", this.fill);
this.text.setAttributeNS(null, "text-anchor", this.anchor);
this.text.setAttributeNS(null, "stroke", this.stroke);
this.text.setAttributeNS(null, "stroke-width", this.stroke_width);
this.text.innerHTML = this.inputtext;
svg.appendChild(this.text);
return this;
}
}
///////////////////////////////////////////////////////////////////////////////
///////////////////// FONT ///////////////////////////////////////////////////
function loadFont(url,font_family){
var font = document.createElement("style");
font.type = "text/css";
font.innerHTML = "@font-face { font-family: '"+font_family+"'; src: url('"+url+"'); }";
document.head.appendChild(font);
}
///////////////////////////////////////////////////////////////////////////////
///////////////////// CURSOR ///////////////////////////////////////////////////
function setCursor(cursor) {
svg.style.cursor = cursor;
}
///////////////////////////////////////////////////////////////////////////////
///////////////////// TIME ///////////////////////////////////////////////////
function getTime(){
var d = new Date();
var h = d.getHours();
var m = d.getMinutes();
var s = d.getSeconds();
var ms = d.getMilliseconds();
var time = {
h: h,
m: m,
s: s,
ms: ms
};
return time;
}
function getDate(){
var d = new Date();
var y = d.getFullYear();
var m = d.getMonth()+1;
var day = d.getDate();
var date = {
y: y,
m: m,
day: day
};
return date;
}
function getTimeString(){
var d = new Date();
var h = d.getHours();
var m = d.getMinutes();
var s = d.getSeconds();
var ms = d.getMilliseconds();
var time = h+":"+m+":"+s+":"+ms;
return time;
}
function getDateString(format='dd-mm-yyyy'){
var d = new Date();
var y = d.getFullYear();
var m = d.getMonth()+1;
if(m.length<1){
m="0"+m;
}
var day = d.getDate();
if(day.length<1){
day="0"+day;
}
format=format;
format=format.toLowerCase();
switch(format){
case "yyyy-mm-dd":
var date = y+"-"+m+"-"+day;
break;
case "dd-mm-yyyy":
var date = day+"-"+m+"-"+y;
break;
case "mm-dd-yyyy":
var date = m+"-"+day+"-"+y;
break;
case "yyyy-dd-mm":
var date = y+"-"+day+"-"+m;
break;
case "dd-yyyy-mm":
var date = day+"-"+y+"-"+m;
break;
case "mm-yyyy-dd":
var date = m+"-"+y+"-"+day;
break;
case "yyyy/mm/dd":
var date = y+"/"+m+"/"+day;
break;
case "dd/mm/yyyy":
var date = day+"/"+m+"/"+y;
break;
case "mm/dd/yyyy":
var date = m+"/"+day+"/"+y;
break;
case "yyyy/dd/mm":
var date = y+"/"+day+"/"+m;
break;
case "dd/yyyy/mm":
var date = day+"/"+y+"/"+m;
break;
case "mm/yyyy/dd":
var date = m+"/"+y+"/"+day;
break;
}
return date;
}
function getDayName(){
var d = new Date();
var day = d.getDay();
var dayname = "";
switch(day){
case 0:
dayname = "Sunday";
break;
case 1:
dayname = "Monday";
break;
case 2:
dayname = "Tuesday";
break;
case 3:
dayname = "Wednesday";
break;
case 4:
dayname = "Thursday";
break;
case 5:
dayname = "Friday";
break;
case 6:
dayname = "Saturday";
break;
}
return dayname;
}
///////////////////////////////////////////////////////////////////////////////
/////////////////// Time taken for function execution /////////////////////////
function timeTaken(func){
var t0 = performance.now();
func();
var t1 = performance.now();
return t1 - t0;
}
///////////////////////////////////////////////////////////////////////////////
/////////////////// Vectors ///////////////////////////////////////////////////
function createVector(x, y) {
return {
x: x,
y: y
};
}
function dotProduct(v1, v2) {
return v1.x * v2.x + v1.y * v2.y;
}
function crossProduct(v1, v2) {
return v1.x * v2.y - v1.y * v2.x;
}
function magnitude(v) {
return Math.sqrt(dotProduct(v, v));
}
function normalize(v) {
var l = magnitude(v);
return createVector(v.x / l, v.y / l);
}
function projection(v1, v2) {
return dotProduct(v1, v2) / magnitude(v2);
}
function reflect(v1, v2) {
var cp = crossProduct(v1, v2);
theta=angleBetween(v1,v2);
if(cp<0){
theta = -theta;
}
return rotate(v1,2*theta);
}
function angleBetween(v1, v2) {
return Math.acos(dotProduct(v1, v2) / (magnitude(v1) * magnitude(v2)));
}
function rotate(v, angle) {
var s = Math.sin(angle);
var c = Math.cos(angle);
return createVector(v.x * c - v.y * s, v.x * s + v.y * c);
}
function addVec(v1, v2) {
return createVector(v1.x + v2.x, v1.y + v2.y);
}
function subtractVec(v1, v2) {
return createVector(v1.x - v2.x, v1.y - v2.y);
}
function multiplyVec(v, scalar) {
return createVector(v.x * scalar, v.y * scalar);
}
function divideVec(v, scalar) {
return createVector(v.x / scalar, v.y / scalar);
}
function distanceVec(v1, v2) {
return magnitude(subtractVec(v1, v2));
}
function angle(v) {
return Math.atan2(v.y, v.x);
}
function randomVector(){
return normalize(createVector(Math.random(),Math.random()));
}
function randomVectorComp(min, max) {
return createVector(Math.random() * (max - min) + min, Math.random() * (max - min) + min);
}
function randomVectorMagnitude(min, max) {
var v = randomVector();
return multiplyVec(v,min,max);
}
function randomVectorAngle(angle, min=0, max=1) {
var v = createVector(Math.cos(angle),Math.sin(angle));
return multiplyVec(v,random(min,max));
}
///////////// function to Clear canvas on every draw /////////////////////////////////
function clearCanvas() {
while (svg.firstChild) {
svg.removeChild(svg.lastChild);
}
}
///////////////////////////////////////////////////////////////////////////////
////////// function to map a value from one range to another ///////////////////////
// linearly maps value from the range (a..b) to (c..d)
function mapRange (value, a, b, c, d) {
// first map value from (a..b) to (0..1)
value = (value - a) / (b - a);
// then map it from (0..1) to (c..d) and return it
return c + value * (d - c);
}
///////////////////////////////////////////////////////////////////////////////
/////////// function to convert degree to radian ///////////////////
function degToRad(deg) {
return deg * Math.PI / 180;
}
function radToDeg(rad) {
return rad * 180 / Math.PI;
}
///////////////////////////////////////////////////////////////////////////////
////////////// common mathematical functions ///////////////////////////////
// trignometry functions
function sin(angle) {
return Math.sin(angle);
}
function cos(angle) {
return Math.cos(angle);
}
function tan(angle) {
return Math.tan(angle);
}
function asin(angle) {
return Math.asin(angle);
}
function acos(angle){
return Math.acos(angle);
}
function atan(angle){
return Math.atan(angle);
}
function atan2(y,x){
return Math.atan2(y,x);
}
function atanh(angle){
return Math.atanh(angle);
}
function sinh(angle){
return Math.sinh(angle);
}
function cosh(angle){
return Math.cosh(angle);
}
function tanh(angle){
return Math.tanh(angle);
}
///////////////////////
function abs(e){
return Math.abs(e);
}
function sqrt(e){
return Math.sqrt(e);
}
function cbrt(e){
return Math.cbrt(e);
}
function pow(e,p){
return Math.pow(e,p);
}
function exp(e){
return Math.exp(e);
}
function log(e){
return Math.log(e);
}
function log10(e){
return Math.log10(e);
}
function floor(e){
return Math.floor(e);
}
function ceil(e){
return Math.ceil(e);
}
function round(e){
return Math.round(e);
}
function dist(x1,y1,x2,y2){
return Math.sqrt(pow(x2-x1,2)+pow(y2-y1,2));
}
function max(a){
return Math.max(...a);
}
function min(a){
return Math.min(...a);
}
function factorial(n) {
if (n == 0 || n == 1)
return 1;
return n * factorial(n - 1);
}
function combinations(n,r){
return factorial(n)/(factorial(r)*factorial(n-r));
}
function permutations(n,r){
return factorial(n)/factorial(n-r);
}
function makecombinations(arr){
var combs=[];
for(var i=0;i<arr.length;i++){