@explorables/albert_and_carl_friedrich
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This explorable illustrates two dimensional random walks and the central limit theorem. Although random walks may differ on a small scale, as time progress and they all looks the same from a distance.
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JavaScript
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(a = i.index) > e && (a = n.slice(e, a), s[o] ? s[o] += a : s[++o] = a), (r = r[0]) === (i = i[0]) ? s[o] ? s[o] += i : s[++o] = i : (s[++o] = null, l.push({ i: o, x: K(r, i) })), e = fr.lastIndex;
return e < n.length && (a = n.slice(e), s[o] ? s[o] += a : s[++o] = a), s.length < 2 ? l[0] ? mf(l[0].x) : vf(n) : (n = l.length, function(u) {
for (var c = 0, h; c < n; ++c) s[(h = l[c]).i] = h.x(u);
return s.join("");
});
}
function hi(t, n) {
var e = typeof n, r;
return n == null || e === "boolean" ? fi(n) : (e === "number" ? K : e === "string" ? (r = qt(n)) ? (n = r, Me) : Wo : n instanceof qt ? Me : n instanceof Date ? _f : df(n) ? pf : Array.isArray(n) ? gf : typeof n.valueOf != "function" && typeof n.toString != "function" || isNaN(n) ? yf : K)(t, n);
}
function wf(t, n) {
return t = +t, n = +n, function(e) {
return Math.round(t * (1 - e) + n * e);
};
}
var ia = 180 / Math.PI, Tr = {
translateX: 0,
translateY: 0,
rotate: 0,
skewX: 0,
scaleX: 1,
scaleY: 1
};
function Zo(t, n, e, r, i, a) {
var o, s, l;
return (o = Math.sqrt(t * t + n * n)) && (t /= o, n /= o), (l = t * e + n * r) && (e -= t * l, r -= n * l), (s = Math.sqrt(e * e + r * r)) && (e /= s, r /= s, l /= s), t * r < n * e && (t = -t, n = -n, l = -l, o = -o), {
translateX: i,
translateY: a,
rotate: Math.atan2(n, t) * ia,
skewX: Math.atan(l) * ia,
scaleX: o,
scaleY: s
};
}
var Zn;
function bf(t) {
const n = new (typeof DOMMatrix == "function" ? DOMMatrix : WebKitCSSMatrix)(t + "");
return n.isIdentity ? Tr : Zo(n.a, n.b, n.c, n.d, n.e, n.f);
}
function xf(t) {
return t == null || (Zn || (Zn = document.createElementNS("http://www.w3.org/2000/svg", "g")), Zn.setAttribute("transform", t), !(t = Zn.transform.baseVal.consolidate())) ? Tr : (t = t.matrix, Zo(t.a, t.b, t.c, t.d, t.e, t.f));
}
function Jo(t, n, e, r) {
function i(u) {
return u.length ? u.pop() + " " : "";
}
function a(u, c, h, f, p, d) {
if (u !== h || c !== f) {
var _ = p.push("translate(", null, n, null, e);
d.push({ i: _ - 4, x: K(u, h) }, { i: _ - 2, x: K(c, f) });
} else (h || f) && p.push("translate(" + h + n + f + e);
}
function o(u, c, h, f) {
u !== c ? (u - c > 180 ? c += 360 : c - u > 180 && (u += 360), f.push({ i: h.push(i(h) + "rotate(", null, r) - 2, x: K(u, c) })) : c && h.push(i(h) + "rotate(" + c + r);
}
function s(u, c, h, f) {
u !== c ? f.push({ i: h.push(i(h) + "skewX(", null, r) - 2, x: K(u, c) }) : c && h.push(i(h) + "skewX(" + c + r);
}
function l(u, c, h, f, p, d) {
if (u !== h || c !== f) {
var _ = p.push(i(p) + "scale(", null, ",", null, ")");
d.push({ i: _ - 4, x: K(u, h) }, { i: _ - 2, x: K(c, f) });
} else (h !== 1 || f !== 1) && p.push(i(p) + "scale(" + h + "," + f + ")");
}
return function(u, c) {
var h = [], f = [];
return u = t(u), c = t(c), a(u.translateX, u.translateY, c.translateX, c.translateY, h, f), o(u.rotate, c.rotate, h, f), s(u.skewX, c.skewX, h, f), l(u.scaleX, u.scaleY, c.scaleX, c.scaleY, h, f), u = c = null, function(p) {
for (var d = -1, _ = f.length, m; ++d < _; ) h[(m = f[d]).i] = m.x(p);
return h.join("");
};
};
}
var Mf = Jo(bf, "px, ", "px)", "deg)"), $f = Jo(xf, ", ", ")", ")"), an = 0, mn = 0, gn = 0, Qo = 1e3, $e, wn, Ae = 0, jt = 0, De = 0, Sn = typeof performance == "object" && performance.now ? performance : Date, ts = typeof window == "object" && window.requestAnimationFrame ? window.requestAnimationFrame.bind(window) : function(t) {
setTimeout(t, 17);
};
function He() {
return jt || (ts(Af), jt = Sn.now() + De);
}
function Af() {
jt = 0;
}
function Pn() {
this._call = this._time = this._next = null;
}
Pn.prototype = ns.prototype = {
constructor: Pn,
restart: function(t, n, e) {
if (typeof t != "function") throw new TypeError("callback is not a function");
e = (e == null ? He() : +e) + (n == null ? 0 : +n), !this._next && wn !== this && (wn ? wn._next = this : $e = this, wn = this), this._call = t, this._time = e, Nr();
},
stop: function() {
this._call && (this._call = null, this._time = 1 / 0, Nr());
}
};
function ns(t, n, e) {
var r = new Pn();
return r.restart(t, n, e), r;
}
function kf() {
He(), ++an;
for (var t = $e, n; t; )
(n = jt - t._time) >= 0 && t._call.call(void 0, n), t = t._next;
--an;
}
function aa() {
jt = (Ae = Sn.now()) + De, an = mn = 0;
try {
kf();
} finally {
an = 0, Nf(), jt = 0;
}
}
function Tf() {
var t = Sn.now(), n = t - Ae;
n > Qo && (De -= n, Ae = t);
}
function Nf() {
for (var t, n = $e, e, r = 1 / 0; n; )
n._call ? (r > n._time && (r = n._time), t = n, n = n._next) : (e = n._next, n._next = null, n = t ? t._next = e : $e = e);
wn = t, Nr(r);
}
function Nr(t) {
if (!an) {
mn && (mn = clearTimeout(mn));
var n = t - jt;
n > 24 ? (t < 1 / 0 && (mn = setTimeout(aa, t - Sn.now() - De)), gn && (gn = clearInterval(gn))) : (gn || (Ae = Sn.now(), gn = setInterval(Tf, Qo)), an = 1, ts(aa));
}
}
function oa(t, n, e) {
var r = new Pn();
return n = n == null ? 0 : +n, r.restart((i) => {
r.stop(), t(i + n);
}, n, e), r;
}
function Sf(t, n, e) {
var r = new Pn(), i = n;
return r._restart = r.restart, r.restart = function(a, o, s) {
o = +o, s = s == null ? He() : +s, r._restart(function l(u) {
u += i, r._restart(l, i += o, s), a(u);
}, o, s);
}, r.restart(t, n, e), r;
}
var Pf = Co("start", "end", "cancel", "interrupt"), Ef = [], es = 0, sa = 1, Sr = 2, ce = 3, ua = 4, Pr = 5, fe = 6;
function Xe(t, n, e, r, i, a) {
var o = t.__transition;
if (!o) t.__transition = {};
else if (e in o) return;
zf(t, e, {
name: n,
index: r,
// For context during callback.
group: i,
// For context during callback.
on: Pf,
tween: Ef,
time: a.time,
delay: a.delay,
duration: a.duration,
ease: a.ease,
timer: null,
state: es
});
}
function pi(t, n) {
var e = tt(t, n);
if (e.state > es) throw new Error("too late; already scheduled");
return e;
}
function ot(t, n) {
var e = tt(t, n);
if (e.state > ce) throw new Error("too late; already running");
return e;
}
function tt(t, n) {
var e = t.__transition;
if (!e || !(e = e[n])) throw new Error("transition not found");
return e;
}
function zf(t, n, e) {
var r = t.__transition, i;
r[n] = e, e.timer = ns(a, 0, e.time);
function a(u) {
e.state = sa, e.timer.restart(o, e.delay, e.time), e.delay <= u && o(u - e.delay);
}
function o(u) {
var c, h, f, p;
if (e.state !== sa) return l();
for (c in r)
if (p = r[c], p.name === e.name) {
if (p.state === ce) return oa(o);
p.state === ua ? (p.state = fe, p.timer.stop(), p.on.call("interrupt", t, t.__data__, p.index, p.group), delete r[c]) : +c < n && (p.state = fe, p.timer.stop(), p.on.call("cancel", t, t.__data__, p.index, p.group), delete r[c]);
}
if (oa(function() {
e.state === ce && (e.state = ua, e.timer.restart(s, e.delay, e.time), s(u));
}), e.state = Sr, e.on.call("start", t, t.__data__, e.index, e.group), e.state === Sr) {
for (e.state = ce, i = new Array(f = e.tween.length), c = 0, h = -1; c < f; ++c)
(p = e.tween[c].value.call(t, t.__data__, e.index, e.group)) && (i[++h] = p);
i.length = h + 1;
}
}
function s(u) {
for (var c = u < e.duration ? e.ease.call(null, u / e.duration) : (e.timer.restart(l), e.state = Pr, 1), h = -1, f = i.length; ++h < f; )
i[h].call(t, c);
e.state === Pr && (e.on.call("end", t, t.__data__, e.index, e.group), l());
}
function l() {
e.state = fe, e.timer.stop(), delete r[n];
for (var u in r) return;
delete t.__transition;
}
}
function Of(t, n) {
var e = t.__transition, r, i, a = !0, o;
if (e) {
n = n == null ? null : n + "";
for (o in e) {
if ((r = e[o]).name !== n) {
a = !1;
continue;
}
i = r.state > Sr && r.state < Pr, r.state = fe, r.timer.stop(), r.on.call(i ? "interrupt" : "cancel", t, t.__data__, r.index, r.group), delete e[o];
}
a && delete t.__transition;
}
}
function Cf(t) {
return this.each(function() {
Of(this, t);
});
}
function If(t, n) {
var e, r;
return function() {
var i = ot(this, t), a = i.tween;
if (a !== e) {
r = e = a;
for (var o = 0, s = r.length; o < s; ++o)
if (r[o].name === n) {
r = r.slice(), r.splice(o, 1);
break;
}
}
i.tween = r;
};
}
function Rf(t, n, e) {
var r, i;
if (typeof e != "function") throw new Error();
return function() {
var a = ot(this, t), o = a.tween;
if (o !== r) {
i = (r = o).slice();
for (var s = { name: n, value: e }, l = 0, u = i.length; l < u; ++l)
if (i[l].name === n) {
i[l] = s;
break;
}
l === u && i.push(s);
}
a.tween = i;
};
}
function qf(t, n) {
var e = this._id;
if (t += "", arguments.length < 2) {
for (var r = tt(this.node(), e).tween, i = 0, a = r.length, o; i < a; ++i)
if ((o = r[i]).name === t)
return o.value;
return null;
}
return this.each((n == null ? If : Rf)(e, t, n));
}
function di(t, n, e) {
var r = t._id;
return t.each(function() {
var i = ot(this, r);
(i.value || (i.value = {}))[n] = e.apply(this, arguments);
}), function(i) {
return tt(i, r).value[n];
};
}
function rs(t, n) {
var e;
return (typeof n == "number" ? K : n instanceof qt ? Me : (e = qt(n)) ? (n = e, Me) : Wo)(t, n);
}
function jf(t) {
return function() {
this.removeAttribute(t);
};
}
function Lf(t) {
return function() {
this.removeAttributeNS(t.space, t.local);
};
}
function Ff(t, n, e) {
var r, i = e + "", a;
return function() {
var o = this.getAttribute(t);
return o === i ? null : o === r ? a : a = n(r = o, e);
};
}
function Df(t, n, e) {
var r, i = e + "", a;
return function() {
var o = this.getAttributeNS(t.space, t.local);
return o === i ? null : o === r ? a : a = n(r = o, e);
};
}
function Hf(t, n, e) {
var r, i, a;
return function() {
var o, s = e(this), l;
return s == null ? void this.removeAttribute(t) : (o = this.getAttribute(t), l = s + "", o === l ? null : o === r && l === i ? a : (i = l, a = n(r = o, s)));
};
}
function Xf(t, n, e) {
var r, i, a;
return function() {
var o, s = e(this), l;
return s == null ? void this.removeAttributeNS(t.space, t.local) : (o = this.getAttributeNS(t.space, t.local), l = s + "", o === l ? null : o === r && l === i ? a : (i = l, a = n(r = o, s)));
};
}
function Bf(t, n) {
var e = Fe(t), r = e === "transform" ? $f : rs;
return this.attrTween(t, typeof n == "function" ? (e.local ? Xf : Hf)(e, r, di(this, "attr." + t, n)) : n == null ? (e.local ? Lf : jf)(e) : (e.local ? Df : Ff)(e, r, n));
}
function Uf(t, n) {
return function(e) {
this.setAttribute(t, n.call(this, e));
};
}
function Gf(t, n) {
return function(e) {
this.setAttributeNS(t.space, t.local, n.call(this, e));
};
}
function Yf(t, n) {
var e, r;
function i() {
var a = n.apply(this, arguments);
return a !== r && (e = (r = a) && Gf(t, a)), e;
}
return i._value = n, i;
}
function Vf(t, n) {
var e, r;
function i() {
var a = n.apply(this, arguments);
return a !== r && (e = (r = a) && Uf(t, a)), e;
}
return i._value = n, i;
}
function Kf(t, n) {
var e = "attr." + t;
if (arguments.length < 2) return (e = this.tween(e)) && e._value;
if (n == null) return this.tween(e, null);
if (typeof n != "function") throw new Error();
var r = Fe(t);
return this.tween(e, (r.local ? Yf : Vf)(r, n));
}
function Wf(t, n) {
return function() {
pi(this, t).delay = +n.apply(this, arguments);
};
}
function Zf(t, n) {
return n = +n, function() {
pi(this, t).delay = n;
};
}
function Jf(t) {
var n = this._id;
return arguments.length ? this.each((typeof t == "function" ? Wf : Zf)(n, t)) : tt(this.node(), n).delay;
}
function Qf(t, n) {
return function() {
ot(this, t).duration = +n.apply(this, arguments);
};
}
function th(t, n) {
return n = +n, function() {
ot(this, t).duration = n;
};
}
function nh(t) {
var n = this._id;
return arguments.length ? this.each((typeof t == "function" ? Qf : th)(n, t)) : tt(this.node(), n).duration;
}
function eh(t, n) {
if (typeof n != "function") throw new Error();
return function() {
ot(this, t).ease = n;
};
}
function rh(t) {
var n = this._id;
return arguments.length ? this.each(eh(n, t)) : tt(this.node(), n).ease;
}
function ih(t, n) {
return function() {
var e = n.apply(this, arguments);
if (typeof e != "function") throw new Error();
ot(this, t).ease = e;
};
}
function ah(t) {
if (typeof t != "function") throw new Error();
return this.each(ih(this._id, t));
}
function oh(t) {
typeof t != "function" && (t = qo(t));
for (var n = this._groups, e = n.length, r = new Array(e), i = 0; i < e; ++i)
for (var a = n[i], o = a.length, s = r[i] = [], l, u = 0; u < o; ++u)
(l = a[u]) && t.call(l, l.__data__, u, a) && s.push(l);
return new dt(r, this._parents, this._name, this._id);
}
function sh(t) {
if (t._id !== this._id) throw new Error();
for (var n = this._groups, e = t._groups, r = n.length, i = e.length, a = Math.min(r, i), o = new Array(r), s = 0; s < a; ++s)
for (var l = n[s], u = e[s], c = l.length, h = o[s] = new Array(c), f, p = 0; p < c; ++p)
(f = l[p] || u[p])