Verlet integration is used to simulate a simple ragdoll. en.wikipedia.org/wiki/verlet_integration
#physics #ragdoll
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// Ragdoll physics. Created by Reinder Nijhoff 2019 // @reindernijhoff // // https://turtletoy.net/turtle/736ec867cc // const turtle = new Turtle(); // standard verlet integration class point { constructor(p, mass) { this.p = [...p]; this.p_prev = [...p]; this.mass = mass; this.acc = [0,0]; this.links = []; } attach(p2, stiffness, draw) { this.links.push(new link(this, p2, stiffness, draw)); } update(dt) { this.acc = [0, 9.8]; let vel = sub2(this.p, this.p_prev); vel = scale2(vel, .999); const p = add2(add2(this.p, vel), scale2(this.acc, dt*dt/2)); this.p_prev = this.p; this.p = p; } solveCollisions() { if (this.p[1] > 90) { this.p_prev[1] = this.p[1]; this.p[1] = 90-(this.p[1]-90); } } solve() { this.solveCollisions(); this.links.forEach(l => l.solve()); } draw(t) { this.links.forEach(l => l.draw(t)); } } class link { constructor(p1, p2, stiffness, draw) { this.p1 = p1; this.p2 = p2; this.stiffness = stiffness; this.visible = draw; this.distance = dist2(p1.p, p2.p); } solve() { const v = sub2(this.p1.p, this.p2.p); const d = length2(v); const diff = (this.distance - d)/d; const s = (1/this.p1.mass) / (1/this.p1.mass + 1/this.p2.mass); this.p1.p = add2(this.p1.p, scale2(v, s*this.stiffness*diff)); this.p2.p = add2(this.p2.p, scale2(v, -(1-s)*this.stiffness*diff)); } draw(t) { if (this.visible) { t.jump(this.p1.p); t.goto(this.p2.p); } } } class world { constructor() { this.points = []; } addPoint(p) { this.points.push(p); return p; } update(dt, relax) { this.points.forEach(p => p.update(dt)); for (let i=0; i<relax; i++) { this.points.forEach(p => p.solve()); } } draw(t) { this.points.forEach(p => p.draw(t)); } random(s, o) { this.points.forEach(p => { p.p[0] += (Math.random() - .5) * s + o[0]; p.p[1] += (Math.random() - .5) * s + o[1]; }); } } // ragdoll specific code class circle extends point { constructor(p, mass, radius) { super(p, mass); this.radius = radius; } draw(t) { t.jump([this.p[0], this.p[1]-this.radius]); t.circle(this.radius); super.draw(t); } solveCollisions() { if (this.p[1] > 90-this.radius) { this.p_prev[1] = this.p[1]; this.p[1] = 90-this.radius-(this.p[1]-90+this.radius); } } } class ragdoll { constructor(w, p, s) { const x = p[0], y = p[1]; const head = w.addPoint(new circle([x,y-s/6], 5, s/8)); const shoulder = w.addPoint(new point([x, y+s*.05], 20)); shoulder.attach(head, 1, false); const elbowLeft = w.addPoint(new point([x-s/4,y], 2)); elbowLeft.attach(shoulder, 1, true); const handLeft = w.addPoint(new point([x-s/2,y+s*.1], 2)); handLeft.attach(elbowLeft, 1, true); const elbowRight = w.addPoint(new point([x+s/4,y], 2)); elbowRight.attach(shoulder, 1, true); const handRight = w.addPoint(new point([x+s/2,y+s*.1], 2)); handRight.attach(elbowRight, 1, true); const pelvis = w.addPoint(new point([x,y+s*.42], 15)); pelvis.attach(shoulder, 1, true); const kneeLeft = w.addPoint(new point([x-s/6,y+s*.7], 10)); kneeLeft.attach(pelvis, 1, true); const footLeft = w.addPoint(new point([x-s/6,y+s], 5)); footLeft.attach(kneeLeft, 1, true); const kneeRight = w.addPoint(new point([x+s/6,y+s*.7], 10)); kneeRight.attach(pelvis, 1, true); const footRight = w.addPoint(new point([x+s/6,y+s], 5)); footRight.attach(kneeRight, 1, true); footLeft.attach(shoulder, 0.001, false); footRight.attach(shoulder, 0.001, false); // handRight.attach(pelvis, 0.001, false); // handLeft.attach(pelvis, 0.001, false); handLeft.attach(handRight, 0.0005, false); pelvis.attach(head, 0.01, false); } } const w = new world(); const r = new ragdoll(w, [-90,-90], 6); w.random(.2, [.2,0]); // The walk function will be called until it returns false. function walk(i) { for (let j=0; j<40; j++) { w.update(1/60, 8); } w.draw(turtle); return i < 40; } // vec2 functions function equal2(a,b) { return .001>dist_sqr2(a,b); } function scale2(a,b) { return [a[0]*b,a[1]*b]; } function add2(a,b) { return [a[0]+b[0],a[1]+b[1]]; } function sub2(a,b) { return [a[0]-b[0],a[1]-b[1]]; } function dot2(a,b) { return a[0]*b[0]+a[1]*b[1]; } function dist_sqr2(a,b) { return (a[0]-b[0])*(a[0]-b[0])+(a[1]-b[1])*(a[1]-b[1]); } function dist2(a,b) { return Math.sqrt(dist_sqr2(a,b)); } function length2(a) { return Math.sqrt(dot2(a,a)); } function segment_intersect2(a,b,d,c) { const e=(c[1]-d[1])*(b[0]-a[0])-(c[0]-d[0])*(b[1]-a[1]); if(0==e)return false; c=((c[0]-d[0])*(a[1]-d[1])-(c[1]-d[1])*(a[0]-d[0]))/e; d=((b[0]-a[0])*(a[1]-d[1])-(b[1]-a[1])*(a[0]-d[0]))/e; return 0<=c&&1>=c&&0<=d&&1>=d?[a[0]+c*(b[0]-a[0]),a[1]+c*(b[1]-a[1])]:false; }