From bc1fc717b1ce07202feaa376979d29bd0061750e Mon Sep 17 00:00:00 2001 From: Michael Aaron Murphy Date: Wed, 18 Aug 2021 00:07:48 +0200 Subject: [PATCH] feat(calc): Convert to Rust w/ Qalc --- Cargo.lock | 5 +- Makefile | 3 +- bin/src/main.rs | 1 + debian/control | 2 +- debian/pop-launcher.links | 1 + plugins/Cargo.toml | 11 +-- plugins/src/calc/calc.js | 99 ------------------------- plugins/src/calc/math.js | 47 ------------ plugins/src/calc/mod.rs | 139 ++++++++++++++++++++++++++++++++++++ plugins/src/calc/plugin.ron | 2 +- plugins/src/lib.rs | 1 + 11 files changed, 154 insertions(+), 157 deletions(-) delete mode 100755 plugins/src/calc/calc.js delete mode 100644 plugins/src/calc/math.js create mode 100644 plugins/src/calc/mod.rs diff --git a/Cargo.lock b/Cargo.lock index 6515b71..fa32698 100644 --- a/Cargo.lock +++ b/Cargo.lock @@ -799,6 +799,7 @@ dependencies = [ "new_mime_guess", "pop-launcher", "postage", + "regex", "ron", "serde", "serde_json", @@ -1186,9 +1187,9 @@ dependencies = [ [[package]] name = "tracing-core" -version = "0.1.18" +version = "0.1.19" source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "a9ff14f98b1a4b289c6248a023c1c2fa1491062964e9fed67ab29c4e4da4a052" +checksum = "2ca517f43f0fb96e0c3072ed5c275fe5eece87e8cb52f4a77b69226d3b1c9df8" dependencies = [ "lazy_static", ] diff --git a/Makefile b/Makefile index c2ed6f6..cabc671 100644 --- a/Makefile +++ b/Makefile @@ -75,8 +75,7 @@ install: ln -sf $(BIN) $(PLUGIN_DIR)/web/web # Calculator plugin - install -Dm0755 plugins/src/calc/calc.js $(PLUGIN_DIR)/calc - install -Dm0644 plugins/src/calc/math.js $(PLUGIN_DIR)/calc + ln -sf $(BIN) $(PLUGIN_DIR)/calc/calc # Files plugin install -Dm0755 plugins/src/files/files.js $(PLUGIN_DIR)/files diff --git a/bin/src/main.rs b/bin/src/main.rs index 7ac5020..cdc41f2 100644 --- a/bin/src/main.rs +++ b/bin/src/main.rs @@ -15,6 +15,7 @@ fn main() { let start = plugin.rfind('/').map(|v| v + 1).unwrap_or(0); let cmd = &plugin.as_str()[start..]; match cmd { + "calc" => block_on(plugins::calc::main()), "desktop-entries" => block_on(plugins::desktop_entries::main()), "find" => block_on(plugins::find::main()), "pop-launcher" => block_on(service::main()), diff --git a/debian/control b/debian/control index 844f93a..70e992a 100644 --- a/debian/control +++ b/debian/control @@ -11,7 +11,7 @@ Homepage: https://github.com/pop-os/launcher Package: pop-launcher Architecture: amd64 -Depends: ${misc:Depends}, ${shlibs:Depends} +Depends: qalc, fd-find, ${misc:Depends}, ${shlibs:Depends} Description: Modular IPC-based desktop launcher service Package: pop-launcher-system76-power diff --git a/debian/pop-launcher.links b/debian/pop-launcher.links index 1d7be4b..fa23a8a 100644 --- a/debian/pop-launcher.links +++ b/debian/pop-launcher.links @@ -1,3 +1,4 @@ +/usr/bin/pop-launcher /usr/lib/pop-launcher/plugins/calc/calc /usr/bin/pop-launcher /usr/lib/pop-launcher/plugins/desktop_entries/desktop-entries /usr/bin/pop-launcher /usr/lib/pop-launcher/plugins/find/find /usr/bin/pop-launcher /usr/lib/pop-launcher/plugins/pop_shell/pop-shell diff --git a/plugins/Cargo.toml b/plugins/Cargo.toml index 9933b16..8aab4df 100644 --- a/plugins/Cargo.toml +++ b/plugins/Cargo.toml @@ -6,21 +6,22 @@ edition = "2018" publish = false [dependencies] +fork = "0.1" freedesktop-desktop-entry = "0.3" futures_codec = "0.4" futures-lite = "1" -fork = "0.1" new_mime_guess = "3" pop-launcher = { path = "../" } +postage = "0.4" +regex = "1" +ron = "0.6" serde = "1" serde_json = "1.0" +slab = "0.4" smol = "1" strsim = "0.10" tracing = "0.1" tracing-subscriber = "0.2" +urlencoding = "2" zbus = "1" zvariant = "=2.6" # Restrict for 1.47 -ron = "0.6.4" -urlencoding = "2.1.0" -slab = "0.4.4" -postage = "0.4.1" diff --git a/plugins/src/calc/calc.js b/plugins/src/calc/calc.js deleted file mode 100755 index 611ffe8..0000000 --- a/plugins/src/calc/calc.js +++ /dev/null @@ -1,99 +0,0 @@ -#!/usr/bin/gjs - -const { GLib, Gio } = imports.gi; - -/** The directory that this script is executed from. */ -const SCRIPT_DIR = GLib.path_get_dirname(new Error().stack.split(':')[0].slice(1)); - -/** Add our directory so we can import modules from it. */ -imports.searchPath.push(SCRIPT_DIR) - -const math = imports.math.math; -math.config({number: 'BigNumber' }); - -const STDIN = new Gio.DataInputStream({ base_stream: new Gio.UnixInputStream({ fd: 0 }) }) -const STDOUT = new Gio.DataOutputStream({ base_stream: new Gio.UnixOutputStream({ fd: 1 }) }) - -class App { - constructor() { - this.last_query = "" - this.last_value = "" - } - - search(input) { - this.last_query = input.substr(1) - - try { - this.last_value = math.evaluate(this.last_query).toString() - } catch (e) { - this.last_value = this.last_query + ` x = ?` - } - - this.send({ "Append": { - id: 0, - name: this.last_value, - description: '', - icon: { Name: 'accessories-calculator' }, - }}) - - this.send("Finished") - } - - activate(_id) { - this.send({ "Fill": '= ' + this.last_value }) - } - - send(object) { - STDOUT.write_bytes(new GLib.Bytes(JSON.stringify(object) + "\n"), null) - STDOUT.flush(null) - } -} - -function main() { - /** @type {null | ByteArray} */ - let input_array - - /** @type {string} */ - let input_str - - /** @type {null | LauncherRequest} */ - let event - - let app = new App() - - mainloop: - while (true) { - try { - [input_array,] = STDIN.read_line(null) - } catch (e) { - break - } - - input_str = imports.byteArray.toString(input_array) - if ((event = parse_event(input_str)) !== null) { - if ("Search" in event) { - app.search(event.Search); - } else if ("Activate" in event) { - app.activate(event.Activate); - } else if ("Exit" === event) { - break mainloop - } - } - } -} - -/** - * Parses an IPC event received from STDIN - * @param {string} input - * @returns {null | LauncherRequest} - */ -function parse_event(input) { - try { - return JSON.parse(input) - } catch (e) { - log(`Input not valid JSON`) - return null - } -} - -main() \ No newline at end of file diff --git a/plugins/src/calc/math.js b/plugins/src/calc/math.js deleted file mode 100644 index a167cb1..0000000 --- a/plugins/src/calc/math.js +++ /dev/null @@ -1,47 +0,0 @@ -/** - * math.js - * https://github.com/josdejong/mathjs - * - * Math.js is an extensive math library for JavaScript and Node.js, - * It features real and complex numbers, units, matrices, a large set of - * mathematical functions, and a flexible expression parser. - * - * @version 8.1.0 - * @date 2020-12-04 - * - * @license - * Copyright (C) 2013-2020 Jos de Jong - * - * Licensed under the Apache License, Version 2.0 (the "License"); you may not - * use this file except in compliance with the License. You may obtain a copy - * of the License at - * - * https://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT - * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the - * License for the specific language governing permissions and limitations under - * the License. - */ -!function (e, t) { "object" == typeof exports && "object" == typeof module ? module.exports = t(function () { try { return require("crypto") } catch (e) { } }()) : "function" == typeof define && define.amd ? define(["crypto"], t) : "object" == typeof exports ? exports.math = t(function () { try { return require("crypto") } catch (e) { } }()) : e.math = t(e.crypto) }(this, (function (e) { - return function (e) { var t = {}; function r(n) { if (t[n]) return t[n].exports; var i = t[n] = { i: n, l: !1, exports: {} }; return e[n].call(i.exports, i, i.exports, r), i.l = !0, i.exports } return r.m = e, r.c = t, r.d = function (e, t, n) { r.o(e, t) || Object.defineProperty(e, t, { enumerable: !0, get: n }) }, r.r = function (e) { "undefined" != typeof Symbol && Symbol.toStringTag && Object.defineProperty(e, Symbol.toStringTag, { value: "Module" }), Object.defineProperty(e, "__esModule", { value: !0 }) }, r.t = function (e, t) { if (1 & t && (e = r(e)), 8 & t) return e; if (4 & t && "object" == typeof e && e && e.__esModule) return e; var n = Object.create(null); if (r.r(n), Object.defineProperty(n, "default", { enumerable: !0, value: e }), 2 & t && "string" != typeof e) for (var i in e) r.d(n, i, function (t) { return e[t] }.bind(null, i)); return n }, r.n = function (e) { var t = e && e.__esModule ? function () { return e.default } : function () { return e }; return r.d(t, "a", t), t }, r.o = function (e, t) { return Object.prototype.hasOwnProperty.call(e, t) }, r.p = "", r(r.s = 20) }([, function (e, t, r) { - var n; - /** - * @license Complex.js v2.0.11 11/02/2016 - * - * Copyright (c) 2016, Robert Eisele (robert@xarg.org) - * Dual licensed under the MIT or GPL Version 2 licenses. - **/!function (r) { "use strict"; var i = function (e) { return .5 * (Math.exp(e) + Math.exp(-e)) }, a = function (e) { return .5 * (Math.exp(e) - Math.exp(-e)) }, o = function () { throw SyntaxError("Invalid Param") }; function s(e, t) { var r = Math.abs(e), n = Math.abs(t); return 0 === e ? Math.log(n) : 0 === t ? Math.log(r) : r < 3e3 && n < 3e3 ? .5 * Math.log(e * e + t * t) : Math.log(e / Math.cos(Math.atan2(t, e))) } function u(e, t) { if (!(this instanceof u)) return new u(e, t); var r = function (e, t) { var r = { re: 0, im: 0 }; if (null == e) r.re = r.im = 0; else if (void 0 !== t) r.re = e, r.im = t; else switch (typeof e) { case "object": if ("im" in e && "re" in e) r.re = e.re, r.im = e.im; else if ("abs" in e && "arg" in e) { if (!Number.isFinite(e.abs) && Number.isFinite(e.arg)) return u.INFINITY; r.re = e.abs * Math.cos(e.arg), r.im = e.abs * Math.sin(e.arg) } else if ("r" in e && "phi" in e) { if (!Number.isFinite(e.r) && Number.isFinite(e.phi)) return u.INFINITY; r.re = e.r * Math.cos(e.phi), r.im = e.r * Math.sin(e.phi) } else 2 === e.length ? 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"-" : "") + c), i = a = 0)) } i + a > 0 && o(); break; case "number": r.im = 0, r.re = e; break; default: o() }return isNaN(r.re) || isNaN(r.im), r }(e, t); this.re = r.re, this.im = r.im } u.prototype = { re: 0, im: 0, sign: function () { var e = this.abs(); return new u(this.re / e, this.im / e) }, add: function (e, t) { var r = new u(e, t); return this.isInfinite() && r.isInfinite() ? u.NAN : this.isInfinite() || r.isInfinite() ? u.INFINITY : new u(this.re + r.re, this.im + r.im) }, sub: function (e, t) { var r = new u(e, t); return this.isInfinite() && r.isInfinite() ? u.NAN : this.isInfinite() || r.isInfinite() ? u.INFINITY : new u(this.re - r.re, this.im - r.im) }, mul: function (e, t) { var r = new u(e, t); return this.isInfinite() && r.isZero() || this.isZero() && r.isInfinite() ? u.NAN : this.isInfinite() || r.isInfinite() ? u.INFINITY : 0 === r.im && 0 === this.im ? new u(this.re * r.re, 0) : new u(this.re * r.re - this.im * r.im, this.re * r.im + this.im * r.re) }, div: function (e, t) { var r = new u(e, t); if (this.isZero() && r.isZero() || this.isInfinite() && r.isInfinite()) return u.NAN; if (this.isInfinite() || r.isZero()) return u.INFINITY; if (this.isZero() || r.isInfinite()) return u.ZERO; e = this.re, t = this.im; var n, i, a = r.re, o = r.im; return 0 === o ? new u(e / a, t / a) : Math.abs(a) < Math.abs(o) ? new u((e * (i = a / o) + t) / (n = a * i + o), (t * i - e) / n) : new u((e + t * (i = o / a)) / (n = o * i + a), (t - e * i) / n) }, pow: function (e, t) { var r = new u(e, t); if (e = this.re, t = this.im, r.isZero()) return u.ONE; if (0 === r.im) { if (0 === t && e >= 0) return new u(Math.pow(e, r.re), 0); if (0 === e) switch ((r.re % 4 + 4) % 4) { case 0: return new u(Math.pow(t, r.re), 0); case 1: return new u(0, Math.pow(t, r.re)); case 2: return new u(-Math.pow(t, r.re), 0); case 3: return new u(0, -Math.pow(t, r.re)) } } if (0 === e && 0 === t && r.re > 0 && r.im >= 0) return u.ZERO; var n = Math.atan2(t, e), i = s(e, t); return e = Math.exp(r.re * i - r.im * n), t = r.im * i + r.re * n, new u(e * Math.cos(t), e * Math.sin(t)) }, sqrt: function () { var e, t, r = this.re, n = this.im, i = this.abs(); if (r >= 0) { if (0 === n) return new u(Math.sqrt(r), 0); e = .5 * Math.sqrt(2 * (i + r)) } else e = Math.abs(n) / Math.sqrt(2 * (i - r)); return t = r <= 0 ? .5 * Math.sqrt(2 * (i - r)) : Math.abs(n) / Math.sqrt(2 * (i + r)), new u(e, n < 0 ? -t : t) }, exp: function () { var e = Math.exp(this.re); return this.im, new u(e * Math.cos(this.im), e * Math.sin(this.im)) }, expm1: function () { var e = this.re, t = this.im; return new u(Math.expm1(e) * Math.cos(t) + function (e) { var t = Math.PI / 4; if (e < -t || e > t) return Math.cos(e) - 1; var r = e * e; return r * (r * (1 / 24 + r * (-1 / 720 + r * (1 / 40320 + r * (-1 / 3628800 + r * (1 / 4790014600 + r * (-1 / 87178291200 + r * (1 / 20922789888e3))))))) - .5) }(t), Math.exp(e) * Math.sin(t)) }, log: function () { var e = this.re, t = this.im; return new u(s(e, t), Math.atan2(t, e)) }, abs: function () { return e = this.re, t = this.im, r = Math.abs(e), n = Math.abs(t), r < 3e3 && n < 3e3 ? Math.sqrt(r * r + n * n) : (r < n ? 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(0 == t ? s = s / 1e3 | 0 : 1 == t ? s = s / 100 | 0 : 2 == t && (s = s / 10 | 0), o = (n || r < 4) && 9999 == s || !n && r > 3 && 4999 == s) : o = ((n || r < 4) && s + 1 == a || !n && r > 3 && s + 1 == a / 2) && (e[i + 1] / a / 1e3 | 0) == y(10, t - 3) - 1, o } function C(e, t, r) { for (var n, i, a = [0], o = 0, s = e.length; o < s;) { for (i = a.length; i--;)a[i] *= t; for (a[0] += c.indexOf(e.charAt(o++)), n = 0; n < a.length; n++)a[n] > r - 1 && (void 0 === a[n + 1] && (a[n + 1] = 0), a[n + 1] += a[n] / r | 0, a[n] %= r) } return a.reverse() } S.absoluteValue = S.abs = function () { var e = new this.constructor(this); return e.s < 0 && (e.s = 1), T(e) }, S.ceil = function () { return T(new this.constructor(this), this.e + 1, 2) }, S.comparedTo = S.cmp = function (e) { var t, r, n, i, a = this, o = a.d, s = (e = new a.constructor(e)).d, u = a.s, c = e.s; if (!o || !s) return u && c ? u !== c ? u : o === s ? 0 : !o ^ u < 0 ? 1 : -1 : NaN; if (!o[0] || !s[0]) return o[0] ? u : s[0] ? -c : 0; if (u !== c) return u; if (a.e !== e.e) return a.e > e.e ^ u < 0 ? 1 : -1; for (t = 0, r = (n = o.length) < (i = s.length) ? n : i; t < r; ++t)if (o[t] !== s[t]) return o[t] > s[t] ^ u < 0 ? 1 : -1; return n === i ? 0 : n > i ^ u < 0 ? 1 : -1 }, S.cosine = S.cos = function () { var e, t, r = this, n = r.constructor; return r.d ? r.d[0] ? (e = n.precision, t = n.rounding, n.precision = e + Math.max(r.e, r.sd()) + 7, n.rounding = 1, r = function (e, t) { var r, n, i = t.d.length; i < 32 ? (r = Math.ceil(i / 3), n = (1 / V(4, r)).toString()) : (r = 16, n = "2.3283064365386962890625e-10"); e.precision += r, t = G(e, 1, t.times(n), new e(1)); for (var a = r; a--;) { var o = t.times(t); t = o.times(o).minus(o).times(8).plus(1) } return e.precision -= r, t }(n, Z(n, r)), n.precision = e, n.rounding = t, T(2 == s || 3 == s ? r.neg() : r, e, t, !0)) : new n(1) : new n(NaN) }, S.cubeRoot = S.cbrt = function () { var e, t, r, n, i, a, o, s, u, c, f = this, l = f.constructor; if (!f.isFinite() || f.isZero()) return new l(f); for (m = !1, (a = f.s * y(f.s * f, 1 / 3)) && Math.abs(a) != 1 / 0 ? n = new l(a.toString()) : (r = E(f.d), (a = ((e = f.e) - r.length + 1) % 3) && (r += 1 == a || -2 == a ? "0" : "00"), a = y(r, 1 / 3), e = d((e + 1) / 3) - (e % 3 == (e < 0 ? -1 : 2)), (n = new l(r = a == 1 / 0 ? "5e" + e : (r = a.toExponential()).slice(0, r.indexOf("e") + 1) + e)).s = f.s), o = (e = l.precision) + 3; ;)if (c = (u = (s = n).times(s).times(s)).plus(f), n = _(c.plus(f).times(s), c.plus(u), o + 2, 1), E(s.d).slice(0, o) === (r = E(n.d)).slice(0, o)) { if ("9999" != (r = r.slice(o - 3, o + 1)) && (i || "4999" != r)) { +r && (+r.slice(1) || "5" != r.charAt(0)) || (T(n, e + 1, 1), t = !n.times(n).times(n).eq(f)); break } if (!i && (T(s, e + 1, 0), s.times(s).times(s).eq(f))) { n = s; break } o += 4, i = 1 } return m = !0, T(n, e, l.rounding, t) }, S.decimalPlaces = S.dp = function () { var e, t = this.d, r = NaN; if (t) { if (r = 7 * ((e = t.length - 1) - d(this.e / 7)), e = t[e]) for (; e % 10 == 0; e /= 10)r--; r < 0 && (r = 0) } return r }, S.dividedBy = S.div = function (e) { return _(this, new this.constructor(e)) }, S.dividedToIntegerBy = S.divToInt = function (e) { var t = this.constructor; return T(_(this, new t(e), 0, 1, 1), t.precision, t.rounding) }, S.equals = S.eq = function (e) { return 0 === this.cmp(e) }, S.floor = function () { return T(new this.constructor(this), this.e + 1, 3) }, S.greaterThan = S.gt = function (e) { return this.cmp(e) > 0 }, S.greaterThanOrEqualTo = S.gte = function (e) { var t = this.cmp(e); return 1 == t || 0 === t }, S.hyperbolicCosine = S.cosh = function () { var e, t, r, n, i, a = this, o = a.constructor, s = new o(1); if (!a.isFinite()) return new o(a.s ? 1 / 0 : NaN); if (a.isZero()) return s; r = o.precision, n = o.rounding, o.precision = r + Math.max(a.e, a.sd()) + 4, o.rounding = 1, (i = a.d.length) < 32 ? t = (1 / V(4, e = Math.ceil(i / 3))).toString() : (e = 16, t = "2.3283064365386962890625e-10"), a = G(o, 1, a.times(t), new o(1), !0); for (var u, c = e, f = new o(8); c--;)u = a.times(a), a = s.minus(u.times(f.minus(u.times(f)))); return T(a, o.precision = r, o.rounding = n, !0) }, S.hyperbolicSine = S.sinh = function () { var e, t, r, n, i = this, a = i.constructor; if (!i.isFinite() || i.isZero()) return new a(i); if (t = a.precision, r = a.rounding, a.precision = t + Math.max(i.e, i.sd()) + 4, a.rounding = 1, (n = i.d.length) < 3) i = G(a, 2, i, i, !0); else { e = (e = 1.4 * Math.sqrt(n)) > 16 ? 16 : 0 | e, i = G(a, 2, i = i.times(1 / V(5, e)), i, !0); for (var o, s = new a(5), u = new a(16), c = new a(20); e--;)o = i.times(i), i = i.times(s.plus(o.times(u.times(o).plus(c)))) } return a.precision = t, a.rounding = r, T(i, t, r, !0) }, S.hyperbolicTangent = S.tanh = function () { var e, t, r = this, n = r.constructor; return r.isFinite() ? r.isZero() ? new n(r) : (e = n.precision, t = n.rounding, n.precision = e + 7, n.rounding = 1, _(r.sinh(), r.cosh(), n.precision = e, n.rounding = t)) : new n(r.s) }, S.inverseCosine = S.acos = function () { var e, t = this, r = t.constructor, n = t.abs().cmp(1), i = r.precision, a = r.rounding; return -1 !== n ? 0 === n ? t.isNeg() ? I(r, i, a) : new r(0) : new r(NaN) : t.isZero() ? I(r, i + 4, a).times(.5) : (r.precision = i + 6, r.rounding = 1, t = t.asin(), e = I(r, i + 4, a).times(.5), r.precision = i, r.rounding = a, e.minus(t)) }, S.inverseHyperbolicCosine = S.acosh = function () { var e, t, r = this, n = r.constructor; return r.lte(1) ? new n(r.eq(1) ? 0 : NaN) : r.isFinite() ? (e = n.precision, t = n.rounding, n.precision = e + Math.max(Math.abs(r.e), r.sd()) + 4, n.rounding = 1, m = !1, r = r.times(r).minus(1).sqrt().plus(r), m = !0, n.precision = e, n.rounding = t, r.ln()) : new n(r) }, S.inverseHyperbolicSine = S.asinh = function () { var e, t, r = this, n = r.constructor; return !r.isFinite() || r.isZero() ? new n(r) : (e = n.precision, t = n.rounding, n.precision = e + 2 * Math.max(Math.abs(r.e), r.sd()) + 6, n.rounding = 1, m = !1, r = r.times(r).plus(1).sqrt().plus(r), m = !0, n.precision = e, n.rounding = t, r.ln()) }, S.inverseHyperbolicTangent = S.atanh = function () { var e, t, r, n, i = this, a = i.constructor; return i.isFinite() ? i.e >= 0 ? new a(i.abs().eq(1) ? i.s / 0 : i.isZero() ? i : NaN) : (e = a.precision, t = a.rounding, n = i.sd(), Math.max(n, e) < 2 * -i.e - 1 ? T(new a(i), e, t, !0) : (a.precision = r = n - i.e, i = _(i.plus(1), new a(1).minus(i), r + e, 1), a.precision = e + 4, a.rounding = 1, i = i.ln(), a.precision = e, a.rounding = t, i.times(.5))) : new a(NaN) }, S.inverseSine = S.asin = function () { var e, t, r, n, i = this, a = i.constructor; return i.isZero() ? new a(i) : (t = i.abs().cmp(1), r = a.precision, n = a.rounding, -1 !== t ? 0 === t ? ((e = I(a, r + 4, n).times(.5)).s = i.s, e) : new a(NaN) : (a.precision = r + 6, a.rounding = 1, i = i.div(new a(1).minus(i.times(i)).sqrt().plus(1)).atan(), a.precision = r, a.rounding = n, i.times(2))) }, S.inverseTangent = S.atan = function () { var e, t, r, n, i, a, o, s, u, c = this, f = c.constructor, l = f.precision, p = f.rounding; if (c.isFinite()) { if (c.isZero()) return new f(c); if (c.abs().eq(1) && l + 4 <= M) return (o = I(f, l + 4, p).times(.25)).s = c.s, o } else { if (!c.s) return new f(NaN); if (l + 4 <= M) return (o = I(f, l + 4, p).times(.5)).s = c.s, o } for (f.precision = s = l + 10, f.rounding = 1, e = r = Math.min(28, s / 7 + 2 | 0); e; --e)c = c.div(c.times(c).plus(1).sqrt().plus(1)); for (m = !1, t = Math.ceil(s / 7), n = 1, u = c.times(c), o = new f(c), i = c; -1 !== e;)if (i = i.times(u), a = o.minus(i.div(n += 2)), i = i.times(u), void 0 !== (o = a.plus(i.div(n += 2))).d[t]) for (e = t; o.d[e] === a.d[e] && e--;); return r && (o = o.times(2 << r - 1)), m = !0, T(o, f.precision = l, f.rounding = p, !0) }, S.isFinite = function () { return !!this.d }, S.isInteger = S.isInt = function () { return !!this.d && d(this.e / 7) > this.d.length - 2 }, S.isNaN = function () { return !this.s }, S.isNegative = S.isNeg = function () { return this.s < 0 }, S.isPositive = S.isPos = function () { return this.s > 0 }, S.isZero = function () { return !!this.d && 0 === this.d[0] }, S.lessThan = S.lt = function (e) { return this.cmp(e) < 0 }, S.lessThanOrEqualTo = S.lte = function (e) { return this.cmp(e) < 1 }, S.logarithm = S.log = function (e) { var t, r, n, i, a, o, s, u, c = this.constructor, f = c.precision, l = c.rounding; if (null == e) e = new c(10), t = !0; else { if (r = (e = new c(e)).d, e.s < 0 || !r || !r[0] || e.eq(1)) return new c(NaN); t = e.eq(10) } if (r = this.d, this.s < 0 || !r || !r[0] || this.eq(1)) return new c(r && !r[0] ? -1 / 0 : 1 != this.s ? NaN : r ? 0 : 1 / 0); if (t) if (r.length > 1) a = !0; else { for (i = r[0]; i % 10 == 0;)i /= 10; a = 1 !== i } if (m = !1, o = F(this, s = f + 5), n = t ? k(c, s + 10) : F(e, s), O((u = _(o, n, s, 1)).d, i = f, l)) do { if (o = F(this, s += 10), n = t ? k(c, s + 10) : F(e, s), u = _(o, n, s, 1), !a) { +E(u.d).slice(i + 1, i + 15) + 1 == 1e14 && (u = T(u, f + 1, 0)); break } } while (O(u.d, i += 10, l)); return m = !0, T(u, f, l) }, S.minus = S.sub = function (e) { var t, r, n, i, a, o, s, u, c, f, l, p, h = this, y = h.constructor; if (e = new y(e), !h.d || !e.d) return h.s && e.s ? h.d ? e.s = -e.s : e = new y(e.d || h.s !== e.s ? h : NaN) : e = new y(NaN), e; if (h.s != e.s) return e.s = -e.s, h.plus(e); if (c = h.d, p = e.d, s = y.precision, u = y.rounding, !c[0] || !p[0]) { if (p[0]) e.s = -e.s; else { if (!c[0]) return new y(3 === u ? -0 : 0); e = new y(h) } return m ? T(e, s, u) : e } if (r = d(e.e / 7), f = d(h.e / 7), c = c.slice(), a = f - r) { for ((l = a < 0) ? (t = c, a = -a, o = p.length) : (t = p, r = f, o = c.length), a > (n = Math.max(Math.ceil(s / 7), o) + 2) && (a = n, t.length = 1), t.reverse(), n = a; n--;)t.push(0); t.reverse() } else { for ((l = (n = c.length) < (o = p.length)) && (o = n), n = 0; n < o; n++)if (c[n] != p[n]) { l = c[n] < p[n]; break } a = 0 } for (l && (t = c, c = p, p = t, e.s = -e.s), o = c.length, n = p.length - o; n > 0; --n)c[o++] = 0; for (n = p.length; n > a;) { if (c[--n] < p[n]) { for (i = n; i && 0 === c[--i];)c[i] = w - 1; --c[i], c[n] += w } c[n] -= p[n] } for (; 0 === c[--o];)c.pop(); for (; 0 === c[0]; c.shift())--r; return c[0] ? (e.d = c, e.e = z(c, r), m ? T(e, s, u) : e) : new y(3 === u ? -0 : 0) }, S.modulo = S.mod = function (e) { var t, r = this, n = r.constructor; return e = new n(e), !r.d || !e.s || e.d && !e.d[0] ? new n(NaN) : !e.d || r.d && !r.d[0] ? T(new n(r), n.precision, n.rounding) : (m = !1, 9 == n.modulo ? (t = _(r, e.abs(), 0, 3, 1)).s *= e.s : t = _(r, e, 0, n.modulo, 1), t = t.times(e), m = !0, r.minus(t)) }, S.naturalExponential = S.exp = function () { return U(this) }, S.naturalLogarithm = S.ln = function () { return F(this) }, S.negated = S.neg = function () { var e = new this.constructor(this); return e.s = -e.s, T(e) }, S.plus = S.add = function (e) { var t, r, n, i, a, o, s, u, c, f, l = this, p = l.constructor; if (e = new p(e), !l.d || !e.d) return l.s && e.s ? l.d || (e = new p(e.d || l.s === e.s ? l : NaN)) : e = new p(NaN), e; if (l.s != e.s) return e.s = -e.s, l.minus(e); if (c = l.d, f = e.d, s = p.precision, u = p.rounding, !c[0] || !f[0]) return f[0] || (e = new p(l)), m ? T(e, s, u) : e; if (a = d(l.e / 7), n = d(e.e / 7), c = c.slice(), i = a - n) { for (i < 0 ? (r = c, i = -i, o = f.length) : (r = f, n = a, o = c.length), i > (o = (a = Math.ceil(s / 7)) > o ? a + 1 : o + 1) && (i = o, r.length = 1), r.reverse(); i--;)r.push(0); r.reverse() } for ((o = c.length) - (i = f.length) < 0 && (i = o, r = f, f = c, c = r), t = 0; i;)t = (c[--i] = c[i] + f[i] + t) / w | 0, c[i] %= w; for (t && (c.unshift(t), ++n), o = c.length; 0 == c[--o];)c.pop(); return e.d = c, e.e = z(c, n), m ? T(e, s, u) : e }, S.precision = S.sd = function (e) { var t, r = this; if (void 0 !== e && e !== !!e && 1 !== e && 0 !== e) throw Error(h + e); return r.d ? (t = B(r.d), e && r.e + 1 > t && (t = r.e + 1)) : t = NaN, t }, S.round = function () { var e = this, t = e.constructor; return T(new t(e), e.e + 1, t.rounding) }, S.sine = S.sin = function () { var e, t, r = this, n = r.constructor; return r.isFinite() ? r.isZero() ? new n(r) : (e = n.precision, t = n.rounding, n.precision = e + Math.max(r.e, r.sd()) + 7, n.rounding = 1, r = function (e, t) { var r, n = t.d.length; if (n < 3) return G(e, 2, t, t); r = (r = 1.4 * Math.sqrt(n)) > 16 ? 16 : 0 | r, t = t.times(1 / V(5, r)), t = G(e, 2, t, t); for (var i, a = new e(5), o = new e(16), s = new e(20); r--;)i = t.times(t), t = t.times(a.plus(i.times(o.times(i).minus(s)))); return t }(n, Z(n, r)), n.precision = e, n.rounding = t, T(s > 2 ? r.neg() : r, e, t, !0)) : new n(NaN) }, S.squareRoot = S.sqrt = function () { var e, t, r, n, i, a, o = this, s = o.d, u = o.e, c = o.s, f = o.constructor; if (1 !== c || !s || !s[0]) return new f(!c || c < 0 && (!s || s[0]) ? NaN : s ? o : 1 / 0); for (m = !1, 0 == (c = Math.sqrt(+o)) || c == 1 / 0 ? (((t = E(s)).length + u) % 2 == 0 && (t += "0"), c = Math.sqrt(t), u = d((u + 1) / 2) - (u < 0 || u % 2), n = new f(t = c == 1 / 0 ? "5e" + u : (t = c.toExponential()).slice(0, t.indexOf("e") + 1) + u)) : n = new f(c.toString()), r = (u = f.precision) + 3; ;)if (n = (a = n).plus(_(o, a, r + 2, 1)).times(.5), E(a.d).slice(0, r) === (t = E(n.d)).slice(0, r)) { if ("9999" != (t = t.slice(r - 3, r + 1)) && (i || "4999" != t)) { +t && (+t.slice(1) || "5" != t.charAt(0)) || (T(n, u + 1, 1), e = !n.times(n).eq(o)); break } if (!i && (T(a, u + 1, 0), a.times(a).eq(o))) { n = a; break } r += 4, i = 1 } return m = !0, T(n, u, f.rounding, e) }, S.tangent = S.tan = function () { var e, t, r = this, n = r.constructor; return r.isFinite() ? r.isZero() ? new n(r) : (e = n.precision, t = n.rounding, n.precision = e + 10, n.rounding = 1, (r = r.sin()).s = 1, r = _(r, new n(1).minus(r.times(r)).sqrt(), e + 10, 0), n.precision = e, n.rounding = t, T(2 == s || 4 == s ? r.neg() : r, e, t, !0)) : new n(NaN) }, S.times = S.mul = function (e) { var t, r, n, i, a, o, s, u, c, f = this, l = f.constructor, p = f.d, h = (e = new l(e)).d; if (e.s *= f.s, !(p && p[0] && h && h[0])) return new l(!e.s || p && !p[0] && !h || h && !h[0] && !p ? NaN : p && h ? 0 * e.s : e.s / 0); for (r = d(f.e / 7) + d(e.e / 7), (u = p.length) < (c = h.length) && (a = p, p = h, h = a, o = u, u = c, c = o), a = [], n = o = u + c; n--;)a.push(0); for (n = c; --n >= 0;) { for (t = 0, i = u + n; i > n;)s = a[i] + h[n] * p[i - n - 1] + t, a[i--] = s % w | 0, t = s / w | 0; a[i] = (a[i] + t) % w | 0 } for (; !a[--o];)a.pop(); return t ? ++r : a.shift(), e.d = a, e.e = z(a, r), m ? T(e, l.precision, l.rounding) : e }, S.toBinary = function (e, t) { return W(this, 2, e, t) }, S.toDecimalPlaces = S.toDP = function (e, t) { var r = this, n = r.constructor; return r = new n(r), void 0 === e ? r : (A(e, 0, 1e9), void 0 === t ? t = n.rounding : A(t, 0, 8), T(r, e + r.e + 1, t)) }, S.toExponential = function (e, t) { var r, n = this, i = n.constructor; return void 0 === e ? r = q(n, !0) : (A(e, 0, 1e9), void 0 === t ? t = i.rounding : A(t, 0, 8), r = q(n = T(new i(n), e + 1, t), !0, e + 1)), n.isNeg() && !n.isZero() ? "-" + r : r }, S.toFixed = function (e, t) { var r, n, i = this, a = i.constructor; return void 0 === e ? r = q(i) : (A(e, 0, 1e9), void 0 === t ? t = a.rounding : A(t, 0, 8), r = q(n = T(new a(i), e + i.e + 1, t), !1, e + n.e + 1)), i.isNeg() && !i.isZero() ? "-" + r : r }, S.toFraction = function (e) { var t, r, n, i, a, o, s, u, c, f, l, p, d = this, g = d.d, v = d.constructor; if (!g) return new v(d); if (c = r = new v(1), n = u = new v(0), o = (a = (t = new v(n)).e = B(g) - d.e - 1) % 7, t.d[0] = y(10, o < 0 ? 7 + o : o), null == e) e = a > 0 ? t : c; else { if (!(s = new v(e)).isInt() || s.lt(c)) throw Error(h + s); e = s.gt(t) ? a > 0 ? t : c : s } for (m = !1, s = new v(E(g)), f = v.precision, v.precision = a = 7 * g.length * 2; l = _(s, t, 0, 1, 1), 1 != (i = r.plus(l.times(n))).cmp(e);)r = n, n = i, i = c, c = u.plus(l.times(i)), u = i, i = t, t = s.minus(l.times(i)), s = i; return i = _(e.minus(r), n, 0, 1, 1), u = u.plus(i.times(c)), r = r.plus(i.times(n)), u.s = c.s = d.s, p = _(c, n, a, 1).minus(d).abs().cmp(_(u, r, a, 1).minus(d).abs()) < 1 ? [c, n] : [u, r], v.precision = f, m = !0, p }, S.toHexadecimal = S.toHex = function (e, t) { return W(this, 16, e, t) }, S.toNearest = function (e, t) { var r = this, n = r.constructor; if (r = new n(r), null == e) { if (!r.d) return r; e = new n(1), t = n.rounding } else { if (e = new n(e), void 0 === t ? t = n.rounding : A(t, 0, 8), !r.d) return e.s ? r : e; if (!e.d) return e.s && (e.s = r.s), e } return e.d[0] ? (m = !1, r = _(r, e, 0, t, 1).times(e), m = !0, T(r)) : (e.s = r.s, r = e), r }, S.toNumber = function () { return +this }, S.toOctal = function (e, t) { return W(this, 8, e, t) }, S.toPower = S.pow = function (e) { var t, r, n, i, a, o, s = this, u = s.constructor, c = +(e = new u(e)); if (!(s.d && e.d && s.d[0] && e.d[0])) return new u(y(+s, c)); if ((s = new u(s)).eq(1)) return s; if (n = u.precision, a = u.rounding, e.eq(1)) return T(s, n, a); if ((t = d(e.e / 7)) >= e.d.length - 1 && (r = c < 0 ? -c : c) <= 9007199254740991) return i = R(u, s, r, n), e.s < 0 ? new u(1).div(i) : T(i, n, a); if ((o = s.s) < 0) { if (t < e.d.length - 1) return new u(NaN); if (0 == (1 & e.d[t]) && (o = 1), 0 == s.e && 1 == s.d[0] && 1 == s.d.length) return s.s = o, s } return (t = 0 != (r = y(+s, c)) && isFinite(r) ? new u(r + "").e : d(c * (Math.log("0." + E(s.d)) / Math.LN10 + s.e + 1))) > u.maxE + 1 || t < u.minE - 1 ? new u(t > 0 ? o / 0 : 0) : (m = !1, u.rounding = s.s = 1, r = Math.min(12, (t + "").length), (i = U(e.times(F(s, n + r)), n)).d && O((i = T(i, n + 5, 1)).d, n, a) && (t = n + 10, +E((i = T(U(e.times(F(s, t + r)), t), t + 5, 1)).d).slice(n + 1, n + 15) + 1 == 1e14 && (i = T(i, n + 1, 0))), i.s = o, m = !0, u.rounding = a, T(i, n, a)) }, S.toPrecision = function (e, t) { var r, n = this, i = n.constructor; return void 0 === e ? r = q(n, n.e <= i.toExpNeg || n.e >= i.toExpPos) : (A(e, 1, 1e9), void 0 === t ? t = i.rounding : A(t, 0, 8), r = q(n = T(new i(n), e, t), e <= n.e || n.e <= i.toExpNeg, e)), n.isNeg() && !n.isZero() ? "-" + r : r }, S.toSignificantDigits = S.toSD = function (e, t) { var r = this.constructor; return void 0 === e ? (e = r.precision, t = r.rounding) : (A(e, 1, 1e9), void 0 === t ? t = r.rounding : A(t, 0, 8)), T(new r(this), e, t) }, S.toString = function () { var e = this, t = e.constructor, r = q(e, e.e <= t.toExpNeg || e.e >= t.toExpPos); return e.isNeg() && !e.isZero() ? "-" + r : r }, S.truncated = S.trunc = function () { return T(new this.constructor(this), this.e + 1, 1) }, S.valueOf = S.toJSON = function () { var e = this, t = e.constructor, r = q(e, e.e <= t.toExpNeg || e.e >= t.toExpPos); return e.isNeg() ? "-" + r : r }; var _ = function () { function e(e, t, r) { var n, i = 0, a = e.length; for (e = e.slice(); a--;)n = e[a] * t + i, e[a] = n % r | 0, i = n / r | 0; return i && e.unshift(i), e } function t(e, t, r, n) { var i, a; if (r != n) a = r > n ? 1 : -1; else for (i = a = 0; i < r; i++)if (e[i] != t[i]) { a = e[i] > t[i] ? 1 : -1; break } return a } function r(e, t, r, n) { for (var i = 0; r--;)e[r] -= i, i = e[r] < t[r] ? 1 : 0, e[r] = i * n + e[r] - t[r]; for (; !e[0] && e.length > 1;)e.shift() } return function (n, i, a, s, u, c) { var f, l, p, m, h, y, g, v, x, b, N, M, S, E, A, O, C, _, q, z, k = n.constructor, I = n.s == i.s ? 1 : -1, B = n.d, D = i.d; if (!(B && B[0] && D && D[0])) return new k(n.s && i.s && (B ? !D || B[0] != D[0] : D) ? B && 0 == B[0] || !D ? 0 * I : I / 0 : NaN); for (c ? (h = 1, l = n.e - i.e) : (c = w, h = 7, l = d(n.e / h) - d(i.e / h)), q = D.length, C = B.length, b = (x = new k(I)).d = [], p = 0; D[p] == (B[p] || 0); p++); if (D[p] > (B[p] || 0) && l--, null == a ? (E = a = k.precision, s = k.rounding) : E = u ? a + (n.e - i.e) + 1 : a, E < 0) b.push(1), y = !0; else { if (E = E / h + 2 | 0, p = 0, 1 == q) { for (m = 0, D = D[0], E++; (p < C || m) && E--; p++)A = m * c + (B[p] || 0), b[p] = A / D | 0, m = A % D | 0; y = m || p < C } else { for ((m = c / (D[0] + 1) | 0) > 1 && (D = e(D, m, c), B = e(B, m, c), q = D.length, C = B.length), O = q, M = (N = B.slice(0, q)).length; M < q;)N[M++] = 0; (z = D.slice()).unshift(0), _ = D[0], D[1] >= c / 2 && ++_; do { m = 0, (f = t(D, N, q, M)) < 0 ? (S = N[0], q != M && (S = S * c + (N[1] || 0)), (m = S / _ | 0) > 1 ? (m >= c && (m = c - 1), 1 == (f = t(g = e(D, m, c), N, v = g.length, M = N.length)) && (m--, r(g, q < v ? z : D, v, c))) : (0 == m && (f = m = 1), g = D.slice()), (v = g.length) < M && g.unshift(0), r(N, g, M, c), -1 == f && (f = t(D, N, q, M = N.length)) < 1 && (m++, r(N, q < M ? z : D, M, c)), M = N.length) : 0 === f && (m++, N = [0]), b[p++] = m, f && N[0] ? N[M++] = B[O] || 0 : (N = [B[O]], M = 1) } while ((O++ < C || void 0 !== N[0]) && E--); y = void 0 !== N[0] } b[0] || b.shift() } if (1 == h) x.e = l, o = y; else { for (p = 1, m = b[0]; m >= 10; m /= 10)p++; x.e = p + l * h - 1, T(x, u ? a + x.e + 1 : a, s, y) } return x } }(); function T(e, t, r, n) { var i, a, o, s, u, c, f, l, p, h = e.constructor; e: if (null != t) { if (!(l = e.d)) return e; for (i = 1, s = l[0]; s >= 10; s /= 10)i++; if ((a = t - i) < 0) a += 7, o = t, u = (f = l[p = 0]) / y(10, i - o - 1) % 10 | 0; else if ((p = Math.ceil((a + 1) / 7)) >= (s = l.length)) { if (!n) break e; for (; s++ <= p;)l.push(0); f = u = 0, i = 1, o = (a %= 7) - 7 + 1 } else { for (f = s = l[p], i = 1; s >= 10; s /= 10)i++; u = (o = (a %= 7) - 7 + i) < 0 ? 0 : f / y(10, i - o - 1) % 10 | 0 } if (n = n || t < 0 || void 0 !== l[p + 1] || (o < 0 ? f : f % y(10, i - o - 1)), c = r < 4 ? (u || n) && (0 == r || r == (e.s < 0 ? 3 : 2)) : u > 5 || 5 == u && (4 == r || n || 6 == r && (a > 0 ? o > 0 ? f / y(10, i - o) : 0 : l[p - 1]) % 10 & 1 || r == (e.s < 0 ? 8 : 7)), t < 1 || !l[0]) return l.length = 0, c ? (t -= e.e + 1, l[0] = y(10, (7 - t % 7) % 7), e.e = -t || 0) : l[0] = e.e = 0, e; if (0 == a ? (l.length = p, s = 1, p--) : (l.length = p + 1, s = y(10, 7 - a), l[p] = o > 0 ? (f / y(10, i - o) % y(10, o) | 0) * s : 0), c) for (; ;) { if (0 == p) { for (a = 1, o = l[0]; o >= 10; o /= 10)a++; for (o = l[0] += s, s = 1; o >= 10; o /= 10)s++; a != s && (e.e++, l[0] == w && (l[0] = 1)); break } if (l[p] += s, l[p] != w) break; l[p--] = 0, s = 1 } for (a = l.length; 0 === l[--a];)l.pop() } return m && (e.e > h.maxE ? (e.d = null, e.e = NaN) : e.e < h.minE && (e.e = 0, e.d = [0])), e } function q(e, t, r) { if (!e.isFinite()) return L(e); var n, i = e.e, a = E(e.d), o = a.length; return t ? (r && (n = r - o) > 0 ? a = a.charAt(0) + "." + a.slice(1) + D(n) : o > 1 && (a = a.charAt(0) + "." + a.slice(1)), a = a + (e.e < 0 ? "e" : "e+") + e.e) : i < 0 ? (a = "0." + D(-i - 1) + a, r && (n = r - o) > 0 && (a += D(n))) : i >= o ? (a += D(i + 1 - o), r && (n = r - i - 1) > 0 && (a = a + "." + D(n))) : ((n = i + 1) < o && (a = a.slice(0, n) + "." + a.slice(n)), r && (n = r - o) > 0 && (i + 1 === o && (a += "."), a += D(n))), a } function z(e, t) { var r = e[0]; for (t *= 7; r >= 10; r /= 10)t++; return t } function k(e, t, r) { if (t > N) throw m = !0, r && (e.precision = r), Error("[DecimalError] Precision limit exceeded"); return T(new e(f), t, 1, !0) } function I(e, t, r) { if (t > M) throw Error("[DecimalError] Precision limit exceeded"); return T(new e(l), t, r, !0) } function B(e) { var t = e.length - 1, r = 7 * t + 1; if (t = e[t]) { for (; t % 10 == 0; t /= 10)r--; for (t = e[0]; t >= 10; t /= 10)r++ } return r } function D(e) { for (var t = ""; e--;)t += "0"; return t } function R(e, t, r, n) { var i, a = new e(1), o = Math.ceil(n / 7 + 4); for (m = !1; ;) { if (r % 2 && J((a = a.times(t)).d, o) && (i = !0), 0 === (r = d(r / 2))) { r = a.d.length - 1, i && 0 === a.d[r] && ++a.d[r]; break } J((t = t.times(t)).d, o) } return m = !0, a } function j(e) { return 1 & e.d[e.d.length - 1] } function P(e, t, r) { for (var n, i = new e(t[0]), a = 0; ++a < t.length;) { if (!(n = new e(t[a])).s) { i = n; break } i[r](n) && (i = n) } return i } function U(e, t) { var r, n, i, a, o, s, u, c = 0, f = 0, l = 0, p = e.constructor, h = p.rounding, d = p.precision; if (!e.d || !e.d[0] || e.e > 17) return new p(e.d ? e.d[0] ? e.s < 0 ? 0 : 1 / 0 : 1 : e.s ? e.s < 0 ? 0 : e : NaN); for (null == t ? (m = !1, u = d) : u = t, s = new p(.03125); e.e > -2;)e = e.times(s), l += 5; for (u += n = Math.log(y(2, l)) / Math.LN10 * 2 + 5 | 0, r = a = o = new p(1), p.precision = u; ;) { if (a = T(a.times(e), u, 1), r = r.times(++f), E((s = o.plus(_(a, r, u, 1))).d).slice(0, u) === E(o.d).slice(0, u)) { for (i = l; i--;)o = T(o.times(o), u, 1); if (null != t) return p.precision = d, o; if (!(c < 3 && O(o.d, u - n, h, c))) return T(o, p.precision = d, h, m = !0); p.precision = u += 10, r = a = s = new p(1), f = 0, c++ } o = s } } function F(e, t) { var r, n, i, a, o, s, u, c, f, l, p, h = 1, d = e, y = d.d, g = d.constructor, v = g.rounding, x = g.precision; if (d.s < 0 || !y || !y[0] || !d.e && 1 == y[0] && 1 == y.length) return new g(y && !y[0] ? -1 / 0 : 1 != d.s ? NaN : y ? 0 : d); if (null == t ? (m = !1, f = x) : f = t, g.precision = f += 10, n = (r = E(y)).charAt(0), !(Math.abs(a = d.e) < 15e14)) return c = k(g, f + 2, x).times(a + ""), d = F(new g(n + "." + r.slice(1)), f - 10).plus(c), g.precision = x, null == t ? T(d, x, v, m = !0) : d; for (; n < 7 && 1 != n || 1 == n && r.charAt(1) > 3;)n = (r = E((d = d.times(e)).d)).charAt(0), h++; for (a = d.e, n > 1 ? (d = new g("0." + r), a++) : d = new g(n + "." + r.slice(1)), l = d, u = o = d = _(d.minus(1), d.plus(1), f, 1), p = T(d.times(d), f, 1), i = 3; ;) { if (o = T(o.times(p), f, 1), E((c = u.plus(_(o, new g(i), f, 1))).d).slice(0, f) === E(u.d).slice(0, f)) { if (u = u.times(2), 0 !== a && (u = u.plus(k(g, f + 2, x).times(a + ""))), u = _(u, new g(h), f, 1), null != t) return g.precision = x, u; if (!O(u.d, f - 10, v, s)) return T(u, g.precision = x, v, m = !0); g.precision = f += 10, c = o = d = _(l.minus(1), l.plus(1), f, 1), p = T(d.times(d), f, 1), i = s = 1 } u = c, i += 2 } } function L(e) { return String(e.s * e.s / 0) } function H(e, t) { var r, n, i; for ((r = t.indexOf(".")) > -1 && (t = t.replace(".", "")), (n = t.search(/e/i)) > 0 ? 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"-" + p : p } function J(e, t) { if (e.length > t) return e.length = t, !0 } function Y(e) { return new this(e).abs() } function X(e) { return new this(e).acos() } function Q(e) { return new this(e).acosh() } function K(e, t) { return new this(e).plus(t) } function ee(e) { return new this(e).asin() } function te(e) { return new this(e).asinh() } function re(e) { return new this(e).atan() } function ne(e) { return new this(e).atanh() } function ie(e, t) { e = new this(e), t = new this(t); var r, n = this.precision, i = this.rounding, a = n + 4; return e.s && t.s ? e.d || t.d ? !t.d || e.isZero() ? (r = t.s < 0 ? I(this, n, i) : new this(0)).s = e.s : !e.d || t.isZero() ? (r = I(this, a, 1).times(.5)).s = e.s : t.s < 0 ? 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[u, s] : [s] } else a = s.map((function (e) { return [e] })); return U(a, (function (t) { return e(r, n + 1, i.concat([t])) })) } return [i.map((function (e, t) { return { types: e, restParam: t === r.length - 1 && h(r) } }))] }(e, 0, []) } function T(e, n) { if (0 === Object.keys(n).length) throw new SyntaxError("No signatures provided"); var i = []; Object.keys(n).map((function (e) { return function (e, t, r) { var n = []; return "" !== e.trim() && (n = e.split(",").map(z).map((function (e, t, n) { var i = m(e, r); if (i.restParam && t !== n.length - 1) throw new SyntaxError('Unexpected rest parameter "' + e + '": only allowed for the last parameter'); return i }))), n.some(B) ? null : { params: n, fn: t } }(e, n[e], u.conversions) })).filter(I).forEach((function (e) { var t = P(i, (function (t) { return function (e, t) { for (var r = Math.max(e.params.length, t.params.length), n = 0; n < r; n++)if (!j(x(e, n, !0), x(t, n, !0))) return !1; var i = e.params.length, a = t.params.length, o = h(e.params), s = h(t.params); return o ? s ? i === a : a >= i : s ? i >= a : i === a }(t, e) })); if (t) throw new TypeError('Conflicting signatures "' + p(t.params) + '" and "' + p(e.params) + '".'); i.push(e) })); var a = U(i, (function (e) { return (e ? _(e.params, !1) : []).map((function (t) { return { params: t, fn: e.fn } })) })).filter(I); a.sort(O); var o = a[0] && a[0].params.length <= 2 && !h(a[0].params), s = a[1] && a[1].params.length <= 2 && !h(a[1].params), c = a[2] && a[2].params.length <= 2 && !h(a[2].params), f = a[3] && a[3].params.length <= 2 && !h(a[3].params), l = a[4] && a[4].params.length <= 2 && !h(a[4].params), v = a[5] && a[5].params.length <= 2 && !h(a[5].params), b = o && s && c && f && l && v, w = a.map((function (e) { return g(e.params) })), N = o ? y(a[0].params[0]) : t, S = s ? y(a[1].params[0]) : t, E = c ? y(a[2].params[0]) : t, A = f ? y(a[3].params[0]) : t, T = l ? y(a[4].params[0]) : t, q = v ? y(a[5].params[0]) : t, k = o ? y(a[0].params[1]) : t, D = s ? y(a[1].params[1]) : t, F = c ? y(a[2].params[1]) : t, L = f ? y(a[3].params[1]) : t, H = l ? y(a[4].params[1]) : t, $ = v ? y(a[5].params[1]) : t, G = a.map((function (e) { return function (e, t) { var r = t; if (e.some(d)) { var n = h(e), i = e.map(C); r = function () { for (var e = [], r = n ? arguments.length - 1 : arguments.length, a = 0; a < r; a++)e[a] = i[a](arguments[a]); return n && (e[r] = arguments[r].map(i[r])), t.apply(this, e) } } var a = r; if (h(e)) { var o = e.length - 1; a = function () { return r.apply(this, R(arguments, 0, o).concat([R(arguments, o)])) } } return a }(e.params, e.fn) })), V = o ? 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X.apply(e, arguments) : oe.apply(e, arguments) }; try { Object.defineProperty(se, "name", { value: e }) } catch (e) { } return se.signatures = function (e) { var t = {}; return e.forEach((function (e) { e.params.some(d) || _(e.params, !0).forEach((function (r) { t[p(r)] = e.fn })) })), t }(a), se } function q(e) { return -1 === u.ignore.indexOf(e) } function z(e) { return e.trim() } function k(e) { return !!e } function I(e) { return null !== e } function B(e) { return 0 === e.types.length } function D(e) { return e[e.length - 1] } function R(e, t, r) { return Array.prototype.slice.call(e, t, r) } function j(e, t) { for (var r = 0; r < e.length; r++)if (n = t, i = e[r], -1 !== n.indexOf(i)) return !0; var n, i; return !1 } function P(e, t) { for (var r = 0; r < e.length; r++)if (t(e[r])) return e[r] } function U(e, t) { return Array.prototype.concat.apply([], e.map(t)) } function F(e) { for (var t = "", r = 0; r < e.length; r++) { var n = e[r]; if (("object" == typeof n.signatures || "string" == typeof n.signature) && "" !== n.name) if ("" === t) t = n.name; else if (t !== n.name) { var i = new Error("Function names do not match (expected: " + t + ", actual: " + n.name + ")"); throw i.data = { actual: n.name, expected: t }, i } } return t } function L(e) { var t, r = {}; function n(e, n) { if (r.hasOwnProperty(e) && n !== r[e]) throw (t = new Error('Signature "' + e + '" is defined twice')).data = { signature: e }, t } for (var i = 0; i < e.length; i++) { var a = e[i]; if ("object" == typeof a.signatures) for (var o in a.signatures) a.signatures.hasOwnProperty(o) && (n(o, a.signatures[o]), r[o] = a.signatures[o]); else { if ("string" != typeof a.signature) throw (t = new TypeError("Function is no typed-function (index: " + i + ")")).data = { index: i }, t; n(a.signature, a), r[a.signature] = a } } return r } return (u = T("typed", { "string, Object": T, Object: function (e) { var t = []; for (var r in e) e.hasOwnProperty(r) && t.push(e[r]); return T(F(t), e) }, "...Function": function (e) { return T(F(e), L(e)) }, "string, ...Function": function (e, t) { return T(e, L(t)) } })).create = n, u.types = i, u.conversions = s, u.ignore = o, u.convert = function (e, t) { var r = l(e); if (t === r) return e; for (var n = 0; n < u.conversions.length; n++) { var i = u.conversions[n]; if (i.from === r && i.to === t) return i.convert(e) } throw new Error("Cannot convert from " + r + " to " + t) }, u.find = function (e, t) { if (!e.signatures) throw new TypeError("Function is no typed-function"); var r; if ("string" == typeof t) { r = t.split(","); for (var n = 0; n < r.length; n++)r[n] = r[n].trim() } else { if (!Array.isArray(t)) throw new TypeError("String array or a comma separated string expected"); r = t } var i = r.join(","), a = e.signatures[i]; if (a) return a; throw new TypeError("Signature not found (signature: " + (e.name || "unnamed") + "(" + r.join(", ") + "))") }, u.addType = function (e, t) { if (!e || "string" != typeof e.name || "function" != typeof e.test) throw new TypeError("Object with properties {name: string, test: function} expected"); if (!1 !== t) for (var r = 0; r < u.types.length; r++)if ("Object" === u.types[r].name) return void u.types.splice(r, 0, e); u.types.push(e) }, u.addConversion = function (e) { if (!e || "string" != typeof e.from || "string" != typeof e.to || "function" != typeof e.convert) throw new TypeError("Object with properties {from: string, to: string, convert: function} expected"); u.conversions.push(e) }, u }() }) ? n.apply(t, i) : n) || (e.exports = a) }, function (e, t, r) { var n = r(12), i = r(13), a = r(14), o = r(15), s = r(16), u = r(17), c = r(18); c.alea = n, c.xor128 = i, c.xorwow = a, c.xorshift7 = o, c.xor4096 = s, c.tychei = u, e.exports = c }, function (e, t) { function r() { } r.prototype = { on: function (e, t, r) { var n = this.e || (this.e = {}); return (n[e] || (n[e] = [])).push({ fn: t, ctx: r }), this }, once: function (e, t, r) { var n = this; function i() { n.off(e, i), t.apply(r, arguments) } return i._ = t, this.on(e, i, r) }, emit: function (e) { for (var t = [].slice.call(arguments, 1), r = ((this.e || (this.e = {}))[e] || []).slice(), n = 0, i = r.length; n < i; n++)r[n].fn.apply(r[n].ctx, t); return this }, off: function (e, t) { var r = this.e || (this.e = {}), n = r[e], i = []; if (n && t) for (var a = 0, o = n.length; a < o; a++)n[a].fn !== t && n[a].fn._ !== t && i.push(n[a]); return i.length ? r[e] = i : delete r[e], this } }, e.exports = r, e.exports.TinyEmitter = r }, function (e, t, r) { "use strict"; var n = Object.assign || function (e) { for (var t = 1; t < arguments.length; t++) { var r = arguments[t]; for (var n in r) Object.prototype.hasOwnProperty.call(r, n) && (e[n] = r[n]) } return e }, i = { "{": "\\{", "}": "\\}", "\\": "\\textbackslash{}", "#": "\\#", $: "\\$", "%": "\\%", "&": "\\&", "^": "\\textasciicircum{}", _: "\\_", "~": "\\textasciitilde{}" }, a = { "–": "\\--", "—": "\\---", " ": "~", "\t": "\\qquad{}", "\r\n": "\\newline{}", "\n": "\\newline{}" }, o = function (e, t) { return n({}, e, t) }; e.exports = function (e) { for (var t = arguments.length > 1 && void 0 !== arguments[1] ? arguments[1] : {}, r = t.preserveFormatting, s = void 0 !== r && r, u = t.escapeMapFn, c = void 0 === u ? o : u, f = String(e), l = "", p = c(n({}, i), s ? n({}, a) : {}), m = Object.keys(p), h = function () { var e = !1; m.forEach((function (t, r) { e || f.length >= t.length && f.slice(0, t.length) === t && (l += p[m[r]], f = f.slice(t.length, f.length), e = !0) })), e || (l += f.slice(0, 1), f = f.slice(1, f.length)) }; f;)h(); return l } }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t, r = this, n = (t = 4022871197, function (e) { e = String(e); for (var r = 0; r < e.length; r++) { var n = .02519603282416938 * (t += e.charCodeAt(r)); n -= t = n >>> 0, t = (n *= t) >>> 0, t += 4294967296 * (n -= t) } return 2.3283064365386963e-10 * (t >>> 0) }); r.next = function () { var e = 2091639 * r.s0 + 2.3283064365386963e-10 * r.c; return r.s0 = r.s1, r.s1 = r.s2, r.s2 = e - (r.c = 0 | e) }, r.c = 1, r.s0 = n(" "), r.s1 = n(" "), r.s2 = n(" "), r.s0 -= n(e), r.s0 < 0 && (r.s0 += 1), r.s1 -= n(e), r.s1 < 0 && (r.s1 += 1), r.s2 -= n(e), r.s2 < 0 && (r.s2 += 1), n = null } function s(e, t) { return t.c = e.c, t.s0 = e.s0, t.s1 = e.s1, t.s2 = e.s2, t } function u(e, t) { var r = new o(e), n = t && t.state, i = r.next; return i.int32 = function () { return 4294967296 * r.next() | 0 }, i.double = function () { return i() + 11102230246251565e-32 * (2097152 * i() | 0) }, i.quick = i, n && ("object" == typeof n && s(n, r), i.state = function () { return s(r, {}) }), i } i && i.exports ? i.exports = u : r(2) && r(6) ? void 0 === (n = function () { return u }.call(t, r, t, i)) || (i.exports = n) : this.alea = u }(0, e, r(2)) }).call(this, r(5)(e)) }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t = this, r = ""; t.x = 0, t.y = 0, t.z = 0, t.w = 0, t.next = function () { var e = t.x ^ t.x << 11; return t.x = t.y, t.y = t.z, t.z = t.w, t.w ^= t.w >>> 19 ^ e ^ e >>> 8 }, e === (0 | e) ? t.x = e : r += e; for (var n = 0; n < r.length + 64; n++)t.x ^= 0 | r.charCodeAt(n), t.next() } function s(e, t) { return t.x = e.x, t.y = e.y, t.z = e.z, t.w = e.w, t } function u(e, t) { var r = new o(e), n = t && t.state, i = function () { return (r.next() >>> 0) / 4294967296 }; return i.double = function () { do { var e = ((r.next() >>> 11) + (r.next() >>> 0) / 4294967296) / (1 << 21) } while (0 === e); return e }, i.int32 = r.next, i.quick = i, n && ("object" == typeof n && s(n, r), i.state = function () { return s(r, {}) }), i } i && i.exports ? i.exports = u : r(2) && r(6) ? void 0 === (n = function () { return u }.call(t, r, t, i)) || (i.exports = n) : this.xor128 = u }(0, e, r(2)) }).call(this, r(5)(e)) }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t = this, r = ""; t.next = function () { var e = t.x ^ t.x >>> 2; return t.x = t.y, t.y = t.z, t.z = t.w, t.w = t.v, (t.d = t.d + 362437 | 0) + (t.v = t.v ^ t.v << 4 ^ e ^ e << 1) | 0 }, t.x = 0, t.y = 0, t.z = 0, t.w = 0, t.v = 0, e === (0 | e) ? t.x = e : r += e; for (var n = 0; n < r.length + 64; n++)t.x ^= 0 | r.charCodeAt(n), n == r.length && (t.d = t.x << 10 ^ t.x >>> 4), t.next() } function s(e, t) { return t.x = e.x, t.y = e.y, t.z = e.z, t.w = e.w, t.v = e.v, t.d = e.d, t } function u(e, t) { var r = new o(e), n = t && t.state, i = function () { return (r.next() >>> 0) / 4294967296 }; return i.double = function () { do { var e = ((r.next() >>> 11) + (r.next() >>> 0) / 4294967296) / (1 << 21) } while (0 === e); return e }, i.int32 = r.next, i.quick = i, n && ("object" == typeof n && s(n, r), i.state = function () { return s(r, {}) }), i } i && i.exports ? i.exports = u : r(2) && r(6) ? void 0 === (n = function () { return u }.call(t, r, t, i)) || (i.exports = n) : this.xorwow = u }(0, e, r(2)) }).call(this, r(5)(e)) }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t = this; t.next = function () { var e, r, n = t.x, i = t.i; return e = n[i], r = (e ^= e >>> 7) ^ e << 24, r ^= (e = n[i + 1 & 7]) ^ e >>> 10, r ^= (e = n[i + 3 & 7]) ^ e >>> 3, r ^= (e = n[i + 4 & 7]) ^ e << 7, e = n[i + 7 & 7], r ^= (e ^= e << 13) ^ e << 9, n[i] = r, t.i = i + 1 & 7, r }, function (e, t) { var r, n = []; if (t === (0 | t)) n[0] = t; else for (t = "" + t, r = 0; r < t.length; ++r)n[7 & r] = n[7 & r] << 15 ^ t.charCodeAt(r) + n[r + 1 & 7] << 13; for (; n.length < 8;)n.push(0); for (r = 0; r < 8 && 0 === n[r]; ++r); for (8 == r ? n[7] = -1 : n[r], e.x = n, e.i = 0, r = 256; r > 0; --r)e.next() }(t, e) } function s(e, t) { return t.x = e.x.slice(), t.i = e.i, t } function u(e, t) { null == e && (e = +new Date); var r = new o(e), n = t && t.state, i = function () { return (r.next() >>> 0) / 4294967296 }; return i.double = function () { do { var e = ((r.next() >>> 11) + (r.next() >>> 0) / 4294967296) / (1 << 21) } while (0 === e); return e }, i.int32 = r.next, i.quick = i, n && (n.x && s(n, r), i.state = function () { return s(r, {}) }), i } i && i.exports ? i.exports = u : r(2) && r(6) ? void 0 === (n = function () { return u }.call(t, r, t, i)) || (i.exports = n) : this.xorshift7 = u }(0, e, r(2)) }).call(this, r(5)(e)) }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t = this; t.next = function () { var e, r, n = t.w, i = t.X, a = t.i; return t.w = n = n + 1640531527 | 0, r = i[a + 34 & 127], e = i[a = a + 1 & 127], r ^= r << 13, e ^= e << 17, r ^= r >>> 15, e ^= e >>> 12, r = i[a] = r ^ e, t.i = a, r + (n ^ n >>> 16) | 0 }, function (e, t) { var r, n, i, a, o, s = [], u = 128; for (t === (0 | t) ? (n = t, t = null) : (t += "\0", n = 0, u = Math.max(u, t.length)), i = 0, a = -32; a < u; ++a)t && (n ^= t.charCodeAt((a + 32) % t.length)), 0 === a && (o = n), n ^= n << 10, n ^= n >>> 15, n ^= n << 4, n ^= n >>> 13, a >= 0 && (o = o + 1640531527 | 0, i = 0 == (r = s[127 & a] ^= n + o) ? i + 1 : 0); for (i >= 128 && (s[127 & (t && t.length || 0)] = -1), i = 127, a = 512; a > 0; --a)n = s[i + 34 & 127], r = s[i = i + 1 & 127], n ^= n << 13, r ^= r << 17, n ^= n >>> 15, r ^= r >>> 12, s[i] = n ^ r; e.w = o, e.X = s, e.i = i }(t, e) } function s(e, t) { return t.i = e.i, t.w = e.w, t.X = e.X.slice(), t } function u(e, t) { null == e && (e = +new Date); var r = new o(e), n = t && t.state, i = function () { return (r.next() >>> 0) / 4294967296 }; return i.double = function () { do { var e = ((r.next() >>> 11) + (r.next() >>> 0) / 4294967296) / (1 << 21) } while (0 === e); return e }, i.int32 = r.next, i.quick = i, n && (n.X && s(n, r), i.state = function () { return s(r, {}) }), i } i && i.exports ? i.exports = u : r(2) && r(6) ? void 0 === (n = function () { return u }.call(t, r, t, i)) || (i.exports = n) : this.xor4096 = u }(0, e, r(2)) }).call(this, r(5)(e)) }, function (e, t, r) { (function (e) { var n; !function (e, i, a) { function o(e) { var t = this, r = ""; t.next = function () { var e = t.b, r = t.c, n = t.d, i = t.a; return e = e << 25 ^ e >>> 7 ^ r, r = r - n | 0, n = n << 24 ^ n >>> 8 ^ i, i = i - e | 0, t.b = e = e << 20 ^ e >>> 12 ^ r, t.c = r = r - n | 0, t.d = n << 16 ^ r >>> 16 ^ i, t.a = i - e | 0 }, t.a = 0, t.b = 0, t.c = -1640531527, t.d = 1367130551, e === Math.floor(e) ? 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Use function bignumber(x) to convert to BigNumber."); return new t(e) } }, { from: "number", to: "Complex", convert: function (e) { return r || tt(e), new r(e, 0) } }, { from: "number", to: "string", convert: function (e) { return e + "" } }, { from: "BigNumber", to: "Complex", convert: function (e) { return r || tt(e), new r(e.toNumber(), 0) } }, { from: "Fraction", to: "BigNumber", convert: function (e) { throw new TypeError("Cannot implicitly convert a Fraction to BigNumber or vice versa. Use function bignumber(x) to convert to BigNumber or fraction(x) to convert to Fraction.") } }, { from: "Fraction", to: "Complex", convert: function (e) { return r || tt(e), new r(e.valueOf(), 0) } }, { from: "number", to: "Fraction", convert: function (e) { i || rt(e); var t = new i(e); if (t.valueOf() !== e) throw new TypeError("Cannot implicitly convert a number to a Fraction when there will be a loss of precision (value: " + e + "). Use function fraction(x) to convert to Fraction."); return t } }, { from: "string", to: "number", convert: function (e) { var t = Number(e); if (isNaN(t)) throw new Error('Cannot convert "' + e + '" to a number'); return t } }, { from: "string", to: "BigNumber", convert: function (e) { t || et(e); try { return new t(e) } catch (t) { throw new Error('Cannot convert "' + e + '" to BigNumber') } } }, { from: "string", to: "Fraction", convert: function (e) { i || rt(e); try { return new i(e) } catch (t) { throw new Error('Cannot convert "' + e + '" to Fraction') } } }, { from: "string", to: "Complex", convert: function (e) { r || tt(e); try { return new r(e) } catch (t) { throw new Error('Cannot convert "' + e + '" to Complex') } } }, { from: "boolean", to: "number", convert: function (e) { return +e } }, { from: "boolean", to: "BigNumber", convert: function (e) { return t || et(e), new t(+e) } }, { from: "boolean", to: "Fraction", convert: function (e) { return i || rt(e), new i(+e) } }, { from: "boolean", to: "string", convert: function (e) { return String(e) } }, { from: "Array", to: "Matrix", convert: function (e) { return n || function () { throw new Error("Cannot convert array into a Matrix: no class 'DenseMatrix' provided") }(), new n(e) } }, { from: "Matrix", to: "Array", convert: function (e) { return e.valueOf() } }], m })); function et(e) { throw new Error("Cannot convert value ".concat(e, " into a BigNumber: no class 'BigNumber' provided")) } function tt(e) { throw new Error("Cannot convert value ".concat(e, " into a Complex number: no class 'Complex' provided")) } function rt(e) { throw new Error("Cannot convert value ".concat(e, " into a Fraction, no class 'Fraction' provided.")) } var nt = Je("ResultSet", [], (function () { function e(t) { if (!(this instanceof e)) throw new SyntaxError("Constructor must be called with the new operator"); this.entries = t || [] } return e.prototype.type = "ResultSet", e.prototype.isResultSet = !0, e.prototype.valueOf = function () { return this.entries }, e.prototype.toString = function () { return "[" + this.entries.join(", ") + "]" }, e.prototype.toJSON = function () { return { mathjs: "ResultSet", entries: this.entries } }, e.fromJSON = function (t) { return new e(t.entries) }, e }), { isClass: !0 }), it = r(7), at = r.n(it), ot = Je("BigNumber", ["?on", "config"], (function (e) { var t = e.on, r = e.config, n = at.a.clone({ precision: r.precision, modulo: 9 }); return n.prototype.type = "BigNumber", n.prototype.isBigNumber = !0, n.prototype.toJSON = function () { return { mathjs: "BigNumber", value: this.toString() } }, n.fromJSON = function (e) { return new n(e.value) }, t && t("config", (function (e, t) { e.precision !== t.precision && n.config({ precision: e.precision }) })), n }), { isClass: !0 }), st = r(1), ut = r.n(st); function ct(e) { return (ct = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } var ft = Je("Complex", [], (function () { return ut.a.prototype.type = "Complex", ut.a.prototype.isComplex = !0, ut.a.prototype.toJSON = function () { return { mathjs: "Complex", re: this.re, im: this.im } }, ut.a.prototype.toPolar = function () { return { r: this.abs(), phi: this.arg() } }, ut.a.prototype.format = function (e) { var t = this.im, r = this.re, n = K(this.re, e), i = K(this.im, e), o = a(e) ? e : e ? e.precision : null; if (null !== o) { var s = Math.pow(10, -o); Math.abs(r / t) < s && (r = 0), Math.abs(t / r) < s && (t = 0) } return 0 === t ? n : 0 === r ? 1 === t ? "i" : -1 === t ? "-i" : i + "i" : t < 0 ? -1 === t ? n + " - i" : n + " - " + i.substring(1) + "i" : 1 === t ? n + " + i" : n + " + " + i + "i" }, ut.a.fromPolar = function (e) { switch (arguments.length) { case 1: var t = arguments[0]; if ("object" === ct(t)) return ut()(t); throw new TypeError("Input has to be an object with r and phi keys."); case 2: var r = arguments[0], n = arguments[1]; if (a(r)) { if (c(n) && n.hasBase("ANGLE") && (n = n.toNumber("rad")), a(n)) return new ut.a({ r: r, phi: n }); throw new TypeError("Phi is not a number nor an angle unit.") } throw new TypeError("Radius r is not a number."); default: throw new SyntaxError("Wrong number of arguments in function fromPolar") } }, ut.a.prototype.valueOf = ut.a.prototype.toString, ut.a.fromJSON = function (e) { return new ut.a(e) }, ut.a.compare = function (e, t) { return e.re > t.re ? 1 : e.re < t.re ? -1 : e.im > t.im ? 1 : e.im < t.im ? -1 : 0 }, ut.a }), { isClass: !0 }), lt = r(3), pt = r.n(lt), mt = Je("Fraction", [], (function () { return pt.a.prototype.type = "Fraction", pt.a.prototype.isFraction = !0, pt.a.prototype.toJSON = function () { return { mathjs: "Fraction", n: this.s * this.n, d: this.d } }, pt.a.fromJSON = function (e) { return new pt.a(e) }, pt.a }), { isClass: !0 }), ht = Je("Range", [], (function () { function e(t, r, n) { if (!(this instanceof e)) throw new SyntaxError("Constructor must be called with the new operator"); var i = null != t, a = null != r, s = null != n; if (i) if (o(t)) t = t.toNumber(); else if ("number" != typeof t) throw new TypeError("Parameter start must be a number"); if (a) if (o(r)) r = r.toNumber(); else if ("number" != typeof r) throw new TypeError("Parameter end must be a number"); if (s) if (o(n)) n = n.toNumber(); else if ("number" != typeof n) throw new TypeError("Parameter step must be a number"); this.start = i ? parseFloat(t) : 0, this.end = a ? parseFloat(r) : 0, this.step = s ? parseFloat(n) : 1 } return e.prototype.type = "Range", e.prototype.isRange = !0, e.parse = function (t) { if ("string" != typeof t) return null; var r = t.split(":").map((function (e) { return parseFloat(e) })); if (r.some((function (e) { return isNaN(e) }))) return null; switch (r.length) { case 2: return new e(r[0], r[1]); case 3: return new e(r[0], r[2], r[1]); default: return null } }, e.prototype.clone = function () { return new e(this.start, this.end, this.step) }, e.prototype.size = function () { var e = 0, t = this.start, r = this.step, n = this.end - t; return Z(r) === Z(n) ? e = Math.ceil(n / r) : 0 === n && (e = 0), isNaN(e) && (e = 0), [e] }, e.prototype.min = function () { var e = this.size()[0]; return e > 0 ? this.step > 0 ? this.start : this.start + (e - 1) * this.step : void 0 }, e.prototype.max = function () { var e = this.size()[0]; return e > 0 ? this.step > 0 ? this.start + (e - 1) * this.step : this.start : void 0 }, e.prototype.forEach = function (e) { var t = this.start, r = this.step, n = this.end, i = 0; if (r > 0) for (; t < n;)e(t, [i], this), t += r, i++; else if (r < 0) for (; t > n;)e(t, [i], this), t += r, i++ }, e.prototype.map = function (e) { var t = []; return this.forEach((function (r, n, i) { t[n[0]] = e(r, n, i) })), t }, e.prototype.toArray = function () { var e = []; return this.forEach((function (t, r) { e[r[0]] = t })), e }, e.prototype.valueOf = function () { return this.toArray() }, e.prototype.format = function (e) { var t = K(this.start, e); return 1 !== this.step && (t += ":" + K(this.step, e)), t += ":" + K(this.end, e) }, e.prototype.toString = function () { return this.format() }, e.prototype.toJSON = function () { return { mathjs: "Range", start: this.start, end: this.end, step: this.step } }, e.fromJSON = function (t) { return new e(t.start, t.end, t.step) }, e }), { isClass: !0 }), dt = Je("Matrix", [], (function () { function e() { if (!(this instanceof e)) throw new SyntaxError("Constructor must be called with the new operator") } return e.prototype.type = "Matrix", e.prototype.isMatrix = !0, e.prototype.storage = function () { throw new Error("Cannot invoke storage on a Matrix interface") }, e.prototype.datatype = function () { throw new Error("Cannot invoke datatype on a Matrix interface") }, e.prototype.create = function (e, t) { throw new Error("Cannot invoke create on a Matrix interface") }, e.prototype.subset = function (e, t, r) { throw new Error("Cannot invoke subset on a Matrix interface") }, e.prototype.get = function (e) { throw new Error("Cannot invoke get on a Matrix interface") }, e.prototype.set = function (e, t, r) { throw new Error("Cannot invoke set on a Matrix interface") }, e.prototype.resize = function (e, t) { throw new Error("Cannot invoke resize on a Matrix interface") }, e.prototype.reshape = function (e, t) { throw new Error("Cannot invoke reshape on a Matrix interface") }, e.prototype.clone = function () { throw new Error("Cannot invoke clone on a Matrix interface") }, e.prototype.size = function () { throw new Error("Cannot invoke size on a Matrix interface") }, e.prototype.map = function (e, t) { throw new Error("Cannot invoke map on a Matrix interface") }, e.prototype.forEach = function (e) { throw new Error("Cannot invoke forEach on a Matrix interface") }, e.prototype.toArray = function () { throw new Error("Cannot invoke toArray on a Matrix interface") }, e.prototype.valueOf = function () { throw new Error("Cannot invoke valueOf on a Matrix interface") }, e.prototype.format = function (e) { throw new Error("Cannot invoke format on a Matrix interface") }, e.prototype.toString = function () { throw new Error("Cannot invoke toString on a Matrix interface") }, e }), { isClass: !0 }), yt = Je("DenseMatrix", ["Matrix"], (function (e) { var t = e.Matrix; function r(e, t) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (t && !f(t)) throw new Error("Invalid datatype: " + t); if (p(e)) "DenseMatrix" === e.type ? (this._data = Fe(e._data), this._size = Fe(e._size), this._datatype = t || e._datatype) : (this._data = e.toArray(), this._size = e.size(), this._datatype = t || e._datatype); else if (e && l(e.data) && l(e.size)) this._data = e.data, this._size = e.size, Se(this._data, this._size), this._datatype = t || e.datatype; else if (l(e)) this._data = function e(t) { for (var r = 0, n = t.length; r < n; r++) { var i = t[r]; l(i) ? t[r] = e(i) : i && !0 === i.isMatrix && (t[r] = e(i.valueOf())) } return t }(e), this._size = Me(this._data), Se(this._data, this._size), this._datatype = t; else { if (e) throw new TypeError("Unsupported type of data (" + H(e) + ")"); this._data = [], this._size = [0], this._datatype = t } } function n(e, t) { if (!g(t)) throw new TypeError("Invalid index"); if (t.isScalar()) return e.get(t.min()); var n = t.size(); if (n.length !== e._size.length) throw new we(n.length, e._size.length); for (var i = t.min(), a = t.max(), o = 0, s = e._size.length; o < s; o++)Ee(i[o], e._size[o]), Ee(a[o], e._size[o]); return new r(function e(t, r, n, i) { var a = i === n - 1, o = r.dimension(i); return a ? o.map((function (e) { return Ee(e, t.length), t[e] })).valueOf() : o.map((function (a) { Ee(a, t.length); var o = t[a]; return e(o, r, n, i + 1) })).valueOf() }(e._data, t, n.length, 0), e._datatype) } function i(e, t, r, n) { if (!t || !0 !== t.isIndex) throw new TypeError("Invalid index"); var i, a = t.size(), o = t.isScalar(); if (p(r) ? (i = r.size(), r = r.valueOf()) : i = Me(r), o) { if (0 !== i.length) throw new TypeError("Scalar expected"); e.set(t.min(), r, n) } else { if (a.length < e._size.length) throw new we(a.length, e._size.length, "<"); if (i.length < a.length) { for (var s = 0, c = 0; 1 === a[s] && 1 === i[s];)s++; for (; 1 === a[s];)c++, s++; r = _e(r, a.length, c, i) } if (!$e(a, i)) throw new we(a, i, ">"); u(e, t.max().map((function (e) { return e + 1 })), n); var f = a.length; !function e(t, r, n, i, a) { var o = a === i - 1, s = r.dimension(a); o ? s.forEach((function (e, r) { Ee(e), t[e] = n[r[0]] })) : s.forEach((function (o, s) { Ee(o), e(t[o], r, n[s[0]], i, a + 1) })) }(e._data, t, r, f, 0) } return e } function s(e, t, r) { if (0 === t.length) { for (var n = e._data; l(n);)n = n[0]; return n } return e._size = t.slice(0), e._data = Ae(e._data, e._size, r), e } function u(e, t, r) { for (var n = e._size.slice(0), i = !1; n.length < t.length;)n.push(0), i = !0; for (var a = 0, o = t.length; a < o; a++)t[a] > n[a] && (n[a] = t[a], i = !0); i && s(e, n, r) } return r.prototype = new t, r.prototype.createDenseMatrix = function (e, t) { return new r(e, t) }, r.prototype.type = "DenseMatrix", r.prototype.isDenseMatrix = !0, r.prototype.getDataType = function () { return je(this._data, H) }, r.prototype.storage = function () { return "dense" }, r.prototype.datatype = function () { return this._datatype }, r.prototype.create = function (e, t) { return new r(e, t) }, r.prototype.subset = function (e, t, r) { switch (arguments.length) { case 1: return n(this, e); case 2: case 3: return i(this, e, t, r); default: throw new SyntaxError("Wrong number of arguments") } }, r.prototype.get = function (e) { if (!l(e)) throw new TypeError("Array expected"); if (e.length !== this._size.length) throw new we(e.length, this._size.length); for (var t = 0; t < e.length; t++)Ee(e[t], this._size[t]); for (var r = this._data, n = 0, i = e.length; n < i; n++) { var a = e[n]; Ee(a, r.length), r = r[a] } return r }, r.prototype.set = function (e, t, r) { if (!l(e)) throw new TypeError("Array expected"); if (e.length < this._size.length) throw new we(e.length, this._size.length, "<"); var n, i, a; u(this, e.map((function (e) { return e + 1 })), r); var o = this._data; for (n = 0, i = e.length - 1; n < i; n++)Ee(a = e[n], o.length), o = o[a]; return Ee(a = e[e.length - 1], o.length), o[a] = t, this }, r.prototype.resize = function (e, t, r) { if (!m(e)) throw new TypeError("Array or Matrix expected"); var n = e.valueOf().map((function (e) { return Array.isArray(e) && 1 === e.length ? e[0] : e })); return s(r ? this.clone() : this, n, t) }, r.prototype.reshape = function (e, t) { var r = t ? this.clone() : this; return r._data = Oe(r._data, e), r._size = e.slice(0), r }, r.prototype.clone = function () { return new r({ data: Fe(this._data), size: Fe(this._size), datatype: this._datatype }) }, r.prototype.size = function () { return this._size.slice(0) }, r.prototype.map = function (e) { var t = this, n = function r(n, i) { return l(n) ? n.map((function (e, t) { return r(e, i.concat(t)) })) : e(n, i, t) }(this._data, []); return new r(n, void 0 !== this._datatype ? je(n, H) : void 0) }, r.prototype.forEach = function (e) { var t = this; !function r(n, i) { l(n) ? n.forEach((function (e, t) { r(e, i.concat(t)) })) : e(n, i, t) }(this._data, []) }, r.prototype.toArray = function () { return Fe(this._data) }, r.prototype.valueOf = function () { return this._data }, r.prototype.format = function (e) { return ge(this._data, e) }, r.prototype.toString = function () { return ge(this._data) }, r.prototype.toJSON = function () { return { mathjs: "DenseMatrix", data: this._data, size: this._size, datatype: this._datatype } }, r.prototype.diagonal = function (e) { if (e) { if (o(e) && (e = e.toNumber()), !a(e) || !V(e)) throw new TypeError("The parameter k must be an integer number") } else e = 0; for (var t = e > 0 ? e : 0, n = e < 0 ? -e : 0, i = this._size[0], s = this._size[1], u = Math.min(i - n, s - t), c = [], f = 0; f < u; f++)c[f] = this._data[f + n][f + t]; return new r({ data: c, size: [u], datatype: this._datatype }) }, r.diagonal = function (e, t, n, i) { if (!l(e)) throw new TypeError("Array expected, size parameter"); if (2 !== e.length) throw new Error("Only two dimensions matrix are supported"); if (e = e.map((function (e) { if (o(e) && (e = e.toNumber()), !a(e) || !V(e) || e < 1) throw new Error("Size values must be positive integers"); return e })), n) { if (o(n) && (n = n.toNumber()), !a(n) || !V(n)) throw new TypeError("The parameter k must be an integer number") } else n = 0; var s, u = n > 0 ? n : 0, c = n < 0 ? -n : 0, f = e[0], m = e[1], h = Math.min(f - c, m - u); if (l(t)) { if (t.length !== h) throw new Error("Invalid value array length"); s = function (e) { return t[e] } } else if (p(t)) { var d = t.size(); if (1 !== d.length || d[0] !== h) throw new Error("Invalid matrix length"); s = function (e) { return t.get([e]) } } else s = function () { return t }; i || (i = o(s(0)) ? s(0).mul(0) : 0); var y = []; if (e.length > 0) { y = Ae(y, e, i); for (var g = 0; g < h; g++)y[g + c][g + u] = s(g) } return new r({ data: y, size: [f, m] }) }, r.fromJSON = function (e) { return new r(e) }, r.prototype.swapRows = function (e, t) { if (!(a(e) && V(e) && a(t) && V(t))) throw new Error("Row index must be positive integers"); if (2 !== this._size.length) throw new Error("Only two dimensional matrix is supported"); return Ee(e, this._size[0]), Ee(t, this._size[0]), r._swapRows(e, t, this._data), this }, r._swapRows = function (e, t, r) { var n = r[e]; r[e] = r[t], r[t] = n }, r }), { isClass: !0 }), gt = Je("clone", ["typed"], (function (e) { return (0, e.typed)("clone", { any: Fe }) })); function vt(e) { for (var t = 0; t < e.length; t++)if (m(e[t])) return !0; return !1 } function xt(e, t) { p(e) && (e = e.valueOf()); for (var r = 0, n = e.length; r < n; r++) { var i = e[r]; Array.isArray(i) ? xt(i, t) : t(i) } } function bt(e, t, r) { return e && "function" == typeof e.map ? e.map((function (e) { return bt(e, t, r) })) : t(e) } function wt(e, t, r) { var n = Array.isArray(e) ? Me(e) : e.size(); if (t < 0 || t >= n.length) throw new Ne(t, n.length); return p(e) ? e.create(Nt(e.valueOf(), t, r)) : Nt(e, t, r) } function Nt(e, t, r) { var n, i, a, o; if (t <= 0) { if (Array.isArray(e[0])) { for (o = function (e) { var t, r, n = e.length, i = e[0].length, a = []; for (r = 0; r < i; r++) { var o = []; for (t = 0; t < n; t++)o.push(e[t][r]); a.push(o) } return a }(e), i = [], n = 0; n < o.length; n++)i[n] = Nt(o[n], t - 1, r); return i } for (a = e[0], n = 1; n < e.length; n++)a = r(a, e[n]); return a } for (i = [], n = 0; n < e.length; n++)i[n] = Nt(e[n], t - 1, r); return i } function Mt(e, t, r, n, i, a, o, s, u, c, f) { var l, p, m, h, d = e._values, y = e._index, g = e._ptr; if (n) for (p = g[t], m = g[t + 1], l = p; l < m; l++)r[h = y[l]] !== a ? (r[h] = a, o.push(h), c ? (n[h] = u ? s(d[l], f) : s(f, d[l]), i[h] = a) : n[h] = d[l]) : (n[h] = u ? s(d[l], n[h]) : s(n[h], d[l]), i[h] = a); else for (p = g[t], m = g[t + 1], l = p; l < m; l++)r[h = y[l]] !== a ? (r[h] = a, o.push(h)) : i[h] = a } var St = Je("isInteger", ["typed"], (function (e) { return (0, e.typed)("isInteger", { number: V, BigNumber: function (e) { return e.isInt() }, Fraction: function (e) { return 1 === e.d && isFinite(e.n) }, "Array | Matrix": function (e) { return bt(e, this) } }) })); function Et(e) { return e < 0 } function At(e) { return e > 0 } function Ot(e) { return 0 === e } function Ct(e) { return Number.isNaN(e) } Et.signature = "number", At.signature = "number", Ot.signature = "number", Ct.signature = "number"; var _t = Je("isNegative", ["typed"], (function (e) { return (0, e.typed)("isNegative", { number: Et, BigNumber: function (e) { return e.isNeg() && !e.isZero() && !e.isNaN() }, Fraction: function (e) { return e.s < 0 }, Unit: function (e) { return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Tt = Je("isNumeric", ["typed"], (function (e) { return (0, e.typed)("isNumeric", { "number | BigNumber | Fraction | boolean": function () { return !0 }, "Complex | Unit | string | null | undefined | Node": function () { return !1 }, "Array | Matrix": function (e) { return bt(e, this) } }) })), qt = Je("hasNumericValue", ["typed", "isNumeric"], (function (e) { var t = e.typed, r = e.isNumeric; return t("hasNumericValue", { string: function (e) { return e.trim().length > 0 && !isNaN(Number(e)) }, any: function (e) { return r(e) } }) })), zt = Je("isPositive", ["typed"], (function (e) { return (0, e.typed)("isPositive", { number: At, BigNumber: function (e) { return !e.isNeg() && !e.isZero() && !e.isNaN() }, Fraction: function (e) { return e.s > 0 && e.n > 0 }, Unit: function (e) { return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), kt = Je("isZero", ["typed"], (function (e) { return (0, e.typed)("isZero", { number: Ot, BigNumber: function (e) { return e.isZero() }, Complex: function (e) { return 0 === e.re && 0 === e.im }, Fraction: function (e) { return 1 === e.d && 0 === e.n }, Unit: function (e) { return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), It = Je("isNaN", ["typed"], (function (e) { return (0, e.typed)("isNaN", { number: Ct, BigNumber: function (e) { return e.isNaN() }, Fraction: function (e) { return !1 }, Complex: function (e) { return e.isNaN() }, Unit: function (e) { return Number.isNaN(e.value) }, "Array | Matrix": function (e) { return bt(e, Number.isNaN) } }) })), Bt = Je("typeOf", ["typed"], (function (e) { return (0, e.typed)("typeOf", { any: H }) })); function Dt(e, t, r) { if (null == r) return e.eq(t); if (e.eq(t)) return !0; if (e.isNaN() || t.isNaN()) return !1; if (e.isFinite() && t.isFinite()) { var n = e.minus(t).abs(); if (n.isZero()) return !0; var i = e.constructor.max(e.abs(), t.abs()); return n.lte(i.times(r)) } return !1 } var Rt = Je("equalScalar", ["typed", "config"], (function (e) { var t = e.typed, r = e.config; return t("equalScalar", { "boolean, boolean": function (e, t) { return e === t }, "number, number": function (e, t) { return oe(e, t, r.epsilon) }, "BigNumber, BigNumber": function (e, t) { return e.eq(t) || Dt(e, t, r.epsilon) }, "Fraction, Fraction": function (e, t) { return e.equals(t) }, "Complex, Complex": function (e, t) { return function (e, t, r) { return oe(e.re, t.re, r) && oe(e.im, t.im, r) }(e, t, r.epsilon) }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) } }) })), jt = (Je("equalScalar", ["typed", "config"], (function (e) { var t = e.typed, r = e.config; return t("equalScalar", { "number, number": function (e, t) { return oe(e, t, r.epsilon) } }) })), Je("SparseMatrix", ["typed", "equalScalar", "Matrix"], (function (e) { var t = e.typed, r = e.equalScalar, n = e.Matrix; function i(e, t) { if (!(this instanceof i)) throw new SyntaxError("Constructor must be called with the new operator"); if (t && !f(t)) throw new Error("Invalid datatype: " + t); if (p(e)) !function (e, t, r) { "SparseMatrix" === t.type ? (e._values = t._values ? Fe(t._values) : void 0, e._index = Fe(t._index), e._ptr = Fe(t._ptr), e._size = Fe(t._size), e._datatype = r || t._datatype) : s(e, t.valueOf(), r || t._datatype) }(this, e, t); else if (e && l(e.index) && l(e.ptr) && l(e.size)) this._values = e.values, this._index = e.index, this._ptr = e.ptr, this._size = e.size, this._datatype = t || e.datatype; else if (l(e)) s(this, e, t); else { if (e) throw new TypeError("Unsupported type of data (" + H(e) + ")"); this._values = [], this._index = [], this._ptr = [0], this._size = [0, 0], this._datatype = t } } function s(e, n, i) { e._values = [], e._index = [], e._ptr = [], e._datatype = i; var a = n.length, o = 0, s = r, u = 0; if (f(i) && (s = t.find(r, [i, i]) || r, u = t.convert(0, i)), a > 0) { var c = 0; do { e._ptr.push(e._index.length); for (var p = 0; p < a; p++) { var m = n[p]; if (l(m)) { if (0 === c && o < m.length && (o = m.length), c < m.length) { var h = m[c]; s(h, u) || (e._values.push(h), e._index.push(p)) } } else 0 === c && o < 1 && (o = 1), s(m, u) || (e._values.push(m), e._index.push(p)) } c++ } while (c < o) } e._ptr.push(e._index.length), e._size = [a, o] } function u(e, t) { if (!g(t)) throw new TypeError("Invalid index"); if (t.isScalar()) return e.get(t.min()); var r, n, a, o, s = t.size(); if (s.length !== e._size.length) throw new we(s.length, e._size.length); var u = t.min(), c = t.max(); for (r = 0, n = e._size.length; r < n; r++)Ee(u[r], e._size[r]), Ee(c[r], e._size[r]); var f = e._values, l = e._index, p = e._ptr, m = t.dimension(0), h = t.dimension(1), d = [], y = []; m.forEach((function (e, t) { y[e] = t[0], d[e] = !0 })); var v = f ? [] : void 0, x = [], b = []; return h.forEach((function (e) { for (b.push(x.length), a = p[e], o = p[e + 1]; a < o; a++)r = l[a], !0 === d[r] && (x.push(y[r]), v && v.push(f[a])) })), b.push(x.length), new i({ values: v, index: x, ptr: b, size: s, datatype: e._datatype }) } function c(e, t, r, n) { if (!t || !0 !== t.isIndex) throw new TypeError("Invalid index"); var i, a = t.size(), o = t.isScalar(); if (p(r) ? (i = r.size(), r = r.toArray()) : i = Me(r), o) { if (0 !== i.length) throw new TypeError("Scalar expected"); e.set(t.min(), r, n) } else { if (1 !== a.length && 2 !== a.length) throw new we(a.length, e._size.length, "<"); if (i.length < a.length) { for (var s = 0, u = 0; 1 === a[s] && 1 === i[s];)s++; for (; 1 === a[s];)u++, s++; r = _e(r, a.length, u, i) } if (!$e(a, i)) throw new we(a, i, ">"); for (var c = t.min()[0], f = t.min()[1], l = i[0], m = i[1], h = 0; h < l; h++)for (var d = 0; d < m; d++) { var y = r[h][d]; e.set([h + c, d + f], y, n) } } return e } function h(e, t, r, n) { if (r - t == 0) return r; for (var i = t; i < r; i++)if (n[i] === e) return i; return t } function d(e, t, r, n, i, a, o) { i.splice(e, 0, n), a.splice(e, 0, t); for (var s = r + 1; s < o.length; s++)o[s]++ } function y(e, n, i, a) { var o = a || 0, s = r, u = 0; f(e._datatype) && (s = t.find(r, [e._datatype, e._datatype]) || r, u = t.convert(0, e._datatype), o = t.convert(o, e._datatype)); var c, l, p, m = !s(o, u), h = e._size[0], d = e._size[1]; if (i > d) { for (l = d; l < i; l++)if (e._ptr[l] = e._values.length, m) for (c = 0; c < h; c++)e._values.push(o), e._index.push(c); e._ptr[i] = e._values.length } else i < d && (e._ptr.splice(i + 1, d - i), e._values.splice(e._ptr[i], e._values.length), e._index.splice(e._ptr[i], e._index.length)); if (d = i, n > h) { if (m) { var y = 0; for (l = 0; l < d; l++) { e._ptr[l] = e._ptr[l] + y, p = e._ptr[l + 1] + y; var g = 0; for (c = h; c < n; c++, g++)e._values.splice(p + g, 0, o), e._index.splice(p + g, 0, c), y++ } e._ptr[d] = e._values.length } } else if (n < h) { var v = 0; for (l = 0; l < d; l++) { e._ptr[l] = e._ptr[l] - v; var x = e._ptr[l], b = e._ptr[l + 1] - v; for (p = x; p < b; p++)(c = e._index[p]) > n - 1 && (e._values.splice(p, 1), e._index.splice(p, 1), v++) } e._ptr[l] = e._values.length } return e._size[0] = n, e._size[1] = i, e } function v(e, t, r, n, i) { var a, o, s = n[0], u = n[1], c = []; for (a = 0; a < s; a++)for (c[a] = [], o = 0; o < u; o++)c[a][o] = 0; for (o = 0; o < u; o++)for (var f = r[o], l = r[o + 1], p = f; p < l; p++)c[a = t[p]][o] = e ? i ? Fe(e[p]) : e[p] : 1; return c } return i.prototype = new n, i.prototype.createSparseMatrix = function (e, t) { return new i(e, t) }, i.prototype.type = "SparseMatrix", i.prototype.isSparseMatrix = !0, i.prototype.getDataType = function () { return je(this._values, H) }, i.prototype.storage = function () { return "sparse" }, i.prototype.datatype = function () { return this._datatype }, i.prototype.create = function (e, t) { return new i(e, t) }, i.prototype.density = function () { var e = this._size[0], t = this._size[1]; return 0 !== e && 0 !== t ? this._index.length / (e * t) : 0 }, i.prototype.subset = function (e, t, r) { if (!this._values) throw new Error("Cannot invoke subset on a Pattern only matrix"); switch (arguments.length) { case 1: return u(this, e); case 2: case 3: return c(this, e, t, r); default: throw new SyntaxError("Wrong number of arguments") } }, i.prototype.get = function (e) { if (!l(e)) throw new TypeError("Array expected"); if (e.length !== this._size.length) throw new we(e.length, this._size.length); if (!this._values) throw new Error("Cannot invoke get on a Pattern only matrix"); var t = e[0], r = e[1]; Ee(t, this._size[0]), Ee(r, this._size[1]); var n = h(t, this._ptr[r], this._ptr[r + 1], this._index); return n < this._ptr[r + 1] && this._index[n] === t ? this._values[n] : 0 }, i.prototype.set = function (e, n, i) { if (!l(e)) throw new TypeError("Array expected"); if (e.length !== this._size.length) throw new we(e.length, this._size.length); if (!this._values) throw new Error("Cannot invoke set on a Pattern only matrix"); var a = e[0], o = e[1], s = this._size[0], u = this._size[1], c = r, p = 0; f(this._datatype) && (c = t.find(r, [this._datatype, this._datatype]) || r, p = t.convert(0, this._datatype)), (a > s - 1 || o > u - 1) && (y(this, Math.max(a + 1, s), Math.max(o + 1, u), i), s = this._size[0], u = this._size[1]), Ee(a, s), Ee(o, u); var m = h(a, this._ptr[o], this._ptr[o + 1], this._index); return m < this._ptr[o + 1] && this._index[m] === a ? c(n, p) ? function (e, t, r, n, i) { r.splice(e, 1), n.splice(e, 1); for (var a = t + 1; a < i.length; a++)i[a]-- }(m, o, this._values, this._index, this._ptr) : this._values[m] = n : d(m, a, o, n, this._values, this._index, this._ptr), this }, i.prototype.resize = function (e, t, r) { if (!m(e)) throw new TypeError("Array or Matrix expected"); var n = e.valueOf().map((function (e) { return Array.isArray(e) && 1 === e.length ? e[0] : e })); if (2 !== n.length) throw new Error("Only two dimensions matrix are supported"); return n.forEach((function (e) { if (!a(e) || !V(e) || e < 0) throw new TypeError("Invalid size, must contain positive integers (size: " + ge(n) + ")") })), y(r ? this.clone() : this, n[0], n[1], t) }, i.prototype.reshape = function (e, t) { if (!l(e)) throw new TypeError("Array expected"); if (2 !== e.length) throw new Error("Sparse matrices can only be reshaped in two dimensions"); if (e.forEach((function (t) { if (!a(t) || !V(t) || t < 0) throw new TypeError("Invalid size, must contain positive integers (size: " + ge(e) + ")") })), this._size[0] * this._size[1] != e[0] * e[1]) throw new Error("Reshaping sparse matrix will result in the wrong number of elements"); var r = t ? this.clone() : this; if (this._size[0] === e[0] && this._size[1] === e[1]) return r; for (var n = [], i = 0; i < r._ptr.length; i++)for (var o = 0; o < r._ptr[i + 1] - r._ptr[i]; o++)n.push(i); for (var s = r._values.slice(), u = r._index.slice(), c = 0; c < r._index.length; c++) { var f = u[c], p = n[c], m = f * r._size[1] + p; n[c] = m % e[1], u[c] = Math.floor(m / e[1]) } r._values.length = 0, r._index.length = 0, r._ptr.length = e[1] + 1, r._size = e.slice(); for (var y = 0; y < r._ptr.length; y++)r._ptr[y] = 0; for (var g = 0; g < s.length; g++) { var v = u[g], x = n[g], b = s[g]; d(h(v, r._ptr[x], r._ptr[x + 1], r._index), v, x, b, r._values, r._index, r._ptr) } return r }, i.prototype.clone = function () { return new i({ values: this._values ? Fe(this._values) : void 0, index: Fe(this._index), ptr: Fe(this._ptr), size: Fe(this._size), datatype: this._datatype }) }, i.prototype.size = function () { return this._size.slice(0) }, i.prototype.map = function (e, n) { if (!this._values) throw new Error("Cannot invoke map on a Pattern only matrix"); var a = this; return function (e, n, a, o, s, u, c) { var l = [], p = [], m = [], h = r, d = 0; f(e._datatype) && (h = t.find(r, [e._datatype, e._datatype]) || r, d = t.convert(0, e._datatype)); for (var y = function (e, t, r) { e = u(e, t, r), h(e, d) || (l.push(e), p.push(t)) }, g = o; g <= s; g++) { m.push(l.length); var v = e._ptr[g], x = e._ptr[g + 1]; if (c) for (var b = v; b < x; b++) { var w = e._index[b]; w >= n && w <= a && y(e._values[b], w - n, g - o) } else { for (var N = {}, M = v; M < x; M++) { var S = e._index[M]; N[S] = e._values[M] } for (var E = n; E <= a; E++) { var A = E in N ? N[E] : 0; y(A, E - n, g - o) } } } return m.push(l.length), new i({ values: l, index: p, ptr: m, size: [a - n + 1, s - o + 1] }) }(this, 0, this._size[0] - 1, 0, this._size[1] - 1, (function (t, r, n) { return e(t, [r, n], a) }), n) }, i.prototype.forEach = function (e, t) { if (!this._values) throw new Error("Cannot invoke forEach on a Pattern only matrix"); for (var r = this._size[0], n = this._size[1], i = 0; i < n; i++) { var a = this._ptr[i], o = this._ptr[i + 1]; if (t) for (var s = a; s < o; s++) { var u = this._index[s]; e(this._values[s], [u, i], this) } else { for (var c = {}, f = a; f < o; f++) { c[this._index[f]] = this._values[f] } for (var l = 0; l < r; l++) { e(l in c ? c[l] : 0, [l, i], this) } } } }, i.prototype.toArray = function () { return v(this._values, this._index, this._ptr, this._size, !0) }, i.prototype.valueOf = function () { return v(this._values, this._index, this._ptr, this._size, !1) }, i.prototype.format = function (e) { for (var t = this._size[0], r = this._size[1], n = this.density(), i = "Sparse Matrix [" + ge(t, e) + " x " + ge(r, e) + "] density: " + ge(n, e) + "\n", a = 0; a < r; a++)for (var o = this._ptr[a], s = this._ptr[a + 1], u = o; u < s; u++) { i += "\n (" + ge(this._index[u], e) + ", " + ge(a, e) + ") ==> " + (this._values ? ge(this._values[u], e) : "X") } return i }, i.prototype.toString = function () { return ge(this.toArray()) }, i.prototype.toJSON = function () { return { mathjs: "SparseMatrix", values: this._values, index: this._index, ptr: this._ptr, size: this._size, datatype: this._datatype } }, i.prototype.diagonal = function (e) { if (e) { if (o(e) && (e = e.toNumber()), !a(e) || !V(e)) throw new TypeError("The parameter k must be an integer number") } else e = 0; var t = e > 0 ? e : 0, r = e < 0 ? -e : 0, n = this._size[0], s = this._size[1], u = Math.min(n - r, s - t), c = [], f = [], l = []; l[0] = 0; for (var p = t; p < s && c.length < u; p++)for (var m = this._ptr[p], h = this._ptr[p + 1], d = m; d < h; d++) { var y = this._index[d]; if (y === p - t + r) { c.push(this._values[d]), f[c.length - 1] = y - r; break } } return l.push(c.length), new i({ values: c, index: f, ptr: l, size: [u, 1] }) }, i.fromJSON = function (e) { return new i(e) }, i.diagonal = function (e, n, s, u, c) { if (!l(e)) throw new TypeError("Array expected, size parameter"); if (2 !== e.length) throw new Error("Only two dimensions matrix are supported"); if (e = e.map((function (e) { if (o(e) && (e = e.toNumber()), !a(e) || !V(e) || e < 1) throw new Error("Size values must be positive integers"); return e })), s) { if (o(s) && (s = s.toNumber()), !a(s) || !V(s)) throw new TypeError("The parameter k must be an integer number") } else s = 0; var m = r, h = 0; f(c) && (m = t.find(r, [c, c]) || r, h = t.convert(0, c)); var d, y = s > 0 ? s : 0, g = s < 0 ? -s : 0, v = e[0], x = e[1], b = Math.min(v - g, x - y); if (l(n)) { if (n.length !== b) throw new Error("Invalid value array length"); d = function (e) { return n[e] } } else if (p(n)) { var w = n.size(); if (1 !== w.length || w[0] !== b) throw new Error("Invalid matrix length"); d = function (e) { return n.get([e]) } } else d = function () { return n }; for (var N = [], M = [], S = [], E = 0; E < x; E++) { S.push(N.length); var A = E - y; if (A >= 0 && A < b) { var O = d(A); m(O, h) || (M.push(A + g), N.push(O)) } } return S.push(N.length), new i({ values: N, index: M, ptr: S, size: [v, x] }) }, i.prototype.swapRows = function (e, t) { if (!(a(e) && V(e) && a(t) && V(t))) throw new Error("Row index must be positive integers"); if (2 !== this._size.length) throw new Error("Only two dimensional matrix is supported"); return Ee(e, this._size[0]), Ee(t, this._size[0]), i._swapRows(e, t, this._size[1], this._values, this._index, this._ptr), this }, i._forEachRow = function (e, t, r, n, i) { for (var a = n[e], o = n[e + 1], s = a; s < o; s++)i(r[s], t[s]) }, i._swapRows = function (e, t, r, n, i, a) { for (var o = 0; o < r; o++) { var s = a[o], u = a[o + 1], c = h(e, s, u, i), f = h(t, s, u, i); if (c < u && f < u && i[c] === e && i[f] === t) { if (n) { var l = n[c]; n[c] = n[f], n[f] = l } } else if (c < u && i[c] === e && (f >= u || i[f] !== t)) { var p = n ? n[c] : void 0; i.splice(f, 0, t), n && n.splice(f, 0, p), i.splice(f <= c ? c + 1 : c, 1), n && n.splice(f <= c ? c + 1 : c, 1) } else if (f < u && i[f] === t && (c >= u || i[c] !== e)) { var m = n ? n[f] : void 0; i.splice(c, 0, e), n && n.splice(c, 0, m), i.splice(c <= f ? f + 1 : f, 1), n && n.splice(c <= f ? f + 1 : f, 1) } } }, i }), { isClass: !0 })), Pt = Je("number", ["typed"], (function (e) { var t = (0, e.typed)("number", { "": function () { return 0 }, number: function (e) { return e }, string: function (e) { if ("NaN" === e) return NaN; var t = Number(e); if (isNaN(t)) throw new SyntaxError('String "' + e + '" is no valid number'); if (["0b", "0o", "0x"].includes(e.substring(0, 2))) { if (t > Math.pow(2, 32) - 1) throw new SyntaxError('String "'.concat(e, '" is out of range')); 2147483648 & t && (t = -1 * ~(t - 1)) } return t }, BigNumber: function (e) { return e.toNumber() }, Fraction: function (e) { return e.valueOf() }, Unit: function (e) { throw new Error("Second argument with valueless unit expected") }, null: function (e) { return 0 }, "Unit, string | Unit": function (e, t) { return e.toNumber(t) }, "Array | Matrix": function (e) { return bt(e, this) } }); return t.fromJSON = function (e) { return parseFloat(e.value) }, t })), Ut = Je("string", ["typed"], (function (e) { return (0, e.typed)("string", { "": function () { return "" }, number: K, null: function (e) { return "null" }, boolean: function (e) { return e + "" }, string: function (e) { return e }, "Array | Matrix": function (e) { return bt(e, this) }, any: function (e) { return String(e) } }) })), Ft = Je("boolean", ["typed"], (function (e) { return (0, e.typed)("boolean", { "": function () { return !1 }, boolean: function (e) { return e }, number: function (e) { return !!e }, null: function (e) { return !1 }, BigNumber: function (e) { return !e.isZero() }, string: function (e) { var t = e.toLowerCase(); if ("true" === t) return !0; if ("false" === t) return !1; var r = Number(e); if ("" !== e && !isNaN(r)) return !!r; throw new Error('Cannot convert "' + e + '" to a boolean') }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Lt = Je("bignumber", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("bignumber", { "": function () { return new r(0) }, number: function (e) { return new r(e + "") }, string: function (e) { return new r(e) }, BigNumber: function (e) { return e }, Fraction: function (e) { return new r(e.n).div(e.d).times(e.s) }, null: function (e) { return new r(0) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Ht = Je("complex", ["typed", "Complex"], (function (e) { var t = e.typed, r = e.Complex; return t("complex", { "": function () { return r.ZERO }, number: function (e) { return new r(e, 0) }, "number, number": function (e, t) { return new r(e, t) }, "BigNumber, BigNumber": function (e, t) { return new r(e.toNumber(), t.toNumber()) }, Fraction: function (e) { return new r(e.valueOf(), 0) }, Complex: function (e) { return e.clone() }, string: function (e) { return r(e) }, null: function (e) { return r(0) }, Object: function (e) { if ("re" in e && "im" in e) return new r(e.re, e.im); if ("r" in e && "phi" in e || "abs" in e && "arg" in e) return new r(e); throw new Error("Expected object with properties (re and im) or (r and phi) or (abs and arg)") }, "Array | Matrix": function (e) { return bt(e, this) } }) })), $t = Je("fraction", ["typed", "Fraction"], (function (e) { var t = e.typed, r = e.Fraction; return t("fraction", { number: function (e) { if (!isFinite(e) || isNaN(e)) throw new Error(e + " cannot be represented as a fraction"); return new r(e) }, string: function (e) { return new r(e) }, "number, number": function (e, t) { return new r(e, t) }, null: function (e) { return new r(0) }, BigNumber: function (e) { return new r(e.toString()) }, Fraction: function (e) { return e }, Object: function (e) { return new r(e) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Gt = Je("matrix", ["typed", "Matrix", "DenseMatrix", "SparseMatrix"], (function (e) { var t = e.typed, r = (e.Matrix, e.DenseMatrix), n = e.SparseMatrix; return t("matrix", { "": function () { return i([]) }, string: function (e) { return i([], e) }, "string, string": function (e, t) { return i([], e, t) }, Array: function (e) { return i(e) }, Matrix: function (e) { return i(e, e.storage()) }, "Array | Matrix, string": i, "Array | Matrix, string, string": i }); function i(e, t, i) { if ("dense" === t || "default" === t || void 0 === t) return new r(e, i); if ("sparse" === t) return new n(e, i); throw new TypeError("Unknown matrix type " + JSON.stringify(t) + ".") } })), Vt = Je("splitUnit", ["typed"], (function (e) { return (0, e.typed)("splitUnit", { "Unit, Array": function (e, t) { return e.splitUnit(t) } }) })), Zt = "number, number"; function Wt(e) { return Math.abs(e) } function Jt(e, t) { return e + t } function Yt(e, t) { return e * t } function Xt(e) { return -e } function Qt(e) { return e } function Kt(e) { return X(e) } function er(e) { return Math.ceil(e) } function tr(e) { return e * e * e } function rr(e) { return Math.exp(e) } function nr(e) { return Q(e) } function ir(e, t) { if (!V(e) || !V(t)) throw new Error("Parameters in function gcd must be integer numbers"); for (var r; 0 !== t;)r = e % t, e = t, t = r; return e < 0 ? -e : e } function ar(e, t) { if (!V(e) || !V(t)) throw new Error("Parameters in function lcm must be integer numbers"); if (0 === e || 0 === t) return 0; for (var r, n = e * t; 0 !== t;)t = e % (r = t), e = r; return Math.abs(n / e) } function or(e) { return Math.log(e) } function sr(e) { return J(e) } function ur(e) { return W(e) } function cr(e, t) { if (t > 0) return e - t * Math.floor(e / t); if (0 === t) return e; throw new Error("Cannot calculate mod for a negative divisor") } function fr(e, t) { var r = t < 0; if (r && (t = -t), 0 === t) throw new Error("Root must be non-zero"); if (e < 0 && Math.abs(t) % 2 != 1) throw new Error("Root must be odd when a is negative."); if (0 === e) return r ? 1 / 0 : 0; if (!isFinite(e)) return r ? 0 : e; var n = Math.pow(Math.abs(e), 1 / t); return n = e < 0 ? -n : n, r ? 1 / n : n } function lr(e) { return Z(e) } function pr(e) { return e * e } function mr(e, t) { var r, n, i, a = 0, o = 1, s = 1, u = 0; if (!V(e) || !V(t)) throw new Error("Parameters in function xgcd must be integer numbers"); for (; t;)i = e - (n = Math.floor(e / t)) * t, r = a, a = o - n * a, o = r, r = s, s = u - n * s, u = r, e = t, t = i; return e < 0 ? [-e, -o, -u] : [e, e ? o : 0, u] } function hr(e, t) { return e * e < 1 && t === 1 / 0 || e * e > 1 && t === -1 / 0 ? 0 : Math.pow(e, t) } function dr(e) { var t = arguments.length > 1 && void 0 !== arguments[1] ? arguments[1] : 0; return parseFloat(te(e, t)) } Wt.signature = "number", Jt.signature = Zt, Yt.signature = Zt, Xt.signature = "number", Qt.signature = "number", Kt.signature = "number", er.signature = "number", tr.signature = "number", rr.signature = "number", nr.signature = "number", ir.signature = Zt, ar.signature = Zt, or.signature = "number", sr.signature = "number", ur.signature = "number", cr.signature = Zt, fr.signature = Zt, lr.signature = "number", pr.signature = "number", mr.signature = Zt, hr.signature = Zt, dr.signature = Zt; var yr = Je("unaryMinus", ["typed"], (function (e) { return (0, e.typed)("unaryMinus", { number: Xt, Complex: function (e) { return e.neg() }, BigNumber: function (e) { return e.neg() }, Fraction: function (e) { return e.neg() }, Unit: function (e) { var t = e.clone(); return t.value = this(e.value), t }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), gr = Je("unaryPlus", ["typed", "config", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.BigNumber; return t("unaryPlus", { number: Qt, Complex: function (e) { return e }, BigNumber: function (e) { return e }, Fraction: function (e) { return e }, Unit: function (e) { return e.clone() }, "Array | Matrix": function (e) { return bt(e, this, !0) }, "boolean | string": function (e) { return "BigNumber" === r.number ? new n(+e) : +e } }) })), vr = Je("abs", ["typed"], (function (e) { return (0, e.typed)("abs", { number: Wt, Complex: function (e) { return e.abs() }, BigNumber: function (e) { return e.abs() }, Fraction: function (e) { return e.abs() }, "Array | Matrix": function (e) { return bt(e, this, !0) }, Unit: function (e) { return e.abs() } }) })), xr = Je("apply", ["typed", "isInteger"], (function (e) { var t = e.typed, r = e.isInteger; return t("apply", { "Array | Matrix, number | BigNumber, function": function (e, t, n) { if (!r(t)) throw new TypeError("Integer number expected for dimension"); var i = Array.isArray(e) ? Me(e) : e.size(); if (t < 0 || t >= i.length) throw new Ne(t, i.length); return p(e) ? e.create(br(e.valueOf(), t, n)) : br(e, t, n) } }) })); function br(e, t, r) { var n, i, a; if (t <= 0) { if (Array.isArray(e[0])) { for (a = function (e) { var t, r, n = e.length, i = e[0].length, a = []; for (r = 0; r < i; r++) { var o = []; for (t = 0; t < n; t++)o.push(e[t][r]); a.push(o) } return a }(e), i = [], n = 0; n < a.length; n++)i[n] = br(a[n], t - 1, r); return i } return r(e) } for (i = [], n = 0; n < e.length; n++)i[n] = br(e[n], t - 1, r); return i } var wr = Je("addScalar", ["typed"], (function (e) { return (0, e.typed)("addScalar", { "number, number": Jt, "Complex, Complex": function (e, t) { return e.add(t) }, "BigNumber, BigNumber": function (e, t) { return e.plus(t) }, "Fraction, Fraction": function (e, t) { return e.add(t) }, "Unit, Unit": function (e, t) { if (null === e.value || void 0 === e.value) throw new Error("Parameter x contains a unit with undefined value"); if (null === t.value || void 0 === t.value) throw new Error("Parameter y contains a unit with undefined value"); if (!e.equalBase(t)) throw new Error("Units do not match"); var r = e.clone(); return r.value = this(r.value, t.value), r.fixPrefix = !1, r } }) })), Nr = Je("cbrt", ["config", "typed", "isNegative", "unaryMinus", "matrix", "Complex", "BigNumber", "Fraction"], (function (e) { var t = e.config, r = e.typed, n = e.isNegative, i = e.unaryMinus, a = e.matrix, c = e.Complex, f = e.BigNumber, l = e.Fraction; return r("cbrt", { number: Kt, Complex: p, "Complex, boolean": p, BigNumber: function (e) { return e.cbrt() }, Unit: function (e) { if (e.value && s(e.value)) { var t = e.clone(); return t.value = 1, (t = t.pow(1 / 3)).value = p(e.value), t } var r, a = n(e.value); a && (e.value = i(e.value)), r = o(e.value) ? new f(1).div(3) : u(e.value) ? new l(1, 3) : 1 / 3; var c = e.pow(r); return a && (c.value = i(c.value)), c }, "Array | Matrix": function (e) { return bt(e, this, !0) } }); function p(e, r) { var n = e.arg() / 3, i = e.abs(), o = new c(Kt(i), 0).mul(new c(0, n).exp()); if (r) { var s = [o, new c(Kt(i), 0).mul(new c(0, n + 2 * Math.PI / 3).exp()), new c(Kt(i), 0).mul(new c(0, n - 2 * Math.PI / 3).exp())]; return "Array" === t.matrix ? s : a(s) } return o } })), Mr = Je("algorithm11", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i, a) { var o = e._values, s = e._index, u = e._ptr, c = e._size, f = e._datatype; if (!o) throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value"); var l, p = c[0], m = c[1], h = r, d = 0, y = i; "string" == typeof f && (l = f, h = t.find(r, [l, l]), d = t.convert(0, l), n = t.convert(n, l), y = t.find(i, [l, l])); for (var g = [], v = [], x = [], b = 0; b < m; b++) { x[b] = v.length; for (var w = u[b], N = u[b + 1], M = w; M < N; M++) { var S = s[M], E = a ? y(n, o[M]) : y(o[M], n); h(E, d) || (v.push(S), g.push(E)) } } return x[m] = v.length, e.createSparseMatrix({ values: g, index: v, ptr: x, size: [p, m], datatype: l }) } })), Sr = Je("algorithm14", ["typed"], (function (e) { var t = e.typed; return function (e, r, n, i) { var a, o = e._data, s = e._size, u = e._datatype, c = n; "string" == typeof u && (a = u, r = t.convert(r, a), c = t.find(n, [a, a])); var f = s.length > 0 ? function e(t, r, n, i, a, o, s) { var u = []; if (r === n.length - 1) for (var c = 0; c < i; c++)u[c] = s ? t(o, a[c]) : t(a[c], o); else for (var f = 0; f < i; f++)u[f] = e(t, r + 1, n, n[r + 1], a[f], o, s); return u }(c, 0, s, s[0], o, r, i) : []; return e.createDenseMatrix({ data: f, size: Fe(s), datatype: a }) } })); function Er(e, t) { return function (e) { if (Array.isArray(e)) return e }(e) || function (e, t) { if ("undefined" == typeof Symbol || !(Symbol.iterator in Object(e))) return; var r = [], n = !0, i = !1, a = void 0; try { for (var o, s = e[Symbol.iterator](); !(n = (o = s.next()).done) && (r.push(o.value), !t || r.length !== t); n = !0); } catch (e) { i = !0, a = e } finally { try { n || null == s.return || s.return() } finally { if (i) throw a } } return r }(e, t) || function (e, t) { if (!e) return; if ("string" == typeof e) return Ar(e, t); var r = Object.prototype.toString.call(e).slice(8, -1); "Object" === r && e.constructor && (r = e.constructor.name); if ("Map" === r || "Set" === r) return Array.from(e); if ("Arguments" === r || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)) return Ar(e, t) }(e, t) || function () { throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.") }() } function Ar(e, t) { (null == t || t > e.length) && (t = e.length); for (var r = 0, n = new Array(t); r < t; r++)n[r] = e[r]; return n } var Or = Je("ceil", ["typed", "config", "round", "matrix", "equalScalar"], (function (e) { var t = e.typed, r = e.config, n = e.round, i = e.matrix, a = e.equalScalar, o = Mr({ typed: t, equalScalar: a }), s = Sr({ typed: t }); return t("ceil", { number: function (e) { return oe(e, n(e), r.epsilon) ? n(e) : er(e) }, "number, number": function (e, t) { if (oe(e, n(e, t), r.epsilon)) return n(e, t); var i = Er("".concat(e, "e").split("e"), 2), a = i[0], o = i[1], s = Math.ceil(Number("".concat(a, "e").concat(Number(o) + t))), u = Er("".concat(s, "e").split("e"), 2); return a = u[0], o = u[1], Number("".concat(a, "e").concat(Number(o) - t)) }, Complex: function (e) { return e.ceil() }, "Complex, number": function (e, t) { return e.ceil(t) }, BigNumber: function (e) { return Dt(e, n(e), r.epsilon) ? n(e) : e.ceil() }, "BigNumber, BigNumber": function (e, t) { return Dt(e, n(e, t), r.epsilon) ? n(e, t) : e.toDecimalPlaces(t.toNumber(), at.a.ROUND_CEIL) }, Fraction: function (e) { return e.ceil() }, "Fraction, number": function (e, t) { return e.ceil(t) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, "Array | Matrix, number": function (e, t) { var r = this; return bt(e, (function (e) { return r(e, t) }), !0) }, "SparseMatrix, number | BigNumber": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return s(e, t, this, !1) }, "number | Complex | BigNumber, Array": function (e, t) { return s(i(t), e, this, !0).valueOf() } }) })), Cr = Je("cube", ["typed"], (function (e) { return (0, e.typed)("cube", { number: tr, Complex: function (e) { return e.mul(e).mul(e) }, BigNumber: function (e) { return e.times(e).times(e) }, Fraction: function (e) { return e.pow(3) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, Unit: function (e) { return e.pow(3) } }) })), _r = Je("exp", ["typed"], (function (e) { return (0, e.typed)("exp", { number: rr, Complex: function (e) { return e.exp() }, BigNumber: function (e) { return e.exp() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Tr = Je("expm1", ["typed", "Complex"], (function (e) { var t = e.typed, r = e.Complex; return t("expm1", { number: nr, Complex: function (e) { var t = Math.exp(e.re); return new r(t * Math.cos(e.im) - 1, t * Math.sin(e.im)) }, BigNumber: function (e) { return e.exp().minus(1) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), qr = Je("fix", ["typed", "Complex", "matrix", "ceil", "floor"], (function (e) { var t = e.typed, r = e.Complex, n = e.matrix, i = e.ceil, a = e.floor, o = Sr({ typed: t }); return t("fix", { number: function (e) { return e > 0 ? a(e) : i(e) }, "number, number | BigNumber": function (e, t) { return e > 0 ? a(e, t) : i(e, t) }, Complex: function (e) { return new r(e.re > 0 ? Math.floor(e.re) : Math.ceil(e.re), e.im > 0 ? Math.floor(e.im) : Math.ceil(e.im)) }, "Complex, number | BigNumber": function (e, t) { return new r(e.re > 0 ? a(e.re, t) : i(e.re, t), e.im > 0 ? a(e.im, t) : i(e.im, t)) }, BigNumber: function (e) { return e.isNegative() ? i(e) : a(e) }, "BigNumber, number | BigNumber": function (e, t) { return e.isNegative() ? i(e, t) : a(e, t) }, Fraction: function (e) { return e.s < 0 ? e.ceil() : e.floor() }, "Fraction, number | BigNumber": function (e, t) { return e.s < 0 ? e.ceil(t) : e.floor(t) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, "Array | Matrix, number | BigNumber": function (e, t) { var r = this; return bt(e, (function (e) { return r(e, t) }), !0) }, "number | Complex | BigNumber, Array": function (e, t) { return o(n(t), e, this, !0).valueOf() } }) })); function zr(e, t) { return function (e) { if (Array.isArray(e)) return e }(e) || function (e, t) { if ("undefined" == typeof Symbol || !(Symbol.iterator in Object(e))) return; var r = [], n = !0, i = !1, a = void 0; try { for (var o, s = e[Symbol.iterator](); !(n = (o = s.next()).done) && (r.push(o.value), !t || r.length !== t); n = !0); } catch (e) { i = !0, a = e } finally { try { n || null == s.return || s.return() } finally { if (i) throw a } } return r }(e, t) || function (e, t) { if (!e) return; if ("string" == typeof e) return kr(e, t); var r = Object.prototype.toString.call(e).slice(8, -1); "Object" === r && e.constructor && (r = e.constructor.name); if ("Map" === r || "Set" === r) return Array.from(e); if ("Arguments" === r || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)) return kr(e, t) }(e, t) || function () { throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.") }() } function kr(e, t) { (null == t || t > e.length) && (t = e.length); for (var r = 0, n = new Array(t); r < t; r++)n[r] = e[r]; return n } var Ir = Je("floor", ["typed", "config", "round", "matrix", "equalScalar"], (function (e) { var t = e.typed, r = e.config, n = e.round, i = e.matrix, a = e.equalScalar, o = Mr({ typed: t, equalScalar: a }), s = Sr({ typed: t }); return t("floor", { number: function (e) { return oe(e, n(e), r.epsilon) ? n(e) : Math.floor(e) }, "number, number": function (e, t) { if (oe(e, n(e, t), r.epsilon)) return n(e, t); var i = zr("".concat(e, "e").split("e"), 2), a = i[0], o = i[1], s = Math.floor(Number("".concat(a, "e").concat(Number(o) + t))), u = zr("".concat(s, "e").split("e"), 2); return a = u[0], o = u[1], Number("".concat(a, "e").concat(Number(o) - t)) }, Complex: function (e) { return e.floor() }, "Complex, number": function (e, t) { return e.floor(t) }, BigNumber: function (e) { return Dt(e, n(e), r.epsilon) ? n(e) : e.floor() }, "BigNumber, BigNumber": function (e, t) { return Dt(e, n(e, t), r.epsilon) ? n(e, t) : e.toDecimalPlaces(t.toNumber(), at.a.ROUND_FLOOR) }, Fraction: function (e) { return e.floor() }, "Fraction, number": function (e, t) { return e.floor(t) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, "Array | Matrix, number": function (e, t) { var r = this; return bt(e, (function (e) { return r(e, t) }), !0) }, "SparseMatrix, number | BigNumber": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return s(e, t, this, !1) }, "number | Complex | BigNumber, Array": function (e, t) { return s(i(t), e, this, !0).valueOf() } }) })), Br = Je("algorithm01", ["typed"], (function (e) { var t = e.typed; return function (e, r, n, i) { var a = e._data, o = e._size, s = e._datatype, u = r._values, c = r._index, f = r._ptr, l = r._size, p = r._datatype; if (o.length !== l.length) throw new we(o.length, l.length); if (o[0] !== l[0] || o[1] !== l[1]) throw new RangeError("Dimension mismatch. Matrix A (" + o + ") must match Matrix B (" + l + ")"); if (!u) throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix"); var m, h, d = o[0], y = o[1], g = "string" == typeof s && s === p ? s : void 0, v = g ? t.find(n, [g, g]) : n, x = []; for (m = 0; m < d; m++)x[m] = []; var b = [], w = []; for (h = 0; h < y; h++) { for (var N = h + 1, M = f[h], S = f[h + 1], E = M; E < S; E++)b[m = c[E]] = i ? v(u[E], a[m][h]) : v(a[m][h], u[E]), w[m] = N; for (m = 0; m < d; m++)w[m] === N ? x[m][h] = b[m] : x[m][h] = a[m][h] } return e.createDenseMatrix({ data: x, size: [d, y], datatype: g }) } })), Dr = Je("algorithm04", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i) { var a = e._values, o = e._index, s = e._ptr, u = e._size, c = e._datatype, f = n._values, l = n._index, p = n._ptr, m = n._size, h = n._datatype; if (u.length !== m.length) throw new we(u.length, m.length); if (u[0] !== m[0] || u[1] !== m[1]) throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + m + ")"); var d, y = u[0], g = u[1], v = r, x = 0, b = i; "string" == typeof c && c === h && (d = c, v = t.find(r, [d, d]), x = t.convert(0, d), b = t.find(i, [d, d])); var w, N, M, S, E, A = a && f ? [] : void 0, O = [], C = [], _ = a && f ? [] : void 0, T = a && f ? [] : void 0, q = [], z = []; for (N = 0; N < g; N++) { C[N] = O.length; var k = N + 1; for (S = s[N], E = s[N + 1], M = S; M < E; M++)w = o[M], O.push(w), q[w] = k, _ && (_[w] = a[M]); for (S = p[N], E = p[N + 1], M = S; M < E; M++)if (q[w = l[M]] === k) { if (_) { var I = b(_[w], f[M]); v(I, x) ? q[w] = null : _[w] = I } } else O.push(w), z[w] = k, T && (T[w] = f[M]); if (_ && T) for (M = C[N]; M < O.length;)q[w = O[M]] === k ? (A[M] = _[w], M++) : z[w] === k ? (A[M] = T[w], M++) : O.splice(M, 1) } return C[g] = O.length, e.createSparseMatrix({ values: A, index: O, ptr: C, size: [y, g], datatype: d }) } })), Rr = Je("algorithm10", ["typed", "DenseMatrix"], (function (e) { var t = e.typed, r = e.DenseMatrix; return function (e, n, i, a) { var o = e._values, s = e._index, u = e._ptr, c = e._size, f = e._datatype; if (!o) throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value"); var l, p = c[0], m = c[1], h = i; "string" == typeof f && (l = f, n = t.convert(n, l), h = t.find(i, [l, l])); for (var d = [], y = [], g = [], v = 0; v < m; v++) { for (var x = v + 1, b = u[v], w = u[v + 1], N = b; N < w; N++) { var M = s[N]; y[M] = o[N], g[M] = x } for (var S = 0; S < p; S++)0 === v && (d[S] = []), g[S] === x ? d[S][v] = a ? h(n, y[S]) : h(y[S], n) : d[S][v] = n } return new r({ data: d, size: [p, m], datatype: l }) } })), jr = Je("algorithm13", ["typed"], (function (e) { var t = e.typed; return function (e, r, n) { var i, a = e._data, o = e._size, s = e._datatype, u = r._data, c = r._size, f = r._datatype, l = []; if (o.length !== c.length) throw new we(o.length, c.length); for (var p = 0; p < o.length; p++) { if (o[p] !== c[p]) throw new RangeError("Dimension mismatch. Matrix A (" + o + ") must match Matrix B (" + c + ")"); l[p] = o[p] } var m = n; "string" == typeof s && s === f && (i = s, m = t.find(n, [i, i])); var h = l.length > 0 ? function e(t, r, n, i, a, o) { var s = []; if (r === n.length - 1) for (var u = 0; u < i; u++)s[u] = t(a[u], o[u]); else for (var c = 0; c < i; c++)s[c] = e(t, r + 1, n, n[r + 1], a[c], o[c]); return s }(m, 0, l, l[0], a, u) : []; return e.createDenseMatrix({ data: h, size: l, datatype: i }) } })), Pr = Je("gcd", ["typed", "matrix", "equalScalar", "BigNumber", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.BigNumber, a = e.DenseMatrix, o = Br({ typed: t }), s = Dr({ typed: t, equalScalar: n }), u = Rr({ typed: t, DenseMatrix: a }), c = jr({ typed: t }), f = Sr({ typed: t }); return t("gcd", { "number, number": ir, "BigNumber, BigNumber": function (e, t) { if (!e.isInt() || !t.isInt()) throw new Error("Parameters in function gcd must be integer numbers"); var r = new i(0); for (; !t.isZero();) { var n = e.mod(t); e = t, t = n } return e.lt(r) ? e.neg() : e }, "Fraction, Fraction": function (e, t) { return e.gcd(t) }, "SparseMatrix, SparseMatrix": function (e, t) { return s(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return c(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return u(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return f(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return u(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return f(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return f(r(e), t, this, !1).valueOf() }, "number | BigNumber, Array": function (e, t) { return f(r(t), e, this, !0).valueOf() }, "Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber": function (e, t, r) { for (var n = this(e, t), i = 0; i < r.length; i++)n = this(n, r[i]); return n } }) })), Ur = Je("algorithm02", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i, a) { var o = e._data, s = e._size, u = e._datatype, c = n._values, f = n._index, l = n._ptr, p = n._size, m = n._datatype; if (s.length !== p.length) throw new we(s.length, p.length); if (s[0] !== p[0] || s[1] !== p[1]) throw new RangeError("Dimension mismatch. Matrix A (" + s + ") must match Matrix B (" + p + ")"); if (!c) throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix"); var h, d = s[0], y = s[1], g = r, v = 0, x = i; "string" == typeof u && u === m && (h = u, g = t.find(r, [h, h]), v = t.convert(0, h), x = t.find(i, [h, h])); for (var b = [], w = [], N = [], M = 0; M < y; M++) { N[M] = w.length; for (var S = l[M], E = l[M + 1], A = S; A < E; A++) { var O = f[A], C = a ? x(c[A], o[O][M]) : x(o[O][M], c[A]); g(C, v) || (w.push(O), b.push(C)) } } return N[y] = w.length, n.createSparseMatrix({ values: b, index: w, ptr: N, size: [d, y], datatype: h }) } })), Fr = Je("algorithm06", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i) { var a = e._values, o = e._size, s = e._datatype, u = n._values, c = n._size, f = n._datatype; if (o.length !== c.length) throw new we(o.length, c.length); if (o[0] !== c[0] || o[1] !== c[1]) throw new RangeError("Dimension mismatch. Matrix A (" + o + ") must match Matrix B (" + c + ")"); var l, p = o[0], m = o[1], h = r, d = 0, y = i; "string" == typeof s && s === f && (l = s, h = t.find(r, [l, l]), d = t.convert(0, l), y = t.find(i, [l, l])); for (var g = a && u ? [] : void 0, v = [], x = [], b = g ? [] : void 0, w = [], N = [], M = 0; M < m; M++) { x[M] = v.length; var S = M + 1; if (Mt(e, M, w, b, N, S, v, y), Mt(n, M, w, b, N, S, v, y), b) for (var E = x[M]; E < v.length;) { var A = v[E]; if (N[A] === S) { var O = b[A]; h(O, d) ? v.splice(E, 1) : (g.push(O), E++) } else v.splice(E, 1) } else for (var C = x[M]; C < v.length;) { N[v[C]] !== S ? v.splice(C, 1) : C++ } } return x[m] = v.length, e.createSparseMatrix({ values: g, index: v, ptr: x, size: [p, m], datatype: l }) } })), Lr = Je("lcm", ["typed", "matrix", "equalScalar"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = Ur({ typed: t, equalScalar: n }), a = Fr({ typed: t, equalScalar: n }), o = Mr({ typed: t, equalScalar: n }), s = jr({ typed: t }), u = Sr({ typed: t }); return t("lcm", { "number, number": ar, "BigNumber, BigNumber": function (e, t) { if (!e.isInt() || !t.isInt()) throw new Error("Parameters in function lcm must be integer numbers"); if (e.isZero()) return e; if (t.isZero()) return t; var r = e.times(t); for (; !t.isZero();) { var n = t; t = e.mod(n), e = n } return r.div(e).abs() }, "Fraction, Fraction": function (e, t) { return e.lcm(t) }, "SparseMatrix, SparseMatrix": function (e, t) { return a(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return i(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return i(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return s(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return u(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return o(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return u(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return u(r(e), t, this, !1).valueOf() }, "number | BigNumber, Array": function (e, t) { return u(r(t), e, this, !0).valueOf() }, "Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber": function (e, t, r) { for (var n = this(e, t), i = 0; i < r.length; i++)n = this(n, r[i]); return n } }) })), Hr = Je("log10", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("log10", { number: function (e) { return e >= 0 || r.predictable ? sr(e) : new n(e, 0).log().div(Math.LN10) }, Complex: function (e) { return new n(e).log().div(Math.LN10) }, BigNumber: function (e) { return !e.isNegative() || r.predictable ? e.log() : new n(e.toNumber(), 0).log().div(Math.LN10) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), $r = Je("log2", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("log2", { number: function (e) { return e >= 0 || r.predictable ? ur(e) : i(new n(e, 0)) }, Complex: i, BigNumber: function (e) { return !e.isNegative() || r.predictable ? e.log(2) : i(new n(e.toNumber(), 0)) }, "Array | Matrix": function (e) { return bt(e, this) } }); function i(e) { var t = Math.sqrt(e.re * e.re + e.im * e.im); return new n(Math.log2 ? Math.log2(t) : Math.log(t) / Math.LN2, Math.atan2(e.im, e.re) / Math.LN2) } })), Gr = Je("algorithm03", ["typed"], (function (e) { var t = e.typed; return function (e, r, n, i) { var a = e._data, o = e._size, s = e._datatype, u = r._values, c = r._index, f = r._ptr, l = r._size, p = r._datatype; if (o.length !== l.length) throw new we(o.length, l.length); if (o[0] !== l[0] || o[1] !== l[1]) throw new RangeError("Dimension mismatch. Matrix A (" + o + ") must match Matrix B (" + l + ")"); if (!u) throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix"); var m, h = o[0], d = o[1], y = 0, g = n; "string" == typeof s && s === p && (m = s, y = t.convert(0, m), g = t.find(n, [m, m])); for (var v = [], x = 0; x < h; x++)v[x] = []; for (var b = [], w = [], N = 0; N < d; N++) { for (var M = N + 1, S = f[N], E = f[N + 1], A = S; A < E; A++) { var O = c[A]; b[O] = i ? g(u[A], a[O][N]) : g(a[O][N], u[A]), w[O] = M } for (var C = 0; C < h; C++)w[C] === M ? v[C][N] = b[C] : v[C][N] = i ? g(y, a[C][N]) : g(a[C][N], y) } return e.createDenseMatrix({ data: v, size: [h, d], datatype: m }) } })), Vr = Je("algorithm05", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i) { var a = e._values, o = e._index, s = e._ptr, u = e._size, c = e._datatype, f = n._values, l = n._index, p = n._ptr, m = n._size, h = n._datatype; if (u.length !== m.length) throw new we(u.length, m.length); if (u[0] !== m[0] || u[1] !== m[1]) throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + m + ")"); var d, y = u[0], g = u[1], v = r, x = 0, b = i; "string" == typeof c && c === h && (d = c, v = t.find(r, [d, d]), x = t.convert(0, d), b = t.find(i, [d, d])); var w, N, M, S, E = a && f ? [] : void 0, A = [], O = [], C = E ? [] : void 0, _ = E ? [] : void 0, T = [], q = []; for (N = 0; N < g; N++) { O[N] = A.length; var z = N + 1; for (M = s[N], S = s[N + 1]; M < S; M++)w = o[M], A.push(w), T[w] = z, C && (C[w] = a[M]); for (M = p[N], S = p[N + 1]; M < S; M++)T[w = l[M]] !== z && A.push(w), q[w] = z, _ && (_[w] = f[M]); if (E) for (M = O[N]; M < A.length;) { var k = T[w = A[M]], I = q[w]; if (k === z || I === z) { var B = b(k === z ? C[w] : x, I === z ? _[w] : x); v(B, x) ? A.splice(M, 1) : (E.push(B), M++) } } } return O[g] = A.length, e.createSparseMatrix({ values: E, index: A, ptr: O, size: [y, g], datatype: d }) } })), Zr = Je("algorithm12", ["typed", "DenseMatrix"], (function (e) { var t = e.typed, r = e.DenseMatrix; return function (e, n, i, a) { var o = e._values, s = e._index, u = e._ptr, c = e._size, f = e._datatype; if (!o) throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value"); var l, p = c[0], m = c[1], h = i; "string" == typeof f && (l = f, n = t.convert(n, l), h = t.find(i, [l, l])); for (var d = [], y = [], g = [], v = 0; v < m; v++) { for (var x = v + 1, b = u[v], w = u[v + 1], N = b; N < w; N++) { var M = s[N]; y[M] = o[N], g[M] = x } for (var S = 0; S < p; S++)0 === v && (d[S] = []), g[S] === x ? d[S][v] = a ? h(n, y[S]) : h(y[S], n) : d[S][v] = a ? h(n, 0) : h(0, n) } return new r({ data: d, size: [p, m], datatype: l }) } })), Wr = Je("mod", ["typed", "matrix", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.DenseMatrix, a = Ur({ typed: t, equalScalar: n }), o = Gr({ typed: t }), s = Vr({ typed: t, equalScalar: n }), u = Mr({ typed: t, equalScalar: n }), c = Zr({ typed: t, DenseMatrix: i }), f = jr({ typed: t }), l = Sr({ typed: t }); return t("mod", { "number, number": cr, "BigNumber, BigNumber": function (e, t) { if (t.isNeg()) throw new Error("Cannot calculate mod for a negative divisor"); return t.isZero() ? e : e.mod(t) }, "Fraction, Fraction": function (e, t) { if (t.compare(0) < 0) throw new Error("Cannot calculate mod for a negative divisor"); return e.compare(0) >= 0 ? e.mod(t) : e.mod(t).add(t).mod(t) }, "SparseMatrix, SparseMatrix": function (e, t) { return s(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return f(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return u(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return l(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return c(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return l(t, e, this, !0) }, "Array, any": function (e, t) { return l(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return l(r(t), e, this, !0).valueOf() } }) })), Jr = Je("multiplyScalar", ["typed"], (function (e) { return (0, e.typed)("multiplyScalar", { "number, number": Yt, "Complex, Complex": function (e, t) { return e.mul(t) }, "BigNumber, BigNumber": function (e, t) { return e.times(t) }, "Fraction, Fraction": function (e, t) { return e.mul(t) }, "number | Fraction | BigNumber | Complex, Unit": function (e, t) { var r = t.clone(); return r.value = null === r.value ? r._normalize(e) : this(r.value, e), r }, "Unit, number | Fraction | BigNumber | Complex": function (e, t) { var r = e.clone(); return r.value = null === r.value ? r._normalize(t) : this(r.value, t), r }, "Unit, Unit": function (e, t) { return e.multiply(t) } }) })), Yr = Je("multiply", ["typed", "matrix", "addScalar", "multiplyScalar", "equalScalar", "dot"], (function (e) { var t = e.typed, r = e.matrix, n = e.addScalar, i = e.multiplyScalar, a = e.equalScalar, o = e.dot, s = Mr({ typed: t, equalScalar: a }), u = Sr({ typed: t }); function c(e, t) { switch (e.length) { case 1: switch (t.length) { case 1: if (e[0] !== t[0]) throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length"); break; case 2: if (e[0] !== t[0]) throw new RangeError("Dimension mismatch in multiplication. Vector length (" + e[0] + ") must match Matrix rows (" + t[0] + ")"); break; default: throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has " + t.length + " dimensions)") }break; case 2: switch (t.length) { case 1: if (e[1] !== t[0]) throw new RangeError("Dimension mismatch in multiplication. Matrix columns (" + e[1] + ") must match Vector length (" + t[0] + ")"); break; case 2: if (e[1] !== t[0]) throw new RangeError("Dimension mismatch in multiplication. Matrix A columns (" + e[1] + ") must match Matrix B rows (" + t[0] + ")"); break; default: throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has " + t.length + " dimensions)") }break; default: throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has " + e.length + " dimensions)") } } function f(e, r) { if ("dense" !== r.storage()) throw new Error("Support for SparseMatrix not implemented"); return function (e, r) { var a, o = e._data, s = e._size, u = e._datatype, c = r._data, f = r._size, l = r._datatype, p = s[0], m = f[1], h = n, d = i; u && l && u === l && "string" == typeof u && (a = u, h = t.find(n, [a, a]), d = t.find(i, [a, a])); for (var y = [], g = 0; g < m; g++) { for (var v = d(o[0], c[0][g]), x = 1; x < p; x++)v = h(v, d(o[x], c[x][g])); y[g] = v } return e.createDenseMatrix({ data: y, size: [m], datatype: a }) }(e, r) } var l = t("_multiplyMatrixVector", { "DenseMatrix, any": function (e, r) { var a, o = e._data, s = e._size, u = e._datatype, c = r._data, f = r._datatype, l = s[0], p = s[1], m = n, h = i; u && f && u === f && "string" == typeof u && (a = u, m = t.find(n, [a, a]), h = t.find(i, [a, a])); for (var d = [], y = 0; y < l; y++) { for (var g = o[y], v = h(g[0], c[0]), x = 1; x < p; x++)v = m(v, h(g[x], c[x])); d[y] = v } return e.createDenseMatrix({ data: d, size: [l], datatype: a }) }, "SparseMatrix, any": function (e, r) { var o = e._values, s = e._index, u = e._ptr, c = e._datatype; if (!o) throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix"); var f, l = r._data, p = r._datatype, m = e._size[0], h = r._size[0], d = [], y = [], g = [], v = n, x = i, b = a, w = 0; c && p && c === p && "string" == typeof c && (f = c, v = t.find(n, [f, f]), x = t.find(i, [f, f]), b = t.find(a, [f, f]), w = t.convert(0, f)); var N = [], M = []; g[0] = 0; for (var S = 0; S < h; S++) { var E = l[S]; if (!b(E, w)) for (var A = u[S], O = u[S + 1], C = A; C < O; C++) { var _ = s[C]; M[_] ? N[_] = v(N[_], x(E, o[C])) : (M[_] = !0, y.push(_), N[_] = x(E, o[C])) } } for (var T = y.length, q = 0; q < T; q++) { var z = y[q]; d[q] = N[z] } return g[1] = y.length, e.createSparseMatrix({ values: d, index: y, ptr: g, size: [m, 1], datatype: f }) } }), m = t("_multiplyMatrixMatrix", { "DenseMatrix, DenseMatrix": function (e, r) { var a, o = e._data, s = e._size, u = e._datatype, c = r._data, f = r._size, l = r._datatype, p = s[0], m = s[1], h = f[1], d = n, y = i; u && l && u === l && "string" == typeof u && (a = u, d = t.find(n, [a, a]), y = t.find(i, [a, a])); for (var g = [], v = 0; v < p; v++) { var x = o[v]; g[v] = []; for (var b = 0; b < h; b++) { for (var w = y(x[0], c[0][b]), N = 1; N < m; N++)w = d(w, y(x[N], c[N][b])); g[v][b] = w } } return e.createDenseMatrix({ data: g, size: [p, h], datatype: a }) }, "DenseMatrix, SparseMatrix": function (e, r) { var o = e._data, s = e._size, u = e._datatype, c = r._values, f = r._index, l = r._ptr, p = r._size, m = r._datatype; if (!c) throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix"); var h, d = s[0], y = p[1], g = n, v = i, x = a, b = 0; u && m && u === m && "string" == typeof u && (h = u, g = t.find(n, [h, h]), v = t.find(i, [h, h]), x = t.find(a, [h, h]), b = t.convert(0, h)); for (var w = [], N = [], M = [], S = r.createSparseMatrix({ values: w, index: N, ptr: M, size: [d, y], datatype: h }), E = 0; E < y; E++) { M[E] = N.length; var A = l[E], O = l[E + 1]; if (O > A) for (var C = 0, _ = 0; _ < d; _++) { for (var T = _ + 1, q = void 0, z = A; z < O; z++) { var k = f[z]; C !== T ? (q = v(o[_][k], c[z]), C = T) : q = g(q, v(o[_][k], c[z])) } C !== T || x(q, b) || (N.push(_), w.push(q)) } } return M[y] = N.length, S }, "SparseMatrix, DenseMatrix": function (e, r) { var o = e._values, s = e._index, u = e._ptr, c = e._datatype; if (!o) throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix"); var f, l = r._data, p = r._datatype, m = e._size[0], h = r._size[0], d = r._size[1], y = n, g = i, v = a, x = 0; c && p && c === p && "string" == typeof c && (f = c, y = t.find(n, [f, f]), g = t.find(i, [f, f]), v = t.find(a, [f, f]), x = t.convert(0, f)); for (var b = [], w = [], N = [], M = e.createSparseMatrix({ values: b, index: w, ptr: N, size: [m, d], datatype: f }), S = [], E = [], A = 0; A < d; A++) { N[A] = w.length; for (var O = A + 1, C = 0; C < h; C++) { var _ = l[C][A]; if (!v(_, x)) for (var T = u[C], q = u[C + 1], z = T; z < q; z++) { var k = s[z]; E[k] !== O ? (E[k] = O, w.push(k), S[k] = g(_, o[z])) : S[k] = y(S[k], g(_, o[z])) } } for (var I = N[A], B = w.length, D = I; D < B; D++) { var R = w[D]; b[D] = S[R] } } return N[d] = w.length, M }, "SparseMatrix, SparseMatrix": function (e, r) { var a, o = e._values, s = e._index, u = e._ptr, c = e._datatype, f = r._values, l = r._index, p = r._ptr, m = r._datatype, h = e._size[0], d = r._size[1], y = o && f, g = n, v = i; c && m && c === m && "string" == typeof c && (a = c, g = t.find(n, [a, a]), v = t.find(i, [a, a])); for (var x, b, w, N, M, S, E, A, O = y ? [] : void 0, C = [], _ = [], T = e.createSparseMatrix({ values: O, index: C, ptr: _, size: [h, d], datatype: a }), q = y ? [] : void 0, z = [], k = 0; k < d; k++) { _[k] = C.length; var I = k + 1; for (M = p[k], S = p[k + 1], N = M; N < S; N++)if (A = l[N], y) for (b = u[A], w = u[A + 1], x = b; x < w; x++)E = s[x], z[E] !== I ? (z[E] = I, C.push(E), q[E] = v(f[N], o[x])) : q[E] = g(q[E], v(f[N], o[x])); else for (b = u[A], w = u[A + 1], x = b; x < w; x++)E = s[x], z[E] !== I && (z[E] = I, C.push(E)); if (y) for (var B = _[k], D = C.length, R = B; R < D; R++) { var j = C[R]; O[R] = q[j] } } return _[d] = C.length, T } }); return t("multiply", He({ "Array, Array": function (e, t) { c(Me(e), Me(t)); var n = this(r(e), r(t)); return p(n) ? n.valueOf() : n }, "Matrix, Matrix": function (e, t) { var r = e.size(), n = t.size(); return c(r, n), 1 === r.length ? 1 === n.length ? function (e, t, r) { if (0 === r) throw new Error("Cannot multiply two empty vectors"); return o(e, t) }(e, t, r[0]) : f(e, t) : 1 === n.length ? l(e, t) : m(e, t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "Array, Matrix": function (e, t) { return this(r(e, t.storage()), t) }, "SparseMatrix, any": function (e, t) { return s(e, t, i, !1) }, "DenseMatrix, any": function (e, t) { return u(e, t, i, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, i, !0) }, "any, DenseMatrix": function (e, t) { return u(t, e, i, !0) }, "Array, any": function (e, t) { return u(r(e), t, i, !1).valueOf() }, "any, Array": function (e, t) { return u(r(t), e, i, !0).valueOf() }, "any, any": i, "any, any, ...any": function (e, t, r) { for (var n = this(e, t), i = 0; i < r.length; i++)n = this(n, r[i]); return n } }, i.signatures)) })), Xr = Je("nthRoot", ["typed", "matrix", "equalScalar", "BigNumber"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.BigNumber, a = Br({ typed: t }), o = Ur({ typed: t, equalScalar: n }), s = Fr({ typed: t, equalScalar: n }), u = Mr({ typed: t, equalScalar: n }), c = jr({ typed: t }), f = Sr({ typed: t }), l = "Complex number not supported in function nthRoot. Use nthRoots instead."; return t("nthRoot", { number: function (e) { return fr(e, 2) }, "number, number": fr, BigNumber: function (e) { return p(e, new i(2)) }, Complex: function (e) { throw new Error(l) }, "Complex, number": function (e, t) { throw new Error(l) }, "BigNumber, BigNumber": p, "Array | Matrix": function (e) { return this(e, 2) }, "SparseMatrix, SparseMatrix": function (e, t) { if (1 === t.density()) return s(e, t, this); throw new Error("Root must be non-zero") }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { if (1 === t.density()) return a(e, t, this, !1); throw new Error("Root must be non-zero") }, "DenseMatrix, DenseMatrix": function (e, t) { return c(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return u(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return f(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { if (1 === t.density()) return u(t, e, this, !0); throw new Error("Root must be non-zero") }, "number | BigNumber, DenseMatrix": function (e, t) { return f(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return this(r(e), t).valueOf() }, "number | BigNumber, Array": function (e, t) { return this(e, r(t)).valueOf() } }); function p(e, t) { var r = i.precision, n = i.clone({ precision: r + 2 }), a = new i(0), o = new n(1), s = t.isNegative(); if (s && (t = t.neg()), t.isZero()) throw new Error("Root must be non-zero"); if (e.isNegative() && !t.abs().mod(2).equals(1)) throw new Error("Root must be odd when a is negative."); if (e.isZero()) return s ? new n(1 / 0) : 0; if (!e.isFinite()) return s ? a : e; var u = e.abs().pow(o.div(t)); return u = e.isNeg() ? u.neg() : u, new i((s ? o.div(u) : u).toPrecision(r)) } })), Qr = Je("sign", ["typed", "BigNumber", "Fraction", "complex"], (function (e) { var t = e.typed, r = e.BigNumber, n = e.complex, i = e.Fraction; return t("sign", { number: lr, Complex: function (e) { return 0 === e.im ? n(lr(e.re)) : e.sign() }, BigNumber: function (e) { return new r(e.cmp(0)) }, Fraction: function (e) { return new i(e.s, 1) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, Unit: function (e) { return this(e.value) } }) })), Kr = Je("sqrt", ["config", "typed", "Complex"], (function (e) { var t = e.config, r = e.typed, n = e.Complex; return r("sqrt", { number: i, Complex: function (e) { return e.sqrt() }, BigNumber: function (e) { return !e.isNegative() || t.predictable ? e.sqrt() : i(e.toNumber()) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, Unit: function (e) { return e.pow(.5) } }); function i(e) { return isNaN(e) ? NaN : e >= 0 || t.predictable ? Math.sqrt(e) : new n(e, 0).sqrt() } })), en = Je("square", ["typed"], (function (e) { return (0, e.typed)("square", { number: pr, Complex: function (e) { return e.mul(e) }, BigNumber: function (e) { return e.times(e) }, Fraction: function (e) { return e.mul(e) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, Unit: function (e) { return e.pow(2) } }) })), tn = Je("subtract", ["typed", "matrix", "equalScalar", "addScalar", "unaryMinus", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.addScalar, a = e.unaryMinus, o = e.DenseMatrix, s = Br({ typed: t }), u = Gr({ typed: t }), c = Vr({ typed: t, equalScalar: n }), f = Rr({ typed: t, DenseMatrix: o }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("subtract", { "number, number": function (e, t) { return e - t }, "Complex, Complex": function (e, t) { return e.sub(t) }, "BigNumber, BigNumber": function (e, t) { return e.minus(t) }, "Fraction, Fraction": function (e, t) { return e.sub(t) }, "Unit, Unit": function (e, t) { if (null === e.value) throw new Error("Parameter x contains a unit with undefined value"); if (null === t.value) throw new Error("Parameter y contains a unit with undefined value"); if (!e.equalBase(t)) throw new Error("Units do not match"); var r = e.clone(); return r.value = this(r.value, t.value), r.fixPrefix = !1, r }, "SparseMatrix, SparseMatrix": function (e, t) { return rn(e, t), c(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return rn(e, t), u(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return rn(e, t), s(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return rn(e, t), l(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return f(e, a(t), i) }, "DenseMatrix, any": function (e, t) { return p(e, t, this) }, "any, SparseMatrix": function (e, t) { return f(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return p(t, e, this, !0) }, "Array, any": function (e, t) { return p(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return p(r(t), e, this, !0).valueOf() } }) })); function rn(e, t) { var r = e.size(), n = t.size(); if (r.length !== n.length) throw new we(r.length, n.length) } var nn = Je("xgcd", ["typed", "config", "matrix", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.BigNumber; return t("xgcd", { "number, number": function (e, t) { var i = mr(e, t); return "Array" === r.matrix ? i : n(i) }, "BigNumber, BigNumber": function (e, t) { var a, o, s, u, c = new i(0), f = new i(1), l = c, p = f, m = f, h = c; if (!e.isInt() || !t.isInt()) throw new Error("Parameters in function xgcd must be integer numbers"); for (; !t.isZero();)o = e.div(t).floor(), s = e.mod(t), a = l, l = p.minus(o.times(l)), p = a, a = m, m = h.minus(o.times(m)), h = a, e = t, t = s; u = e.lt(c) ? [e.neg(), p.neg(), h.neg()] : [e, e.isZero() ? 0 : p, h]; return "Array" === r.matrix ? u : n(u) } }) })), an = Je("algorithm09", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i) { var a = e._values, o = e._index, s = e._ptr, u = e._size, c = e._datatype, f = n._values, l = n._index, p = n._ptr, m = n._size, h = n._datatype; if (u.length !== m.length) throw new we(u.length, m.length); if (u[0] !== m[0] || u[1] !== m[1]) throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + m + ")"); var d, y = u[0], g = u[1], v = r, x = 0, b = i; "string" == typeof c && c === h && (d = c, v = t.find(r, [d, d]), x = t.convert(0, d), b = t.find(i, [d, d])); var w, N, M, S, E, A = a && f ? [] : void 0, O = [], C = [], _ = A ? [] : void 0, T = []; for (N = 0; N < g; N++) { C[N] = O.length; var q = N + 1; if (_) for (S = p[N], E = p[N + 1], M = S; M < E; M++)T[w = l[M]] = q, _[w] = f[M]; for (S = s[N], E = s[N + 1], M = S; M < E; M++)if (w = o[M], _) { var z = T[w] === q ? _[w] : x, k = b(a[M], z); v(k, x) || (O.push(w), A.push(k)) } else O.push(w) } return C[g] = O.length, e.createSparseMatrix({ values: A, index: O, ptr: C, size: [y, g], datatype: d }) } })), on = Je("dotMultiply", ["typed", "matrix", "equalScalar", "multiplyScalar"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.multiplyScalar, a = Ur({ typed: t, equalScalar: n }), o = an({ typed: t, equalScalar: n }), s = Mr({ typed: t, equalScalar: n }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("dotMultiply", { "any, any": i, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, i, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, i, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, i, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, i) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, i, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, i, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, i, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, i, !0) }, "Array, any": function (e, t) { return c(r(e), t, i, !1).valueOf() }, "any, Array": function (e, t) { return c(r(t), e, i, !0).valueOf() } }) })); function sn(e, t) { if (e.isFinite() && !e.isInteger() || t.isFinite() && !t.isInteger()) throw new Error("Integers expected in function bitAnd"); var r = e.constructor; if (e.isNaN() || t.isNaN()) return new r(NaN); if (e.isZero() || t.eq(-1) || e.eq(t)) return e; if (t.isZero() || e.eq(-1)) return t; if (!e.isFinite() || !t.isFinite()) { if (!e.isFinite() && !t.isFinite()) return e.isNegative() === t.isNegative() ? e : new r(0); if (!e.isFinite()) return t.isNegative() ? e : e.isNegative() ? new r(0) : t; if (!t.isFinite()) return e.isNegative() ? t : t.isNegative() ? new r(0) : e } return fn(e, t, (function (e, t) { return e & t })) } function un(e) { if (e.isFinite() && !e.isInteger()) throw new Error("Integer expected in function bitNot"); var t = e.constructor, r = t.precision; t.config({ precision: 1e9 }); var n = e.plus(new t(1)); return n.s = -n.s || null, t.config({ precision: r }), n } function cn(e, t) { if (e.isFinite() && !e.isInteger() || t.isFinite() && !t.isInteger()) throw new Error("Integers expected in function bitOr"); var r = e.constructor; if (e.isNaN() || t.isNaN()) return new r(NaN); var n = new r(-1); return e.isZero() || t.eq(n) || e.eq(t) ? t : t.isZero() || e.eq(n) ? e : e.isFinite() && t.isFinite() ? fn(e, t, (function (e, t) { return e | t })) : !e.isFinite() && !e.isNegative() && t.isNegative() || e.isNegative() && !t.isNegative() && !t.isFinite() ? n : e.isNegative() && t.isNegative() ? e.isFinite() ? e : t : e.isFinite() ? t : e } function fn(e, t, r) { var n, i, a, o, s, u = e.constructor, c = +(e.s < 0), f = +(t.s < 0); if (c) { n = ln(un(e)); for (var l = 0; l < n.length; ++l)n[l] ^= 1 } else n = ln(e); if (f) { i = ln(un(t)); for (var p = 0; p < i.length; ++p)i[p] ^= 1 } else i = ln(t); n.length <= i.length ? (a = n, o = i, s = c) : (a = i, o = n, s = f); var m = a.length, h = o.length, d = 1 ^ r(c, f), y = new u(1 ^ d), g = new u(1), v = new u(2), x = u.precision; for (u.config({ precision: 1e9 }); m > 0;)r(a[--m], o[--h]) === d && (y = y.plus(g)), g = g.times(v); for (; h > 0;)r(s, o[--h]) === d && (y = y.plus(g)), g = g.times(v); return u.config({ precision: x }), 0 === d && (y.s = -y.s), y } function ln(e) { for (var t = e.d, r = t[0] + "", n = 1; n < t.length; ++n) { for (var i = t[n] + "", a = 7 - i.length; a--;)i = "0" + i; r += i } for (var o = r.length; "0" === r.charAt(o);)o--; var s = e.e, u = r.slice(0, o + 1 || 1), c = u.length; if (s > 0) if (++s > c) for (s -= c; s--;)u += "0"; else s < c && (u = u.slice(0, s) + "." + u.slice(s)); for (var f = [0], l = 0; l < u.length;) { for (var p = f.length; p--;)f[p] *= 10; f[0] += parseInt(u.charAt(l++)); for (var m = 0; m < f.length; ++m)f[m] > 1 && (null !== f[m + 1] && void 0 !== f[m + 1] || (f[m + 1] = 0), f[m + 1] += f[m] >> 1, f[m] &= 1) } return f.reverse() } function pn(e, t) { if (e.isFinite() && !e.isInteger() || t.isFinite() && !t.isInteger()) throw new Error("Integers expected in function bitXor"); var r = e.constructor; if (e.isNaN() || t.isNaN()) return new r(NaN); if (e.isZero()) return t; if (t.isZero()) return e; if (e.eq(t)) return new r(0); var n = new r(-1); return e.eq(n) ? un(t) : t.eq(n) ? un(e) : e.isFinite() && t.isFinite() ? fn(e, t, (function (e, t) { return e ^ t })) : e.isFinite() || t.isFinite() ? new r(e.isNegative() === t.isNegative() ? 1 / 0 : -1 / 0) : n } function mn(e, t) { if (e.isFinite() && !e.isInteger() || t.isFinite() && !t.isInteger()) throw new Error("Integers expected in function leftShift"); var r = e.constructor; return e.isNaN() || t.isNaN() || t.isNegative() && !t.isZero() ? new r(NaN) : e.isZero() || t.isZero() ? e : e.isFinite() || t.isFinite() ? t.lt(55) ? e.times(Math.pow(2, t.toNumber()) + "") : e.times(new r(2).pow(t)) : new r(NaN) } function hn(e, t) { if (e.isFinite() && !e.isInteger() || t.isFinite() && !t.isInteger()) throw new Error("Integers expected in function rightArithShift"); var r = e.constructor; return e.isNaN() || t.isNaN() || t.isNegative() && !t.isZero() ? new r(NaN) : e.isZero() || t.isZero() ? e : t.isFinite() ? t.lt(55) ? e.div(Math.pow(2, t.toNumber()) + "").floor() : e.div(new r(2).pow(t)).floor() : e.isNegative() ? new r(-1) : e.isFinite() ? new r(0) : new r(NaN) } var dn = "number, number"; function yn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function bitAnd"); return e & t } function gn(e) { if (!V(e)) throw new Error("Integer expected in function bitNot"); return ~e } function vn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function bitOr"); return e | t } function xn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function bitXor"); return e ^ t } function bn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function leftShift"); return e << t } function wn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function rightArithShift"); return e >> t } function Nn(e, t) { if (!V(e) || !V(t)) throw new Error("Integers expected in function rightLogShift"); return e >>> t } yn.signature = dn, gn.signature = "number", vn.signature = dn, xn.signature = dn, bn.signature = dn, wn.signature = dn, Nn.signature = dn; var Mn = Je("bitAnd", ["typed", "matrix", "equalScalar"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = Ur({ typed: t, equalScalar: n }), a = Fr({ typed: t, equalScalar: n }), o = Mr({ typed: t, equalScalar: n }), s = jr({ typed: t }), u = Sr({ typed: t }); return t("bitAnd", { "number, number": yn, "BigNumber, BigNumber": sn, "SparseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return i(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return i(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return s(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return u(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return o(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return u(t, e, this, !0) }, "Array, any": function (e, t) { return u(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return u(r(t), e, this, !0).valueOf() } }) })), Sn = Je("bitNot", ["typed"], (function (e) { return (0, e.typed)("bitNot", { number: gn, BigNumber: un, "Array | Matrix": function (e) { return bt(e, this) } }) })), En = Je("bitOr", ["typed", "matrix", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.DenseMatrix, a = Br({ typed: t }), o = Dr({ typed: t, equalScalar: n }), s = Rr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("bitOr", { "number, number": vn, "BigNumber, BigNumber": cn, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(r(t), e, this, !0).valueOf() } }) })), An = Je("algorithm07", ["typed", "DenseMatrix"], (function (e) { var t = e.typed, r = e.DenseMatrix; return function (e, i, a) { var o = e._size, s = e._datatype, u = i._size, c = i._datatype; if (o.length !== u.length) throw new we(o.length, u.length); if (o[0] !== u[0] || o[1] !== u[1]) throw new RangeError("Dimension mismatch. Matrix A (" + o + ") must match Matrix B (" + u + ")"); var f, l, p, m = o[0], h = o[1], d = 0, y = a; "string" == typeof s && s === c && (f = s, d = t.convert(0, f), y = t.find(a, [f, f])); var g = []; for (l = 0; l < m; l++)g[l] = []; var v = [], x = [], b = [], w = []; for (p = 0; p < h; p++) { var N = p + 1; for (n(e, p, b, v, N), n(i, p, w, x, N), l = 0; l < m; l++) { var M = b[l] === N ? v[l] : d, S = w[l] === N ? x[l] : d; g[l][p] = y(M, S) } } return new r({ data: g, size: [m, h], datatype: f }) }; function n(e, t, r, n, i) { for (var a = e._values, o = e._index, s = e._ptr, u = s[t], c = s[t + 1]; u < c; u++) { var f = o[u]; r[f] = i, n[f] = a[u] } } })), On = Je("bitXor", ["typed", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.DenseMatrix, i = Gr({ typed: t }), a = An({ typed: t, DenseMatrix: n }), o = Zr({ typed: t, DenseMatrix: n }), s = jr({ typed: t }), u = Sr({ typed: t }); return t("bitXor", { "number, number": xn, "BigNumber, BigNumber": pn, "SparseMatrix, SparseMatrix": function (e, t) { return a(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return i(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return i(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return s(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return u(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return o(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return u(t, e, this, !0) }, "Array, any": function (e, t) { return u(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return u(r(t), e, this, !0).valueOf() } }) })), Cn = Je("arg", ["typed"], (function (e) { return (0, e.typed)("arg", { number: function (e) { return Math.atan2(0, e) }, BigNumber: function (e) { return e.constructor.atan2(0, e) }, Complex: function (e) { return e.arg() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), _n = Je("conj", ["typed"], (function (e) { return (0, e.typed)("conj", { number: function (e) { return e }, BigNumber: function (e) { return e }, Complex: function (e) { return e.conjugate() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Tn = Je("im", ["typed"], (function (e) { return (0, e.typed)("im", { number: function (e) { return 0 }, BigNumber: function (e) { return e.mul(0) }, Complex: function (e) { return e.im }, "Array | Matrix": function (e) { return bt(e, this) } }) })), qn = Je("re", ["typed"], (function (e) { return (0, e.typed)("re", { number: function (e) { return e }, BigNumber: function (e) { return e }, Complex: function (e) { return e.re }, "Array | Matrix": function (e) { return bt(e, this) } }) })); function zn(e) { return !e } function kn(e, t) { return !(!e && !t) } function In(e, t) { return !!e != !!t } function Bn(e, t) { return !(!e || !t) } zn.signature = "number", kn.signature = "number, number", In.signature = "number, number", Bn.signature = "number, number"; var Dn = Je("not", ["typed"], (function (e) { return (0, e.typed)("not", { number: zn, Complex: function (e) { return 0 === e.re && 0 === e.im }, BigNumber: function (e) { return e.isZero() || e.isNaN() }, Unit: function (e) { return null === e.value || this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Rn = Je("or", ["typed", "matrix", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.DenseMatrix, a = Gr({ typed: t }), o = Vr({ typed: t, equalScalar: n }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("or", { "number, number": kn, "Complex, Complex": function (e, t) { return 0 !== e.re || 0 !== e.im || 0 !== t.re || 0 !== t.im }, "BigNumber, BigNumber": function (e, t) { return !e.isZero() && !e.isNaN() || !t.isZero() && !t.isNaN() }, "Unit, Unit": function (e, t) { return this(e.value || 0, t.value || 0) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(r(t), e, this, !0).valueOf() } }) })), jn = Je("xor", ["typed", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.DenseMatrix, i = Gr({ typed: t }), a = An({ typed: t, DenseMatrix: n }), o = Zr({ typed: t, DenseMatrix: n }), s = jr({ typed: t }), u = Sr({ typed: t }); return t("xor", { "number, number": In, "Complex, Complex": function (e, t) { return (0 !== e.re || 0 !== e.im) != (0 !== t.re || 0 !== t.im) }, "BigNumber, BigNumber": function (e, t) { return (!e.isZero() && !e.isNaN()) != (!t.isZero() && !t.isNaN()) }, "Unit, Unit": function (e, t) { return this(e.value || 0, t.value || 0) }, "SparseMatrix, SparseMatrix": function (e, t) { return a(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return i(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return i(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return s(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return u(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return o(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return u(t, e, this, !0) }, "Array, any": function (e, t) { return u(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return u(r(t), e, this, !0).valueOf() } }) })), Pn = Je("concat", ["typed", "matrix", "isInteger"], (function (e) { var t = e.typed, r = e.matrix, n = e.isInteger; return t("concat", { "...Array | Matrix | number | BigNumber": function (e) { var t, i, s = e.length, u = -1, c = !1, f = []; for (t = 0; t < s; t++) { var l = e[t]; if (p(l) && (c = !0), a(l) || o(l)) { if (t !== s - 1) throw new Error("Dimension must be specified as last argument"); if (i = u, u = l.valueOf(), !n(u)) throw new TypeError("Integer number expected for dimension"); if (u < 0 || t > 0 && u > i) throw new Ne(u, i + 1) } else { var m = Fe(l).valueOf(), h = Me(m); if (f[t] = m, i = u, u = h.length - 1, t > 0 && u !== i) throw new we(i + 1, u + 1) } } if (0 === f.length) throw new SyntaxError("At least one matrix expected"); for (var d = f.shift(); f.length;)d = Un(d, f.shift(), u, 0); return c ? r(d) : d }, "...string": function (e) { return e.join("") } }) })); function Un(e, t, r, n) { if (n < r) { if (e.length !== t.length) throw new we(e.length, t.length); for (var i = [], a = 0; a < e.length; a++)i[a] = Un(e[a], t[a], r, n + 1); return i } return e.concat(t) } var Fn = Je("column", ["typed", "Index", "matrix", "range"], (function (e) { var t = e.typed, r = e.Index, n = e.matrix, i = e.range; return t("column", { "Matrix, number": a, "Array, number": function (e, t) { return a(n(Fe(e)), t).valueOf() } }); function a(e, t) { if (2 !== e.size().length) throw new Error("Only two dimensional matrix is supported"); Ee(t, e.size()[1]); var n = i(0, e.size()[0]), a = new r(n, t); return e.subset(a) } })), Ln = Je("cross", ["typed", "matrix", "subtract", "multiply"], (function (e) { var t = e.typed, r = e.matrix, n = e.subtract, i = e.multiply; return t("cross", { "Matrix, Matrix": function (e, t) { return r(a(e.toArray(), t.toArray())) }, "Matrix, Array": function (e, t) { return r(a(e.toArray(), t)) }, "Array, Matrix": function (e, t) { return r(a(e, t.toArray())) }, "Array, Array": a }); function a(e, t) { var r = Math.max(Me(e).length, Me(t).length); e = Ce(e), t = Ce(t); var a = Me(e), o = Me(t); if (1 !== a.length || 1 !== o.length || 3 !== a[0] || 3 !== o[0]) throw new RangeError("Vectors with length 3 expected (Size A = [" + a.join(", ") + "], B = [" + o.join(", ") + "])"); var s = [n(i(e[1], t[2]), i(e[2], t[1])), n(i(e[2], t[0]), i(e[0], t[2])), n(i(e[0], t[1]), i(e[1], t[0]))]; return r > 1 ? [s] : s } })), Hn = Je("diag", ["typed", "matrix", "DenseMatrix", "SparseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.DenseMatrix, i = e.SparseMatrix; return t("diag", { Array: function (e) { return a(e, 0, Me(e), null) }, "Array, number": function (e, t) { return a(e, t, Me(e), null) }, "Array, BigNumber": function (e, t) { return a(e, t.toNumber(), Me(e), null) }, "Array, string": function (e, t) { return a(e, 0, Me(e), t) }, "Array, number, string": function (e, t, r) { return a(e, t, Me(e), r) }, "Array, BigNumber, string": function (e, t, r) { return a(e, t.toNumber(), Me(e), r) }, Matrix: function (e) { return a(e, 0, e.size(), e.storage()) }, "Matrix, number": function (e, t) { return a(e, t, e.size(), e.storage()) }, "Matrix, BigNumber": function (e, t) { return a(e, t.toNumber(), e.size(), e.storage()) }, "Matrix, string": function (e, t) { return a(e, 0, e.size(), t) }, "Matrix, number, string": function (e, t, r) { return a(e, t, e.size(), r) }, "Matrix, BigNumber, string": function (e, t, r) { return a(e, t.toNumber(), e.size(), r) } }); function a(e, t, a, o) { if (!V(t)) throw new TypeError("Second parameter in function diag must be an integer"); var s = t > 0 ? t : 0, u = t < 0 ? -t : 0; switch (a.length) { case 1: return function (e, t, r, a, o, s) { var u = [a + o, a + s]; if (r && "sparse" !== r && "dense" !== r) throw new TypeError("Unknown matrix type ".concat(r, '"')); var c = "sparse" === r ? i.diagonal(u, e, t) : n.diagonal(u, e, t); return null !== r ? c : c.valueOf() }(e, t, o, a[0], u, s); case 2: return function (e, t, n, i, a, o) { if (p(e)) { var s = e.diagonal(t); return null !== n ? n !== s.storage() ? r(s, n) : s : s.valueOf() } for (var u = Math.min(i[0] - a, i[1] - o), c = [], f = 0; f < u; f++)c[f] = e[f + a][f + o]; return null !== n ? r(c) : c }(e, t, o, a, u, s) }throw new RangeError("Matrix for function diag must be 2 dimensional") } })); function $n(e) { return ($n = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } function Gn(e, t) { return function r() { "object" !== $n(r.cache) && (r.cache = {}); for (var n = [], i = 0; i < arguments.length; i++)n[i] = arguments[i]; var a = t ? t(n) : JSON.stringify(n); return a in r.cache || (r.cache[a] = e.apply(e, n)), r.cache[a] } } function Vn(e) { return Object.keys(e.signatures || {}).reduce((function (e, t) { var r = (t.match(/,/g) || []).length + 1; return Math.max(e, r) }), -1) } var Zn = Je("filter", ["typed"], (function (e) { return (0, e.typed)("filter", { "Array, function": Wn, "Matrix, function": function (e, t) { return e.create(Wn(e.toArray(), t)) }, "Array, RegExp": Ie, "Matrix, RegExp": function (e, t) { return e.create(Ie(e.toArray(), t)) } }) })); function Wn(e, t) { var r = Vn(t); return ke(e, (function (e, n, i) { return 1 === r ? t(e) : 2 === r ? t(e, [n]) : t(e, [n], i) })) } var Jn = Je("flatten", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix; return t("flatten", { Array: function (e) { return Te(Fe(e)) }, Matrix: function (e) { var t = Te(Fe(e.toArray())); return r(t) } }) })), Yn = Je("forEach", ["typed"], (function (e) { return (0, e.typed)("forEach", { "Array, function": Xn, "Matrix, function": function (e, t) { return e.forEach(t) } }) })); function Xn(e, t) { var r = Vn(t); !function n(i, a) { Array.isArray(i) ? ze(i, (function (e, t) { n(e, a.concat(t)) })) : 1 === r ? t(i) : 2 === r ? t(i, a) : t(i, a, e) }(e, []) } var Qn = Je("getMatrixDataType", ["typed"], (function (e) { return (0, e.typed)("getMatrixDataType", { Array: function (e) { return je(e, H) }, Matrix: function (e) { return e.getDataType() } }) })), Kn = Je("identity", ["typed", "config", "matrix", "BigNumber", "DenseMatrix", "SparseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.BigNumber, a = e.DenseMatrix, s = e.SparseMatrix; return t("identity", { "": function () { return "Matrix" === r.matrix ? n([]) : [] }, string: function (e) { return n(e) }, "number | BigNumber": function (e) { return c(e, e, "Matrix" === r.matrix ? "dense" : void 0) }, "number | BigNumber, string": function (e, t) { return c(e, e, t) }, "number | BigNumber, number | BigNumber": function (e, t) { return c(e, t, "Matrix" === r.matrix ? "dense" : void 0) }, "number | BigNumber, number | BigNumber, string": function (e, t, r) { return c(e, t, r) }, Array: function (e) { return u(e) }, "Array, string": function (e, t) { return u(e, t) }, Matrix: function (e) { return u(e.valueOf(), e.storage()) }, "Matrix, string": function (e, t) { return u(e.valueOf(), t) } }); function u(e, t) { switch (e.length) { case 0: return t ? n(t) : []; case 1: return c(e[0], e[0], t); case 2: return c(e[0], e[1], t); default: throw new Error("Vector containing two values expected") } } function c(e, t, r) { var n = o(e) || o(t) ? i : null; if (o(e) && (e = e.toNumber()), o(t) && (t = t.toNumber()), !V(e) || e < 1) throw new Error("Parameters in function identity must be positive integers"); if (!V(t) || t < 1) throw new Error("Parameters in function identity must be positive integers"); var u = n ? new i(1) : 1, c = n ? new n(0) : 0, f = [e, t]; if (r) { if ("sparse" === r) return s.diagonal(f, u, 0, c); if ("dense" === r) return a.diagonal(f, u, 0, c); throw new TypeError('Unknown matrix type "'.concat(r, '"')) } for (var l = Ae([], f, c), p = e < t ? e : t, m = 0; m < p; m++)l[m][m] = u; return l } })), ei = Je("kron", ["typed", "matrix", "multiplyScalar"], (function (e) { var t = e.typed, r = e.matrix, n = e.multiplyScalar; return t("kron", { "Matrix, Matrix": function (e, t) { return r(i(e.toArray(), t.toArray())) }, "Matrix, Array": function (e, t) { return r(i(e.toArray(), t)) }, "Array, Matrix": function (e, t) { return r(i(e, t.toArray())) }, "Array, Array": i }); function i(e, t) { if (1 === Me(e).length && (e = [e]), 1 === Me(t).length && (t = [t]), Me(e).length > 2 || Me(t).length > 2) throw new RangeError("Vectors with dimensions greater then 2 are not supported expected (Size x = " + JSON.stringify(e.length) + ", y = " + JSON.stringify(t.length) + ")"); var r = [], i = []; return e.map((function (e) { return t.map((function (t) { return i = [], r.push(i), e.map((function (e) { return t.map((function (t) { return i.push(n(e, t)) })) })) })) })) && r } })), ti = Je("map", ["typed"], (function (e) { return (0, e.typed)("map", { "Array, function": ri, "Matrix, function": function (e, t) { return e.map(t) } }) })); function ri(e, t) { var r = Vn(t); return function n(i, a) { return Array.isArray(i) ? i.map((function (e, t) { return n(e, a.concat(t)) })) : 1 === r ? t(i) : 2 === r ? t(i, a) : t(i, a, e) }(e, []) } var ni = Je("diff", ["typed", "matrix", "subtract", "number"], (function (e) { var t = e.typed, r = e.matrix, n = e.subtract, i = e.number; return t("diff", { "Array | Matrix": function (e) { return p(e) ? r(o(e.toArray())) : o(e) }, "Array | Matrix, number": function (e, t) { if (!V(t)) throw new RangeError("Dimension must be a whole number"); return p(e) ? r(a(e.toArray(), t)) : a(e, t) }, "Array | Matrix, BigNumber": function (e, t) { return this(e, i(t)) } }); function a(e, t) { if (p(e) && (e = e.toArray()), !Array.isArray(e)) throw RangeError("Array/Matrix does not have that many dimensions"); if (t > 0) { var r = []; return e.forEach((function (e) { r.push(a(e, t - 1)) })), r } if (0 === t) return o(e); throw RangeError("Cannot have negative dimension") } function o(e) { var t = [], r = e.length; if (r < 2) return e; for (var n = 1; n < r; n++)t.push(s(e[n - 1], e[n])); return t } function s(e, t) { p(e) && (e = e.toArray()), p(t) && (t = t.toArray()); var r = Array.isArray(e), i = Array.isArray(t); if (r && i) return function (e, t) { if (e.length !== t.length) throw RangeError("Not all sub-arrays have the same length"); for (var r = [], n = e.length, i = 0; i < n; i++)r.push(s(e[i], t[i])); return r }(e, t); if (!r && !i) return n(t, e); throw TypeError("Cannot calculate difference between 1 array and 1 non-array") } })), ii = Je("ones", ["typed", "config", "matrix", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.BigNumber; return t("ones", { "": function () { return "Array" === r.matrix ? a([]) : a([], "default") }, "...number | BigNumber | string": function (e) { if ("string" == typeof e[e.length - 1]) { var t = e.pop(); return a(e, t) } return "Array" === r.matrix ? a(e) : a(e, "default") }, Array: a, Matrix: function (e) { var t = e.storage(); return a(e.valueOf(), t) }, "Array | Matrix, string": function (e, t) { return a(e.valueOf(), t) } }); function a(e, t) { var r = function (e) { var t = !1; return e.forEach((function (e, r, n) { o(e) && (t = !0, n[r] = e.toNumber()) })), t }(e) ? new i(1) : 1; if (function (e) { e.forEach((function (e) { if ("number" != typeof e || !V(e) || e < 0) throw new Error("Parameters in function ones must be positive integers") })) }(e), t) { var a = n(t); return e.length > 0 ? a.resize(e, r) : a } var s = []; return e.length > 0 ? Ae(s, e, r) : s } })); function ai() { throw new Error('No "bignumber" implementation available') } function oi() { throw new Error('No "fraction" implementation available') } function si() { throw new Error('No "matrix" implementation available') } var ui = Je("range", ["typed", "config", "?matrix", "?bignumber", "smaller", "smallerEq", "larger", "largerEq"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.bignumber, a = e.smaller, o = e.smallerEq, s = e.larger, u = e.largerEq; return t("range", { string: f, "string, boolean": f, "number, number": function (e, t) { return c(l(e, t, 1)) }, "number, number, number": function (e, t, r) { return c(l(e, t, r)) }, "number, number, boolean": function (e, t, r) { return c(r ? p(e, t, 1) : l(e, t, 1)) }, "number, number, number, boolean": function (e, t, r, n) { return c(n ? p(e, t, r) : l(e, t, r)) }, "BigNumber, BigNumber": function (e, t) { return c(m(e, t, new (0, e.constructor)(1))) }, "BigNumber, BigNumber, BigNumber": function (e, t, r) { return c(m(e, t, r)) }, "BigNumber, BigNumber, boolean": function (e, t, r) { var n = e.constructor; return c(r ? h(e, t, new n(1)) : m(e, t, new n(1))) }, "BigNumber, BigNumber, BigNumber, boolean": function (e, t, r, n) { return c(n ? h(e, t, r) : m(e, t, r)) } }); function c(e) { return "Matrix" === r.matrix ? n ? n(e) : si() : e } function f(e, t) { var n = function (e) { var t = e.split(":").map((function (e) { return Number(e) })); if (t.some((function (e) { return isNaN(e) }))) return null; switch (t.length) { case 2: return { start: t[0], end: t[1], step: 1 }; case 3: return { start: t[0], end: t[2], step: t[1] }; default: return null } }(e); if (!n) throw new SyntaxError('String "' + e + '" is no valid range'); return "BigNumber" === r.number ? (void 0 === i && ai(), c((t ? h : m)(i(n.start), i(n.end), i(n.step)))) : c((t ? p : l)(n.start, n.end, n.step)) } function l(e, t, r) { var n = [], i = e; if (r > 0) for (; a(i, t);)n.push(i), i += r; else if (r < 0) for (; s(i, t);)n.push(i), i += r; return n } function p(e, t, r) { var n = [], i = e; if (r > 0) for (; o(i, t);)n.push(i), i += r; else if (r < 0) for (; u(i, t);)n.push(i), i += r; return n } function m(e, t, r) { var n = i(0), o = [], u = e; if (r.gt(n)) for (; a(u, t);)o.push(u), u = u.plus(r); else if (r.lt(n)) for (; s(u, t);)o.push(u), u = u.plus(r); return o } function h(e, t, r) { var n = i(0), a = [], s = e; if (r.gt(n)) for (; o(s, t);)a.push(s), s = s.plus(r); else if (r.lt(n)) for (; u(s, t);)a.push(s), s = s.plus(r); return a } })), ci = Je("reshape", ["typed", "isInteger", "matrix"], (function (e) { var t = e.typed, r = e.isInteger, n = e.matrix; return t("reshape", { "Matrix, Array": function (e, t) { return e.reshape ? e.reshape(t) : n(Oe(e.valueOf(), t)) }, "Array, Array": function (e, t) { return t.forEach((function (e) { if (!r(e)) throw new TypeError("Invalid size for dimension: " + e) })), Oe(e, t) } }) })); function fi(e, t, r, n) { if (!(this instanceof fi)) throw new SyntaxError("Constructor must be called with the new operator"); this.fn = e, this.count = t, this.min = r, this.max = n, this.message = "Wrong number of arguments in function " + e + " (" + t + " provided, " + r + (null != n ? "-" + n : "") + " expected)", this.stack = (new Error).stack } fi.prototype = new Error, fi.prototype.constructor = Error, fi.prototype.name = "ArgumentsError", fi.prototype.isArgumentsError = !0; var li = Je("resize", ["config", "matrix"], (function (e) { var t = e.config, r = e.matrix; return function (e, i, a) { if (2 !== arguments.length && 3 !== arguments.length) throw new fi("resize", arguments.length, 2, 3); if (p(i) && (i = i.valueOf()), o(i[0]) && (i = i.map((function (e) { return o(e) ? e.toNumber() : e }))), p(e)) return e.resize(i, a, !0); if ("string" == typeof e) return n(e, i, a); var s = !Array.isArray(e) && "Array" !== t.matrix; if (0 === i.length) { for (; Array.isArray(e);)e = e[0]; return Fe(e) } Array.isArray(e) || (e = [e]); var u = Ae(e = Fe(e), i, a); return s ? r(u) : u }; function n(e, t, r) { if (void 0 !== r) { if ("string" != typeof r || 1 !== r.length) throw new TypeError("Single character expected as defaultValue") } else r = " "; if (1 !== t.length) throw new we(t.length, 1); var n = t[0]; if ("number" != typeof n || !V(n)) throw new TypeError("Invalid size, must contain positive integers (size: " + ge(t) + ")"); if (e.length > n) return e.substring(0, n); if (e.length < n) { for (var i = e, a = 0, o = n - e.length; a < o; a++)i += r; return i } return e } })), pi = Je("rotate", ["typed", "multiply", "rotationMatrix"], (function (e) { var t = e.typed, r = e.multiply, n = e.rotationMatrix; return t("rotate", { "Array , number | BigNumber | Complex | Unit": function (e, t) { return i(e, 2), r(n(t), e).toArray() }, "Matrix , number | BigNumber | Complex | Unit": function (e, t) { return i(e, 2), r(n(t), e) }, "Array, number | BigNumber | Complex | Unit, Array | Matrix": function (e, t, a) { return i(e, 3), r(n(t, a), e) }, "Matrix, number | BigNumber | Complex | Unit, Array | Matrix": function (e, t, a) { return i(e, 3), r(n(t, a), e) } }); function i(e, t) { var r = Array.isArray(e) ? Me(e) : e.size(); if (r.length > 2) throw new RangeError("Vector must be of dimensions 1x".concat(t)); if (2 === r.length && 1 !== r[1]) throw new RangeError("Vector must be of dimensions 1x".concat(t)); if (r[0] !== t) throw new RangeError("Vector must be of dimensions 1x".concat(t)) } })), mi = Je("rotationMatrix", ["typed", "config", "multiplyScalar", "addScalar", "unaryMinus", "norm", "matrix", "BigNumber", "DenseMatrix", "SparseMatrix", "cos", "sin"], (function (e) { var t = e.typed, r = e.config, n = e.multiplyScalar, i = e.addScalar, a = e.unaryMinus, s = e.norm, u = e.BigNumber, c = e.matrix, f = e.DenseMatrix, l = e.SparseMatrix, p = e.cos, m = e.sin; return t("rotationMatrix", { "": function () { return "Matrix" === r.matrix ? c([]) : [] }, string: function (e) { return c(e) }, "number | BigNumber | Complex | Unit": function (e) { return h(e, "Matrix" === r.matrix ? "dense" : void 0) }, "number | BigNumber | Complex | Unit, string": function (e, t) { return h(e, t) }, "number | BigNumber | Complex | Unit, Array": function (e, t) { var r = c(t); return d(r), v(e, r, void 0) }, "number | BigNumber | Complex | Unit, Matrix": function (e, t) { d(t); var n = t.storage() || ("Matrix" === r.matrix ? "dense" : void 0); return v(e, t, n) }, "number | BigNumber | Complex | Unit, Array, string": function (e, t, r) { var n = c(t); return d(n), v(e, n, r) }, "number | BigNumber | Complex | Unit, Matrix, string": function (e, t, r) { return d(t), v(e, t, r) } }); function h(e, t) { var r = o(e) ? new u(-1) : -1, i = p(e), a = m(e); return g([[i, n(r, a)], [a, i]], t) } function d(e) { var t = e.size(); if (t.length < 1 || 3 !== t[0]) throw new RangeError("Vector must be of dimensions 1x3") } function y(e) { return e.reduce((function (e, t) { return n(e, t) })) } function g(e, t) { if (t) { if ("sparse" === t) return new l(e); if ("dense" === t) return new f(e); throw new TypeError('Unknown matrix type "'.concat(t, '"')) } return e } function v(e, t, r) { var n = s(t); if (0 === n) throw new RangeError("Rotation around zero vector"); var c = o(e) ? u : null, f = c ? new c(1) : 1, l = c ? new c(-1) : -1, h = c ? new c(t.get([0]) / n) : t.get([0]) / n, d = c ? new c(t.get([1]) / n) : t.get([1]) / n, v = c ? new c(t.get([2]) / n) : t.get([2]) / n, x = p(e), b = i(f, a(x)), w = m(e); return g([[i(x, y([h, h, b])), i(y([h, d, b]), y([l, v, w])), i(y([h, v, b]), y([d, w]))], [i(y([h, d, b]), y([v, w])), i(x, y([d, d, b])), i(y([d, v, b]), y([l, h, w]))], [i(y([h, v, b]), y([l, d, w])), i(y([d, v, b]), y([h, w])), i(x, y([v, v, b]))]], r) } })), hi = Je("row", ["typed", "Index", "matrix", "range"], (function (e) { var t = e.typed, r = e.Index, n = e.matrix, i = e.range; return t("row", { "Matrix, number": a, "Array, number": function (e, t) { return a(n(Fe(e)), t).valueOf() } }); function a(e, t) { if (2 !== e.size().length) throw new Error("Only two dimensional matrix is supported"); Ee(t, e.size()[0]); var n = i(0, e.size()[1]), a = new r(t, n); return e.subset(a) } })), di = Je("size", ["typed", "config", "?matrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix; return t("size", { Matrix: function (e) { return e.create(e.size()) }, Array: Me, string: function (e) { return "Array" === r.matrix ? [e.length] : n([e.length]) }, "number | Complex | BigNumber | Unit | boolean | null": function (e) { return "Array" === r.matrix ? [] : n ? n([]) : si() } }) })), yi = Je("squeeze", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix; return t("squeeze", { Array: function (e) { return Ce(Fe(e)) }, Matrix: function (e) { var t = Ce(e.toArray()); return Array.isArray(t) ? r(t) : t }, any: function (e) { return Fe(e) } }) })); function gi(e) { return (gi = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } function vi(e, t) { if (Ni(e) && bi(e, t)) return e[t]; if ("function" == typeof e[t] && wi(e, t)) throw new Error('Cannot access method "' + t + '" as a property'); throw new Error('No access to property "' + t + '"') } function xi(e, t, r) { if (Ni(e) && bi(e, t)) return e[t] = r, r; throw new Error('No access to property "' + t + '"') } function bi(e, t) { return !(!e || "object" !== gi(e)) && (!!Ze(Mi, t) || !(t in Object.prototype) && !(t in Function.prototype)) } function wi(e, t) { return null != e && "function" == typeof e[t] && (!(Ze(e, t) && Object.getPrototypeOf && t in Object.getPrototypeOf(e)) && (!!Ze(Si, t) || !(t in Object.prototype) && !(t in Function.prototype))) } function Ni(e) { return "object" === gi(e) && e && e.constructor === Object } var Mi = { length: !0, name: !0 }, Si = { toString: !0, valueOf: !0, toLocaleString: !0 }, Ei = Je("subset", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix; return t("subset", { "Array, Index": function (e, t) { var n = r(e).subset(t); return t.isScalar() ? n : n.valueOf() }, "Matrix, Index": function (e, t) { return e.subset(t) }, "Object, Index": Ci, "string, Index": Ai, "Array, Index, any": function (e, t, n) { return r(Fe(e)).subset(t, n, void 0).valueOf() }, "Array, Index, any, any": function (e, t, n, i) { return r(Fe(e)).subset(t, n, i).valueOf() }, "Matrix, Index, any": function (e, t, r) { return e.clone().subset(t, r) }, "Matrix, Index, any, any": function (e, t, r, n) { return e.clone().subset(t, r, n) }, "string, Index, string": Oi, "string, Index, string, string": Oi, "Object, Index, any": _i }) })); function Ai(e, t) { if (!g(t)) throw new TypeError("Index expected"); if (1 !== t.size().length) throw new we(t.size().length, 1); var r = e.length; Ee(t.min()[0], r), Ee(t.max()[0], r); var n = t.dimension(0), i = ""; return n.forEach((function (t) { i += e.charAt(t) })), i } function Oi(e, t, r, n) { if (!t || !0 !== t.isIndex) throw new TypeError("Index expected"); if (1 !== t.size().length) throw new we(t.size().length, 1); if (void 0 !== n) { if ("string" != typeof n || 1 !== n.length) throw new TypeError("Single character expected as defaultValue") } else n = " "; var i = t.dimension(0); if (i.size()[0] !== r.length) throw new we(i.size()[0], r.length); var a = e.length; Ee(t.min()[0]), Ee(t.max()[0]); for (var o = [], s = 0; s < a; s++)o[s] = e.charAt(s); if (i.forEach((function (e, t) { o[e] = r.charAt(t[0]) })), o.length > a) for (var u = a - 1, c = o.length; u < c; u++)o[u] || (o[u] = n); return o.join("") } function Ci(e, t) { if (1 !== t.size().length) throw new we(t.size(), 1); var r = t.dimension(0); if ("string" != typeof r) throw new TypeError("String expected as index to retrieve an object property"); return vi(e, r) } function _i(e, t, r) { if (1 !== t.size().length) throw new we(t.size(), 1); var n = t.dimension(0); if ("string" != typeof n) throw new TypeError("String expected as index to retrieve an object property"); var i = Fe(e); return xi(i, n, r), i } var Ti = Je("transpose", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix; return t("transpose", { Array: function (e) { return this(r(e)).valueOf() }, Matrix: function (e) { var t, r = e.size(); switch (r.length) { case 1: t = e.clone(); break; case 2: var n = r[0], i = r[1]; if (0 === i) throw new RangeError("Cannot transpose a 2D matrix with no columns (size: " + ge(r) + ")"); switch (e.storage()) { case "dense": t = function (e, t, r) { for (var n, i = e._data, a = [], o = 0; o < r; o++) { n = a[o] = []; for (var s = 0; s < t; s++)n[s] = Fe(i[s][o]) } return e.createDenseMatrix({ data: a, size: [r, t], datatype: e._datatype }) }(e, n, i); break; case "sparse": t = function (e, t, r) { for (var n, i, a, o = e._values, s = e._index, u = e._ptr, c = o ? [] : void 0, f = [], l = [], p = [], m = 0; m < t; m++)p[m] = 0; for (n = 0, i = s.length; n < i; n++)p[s[n]]++; for (var h = 0, d = 0; d < t; d++)l.push(h), h += p[d], p[d] = l[d]; for (l.push(h), a = 0; a < r; a++)for (var y = u[a], g = u[a + 1], v = y; v < g; v++) { var x = p[s[v]]++; f[x] = a, o && (c[x] = Fe(o[v])) } return e.createSparseMatrix({ values: c, index: f, ptr: l, size: [r, t], datatype: e._datatype }) }(e, n, i) }break; default: throw new RangeError("Matrix must be a vector or two dimensional (size: " + ge(this._size) + ")") }return t }, any: function (e) { return Fe(e) } }) })), qi = Je("ctranspose", ["typed", "transpose", "conj"], (function (e) { var t = e.typed, r = e.transpose, n = e.conj; return t("ctranspose", { any: function (e) { return n(r(e)) } }) })), zi = Je("zeros", ["typed", "config", "matrix", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.BigNumber; return t("zeros", { "": function () { return "Array" === r.matrix ? a([]) : a([], "default") }, "...number | BigNumber | string": function (e) { if ("string" == typeof e[e.length - 1]) { var t = e.pop(); return a(e, t) } return "Array" === r.matrix ? a(e) : a(e, "default") }, Array: a, Matrix: function (e) { var t = e.storage(); return a(e.valueOf(), t) }, "Array | Matrix, string": function (e, t) { return a(e.valueOf(), t) } }); function a(e, t) { var r = function (e) { var t = !1; return e.forEach((function (e, r, n) { o(e) && (t = !0, n[r] = e.toNumber()) })), t }(e) ? new i(0) : 0; if (function (e) { e.forEach((function (e) { if ("number" != typeof e || !V(e) || e < 0) throw new Error("Parameters in function zeros must be positive integers") })) }(e), t) { var a = n(t); return e.length > 0 ? a.resize(e, r) : a } var s = []; return e.length > 0 ? Ae(s, e, r) : s } })), ki = Je("erf", ["typed"], (function (e) { return (0, e.typed)("name", { number: function (e) { var t = Math.abs(e); return t >= ji ? Z(e) : t <= Ii ? Z(e) * function (e) { var t, r = e * e, n = Di[0][4] * r, i = r; for (t = 0; t < 3; t += 1)n = (n + Di[0][t]) * r, i = (i + Ri[0][t]) * r; return e * (n + Di[0][3]) / (i + Ri[0][3]) }(t) : t <= 4 ? Z(e) * (1 - function (e) { var t, r = Di[1][8] * e, n = e; for (t = 0; t < 7; t += 1)r = (r + Di[1][t]) * e, n = (n + Ri[1][t]) * e; var i = (r + Di[1][7]) / (n + Ri[1][7]), a = parseInt(16 * e) / 16, o = (e - a) * (e + a); return Math.exp(-a * a) * Math.exp(-o) * i }(t)) : Z(e) * (1 - function (e) { var t, r = 1 / (e * e), n = Di[2][5] * r, i = r; for (t = 0; t < 4; t += 1)n = (n + Di[2][t]) * r, i = (i + Ri[2][t]) * r; var a = r * (n + Di[2][4]) / (i + Ri[2][4]); a = (Bi - a) / e, r = parseInt(16 * e) / 16; var o = (e - r) * (e + r); return Math.exp(-r * r) * Math.exp(-o) * a }(t)) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Ii = .46875, Bi = .5641895835477563, Di = [[3.1611237438705655, 113.86415415105016, 377.485237685302, 3209.3775891384694, .18577770618460315], [.5641884969886701, 8.883149794388377, 66.11919063714163, 298.6351381974001, 881.952221241769, 1712.0476126340707, 2051.0783778260716, 1230.3393547979972, 2.1531153547440383e-8], [.30532663496123236, .36034489994980445, .12578172611122926, .016083785148742275, .0006587491615298378, .016315387137302097]], Ri = [[23.601290952344122, 244.02463793444417, 1282.6165260773723, 2844.236833439171], [15.744926110709835, 117.6939508913125, 537.1811018620099, 1621.3895745666903, 3290.7992357334597, 4362.619090143247, 3439.3676741437216, 1230.3393548037495], [2.568520192289822, 1.8729528499234604, .5279051029514285, .06051834131244132, .0023352049762686918]], ji = Math.pow(2, 53), Pi = Je("mode", ["typed", "isNaN", "isNumeric"], (function (e) { var t = e.typed, r = e.isNaN, n = e.isNumeric; return t("mode", { "Array | Matrix": i, "...": function (e) { return i(e) } }); function i(e) { if (0 === (e = Te(e.valueOf())).length) throw new Error("Cannot calculate mode of an empty array"); for (var t = {}, i = [], a = 0, o = 0; o < e.length; o++) { var s = e[o]; if (n(s) && r(s)) throw new Error("Cannot calculate mode of an array containing NaN values"); s in t || (t[s] = 0), t[s]++, t[s] === a ? i.push(s) : t[s] > a && (a = t[s], i = [s]) } return i } })); function Ui(e, t, r) { var n; return -1 !== String(e).indexOf("Unexpected type") ? (n = arguments.length > 2 ? " (type: " + H(r) + ", value: " + JSON.stringify(r) + ")" : " (type: " + e.data.actual + ")", new TypeError("Cannot calculate " + t + ", unexpected type of argument" + n)) : -1 !== String(e).indexOf("complex numbers") ? (n = arguments.length > 2 ? " (type: " + H(r) + ", value: " + JSON.stringify(r) + ")" : "", new TypeError("Cannot calculate " + t + ", no ordering relation is defined for complex numbers" + n)) : e } var Fi = Je("prod", ["typed", "config", "multiplyScalar", "numeric"], (function (e) { var t = e.typed, r = e.config, n = e.multiplyScalar, i = e.numeric; return t("prod", { "Array | Matrix": a, "Array | Matrix, number | BigNumber": function (e, t) { throw new Error("prod(A, dim) is not yet supported") }, "...": function (e) { return a(e) } }); function a(e) { var t; if (xt(e, (function (e) { try { t = void 0 === t ? e : n(t, e) } catch (t) { throw Ui(t, "prod", e) } })), "string" == typeof t && (t = i(t, r.number)), void 0 === t) throw new Error("Cannot calculate prod of an empty array"); return t } })), Li = Je("format", ["typed"], (function (e) { return (0, e.typed)("format", { any: ge, "any, Object | function | number": ge }) })); function Hi(e) { var t = { 2: "0b", 8: "0o", 16: "0x" }[e]; return function (r) { if (r > Math.pow(2, 31) - 1 || r < -Math.pow(2, 31)) throw new Error("Value must be in range [-2^31, 2^31-1]"); if (!V(r)) throw new Error("Value must be an integer"); return r < 0 && (r += Math.pow(2, 32)), "".concat(t).concat(r.toString(e)) } } var $i = ["typed"]; function Gi(e, t) { return Je(e, $i, (function (r) { return (0, r.typed)(e, { number: Hi(t) }) })) } var Vi = Gi("bin", 2), Zi = Gi("oct", 8), Wi = Gi("hex", 16), Ji = Je("print", ["typed"], (function (e) { return (0, e.typed)("print", { "string, Object | Array": Yi, "string, Object | Array, number | Object": Yi }) })); function Yi(e, t, r) { return e.replace(/\$([\w.]+)/g, (function (e, n) { for (var i = n.split("."), a = t[i.shift()]; i.length && void 0 !== a;) { var o = i.shift(); a = o ? a[o] : a + "." } return void 0 !== a ? f(a) ? a : ge(a, r) : e })) } var Xi = Je("to", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix, n = jr({ typed: t }), i = Sr({ typed: t }); return t("to", { "Unit, Unit | string": function (e, t) { return e.to(t) }, "Matrix, Matrix": function (e, t) { return n(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "Matrix, any": function (e, t) { return i(e, t, this, !1) }, "any, Matrix": function (e, t) { return i(t, e, this, !0) }, "Array, any": function (e, t) { return i(r(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return i(r(t), e, this, !0).valueOf() } }) })), Qi = Je("isPrime", ["typed"], (function (e) { return (0, e.typed)("isPrime", { number: function (e) { if (0 * e != 0) return !1; if (e <= 3) return e > 1; if (e % 2 == 0 || e % 3 == 0) return !1; for (var t = 5; t * t <= e; t += 6)if (e % t == 0 || e % (t + 2) == 0) return !1; return !0 }, BigNumber: function (e) { if (0 * e.toNumber() != 0) return !1; if (e.lte(3)) return e.gt(1); if (e.mod(2).eq(0) || e.mod(3).eq(0)) return !1; for (var t = 5; e.gte(t * t); t += 6)if (e.mod(t).eq(0) || e.mod(t + 2).eq(0)) return !1; return !0 }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Ki = Je("numeric", ["number", "?bignumber", "?fraction"], (function (e) { var t = e.number, r = e.bignumber, n = e.fraction, i = { string: !0, number: !0, BigNumber: !0, Fraction: !0 }, a = { number: function (e) { return t(e) }, BigNumber: r ? function (e) { return r(e) } : ai, Fraction: n ? function (e) { return n(e) } : oi }; return function (e, t) { var r = H(e); if (!(r in i)) throw new TypeError("Cannot convert " + e + ' of type "' + r + '"; valid input types are ' + Object.keys(i).join(", ")); if (!(t in a)) throw new TypeError("Cannot convert " + e + ' to type "' + t + '"; valid output types are ' + Object.keys(a).join(", ")); return t === r ? e : a[t](e) } })), ea = Je("divideScalar", ["typed", "numeric"], (function (e) { var t = e.typed, r = e.numeric; return t("divideScalar", { "number, number": function (e, t) { return e / t }, "Complex, Complex": function (e, t) { return e.div(t) }, "BigNumber, BigNumber": function (e, t) { return e.div(t) }, "Fraction, Fraction": function (e, t) { return e.div(t) }, "Unit, number | Fraction | BigNumber": function (e, t) { var n = e.clone(), i = r(1, H(t)); return n.value = this(null === n.value ? n._normalize(i) : n.value, t), n }, "number | Fraction | BigNumber, Unit": function (e, t) { var n = t.clone(); n = n.pow(-1); var i = r(1, H(e)); return n.value = this(e, null === t.value ? t._normalize(i) : t.value), n }, "Unit, Unit": function (e, t) { return e.divide(t) } }) })), ta = Je("pow", ["typed", "config", "identity", "multiply", "matrix", "fraction", "number", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.identity, i = e.multiply, a = e.matrix, o = e.number, s = e.fraction, u = e.Complex; return t("pow", { "number, number": c, "Complex, Complex": function (e, t) { return e.pow(t) }, "BigNumber, BigNumber": function (e, t) { return t.isInteger() || e >= 0 || r.predictable ? e.pow(t) : new u(e.toNumber(), 0).pow(t.toNumber(), 0) }, "Fraction, Fraction": function (e, t) { if (1 !== t.d) { if (r.predictable) throw new Error("Function pow does not support non-integer exponents for fractions."); return c(e.valueOf(), t.valueOf()) } return e.pow(t) }, "Array, number": f, "Array, BigNumber": function (e, t) { return f(e, t.toNumber()) }, "Matrix, number": l, "Matrix, BigNumber": function (e, t) { return l(e, t.toNumber()) }, "Unit, number | BigNumber": function (e, t) { return e.pow(t) } }); function c(e, t) { if (r.predictable && !V(t) && e < 0) try { var n = s(t), i = o(n); if ((t === i || Math.abs((t - i) / t) < 1e-14) && n.d % 2 == 1) return (n.n % 2 == 0 ? 1 : -1) * Math.pow(-e, t) } catch (e) { } return r.predictable && (e < -1 && t === 1 / 0 || e > -1 && e < 0 && t === -1 / 0) ? NaN : V(t) || e >= 0 || r.predictable ? hr(e, t) : e * e < 1 && t === 1 / 0 || e * e > 1 && t === -1 / 0 ? 0 : new u(e, 0).pow(t, 0) } function f(e, t) { if (!V(t) || t < 0) throw new TypeError("For A^b, b must be a positive integer (value is " + t + ")"); var r = Me(e); if (2 !== r.length) throw new Error("For A^b, A must be 2 dimensional (A has " + r.length + " dimensions)"); if (r[0] !== r[1]) throw new Error("For A^b, A must be square (size is " + r[0] + "x" + r[1] + ")"); for (var a = n(r[0]).valueOf(), o = e; t >= 1;)1 == (1 & t) && (a = i(o, a)), t >>= 1, o = i(o, o); return a } function l(e, t) { return a(f(e.valueOf(), t)) } })); function ra(e, t) { var r = Object.keys(e); if (Object.getOwnPropertySymbols) { var n = Object.getOwnPropertySymbols(e); t && (n = n.filter((function (t) { return Object.getOwnPropertyDescriptor(e, t).enumerable }))), r.push.apply(r, n) } return r } function na(e) { for (var t = 1; t < arguments.length; t++) { var r = null != arguments[t] ? arguments[t] : {}; t % 2 ? ra(Object(r), !0).forEach((function (t) { ia(e, t, r[t]) })) : Object.getOwnPropertyDescriptors ? Object.defineProperties(e, Object.getOwnPropertyDescriptors(r)) : ra(Object(r)).forEach((function (t) { Object.defineProperty(e, t, Object.getOwnPropertyDescriptor(r, t)) })) } return e } function ia(e, t, r) { return t in e ? Object.defineProperty(e, t, { value: r, enumerable: !0, configurable: !0, writable: !0 }) : e[t] = r, e } var aa = "Number of decimals in function round must be an integer", oa = Je("round", ["typed", "matrix", "equalScalar", "zeros", "BigNumber", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.zeros, a = e.BigNumber, o = e.DenseMatrix, s = Mr({ typed: t, equalScalar: n }), u = Zr({ typed: t, DenseMatrix: o }), c = Sr({ typed: t }); return t("round", na(na({}, sa), {}, { Complex: function (e) { return e.round() }, "Complex, number": function (e, t) { if (t % 1) throw new TypeError(aa); return e.round(t) }, "Complex, BigNumber": function (e, t) { if (!t.isInteger()) throw new TypeError(aa); var r = t.toNumber(); return e.round(r) }, "number, BigNumber": function (e, t) { if (!t.isInteger()) throw new TypeError(aa); return new a(e).toDecimalPlaces(t.toNumber()) }, BigNumber: function (e) { return e.toDecimalPlaces(0) }, "BigNumber, BigNumber": function (e, t) { if (!t.isInteger()) throw new TypeError(aa); return e.toDecimalPlaces(t.toNumber()) }, Fraction: function (e) { return e.round() }, "Fraction, number": function (e, t) { if (t % 1) throw new TypeError(aa); return e.round(t) }, "Array | Matrix": function (e) { return bt(e, this, !0) }, "SparseMatrix, number | BigNumber": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return c(e, t, this, !1) }, "number | Complex | BigNumber, SparseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : u(t, e, this, !0) }, "number | Complex | BigNumber, DenseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : c(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return c(r(e), t, this, !1).valueOf() }, "number | Complex | BigNumber, Array": function (e, t) { return c(r(t), e, this, !0).valueOf() } })) })), sa = { number: dr, "number, number": function (e, t) { if (!V(t)) throw new TypeError(aa); if (t < 0 || t > 15) throw new Error("Number of decimals in function round must be in te range of 0-15"); return dr(e, t) } }, ua = Je("log", ["config", "typed", "divideScalar", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.divideScalar, i = e.Complex; return t("log", { number: function (e) { return e >= 0 || r.predictable ? or(e) : new i(e, 0).log() }, Complex: function (e) { return e.log() }, BigNumber: function (e) { return !e.isNegative() || r.predictable ? e.ln() : new i(e.toNumber(), 0).log() }, "Array | Matrix": function (e) { return bt(e, this) }, "any, any": function (e, t) { return n(this(e), this(t)) } }) })), ca = Je("log1p", ["typed", "config", "divideScalar", "log", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.divideScalar, i = e.log, a = e.Complex; return t("log1p", { number: function (e) { return e >= -1 || r.predictable ? Y(e) : o(new a(e, 0)) }, Complex: o, BigNumber: function (e) { var t = e.plus(1); return !t.isNegative() || r.predictable ? t.ln() : o(new a(e.toNumber(), 0)) }, "Array | Matrix": function (e) { return bt(e, this) }, "any, any": function (e, t) { return n(this(e), i(t)) } }); function o(e) { var t = e.re + 1; return new a(Math.log(Math.sqrt(t * t + e.im * e.im)), Math.atan2(e.im, t)) } })), fa = Je("nthRoots", ["config", "typed", "divideScalar", "Complex"], (function (e) { var t = e.typed, r = (e.config, e.divideScalar, e.Complex), n = [function (e) { return new r(e, 0) }, function (e) { return new r(0, e) }, function (e) { return new r(-e, 0) }, function (e) { return new r(0, -e) }]; function i(e, t) { if (t < 0) throw new Error("Root must be greater than zero"); if (0 === t) throw new Error("Root must be non-zero"); if (t % 1 != 0) throw new Error("Root must be an integer"); if (0 === e || 0 === e.abs()) return [new r(0, 0)]; var i, a = "number" == typeof e; (a || 0 === e.re || 0 === e.im) && (i = a ? 2 * +(e < 0) : 0 === e.im ? 2 * +(e.re < 0) : 2 * +(e.im < 0) + 1); for (var o = e.arg(), s = e.abs(), u = [], c = Math.pow(s, 1 / t), f = 0; f < t; f++) { var l = (i + 4 * f) / t; l !== Math.round(l) ? u.push(new r({ r: c, phi: (o + 2 * Math.PI * f) / t })) : u.push(n[l % 4](c)) } return u } return t("nthRoots", { Complex: function (e) { return i(e, 2) }, "Complex, number": i }) })), la = Je("dotPow", ["typed", "equalScalar", "matrix", "pow", "DenseMatrix"], (function (e) { var t = e.typed, r = e.equalScalar, n = e.matrix, i = e.pow, a = e.DenseMatrix, o = Gr({ typed: t }), s = An({ typed: t, DenseMatrix: a }), u = Mr({ typed: t, equalScalar: r }), c = Zr({ typed: t, DenseMatrix: a }), f = jr({ typed: t }), l = Sr({ typed: t }); return t("dotPow", { "any, any": i, "SparseMatrix, SparseMatrix": function (e, t) { return s(e, t, i, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, i, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, i, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return f(e, t, i) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return u(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return l(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return c(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return l(t, e, this, !0) }, "Array, any": function (e, t) { return l(n(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return l(n(t), e, this, !0).valueOf() } }) })), pa = Je("dotDivide", ["typed", "matrix", "equalScalar", "divideScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.divideScalar, a = e.DenseMatrix, o = Ur({ typed: t, equalScalar: n }), s = Gr({ typed: t }), u = An({ typed: t, DenseMatrix: a }), c = Mr({ typed: t, equalScalar: n }), f = Zr({ typed: t, DenseMatrix: a }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("dotDivide", { "any, any": i, "SparseMatrix, SparseMatrix": function (e, t) { return u(e, t, i, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, i, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return s(e, t, i, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, i) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return c(e, t, i, !1) }, "DenseMatrix, any": function (e, t) { return p(e, t, i, !1) }, "any, SparseMatrix": function (e, t) { return f(t, e, i, !0) }, "any, DenseMatrix": function (e, t) { return p(t, e, i, !0) }, "Array, any": function (e, t) { return p(r(e), t, i, !1).valueOf() }, "any, Array": function (e, t) { return p(r(t), e, i, !0).valueOf() } }) })); function ma(e) { var t = e.DenseMatrix; return function (e, r, n) { var i = e.size(); if (2 !== i.length) throw new RangeError("Matrix must be two dimensional (size: " + ge(i) + ")"); var a = i[0]; if (a !== i[1]) throw new RangeError("Matrix must be square (size: " + ge(i) + ")"); var o = []; if (p(r)) { var s = r.size(), u = r._data; if (1 === s.length) { if (s[0] !== a) throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); for (var c = 0; c < a; c++)o[c] = [u[c]]; return new t({ data: o, size: [a, 1], datatype: r._datatype }) } if (2 === s.length) { if (s[0] !== a || 1 !== s[1]) throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); if (h(r)) { if (n) { o = []; for (var f = 0; f < a; f++)o[f] = [u[f][0]]; return new t({ data: o, size: [a, 1], datatype: r._datatype }) } return r } if (d(r)) { for (var m = 0; m < a; m++)o[m] = [0]; for (var y = r._values, g = r._index, v = r._ptr, x = v[1], b = v[0]; b < x; b++) { o[g[b]][0] = y[b] } return new t({ data: o, size: [a, 1], datatype: r._datatype }) } } throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector.") } if (l(r)) { var w = Me(r); if (1 === w.length) { if (w[0] !== a) throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); for (var N = 0; N < a; N++)o[N] = [r[N]]; return new t({ data: o, size: [a, 1] }) } if (2 === w.length) { if (w[0] !== a || 1 !== w[1]) throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); for (var M = 0; M < a; M++)o[M] = [r[M][0]]; return new t({ data: o, size: [a, 1] }) } throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector.") } } } var ha = Je("lsolve", ["typed", "matrix", "divideScalar", "multiplyScalar", "subtract", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.divideScalar, i = e.multiplyScalar, a = e.subtract, o = e.equalScalar, s = e.DenseMatrix, u = ma({ DenseMatrix: s }); return t("lsolve", { "SparseMatrix, Array | Matrix": function (e, t) { return function (e, t) { for (var r = (t = u(e, t, !0))._data, c = e._size[0], f = e._size[1], l = e._values, p = e._index, m = e._ptr, h = [], d = 0; d < f; d++) { var y = r[d][0] || 0; if (o(y, 0)) h[d] = [0]; else { for (var g = 0, v = [], x = [], b = m[d], w = m[d + 1], N = b; N < w; N++) { var M = p[N]; M === d ? g = l[N] : M > d && (v.push(l[N]), x.push(M)) } if (o(g, 0)) throw new Error("Linear system cannot be solved since matrix is singular"); for (var S = n(y, g), E = 0, A = x.length; E < A; E++) { var O = x[E]; r[O] = [a(r[O][0] || 0, i(S, v[E]))] } h[d] = [S] } } return new s({ data: h, size: [c, 1] }) }(e, t) }, "DenseMatrix, Array | Matrix": function (e, t) { return c(e, t) }, "Array, Array | Matrix": function (e, t) { return c(r(e), t).valueOf() } }); function c(e, t) { for (var r = (t = u(e, t, !0))._data, c = e._size[0], f = e._size[1], l = [], p = e._data, m = 0; m < f; m++) { var h = r[m][0] || 0, d = void 0; if (o(h, 0)) d = 0; else { var y = p[m][m]; if (o(y, 0)) throw new Error("Linear system cannot be solved since matrix is singular"); d = n(h, y); for (var g = m + 1; g < c; g++)r[g] = [a(r[g][0] || 0, i(d, p[g][m]))] } l[m] = [d] } return new s({ data: l, size: [c, 1] }) } })), da = Je("usolve", ["typed", "matrix", "divideScalar", "multiplyScalar", "subtract", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.divideScalar, i = e.multiplyScalar, a = e.subtract, o = e.equalScalar, s = e.DenseMatrix, u = ma({ DenseMatrix: s }); return t("usolve", { "SparseMatrix, Array | Matrix": function (e, t) { return function (e, t) { for (var r = (t = u(e, t, !0))._data, c = e._size[0], f = e._size[1], l = e._values, p = e._index, m = e._ptr, h = [], d = f - 1; d >= 0; d--) { var y = r[d][0] || 0; if (o(y, 0)) h[d] = [0]; else { for (var g = 0, v = [], x = [], b = m[d], w = m[d + 1] - 1; w >= b; w--) { var N = p[w]; N === d ? g = l[w] : N < d && (v.push(l[w]), x.push(N)) } if (o(g, 0)) throw new Error("Linear system cannot be solved since matrix is singular"); for (var M = n(y, g), S = 0, E = x.length; S < E; S++) { var A = x[S]; r[A] = [a(r[A][0], i(M, v[S]))] } h[d] = [M] } } return new s({ data: h, size: [c, 1] }) }(e, t) }, "DenseMatrix, Array | Matrix": function (e, t) { return c(e, t) }, "Array, Array | Matrix": function (e, t) { return c(r(e), t).valueOf() } }); function c(e, t) { for (var r = (t = u(e, t, !0))._data, c = e._size[0], f = e._size[1], l = [], p = e._data, m = f - 1; m >= 0; m--) { var h = r[m][0] || 0, d = void 0; if (o(h, 0)) d = 0; else { var y = p[m][m]; if (o(y, 0)) throw new Error("Linear system cannot be solved since matrix is singular"); d = n(h, y); for (var g = m - 1; g >= 0; g--)r[g] = [a(r[g][0] || 0, i(d, p[g][m]))] } l[m] = [d] } return new s({ data: l, size: [c, 1] }) } })); function ya(e) { return function (e) { if (Array.isArray(e)) return ga(e) }(e) || function (e) { if ("undefined" != typeof Symbol && Symbol.iterator in Object(e)) return Array.from(e) }(e) || function (e, t) { if (!e) return; if ("string" == typeof e) return ga(e, t); var r = Object.prototype.toString.call(e).slice(8, -1); "Object" === r && e.constructor && (r = e.constructor.name); if ("Map" === r || "Set" === r) return Array.from(e); if ("Arguments" === r || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)) return ga(e, t) }(e) || function () { throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.") }() } function ga(e, t) { (null == t || t > e.length) && (t = e.length); for (var r = 0, n = new Array(t); r < t; r++)n[r] = e[r]; return n } var va = Je("lsolveAll", ["typed", "matrix", "divideScalar", "multiplyScalar", "subtract", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.divideScalar, i = e.multiplyScalar, a = e.subtract, o = e.equalScalar, s = e.DenseMatrix, u = ma({ DenseMatrix: s }); return t("lsolveAll", { "SparseMatrix, Array | Matrix": function (e, t) { return function (e, t) { for (var r = [u(e, t, !0)._data.map((function (e) { return e[0] }))], c = e._size[0], f = e._size[1], l = e._values, p = e._index, m = e._ptr, h = 0; h < f; h++)for (var d = r.length, y = 0; y < d; y++) { for (var g = r[y], v = [], x = [], b = m[h], w = m[h + 1], N = 0, M = b; M < w; M++) { var S = p[M]; S === h ? N = l[M] : S > h && (v.push(l[M]), x.push(S)) } if (o(N, 0)) if (o(g[h], 0)) { if (0 === y) { var E = ya(g); E[h] = 1; for (var A = 0, O = x.length; A < O; A++) { var C = x[A]; E[C] = a(E[C], v[A]) } r.push(E) } } else { if (0 === y) return []; r.splice(y, 1), y -= 1, d -= 1 } else { g[h] = n(g[h], N); for (var _ = 0, T = x.length; _ < T; _++) { var q = x[_]; g[q] = a(g[q], i(g[h], v[_])) } } } return r.map((function (e) { return new s({ data: e.map((function (e) { return [e] })), size: [c, 1] }) })) }(e, t) }, "DenseMatrix, Array | Matrix": function (e, t) { return c(e, t) }, "Array, Array | Matrix": function (e, t) { return c(r(e), t).map((function (e) { return e.valueOf() })) } }); function c(e, t) { for (var r = [u(e, t, !0)._data.map((function (e) { return e[0] }))], c = e._data, f = e._size[0], l = e._size[1], p = 0; p < l; p++)for (var m = r.length, h = 0; h < m; h++) { var d = r[h]; if (o(c[p][p], 0)) if (o(d[p], 0)) { if (0 === h) { var y = ya(d); y[p] = 1; for (var g = p + 1; g < l; g++)y[g] = a(y[g], c[g][p]); r.push(y) } } else { if (0 === h) return []; r.splice(h, 1), h -= 1, m -= 1 } else { d[p] = n(d[p], c[p][p]); for (var v = p + 1; v < l; v++)d[v] = a(d[v], i(d[p], c[v][p])) } } return r.map((function (e) { return new s({ data: e.map((function (e) { return [e] })), size: [f, 1] }) })) } })); function xa(e) { return function (e) { if (Array.isArray(e)) return ba(e) }(e) || function (e) { if ("undefined" != typeof Symbol && Symbol.iterator in Object(e)) return Array.from(e) }(e) || function (e, t) { if (!e) return; if ("string" == typeof e) return ba(e, t); var r = Object.prototype.toString.call(e).slice(8, -1); "Object" === r && e.constructor && (r = e.constructor.name); if ("Map" === r || "Set" === r) return Array.from(e); if ("Arguments" === r || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)) return ba(e, t) }(e) || function () { throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.") }() } function ba(e, t) { (null == t || t > e.length) && (t = e.length); for (var r = 0, n = new Array(t); r < t; r++)n[r] = e[r]; return n } var wa = Je("usolveAll", ["typed", "matrix", "divideScalar", "multiplyScalar", "subtract", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.divideScalar, i = e.multiplyScalar, a = e.subtract, o = e.equalScalar, s = e.DenseMatrix, u = ma({ DenseMatrix: s }); return t("usolveAll", { "SparseMatrix, Array | Matrix": function (e, t) { return function (e, t) { for (var r = [u(e, t, !0)._data.map((function (e) { return e[0] }))], c = e._size[0], f = e._size[1], l = e._values, p = e._index, m = e._ptr, h = f - 1; h >= 0; h--)for (var d = r.length, y = 0; y < d; y++) { for (var g = r[y], v = [], x = [], b = m[h], w = m[h + 1], N = 0, M = w - 1; M >= b; M--) { var S = p[M]; S === h ? N = l[M] : S < h && (v.push(l[M]), x.push(S)) } if (o(N, 0)) if (o(g[h], 0)) { if (0 === y) { var E = xa(g); E[h] = 1; for (var A = 0, O = x.length; A < O; A++) { var C = x[A]; E[C] = a(E[C], v[A]) } r.push(E) } } else { if (0 === y) return []; r.splice(y, 1), y -= 1, d -= 1 } else { g[h] = n(g[h], N); for (var _ = 0, T = x.length; _ < T; _++) { var q = x[_]; g[q] = a(g[q], i(g[h], v[_])) } } } return r.map((function (e) { return new s({ data: e.map((function (e) { return [e] })), size: [c, 1] }) })) }(e, t) }, "DenseMatrix, Array | Matrix": function (e, t) { return c(e, t) }, "Array, Array | Matrix": function (e, t) { return c(r(e), t).map((function (e) { return e.valueOf() })) } }); function c(e, t) { for (var r = [u(e, t, !0)._data.map((function (e) { return e[0] }))], c = e._data, f = e._size[0], l = e._size[1] - 1; l >= 0; l--)for (var p = r.length, m = 0; m < p; m++) { var h = r[m]; if (o(c[l][l], 0)) if (o(h[l], 0)) { if (0 === m) { var d = xa(h); d[l] = 1; for (var y = l - 1; y >= 0; y--)d[y] = a(d[y], c[y][l]); r.push(d) } } else { if (0 === m) return []; r.splice(m, 1), m -= 1, p -= 1 } else { h[l] = n(h[l], c[l][l]); for (var g = l - 1; g >= 0; g--)h[g] = a(h[g], i(h[l], c[g][l])) } } return r.map((function (e) { return new s({ data: e.map((function (e) { return [e] })), size: [f, 1] }) })) } })), Na = Je("algorithm08", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return function (e, n, i) { var a = e._values, o = e._index, s = e._ptr, u = e._size, c = e._datatype, f = n._values, l = n._index, p = n._ptr, m = n._size, h = n._datatype; if (u.length !== m.length) throw new we(u.length, m.length); if (u[0] !== m[0] || u[1] !== m[1]) throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + m + ")"); if (!a || !f) throw new Error("Cannot perform operation on Pattern Sparse Matrices"); var d, y = u[0], g = u[1], v = r, x = 0, b = i; "string" == typeof c && c === h && (d = c, v = t.find(r, [d, d]), x = t.convert(0, d), b = t.find(i, [d, d])); for (var w, N, M, S, E = [], A = [], O = [], C = [], _ = [], T = 0; T < g; T++) { O[T] = A.length; var q = T + 1; for (N = s[T], M = s[T + 1], w = N; w < M; w++)_[S = o[w]] = q, C[S] = a[w], A.push(S); for (N = p[T], M = p[T + 1], w = N; w < M; w++)_[S = l[w]] === q && (C[S] = b(C[S], f[w])); for (w = O[T]; w < A.length;) { var z = C[S = A[w]]; v(z, x) ? A.splice(w, 1) : (E.push(z), w++) } } return O[g] = A.length, e.createSparseMatrix({ values: E, index: A, ptr: O, size: [y, g], datatype: d }) } })), Ma = Je("leftShift", ["typed", "matrix", "equalScalar", "zeros", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.zeros, a = e.DenseMatrix, o = Br({ typed: t }), s = Ur({ typed: t, equalScalar: n }), u = Na({ typed: t, equalScalar: n }), c = Rr({ typed: t, DenseMatrix: a }), f = Mr({ typed: t, equalScalar: n }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("leftShift", { "number, number": bn, "BigNumber, BigNumber": mn, "SparseMatrix, SparseMatrix": function (e, t) { return u(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return s(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : f(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : p(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : c(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : p(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return this(r(e), t).valueOf() }, "number | BigNumber, Array": function (e, t) { return this(e, r(t)).valueOf() } }) })), Sa = Je("rightArithShift", ["typed", "matrix", "equalScalar", "zeros", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.zeros, a = e.DenseMatrix, o = Br({ typed: t }), s = Ur({ typed: t, equalScalar: n }), u = Na({ typed: t, equalScalar: n }), c = Rr({ typed: t, DenseMatrix: a }), f = Mr({ typed: t, equalScalar: n }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("rightArithShift", { "number, number": wn, "BigNumber, BigNumber": hn, "SparseMatrix, SparseMatrix": function (e, t) { return u(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return s(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : f(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : p(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : c(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : p(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return this(r(e), t).valueOf() }, "number | BigNumber, Array": function (e, t) { return this(e, r(t)).valueOf() } }) })), Ea = Je("rightLogShift", ["typed", "matrix", "equalScalar", "zeros", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.zeros, a = e.DenseMatrix, o = Br({ typed: t }), s = Ur({ typed: t, equalScalar: n }), u = Na({ typed: t, equalScalar: n }), c = Rr({ typed: t, DenseMatrix: a }), f = Mr({ typed: t, equalScalar: n }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("rightLogShift", { "number, number": Nn, "SparseMatrix, SparseMatrix": function (e, t) { return u(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return s(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : f(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return n(t, 0) ? e.clone() : p(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : c(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return n(e, 0) ? i(t.size(), t.storage()) : p(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return this(r(e), t).valueOf() }, "number | BigNumber, Array": function (e, t) { return this(e, r(t)).valueOf() } }) })), Aa = Je("and", ["typed", "matrix", "equalScalar", "zeros", "not"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.zeros, a = e.not, o = Ur({ typed: t, equalScalar: n }), s = Fr({ typed: t, equalScalar: n }), u = Mr({ typed: t, equalScalar: n }), c = jr({ typed: t }), f = Sr({ typed: t }); return t("and", { "number, number": Bn, "Complex, Complex": function (e, t) { return !(0 === e.re && 0 === e.im || 0 === t.re && 0 === t.im) }, "BigNumber, BigNumber": function (e, t) { return !(e.isZero() || t.isZero() || e.isNaN() || t.isNaN()) }, "Unit, Unit": function (e, t) { return this(e.value || 0, t.value || 0) }, "SparseMatrix, SparseMatrix": function (e, t) { return s(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return c(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return a(t) ? i(e.size(), e.storage()) : u(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return a(t) ? i(e.size(), e.storage()) : f(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return a(e) ? i(e.size(), e.storage()) : u(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return a(e) ? i(e.size(), e.storage()) : f(t, e, this, !0) }, "Array, any": function (e, t) { return this(r(e), t).valueOf() }, "any, Array": function (e, t) { return this(e, r(t)).valueOf() } }) })), Oa = Je("compare", ["typed", "config", "matrix", "equalScalar", "BigNumber", "Fraction", "DenseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.equalScalar, i = e.matrix, a = e.BigNumber, o = e.Fraction, s = e.DenseMatrix, u = Gr({ typed: t }), c = Vr({ typed: t, equalScalar: n }), f = Zr({ typed: t, DenseMatrix: s }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("compare", { "boolean, boolean": function (e, t) { return e === t ? 0 : e > t ? 1 : -1 }, "number, number": function (e, t) { return oe(e, t, r.epsilon) ? 0 : e > t ? 1 : -1 }, "BigNumber, BigNumber": function (e, t) { return Dt(e, t, r.epsilon) ? new a(0) : new a(e.cmp(t)) }, "Fraction, Fraction": function (e, t) { return new o(e.compare(t)) }, "Complex, Complex": function () { throw new TypeError("No ordering relation is defined for complex numbers") }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) }, "SparseMatrix, SparseMatrix": function (e, t) { return c(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return u(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return u(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, this) }, "Array, Array": function (e, t) { return this(i(e), i(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(i(e), t) }, "Matrix, Array": function (e, t) { return this(e, i(t)) }, "SparseMatrix, any": function (e, t) { return f(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return p(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return f(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return p(t, e, this, !0) }, "Array, any": function (e, t) { return p(i(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return p(i(t), e, this, !0).valueOf() } }) })), Ca = r(4), _a = r.n(Ca), Ta = Je("compareNatural", ["typed", "compare"], (function (e) { var t = e.typed, r = e.compare, n = r.signatures["boolean,boolean"]; return t("compareNatural", { "any, any": function (e, t) { var a, o = H(e), s = H(t); if (!("number" !== o && "BigNumber" !== o && "Fraction" !== o || "number" !== s && "BigNumber" !== s && "Fraction" !== s)) return "0" !== (a = r(e, t)).toString() ? a > 0 ? 1 : -1 : _a()(o, s); if ("Array" === o || "Matrix" === o || "Array" === s || "Matrix" === s) return 0 !== (a = function e(t, r, n) { if (d(r) && d(n)) return i(t, r.toJSON().values, n.toJSON().values); if (d(r)) return e(t, r.toArray(), n); if (d(n)) return e(t, r, n.toArray()); if (h(r)) return e(t, r.toJSON().data, n); if (h(n)) return e(t, r, n.toJSON().data); if (!Array.isArray(r)) return e(t, [r], n); if (!Array.isArray(n)) return e(t, r, [n]); return i(t, r, n) }(this, e, t)) ? a : _a()(o, s); if (o !== s) return _a()(o, s); if ("Complex" === o) return function (e, t) { if (e.re > t.re) return 1; if (e.re < t.re) return -1; if (e.im > t.im) return 1; if (e.im < t.im) return -1; return 0 }(e, t); if ("Unit" === o) return e.equalBase(t) ? this(e.value, t.value) : i(this, e.formatUnits(), t.formatUnits()); if ("boolean" === o) return n(e, t); if ("string" === o) return _a()(e, t); if ("Object" === o) return function (e, t, r) { var n = Object.keys(t), a = Object.keys(r); n.sort(_a.a), a.sort(_a.a); var o = i(e, n, a); if (0 !== o) return o; for (var s = 0; s < n.length; s++) { var u = e(t[n[s]], r[a[s]]); if (0 !== u) return u } return 0 }(this, e, t); if ("null" === o) return 0; if ("undefined" === o) return 0; throw new TypeError('Unsupported type of value "' + o + '"') } }); function i(e, t, r) { for (var n = 0, i = Math.min(t.length, r.length); n < i; n++) { var a = e(t[n], r[n]); if (0 !== a) return a } return t.length > r.length ? 1 : t.length < r.length ? -1 : 0 } })); var qa = Je("compareText", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix, n = jr({ typed: t }), i = Sr({ typed: t }); return t("compareText", { "any, any": be, "DenseMatrix, DenseMatrix": function (e, t) { return n(e, t, be) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "DenseMatrix, any": function (e, t) { return i(e, t, be, !1) }, "any, DenseMatrix": function (e, t) { return i(t, e, be, !0) }, "Array, any": function (e, t) { return i(r(e), t, be, !1).valueOf() }, "any, Array": function (e, t) { return i(r(t), e, be, !0).valueOf() } }) })), za = Je("equal", ["typed", "matrix", "equalScalar", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("equal", { "any, any": function (e, t) { return null === e ? null === t : null === t ? null === e : void 0 === e ? void 0 === t : void 0 === t ? void 0 === e : n(e, t) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, n) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, n, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, n, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, n) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, n, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, n, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, n, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, n, !0) }, "Array, any": function (e, t) { return c(r(e), t, n, !1).valueOf() }, "any, Array": function (e, t) { return c(r(t), e, n, !0).valueOf() } }) })), ka = (Je("equal", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return t("equal", { "any, any": function (e, t) { return null === e ? null === t : null === t ? null === e : void 0 === e ? void 0 === t : void 0 === t ? void 0 === e : r(e, t) } }) })), Je("equalText", ["typed", "compareText", "isZero"], (function (e) { var t = e.typed, r = e.compareText, n = e.isZero; return t("equalText", { "any, any": function (e, t) { return n(r(e, t)) } }) }))), Ia = Je("smaller", ["typed", "config", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("smaller", { "boolean, boolean": function (e, t) { return e < t }, "number, number": function (e, t) { return e < t && !oe(e, t, r.epsilon) }, "BigNumber, BigNumber": function (e, t) { return e.lt(t) && !Dt(e, t, r.epsilon) }, "Fraction, Fraction": function (e, t) { return -1 === e.compare(t) }, "Complex, Complex": function (e, t) { throw new TypeError("No ordering relation is defined for complex numbers") }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(n(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(n(t), e, this, !0).valueOf() } }) })), Ba = Je("smallerEq", ["typed", "config", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("smallerEq", { "boolean, boolean": function (e, t) { return e <= t }, "number, number": function (e, t) { return e <= t || oe(e, t, r.epsilon) }, "BigNumber, BigNumber": function (e, t) { return e.lte(t) || Dt(e, t, r.epsilon) }, "Fraction, Fraction": function (e, t) { return 1 !== e.compare(t) }, "Complex, Complex": function () { throw new TypeError("No ordering relation is defined for complex numbers") }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(n(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(n(t), e, this, !0).valueOf() } }) })), Da = Je("larger", ["typed", "config", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("larger", { "boolean, boolean": function (e, t) { return e > t }, "number, number": function (e, t) { return e > t && !oe(e, t, r.epsilon) }, "BigNumber, BigNumber": function (e, t) { return e.gt(t) && !Dt(e, t, r.epsilon) }, "Fraction, Fraction": function (e, t) { return 1 === e.compare(t) }, "Complex, Complex": function () { throw new TypeError("No ordering relation is defined for complex numbers") }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(n(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(n(t), e, this, !0).valueOf() } }) })), Ra = Je("largerEq", ["typed", "config", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("largerEq", { "boolean, boolean": function (e, t) { return e >= t }, "number, number": function (e, t) { return e >= t || oe(e, t, r.epsilon) }, "BigNumber, BigNumber": function (e, t) { return e.gte(t) || Dt(e, t, r.epsilon) }, "Fraction, Fraction": function (e, t) { return -1 !== e.compare(t) }, "Complex, Complex": function () { throw new TypeError("No ordering relation is defined for complex numbers") }, "Unit, Unit": function (e, t) { if (!e.equalBase(t)) throw new Error("Cannot compare units with different base"); return this(e.value, t.value) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, this) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, this) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, this, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, this, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, this, !0) }, "Array, any": function (e, t) { return c(n(e), t, this, !1).valueOf() }, "any, Array": function (e, t) { return c(n(t), e, this, !0).valueOf() } }) })), ja = Je("deepEqual", ["typed", "equal"], (function (e) { var t = e.typed, r = e.equal; return t("deepEqual", { "any, any": function (e, t) { return function e(t, n) { if (Array.isArray(t)) { if (Array.isArray(n)) { var i = t.length; if (i !== n.length) return !1; for (var a = 0; a < i; a++)if (!e(t[a], n[a])) return !1; return !0 } return !1 } return !Array.isArray(n) && r(t, n) }(e.valueOf(), t.valueOf()) } }) })), Pa = Je("unequal", ["typed", "config", "equalScalar", "matrix", "DenseMatrix"], (function (e) { var t = e.typed, r = (e.config, e.equalScalar), n = e.matrix, i = e.DenseMatrix, a = Gr({ typed: t }), o = An({ typed: t, DenseMatrix: i }), s = Zr({ typed: t, DenseMatrix: i }), u = jr({ typed: t }), c = Sr({ typed: t }); return t("unequal", { "any, any": function (e, t) { return null === e ? null !== t : null === t ? null !== e : void 0 === e ? void 0 !== t : void 0 === t ? void 0 !== e : f(e, t) }, "SparseMatrix, SparseMatrix": function (e, t) { return o(e, t, f) }, "SparseMatrix, DenseMatrix": function (e, t) { return a(t, e, f, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return a(e, t, f, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return u(e, t, f) }, "Array, Array": function (e, t) { return this(n(e), n(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(n(e), t) }, "Matrix, Array": function (e, t) { return this(e, n(t)) }, "SparseMatrix, any": function (e, t) { return s(e, t, f, !1) }, "DenseMatrix, any": function (e, t) { return c(e, t, f, !1) }, "any, SparseMatrix": function (e, t) { return s(t, e, f, !0) }, "any, DenseMatrix": function (e, t) { return c(t, e, f, !0) }, "Array, any": function (e, t) { return c(n(e), t, f, !1).valueOf() }, "any, Array": function (e, t) { return c(n(t), e, f, !0).valueOf() } }); function f(e, t) { return !r(e, t) } })), Ua = (Je("unequal", ["typed", "equalScalar"], (function (e) { var t = e.typed, r = e.equalScalar; return t("unequal", { "any, any": function (e, t) { return null === e ? null !== t : null === t ? null !== e : void 0 === e ? void 0 !== t : void 0 === t ? void 0 !== e : !r(e, t) } }) })), Je("partitionSelect", ["typed", "isNumeric", "isNaN", "compare"], (function (e) { var t = e.typed, r = e.isNumeric, n = e.isNaN, i = e.compare, a = i, o = function (e, t) { return -i(e, t) }; return t("partitionSelect", { "Array | Matrix, number": function (e, t) { return s(e, t, a) }, "Array | Matrix, number, string": function (e, t, r) { if ("asc" === r) return s(e, t, a); if ("desc" === r) return s(e, t, o); throw new Error('Compare string must be "asc" or "desc"') }, "Array | Matrix, number, function": s }); function s(e, t, r) { if (!V(t) || t < 0) throw new Error("k must be a non-negative integer"); if (p(e)) { if (e.size().length > 1) throw new Error("Only one dimensional matrices supported"); return u(e.valueOf(), t, r) } if (Array.isArray(e)) return u(e, t, r) } function u(e, t, i) { if (t >= e.length) throw new Error("k out of bounds"); for (var a = 0; a < e.length; a++)if (r(e[a]) && n(e[a])) return e[a]; for (var o = 0, s = e.length - 1; o < s;) { for (var u = o, c = s, f = e[Math.floor(Math.random() * (s - o + 1)) + o]; u < c;)if (i(e[u], f) >= 0) { var l = e[c]; e[c] = e[u], e[u] = l, --c } else ++u; i(e[u], f) > 0 && --u, t <= u ? s = u : o = u + 1 } return e[t] } }))), Fa = Je("sort", ["typed", "matrix", "compare", "compareNatural"], (function (e) { var t = e.typed, r = e.matrix, n = e.compare, i = e.compareNatural, a = n, o = function (e, t) { return -n(e, t) }; return t("sort", { Array: function (e) { return u(e), e.sort(a) }, Matrix: function (e) { return c(e), r(e.toArray().sort(a), e.storage()) }, "Array, function": function (e, t) { return u(e), e.sort(t) }, "Matrix, function": function (e, t) { return c(e), r(e.toArray().sort(t), e.storage()) }, "Array, string": function (e, t) { return u(e), e.sort(s(t)) }, "Matrix, string": function (e, t) { return c(e), r(e.toArray().sort(s(t)), e.storage()) } }); function s(e) { if ("asc" === e) return a; if ("desc" === e) return o; if ("natural" === e) return i; throw new Error('String "asc", "desc", or "natural" expected') } function u(e) { if (1 !== Me(e).length) throw new Error("One dimensional array expected") } function c(e) { if (1 !== e.size().length) throw new Error("One dimensional matrix expected") } })), La = Je("max", ["typed", "config", "numeric", "larger"], (function (e) { var t = e.typed, r = e.config, n = e.numeric, i = e.larger; return t("max", { "Array | Matrix": o, "Array | Matrix, number | BigNumber": function (e, t) { return wt(e, t.valueOf(), a) }, "...": function (e) { if (vt(e)) throw new TypeError("Scalar values expected in function max"); return o(e) } }); function a(e, t) { try { return i(e, t) ? e : t } catch (e) { throw Ui(e, "max", t) } } function o(e) { var t; if (xt(e, (function (e) { try { isNaN(e) && "number" == typeof e ? t = NaN : (void 0 === t || i(e, t)) && (t = e) } catch (t) { throw Ui(t, "max", e) } })), void 0 === t) throw new Error("Cannot calculate max of an empty array"); return "string" == typeof t && (t = n(t, r.number)), t } })), Ha = Je("min", ["typed", "config", "numeric", "smaller"], (function (e) { var t = e.typed, r = e.config, n = e.numeric, i = e.smaller; return t("min", { "Array | Matrix": o, "Array | Matrix, number | BigNumber": function (e, t) { return wt(e, t.valueOf(), a) }, "...": function (e) { if (vt(e)) throw new TypeError("Scalar values expected in function min"); return o(e) } }); function a(e, t) { try { return i(e, t) ? e : t } catch (e) { throw Ui(e, "min", t) } } function o(e) { var t; if (xt(e, (function (e) { try { isNaN(e) && "number" == typeof e ? t = NaN : (void 0 === t || i(e, t)) && (t = e) } catch (t) { throw Ui(t, "min", e) } })), void 0 === t) throw new Error("Cannot calculate min of an empty array"); return "string" == typeof t && (t = n(t, r.number)), t } })), $a = Je("ImmutableDenseMatrix", ["smaller", "DenseMatrix"], (function (e) { var t = e.smaller, r = e.DenseMatrix; function n(e, t) { if (!(this instanceof n)) throw new SyntaxError("Constructor must be called with the new operator"); if (t && !f(t)) throw new Error("Invalid datatype: " + t); if (p(e) || l(e)) { var i = new r(e, t); this._data = i._data, this._size = i._size, this._datatype = i._datatype, this._min = null, this._max = null } else if (e && l(e.data) && l(e.size)) this._data = e.data, this._size = e.size, this._datatype = e.datatype, this._min = void 0 !== e.min ? e.min : null, this._max = void 0 !== e.max ? e.max : null; else { if (e) throw new TypeError("Unsupported type of data (" + H(e) + ")"); this._data = [], this._size = [0], this._datatype = t, this._min = null, this._max = null } } return n.prototype = new r, n.prototype.type = "ImmutableDenseMatrix", n.prototype.isImmutableDenseMatrix = !0, n.prototype.subset = function (e) { switch (arguments.length) { case 1: var t = r.prototype.subset.call(this, e); return p(t) ? new n({ data: t._data, size: t._size, datatype: t._datatype }) : t; case 2: case 3: throw new Error("Cannot invoke set subset on an Immutable Matrix instance"); default: throw new SyntaxError("Wrong number of arguments") } }, n.prototype.set = function () { throw new Error("Cannot invoke set on an Immutable Matrix instance") }, n.prototype.resize = function () { throw new Error("Cannot invoke resize on an Immutable Matrix instance") }, n.prototype.reshape = function () { throw new Error("Cannot invoke reshape on an Immutable Matrix instance") }, n.prototype.clone = function () { return new n({ data: Fe(this._data), size: Fe(this._size), datatype: this._datatype }) }, n.prototype.toJSON = function () { return { mathjs: "ImmutableDenseMatrix", data: this._data, size: this._size, datatype: this._datatype } }, n.fromJSON = function (e) { return new n(e) }, n.prototype.swapRows = function () { throw new Error("Cannot invoke swapRows on an Immutable Matrix instance") }, n.prototype.min = function () { if (null === this._min) { var e = null; this.forEach((function (r) { (null === e || t(r, e)) && (e = r) })), this._min = null !== e ? e : void 0 } return this._min }, n.prototype.max = function () { if (null === this._max) { var e = null; this.forEach((function (r) { (null === e || t(e, r)) && (e = r) })), this._max = null !== e ? e : void 0 } return this._max }, n }), { isClass: !0 }), Ga = Je("Index", ["ImmutableDenseMatrix"], (function (e) { var t = e.ImmutableDenseMatrix; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); this._dimensions = [], this._isScalar = !0; for (var t = 0, i = arguments.length; t < i; t++) { var a = arguments[t]; if (y(a)) this._dimensions.push(a), this._isScalar = !1; else if (Array.isArray(a) || p(a)) { var o = n(a.valueOf()); this._dimensions.push(o); var s = o.size(); 1 === s.length && 1 === s[0] || (this._isScalar = !1) } else if ("number" == typeof a) this._dimensions.push(n([a])); else { if ("string" != typeof a) throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range"); this._dimensions.push(a) } } } function n(e) { for (var r = 0, n = e.length; r < n; r++)if ("number" != typeof e[r] || !V(e[r])) throw new TypeError("Index parameters must be positive integer numbers"); return new t(e) } return r.prototype.type = "Index", r.prototype.isIndex = !0, r.prototype.clone = function () { var e = new r; return e._dimensions = Fe(this._dimensions), e._isScalar = this._isScalar, e }, r.create = function (e) { var t = new r; return r.apply(t, e), t }, r.prototype.size = function () { for (var e = [], t = 0, r = this._dimensions.length; t < r; t++) { var n = this._dimensions[t]; e[t] = "string" == typeof n ? 1 : n.size()[0] } return e }, r.prototype.max = function () { for (var e = [], t = 0, r = this._dimensions.length; t < r; t++) { var n = this._dimensions[t]; e[t] = "string" == typeof n ? n : n.max() } return e }, r.prototype.min = function () { for (var e = [], t = 0, r = this._dimensions.length; t < r; t++) { var n = this._dimensions[t]; e[t] = "string" == typeof n ? n : n.min() } return e }, r.prototype.forEach = function (e) { for (var t = 0, r = this._dimensions.length; t < r; t++)e(this._dimensions[t], t, this) }, r.prototype.dimension = function (e) { return this._dimensions[e] || null }, r.prototype.isObjectProperty = function () { return 1 === this._dimensions.length && "string" == typeof this._dimensions[0] }, r.prototype.getObjectProperty = function () { return this.isObjectProperty() ? this._dimensions[0] : null }, r.prototype.isScalar = function () { return this._isScalar }, r.prototype.toArray = function () { for (var e = [], t = 0, r = this._dimensions.length; t < r; t++) { var n = this._dimensions[t]; e.push("string" == typeof n ? n : n.toArray()) } return e }, r.prototype.valueOf = r.prototype.toArray, r.prototype.toString = function () { for (var e = [], t = 0, r = this._dimensions.length; t < r; t++) { var n = this._dimensions[t]; "string" == typeof n ? e.push(JSON.stringify(n)) : e.push(n.toString()) } return "[" + e.join(", ") + "]" }, r.prototype.toJSON = function () { return { mathjs: "Index", dimensions: this._dimensions } }, r.fromJSON = function (e) { return r.create(e.dimensions) }, r }), { isClass: !0 }), Va = Je("FibonacciHeap", ["smaller", "larger"], (function (e) { var t = e.smaller, r = e.larger, n = 1 / Math.log((1 + Math.sqrt(5)) / 2); function i() { if (!(this instanceof i)) throw new SyntaxError("Constructor must be called with the new operator"); this._minimum = null, this._size = 0 } function a(e, t, r) { t.left.right = t.right, t.right.left = t.left, r.degree--, r.child === t && (r.child = t.right), 0 === r.degree && (r.child = null), t.left = e, t.right = e.right, e.right = t, t.right.left = t, t.parent = null, t.mark = !1 } i.prototype.type = "FibonacciHeap", i.prototype.isFibonacciHeap = !0, i.prototype.insert = function (e, r) { var n = { key: e, value: r, degree: 0 }; if (this._minimum) { var i = this._minimum; n.left = i, n.right = i.right, i.right = n, n.right.left = n, t(e, i.key) && (this._minimum = n) } else n.left = n, n.right = n, this._minimum = n; return this._size++, n }, i.prototype.size = function () { return this._size }, i.prototype.clear = function () { this._minimum = null, this._size = 0 }, i.prototype.isEmpty = function () { return 0 === this._size }, i.prototype.extractMinimum = function () { var e = this._minimum; if (null === e) return e; for (var i = this._minimum, a = e.degree, s = e.child; a > 0;) { var u = s.right; s.left.right = s.right, s.right.left = s.left, s.left = i, s.right = i.right, i.right = s, s.right.left = s, s.parent = null, s = u, a-- } return e.left.right = e.right, e.right.left = e.left, i = e === e.right ? null : function (e, i) { var a, s = Math.floor(Math.log(i) * n) + 1, u = new Array(s), c = 0, f = e; if (f) for (c++, f = f.right; f !== e;)c++, f = f.right; for (; c > 0;) { for (var l = f.degree, p = f.right; a = u[l];) { if (r(f.key, a.key)) { var m = a; a = f, f = m } o(a, f), u[l] = null, l++ } u[l] = f, f = p, c-- } e = null; for (var h = 0; h < s; h++)(a = u[h]) && (e ? (a.left.right = a.right, a.right.left = a.left, a.left = e, a.right = e.right, e.right = a, a.right.left = a, t(a.key, e.key) && (e = a)) : e = a); return e }(i = e.right, this._size), this._size--, this._minimum = i, e }, i.prototype.remove = function (e) { this._minimum = function (e, r, n) { r.key = n; var i = r.parent; i && t(r.key, i.key) && (a(e, r, i), function e(t, r) { var n = r.parent; if (!n) return; r.mark ? (a(t, r, n), e(n)) : r.mark = !0 }(e, i)); t(r.key, e.key) && (e = r); return e }(this._minimum, e, -1), this.extractMinimum() }; var o = function (e, t) { e.left.right = e.right, e.right.left = e.left, e.parent = t, t.child ? (e.left = t.child, e.right = t.child.right, t.child.right = e, e.right.left = e) : (t.child = e, e.right = e, e.left = e), t.degree++, e.mark = !1 }; return i }), { isClass: !0 }), Za = Je("Spa", ["addScalar", "equalScalar", "FibonacciHeap"], (function (e) { var t = e.addScalar, r = e.equalScalar, n = e.FibonacciHeap; function i() { if (!(this instanceof i)) throw new SyntaxError("Constructor must be called with the new operator"); this._values = [], this._heap = new n } return i.prototype.type = "Spa", i.prototype.isSpa = !0, i.prototype.set = function (e, t) { if (this._values[e]) this._values[e].value = t; else { var r = this._heap.insert(e, t); this._values[e] = r } }, i.prototype.get = function (e) { var t = this._values[e]; return t ? t.value : 0 }, i.prototype.accumulate = function (e, r) { var n = this._values[e]; n ? n.value = t(n.value, r) : (n = this._heap.insert(e, r), this._values[e] = n) }, i.prototype.forEach = function (e, t, n) { var i = this._heap, a = this._values, o = [], s = i.extractMinimum(); for (s && o.push(s); s && s.key <= t;)s.key >= e && (r(s.value, 0) || n(s.key, s.value, this)), (s = i.extractMinimum()) && o.push(s); for (var u = 0; u < o.length; u++) { var c = o[u]; a[(s = i.insert(c.key, c.value)).key] = s } }, i.prototype.swap = function (e, t) { var r = this._values[e], n = this._values[t]; if (!r && n) r = this._heap.insert(e, n.value), this._heap.remove(n), this._values[e] = r, this._values[t] = void 0; else if (r && !n) n = this._heap.insert(t, r.value), this._heap.remove(r), this._values[t] = n, this._values[e] = void 0; else if (r && n) { var i = r.value; r.value = n.value, n.value = i } }, i }), { isClass: !0 }), Wa = Gn((function (e) { return new e(1).exp() }), Qa), Ja = Gn((function (e) { return new e(1).plus(new e(5).sqrt()).div(2) }), Qa), Ya = Gn((function (e) { return e.acos(-1) }), Qa), Xa = Gn((function (e) { return Ya(e).times(2) }), Qa); function Qa(e) { return e[0].precision } function Ka(e) { return (Ka = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } function eo() { return (eo = Object.assign || function (e) { for (var t = 1; t < arguments.length; t++) { var r = arguments[t]; for (var n in r) Object.prototype.hasOwnProperty.call(r, n) && (e[n] = r[n]) } return e }).apply(this, arguments) } function to(e, t) { var r = Object.keys(e); if (Object.getOwnPropertySymbols) { var n = Object.getOwnPropertySymbols(e); t && (n = n.filter((function (t) { return Object.getOwnPropertyDescriptor(e, t).enumerable }))), r.push.apply(r, n) } return r } function ro(e) { for (var t = 1; t < arguments.length; t++) { var r = null != arguments[t] ? arguments[t] : {}; t % 2 ? to(Object(r), !0).forEach((function (t) { no(e, t, r[t]) })) : Object.getOwnPropertyDescriptors ? Object.defineProperties(e, Object.getOwnPropertyDescriptors(r)) : to(Object(r)).forEach((function (t) { Object.defineProperty(e, t, Object.getOwnPropertyDescriptor(r, t)) })) } return e } function no(e, t, r) { return t in e ? Object.defineProperty(e, t, { value: r, enumerable: !0, configurable: !0, writable: !0 }) : e[t] = r, e } var io = Je("Unit", ["?on", "config", "addScalar", "subtract", "multiplyScalar", "divideScalar", "pow", "abs", "fix", "round", "equal", "isNumeric", "format", "number", "Complex", "BigNumber", "Fraction"], (function (e) { var t, r, n, i = e.on, a = e.config, o = e.addScalar, u = e.subtract, f = e.multiplyScalar, l = e.divideScalar, p = e.pow, m = e.abs, h = e.fix, d = e.round, y = e.equal, g = e.isNumeric, v = e.format, x = e.number, b = e.Complex, w = e.BigNumber, N = e.Fraction, M = x; function S(e, t) { if (!(this instanceof S)) throw new Error("Constructor must be called with the new operator"); if (null != e && !g(e) && !s(e)) throw new TypeError("First parameter in Unit constructor must be number, BigNumber, Fraction, Complex, or undefined"); if (void 0 !== t && ("string" != typeof t || "" === t)) throw new TypeError("Second parameter in Unit constructor must be a string"); if (void 0 !== t) { var r = S.parse(t); this.units = r.units, this.dimensions = r.dimensions } else { this.units = [{ unit: j, prefix: I.NONE, power: 0 }], this.dimensions = []; for (var n = 0; n < B.length; n++)this.dimensions[n] = 0 } this.value = null != e ? this._normalize(e) : null, this.fixPrefix = !1, this.skipAutomaticSimplification = !0 } function E() { for (; " " === n || "\t" === n;)O() } function A(e) { return e >= "0" && e <= "9" } function O() { r++, n = t.charAt(r) } function C(e) { r = e, n = t.charAt(r) } function _() { var e = "", t = r; if ("+" === n ? O() : "-" === n && (e += n, O()), !function (e) { return e >= "0" && e <= "9" || "." === e }(n)) return C(t), null; if ("." === n) { if (e += n, O(), !A(n)) return C(t), null } else { for (; A(n);)e += n, O(); "." === n && (e += n, O()) } for (; A(n);)e += n, O(); if ("E" === n || "e" === n) { var i = "", a = r; if (i += n, O(), "+" !== n && "-" !== n || (i += n, O()), !A(n)) return C(a), e; for (e += i; A(n);)e += n, O() } return e } function T() { for (var e = ""; A(n) || S.isValidAlpha(n);)e += n, O(); var t = e.charAt(0); return S.isValidAlpha(t) ? e : null } function q(e) { return n === e ? (O(), e) : null } function z(e) { if (Ze(P, e)) { var t = P[e]; return { unit: t, prefix: t.prefixes[""] } } for (var r in P) if (Ze(P, r) && ye(e, r)) { var n = P[r], i = e.length - r.length, a = e.substring(0, i), o = Ze(n.prefixes, a) ? n.prefixes[a] : void 0; if (void 0 !== o) return { unit: n, prefix: o } } return null } function k(e) { return e.equalBase(D.NONE) && null !== e.value && !a.predictable ? e.value : e } S.prototype.type = "Unit", S.prototype.isUnit = !0, S.parse = function (e, i) { if (i = i || {}, r = -1, n = "", "string" != typeof (t = e)) throw new TypeError("Invalid argument in Unit.parse, string expected"); var o = new S; o.units = []; var s = 1, u = !1; O(), E(); var c = _(), f = null; if (c) { if ("BigNumber" === a.number) f = new w(c); else if ("Fraction" === a.number) try { f = new N(c) } catch (e) { f = parseFloat(c) } else f = parseFloat(c); E(), q("*") ? (s = 1, u = !0) : q("/") && (s = -1, u = !0) } for (var l = [], p = 1; ;) { for (E(); "(" === n;)l.push(s), p *= s, s = 1, O(), E(); var m = void 0; if (!n) break; var h = n; if (null === (m = T())) throw new SyntaxError('Unexpected "' + h + '" in "' + t + '" at index ' + r.toString()); var d = z(m); if (null === d) throw new SyntaxError('Unit "' + m + '" not found.'); var y = s * p; if (E(), q("^")) { E(); var g = _(); if (null === g) throw new SyntaxError('In "' + e + '", "^" must be followed by a floating-point number'); y *= g } o.units.push({ unit: d.unit, prefix: d.prefix, power: y }); for (var v = 0; v < B.length; v++)o.dimensions[v] += (d.unit.dimensions[v] || 0) * y; for (E(); ")" === n;) { if (0 === l.length) throw new SyntaxError('Unmatched ")" in "' + t + '" at index ' + r.toString()); p /= l.pop(), O(), E() } if (u = !1, q("*") ? (s = 1, u = !0) : q("/") ? (s = -1, u = !0) : s = 1, d.unit.base) { var x = d.unit.base.key; L.auto[x] = { unit: d.unit, prefix: d.prefix } } } if (E(), n) throw new SyntaxError('Could not parse: "' + e + '"'); if (u) throw new SyntaxError('Trailing characters: "' + e + '"'); if (0 !== l.length) throw new SyntaxError('Unmatched "(" in "' + t + '"'); if (0 === o.units.length && !i.allowNoUnits) throw new SyntaxError('"' + e + '" contains no units'); return o.value = void 0 !== f ? o._normalize(f) : null, o }, S.prototype.clone = function () { var e = new S; e.fixPrefix = this.fixPrefix, e.skipAutomaticSimplification = this.skipAutomaticSimplification, e.value = Fe(this.value), e.dimensions = this.dimensions.slice(0), e.units = []; for (var t = 0; t < this.units.length; t++)for (var r in e.units[t] = {}, this.units[t]) Ze(this.units[t], r) && (e.units[t][r] = this.units[t][r]); return e }, S.prototype._isDerived = function () { return 0 !== this.units.length && (this.units.length > 1 || Math.abs(this.units[0].power - 1) > 1e-15) }, S.prototype._normalize = function (e) { var t, r, n, i, a; if (null == e || 0 === this.units.length) return e; if (this._isDerived()) { var s = e; a = S._getNumberConverter(H(e)); for (var u = 0; u < this.units.length; u++)t = a(this.units[u].unit.value), i = a(this.units[u].prefix.value), n = a(this.units[u].power), s = f(s, p(f(t, i), n)); return s } return t = (a = S._getNumberConverter(H(e)))(this.units[0].unit.value), r = a(this.units[0].unit.offset), i = a(this.units[0].prefix.value), f(o(e, r), f(t, i)) }, S.prototype._denormalize = function (e, t) { var r, n, i, a, o; if (null == e || 0 === this.units.length) return e; if (this._isDerived()) { var s = e; o = S._getNumberConverter(H(e)); for (var c = 0; c < this.units.length; c++)r = o(this.units[c].unit.value), a = o(this.units[c].prefix.value), i = o(this.units[c].power), s = l(s, p(f(r, a), i)); return s } return r = (o = S._getNumberConverter(H(e)))(this.units[0].unit.value), a = o(this.units[0].prefix.value), n = o(this.units[0].unit.offset), u(l(l(e, r), null == t ? a : t), n) }, S.isValuelessUnit = function (e) { return null !== z(e) }, S.prototype.hasBase = function (e) { if ("string" == typeof e && (e = D[e]), !e) return !1; for (var t = 0; t < B.length; t++)if (Math.abs((this.dimensions[t] || 0) - (e.dimensions[t] || 0)) > 1e-12) return !1; return !0 }, S.prototype.equalBase = function (e) { for (var t = 0; t < B.length; t++)if (Math.abs((this.dimensions[t] || 0) - (e.dimensions[t] || 0)) > 1e-12) return !1; return !0 }, S.prototype.equals = function (e) { return this.equalBase(e) && y(this.value, e.value) }, S.prototype.multiply = function (e) { for (var t = this.clone(), r = 0; r < B.length; r++)t.dimensions[r] = (this.dimensions[r] || 0) + (e.dimensions[r] || 0); for (var n = 0; n < e.units.length; n++) { var i = ro({}, e.units[n]); t.units.push(i) } if (null !== this.value || null !== e.value) { var a = null === this.value ? this._normalize(1) : this.value, o = null === e.value ? e._normalize(1) : e.value; t.value = f(a, o) } else t.value = null; return t.skipAutomaticSimplification = !1, k(t) }, S.prototype.divide = function (e) { for (var t = this.clone(), r = 0; r < B.length; r++)t.dimensions[r] = (this.dimensions[r] || 0) - (e.dimensions[r] || 0); for (var n = 0; n < e.units.length; n++) { var i = ro(ro({}, e.units[n]), {}, { power: -e.units[n].power }); t.units.push(i) } if (null !== this.value || null !== e.value) { var a = null === this.value ? this._normalize(1) : this.value, o = null === e.value ? e._normalize(1) : e.value; t.value = l(a, o) } else t.value = null; return t.skipAutomaticSimplification = !1, k(t) }, S.prototype.pow = function (e) { for (var t = this.clone(), r = 0; r < B.length; r++)t.dimensions[r] = (this.dimensions[r] || 0) * e; for (var n = 0; n < t.units.length; n++)t.units[n].power *= e; return null !== t.value ? t.value = p(t.value, e) : t.value = null, t.skipAutomaticSimplification = !1, k(t) }, S.prototype.abs = function () { var e = this.clone(); for (var t in e.value = null !== e.value ? m(e.value) : null, e.units) "VA" !== e.units[t].unit.name && "VAR" !== e.units[t].unit.name || (e.units[t].unit = P.W); return e }, S.prototype.to = function (e) { var t, r = null === this.value ? this._normalize(1) : this.value; if ("string" == typeof e) { if (t = S.parse(e), !this.equalBase(t)) throw new Error("Units do not match ('".concat(t.toString(), "' != '").concat(this.toString(), "')")); if (null !== t.value) throw new Error("Cannot convert to a unit with a value"); return t.value = Fe(r), t.fixPrefix = !0, t.skipAutomaticSimplification = !0, t } if (c(e)) { if (!this.equalBase(e)) throw new Error("Units do not match ('".concat(e.toString(), "' != '").concat(this.toString(), "')")); if (null !== e.value) throw new Error("Cannot convert to a unit with a value"); return (t = e.clone()).value = Fe(r), t.fixPrefix = !0, t.skipAutomaticSimplification = !0, t } throw new Error("String or Unit expected as parameter") }, S.prototype.toNumber = function (e) { return M(this.toNumeric(e)) }, S.prototype.toNumeric = function (e) { var t; return (t = e ? this.to(e) : this.clone())._isDerived() || 0 === t.units.length ? t._denormalize(t.value) : t._denormalize(t.value, t.units[0].prefix.value) }, S.prototype.toString = function () { return this.format() }, S.prototype.toJSON = function () { return { mathjs: "Unit", value: this._denormalize(this.value), unit: this.formatUnits(), fixPrefix: this.fixPrefix } }, S.fromJSON = function (e) { var t = new S(e.value, e.unit); return t.fixPrefix = e.fixPrefix || !1, t }, S.prototype.valueOf = S.prototype.toString, S.prototype.simplify = function () { var e, t, r = this.clone(), n = []; for (var i in $) if (Ze($, i) && r.hasBase(D[i])) { e = i; break } if ("NONE" === e) r.units = []; else if (e && Ze($, e) && (t = $[e]), t) r.units = [{ unit: t.unit, prefix: t.prefix, power: 1 }]; else { for (var a = !1, o = 0; o < B.length; o++) { var s = B[o]; Math.abs(r.dimensions[o] || 0) > 1e-12 && (Ze($, s) ? n.push({ unit: $[s].unit, prefix: $[s].prefix, power: r.dimensions[o] || 0 }) : a = !0) } n.length < r.units.length && !a && (r.units = n) } return r }, S.prototype.toSI = function () { for (var e = this.clone(), t = [], r = 0; r < B.length; r++) { var n = B[r]; if (Math.abs(e.dimensions[r] || 0) > 1e-12) { if (!Ze(L.si, n)) throw new Error("Cannot express custom unit " + n + " in SI units"); t.push({ unit: L.si[n].unit, prefix: L.si[n].prefix, power: e.dimensions[r] || 0 }) } } return e.units = t, e.fixPrefix = !0, e.skipAutomaticSimplification = !0, e }, S.prototype.formatUnits = function () { for (var e = "", t = "", r = 0, n = 0, i = 0; i < this.units.length; i++)this.units[i].power > 0 ? (r++, e += " " + this.units[i].prefix.name + this.units[i].unit.name, Math.abs(this.units[i].power - 1) > 1e-15 && (e += "^" + this.units[i].power)) : this.units[i].power < 0 && n++; if (n > 0) for (var a = 0; a < this.units.length; a++)this.units[a].power < 0 && (r > 0 ? (t += " " + this.units[a].prefix.name + this.units[a].unit.name, Math.abs(this.units[a].power + 1) > 1e-15 && (t += "^" + -this.units[a].power)) : (t += " " + this.units[a].prefix.name + this.units[a].unit.name, t += "^" + this.units[a].power)); e = e.substr(1), t = t.substr(1), r > 1 && n > 0 && (e = "(" + e + ")"), n > 1 && r > 0 && (t = "(" + t + ")"); var o = e; return r > 0 && n > 0 && (o += " / "), o += t }, S.prototype.format = function (e) { var t = this.skipAutomaticSimplification || null === this.value ? this.clone() : this.simplify(), r = !1; for (var n in void 0 !== t.value && null !== t.value && s(t.value) && (r = Math.abs(t.value.re) < 1e-14), t.units) Ze(t.units, n) && t.units[n].unit && ("VA" === t.units[n].unit.name && r ? t.units[n].unit = P.VAR : "VAR" !== t.units[n].unit.name || r || (t.units[n].unit = P.VA)); 1 !== t.units.length || t.fixPrefix || Math.abs(t.units[0].power - Math.round(t.units[0].power)) < 1e-14 && (t.units[0].prefix = t._bestPrefix()); var i = t._denormalize(t.value), a = null !== t.value ? v(i, e || {}) : "", o = t.formatUnits(); return t.value && s(t.value) && (a = "(" + a + ")"), o.length > 0 && a.length > 0 && (a += " "), a += o }, S.prototype._bestPrefix = function () { if (1 !== this.units.length) throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!"); if (Math.abs(this.units[0].power - Math.round(this.units[0].power)) >= 1e-14) throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!"); var e = null !== this.value ? m(this.value) : 0, t = m(this.units[0].unit.value), r = this.units[0].prefix; if (0 === e) return r; var n = this.units[0].power, i = Math.log(e / Math.pow(r.value * t, n)) / Math.LN10 - 1.2; if (i > -2.200001 && i < 1.800001) return r; i = Math.abs(i); var a = this.units[0].unit.prefixes; for (var o in a) if (Ze(a, o)) { var s = a[o]; if (s.scientific) { var u = Math.abs(Math.log(e / Math.pow(s.value * t, n)) / Math.LN10 - 1.2); (u < i || u === i && s.name.length < r.name.length) && (r = s, i = u) } } return r }, S.prototype.splitUnit = function (e) { for (var t = this.clone(), r = [], n = 0; n < e.length && (t = t.to(e[n]), n !== e.length - 1); n++) { var i = t.toNumeric(), a = d(i), s = new S(y(a, i) ? a : h(t.toNumeric()), e[n].toString()); r.push(s), t = u(t, s) } for (var c = 0, f = 0; f < r.length; f++)c = o(c, r[f].value); return y(c, this.value) && (t.value = 0), r.push(t), r }; var I = { NONE: { "": { name: "", value: 1, scientific: !0 } }, SHORT: { "": { name: "", value: 1, scientific: !0 }, da: { name: "da", value: 10, scientific: !1 }, h: { name: "h", value: 100, scientific: !1 }, k: { name: "k", value: 1e3, scientific: !0 }, M: { name: "M", value: 1e6, scientific: !0 }, G: { name: "G", value: 1e9, scientific: !0 }, T: { name: "T", value: 1e12, scientific: !0 }, P: { name: "P", value: 1e15, scientific: !0 }, E: { name: "E", value: 1e18, scientific: !0 }, Z: { name: "Z", value: 1e21, scientific: !0 }, Y: { name: "Y", value: 1e24, scientific: !0 }, d: { name: "d", value: .1, scientific: !1 }, c: { name: "c", value: .01, scientific: !1 }, m: { name: "m", value: .001, scientific: !0 }, u: { name: "u", value: 1e-6, scientific: !0 }, n: { name: "n", value: 1e-9, scientific: !0 }, p: { name: "p", value: 1e-12, scientific: !0 }, f: { name: "f", value: 1e-15, scientific: !0 }, a: { name: "a", value: 1e-18, scientific: !0 }, z: { name: "z", value: 1e-21, scientific: !0 }, y: { name: "y", value: 1e-24, scientific: !0 } }, LONG: { "": { name: "", value: 1, scientific: !0 }, deca: { name: "deca", value: 10, scientific: !1 }, hecto: { name: "hecto", value: 100, scientific: !1 }, kilo: { name: "kilo", value: 1e3, scientific: !0 }, mega: { name: "mega", value: 1e6, scientific: !0 }, giga: { name: "giga", value: 1e9, scientific: !0 }, tera: { name: "tera", value: 1e12, scientific: !0 }, peta: { name: "peta", value: 1e15, scientific: !0 }, exa: { name: "exa", value: 1e18, scientific: !0 }, zetta: { name: "zetta", value: 1e21, scientific: !0 }, yotta: { name: "yotta", value: 1e24, scientific: !0 }, deci: { name: "deci", value: .1, scientific: !1 }, centi: { name: "centi", value: .01, scientific: !1 }, milli: { name: "milli", value: .001, scientific: !0 }, micro: { name: "micro", value: 1e-6, scientific: !0 }, nano: { name: "nano", value: 1e-9, scientific: !0 }, pico: { name: "pico", value: 1e-12, scientific: !0 }, femto: { name: "femto", value: 1e-15, scientific: !0 }, atto: { name: "atto", value: 1e-18, scientific: !0 }, zepto: { name: "zepto", value: 1e-21, scientific: !0 }, yocto: { name: "yocto", value: 1e-24, scientific: !0 } }, SQUARED: { "": { name: "", value: 1, scientific: !0 }, da: { name: "da", value: 100, scientific: !1 }, h: { name: "h", value: 1e4, scientific: !1 }, k: { name: "k", value: 1e6, scientific: !0 }, M: { name: "M", value: 1e12, scientific: !0 }, G: { name: "G", value: 1e18, scientific: !0 }, T: { name: "T", value: 1e24, scientific: !0 }, P: { name: "P", value: 1e30, scientific: !0 }, E: { name: "E", value: 1e36, scientific: !0 }, Z: { name: "Z", value: 1e42, scientific: !0 }, Y: { name: "Y", value: 1e48, scientific: !0 }, d: { name: "d", value: .01, scientific: !1 }, c: { name: "c", value: 1e-4, scientific: !1 }, m: { name: "m", value: 1e-6, scientific: !0 }, u: { name: "u", value: 1e-12, scientific: !0 }, n: { name: "n", value: 1e-18, scientific: !0 }, p: { name: "p", value: 1e-24, scientific: !0 }, f: { name: "f", value: 1e-30, scientific: !0 }, a: { name: "a", value: 1e-36, scientific: !0 }, z: { name: "z", value: 1e-42, scientific: !0 }, y: { name: "y", value: 1e-48, scientific: !0 } }, CUBIC: { "": { name: "", value: 1, scientific: !0 }, da: { name: "da", value: 1e3, scientific: !1 }, h: { name: "h", value: 1e6, scientific: !1 }, k: { name: "k", value: 1e9, scientific: !0 }, M: { name: "M", value: 1e18, scientific: !0 }, G: { name: "G", value: 1e27, scientific: !0 }, T: { name: "T", value: 1e36, scientific: !0 }, P: { name: "P", value: 1e45, scientific: !0 }, E: { name: "E", value: 1e54, scientific: !0 }, Z: { name: "Z", value: 1e63, scientific: !0 }, Y: { name: "Y", value: 1e72, scientific: !0 }, d: { name: "d", value: .001, scientific: !1 }, c: { name: "c", value: 1e-6, scientific: !1 }, m: { name: "m", value: 1e-9, scientific: !0 }, u: { name: "u", value: 1e-18, scientific: !0 }, n: { name: "n", value: 1e-27, scientific: !0 }, p: { name: "p", value: 1e-36, scientific: !0 }, f: { name: "f", value: 1e-45, scientific: !0 }, a: { name: "a", value: 1e-54, scientific: !0 }, z: { name: "z", value: 1e-63, scientific: !0 }, y: { name: "y", value: 1e-72, scientific: !0 } }, BINARY_SHORT_SI: { "": { name: "", value: 1, scientific: !0 }, k: { name: "k", value: 1e3, scientific: !0 }, M: { name: "M", value: 1e6, scientific: !0 }, G: { name: "G", value: 1e9, scientific: !0 }, T: { name: "T", value: 1e12, scientific: !0 }, P: { name: "P", value: 1e15, scientific: !0 }, E: { name: "E", value: 1e18, scientific: !0 }, Z: { name: "Z", value: 1e21, scientific: !0 }, Y: { name: "Y", value: 1e24, scientific: !0 } }, BINARY_SHORT_IEC: { "": { name: "", value: 1, scientific: !0 }, Ki: { name: "Ki", value: 1024, scientific: !0 }, Mi: { name: "Mi", value: Math.pow(1024, 2), scientific: !0 }, Gi: { name: "Gi", value: Math.pow(1024, 3), scientific: !0 }, Ti: { name: "Ti", value: Math.pow(1024, 4), scientific: !0 }, Pi: { name: "Pi", value: Math.pow(1024, 5), scientific: !0 }, Ei: { name: "Ei", value: Math.pow(1024, 6), scientific: !0 }, Zi: { name: "Zi", value: Math.pow(1024, 7), scientific: !0 }, Yi: { name: "Yi", value: Math.pow(1024, 8), scientific: !0 } }, BINARY_LONG_SI: { "": { name: "", value: 1, scientific: !0 }, kilo: { name: "kilo", value: 1e3, scientific: !0 }, mega: { name: "mega", value: 1e6, scientific: !0 }, giga: { name: "giga", value: 1e9, scientific: !0 }, tera: { name: "tera", value: 1e12, scientific: !0 }, peta: { name: "peta", value: 1e15, scientific: !0 }, exa: { name: "exa", value: 1e18, scientific: !0 }, zetta: { name: "zetta", value: 1e21, scientific: !0 }, yotta: { name: "yotta", value: 1e24, scientific: !0 } }, BINARY_LONG_IEC: { "": { name: "", value: 1, scientific: !0 }, kibi: { name: "kibi", value: 1024, scientific: !0 }, mebi: { name: "mebi", value: Math.pow(1024, 2), scientific: !0 }, gibi: { name: "gibi", value: Math.pow(1024, 3), scientific: !0 }, tebi: { name: "tebi", value: Math.pow(1024, 4), scientific: !0 }, pebi: { name: "pebi", value: Math.pow(1024, 5), scientific: !0 }, exi: { name: "exi", value: Math.pow(1024, 6), scientific: !0 }, zebi: { name: "zebi", value: Math.pow(1024, 7), scientific: !0 }, yobi: { name: "yobi", value: Math.pow(1024, 8), scientific: !0 } }, BTU: { "": { name: "", value: 1, scientific: !0 }, MM: { name: "MM", value: 1e6, scientific: !0 } } }; I.SHORTLONG = eo({}, I.SHORT, I.LONG), I.BINARY_SHORT = eo({}, I.BINARY_SHORT_SI, I.BINARY_SHORT_IEC), I.BINARY_LONG = eo({}, I.BINARY_LONG_SI, I.BINARY_LONG_IEC); var B = ["MASS", "LENGTH", "TIME", "CURRENT", "TEMPERATURE", "LUMINOUS_INTENSITY", "AMOUNT_OF_SUBSTANCE", "ANGLE", "BIT"], D = { NONE: { dimensions: [0, 0, 0, 0, 0, 0, 0, 0, 0] }, MASS: { dimensions: [1, 0, 0, 0, 0, 0, 0, 0, 0] }, LENGTH: { dimensions: [0, 1, 0, 0, 0, 0, 0, 0, 0] }, TIME: { dimensions: [0, 0, 1, 0, 0, 0, 0, 0, 0] }, CURRENT: { dimensions: [0, 0, 0, 1, 0, 0, 0, 0, 0] }, TEMPERATURE: { dimensions: [0, 0, 0, 0, 1, 0, 0, 0, 0] }, LUMINOUS_INTENSITY: { dimensions: [0, 0, 0, 0, 0, 1, 0, 0, 0] }, AMOUNT_OF_SUBSTANCE: { dimensions: [0, 0, 0, 0, 0, 0, 1, 0, 0] }, FORCE: { dimensions: [1, 1, -2, 0, 0, 0, 0, 0, 0] }, SURFACE: { dimensions: [0, 2, 0, 0, 0, 0, 0, 0, 0] }, VOLUME: { dimensions: [0, 3, 0, 0, 0, 0, 0, 0, 0] }, ENERGY: { dimensions: [1, 2, -2, 0, 0, 0, 0, 0, 0] }, POWER: { dimensions: [1, 2, -3, 0, 0, 0, 0, 0, 0] }, PRESSURE: { dimensions: [1, -1, -2, 0, 0, 0, 0, 0, 0] }, ELECTRIC_CHARGE: { dimensions: [0, 0, 1, 1, 0, 0, 0, 0, 0] }, ELECTRIC_CAPACITANCE: { dimensions: [-1, -2, 4, 2, 0, 0, 0, 0, 0] }, ELECTRIC_POTENTIAL: { dimensions: [1, 2, -3, -1, 0, 0, 0, 0, 0] }, ELECTRIC_RESISTANCE: { dimensions: [1, 2, -3, -2, 0, 0, 0, 0, 0] }, ELECTRIC_INDUCTANCE: { dimensions: [1, 2, -2, -2, 0, 0, 0, 0, 0] }, ELECTRIC_CONDUCTANCE: { dimensions: [-1, -2, 3, 2, 0, 0, 0, 0, 0] }, MAGNETIC_FLUX: { dimensions: [1, 2, -2, -1, 0, 0, 0, 0, 0] }, MAGNETIC_FLUX_DENSITY: { dimensions: [1, 0, -2, -1, 0, 0, 0, 0, 0] }, FREQUENCY: { dimensions: [0, 0, -1, 0, 0, 0, 0, 0, 0] }, ANGLE: { dimensions: [0, 0, 0, 0, 0, 0, 0, 1, 0] }, BIT: { dimensions: [0, 0, 0, 0, 0, 0, 0, 0, 1] } }; for (var R in D) Ze(D, R) && (D[R].key = R); var j = { name: "", base: {}, value: 1, offset: 0, dimensions: B.map((function (e) { return 0 })) }, P = { meter: { name: "meter", base: D.LENGTH, prefixes: I.LONG, value: 1, offset: 0 }, inch: { name: "inch", base: D.LENGTH, prefixes: I.NONE, value: .0254, offset: 0 }, foot: { name: "foot", base: D.LENGTH, prefixes: I.NONE, value: .3048, offset: 0 }, yard: { name: "yard", base: D.LENGTH, prefixes: I.NONE, value: .9144, offset: 0 }, mile: { name: "mile", base: D.LENGTH, prefixes: I.NONE, value: 1609.344, offset: 0 }, link: { name: "link", base: D.LENGTH, prefixes: I.NONE, value: .201168, offset: 0 }, rod: { name: "rod", base: D.LENGTH, prefixes: I.NONE, value: 5.0292, offset: 0 }, chain: { name: "chain", base: D.LENGTH, prefixes: I.NONE, value: 20.1168, offset: 0 }, angstrom: { name: "angstrom", base: D.LENGTH, prefixes: I.NONE, value: 1e-10, offset: 0 }, m: { name: "m", base: D.LENGTH, prefixes: I.SHORT, value: 1, offset: 0 }, in: { name: "in", base: D.LENGTH, prefixes: I.NONE, value: .0254, offset: 0 }, ft: { name: "ft", base: D.LENGTH, prefixes: I.NONE, value: .3048, offset: 0 }, yd: { name: "yd", base: D.LENGTH, prefixes: I.NONE, value: .9144, offset: 0 }, mi: { name: "mi", base: D.LENGTH, prefixes: I.NONE, value: 1609.344, offset: 0 }, li: { name: "li", base: D.LENGTH, prefixes: I.NONE, value: .201168, offset: 0 }, rd: { name: "rd", base: D.LENGTH, prefixes: I.NONE, value: 5.02921, offset: 0 }, ch: { name: "ch", base: D.LENGTH, prefixes: I.NONE, value: 20.1168, offset: 0 }, mil: { name: "mil", base: D.LENGTH, prefixes: I.NONE, value: 254e-7, offset: 0 }, m2: { name: "m2", base: D.SURFACE, prefixes: I.SQUARED, value: 1, offset: 0 }, sqin: { name: "sqin", base: D.SURFACE, prefixes: I.NONE, value: 64516e-8, offset: 0 }, sqft: { name: "sqft", base: D.SURFACE, prefixes: I.NONE, value: .09290304, offset: 0 }, sqyd: { name: "sqyd", base: D.SURFACE, prefixes: I.NONE, value: .83612736, offset: 0 }, sqmi: { name: "sqmi", base: D.SURFACE, prefixes: I.NONE, value: 2589988.110336, offset: 0 }, sqrd: { name: "sqrd", base: D.SURFACE, prefixes: I.NONE, value: 25.29295, offset: 0 }, sqch: { name: "sqch", base: D.SURFACE, prefixes: I.NONE, value: 404.6873, offset: 0 }, sqmil: { name: "sqmil", base: D.SURFACE, prefixes: I.NONE, value: 6.4516e-10, offset: 0 }, acre: { name: "acre", base: D.SURFACE, prefixes: I.NONE, value: 4046.86, offset: 0 }, hectare: { name: "hectare", base: D.SURFACE, prefixes: I.NONE, value: 1e4, offset: 0 }, m3: { name: "m3", base: D.VOLUME, prefixes: I.CUBIC, value: 1, offset: 0 }, L: { name: "L", base: D.VOLUME, prefixes: I.SHORT, value: .001, offset: 0 }, l: { name: "l", base: D.VOLUME, prefixes: I.SHORT, value: .001, offset: 0 }, litre: { name: "litre", base: D.VOLUME, prefixes: I.LONG, value: .001, offset: 0 }, cuin: { name: "cuin", base: D.VOLUME, prefixes: I.NONE, value: 16387064e-12, offset: 0 }, cuft: { name: "cuft", base: D.VOLUME, prefixes: I.NONE, value: .028316846592, offset: 0 }, cuyd: { name: "cuyd", base: D.VOLUME, prefixes: I.NONE, value: .764554857984, offset: 0 }, teaspoon: { name: "teaspoon", base: D.VOLUME, prefixes: I.NONE, value: 5e-6, offset: 0 }, tablespoon: { name: "tablespoon", base: D.VOLUME, prefixes: I.NONE, value: 15e-6, offset: 0 }, drop: { name: "drop", base: D.VOLUME, prefixes: I.NONE, value: 5e-8, offset: 0 }, gtt: { name: "gtt", base: D.VOLUME, prefixes: I.NONE, value: 5e-8, offset: 0 }, minim: { name: "minim", base: D.VOLUME, prefixes: I.NONE, value: 6.161152e-8, offset: 0 }, fluiddram: { name: "fluiddram", base: D.VOLUME, prefixes: I.NONE, value: 36966911e-13, offset: 0 }, fluidounce: { name: "fluidounce", base: D.VOLUME, prefixes: I.NONE, value: 2957353e-11, offset: 0 }, gill: { name: "gill", base: D.VOLUME, prefixes: I.NONE, value: .0001182941, offset: 0 }, cc: { name: "cc", base: D.VOLUME, prefixes: I.NONE, value: 1e-6, offset: 0 }, cup: { name: "cup", base: D.VOLUME, prefixes: I.NONE, value: .0002365882, offset: 0 }, pint: { name: "pint", base: D.VOLUME, prefixes: I.NONE, value: .0004731765, offset: 0 }, quart: { name: "quart", base: D.VOLUME, prefixes: I.NONE, value: .0009463529, offset: 0 }, gallon: { name: "gallon", base: D.VOLUME, prefixes: I.NONE, value: .003785412, offset: 0 }, beerbarrel: { name: "beerbarrel", base: D.VOLUME, prefixes: I.NONE, value: .1173478, offset: 0 }, oilbarrel: { name: "oilbarrel", base: D.VOLUME, prefixes: I.NONE, value: .1589873, offset: 0 }, hogshead: { name: "hogshead", base: D.VOLUME, prefixes: I.NONE, value: .238481, offset: 0 }, fldr: { name: "fldr", base: D.VOLUME, prefixes: I.NONE, value: 36966911e-13, offset: 0 }, floz: { name: "floz", base: D.VOLUME, prefixes: I.NONE, value: 2957353e-11, offset: 0 }, gi: { name: "gi", base: D.VOLUME, prefixes: I.NONE, value: .0001182941, offset: 0 }, cp: { name: "cp", base: D.VOLUME, prefixes: I.NONE, value: .0002365882, offset: 0 }, pt: { name: "pt", base: D.VOLUME, prefixes: I.NONE, value: .0004731765, offset: 0 }, qt: { name: "qt", base: D.VOLUME, prefixes: I.NONE, value: .0009463529, offset: 0 }, gal: { name: "gal", base: D.VOLUME, prefixes: I.NONE, value: .003785412, offset: 0 }, bbl: { name: "bbl", base: D.VOLUME, prefixes: I.NONE, value: .1173478, offset: 0 }, obl: { name: "obl", base: D.VOLUME, prefixes: I.NONE, value: .1589873, offset: 0 }, g: { name: "g", base: D.MASS, prefixes: I.SHORT, value: .001, offset: 0 }, gram: { name: "gram", base: D.MASS, prefixes: I.LONG, value: .001, offset: 0 }, ton: { name: "ton", base: D.MASS, prefixes: I.SHORT, value: 907.18474, offset: 0 }, t: { name: "t", base: D.MASS, prefixes: I.SHORT, value: 1e3, offset: 0 }, tonne: { name: "tonne", base: D.MASS, prefixes: I.LONG, value: 1e3, offset: 0 }, grain: { name: "grain", base: D.MASS, prefixes: I.NONE, value: 6479891e-11, offset: 0 }, dram: { name: "dram", base: D.MASS, prefixes: I.NONE, value: .0017718451953125, offset: 0 }, ounce: { name: "ounce", base: D.MASS, prefixes: I.NONE, value: .028349523125, offset: 0 }, poundmass: { name: "poundmass", base: D.MASS, prefixes: I.NONE, value: .45359237, offset: 0 }, hundredweight: { name: "hundredweight", base: D.MASS, prefixes: I.NONE, value: 45.359237, offset: 0 }, stick: { name: "stick", base: D.MASS, prefixes: I.NONE, value: .115, offset: 0 }, stone: { name: "stone", base: D.MASS, prefixes: I.NONE, value: 6.35029318, offset: 0 }, gr: { name: "gr", base: D.MASS, prefixes: I.NONE, value: 6479891e-11, offset: 0 }, dr: { name: "dr", base: D.MASS, prefixes: I.NONE, value: .0017718451953125, offset: 0 }, oz: { name: "oz", base: D.MASS, prefixes: I.NONE, value: .028349523125, offset: 0 }, lbm: { name: "lbm", base: D.MASS, prefixes: I.NONE, value: .45359237, offset: 0 }, cwt: { name: "cwt", base: D.MASS, prefixes: I.NONE, value: 45.359237, offset: 0 }, s: { name: "s", base: D.TIME, prefixes: I.SHORT, value: 1, offset: 0 }, min: { name: "min", base: D.TIME, prefixes: I.NONE, value: 60, offset: 0 }, h: { name: "h", base: D.TIME, prefixes: I.NONE, value: 3600, offset: 0 }, second: { name: "second", base: D.TIME, prefixes: I.LONG, value: 1, offset: 0 }, sec: { name: "sec", base: D.TIME, prefixes: I.LONG, value: 1, offset: 0 }, minute: { name: "minute", base: D.TIME, prefixes: I.NONE, value: 60, offset: 0 }, hour: { name: "hour", base: D.TIME, prefixes: I.NONE, value: 3600, offset: 0 }, day: { name: "day", base: D.TIME, prefixes: I.NONE, value: 86400, offset: 0 }, week: { name: "week", base: D.TIME, prefixes: I.NONE, value: 604800, offset: 0 }, month: { name: "month", base: D.TIME, prefixes: I.NONE, value: 2629800, offset: 0 }, year: { name: "year", base: D.TIME, prefixes: I.NONE, value: 31557600, offset: 0 }, decade: { name: "decade", base: D.TIME, prefixes: I.NONE, value: 315576e3, offset: 0 }, century: { name: "century", base: D.TIME, prefixes: I.NONE, value: 315576e4, offset: 0 }, millennium: { name: "millennium", base: D.TIME, prefixes: I.NONE, value: 315576e5, offset: 0 }, hertz: { name: "Hertz", base: D.FREQUENCY, prefixes: I.LONG, value: 1, offset: 0, reciprocal: !0 }, Hz: { name: "Hz", base: D.FREQUENCY, prefixes: I.SHORT, value: 1, offset: 0, reciprocal: !0 }, rad: { name: "rad", base: D.ANGLE, prefixes: I.SHORT, value: 1, offset: 0 }, radian: { name: "radian", base: D.ANGLE, prefixes: I.LONG, value: 1, offset: 0 }, deg: { name: "deg", base: D.ANGLE, prefixes: I.SHORT, value: null, offset: 0 }, degree: { name: "degree", base: D.ANGLE, prefixes: I.LONG, value: null, offset: 0 }, grad: { name: "grad", base: D.ANGLE, prefixes: I.SHORT, value: null, offset: 0 }, gradian: { name: "gradian", base: D.ANGLE, prefixes: I.LONG, value: null, offset: 0 }, cycle: { name: "cycle", base: D.ANGLE, prefixes: I.NONE, value: null, offset: 0 }, arcsec: { name: "arcsec", base: D.ANGLE, prefixes: I.NONE, value: null, offset: 0 }, arcmin: { name: "arcmin", base: D.ANGLE, prefixes: I.NONE, value: null, offset: 0 }, A: { name: "A", base: D.CURRENT, prefixes: I.SHORT, value: 1, offset: 0 }, ampere: { name: "ampere", base: D.CURRENT, prefixes: I.LONG, value: 1, offset: 0 }, K: { name: "K", base: D.TEMPERATURE, prefixes: I.NONE, value: 1, offset: 0 }, degC: { name: "degC", base: D.TEMPERATURE, prefixes: I.NONE, value: 1, offset: 273.15 }, degF: { name: "degF", base: D.TEMPERATURE, prefixes: I.NONE, value: 1 / 1.8, offset: 459.67 }, degR: { name: "degR", base: D.TEMPERATURE, prefixes: I.NONE, value: 1 / 1.8, offset: 0 }, kelvin: { name: "kelvin", base: D.TEMPERATURE, prefixes: I.NONE, value: 1, offset: 0 }, celsius: { name: "celsius", base: D.TEMPERATURE, prefixes: I.NONE, value: 1, offset: 273.15 }, fahrenheit: { name: "fahrenheit", base: D.TEMPERATURE, prefixes: I.NONE, value: 1 / 1.8, offset: 459.67 }, rankine: { name: "rankine", base: D.TEMPERATURE, prefixes: I.NONE, value: 1 / 1.8, offset: 0 }, mol: { name: "mol", base: D.AMOUNT_OF_SUBSTANCE, prefixes: I.SHORT, value: 1, offset: 0 }, mole: { name: "mole", base: D.AMOUNT_OF_SUBSTANCE, prefixes: I.LONG, value: 1, offset: 0 }, cd: { name: "cd", base: D.LUMINOUS_INTENSITY, prefixes: I.SHORT, value: 1, offset: 0 }, candela: { name: "candela", base: D.LUMINOUS_INTENSITY, prefixes: I.LONG, value: 1, offset: 0 }, N: { name: "N", base: D.FORCE, prefixes: I.SHORT, value: 1, offset: 0 }, newton: { name: "newton", base: D.FORCE, prefixes: I.LONG, value: 1, offset: 0 }, dyn: { name: "dyn", base: D.FORCE, prefixes: I.SHORT, value: 1e-5, offset: 0 }, dyne: { name: "dyne", base: D.FORCE, prefixes: I.LONG, value: 1e-5, offset: 0 }, lbf: { name: "lbf", base: D.FORCE, prefixes: I.NONE, value: 4.4482216152605, offset: 0 }, poundforce: { name: "poundforce", base: D.FORCE, prefixes: I.NONE, value: 4.4482216152605, offset: 0 }, kip: { name: "kip", base: D.FORCE, prefixes: I.LONG, value: 4448.2216, offset: 0 }, kilogramforce: { name: "kilogramforce", base: D.FORCE, prefixes: I.NONE, value: 9.80665, offset: 0 }, J: { name: "J", base: D.ENERGY, prefixes: I.SHORT, value: 1, offset: 0 }, joule: { name: "joule", base: D.ENERGY, prefixes: I.SHORT, value: 1, offset: 0 }, erg: { name: "erg", base: D.ENERGY, prefixes: I.NONE, value: 1e-7, offset: 0 }, Wh: { name: "Wh", base: D.ENERGY, prefixes: I.SHORT, value: 3600, offset: 0 }, BTU: { name: "BTU", base: D.ENERGY, prefixes: I.BTU, value: 1055.05585262, offset: 0 }, eV: { name: "eV", base: D.ENERGY, prefixes: I.SHORT, value: 1602176565e-28, offset: 0 }, electronvolt: { name: "electronvolt", base: D.ENERGY, prefixes: I.LONG, value: 1602176565e-28, offset: 0 }, W: { name: "W", base: D.POWER, prefixes: I.SHORT, value: 1, offset: 0 }, watt: { name: "watt", base: D.POWER, prefixes: I.LONG, value: 1, offset: 0 }, hp: { name: "hp", base: D.POWER, prefixes: I.NONE, value: 745.6998715386, offset: 0 }, VAR: { name: "VAR", base: D.POWER, prefixes: I.SHORT, value: b.I, offset: 0 }, VA: { name: "VA", base: D.POWER, prefixes: I.SHORT, value: 1, offset: 0 }, Pa: { name: "Pa", base: D.PRESSURE, prefixes: I.SHORT, value: 1, offset: 0 }, psi: { name: "psi", base: D.PRESSURE, prefixes: I.NONE, value: 6894.75729276459, offset: 0 }, atm: { name: "atm", base: D.PRESSURE, prefixes: I.NONE, value: 101325, offset: 0 }, bar: { name: "bar", base: D.PRESSURE, prefixes: I.SHORTLONG, value: 1e5, offset: 0 }, torr: { name: "torr", base: D.PRESSURE, prefixes: I.NONE, value: 133.322, offset: 0 }, mmHg: { name: "mmHg", base: D.PRESSURE, prefixes: I.NONE, value: 133.322, offset: 0 }, mmH2O: { name: "mmH2O", base: D.PRESSURE, prefixes: I.NONE, value: 9.80665, offset: 0 }, cmH2O: { name: "cmH2O", base: D.PRESSURE, prefixes: I.NONE, value: 98.0665, offset: 0 }, coulomb: { name: "coulomb", base: D.ELECTRIC_CHARGE, prefixes: I.LONG, value: 1, offset: 0 }, C: { name: "C", base: D.ELECTRIC_CHARGE, prefixes: I.SHORT, value: 1, offset: 0 }, farad: { name: "farad", base: D.ELECTRIC_CAPACITANCE, prefixes: I.LONG, value: 1, offset: 0 }, F: { name: "F", base: D.ELECTRIC_CAPACITANCE, prefixes: I.SHORT, value: 1, offset: 0 }, volt: { name: "volt", base: D.ELECTRIC_POTENTIAL, prefixes: I.LONG, value: 1, offset: 0 }, V: { name: "V", base: D.ELECTRIC_POTENTIAL, prefixes: I.SHORT, value: 1, offset: 0 }, ohm: { name: "ohm", base: D.ELECTRIC_RESISTANCE, prefixes: I.SHORTLONG, value: 1, offset: 0 }, henry: { name: "henry", base: D.ELECTRIC_INDUCTANCE, prefixes: I.LONG, value: 1, offset: 0 }, H: { name: "H", base: D.ELECTRIC_INDUCTANCE, prefixes: I.SHORT, value: 1, offset: 0 }, siemens: { name: "siemens", base: D.ELECTRIC_CONDUCTANCE, prefixes: I.LONG, value: 1, offset: 0 }, S: { name: "S", base: D.ELECTRIC_CONDUCTANCE, prefixes: I.SHORT, value: 1, offset: 0 }, weber: { name: "weber", base: D.MAGNETIC_FLUX, prefixes: I.LONG, value: 1, offset: 0 }, Wb: { name: "Wb", base: D.MAGNETIC_FLUX, prefixes: I.SHORT, value: 1, offset: 0 }, tesla: { name: "tesla", base: D.MAGNETIC_FLUX_DENSITY, prefixes: I.LONG, value: 1, offset: 0 }, T: { name: "T", base: D.MAGNETIC_FLUX_DENSITY, prefixes: I.SHORT, value: 1, offset: 0 }, b: { name: "b", base: D.BIT, prefixes: I.BINARY_SHORT, value: 1, offset: 0 }, bits: { name: "bits", base: D.BIT, prefixes: I.BINARY_LONG, value: 1, offset: 0 }, B: { name: "B", base: D.BIT, prefixes: I.BINARY_SHORT, value: 8, offset: 0 }, bytes: { name: "bytes", base: D.BIT, prefixes: I.BINARY_LONG, value: 8, offset: 0 } }, U = { meters: "meter", inches: "inch", feet: "foot", yards: "yard", miles: "mile", links: "link", rods: "rod", chains: "chain", angstroms: "angstrom", lt: "l", litres: "litre", liter: "litre", liters: "litre", teaspoons: "teaspoon", tablespoons: "tablespoon", minims: "minim", fluiddrams: "fluiddram", fluidounces: "fluidounce", gills: "gill", cups: "cup", pints: "pint", quarts: "quart", gallons: "gallon", beerbarrels: "beerbarrel", oilbarrels: "oilbarrel", hogsheads: "hogshead", gtts: "gtt", grams: "gram", tons: "ton", tonnes: "tonne", grains: "grain", drams: "dram", ounces: "ounce", poundmasses: "poundmass", hundredweights: "hundredweight", sticks: "stick", lb: "lbm", lbs: "lbm", kips: "kip", kgf: "kilogramforce", acres: "acre", hectares: "hectare", sqfeet: "sqft", sqyard: "sqyd", sqmile: "sqmi", sqmiles: "sqmi", mmhg: "mmHg", mmh2o: "mmH2O", cmh2o: "cmH2O", seconds: "second", secs: "second", minutes: "minute", mins: "minute", hours: "hour", hr: "hour", hrs: "hour", days: "day", weeks: "week", months: "month", years: "year", decades: "decade", centuries: "century", millennia: "millennium", hertz: "hertz", radians: "radian", degrees: "degree", gradians: "gradian", cycles: "cycle", arcsecond: "arcsec", arcseconds: "arcsec", arcminute: "arcmin", arcminutes: "arcmin", BTUs: "BTU", watts: "watt", joules: "joule", amperes: "ampere", coulombs: "coulomb", volts: "volt", ohms: "ohm", farads: "farad", webers: "weber", teslas: "tesla", electronvolts: "electronvolt", moles: "mole", bit: "bits", byte: "bytes" }; function F(e) { if ("BigNumber" === e.number) { var t = Ya(w); P.rad.value = new w(1), P.deg.value = t.div(180), P.grad.value = t.div(200), P.cycle.value = t.times(2), P.arcsec.value = t.div(648e3), P.arcmin.value = t.div(10800) } else P.rad.value = 1, P.deg.value = Math.PI / 180, P.grad.value = Math.PI / 200, P.cycle.value = 2 * Math.PI, P.arcsec.value = Math.PI / 648e3, P.arcmin.value = Math.PI / 10800; P.radian.value = P.rad.value, P.degree.value = P.deg.value, P.gradian.value = P.grad.value } F(a), i && i("config", (function (e, t) { e.number !== t.number && F(e) })); var L = { si: { NONE: { unit: j, prefix: I.NONE[""] }, LENGTH: { unit: P.m, prefix: I.SHORT[""] }, MASS: { unit: P.g, prefix: I.SHORT.k }, TIME: { unit: P.s, prefix: I.SHORT[""] }, CURRENT: { unit: P.A, prefix: I.SHORT[""] }, TEMPERATURE: { unit: P.K, prefix: I.SHORT[""] }, LUMINOUS_INTENSITY: { unit: P.cd, prefix: I.SHORT[""] }, AMOUNT_OF_SUBSTANCE: { unit: P.mol, prefix: I.SHORT[""] }, ANGLE: { unit: P.rad, prefix: I.SHORT[""] }, BIT: { unit: P.bits, prefix: I.SHORT[""] }, FORCE: { unit: P.N, prefix: I.SHORT[""] }, ENERGY: { unit: P.J, prefix: I.SHORT[""] }, POWER: { unit: P.W, prefix: I.SHORT[""] }, PRESSURE: { unit: P.Pa, prefix: I.SHORT[""] }, ELECTRIC_CHARGE: { unit: P.C, prefix: I.SHORT[""] }, ELECTRIC_CAPACITANCE: { unit: P.F, prefix: I.SHORT[""] }, ELECTRIC_POTENTIAL: { unit: P.V, prefix: I.SHORT[""] }, ELECTRIC_RESISTANCE: { unit: P.ohm, prefix: I.SHORT[""] }, ELECTRIC_INDUCTANCE: { unit: P.H, prefix: I.SHORT[""] }, ELECTRIC_CONDUCTANCE: { unit: P.S, prefix: I.SHORT[""] }, MAGNETIC_FLUX: { unit: P.Wb, prefix: I.SHORT[""] }, MAGNETIC_FLUX_DENSITY: { unit: P.T, prefix: I.SHORT[""] }, FREQUENCY: { unit: P.Hz, prefix: I.SHORT[""] } } }; L.cgs = JSON.parse(JSON.stringify(L.si)), L.cgs.LENGTH = { unit: P.m, prefix: I.SHORT.c }, L.cgs.MASS = { unit: P.g, prefix: I.SHORT[""] }, L.cgs.FORCE = { unit: P.dyn, prefix: I.SHORT[""] }, L.cgs.ENERGY = { unit: P.erg, prefix: I.NONE[""] }, L.us = JSON.parse(JSON.stringify(L.si)), L.us.LENGTH = { unit: P.ft, prefix: I.NONE[""] }, L.us.MASS = { unit: P.lbm, prefix: I.NONE[""] }, L.us.TEMPERATURE = { unit: P.degF, prefix: I.NONE[""] }, L.us.FORCE = { unit: P.lbf, prefix: I.NONE[""] }, L.us.ENERGY = { unit: P.BTU, prefix: I.BTU[""] }, L.us.POWER = { unit: P.hp, prefix: I.NONE[""] }, L.us.PRESSURE = { unit: P.psi, prefix: I.NONE[""] }, L.auto = JSON.parse(JSON.stringify(L.si)); var $ = L.auto; for (var G in S.setUnitSystem = function (e) { if (!Ze(L, e)) throw new Error("Unit system " + e + " does not exist. Choices are: " + Object.keys(L).join(", ")); $ = L[e] }, S.getUnitSystem = function () { for (var e in L) if (Ze(L, e) && L[e] === $) return e }, S.typeConverters = { BigNumber: function (e) { return new w(e + "") }, Fraction: function (e) { return new N(e) }, Complex: function (e) { return e }, number: function (e) { return e } }, S._getNumberConverter = function (e) { if (!S.typeConverters[e]) throw new TypeError('Unsupported type "' + e + '"'); return S.typeConverters[e] }, P) if (Ze(P, G)) { var V = P[G]; V.dimensions = V.base.dimensions } for (var Z in U) if (Ze(U, Z)) { var W = P[U[Z]], J = {}; for (var Y in W) Ze(W, Y) && (J[Y] = W[Y]); J.name = Z, P[Z] = J } return S.isValidAlpha = function (e) { return /^[a-zA-Z]$/.test(e) }, S.createUnit = function (e, t) { if ("object" !== Ka(e)) throw new TypeError("createUnit expects first parameter to be of type 'Object'"); if (t && t.override) for (var r in e) if (Ze(e, r) && S.deleteUnit(r), e[r].aliases) for (var n = 0; n < e[r].aliases.length; n++)S.deleteUnit(e[r].aliases[n]); var i; for (var a in e) Ze(e, a) && (i = S.createUnitSingle(a, e[a])); return i }, S.createUnitSingle = function (e, t, r) { if (null == t && (t = {}), "string" != typeof e) throw new TypeError("createUnitSingle expects first parameter to be of type 'string'"); if (Ze(P, e)) throw new Error('Cannot create unit "' + e + '": a unit with that name already exists'); !function (e) { for (var t = 0; t < e.length; t++) { if (n = e.charAt(t), 0 === t && !S.isValidAlpha(n)) throw new Error('Invalid unit name (must begin with alpha character): "' + e + '"'); if (t > 0 && !S.isValidAlpha(n) && !A(n)) throw new Error('Invalid unit name (only alphanumeric characters are allowed): "' + e + '"') } }(e); var i, a, o, s = null, u = [], c = 0; if (t && "Unit" === t.type) s = t.clone(); else if ("string" == typeof t) "" !== t && (i = t); else { if ("object" !== Ka(t)) throw new TypeError('Cannot create unit "' + e + '" from "' + t.toString() + '": expecting "string" or "Unit" or "Object"'); i = t.definition, a = t.prefixes, c = t.offset, o = t.baseName, t.aliases && (u = t.aliases.valueOf()) } if (u) for (var f = 0; f < u.length; f++)if (Ze(P, u[f])) throw new Error('Cannot create alias "' + u[f] + '": a unit with that name already exists'); if (i && "string" == typeof i && !s) try { s = S.parse(i, { allowNoUnits: !0 }) } catch (t) { throw t.message = 'Could not create unit "' + e + '" from "' + i + '": ' + t.message, t } else i && "Unit" === i.type && (s = i.clone()); u = u || [], c = c || 0, a = a && a.toUpperCase && I[a.toUpperCase()] || I.NONE; var l = {}; if (s) { l = { name: e, value: s.value, dimensions: s.dimensions.slice(0), prefixes: a, offset: c }; var p = !1; for (var m in D) if (Ze(D, m)) { for (var h = !0, d = 0; d < B.length; d++)if (Math.abs((l.dimensions[d] || 0) - (D[m].dimensions[d] || 0)) > 1e-12) { h = !1; break } if (h) { p = !0, l.base = D[m]; break } } if (!p) { o = o || e + "_STUFF"; var y = { dimensions: s.dimensions.slice(0) }; y.key = o, D[o] = y, $[o] = { unit: l, prefix: I.NONE[""] }, l.base = D[o] } } else { if (o = o || e + "_STUFF", B.indexOf(o) >= 0) throw new Error('Cannot create new base unit "' + e + '": a base unit with that name already exists (and cannot be overridden)'); for (var g in B.push(o), D) Ze(D, g) && (D[g].dimensions[B.length - 1] = 0); for (var v = { dimensions: [] }, x = 0; x < B.length; x++)v.dimensions[x] = 0; v.dimensions[B.length - 1] = 1, v.key = o, D[o] = v, l = { name: e, value: 1, dimensions: D[o].dimensions.slice(0), prefixes: a, offset: c, base: D[o] }, $[o] = { unit: l, prefix: I.NONE[""] } } S.UNITS[e] = l; for (var b = 0; b < u.length; b++) { var w = u[b], N = {}; for (var M in l) Ze(l, M) && (N[M] = l[M]); N.name = w, S.UNITS[w] = N } return new S(null, e) }, S.deleteUnit = function (e) { delete S.UNITS[e] }, S.PREFIXES = I, S.BASE_DIMENSIONS = B, S.BASE_UNITS = D, S.UNIT_SYSTEMS = L, S.UNITS = P, S }), { isClass: !0 }), ao = Je("unit", ["typed", "Unit"], (function (e) { var t = e.typed, r = e.Unit; return t("unit", { Unit: function (e) { return e.clone() }, string: function (e) { return r.isValuelessUnit(e) ? new r(null, e) : r.parse(e, { allowNoUnits: !0 }) }, "number | BigNumber | Fraction | Complex, string": function (e, t) { return new r(e, t) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), oo = Je("sparse", ["typed", "SparseMatrix"], (function (e) { var t = e.typed, r = e.SparseMatrix; return t("sparse", { "": function () { return new r([]) }, string: function (e) { return new r([], e) }, "Array | Matrix": function (e) { return new r(e) }, "Array | Matrix, string": function (e, t) { return new r(e, t) } }) })), so = Je("createUnit", ["typed", "Unit"], (function (e) { var t = e.typed, r = e.Unit; return t("createUnit", { "Object, Object": function (e, t) { return r.createUnit(e, t) }, Object: function (e) { return r.createUnit(e, {}) }, "string, Unit | string | Object, Object": function (e, t, n) { var i = {}; return i[e] = t, r.createUnit(i, n) }, "string, Unit | string | Object": function (e, t) { var n = {}; return n[e] = t, r.createUnit(n, {}) }, string: function (e) { var t = {}; return t[e] = {}, r.createUnit(t, {}) } }) })), uo = Je("acos", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("acos", { number: function (e) { return e >= -1 && e <= 1 || r.predictable ? Math.acos(e) : new n(e, 0).acos() }, Complex: function (e) { return e.acos() }, BigNumber: function (e) { return e.acos() }, "Array | Matrix": function (e) { return bt(e, this) } }) })); function co(e) { return se(e) } function fo(e) { return Math.atan(1 / e) } function lo(e) { return isFinite(e) ? (Math.log((e + 1) / e) + Math.log(e / (e - 1))) / 2 : 0 } function po(e) { return Math.asin(1 / e) } function mo(e) { var t = 1 / e; return Math.log(t + Math.sqrt(t * t + 1)) } function ho(e) { return Math.acos(1 / e) } function yo(e) { var t = 1 / e, r = Math.sqrt(t * t - 1); return Math.log(r + t) } function go(e) { return ue(e) } function vo(e) { return ce(e) } function xo(e) { return 1 / Math.tan(e) } function bo(e) { var t = Math.exp(2 * e); return (t + 1) / (t - 1) } function wo(e) { return 1 / Math.sin(e) } function No(e) { return 0 === e ? Number.POSITIVE_INFINITY : Math.abs(2 / (Math.exp(e) - Math.exp(-e))) * Z(e) } function Mo(e) { return 1 / Math.cos(e) } function So(e) { return 2 / (Math.exp(e) + Math.exp(-e)) } function Eo(e) { return le(e) } co.signature = "number", fo.signature = "number", lo.signature = "number", po.signature = "number", mo.signature = "number", ho.signature = "number", yo.signature = "number", go.signature = "number", vo.signature = "number", xo.signature = "number", bo.signature = "number", wo.signature = "number", No.signature = "number", Mo.signature = "number", So.signature = "number", Eo.signature = "number"; var Ao = Je("acosh", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("acosh", { number: function (e) { return e >= 1 || r.predictable ? co(e) : e <= -1 ? new n(Math.log(Math.sqrt(e * e - 1) - e), Math.PI) : new n(e, 0).acosh() }, Complex: function (e) { return e.acosh() }, BigNumber: function (e) { return e.acosh() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Oo = Je("acot", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("acot", { number: fo, Complex: function (e) { return e.acot() }, BigNumber: function (e) { return new r(1).div(e).atan() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Co = Je("acoth", ["typed", "config", "Complex", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.Complex, i = e.BigNumber; return t("acoth", { number: function (e) { return e >= 1 || e <= -1 || r.predictable ? lo(e) : new n(e, 0).acoth() }, Complex: function (e) { return e.acoth() }, BigNumber: function (e) { return new i(1).div(e).atanh() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), _o = Je("acsc", ["typed", "config", "Complex", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.Complex, i = e.BigNumber; return t("acsc", { number: function (e) { return e <= -1 || e >= 1 || r.predictable ? po(e) : new n(e, 0).acsc() }, Complex: function (e) { return e.acsc() }, BigNumber: function (e) { return new i(1).div(e).asin() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), To = Je("acsch", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("acsch", { number: mo, Complex: function (e) { return e.acsch() }, BigNumber: function (e) { return new r(1).div(e).asinh() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), qo = Je("asec", ["typed", "config", "Complex", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.Complex, i = e.BigNumber; return t("asec", { number: function (e) { return e <= -1 || e >= 1 || r.predictable ? ho(e) : new n(e, 0).asec() }, Complex: function (e) { return e.asec() }, BigNumber: function (e) { return new i(1).div(e).acos() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), zo = Je("asech", ["typed", "config", "Complex", "BigNumber"], (function (e) { var t = e.typed, r = e.config, n = e.Complex, i = e.BigNumber; return t("asech", { number: function (e) { if (e <= 1 && e >= -1 || r.predictable) { var t = 1 / e; if (t > 0 || r.predictable) return yo(e); var i = Math.sqrt(t * t - 1); return new n(Math.log(i - t), Math.PI) } return new n(e, 0).asech() }, Complex: function (e) { return e.asech() }, BigNumber: function (e) { return new i(1).div(e).acosh() }, "Array | Matrix": function (e) { return bt(e, this) } }) })), ko = Je("asin", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("asin", { number: function (e) { return e >= -1 && e <= 1 || r.predictable ? Math.asin(e) : new n(e, 0).asin() }, Complex: function (e) { return e.asin() }, BigNumber: function (e) { return e.asin() }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Io = Je("asinh", ["typed"], (function (e) { return (0, e.typed)("asinh", { number: go, Complex: function (e) { return e.asinh() }, BigNumber: function (e) { return e.asinh() }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Bo = Je("atan", ["typed"], (function (e) { return (0, e.typed)("atan", { number: function (e) { return Math.atan(e) }, Complex: function (e) { return e.atan() }, BigNumber: function (e) { return e.atan() }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Do = Je("atan2", ["typed", "matrix", "equalScalar", "BigNumber", "DenseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.equalScalar, i = e.BigNumber, a = e.DenseMatrix, o = Ur({ typed: t, equalScalar: n }), s = Gr({ typed: t }), u = an({ typed: t, equalScalar: n }), c = Mr({ typed: t, equalScalar: n }), f = Zr({ typed: t, DenseMatrix: a }), l = jr({ typed: t }), p = Sr({ typed: t }); return t("atan2", { "number, number": Math.atan2, "BigNumber, BigNumber": function (e, t) { return i.atan2(e, t) }, "SparseMatrix, SparseMatrix": function (e, t) { return u(e, t, this, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, this, !0) }, "DenseMatrix, SparseMatrix": function (e, t) { return s(e, t, this, !1) }, "DenseMatrix, DenseMatrix": function (e, t) { return l(e, t, this) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "SparseMatrix, number | BigNumber": function (e, t) { return c(e, t, this, !1) }, "DenseMatrix, number | BigNumber": function (e, t) { return p(e, t, this, !1) }, "number | BigNumber, SparseMatrix": function (e, t) { return f(t, e, this, !0) }, "number | BigNumber, DenseMatrix": function (e, t) { return p(t, e, this, !0) }, "Array, number | BigNumber": function (e, t) { return p(r(e), t, this, !1).valueOf() }, "number | BigNumber, Array": function (e, t) { return p(r(t), e, this, !0).valueOf() } }) })), Ro = Je("atanh", ["typed", "config", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.Complex; return t("atanh", { number: function (e) { return e <= 1 && e >= -1 || r.predictable ? vo(e) : new n(e, 0).atanh() }, Complex: function (e) { return e.atanh() }, BigNumber: function (e) { return e.atanh() }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), jo = Je("cos", ["typed"], (function (e) { return (0, e.typed)("cos", { number: Math.cos, Complex: function (e) { return e.cos() }, BigNumber: function (e) { return e.cos() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function cos is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Po = Je("cosh", ["typed"], (function (e) { return (0, e.typed)("cosh", { number: fe, Complex: function (e) { return e.cosh() }, BigNumber: function (e) { return e.cosh() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function cosh is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Uo = Je("cot", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("cot", { number: xo, Complex: function (e) { return e.cot() }, BigNumber: function (e) { return new r(1).div(e.tan()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function cot is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Fo = Je("coth", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("coth", { number: bo, Complex: function (e) { return e.coth() }, BigNumber: function (e) { return new r(1).div(e.tanh()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function coth is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Lo = Je("csc", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("csc", { number: wo, Complex: function (e) { return e.csc() }, BigNumber: function (e) { return new r(1).div(e.sin()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function csc is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Ho = Je("csch", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("csch", { number: No, Complex: function (e) { return e.csch() }, BigNumber: function (e) { return new r(1).div(e.sinh()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function csch is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), $o = Je("sec", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("sec", { number: Mo, Complex: function (e) { return e.sec() }, BigNumber: function (e) { return new r(1).div(e.cos()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function sec is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Go = Je("sech", ["typed", "BigNumber"], (function (e) { var t = e.typed, r = e.BigNumber; return t("sech", { number: So, Complex: function (e) { return e.sech() }, BigNumber: function (e) { return new r(1).div(e.cosh()) }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function sech is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), Vo = Je("sin", ["typed"], (function (e) { return (0, e.typed)("sin", { number: Math.sin, Complex: function (e) { return e.sin() }, BigNumber: function (e) { return e.sin() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function sin is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Zo = Je("sinh", ["typed"], (function (e) { return (0, e.typed)("sinh", { number: Eo, Complex: function (e) { return e.sinh() }, BigNumber: function (e) { return e.sinh() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function sinh is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Wo = Je("tan", ["typed"], (function (e) { return (0, e.typed)("tan", { number: Math.tan, Complex: function (e) { return e.tan() }, BigNumber: function (e) { return e.tan() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function tan is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Jo = Je("tanh", ["typed"], (function (e) { return (0, e.typed)("tanh", { number: pe, Complex: function (e) { return e.tanh() }, BigNumber: function (e) { return e.tanh() }, Unit: function (e) { if (!e.hasBase(e.constructor.BASE_UNITS.ANGLE)) throw new TypeError("Unit in function tanh is no angle"); return this(e.value) }, "Array | Matrix": function (e) { return bt(e, this, !0) } }) })), Yo = Je("setCartesian", ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index, o = e.DenseMatrix; return t("setCartesian", { "Array | Matrix, Array | Matrix": function (e, t) { var s = []; if (0 !== n(r(e), new a(0)) && 0 !== n(r(t), new a(0))) { var u = Te(Array.isArray(e) ? e : e.toArray()).sort(i), c = Te(Array.isArray(t) ? t : t.toArray()).sort(i); s = []; for (var f = 0; f < u.length; f++)for (var l = 0; l < c.length; l++)s.push([u[f], c[l]]) } return Array.isArray(e) && Array.isArray(t) ? s : new o(s) } }) })), Xo = Je("setDifference", ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index, o = e.DenseMatrix; return t("setDifference", { "Array | Matrix, Array | Matrix": function (e, t) { var s; if (0 === n(r(e), new a(0))) s = []; else { if (0 === n(r(t), new a(0))) return Te(e.toArray()); var u, c = De(Te(Array.isArray(e) ? e : e.toArray()).sort(i)), f = De(Te(Array.isArray(t) ? t : t.toArray()).sort(i)); s = []; for (var l = 0; l < c.length; l++) { u = !1; for (var p = 0; p < f.length; p++)if (0 === i(c[l].value, f[p].value) && c[l].identifier === f[p].identifier) { u = !0; break } u || s.push(c[l]) } } return Array.isArray(e) && Array.isArray(t) ? Re(s) : new o(Re(s)) } }) })), Qo = Je("setDistinct", ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index, o = e.DenseMatrix; return t("setDistinct", { "Array | Matrix": function (e) { var t; if (0 === n(r(e), new a(0))) t = []; else { var s = Te(Array.isArray(e) ? e : e.toArray()).sort(i); (t = []).push(s[0]); for (var u = 1; u < s.length; u++)0 !== i(s[u], s[u - 1]) && t.push(s[u]) } return Array.isArray(e) ? t : new o(t) } }) })), Ko = Je("setIntersect", ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index, o = e.DenseMatrix; return t("setIntersect", { "Array | Matrix, Array | Matrix": function (e, t) { var s; if (0 === n(r(e), new a(0)) || 0 === n(r(t), new a(0))) s = []; else { var u = De(Te(Array.isArray(e) ? e : e.toArray()).sort(i)), c = De(Te(Array.isArray(t) ? t : t.toArray()).sort(i)); s = []; for (var f = 0; f < u.length; f++)for (var l = 0; l < c.length; l++)if (0 === i(u[f].value, c[l].value) && u[f].identifier === c[l].identifier) { s.push(u[f]); break } } return Array.isArray(e) && Array.isArray(t) ? Re(s) : new o(Re(s)) } }) })), es = Je("setIsSubset", ["typed", "size", "subset", "compareNatural", "Index"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index; return t("setIsSubset", { "Array | Matrix, Array | Matrix": function (e, t) { if (0 === n(r(e), new a(0))) return !0; if (0 === n(r(t), new a(0))) return !1; for (var o, s = De(Te(Array.isArray(e) ? e : e.toArray()).sort(i)), u = De(Te(Array.isArray(t) ? t : t.toArray()).sort(i)), c = 0; c < s.length; c++) { o = !1; for (var f = 0; f < u.length; f++)if (0 === i(s[c].value, u[f].value) && s[c].identifier === u[f].identifier) { o = !0; break } if (!1 === o) return !1 } return !0 } }) })), ts = Je("setMultiplicity", ["typed", "size", "subset", "compareNatural", "Index"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index; return t("setMultiplicity", { "number | BigNumber | Fraction | Complex, Array | Matrix": function (e, t) { if (0 === n(r(t), new a(0))) return 0; for (var o = Te(Array.isArray(t) ? t : t.toArray()), s = 0, u = 0; u < o.length; u++)0 === i(o[u], e) && s++; return s } }) })), rs = Je("setPowerset", ["typed", "size", "subset", "compareNatural", "Index"], (function (e) { var t = e.typed, r = e.size, n = e.subset, i = e.compareNatural, a = e.Index; return t("setPowerset", { "Array | Matrix": function (e) { if (0 === n(r(e), new a(0))) return []; for (var t = Te(Array.isArray(e) ? e : e.toArray()).sort(i), s = [], u = 0; u.toString(2).length <= t.length;)s.push(o(t, u.toString(2).split("").reverse())), u++; return function (e) { for (var t = [], r = e.length - 1; r > 0; r--)for (var n = 0; n < r; n++)e[n].length > e[n + 1].length && (t = e[n], e[n] = e[n + 1], e[n + 1] = t); return e }(s) } }); function o(e, t) { for (var r = [], n = 0; n < t.length; n++)"1" === t[n] && r.push(e[n]); return r } })), ns = Je("setSize", ["typed", "compareNatural"], (function (e) { var t = e.typed, r = e.compareNatural; return t("setSize", { "Array | Matrix": function (e) { return Array.isArray(e) ? Te(e).length : Te(e.toArray()).length }, "Array | Matrix, boolean": function (e, t) { if (!1 === t || 0 === e.length) return Array.isArray(e) ? Te(e).length : Te(e.toArray()).length; for (var n = Te(Array.isArray(e) ? e : e.toArray()).sort(r), i = 1, a = 1; a < n.length; a++)0 !== r(n[a], n[a - 1]) && i++; return i } }) })), is = Je("setSymDifference", ["typed", "size", "concat", "subset", "setDifference", "Index"], (function (e) { var t = e.typed, r = e.size, n = e.concat, i = e.subset, a = e.setDifference, o = e.Index; return t("setSymDifference", { "Array | Matrix, Array | Matrix": function (e, t) { if (0 === i(r(e), new o(0))) return Te(t); if (0 === i(r(t), new o(0))) return Te(e); var s = Te(e), u = Te(t); return n(a(s, u), a(u, s)) } }) })), as = Je("setUnion", ["typed", "size", "concat", "subset", "setIntersect", "setSymDifference", "Index"], (function (e) { var t = e.typed, r = e.size, n = e.concat, i = e.subset, a = e.setIntersect, o = e.setSymDifference, s = e.Index; return t("setUnion", { "Array | Matrix, Array | Matrix": function (e, t) { if (0 === i(r(e), new s(0))) return Te(t); if (0 === i(r(t), new s(0))) return Te(e); var u = Te(e), c = Te(t); return n(o(u, c), a(u, c)) } }) })), os = Je("add", ["typed", "matrix", "addScalar", "equalScalar", "DenseMatrix", "SparseMatrix"], (function (e) { var t = e.typed, r = e.matrix, n = e.addScalar, i = e.equalScalar, a = e.DenseMatrix, o = (e.SparseMatrix, Br({ typed: t })), s = Dr({ typed: t, equalScalar: i }), u = Rr({ typed: t, DenseMatrix: a }), c = jr({ typed: t }), f = Sr({ typed: t }); return t("add", He({ "DenseMatrix, DenseMatrix": function (e, t) { return c(e, t, n) }, "DenseMatrix, SparseMatrix": function (e, t) { return o(e, t, n, !1) }, "SparseMatrix, DenseMatrix": function (e, t) { return o(t, e, n, !0) }, "SparseMatrix, SparseMatrix": function (e, t) { return s(e, t, n) }, "Array, Array": function (e, t) { return this(r(e), r(t)).valueOf() }, "Array, Matrix": function (e, t) { return this(r(e), t) }, "Matrix, Array": function (e, t) { return this(e, r(t)) }, "DenseMatrix, any": function (e, t) { return f(e, t, n, !1) }, "SparseMatrix, any": function (e, t) { return u(e, t, n, !1) }, "any, DenseMatrix": function (e, t) { return f(t, e, n, !0) }, "any, SparseMatrix": function (e, t) { return u(t, e, n, !0) }, "Array, any": function (e, t) { return f(r(e), t, n, !1).valueOf() }, "any, Array": function (e, t) { return f(r(t), e, n, !0).valueOf() }, "any, any": n, "any, any, ...any": function (e, t, r) { for (var n = this(e, t), i = 0; i < r.length; i++)n = this(n, r[i]); return n } }, n.signatures)) })), ss = Je("hypot", ["typed", "abs", "addScalar", "divideScalar", "multiplyScalar", "sqrt", "smaller", "isPositive"], (function (e) { var t = e.typed, r = e.abs, n = e.addScalar, i = e.divideScalar, a = e.multiplyScalar, o = e.sqrt, s = e.smaller, u = e.isPositive; return t("hypot", { "... number | BigNumber": function (e) { for (var t = 0, c = 0, f = 0; f < e.length; f++) { var l = r(e[f]); s(c, l) ? (t = a(t, a(i(c, l), i(c, l))), t = n(t, 1), c = l) : t = n(t, u(l) ? a(i(l, c), i(l, c)) : l) } return a(c, o(t)) }, Array: function (e) { return this.apply(this, Te(e)) }, Matrix: function (e) { return this.apply(this, Te(e.toArray())) } }) })), us = Je("norm", ["typed", "abs", "add", "pow", "conj", "sqrt", "multiply", "equalScalar", "larger", "smaller", "matrix", "ctranspose", "eigs"], (function (e) { var t = e.typed, r = e.abs, n = e.add, i = e.pow, a = e.conj, o = e.sqrt, s = e.multiply, u = e.equalScalar, c = e.larger, f = e.smaller, l = e.matrix, p = e.ctranspose, m = e.eigs; return t("norm", { number: Math.abs, Complex: function (e) { return e.abs() }, BigNumber: function (e) { return e.abs() }, boolean: function (e) { return Math.abs(e) }, Array: function (e) { return y(l(e), 2) }, Matrix: function (e) { return y(e, 2) }, "number | Complex | BigNumber | boolean, number | BigNumber | string": function (e) { return this(e) }, "Array, number | BigNumber | string": function (e, t) { return y(l(e), t) }, "Matrix, number | BigNumber | string": function (e, t) { return y(e, t) } }); function h(e, t) { if (t === Number.POSITIVE_INFINITY || "inf" === t) return function (e) { var t = 0; return e.forEach((function (e) { var n = r(e); c(n, t) && (t = n) }), !0), t }(e); if (t === Number.NEGATIVE_INFINITY || "-inf" === t) return function (e) { var t; return e.forEach((function (e) { var n = r(e); t && !f(n, t) || (t = n) }), !0), t || 0 }(e); if ("fro" === t) return y(e, 2); if ("number" == typeof t && !isNaN(t)) { if (!u(t, 0)) { var a = 0; return e.forEach((function (e) { a = n(i(r(e), t), a) }), !0), i(a, 1 / t) } return Number.POSITIVE_INFINITY } throw new Error("Unsupported parameter value") } function d(e, t) { if (1 === t) return function (e) { var t = [], i = 0; return e.forEach((function (e, a) { var o = a[1], s = n(t[o] || 0, r(e)); c(s, i) && (i = s), t[o] = s }), !0), i }(e); if (t === Number.POSITIVE_INFINITY || "inf" === t) return function (e) { var t = [], i = 0; return e.forEach((function (e, a) { var o = a[0], s = n(t[o] || 0, r(e)); c(s, i) && (i = s), t[o] = s }), !0), i }(e); if ("fro" === t) return function (e) { var t = 0; return e.forEach((function (e, r) { t = n(t, s(e, a(e))) })), r(o(t)) }(e); if (2 === t) return function (e) { var t = e.size(); if (t[0] !== t[1]) throw new RangeError("Invalid matrix dimensions"); var n = p(e), i = s(n, e), a = m(i).values, u = a.get([a.size()[0] - 1]); return r(o(u)) }(e); throw new Error("Unsupported parameter value " + t) } function y(e, t) { var r = e.size(); if (1 === r.length) return h(e, t); if (2 === r.length) { if (r[0] && r[1]) return d(e, t); throw new RangeError("Invalid matrix dimensions") } } })), cs = Je("dot", ["typed", "addScalar", "multiplyScalar", "conj", "size"], (function (e) { var t = e.typed, r = e.addScalar, n = e.multiplyScalar, i = e.conj, a = e.size; return t("dot", { "Array | DenseMatrix, Array | DenseMatrix": function (e, a) { var u = o(e, a), c = p(e) ? e._data : e, f = p(e) ? e._datatype : void 0, l = p(a) ? a._data : a, m = p(a) ? a._datatype : void 0, h = 2 === s(e).length, d = 2 === s(a).length, y = r, g = n; if (f && m && f === m && "string" == typeof f) { var v = f; y = t.find(r, [v, v]), g = t.find(n, [v, v]) } if (!h && !d) { for (var x = g(i(c[0]), l[0]), b = 1; b < u; b++)x = y(x, g(i(c[b]), l[b])); return x } if (!h && d) { for (var w = g(i(c[0]), l[0][0]), N = 1; N < u; N++)w = y(w, g(i(c[N]), l[N][0])); return w } if (h && !d) { for (var M = g(i(c[0][0]), l[0]), S = 1; S < u; S++)M = y(M, g(i(c[S][0]), l[S])); return M } if (h && d) { for (var E = g(i(c[0][0]), l[0][0]), A = 1; A < u; A++)E = y(E, g(i(c[A][0]), l[A][0])); return E } }, "SparseMatrix, SparseMatrix": function (e, t) { o(e, t); var i = e._index, a = e._values, s = t._index, u = t._values, c = 0, f = r, l = n, p = 0, m = 0; for (; p < i.length && m < s.length;) { var h = i[p], d = s[m]; h < d ? p++ : h > d ? m++ : h === d && (c = f(c, l(a[p], u[m])), p++, m++) } return c } }); function o(e, t) { var r, n, i = s(e), a = s(t); if (1 === i.length) r = i[0]; else { if (2 !== i.length || 1 !== i[1]) throw new RangeError("Expected a column vector, instead got a matrix of size (" + i.join(", ") + ")"); r = i[0] } if (1 === a.length) n = a[0]; else { if (2 !== a.length || 1 !== a[1]) throw new RangeError("Expected a column vector, instead got a matrix of size (" + a.join(", ") + ")"); n = a[0] } if (r !== n) throw new RangeError("Vectors must have equal length (" + r + " != " + n + ")"); if (0 === r) throw new RangeError("Cannot calculate the dot product of empty vectors"); return r } function s(e) { return p(e) ? e.size() : a(e) } })), fs = Je("trace", ["typed", "matrix", "add"], (function (e) { var t = e.typed, r = e.matrix, n = e.add; return t("trace", { Array: function (e) { return i(r(e)) }, SparseMatrix: function (e) { var t = e._values, r = e._index, i = e._ptr, a = e._size, o = a[0], s = a[1]; if (o === s) { var u = 0; if (t.length > 0) for (var c = 0; c < s; c++)for (var f = i[c], l = i[c + 1], p = f; p < l; p++) { var m = r[p]; if (m === c) { u = n(u, t[p]); break } if (m > c) break } return u } throw new RangeError("Matrix must be square (size: " + ge(a) + ")") }, DenseMatrix: i, any: Fe }); function i(e) { var t = e._size, r = e._data; switch (t.length) { case 1: if (1 === t[0]) return Fe(r[0]); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); case 2: var i = t[0]; if (i === t[1]) { for (var a = 0, o = 0; o < i; o++)a = n(a, r[o][o]); return a } throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); default: throw new RangeError("Matrix must be two dimensional (size: " + ge(t) + ")") } } })), ls = Je("index", ["typed", "Index"], (function (e) { var t = e.typed, r = e.Index; return t("index", { "...number | string | BigNumber | Range | Array | Matrix": function (e) { var t = e.map((function (e) { return o(e) ? e.toNumber() : Array.isArray(e) || p(e) ? e.map((function (e) { return o(e) ? e.toNumber() : e })) : e })), n = new r; return r.apply(n, t), n } }) })), ps = { end: !0 }; function ms(e) { return (ms = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } var hs = Je("Node", ["mathWithTransform"], (function (e) { var t = e.mathWithTransform; function r() { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator") } return r.prototype.evaluate = function (e) { return this.compile().evaluate(e) }, r.prototype.type = "Node", r.prototype.isNode = !0, r.prototype.comment = "", r.prototype.compile = function () { var e = this._compile(t, {}), r = {}; return { evaluate: function (t) { var n = t || {}; return function (e) { for (var t in e) if (Ze(e, t) && t in ps) throw new Error('Scope contains an illegal symbol, "' + t + '" is a reserved keyword') }(n), e(n, r, null) } } }, r.prototype._compile = function (e, t) { throw new Error("Method _compile should be implemented by type " + this.type) }, r.prototype.forEach = function (e) { throw new Error("Cannot run forEach on a Node interface") }, r.prototype.map = function (e) { throw new Error("Cannot run map on a Node interface") }, r.prototype._ifNode = function (e) { if (!D(e)) throw new TypeError("Callback function must return a Node"); return e }, r.prototype.traverse = function (e) { e(this, null, null), function e(t, r) { t.forEach((function (t, n, i) { r(t, n, i), e(t, r) })) }(this, e) }, r.prototype.transform = function (e) { return function t(r, n, i) { var a = e(r, n, i); return a !== r ? a : r.map(t) }(this, null, null) }, r.prototype.filter = function (e) { var t = []; return this.traverse((function (r, n, i) { e(r, n, i) && t.push(r) })), t }, r.prototype.clone = function () { throw new Error("Cannot clone a Node interface") }, r.prototype.cloneDeep = function () { return this.map((function (e) { return e.cloneDeep() })) }, r.prototype.equals = function (e) { return !!e && $e(this, e) }, r.prototype.toString = function (e) { var t; if (e && "object" === ms(e)) switch (ms(e.handler)) { case "object": case "undefined": break; case "function": t = e.handler(this, e); break; default: throw new TypeError("Object or function expected as callback") }return void 0 !== t ? t : this._toString(e) }, r.prototype.toJSON = function () { throw new Error("Cannot serialize object: toJSON not implemented by " + this.type) }, r.prototype.toHTML = function (e) { var t; if (e && "object" === ms(e)) switch (ms(e.handler)) { case "object": case "undefined": break; case "function": t = e.handler(this, e); break; default: throw new TypeError("Object or function expected as callback") }return void 0 !== t ? t : this.toHTML(e) }, r.prototype._toString = function () { throw new Error("_toString not implemented for " + this.type) }, r.prototype.toTex = function (e) { var t; if (e && "object" === ms(e)) switch (ms(e.handler)) { case "object": case "undefined": break; case "function": t = e.handler(this, e); break; default: throw new TypeError("Object or function expected as callback") }return void 0 !== t ? t : this._toTex(e) }, r.prototype._toTex = function (e) { throw new Error("_toTex not implemented for " + this.type) }, r.prototype.getIdentifier = function () { return this.type }, r.prototype.getContent = function () { return this }, r }), { isClass: !0, isNode: !0 }); function ds(e) { return e && e.isIndexError ? new Ne(e.index + 1, e.min + 1, void 0 !== e.max ? e.max + 1 : void 0) : e } function ys(e) { return (ys = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } function gs(e) { var t = e.subset; return function (e, r) { try { if (Array.isArray(e)) return t(e, r); if (e && "function" == typeof e.subset) return e.subset(r); if ("string" == typeof e) return t(e, r); if ("object" === ys(e)) { if (!r.isObjectProperty()) throw new TypeError("Cannot apply a numeric index as object property"); return vi(e, r.getObjectProperty()) } throw new TypeError("Cannot apply index: unsupported type of object") } catch (e) { throw ds(e) } } } var vs = Je("AccessorNode", ["subset", "Node"], (function (e) { var t = e.subset, r = e.Node, n = gs({ subset: t }); function i(e, t) { if (!(this instanceof i)) throw new SyntaxError("Constructor must be called with the new operator"); if (!D(e)) throw new TypeError('Node expected for parameter "object"'); if (!B(t)) throw new TypeError('IndexNode expected for parameter "index"'); this.object = e || null, this.index = t, Object.defineProperty(this, "name", { get: function () { return this.index ? this.index.isObjectProperty() ? this.index.getObjectProperty() : "" : this.object.name || "" }.bind(this), set: function () { throw new Error("Cannot assign a new name, name is read-only") } }) } function a(e) { return !(O(e) || C(e) || z(e) || I(e) || R(e) || P(e) || F(e)) } return i.prototype = new r, i.prototype.type = "AccessorNode", i.prototype.isAccessorNode = !0, i.prototype._compile = function (e, t) { var r = this.object._compile(e, t), i = this.index._compile(e, t); if (this.index.isObjectProperty()) { var a = this.index.getObjectProperty(); return function (e, t, n) { return vi(r(e, t, n), a) } } return function (e, t, a) { var o = r(e, t, a), s = i(e, t, o); return n(o, s) } }, i.prototype.forEach = function (e) { e(this.object, "object", this), e(this.index, "index", this) }, i.prototype.map = function (e) { return new i(this._ifNode(e(this.object, "object", this)), this._ifNode(e(this.index, "index", this))) }, i.prototype.clone = function () { return new i(this.object, this.index) }, i.prototype._toString = function (e) { var t = this.object.toString(e); return a(this.object) && (t = "(" + t + ")"), t + this.index.toString(e) }, i.prototype.toHTML = function (e) { var t = this.object.toHTML(e); return a(this.object) && (t = '(' + t + ')'), t + this.index.toHTML(e) }, i.prototype._toTex = function (e) { var t = this.object.toTex(e); return a(this.object) && (t = "\\left(' + object + '\\right)"), t + this.index.toTex(e) }, i.prototype.toJSON = function () { return { mathjs: "AccessorNode", object: this.object, index: this.index } }, i.fromJSON = function (e) { return new i(e.object, e.index) }, i }), { isClass: !0, isNode: !0 }), xs = Je("ArrayNode", ["Node"], (function (e) { var t = e.Node; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (this.items = e || [], !Array.isArray(this.items) || !this.items.every(D)) throw new TypeError("Array containing Nodes expected") } return r.prototype = new t, r.prototype.type = "ArrayNode", r.prototype.isArrayNode = !0, r.prototype._compile = function (e, t) { var r = qe(this.items, (function (r) { return r._compile(e, t) })); if ("Array" !== e.config.matrix) { var n = e.matrix; return function (e, t, i) { return n(qe(r, (function (r) { return r(e, t, i) }))) } } return function (e, t, n) { return qe(r, (function (r) { return r(e, t, n) })) } }, r.prototype.forEach = function (e) { for (var t = 0; t < this.items.length; t++) { e(this.items[t], "items[" + t + "]", this) } }, r.prototype.map = function (e) { for (var t = [], n = 0; n < this.items.length; n++)t[n] = this._ifNode(e(this.items[n], "items[" + n + "]", this)); return new r(t) }, r.prototype.clone = function () { return new r(this.items.slice(0)) }, r.prototype._toString = function (e) { return "[" + this.items.map((function (t) { return t.toString(e) })).join(", ") + "]" }, r.prototype.toJSON = function () { return { mathjs: "ArrayNode", items: this.items } }, r.fromJSON = function (e) { return new r(e.items) }, r.prototype.toHTML = function (e) { return '[' + this.items.map((function (t) { return t.toHTML(e) })).join(',') + ']' }, r.prototype._toTex = function (e) { var t = "\\begin{bmatrix}"; return this.items.forEach((function (r) { r.items ? t += r.items.map((function (t) { return t.toTex(e) })).join("&") : t += r.toTex(e), t += "\\\\" })), t += "\\end{bmatrix}" }, r }), { isClass: !0, isNode: !0 }); function bs(e) { return (bs = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } var ws = [{ AssignmentNode: {}, FunctionAssignmentNode: {} }, { ConditionalNode: { latexLeftParens: !1, latexRightParens: !1, latexParens: !1 } }, { "OperatorNode:or": { associativity: "left", associativeWith: [] } }, { "OperatorNode:xor": { associativity: "left", associativeWith: [] } }, { "OperatorNode:and": { associativity: "left", associativeWith: [] } }, { "OperatorNode:bitOr": { associativity: "left", associativeWith: [] } }, { "OperatorNode:bitXor": { associativity: "left", associativeWith: [] } }, { "OperatorNode:bitAnd": { associativity: "left", associativeWith: [] } }, { "OperatorNode:equal": { associativity: "left", associativeWith: [] }, "OperatorNode:unequal": { associativity: "left", associativeWith: [] }, "OperatorNode:smaller": { associativity: "left", associativeWith: [] }, "OperatorNode:larger": { associativity: "left", associativeWith: [] }, "OperatorNode:smallerEq": { associativity: "left", associativeWith: [] }, "OperatorNode:largerEq": { associativity: "left", associativeWith: [] }, RelationalNode: { associativity: "left", associativeWith: [] } }, { "OperatorNode:leftShift": { associativity: "left", associativeWith: [] }, "OperatorNode:rightArithShift": { associativity: "left", associativeWith: [] }, "OperatorNode:rightLogShift": { associativity: "left", associativeWith: [] } }, { "OperatorNode:to": { associativity: "left", associativeWith: [] } }, { RangeNode: {} }, { "OperatorNode:add": { associativity: "left", associativeWith: ["OperatorNode:add", "OperatorNode:subtract"] }, "OperatorNode:subtract": { associativity: "left", associativeWith: [] } }, { "OperatorNode:multiply": { associativity: "left", associativeWith: ["OperatorNode:multiply", "OperatorNode:divide", "Operator:dotMultiply", "Operator:dotDivide"] }, "OperatorNode:divide": { associativity: "left", associativeWith: [], latexLeftParens: !1, latexRightParens: !1, latexParens: !1 }, "OperatorNode:dotMultiply": { associativity: "left", associativeWith: ["OperatorNode:multiply", "OperatorNode:divide", "OperatorNode:dotMultiply", "OperatorNode:doDivide"] }, "OperatorNode:dotDivide": { associativity: "left", associativeWith: [] }, "OperatorNode:mod": { associativity: "left", associativeWith: [] } }, { "OperatorNode:unaryPlus": { associativity: "right" }, "OperatorNode:unaryMinus": { associativity: "right" }, "OperatorNode:bitNot": { associativity: "right" }, "OperatorNode:not": { associativity: "right" } }, { "OperatorNode:pow": { associativity: "right", associativeWith: [], latexRightParens: !1 }, "OperatorNode:dotPow": { associativity: "right", associativeWith: [] } }, { "OperatorNode:factorial": { associativity: "left" } }, { "OperatorNode:transpose": { associativity: "left" } }]; function Ns(e, t) { var r = e; "keep" !== t && (r = e.getContent()); for (var n = r.getIdentifier(), i = 0; i < ws.length; i++)if (n in ws[i]) return i; return null } function Ms(e, t) { var r = e; "keep" !== t && (r = e.getContent()); var n = r.getIdentifier(), i = Ns(r, t); if (null === i) return null; var a = ws[i][n]; if (Ze(a, "associativity")) { if ("left" === a.associativity) return "left"; if ("right" === a.associativity) return "right"; throw Error("'" + n + "' has the invalid associativity '" + a.associativity + "'.") } return null } function Ss(e, t, r) { var n = "keep" !== r ? e.getContent() : e, i = "keep" !== r ? e.getContent() : t, a = n.getIdentifier(), o = i.getIdentifier(), s = Ns(n, r); if (null === s) return null; var u = ws[s][a]; if (Ze(u, "associativeWith") && u.associativeWith instanceof Array) { for (var c = 0; c < u.associativeWith.length; c++)if (u.associativeWith[c] === o) return !0; return !1 } return null } var Es = Je("AssignmentNode", ["subset", "?matrix", "Node"], (function (e) { var t = e.subset, r = e.matrix, n = e.Node, i = gs({ subset: t }), a = function (e) { var t = e.subset, r = e.matrix; return function (e, n, i) { try { if (Array.isArray(e)) return r(e).subset(n, i).valueOf(); if (e && "function" == typeof e.subset) return e.subset(n, i); if ("string" == typeof e) return t(e, n, i); if ("object" === bs(e)) { if (!n.isObjectProperty()) throw TypeError("Cannot apply a numeric index as object property"); return xi(e, n.getObjectProperty(), i), e } throw new TypeError("Cannot apply index: unsupported type of object") } catch (e) { throw ds(e) } } }({ subset: t, matrix: r }); function o(e, t, r) { if (!(this instanceof o)) throw new SyntaxError("Constructor must be called with the new operator"); if (this.object = e, this.index = r ? t : null, this.value = r || t, !F(e) && !O(e)) throw new TypeError('SymbolNode or AccessorNode expected as "object"'); if (F(e) && "end" === e.name) throw new Error('Cannot assign to symbol "end"'); if (this.index && !B(this.index)) throw new TypeError('IndexNode expected as "index"'); if (!D(this.value)) throw new TypeError('Node expected as "value"'); Object.defineProperty(this, "name", { get: function () { return this.index ? this.index.isObjectProperty() ? this.index.getObjectProperty() : "" : this.object.name || "" }.bind(this), set: function () { throw new Error("Cannot assign a new name, name is read-only") } }) } function s(e, t) { t || (t = "keep"); var r = Ns(e, t), n = Ns(e.value, t); return "all" === t || null !== n && n <= r } return o.prototype = new n, o.prototype.type = "AssignmentNode", o.prototype.isAssignmentNode = !0, o.prototype._compile = function (e, t) { var r = this.object._compile(e, t), n = this.index ? this.index._compile(e, t) : null, o = this.value._compile(e, t), s = this.object.name; if (this.index) { if (this.index.isObjectProperty()) { var u = this.index.getObjectProperty(); return function (e, t, n) { var i = r(e, t, n), a = o(e, t, n); return xi(i, u, a) } } if (F(this.object)) return function (e, t, i) { var u = r(e, t, i), c = o(e, t, i), f = n(e, t, u); return xi(e, s, a(u, f, c)), c }; var c = this.object.object._compile(e, t); if (this.object.index.isObjectProperty()) { var f = this.object.index.getObjectProperty(); return function (e, t, r) { var i = c(e, t, r), s = vi(i, f), u = n(e, t, s), l = o(e, t, r); return xi(i, f, a(s, u, l)), l } } var l = this.object.index._compile(e, t); return function (e, t, r) { var s = c(e, t, r), u = l(e, t, s), f = i(s, u), p = n(e, t, f), m = o(e, t, r); return a(s, u, a(f, p, m)), m } } if (!F(this.object)) throw new TypeError("SymbolNode expected as object"); return function (e, t, r) { return xi(e, s, o(e, t, r)) } }, o.prototype.forEach = function (e) { e(this.object, "object", this), this.index && e(this.index, "index", this), e(this.value, "value", this) }, o.prototype.map = function (e) { return new o(this._ifNode(e(this.object, "object", this)), this.index ? this._ifNode(e(this.index, "index", this)) : null, this._ifNode(e(this.value, "value", this))) }, o.prototype.clone = function () { return new o(this.object, this.index, this.value) }, o.prototype._toString = function (e) { var t = this.object.toString(e), r = this.index ? this.index.toString(e) : "", n = this.value.toString(e); return s(this, e && e.parenthesis) && (n = "(" + n + ")"), t + r + " = " + n }, o.prototype.toJSON = function () { return { mathjs: "AssignmentNode", object: this.object, index: this.index, value: this.value } }, o.fromJSON = function (e) { return new o(e.object, e.index, e.value) }, o.prototype.toHTML = function (e) { var t = this.object.toHTML(e), r = this.index ? this.index.toHTML(e) : "", n = this.value.toHTML(e); return s(this, e && e.parenthesis) && (n = '(' + n + ')'), t + r + '=' + n }, o.prototype._toTex = function (e) { var t = this.object.toTex(e), r = this.index ? this.index.toTex(e) : "", n = this.value.toTex(e); return s(this, e && e.parenthesis) && (n = "\\left(".concat(n, "\\right)")), t + r + ":=" + n }, o }), { isClass: !0, isNode: !0 }), As = Je("BlockNode", ["ResultSet", "Node"], (function (e) { var t = e.ResultSet, r = e.Node; function n(e) { if (!(this instanceof n)) throw new SyntaxError("Constructor must be called with the new operator"); if (!Array.isArray(e)) throw new Error("Array expected"); this.blocks = e.map((function (e) { var t = e && e.node, r = !e || void 0 === e.visible || e.visible; if (!D(t)) throw new TypeError('Property "node" must be a Node'); if ("boolean" != typeof r) throw new TypeError('Property "visible" must be a boolean'); return { node: t, visible: r } })) } return n.prototype = new r, n.prototype.type = "BlockNode", n.prototype.isBlockNode = !0, n.prototype._compile = function (e, r) { var n = qe(this.blocks, (function (t) { return { evaluate: t.node._compile(e, r), visible: t.visible } })); return function (e, r, i) { var a = []; return ze(n, (function (t) { var n = t.evaluate(e, r, i); t.visible && a.push(n) })), new t(a) } }, n.prototype.forEach = function (e) { for (var t = 0; t < this.blocks.length; t++)e(this.blocks[t].node, "blocks[" + t + "].node", this) }, n.prototype.map = function (e) { for (var t = [], r = 0; r < this.blocks.length; r++) { var i = this.blocks[r], a = this._ifNode(e(i.node, "blocks[" + r + "].node", this)); t[r] = { node: a, visible: i.visible } } return new n(t) }, n.prototype.clone = function () { return new n(this.blocks.map((function (e) { return { node: e.node, visible: e.visible } }))) }, n.prototype._toString = function (e) { return this.blocks.map((function (t) { return t.node.toString(e) + (t.visible ? "" : ";") })).join("\n") }, n.prototype.toJSON = function () { return { mathjs: "BlockNode", blocks: this.blocks } }, n.fromJSON = function (e) { return new n(e.blocks) }, n.prototype.toHTML = function (e) { return this.blocks.map((function (t) { return t.node.toHTML(e) + (t.visible ? "" : ';') })).join('
') }, n.prototype._toTex = function (e) { return this.blocks.map((function (t) { return t.node.toTex(e) + (t.visible ? "" : ";") })).join("\\;\\;\n") }, n }), { isClass: !0, isNode: !0 }), Os = Je("ConditionalNode", ["Node"], (function (e) { var t = e.Node; function r(e, t, n) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (!D(e)) throw new TypeError("Parameter condition must be a Node"); if (!D(t)) throw new TypeError("Parameter trueExpr must be a Node"); if (!D(n)) throw new TypeError("Parameter falseExpr must be a Node"); this.condition = e, this.trueExpr = t, this.falseExpr = n } return r.prototype = new t, r.prototype.type = "ConditionalNode", r.prototype.isConditionalNode = !0, r.prototype._compile = function (e, t) { var r = this.condition._compile(e, t), n = this.trueExpr._compile(e, t), i = this.falseExpr._compile(e, t); return function (e, t, a) { return function (e) { if ("number" == typeof e || "boolean" == typeof e || "string" == typeof e) return !!e; if (e) { if (o(e)) return !e.isZero(); if (s(e)) return !(!e.re && !e.im); if (c(e)) return !!e.value } if (null == e) return !1; throw new TypeError('Unsupported type of condition "' + H(e) + '"') }(r(e, t, a)) ? n(e, t, a) : i(e, t, a) } }, r.prototype.forEach = function (e) { e(this.condition, "condition", this), e(this.trueExpr, "trueExpr", this), e(this.falseExpr, "falseExpr", this) }, r.prototype.map = function (e) { return new r(this._ifNode(e(this.condition, "condition", this)), this._ifNode(e(this.trueExpr, "trueExpr", this)), this._ifNode(e(this.falseExpr, "falseExpr", this))) }, r.prototype.clone = function () { return new r(this.condition, this.trueExpr, this.falseExpr) }, r.prototype._toString = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = Ns(this, t), n = this.condition.toString(e), i = Ns(this.condition, t); ("all" === t || "OperatorNode" === this.condition.type || null !== i && i <= r) && (n = "(" + n + ")"); var a = this.trueExpr.toString(e), o = Ns(this.trueExpr, t); ("all" === t || "OperatorNode" === this.trueExpr.type || null !== o && o <= r) && (a = "(" + a + ")"); var s = this.falseExpr.toString(e), u = Ns(this.falseExpr, t); return ("all" === t || "OperatorNode" === this.falseExpr.type || null !== u && u <= r) && (s = "(" + s + ")"), n + " ? " + a + " : " + s }, r.prototype.toJSON = function () { return { mathjs: "ConditionalNode", condition: this.condition, trueExpr: this.trueExpr, falseExpr: this.falseExpr } }, r.fromJSON = function (e) { return new r(e.condition, e.trueExpr, e.falseExpr) }, r.prototype.toHTML = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = Ns(this, t), n = this.condition.toHTML(e), i = Ns(this.condition, t); ("all" === t || "OperatorNode" === this.condition.type || null !== i && i <= r) && (n = '(' + n + ')'); var a = this.trueExpr.toHTML(e), o = Ns(this.trueExpr, t); ("all" === t || "OperatorNode" === this.trueExpr.type || null !== o && o <= r) && (a = '(' + a + ')'); var s = this.falseExpr.toHTML(e), u = Ns(this.falseExpr, t); return ("all" === t || "OperatorNode" === this.falseExpr.type || null !== u && u <= r) && (s = '(' + s + ')'), n + '?' + a + ':' + s }, r.prototype._toTex = function (e) { return "\\begin{cases} {" + this.trueExpr.toTex(e) + "}, &\\quad{\\text{if }\\;" + this.condition.toTex(e) + "}\\\\{" + this.falseExpr.toTex(e) + "}, &\\quad{\\text{otherwise}}\\end{cases}" }, r }), { isClass: !0, isNode: !0 }), Cs = r(11), _s = r.n(Cs), Ts = { Alpha: "A", alpha: "\\alpha", Beta: "B", beta: "\\beta", Gamma: "\\Gamma", gamma: "\\gamma", Delta: "\\Delta", delta: "\\delta", Epsilon: "E", epsilon: "\\epsilon", varepsilon: "\\varepsilon", Zeta: "Z", zeta: "\\zeta", Eta: "H", eta: "\\eta", Theta: "\\Theta", theta: "\\theta", vartheta: "\\vartheta", Iota: "I", iota: "\\iota", Kappa: "K", kappa: "\\kappa", varkappa: "\\varkappa", Lambda: "\\Lambda", lambda: "\\lambda", Mu: "M", mu: "\\mu", Nu: "N", nu: "\\nu", Xi: "\\Xi", xi: "\\xi", Omicron: "O", omicron: "o", Pi: "\\Pi", pi: "\\pi", varpi: "\\varpi", Rho: "P", rho: "\\rho", varrho: "\\varrho", Sigma: "\\Sigma", sigma: "\\sigma", varsigma: "\\varsigma", Tau: "T", tau: "\\tau", Upsilon: "\\Upsilon", upsilon: "\\upsilon", Phi: "\\Phi", phi: "\\phi", varphi: "\\varphi", Chi: "X", chi: "\\chi", Psi: "\\Psi", psi: "\\psi", Omega: "\\Omega", omega: "\\omega", true: "\\mathrm{True}", false: "\\mathrm{False}", i: "i", inf: "\\infty", Inf: "\\infty", infinity: "\\infty", Infinity: "\\infty", oo: "\\infty", lim: "\\lim", undefined: "\\mathbf{?}" }, qs = { transpose: "^\\top", ctranspose: "^H", factorial: "!", pow: "^", dotPow: ".^\\wedge", unaryPlus: "+", unaryMinus: "-", bitNot: "\\~", not: "\\neg", multiply: "\\cdot", divide: "\\frac", dotMultiply: ".\\cdot", dotDivide: ".:", mod: "\\mod", add: "+", subtract: "-", to: "\\rightarrow", leftShift: "<<", rightArithShift: ">>", rightLogShift: ">>>", equal: "=", unequal: "\\neq", smaller: "<", larger: ">", smallerEq: "\\leq", largerEq: "\\geq", bitAnd: "\\&", bitXor: "\\underline{|}", bitOr: "|", and: "\\wedge", xor: "\\veebar", or: "\\vee" }, zs = { abs: { 1: "\\left|${args[0]}\\right|" }, add: { 2: "\\left(${args[0]}".concat(qs.add, "${args[1]}\\right)") }, cbrt: { 1: "\\sqrt[3]{${args[0]}}" }, ceil: { 1: "\\left\\lceil${args[0]}\\right\\rceil" }, cube: { 1: "\\left(${args[0]}\\right)^3" }, divide: { 2: "\\frac{${args[0]}}{${args[1]}}" }, dotDivide: { 2: "\\left(${args[0]}".concat(qs.dotDivide, "${args[1]}\\right)") }, dotMultiply: { 2: "\\left(${args[0]}".concat(qs.dotMultiply, "${args[1]}\\right)") }, dotPow: { 2: "\\left(${args[0]}".concat(qs.dotPow, "${args[1]}\\right)") }, exp: { 1: "\\exp\\left(${args[0]}\\right)" }, expm1: "\\left(e".concat(qs.pow, "{${args[0]}}-1\\right)"), fix: { 1: "\\mathrm{${name}}\\left(${args[0]}\\right)" }, floor: { 1: "\\left\\lfloor${args[0]}\\right\\rfloor" }, gcd: "\\gcd\\left(${args}\\right)", hypot: "\\hypot\\left(${args}\\right)", log: { 1: "\\ln\\left(${args[0]}\\right)", 2: "\\log_{${args[1]}}\\left(${args[0]}\\right)" }, log10: { 1: "\\log_{10}\\left(${args[0]}\\right)" }, log1p: { 1: "\\ln\\left(${args[0]}+1\\right)", 2: "\\log_{${args[1]}}\\left(${args[0]}+1\\right)" }, log2: "\\log_{2}\\left(${args[0]}\\right)", mod: { 2: "\\left(${args[0]}".concat(qs.mod, "${args[1]}\\right)") }, multiply: { 2: "\\left(${args[0]}".concat(qs.multiply, "${args[1]}\\right)") }, norm: { 1: "\\left\\|${args[0]}\\right\\|", 2: void 0 }, nthRoot: { 2: "\\sqrt[${args[1]}]{${args[0]}}" }, nthRoots: { 2: "\\{y : $y^{args[1]} = {${args[0]}}\\}" }, pow: { 2: "\\left(${args[0]}\\right)".concat(qs.pow, "{${args[1]}}") }, round: { 1: "\\left\\lfloor${args[0]}\\right\\rceil", 2: void 0 }, sign: { 1: "\\mathrm{${name}}\\left(${args[0]}\\right)" }, sqrt: { 1: "\\sqrt{${args[0]}}" }, square: { 1: "\\left(${args[0]}\\right)^2" }, subtract: { 2: "\\left(${args[0]}".concat(qs.subtract, "${args[1]}\\right)") }, unaryMinus: { 1: "".concat(qs.unaryMinus, "\\left(${args[0]}\\right)") }, unaryPlus: { 1: "".concat(qs.unaryPlus, "\\left(${args[0]}\\right)") }, bitAnd: { 2: "\\left(${args[0]}".concat(qs.bitAnd, "${args[1]}\\right)") }, bitNot: { 1: qs.bitNot + "\\left(${args[0]}\\right)" }, bitOr: { 2: "\\left(${args[0]}".concat(qs.bitOr, "${args[1]}\\right)") }, bitXor: { 2: "\\left(${args[0]}".concat(qs.bitXor, "${args[1]}\\right)") }, leftShift: { 2: "\\left(${args[0]}".concat(qs.leftShift, "${args[1]}\\right)") }, rightArithShift: { 2: "\\left(${args[0]}".concat(qs.rightArithShift, "${args[1]}\\right)") }, rightLogShift: { 2: "\\left(${args[0]}".concat(qs.rightLogShift, "${args[1]}\\right)") }, bellNumbers: { 1: "\\mathrm{B}_{${args[0]}}" }, catalan: { 1: "\\mathrm{C}_{${args[0]}}" }, stirlingS2: { 2: "\\mathrm{S}\\left(${args}\\right)" }, arg: { 1: "\\arg\\left(${args[0]}\\right)" }, conj: { 1: "\\left(${args[0]}\\right)^*" }, im: { 1: "\\Im\\left\\lbrace${args[0]}\\right\\rbrace" }, re: { 1: "\\Re\\left\\lbrace${args[0]}\\right\\rbrace" }, and: { 2: "\\left(${args[0]}".concat(qs.and, "${args[1]}\\right)") }, not: { 1: qs.not + "\\left(${args[0]}\\right)" }, or: { 2: "\\left(${args[0]}".concat(qs.or, "${args[1]}\\right)") }, xor: { 2: "\\left(${args[0]}".concat(qs.xor, "${args[1]}\\right)") }, cross: { 2: "\\left(${args[0]}\\right)\\times\\left(${args[1]}\\right)" }, ctranspose: { 1: "\\left(${args[0]}\\right)".concat(qs.ctranspose) }, det: { 1: "\\det\\left(${args[0]}\\right)" }, dot: { 2: "\\left(${args[0]}\\cdot${args[1]}\\right)" }, expm: { 1: "\\exp\\left(${args[0]}\\right)" }, inv: { 1: "\\left(${args[0]}\\right)^{-1}" }, sqrtm: { 1: "{${args[0]}}".concat(qs.pow, "{\\frac{1}{2}}") }, trace: { 1: "\\mathrm{tr}\\left(${args[0]}\\right)" }, transpose: { 1: "\\left(${args[0]}\\right)".concat(qs.transpose) }, combinations: { 2: "\\binom{${args[0]}}{${args[1]}}" }, combinationsWithRep: { 2: "\\left(\\!\\!{\\binom{${args[0]}}{${args[1]}}}\\!\\!\\right)" }, factorial: { 1: "\\left(${args[0]}\\right)".concat(qs.factorial) }, gamma: { 1: "\\Gamma\\left(${args[0]}\\right)" }, equal: { 2: "\\left(${args[0]}".concat(qs.equal, "${args[1]}\\right)") }, larger: { 2: "\\left(${args[0]}".concat(qs.larger, "${args[1]}\\right)") }, largerEq: { 2: "\\left(${args[0]}".concat(qs.largerEq, "${args[1]}\\right)") }, smaller: { 2: "\\left(${args[0]}".concat(qs.smaller, "${args[1]}\\right)") }, smallerEq: { 2: "\\left(${args[0]}".concat(qs.smallerEq, "${args[1]}\\right)") }, unequal: { 2: "\\left(${args[0]}".concat(qs.unequal, "${args[1]}\\right)") }, erf: { 1: "erf\\left(${args[0]}\\right)" }, max: "\\max\\left(${args}\\right)", min: "\\min\\left(${args}\\right)", variance: "\\mathrm{Var}\\left(${args}\\right)", acos: { 1: "\\cos^{-1}\\left(${args[0]}\\right)" }, acosh: { 1: "\\cosh^{-1}\\left(${args[0]}\\right)" }, acot: { 1: "\\cot^{-1}\\left(${args[0]}\\right)" }, acoth: { 1: "\\coth^{-1}\\left(${args[0]}\\right)" }, acsc: { 1: "\\csc^{-1}\\left(${args[0]}\\right)" }, acsch: { 1: "\\mathrm{csch}^{-1}\\left(${args[0]}\\right)" }, asec: { 1: "\\sec^{-1}\\left(${args[0]}\\right)" }, asech: { 1: "\\mathrm{sech}^{-1}\\left(${args[0]}\\right)" }, asin: { 1: "\\sin^{-1}\\left(${args[0]}\\right)" }, asinh: { 1: "\\sinh^{-1}\\left(${args[0]}\\right)" }, atan: { 1: "\\tan^{-1}\\left(${args[0]}\\right)" }, atan2: { 2: "\\mathrm{atan2}\\left(${args}\\right)" }, atanh: { 1: "\\tanh^{-1}\\left(${args[0]}\\right)" }, cos: { 1: "\\cos\\left(${args[0]}\\right)" }, cosh: { 1: "\\cosh\\left(${args[0]}\\right)" }, cot: { 1: "\\cot\\left(${args[0]}\\right)" }, coth: { 1: "\\coth\\left(${args[0]}\\right)" }, csc: { 1: "\\csc\\left(${args[0]}\\right)" }, csch: { 1: "\\mathrm{csch}\\left(${args[0]}\\right)" }, sec: { 1: "\\sec\\left(${args[0]}\\right)" }, sech: { 1: "\\mathrm{sech}\\left(${args[0]}\\right)" }, sin: { 1: "\\sin\\left(${args[0]}\\right)" }, sinh: { 1: "\\sinh\\left(${args[0]}\\right)" }, tan: { 1: "\\tan\\left(${args[0]}\\right)" }, tanh: { 1: "\\tanh\\left(${args[0]}\\right)" }, to: { 2: "\\left(${args[0]}".concat(qs.to, "${args[1]}\\right)") }, numeric: function (e, t) { return e.args[0].toTex() }, number: { 0: "0", 1: "\\left(${args[0]}\\right)", 2: "\\left(\\left(${args[0]}\\right)${args[1]}\\right)" }, string: { 0: '\\mathtt{""}', 1: "\\mathrm{string}\\left(${args[0]}\\right)" }, bignumber: { 0: "0", 1: "\\left(${args[0]}\\right)" }, complex: { 0: "0", 1: "\\left(${args[0]}\\right)", 2: "\\left(\\left(${args[0]}\\right)+".concat(Ts.i, "\\cdot\\left(${args[1]}\\right)\\right)") }, matrix: { 0: "\\begin{bmatrix}\\end{bmatrix}", 1: "\\left(${args[0]}\\right)", 2: "\\left(${args[0]}\\right)" }, sparse: { 0: "\\begin{bsparse}\\end{bsparse}", 1: "\\left(${args[0]}\\right)" }, unit: { 1: "\\left(${args[0]}\\right)", 2: "\\left(\\left(${args[0]}\\right)${args[1]}\\right)" } }, ks = { deg: "^\\circ" }; function Is(e) { return _s()(e, { preserveFormatting: !0 }) } function Bs(e, t) { return (t = void 0 !== t && t) ? Ze(ks, e) ? ks[e] : "\\mathrm{" + Is(e) + "}" : Ze(Ts, e) ? Ts[e] : Is(e) } var Ds = Je("ConstantNode", ["Node"], (function (e) { var t = e.Node; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); this.value = e } return r.prototype = new t, r.prototype.type = "ConstantNode", r.prototype.isConstantNode = !0, r.prototype._compile = function (e, t) { var r = this.value; return function () { return r } }, r.prototype.forEach = function (e) { }, r.prototype.map = function (e) { return this.clone() }, r.prototype.clone = function () { return new r(this.value) }, r.prototype._toString = function (e) { return ge(this.value, e) }, r.prototype.toHTML = function (e) { var t = this._toString(e); switch (H(this.value)) { case "number": case "BigNumber": case "Fraction": return '' + t + ""; case "string": return '' + t + ""; case "boolean": return '' + t + ""; case "null": return '' + t + ""; case "undefined": return '' + t + ""; default: return '' + t + "" } }, r.prototype.toJSON = function () { return { mathjs: "ConstantNode", value: this.value } }, r.fromJSON = function (e) { return new r(e.value) }, r.prototype._toTex = function (e) { var t = this._toString(e); switch (H(this.value)) { case "string": return "\\mathtt{" + Is(t) + "}"; case "number": case "BigNumber": if (!isFinite(this.value)) return this.value.valueOf() < 0 ? "-\\infty" : "\\infty"; var r = t.toLowerCase().indexOf("e"); return -1 !== r ? t.substring(0, r) + "\\cdot10^{" + t.substring(r + 1) + "}" : t; case "Fraction": return this.value.toLatex(); default: return t } }, r }), { isClass: !0, isNode: !0 }), Rs = Je("FunctionAssignmentNode", ["typed", "Node"], (function (e) { var t = e.typed, r = e.Node; function n(e, t, r) { if (!(this instanceof n)) throw new SyntaxError("Constructor must be called with the new operator"); if ("string" != typeof e) throw new TypeError('String expected for parameter "name"'); if (!Array.isArray(t)) throw new TypeError('Array containing strings or objects expected for parameter "params"'); if (!D(r)) throw new TypeError('Node expected for parameter "expr"'); if (e in ps) throw new Error('Illegal function name, "' + e + '" is a reserved keyword'); this.name = e, this.params = t.map((function (e) { return e && e.name || e })), this.types = t.map((function (e) { return e && e.type || "any" })), this.expr = r } function i(e, t) { var r = Ns(e, t), n = Ns(e.expr, t); return "all" === t || null !== n && n <= r } return n.prototype = new r, n.prototype.type = "FunctionAssignmentNode", n.prototype.isFunctionAssignmentNode = !0, n.prototype._compile = function (e, r) { var n = Object.create(r); ze(this.params, (function (e) { n[e] = !0 })); var i = this.expr._compile(e, n), a = this.name, o = this.params, s = Be(this.types, ","), u = a + "(" + Be(this.params, ", ") + ")"; return function (e, r, n) { var c = {}; c[s] = function () { for (var t = Object.create(r), a = 0; a < o.length; a++)t[o[a]] = arguments[a]; return i(e, t, n) }; var f = t(a, c); return f.syntax = u, xi(e, a, f), f } }, n.prototype.forEach = function (e) { e(this.expr, "expr", this) }, n.prototype.map = function (e) { var t = this._ifNode(e(this.expr, "expr", this)); return new n(this.name, this.params.slice(0), t) }, n.prototype.clone = function () { return new n(this.name, this.params.slice(0), this.expr) }, n.prototype._toString = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = this.expr.toString(e); return i(this, t) && (r = "(" + r + ")"), this.name + "(" + this.params.join(", ") + ") = " + r }, n.prototype.toJSON = function () { var e = this.types; return { mathjs: "FunctionAssignmentNode", name: this.name, params: this.params.map((function (t, r) { return { name: t, type: e[r] } })), expr: this.expr } }, n.fromJSON = function (e) { return new n(e.name, e.params, e.expr) }, n.prototype.toHTML = function (e) { for (var t = e && e.parenthesis ? e.parenthesis : "keep", r = [], n = 0; n < this.params.length; n++)r.push('' + xe(this.params[n]) + ""); var a = this.expr.toHTML(e); return i(this, t) && (a = '(' + a + ')'), '' + xe(this.name) + '(' + r.join(',') + ')=' + a }, n.prototype._toTex = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = this.expr.toTex(e); return i(this, t) && (r = "\\left(".concat(r, "\\right)")), "\\mathrm{" + this.name + "}\\left(" + this.params.map(Bs).join(",") + "\\right):=" + r }, n }), { isClass: !0, isNode: !0 }); function js(e) { return function (e) { if (Array.isArray(e)) return Ps(e) }(e) || function (e) { if ("undefined" != typeof Symbol && Symbol.iterator in Object(e)) return Array.from(e) }(e) || function (e, t) { if (!e) return; if ("string" == typeof e) return Ps(e, t); var r = Object.prototype.toString.call(e).slice(8, -1); "Object" === r && e.constructor && (r = e.constructor.name); if ("Map" === r || "Set" === r) return Array.from(e); if ("Arguments" === r || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)) return Ps(e, t) }(e) || function () { throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.") }() } function Ps(e, t) { (null == t || t > e.length) && (t = e.length); for (var r = 0, n = new Array(t); r < t; r++)n[r] = e[r]; return n } var Us = Je("IndexNode", ["Range", "Node", "size"], (function (e) { var t = e.Range, r = e.Node, n = e.size; function i(e, t) { if (!(this instanceof i)) throw new SyntaxError("Constructor must be called with the new operator"); if (this.dimensions = e, this.dotNotation = t || !1, !Array.isArray(e) || !e.every(D)) throw new TypeError('Array containing Nodes expected for parameter "dimensions"'); if (this.dotNotation && !this.isObjectProperty()) throw new Error("dotNotation only applicable for object properties") } function a(e, r, n) { return new t(o(e) ? e.toNumber() : e, o(r) ? r.toNumber() : r, o(n) ? n.toNumber() : n) } return i.prototype = new r, i.prototype.type = "IndexNode", i.prototype.isIndexNode = !0, i.prototype._compile = function (e, t) { var r = qe(this.dimensions, (function (r, i) { if (U(r)) { if (r.needsEnd()) { var o = Object.create(t); o.end = !0; var s = r.start._compile(e, o), u = r.end._compile(e, o), c = r.step ? r.step._compile(e, o) : function () { return 1 }; return function (e, t, r) { var o = n(r).valueOf(), f = Object.create(t); return f.end = o[i], a(s(e, f, r), u(e, f, r), c(e, f, r)) } } var f = r.start._compile(e, t), l = r.end._compile(e, t), p = r.step ? r.step._compile(e, t) : function () { return 1 }; return function (e, t, r) { return a(f(e, t, r), l(e, t, r), p(e, t, r)) } } if (F(r) && "end" === r.name) { var m = Object.create(t); m.end = !0; var h = r._compile(e, m); return function (e, t, r) { var a = n(r).valueOf(), o = Object.create(t); return o.end = a[i], h(e, o, r) } } var d = r._compile(e, t); return function (e, t, r) { return d(e, t, r) } })), i = vi(e, "index"); return function (e, t, n) { var a = qe(r, (function (r) { return r(e, t, n) })); return i.apply(void 0, js(a)) } }, i.prototype.forEach = function (e) { for (var t = 0; t < this.dimensions.length; t++)e(this.dimensions[t], "dimensions[" + t + "]", this) }, i.prototype.map = function (e) { for (var t = [], r = 0; r < this.dimensions.length; r++)t[r] = this._ifNode(e(this.dimensions[r], "dimensions[" + r + "]", this)); return new i(t, this.dotNotation) }, i.prototype.clone = function () { return new i(this.dimensions.slice(0), this.dotNotation) }, i.prototype.isObjectProperty = function () { return 1 === this.dimensions.length && z(this.dimensions[0]) && "string" == typeof this.dimensions[0].value }, i.prototype.getObjectProperty = function () { return this.isObjectProperty() ? this.dimensions[0].value : null }, i.prototype._toString = function (e) { return this.dotNotation ? "." + this.getObjectProperty() : "[" + this.dimensions.join(", ") + "]" }, i.prototype.toJSON = function () { return { mathjs: "IndexNode", dimensions: this.dimensions, dotNotation: this.dotNotation } }, i.fromJSON = function (e) { return new i(e.dimensions, e.dotNotation) }, i.prototype.toHTML = function (e) { for (var t = [], r = 0; r < this.dimensions.length; r++)t[r] = this.dimensions[r].toHTML(); return this.dotNotation ? '.' + xe(this.getObjectProperty()) + "" : '[' + t.join(',') + ']' }, i.prototype._toTex = function (e) { var t = this.dimensions.map((function (t) { return t.toTex(e) })); return this.dotNotation ? "." + this.getObjectProperty() : "_{" + t.join(",") + "}" }, i }), { isClass: !0, isNode: !0 }); function Fs(e) { return (Fs = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } var Ls = Je("ObjectNode", ["Node"], (function (e) { var t = e.Node; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (this.properties = e || {}, e && ("object" !== Fs(e) || !Object.keys(e).every((function (t) { return D(e[t]) })))) throw new TypeError("Object containing Nodes expected") } return r.prototype = new t, r.prototype.type = "ObjectNode", r.prototype.isObjectNode = !0, r.prototype._compile = function (e, t) { var r = {}; for (var n in this.properties) if (Ze(this.properties, n)) { var i = ve(n), a = JSON.parse(i); if (!bi(this.properties, a)) throw new Error('No access to property "' + a + '"'); r[a] = this.properties[n]._compile(e, t) } return function (e, t, n) { var i = {}; for (var a in r) Ze(r, a) && (i[a] = r[a](e, t, n)); return i } }, r.prototype.forEach = function (e) { for (var t in this.properties) Ze(this.properties, t) && e(this.properties[t], "properties[" + ve(t) + "]", this) }, r.prototype.map = function (e) { var t = {}; for (var n in this.properties) Ze(this.properties, n) && (t[n] = this._ifNode(e(this.properties[n], "properties[" + ve(n) + "]", this))); return new r(t) }, r.prototype.clone = function () { var e = {}; for (var t in this.properties) Ze(this.properties, t) && (e[t] = this.properties[t]); return new r(e) }, r.prototype._toString = function (e) { var t = []; for (var r in this.properties) Ze(this.properties, r) && t.push(ve(r) + ": " + this.properties[r].toString(e)); return "{" + t.join(", ") + "}" }, r.prototype.toJSON = function () { return { mathjs: "ObjectNode", properties: this.properties } }, r.fromJSON = function (e) { return new r(e.properties) }, r.prototype.toHTML = function (e) { var t = []; for (var r in this.properties) Ze(this.properties, r) && t.push('' + xe(r) + ':' + this.properties[r].toHTML(e)); return '{' + t.join(',') + '}' }, r.prototype._toTex = function (e) { var t = []; for (var r in this.properties) Ze(this.properties, r) && t.push("\\mathbf{" + r + ":} & " + this.properties[r].toTex(e) + "\\\\"); return "\\left\\{\\begin{array}{ll}".concat(t.join("\n"), "\\end{array}\\right\\}") }, r }), { isClass: !0, isNode: !0 }), Hs = Je("OperatorNode", ["Node"], (function (e) { var t = e.Node; function r(e, t, n, i) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if ("string" != typeof e) throw new TypeError('string expected for parameter "op"'); if ("string" != typeof t) throw new TypeError('string expected for parameter "fn"'); if (!Array.isArray(n) || !n.every(D)) throw new TypeError('Array containing Nodes expected for parameter "args"'); this.implicit = !0 === i, this.op = e, this.fn = t, this.args = n || [] } function n(e, t, r, n, i) { var a, o = Ns(e, t), s = Ms(e, t); if ("all" === t || n.length > 2 && "OperatorNode:add" !== e.getIdentifier() && "OperatorNode:multiply" !== e.getIdentifier()) return n.map((function (e) { switch (e.getContent().type) { case "ArrayNode": case "ConstantNode": case "SymbolNode": case "ParenthesisNode": return !1; default: return !0 } })); switch (n.length) { case 0: a = []; break; case 1: var u = Ns(n[0], t); if (i && null !== u) { var c, f; if ("keep" === t ? (c = n[0].getIdentifier(), f = e.getIdentifier()) : (c = n[0].getContent().getIdentifier(), f = e.getContent().getIdentifier()), !1 === ws[o][f].latexLeftParens) { a = [!1]; break } if (!1 === ws[u][c].latexParens) { a = [!1]; break } } if (null === u) { a = [!1]; break } if (u <= o) { a = [!0]; break } a = [!1]; break; case 2: var l, p, m = Ns(n[0], t), h = Ss(e, n[0], t); l = null !== m && (m === o && "right" === s && !h || m < o); var d, y, g, v = Ns(n[1], t), x = Ss(e, n[1], t); if (p = null !== v && (v === o && "left" === s && !x || v < o), i) "keep" === t ? (d = e.getIdentifier(), y = e.args[0].getIdentifier(), g = e.args[1].getIdentifier()) : (d = e.getContent().getIdentifier(), y = e.args[0].getContent().getIdentifier(), g = e.args[1].getContent().getIdentifier()), null !== m && (!1 === ws[o][d].latexLeftParens && (l = !1), !1 === ws[m][y].latexParens && (l = !1)), null !== v && (!1 === ws[o][d].latexRightParens && (p = !1), !1 === ws[v][g].latexParens && (p = !1)); a = [l, p]; break; default: "OperatorNode:add" !== e.getIdentifier() && "OperatorNode:multiply" !== e.getIdentifier() || (a = n.map((function (r) { var n = Ns(r, t), i = Ss(e, r, t), a = Ms(r, t); return null !== n && (o === n && s === a && !i || n < o) }))) }return n.length >= 2 && "OperatorNode:multiply" === e.getIdentifier() && e.implicit && "auto" === t && "hide" === r && (a = n.map((function (e, t) { var r = "ParenthesisNode" === e.getIdentifier(); return !(!a[t] && !r) }))), a } return r.prototype = new t, r.prototype.type = "OperatorNode", r.prototype.isOperatorNode = !0, r.prototype._compile = function (e, t) { if ("string" != typeof this.fn || !wi(e, this.fn)) throw e[this.fn] ? new Error('No access to function "' + this.fn + '"') : new Error("Function " + this.fn + ' missing in provided namespace "math"'); var r = vi(e, this.fn), n = qe(this.args, (function (r) { return r._compile(e, t) })); if (1 === n.length) { var i = n[0]; return function (e, t, n) { return r(i(e, t, n)) } } if (2 === n.length) { var a = n[0], o = n[1]; return function (e, t, n) { return r(a(e, t, n), o(e, t, n)) } } return function (e, t, i) { return r.apply(null, qe(n, (function (r) { return r(e, t, i) }))) } }, r.prototype.forEach = function (e) { for (var t = 0; t < this.args.length; t++)e(this.args[t], "args[" + t + "]", this) }, r.prototype.map = function (e) { for (var t = [], n = 0; n < this.args.length; n++)t[n] = this._ifNode(e(this.args[n], "args[" + n + "]", this)); return new r(this.op, this.fn, t, this.implicit) }, r.prototype.clone = function () { return new r(this.op, this.fn, this.args.slice(0), this.implicit) }, r.prototype.isUnary = function () { return 1 === this.args.length }, r.prototype.isBinary = function () { return 2 === this.args.length }, r.prototype._toString = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = e && e.implicit ? e.implicit : "hide", i = this.args, a = n(this, t, r, i, !1); if (1 === i.length) { var o = Ms(this, t), s = i[0].toString(e); a[0] && (s = "(" + s + ")"); var u = /[a-zA-Z]+/.test(this.op); return "right" === o ? this.op + (u ? " " : "") + s : "left" === o ? s + (u ? " " : "") + this.op : s + this.op } if (2 === i.length) { var c = i[0].toString(e), f = i[1].toString(e); return a[0] && (c = "(" + c + ")"), a[1] && (f = "(" + f + ")"), this.implicit && "OperatorNode:multiply" === this.getIdentifier() && "hide" === r ? c + " " + f : c + " " + this.op + " " + f } if (i.length > 2 && ("OperatorNode:add" === this.getIdentifier() || "OperatorNode:multiply" === this.getIdentifier())) { var l = i.map((function (t, r) { return t = t.toString(e), a[r] && (t = "(" + t + ")"), t })); return this.implicit && "OperatorNode:multiply" === this.getIdentifier() && "hide" === r ? l.join(" ") : l.join(" " + this.op + " ") } return this.fn + "(" + this.args.join(", ") + ")" }, r.prototype.toJSON = function () { return { mathjs: "OperatorNode", op: this.op, fn: this.fn, args: this.args, implicit: this.implicit } }, r.fromJSON = function (e) { return new r(e.op, e.fn, e.args, e.implicit) }, r.prototype.toHTML = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = e && e.implicit ? e.implicit : "hide", i = this.args, a = n(this, t, r, i, !1); if (1 === i.length) { var o = Ms(this, t), s = i[0].toHTML(e); return a[0] && (s = '(' + s + ')'), "right" === o ? '' + xe(this.op) + "" + s : s + '' + xe(this.op) + "" } if (2 === i.length) { var u = i[0].toHTML(e), c = i[1].toHTML(e); return a[0] && (u = '(' + u + ')'), a[1] && (c = '(' + c + ')'), this.implicit && "OperatorNode:multiply" === this.getIdentifier() && "hide" === r ? u + '' + c : u + '' + xe(this.op) + "" + c } var f = i.map((function (t, r) { return t = t.toHTML(e), a[r] && (t = '(' + t + ')'), t })); return i.length > 2 && ("OperatorNode:add" === this.getIdentifier() || "OperatorNode:multiply" === this.getIdentifier()) ? this.implicit && "OperatorNode:multiply" === this.getIdentifier() && "hide" === r ? f.join('') : f.join('' + xe(this.op) + "") : '' + xe(this.fn) + '(' + f.join(',') + ')' }, r.prototype._toTex = function (e) { var t = e && e.parenthesis ? e.parenthesis : "keep", r = e && e.implicit ? e.implicit : "hide", i = this.args, a = n(this, t, r, i, !0), o = qs[this.fn]; if (o = void 0 === o ? this.op : o, 1 === i.length) { var s = Ms(this, t), u = i[0].toTex(e); return a[0] && (u = "\\left(".concat(u, "\\right)")), "right" === s ? o + u : u + o } if (2 === i.length) { var c = i[0], f = c.toTex(e); a[0] && (f = "\\left(".concat(f, "\\right)")); var l, p = i[1].toTex(e); switch (a[1] && (p = "\\left(".concat(p, "\\right)")), l = "keep" === t ? c.getIdentifier() : c.getContent().getIdentifier(), this.getIdentifier()) { case "OperatorNode:divide": return o + "{" + f + "}{" + p + "}"; case "OperatorNode:pow": switch (f = "{" + f + "}", p = "{" + p + "}", l) { case "ConditionalNode": case "OperatorNode:divide": f = "\\left(".concat(f, "\\right)") }break; case "OperatorNode:multiply": if (this.implicit && "hide" === r) return f + "~" + p }return f + o + p } if (i.length > 2 && ("OperatorNode:add" === this.getIdentifier() || "OperatorNode:multiply" === this.getIdentifier())) { var m = i.map((function (t, r) { return t = t.toTex(e), a[r] && (t = "\\left(".concat(t, "\\right)")), t })); return "OperatorNode:multiply" === this.getIdentifier() && this.implicit ? m.join("~") : m.join(o) } return "\\mathrm{" + this.fn + "}\\left(" + i.map((function (t) { return t.toTex(e) })).join(",") + "\\right)" }, r.prototype.getIdentifier = function () { return this.type + ":" + this.fn }, r }), { isClass: !0, isNode: !0 }), $s = Je("ParenthesisNode", ["Node"], (function (e) { var t = e.Node; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (!D(e)) throw new TypeError('Node expected for parameter "content"'); this.content = e } return r.prototype = new t, r.prototype.type = "ParenthesisNode", r.prototype.isParenthesisNode = !0, r.prototype._compile = function (e, t) { return this.content._compile(e, t) }, r.prototype.getContent = function () { return this.content.getContent() }, r.prototype.forEach = function (e) { e(this.content, "content", this) }, r.prototype.map = function (e) { return new r(e(this.content, "content", this)) }, r.prototype.clone = function () { return new r(this.content) }, r.prototype._toString = function (e) { return !e || e && !e.parenthesis || e && "keep" === e.parenthesis ? "(" + this.content.toString(e) + ")" : this.content.toString(e) }, r.prototype.toJSON = function () { return { mathjs: "ParenthesisNode", content: this.content } }, r.fromJSON = function (e) { return new r(e.content) }, r.prototype.toHTML = function (e) { return !e || e && !e.parenthesis || e && "keep" === e.parenthesis ? '(' + this.content.toHTML(e) + ')' : this.content.toHTML(e) }, r.prototype._toTex = function (e) { return !e || e && !e.parenthesis || e && "keep" === e.parenthesis ? "\\left(".concat(this.content.toTex(e), "\\right)") : this.content.toTex(e) }, r }), { isClass: !0, isNode: !0 }), Gs = Je("RangeNode", ["Node"], (function (e) { var t = e.Node; function r(e, t, n) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (!D(e)) throw new TypeError("Node expected"); if (!D(t)) throw new TypeError("Node expected"); if (n && !D(n)) throw new TypeError("Node expected"); if (arguments.length > 3) throw new Error("Too many arguments"); this.start = e, this.end = t, this.step = n || null } function n(e, t) { var r = Ns(e, t), n = {}, i = Ns(e.start, t); if (n.start = null !== i && i <= r || "all" === t, e.step) { var a = Ns(e.step, t); n.step = null !== a && a <= r || "all" === t } var o = Ns(e.end, t); return n.end = null !== o && o <= r || "all" === t, n } return r.prototype = new t, r.prototype.type = "RangeNode", r.prototype.isRangeNode = !0, r.prototype.needsEnd = function () { return this.filter((function (e) { return F(e) && "end" === e.name })).length > 0 }, r.prototype._compile = function (e, t) { var r = e.range, n = this.start._compile(e, t), i = this.end._compile(e, t); if (this.step) { var a = this.step._compile(e, t); return function (e, t, o) { return r(n(e, t, o), i(e, t, o), a(e, t, o)) } } return function (e, t, a) { return r(n(e, t, a), i(e, t, a)) } }, r.prototype.forEach = function (e) { e(this.start, "start", this), e(this.end, "end", this), this.step && e(this.step, "step", this) }, r.prototype.map = function (e) { return new r(this._ifNode(e(this.start, "start", this)), this._ifNode(e(this.end, "end", this)), this.step && this._ifNode(e(this.step, "step", this))) }, r.prototype.clone = function () { return new r(this.start, this.end, this.step && this.step) }, r.prototype._toString = function (e) { var t, r = n(this, e && e.parenthesis ? e.parenthesis : "keep"), i = this.start.toString(e); if (r.start && (i = "(" + i + ")"), t = i, this.step) { var a = this.step.toString(e); r.step && (a = "(" + a + ")"), t += ":" + a } var o = this.end.toString(e); return r.end && (o = "(" + o + ")"), t += ":" + o }, r.prototype.toJSON = function () { return { mathjs: "RangeNode", start: this.start, end: this.end, step: this.step } }, r.fromJSON = function (e) { return new r(e.start, e.end, e.step) }, r.prototype.toHTML = function (e) { var t, r = n(this, e && e.parenthesis ? e.parenthesis : "keep"), i = this.start.toHTML(e); if (r.start && (i = '(' + i + ')'), t = i, this.step) { var a = this.step.toHTML(e); r.step && (a = '(' + a + ')'), t += ':' + a } var o = this.end.toHTML(e); return r.end && (o = '(' + o + ')'), t += ':' + o }, r.prototype._toTex = function (e) { var t = n(this, e && e.parenthesis ? e.parenthesis : "keep"), r = this.start.toTex(e); if (t.start && (r = "\\left(".concat(r, "\\right)")), this.step) { var i = this.step.toTex(e); t.step && (i = "\\left(".concat(i, "\\right)")), r += ":" + i } var a = this.end.toTex(e); return t.end && (a = "\\left(".concat(a, "\\right)")), r += ":" + a }, r }), { isClass: !0, isNode: !0 }), Vs = Je("RelationalNode", ["Node"], (function (e) { var t = e.Node; function r(e, t) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (!Array.isArray(e)) throw new TypeError("Parameter conditionals must be an array"); if (!Array.isArray(t)) throw new TypeError("Parameter params must be an array"); if (e.length !== t.length - 1) throw new TypeError("Parameter params must contain exactly one more element than parameter conditionals"); this.conditionals = e, this.params = t } return r.prototype = new t, r.prototype.type = "RelationalNode", r.prototype.isRelationalNode = !0, r.prototype._compile = function (e, t) { var r = this, n = this.params.map((function (r) { return r._compile(e, t) })); return function (t, i, a) { for (var o, s = n[0](t, i, a), u = 0; u < r.conditionals.length; u++) { if (o = s, s = n[u + 1](t, i, a), !vi(e, r.conditionals[u])(o, s)) return !1 } return !0 } }, r.prototype.forEach = function (e) { var t = this; this.params.forEach((function (r, n) { return e(r, "params[" + n + "]", t) }), this) }, r.prototype.map = function (e) { var t = this; return new r(this.conditionals.slice(), this.params.map((function (r, n) { return t._ifNode(e(r, "params[" + n + "]", t)) }), this)) }, r.prototype.clone = function () { return new r(this.conditionals, this.params) }, r.prototype._toString = function (e) { for (var t = e && e.parenthesis ? e.parenthesis : "keep", r = Ns(this, t), n = this.params.map((function (n, i) { var a = Ns(n, t); return "all" === t || null !== a && a <= r ? "(" + n.toString(e) + ")" : n.toString(e) })), i = { equal: "==", unequal: "!=", smaller: "<", larger: ">", smallerEq: "<=", largerEq: ">=" }, a = n[0], o = 0; o < this.conditionals.length; o++)a += " " + i[this.conditionals[o]] + " " + n[o + 1]; return a }, r.prototype.toJSON = function () { return { mathjs: "RelationalNode", conditionals: this.conditionals, params: this.params } }, r.fromJSON = function (e) { return new r(e.conditionals, e.params) }, r.prototype.toHTML = function (e) { for (var t = e && e.parenthesis ? e.parenthesis : "keep", r = Ns(this, t), n = this.params.map((function (n, i) { var a = Ns(n, t); return "all" === t || null !== a && a <= r ? '(' + n.toHTML(e) + ')' : n.toHTML(e) })), i = { equal: "==", unequal: "!=", smaller: "<", larger: ">", smallerEq: "<=", largerEq: ">=" }, a = n[0], o = 0; o < this.conditionals.length; o++)a += '' + xe(i[this.conditionals[o]]) + "" + n[o + 1]; return a }, r.prototype._toTex = function (e) { for (var t = e && e.parenthesis ? e.parenthesis : "keep", r = Ns(this, t), n = this.params.map((function (n, i) { var a = Ns(n, t); return "all" === t || null !== a && a <= r ? "\\left(" + n.toTex(e) + "\right)" : n.toTex(e) })), i = n[0], a = 0; a < this.conditionals.length; a++)i += qs[this.conditionals[a]] + n[a + 1]; return i }, r }), { isClass: !0, isNode: !0 }), Zs = Je("SymbolNode", ["math", "?Unit", "Node"], (function (e) { var t = e.math, r = e.Unit, n = e.Node; function i(e) { return !!r && r.isValuelessUnit(e) } function a(e) { if (!(this instanceof a)) throw new SyntaxError("Constructor must be called with the new operator"); if ("string" != typeof e) throw new TypeError('String expected for parameter "name"'); this.name = e } return a.prototype = new n, a.prototype.type = "SymbolNode", a.prototype.isSymbolNode = !0, a.prototype._compile = function (e, t) { var n = this.name; if (!0 === t[n]) return function (e, t, r) { return t[n] }; if (n in e) return function (t, r, i) { return vi(n in t ? t : e, n) }; var a = i(n); return function (e, t, i) { return n in e ? vi(e, n) : a ? new r(null, n) : function (e) { throw new Error("Undefined symbol " + e) }(n) } }, a.prototype.forEach = function (e) { }, a.prototype.map = function (e) { return this.clone() }, a.prototype.clone = function () { return new a(this.name) }, a.prototype._toString = function (e) { return this.name }, a.prototype.toHTML = function (e) { var t = xe(this.name); return "true" === t || "false" === t ? '' + t + "" : "i" === t ? '' + t + "" : "Infinity" === t ? '' + t + "" : "NaN" === t ? '' + t + "" : "null" === t ? '' + t + "" : "undefined" === t ? '' + t + "" : '' + t + "" }, a.prototype.toJSON = function () { return { mathjs: "SymbolNode", name: this.name } }, a.fromJSON = function (e) { return new a(e.name) }, a.prototype._toTex = function (e) { var r = !1; void 0 === t[this.name] && i(this.name) && (r = !0); var n = Bs(this.name, r); return "\\" === n[0] ? n : " " + n }, a }), { isClass: !0, isNode: !0 }); function Ws(e) { return (Ws = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? 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"(" + this.fn.toString(e) + ")" : this.fn.toString(e)) + "(" + t.join(", ") + ")" }, i.prototype.toJSON = function () { return { mathjs: "FunctionNode", fn: this.fn, args: this.args } }, i.fromJSON = function (e) { return new i(e.fn, e.args) }, i.prototype.toHTML = function (e) { var t = this.args.map((function (t) { return t.toHTML(e) })); return '' + xe(this.fn) + '(' + t.join(',') + ')' }; var s = i.prototype.toTex; return i.prototype.toTex = function (e) { var t; return e && "object" === Ws(e.handler) && Ze(e.handler, this.name) && (t = e.handler[this.name](this, e)), void 0 !== t ? t : s.call(this, e) }, i.prototype._toTex = function (e) { var r, n, i = this.args.map((function (t) { return t.toTex(e) })); switch (zs[this.name] && (r = zs[this.name]), !t[this.name] || "function" != typeof t[this.name].toTex && "object" !== Ws(t[this.name].toTex) && "string" != typeof t[this.name].toTex || (r = t[this.name].toTex), Ws(r)) { case "function": n = r(this, e); break; case "string": n = o(r, this, e); break; case "object": switch (Ws(r[i.length])) { case "function": n = r[i.length](this, e); break; case "string": n = o(r[i.length], this, e) } }return void 0 !== n ? 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e.tokenType = N : e.tokenType = S } } else e.tokenType = N } function U(e) { do { P(e) } while ("\n" === e.token) } function L(e) { e.nestingLevel++ } function H(e) { e.nestingLevel-- } function $(e, t) { var r = { extraNodes: {}, expression: "", comment: "", index: 0, token: "", tokenType: w, nestingLevel: 0, conditionalLevel: null }; Xs(r, { expression: e, extraNodes: t }), P(r); var n = function (e) { var t, r, n = []; "" !== e.token && "\n" !== e.token && ";" !== e.token && ((t = G(e)).comment = e.comment); for (; "\n" === e.token || ";" === e.token;)0 === n.length && t && (r = ";" !== e.token, n.push({ node: t, visible: r })), P(e), "\n" !== e.token && ";" !== e.token && "" !== e.token && ((t = G(e)).comment = e.comment, r = ";" !== e.token, n.push({ node: t, visible: r })); return n.length > 0 ? new s(n) : (t || ((t = new c(void 0)).comment = e.comment), t) }(r); if ("" !== r.token) throw r.tokenType === N ? pe(r, "Unexpected operator " + r.token) : le(r, 'Unexpected part "' + r.token + '"'); return n } function G(e) { var t, r, n, i, a = function (e) { var t = function (e) { var t = V(e); for (; "or" === e.token;)U(e), t = new h("or", "or", [t, V(e)]); return t }(e); for (; "?" === e.token;) { var r = e.conditionalLevel; e.conditionalLevel = e.nestingLevel, U(e); var n = t, i = G(e); if (":" !== e.token) throw le(e, "False part of conditional expression expected"); e.conditionalLevel = null, U(e); var a = G(e); t = new u(n, i, a), e.conditionalLevel = r } return t }(e); if ("=" === e.token) { if (F(a)) return t = a.name, U(e), n = G(e), new o(new v(t), n); if (O(a)) return U(e), n = G(e), new o(a.object, a.index, n); if (I(a) && F(a.fn) && (i = !0, r = [], t = a.name, a.args.forEach((function (e, t) { F(e) ? 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t = new h("*", "multiply", [t, new v("in")], !0) : (i = [t, ee(e)], t = new h(r, n, i)); return t } function ee(e) { var t, r = []; if (t = ":" === e.token ? new c(1) : te(e), ":" === e.token && e.conditionalLevel !== e.nestingLevel) { for (r.push(t); ":" === e.token && r.length < 3;)U(e), ")" === e.token || "]" === e.token || "," === e.token || "" === e.token ? r.push(new v("end")) : r.push(te(e)); t = 3 === r.length ? new y(r[0], r[2], r[1]) : new y(r[0], r[1]) } return t } function te(e) { var t, r, n, i; t = re(e); for (var a = { "+": "add", "-": "subtract" }; Ze(a, e.token);)n = a[r = e.token], U(e), i = [t, re(e)], t = new h(r, n, i); return t } function re(e) { var t, r, n, i; r = t = ne(e); for (var a = { "*": "multiply", ".*": "dotMultiply", "/": "divide", "./": "dotDivide", "%": "mod", mod: "mod" }; Ze(a, e.token);)i = a[n = e.token], U(e), r = ne(e), t = new h(n, i, [t, r]); return t } function ne(e) { var t, r; for (r = t = ie(e); e.tokenType === S || "in" === e.token && z(t) || !(e.tokenType !== M || z(r) || j(r) && "!" !== r.op) || "(" === e.token;)r = ie(e), t = new h("*", "multiply", [t, r], !0); return t } function ie(e) { for (var t = ae(e), r = t, n = []; "/" === e.token && z(r);) { if (n.push(Xs({}, e)), U(e), e.tokenType !== M) { Xs(e, n.pop()); break } if (n.push(Xs({}, e)), U(e), e.tokenType !== S && "(" !== e.token) { n.pop(), Xs(e, n.pop()); break } Xs(e, n.pop()), n.pop(), r = ae(e), t = new h("/", "divide", [t, r]) } return t } function ae(e) { var t, i, o, s = { "-": "unaryMinus", "+": "unaryPlus", "~": "bitNot", not: "not" }; return Ze(s, e.token) ? 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(s--, a[t++] = u) : (r[n + u] = r[i + c], r[o + ++s] = c) } return t } function su(e) { return -e - 2 } var uu = Je("csAmd", ["add", "multiply", "transpose"], (function (e) { var t = e.add, r = e.multiply, n = e.transpose; return function (e, o) { if (!o || e <= 0 || e > 3) return null; var s = o._size, u = s[0], c = s[1], f = 0, l = Math.max(16, 10 * Math.sqrt(c)), p = function (e, i, a, o, s) { var u = n(i); if (1 === e && o === a) return t(i, u); if (2 === e) { for (var c = u._index, f = u._ptr, l = 0, p = 0; p < a; p++) { var m = f[p]; if (f[p] = l, !(f[p + 1] - m > s)) for (var h = f[p + 1]; m < h; m++)c[l++] = c[m] } return f[a] = l, i = n(u), r(u, i) } return r(u, i) }(e, o, u, c, l = Math.min(c - 2, l)); !function (e, t, r) { for (var n = e._values, i = e._index, a = e._ptr, o = e._size[1], s = 0, u = 0; u < o; u++) { var c = a[u]; for (a[u] = s; c < a[u + 1]; c++)t(i[c], u, n ? n[c] : 1, r) && (i[s] = i[c], n && (n[s] = n[c]), s++) } a[o] = s, i.splice(s, i.length - s), n && n.splice(s, n.length - s) }(p, a, null); for (var m, h, d, y, g, v, x, b, w, N, M, S, E, A, O, C, _ = p._index, T = p._ptr, q = T[c], z = [], k = [], I = c + 1, B = 2 * (c + 1), D = 3 * (c + 1), R = 4 * (c + 1), j = 5 * (c + 1), P = 6 * (c + 1), U = 7 * (c + 1), F = z, L = function (e, t, r, n, a, o, s, u, c, f, l, p) { for (var m = 0; m < e; m++)r[n + m] = t[m + 1] - t[m]; r[n + e] = 0; for (var h = 0; h <= e; h++)r[a + h] = -1, o[h] = -1, r[s + h] = -1, r[u + h] = -1, r[c + h] = 1, r[f + h] = 1, r[l + h] = 0, r[p + h] = r[n + h]; var d = i(0, 0, r, f, e); return r[l + e] = -2, t[e] = -1, r[f + e] = 0, d }(c, T, k, 0, D, F, B, U, I, P, R, j), H = function (e, t, r, n, i, a, o, s, u, c, f) { for (var l = 0, p = 0; p < e; p++) { var m = r[n + p]; if (0 === m) r[i + p] = -2, l++, t[p] = -1, r[a + p] = 0; else if (m > o) r[s + p] = 0, r[i + p] = -1, l++, t[p] = su(e), r[s + e]++; else { var h = r[u + m]; -1 !== h && (c[h] = p), r[f + p] = r[u + m], r[u + m] = p } } return l }(c, T, k, j, R, P, l, I, D, F, B), $ = 0; H < c;) { for (d = -1; $ < c && -1 === (d = k[D + $]); $++); -1 !== k[B + d] && (F[k[B + d]] = -1), k[D + $] = k[B + d]; var G = k[R + d], V = k[I + d]; H += V; var Z = 0; k[I + d] = -V; var W = T[d], J = 0 === G ? W : q, Y = J; for (y = 1; y <= G + 1; y++) { for (y > G ? (v = d, x = W, b = k[0 + d] - G) : (x = T[v = _[W++]], b = k[0 + v]), g = 1; g <= b; g++)(w = k[I + (m = _[x++])]) <= 0 || (Z += w, k[I + m] = -w, _[Y++] = m, -1 !== k[B + m] && (F[k[B + m]] = F[m]), -1 !== F[m] ? k[B + F[m]] = k[B + m] : k[D + k[j + m]] = k[B + m]); v !== d && (T[v] = su(d), k[P + v] = 0) } for (0 !== G && (q = Y), k[j + d] = Z, T[d] = J, k[0 + d] = Y - J, k[R + d] = -2, L = i(L, f, k, P, c), N = J; N < Y; N++)if (!((M = k[R + (m = _[N])]) <= 0)) { var X = L - (w = -k[I + m]); for (W = T[m], S = T[m] + M - 1; W <= S; W++)k[P + (v = _[W])] >= L ? k[P + v] -= w : 0 !== k[P + v] && (k[P + v] = k[j + v] + X) } for (N = J; N < Y; N++) { for (E = (S = T[m = _[N]]) + k[R + m] - 1, A = S, O = 0, C = 0, W = S; W <= E; W++)if (0 !== k[P + (v = _[W])]) { var Q = k[P + v] - L; Q > 0 ? (C += Q, _[A++] = v, O += v) : (T[v] = su(d), k[P + v] = 0) } k[R + m] = A - S + 1; var K = A, ee = S + k[0 + m]; for (W = E + 1; W < ee; W++) { var te = k[I + (h = _[W])]; te <= 0 || (C += te, _[A++] = h, O += h) } 0 === C ? (T[m] = su(d), Z -= w = -k[I + m], V += w, H += w, k[I + m] = 0, k[R + m] = -1) : (k[j + m] = Math.min(k[j + m], C), _[A] = _[K], _[K] = _[S], _[S] = d, k[0 + m] = A - S + 1, O = (O < 0 ? -O : O) % c, k[B + m] = k[U + O], k[U + O] = m, F[m] = O) } for (k[j + d] = Z, L = i(L + (f = Math.max(f, Z)), f, k, P, c), N = J; N < Y; N++)if (!(k[I + (m = _[N])] >= 0)) for (m = k[U + (O = F[m])], k[U + O] = -1; -1 !== m && -1 !== k[B + m]; m = k[B + m], L++) { for (b = k[0 + m], M = k[R + m], W = T[m] + 1; W <= T[m] + b - 1; W++)k[P + _[W]] = L; var re = m; for (h = k[B + m]; -1 !== h;) { var ne = k[0 + h] === b && k[R + h] === M; for (W = T[h] + 1; ne && W <= T[h] + b - 1; W++)k[P + _[W]] !== L && (ne = 0); ne ? (T[h] = su(m), k[I + m] += k[I + h], k[I + h] = 0, k[R + h] = -1, h = k[B + h], k[B + re] = h) : (re = h, h = k[B + h]) } } for (W = J, N = J; N < Y; N++)(w = -k[I + (m = _[N])]) <= 0 || (k[I + m] = w, C = k[j + m] + Z - w, -1 !== k[D + (C = Math.min(C, c - H - w))] && (F[k[D + C]] = m), k[B + m] = k[D + C], F[m] = -1, k[D + C] = m, $ = Math.min($, C), k[j + m] = C, _[W++] = m); k[I + d] = V, 0 == (k[0 + d] = W - J) && (T[d] = -1, k[P + d] = 0), 0 !== G && (q = W) } for (m = 0; m < c; m++)T[m] = su(T[m]); for (h = 0; h <= c; h++)k[D + h] = -1; for (h = c; h >= 0; h--)k[I + h] > 0 || (k[B + h] = k[D + T[h]], k[D + T[h]] = h); for (v = c; v >= 0; v--)k[I + v] <= 0 || -1 !== T[v] && (k[B + v] = k[D + T[v]], k[D + T[v]] = v); for (d = 0, m = 0; m <= c; m++)-1 === T[m] && (d = ou(m, d, k, D, B, z, P)); return z.splice(z.length - 1, 1), z }; function i(e, t, r, n, i) { if (e < 2 || e + t < 0) { for (var a = 0; a < i; a++)0 !== r[n + a] && (r[n + a] = 1); e = 2 } return e } function a(e, t) { return e !== t } })); function cu(e, t, r, n, i, a, o) { var s, u, c, f = 0; if (e <= t || r[n + t] <= r[i + e]) return -1; r[i + e] = r[n + t]; var l = r[a + e]; if (r[a + e] = t, -1 === l) f = 1, c = e; else { for (f = 2, c = l; c !== r[o + c]; c = r[o + c]); for (s = l; s !== c; s = u)u = r[o + s], r[o + s] = c } return { jleaf: f, q: c } } var fu = Je("csCounts", ["transpose"], (function (e) { var t = e.transpose; return function (e, r, n, i) { if (!e || !r || !n) return null; var a, o, s, u, c, f, l, p = e._size, m = p[0], h = p[1], d = 4 * h + (i ? h + m + 1 : 0), y = [], g = h, v = 2 * h, x = 3 * h, b = 4 * h, w = 5 * h + 1; for (s = 0; s < d; s++)y[s] = -1; var N = [], M = t(e), S = M._index, E = M._ptr; for (s = 0; s < h; s++)for (N[o = n[s]] = -1 === y[x + o] ? 1 : 0; -1 !== o && -1 === y[x + o]; o = r[o])y[x + o] = s; if (i) { for (s = 0; s < h; s++)y[n[s]] = s; for (a = 0; a < m; a++) { for (s = h, f = E[a], l = E[a + 1], c = f; c < l; c++)s = Math.min(s, y[S[c]]); y[w + a] = y[b + s], y[b + s] = a } } for (a = 0; a < h; a++)y[0 + a] = a; for (s = 0; s < h; s++) { for (-1 !== r[o = n[s]] && N[r[o]]--, u = i ? y[b + s] : o; -1 !== u; u = i ? y[w + u] : -1)for (c = E[u]; c < E[u + 1]; c++) { var A = cu(a = S[c], o, y, x, g, v, 0); A.jleaf >= 1 && N[o]++, 2 === A.jleaf && N[A.q]-- } -1 !== r[o] && (y[0 + o] = r[o]) } for (o = 0; o < h; o++)-1 !== r[o] && (N[r[o]] += N[o]); return N } })), lu = Je("csSqr", ["add", "multiply", "transpose"], (function (e) { var t = e.add, r = e.multiply, n = e.transpose, i = uu({ add: t, multiply: r, transpose: n }), a = fu({ transpose: n }); return function (e, t, r) { var n, o = t._ptr, s = t._size[1], u = {}; if (u.q = i(e, t), e && !u.q) return null; if (r) { var c = e ? function (e, t, r, n) { for (var i = e._values, a = e._index, o = e._ptr, s = e._size, u = e._datatype, c = s[0], f = s[1], l = n && e._values ? [] : null, p = [], m = [], h = 0, d = 0; d < f; d++) { m[d] = h; for (var y = r ? r[d] : d, g = o[y], v = o[y + 1], x = g; x < v; x++) { var b = t ? t[a[x]] : a[x]; p[h] = b, l && (l[h] = i[x]), h++ } } return m[f] = h, e.createSparseMatrix({ values: l, index: p, ptr: m, size: [c, f], datatype: u }) }(t, null, u.q, 0) : t; u.parent = function (e, t) { if (!e) return null; var r, n, i = e._index, a = e._ptr, o = e._size, s = o[0], u = o[1], c = [], f = [], l = u; if (t) for (r = 0; r < s; r++)f[l + r] = -1; for (var p = 0; p < u; p++) { c[p] = -1, f[0 + p] = -1; for (var m = a[p], h = a[p + 1], d = m; d < h; d++) { var y = i[d]; for (r = t ? f[l + y] : y; -1 !== r && r < p; r = n)n = f[0 + r], f[0 + r] = p, -1 === n && (c[r] = p); t && (f[l + y] = p) } } return c }(c, 1); var f = function (e, t) { if (!e) return null; var r, n = 0, i = [], a = [], o = t, s = 2 * t; for (r = 0; r < t; r++)a[0 + r] = -1; for (r = t - 1; r >= 0; r--)-1 !== e[r] && (a[o + r] = a[0 + e[r]], a[0 + e[r]] = r); for (r = 0; r < t; r++)-1 === e[r] && (n = ou(r, n, a, 0, o, i, s)); return i }(u.parent, s); if (u.cp = a(c, u.parent, f, 1), c && u.parent && u.cp && function (e, t) { var r = e._ptr, n = e._index, i = e._size, a = i[0], o = i[1]; t.pinv = [], t.leftmost = []; var s, u, c, f, l, p = t.parent, m = t.pinv, h = t.leftmost, d = [], y = a, g = a + o, v = a + 2 * o; for (u = 0; u < o; u++)d[y + u] = -1, d[g + u] = -1, d[v + u] = 0; for (s = 0; s < a; s++)h[s] = -1; for (u = o - 1; u >= 0; u--)for (f = r[u], l = r[u + 1], c = f; c < l; c++)h[n[c]] = u; for (s = a - 1; s >= 0; s--)m[s] = -1, -1 !== (u = h[s]) && (0 == d[v + u]++ && (d[g + u] = s), d[0 + s] = d[y + u], d[y + u] = s); for (t.lnz = 0, t.m2 = a, u = 0; u < o; u++)if (s = d[y + u], t.lnz++, s < 0 && (s = t.m2++), m[s] = u, !(--v[u] <= 0)) { t.lnz += d[v + u]; var x = p[u]; -1 !== x && (0 === d[v + x] && (d[g + x] = d[g + u]), d[0 + d[g + u]] = d[y + x], d[y + x] = d[0 + s], d[v + x] += d[v + u]) } for (s = 0; s < a; s++)m[s] < 0 && (m[s] = u++); return !0 }(c, u)) for (u.unz = 0, n = 0; n < s; n++)u.unz += u.cp[n] } else u.unz = 4 * o[s] + s, u.lnz = u.unz; return u } })); function pu(e, t) { return e[t] < 0 } function mu(e, t) { e[t] = su(e[t]) } function hu(e) { return e < 0 ? su(e) : e } function du(e, t, r, n, i) { var a, o, s, u = t._index, c = t._ptr, f = t._size[1], l = 0; for (n[0] = e; l >= 0;) { e = n[l]; var p = i ? i[e] : e; pu(c, e) || (mu(c, e), n[f + l] = p < 0 ? 0 : hu(c[p])); var m = 1; for (o = n[f + l], s = p < 0 ? 0 : hu(c[p + 1]); o < s; o++)if (!pu(c, a = u[o])) { n[f + l] = o, n[++l] = a, m = 0; break } m && (l--, n[--r] = e) } return r } var yu = Je("csSpsolve", ["divideScalar", "multiply", "subtract"], (function (e) { var t = e.divideScalar, r = e.multiply, n = e.subtract; return function (e, i, a, o, s, u, c) { var f, l, p, m, h = e._values, d = e._index, y = e._ptr, g = e._size[1], v = i._values, x = i._index, b = i._ptr, w = function (e, t, r, n, i) { var a, o, s, u = e._ptr, c = e._size, f = t._index, l = t._ptr, p = c[1], m = p; for (o = l[r], s = l[r + 1], a = o; a < s; a++) { var h = f[a]; pu(u, h) || (m = du(h, e, m, n, i)) } for (a = m; a < p; a++)mu(u, n[a]); return m }(e, i, a, o, u); for (f = w; f < g; f++)s[o[f]] = 0; for (l = b[a], p = b[a + 1], f = l; f < p; f++)s[x[f]] = v[f]; for (var N = w; N < g; N++) { var M = o[N], S = u ? u[M] : M; if (!(S < 0)) for (l = y[S], p = y[S + 1], s[M] = t(s[M], h[c ? l : p - 1]), f = c ? l + 1 : l, m = c ? p : p - 1; f < m; f++) { var E = d[f]; s[E] = n(s[E], r(h[f], s[M])) } } return w } })), gu = Je("csLu", ["abs", "divideScalar", "multiply", "subtract", "larger", "largerEq", "SparseMatrix"], (function (e) { var t = e.abs, r = e.divideScalar, n = e.multiply, i = e.subtract, a = e.larger, o = e.largerEq, s = e.SparseMatrix, u = yu({ divideScalar: r, multiply: n, subtract: i }); return function (e, i, c) { if (!e) return null; var f, l = e._size[1], p = 100, m = 100; i && (f = i.q, p = i.lnz || p, m = i.unz || m); var h, d, y = [], g = [], v = [], x = new s({ values: y, index: g, ptr: v, size: [l, l] }), b = [], w = [], N = [], M = new s({ values: b, index: w, ptr: N, size: [l, l] }), S = [], E = [], A = []; for (h = 0; h < l; h++)E[h] = 0, S[h] = -1, v[h + 1] = 0; p = 0, m = 0; for (var O = 0; O < l; O++) { v[O] = p, N[O] = m; var C = f ? f[O] : O, _ = u(x, e, C, A, E, S, 1), T = -1, q = -1; for (d = _; d < l; d++)if (S[h = A[d]] < 0) { var z = t(E[h]); a(z, q) && (q = z, T = h) } else w[m] = S[h], b[m++] = E[h]; if (-1 === T || q <= 0) return null; S[C] < 0 && o(t(E[C]), n(q, c)) && (T = C); var k = E[T]; for (w[m] = O, b[m++] = k, S[T] = O, g[p] = T, y[p++] = 1, d = _; d < l; d++)S[h = A[d]] < 0 && (g[p] = h, y[p++] = r(E[h], k)), E[h] = 0 } for (v[l] = p, N[l] = m, d = 0; d < p; d++)g[d] = S[g[d]]; return y.splice(p, y.length - p), g.splice(p, g.length - p), b.splice(m, b.length - m), w.splice(m, w.length - m), { L: x, U: M, pinv: S } } })), vu = Je("slu", ["typed", "abs", "add", "multiply", "transpose", "divideScalar", "subtract", "larger", "largerEq", "SparseMatrix"], (function (e) { var t = e.typed, r = e.abs, n = e.add, i = e.multiply, a = e.transpose, o = e.divideScalar, s = e.subtract, u = e.larger, c = e.largerEq, f = e.SparseMatrix, l = lu({ add: n, multiply: i, transpose: a }), p = gu({ abs: r, divideScalar: o, multiply: i, subtract: s, larger: u, largerEq: c, SparseMatrix: f }); return t("slu", { "SparseMatrix, number, number": function (e, t, r) { if (!V(t) || t < 0 || t > 3) throw new Error("Symbolic Ordering and Analysis order must be an integer number in the interval [0, 3]"); if (r < 0 || r > 1) throw new Error("Partial pivoting threshold must be a number from 0 to 1"); var n = l(t, e, !1), i = p(e, n, r); return { L: i.L, U: i.U, p: i.pinv, q: n.q, toString: function () { return "L: " + this.L.toString() + "\nU: " + this.U.toString() + "\np: " + this.p.toString() + (this.q ? "\nq: " + this.q.toString() : "") + "\n" } } } }) })); function xu(e, t) { var r, n = t.length, i = []; if (e) for (r = 0; r < n; r++)i[e[r]] = t[r]; else for (r = 0; r < n; r++)i[r] = t[r]; return i } var bu = ["typed", "matrix", "lup", "slu", "usolve", "lsolve", "DenseMatrix"], wu = Je("lusolve", bu, (function (e) { var t = e.typed, r = e.matrix, n = e.lup, i = e.slu, a = e.usolve, o = e.lsolve, s = ma({ DenseMatrix: e.DenseMatrix }); return t("lusolve", { "Array, Array | Matrix": function (e, t) { e = r(e); var i = n(e); return c(i.L, i.U, i.p, null, t).valueOf() }, "DenseMatrix, Array | Matrix": function (e, t) { var r = n(e); return c(r.L, r.U, r.p, null, t) }, "SparseMatrix, Array | Matrix": function (e, t) { var r = n(e); return c(r.L, r.U, r.p, null, t) }, "SparseMatrix, Array | Matrix, number, number": function (e, t, r, n) { var a = i(e, r, n); return c(a.L, a.U, a.p, a.q, t) }, "Object, Array | Matrix": function (e, t) { return c(e.L, e.U, e.p, e.q, t) } }); function u(e) { if (p(e)) return e; if (l(e)) return r(e); throw new TypeError("Invalid Matrix LU decomposition") } function c(e, t, r, n, i) { e = u(e), t = u(t), r && ((i = s(e, i, !0))._data = xu(r, i._data)); var c = o(e, i), f = a(t, c); return n && (f._data = xu(n, f._data)), f } })), Nu = ["parse"], Mu = Je("Help", Nu, (function (e) { var t = e.parse; function r(e) { if (!(this instanceof r)) throw new SyntaxError("Constructor must be called with the new operator"); if (!e) throw new Error('Argument "doc" missing'); this.doc = e } return r.prototype.type = "Help", r.prototype.isHelp = !0, r.prototype.toString = function () { var e = this.doc || {}, r = "\n"; if (e.name && (r += "Name: " + e.name + "\n\n"), e.category && (r += "Category: " + e.category + "\n\n"), e.description && (r += "Description:\n " + e.description + "\n\n"), e.syntax && (r += "Syntax:\n " + e.syntax.join("\n ") + "\n\n"), e.examples) { r += "Examples:\n"; for (var n = {}, i = 0; i < e.examples.length; i++) { var a = e.examples[i]; r += " " + a + "\n"; var o = void 0; try { o = t(a).compile().evaluate(n) } catch (e) { o = e } void 0 === o || b(o) || (r += " " + ge(o, { precision: 14 }) + "\n") } r += "\n" } return e.seealso && e.seealso.length && (r += "See also: " + e.seealso.join(", ") + "\n"), r }, r.prototype.toJSON = function () { var e = Fe(this.doc); return e.mathjs = "Help", e }, r.fromJSON = function (e) { var t = {}; return Object.keys(e).filter((function (e) { return "mathjs" !== e })).forEach((function (r) { t[r] = e[r] })), new r(t) }, r.prototype.valueOf = r.prototype.toString, r }), { isClass: !0 }), Su = ["?on", "math"], Eu = Je("Chain", Su, (function (e) { var t = e.on, r = e.math; function n(e) { if (!(this instanceof n)) throw new SyntaxError("Constructor must be called with the new operator"); L(e) ? this.value = e.value : this.value = e } function i(e, t) { Ve(n.prototype, e, (function () { var e = t(); if ("function" == typeof e) return a(e) })) } function a(e) { return function () { for (var t = [this.value], r = 0; r < arguments.length; r++)t[r + 1] = arguments[r]; return new n(e.apply(e, t)) } } n.prototype.type = "Chain", n.prototype.isChain = !0, n.prototype.done = function () { return this.value }, n.prototype.valueOf = function () { return this.value }, n.prototype.toString = function () { return ge(this.value) }, n.prototype.toJSON = function () { return { mathjs: "Chain", value: this.value } }, n.fromJSON = function (e) { return new n(e.value) }, n.createProxy = function (e, t) { if ("string" == typeof e) u = e, "function" == typeof (c = t) && (n.prototype[u] = a(c)); else { var r = function (t) { Ze(e, t) && void 0 === o[t] && i(t, (function () { return e[t] })) }; for (var s in e) r(s) } var u, c }; var o = { expression: !0, docs: !0, type: !0, classes: !0, json: !0, error: !0, isChain: !0 }; return n.createProxy(r), t && t("import", (function (e, t, r) { r || i(e, t) })), n }), { isClass: !0 }), Au = { name: "pi", category: "Constants", syntax: ["pi"], description: "The number pi is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159", examples: ["pi", "sin(pi/2)"], seealso: ["tau"] }, Ou = { name: "e", category: "Constants", syntax: ["e"], description: "Euler's number, the base of the natural logarithm. Approximately equal to 2.71828", examples: ["e", "e ^ 2", "exp(2)", "log(e)"], seealso: ["exp"] }, Cu = { bignumber: { name: "bignumber", category: "Construction", syntax: ["bignumber(x)"], description: "Create a big number from a number or string.", examples: ["0.1 + 0.2", "bignumber(0.1) + bignumber(0.2)", 'bignumber("7.2")', 'bignumber("7.2e500")', "bignumber([0.1, 0.2, 0.3])"], seealso: ["boolean", "complex", "fraction", "index", "matrix", "string", "unit"] }, boolean: { name: "boolean", category: "Construction", syntax: ["x", "boolean(x)"], description: "Convert a string or number into a boolean.", examples: ["boolean(0)", "boolean(1)", "boolean(3)", 'boolean("true")', 'boolean("false")', "boolean([1, 0, 1, 1])"], seealso: ["bignumber", "complex", "index", "matrix", "number", "string", "unit"] }, complex: { name: "complex", category: "Construction", syntax: ["complex()", "complex(re, im)", "complex(string)"], description: "Create a complex number.", examples: ["complex()", "complex(2, 3)", 'complex("7 - 2i")'], seealso: ["bignumber", "boolean", "index", "matrix", "number", "string", "unit"] }, createUnit: { name: "createUnit", category: "Construction", syntax: ["createUnit(definitions)", "createUnit(name, definition)"], description: "Create a user-defined unit and register it with the Unit type.", examples: ['createUnit("foo")', 'createUnit("knot", {definition: "0.514444444 m/s", aliases: ["knots", "kt", "kts"]})', 'createUnit("mph", "1 mile/hour")'], seealso: ["unit", "splitUnit"] }, fraction: { name: "fraction", category: "Construction", syntax: ["fraction(num)", "fraction(num,den)"], description: "Create a fraction from a number or from a numerator and denominator.", examples: ["fraction(0.125)", "fraction(1, 3) + fraction(2, 5)"], seealso: ["bignumber", "boolean", "complex", "index", "matrix", "string", "unit"] }, index: { name: "index", category: "Construction", syntax: ["[start]", "[start:end]", "[start:step:end]", "[start1, start 2, ...]", "[start1:end1, start2:end2, ...]", "[start1:step1:end1, start2:step2:end2, ...]"], description: "Create an index to get or replace a subset of a matrix", examples: ["[]", "[1, 2, 3]", "A = [1, 2, 3; 4, 5, 6]", "A[1, :]", "A[1, 2] = 50", "A[0:2, 0:2] = ones(2, 2)"], seealso: ["bignumber", "boolean", "complex", "matrix,", "number", "range", "string", "unit"] }, matrix: { name: "matrix", category: "Construction", syntax: ["[]", "[a1, b1, ...; a2, b2, ...]", "matrix()", 'matrix("dense")', "matrix([...])"], description: "Create a matrix.", examples: ["[]", "[1, 2, 3]", "[1, 2, 3; 4, 5, 6]", "matrix()", "matrix([3, 4])", 'matrix([3, 4; 5, 6], "sparse")', 'matrix([3, 4; 5, 6], "sparse", "number")'], seealso: ["bignumber", "boolean", "complex", "index", "number", "string", "unit", "sparse"] }, number: { name: "number", category: "Construction", syntax: ["x", "number(x)", "number(unit, valuelessUnit)"], description: "Create a number or convert a string or boolean into a number.", examples: ["2", "2e3", "4.05", "number(2)", 'number("7.2")', "number(true)", "number([true, false, true, true])", 'number(unit("52cm"), "m")'], seealso: ["bignumber", "boolean", "complex", "fraction", "index", "matrix", "string", "unit"] }, sparse: { name: "sparse", category: "Construction", syntax: ["sparse()", "sparse([a1, b1, ...; a1, b2, ...])", 'sparse([a1, b1, ...; a1, b2, ...], "number")'], description: "Create a sparse matrix.", examples: ["sparse()", "sparse([3, 4; 5, 6])", 'sparse([3, 0; 5, 0], "number")'], seealso: ["bignumber", "boolean", "complex", "index", "number", "string", "unit", "matrix"] }, splitUnit: { name: "splitUnit", category: "Construction", syntax: ["splitUnit(unit: Unit, parts: Unit[])"], description: "Split a unit in an array of units whose sum is equal to the original unit.", examples: ['splitUnit(1 m, ["feet", "inch"])'], seealso: ["unit", "createUnit"] }, string: { name: "string", category: "Construction", syntax: ['"text"', "string(x)"], description: "Create a string or convert a value to a string", examples: ['"Hello World!"', "string(4.2)", "string(3 + 2i)"], seealso: ["bignumber", "boolean", "complex", "index", "matrix", "number", "unit"] }, unit: { name: "unit", category: "Construction", syntax: ["value unit", "unit(value, unit)", "unit(string)"], description: "Create a unit.", examples: ["5.5 mm", "3 inch", 'unit(7.1, "kilogram")', 'unit("23 deg")'], seealso: ["bignumber", "boolean", "complex", "index", "matrix", "number", "string"] }, e: Ou, E: Ou, false: { name: "false", category: "Constants", syntax: ["false"], description: "Boolean value false", examples: ["false"], seealso: ["true"] }, i: { name: "i", category: "Constants", syntax: ["i"], description: "Imaginary unit, defined as i*i=-1. A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.", examples: ["i", "i * i", "sqrt(-1)"], seealso: [] }, Infinity: { name: "Infinity", category: "Constants", syntax: ["Infinity"], description: "Infinity, a number which is larger than the maximum number that can be handled by a floating point number.", examples: ["Infinity", "1 / 0"], seealso: [] }, LN2: { name: "LN2", category: "Constants", syntax: ["LN2"], description: "Returns the natural logarithm of 2, approximately equal to 0.693", examples: ["LN2", "log(2)"], seealso: [] }, LN10: { name: "LN10", category: "Constants", syntax: ["LN10"], description: "Returns the natural logarithm of 10, approximately equal to 2.302", examples: ["LN10", "log(10)"], seealso: [] }, LOG2E: { name: "LOG2E", category: "Constants", syntax: ["LOG2E"], description: "Returns the base-2 logarithm of E, approximately equal to 1.442", examples: ["LOG2E", "log(e, 2)"], seealso: [] }, LOG10E: { name: "LOG10E", category: "Constants", syntax: ["LOG10E"], description: "Returns the base-10 logarithm of E, approximately equal to 0.434", examples: ["LOG10E", "log(e, 10)"], seealso: [] }, NaN: { name: "NaN", category: "Constants", syntax: ["NaN"], description: "Not a number", examples: ["NaN", "0 / 0"], seealso: [] }, null: { name: "null", category: "Constants", syntax: ["null"], description: "Value null", examples: ["null"], seealso: ["true", "false"] }, pi: Au, PI: Au, phi: { name: "phi", category: "Constants", syntax: ["phi"], description: "Phi is the golden ratio. Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Phi is defined as `(1 + sqrt(5)) / 2` and is approximately 1.618034...", examples: ["phi"], seealso: [] }, SQRT1_2: { name: "SQRT1_2", category: "Constants", syntax: ["SQRT1_2"], description: "Returns the square root of 1/2, approximately equal to 0.707", examples: ["SQRT1_2", "sqrt(1/2)"], seealso: [] }, SQRT2: { name: "SQRT2", category: "Constants", syntax: ["SQRT2"], description: "Returns the square root of 2, approximately equal to 1.414", examples: ["SQRT2", "sqrt(2)"], seealso: [] }, tau: { name: "tau", category: "Constants", syntax: ["tau"], description: "Tau is the ratio constant of a circle's circumference to radius, equal to 2 * pi, approximately 6.2832.", examples: ["tau", "2 * pi"], seealso: ["pi"] }, true: { name: "true", category: "Constants", syntax: ["true"], description: "Boolean value true", examples: ["true"], seealso: ["false"] }, version: { name: "version", category: "Constants", syntax: ["version"], description: "A string with the version number of math.js", examples: ["version"], seealso: [] }, speedOfLight: { description: "Speed of light in vacuum", examples: ["speedOfLight"] }, gravitationConstant: { description: "Newtonian constant of gravitation", examples: ["gravitationConstant"] }, planckConstant: { description: "Planck constant", examples: ["planckConstant"] }, reducedPlanckConstant: { description: "Reduced Planck constant", examples: ["reducedPlanckConstant"] }, magneticConstant: { description: "Magnetic constant (vacuum permeability)", examples: ["magneticConstant"] }, electricConstant: { description: "Electric constant (vacuum permeability)", examples: ["electricConstant"] }, vacuumImpedance: { description: "Characteristic impedance of vacuum", examples: ["vacuumImpedance"] }, coulomb: { description: "Coulomb's constant", examples: ["coulomb"] }, elementaryCharge: { description: "Elementary charge", examples: ["elementaryCharge"] }, bohrMagneton: { description: "Borh magneton", examples: ["bohrMagneton"] }, conductanceQuantum: { description: "Conductance quantum", examples: ["conductanceQuantum"] }, inverseConductanceQuantum: { description: "Inverse conductance quantum", examples: ["inverseConductanceQuantum"] }, magneticFluxQuantum: { description: "Magnetic flux quantum", examples: ["magneticFluxQuantum"] }, nuclearMagneton: { description: "Nuclear magneton", examples: ["nuclearMagneton"] }, klitzing: { description: "Von Klitzing constant", examples: ["klitzing"] }, bohrRadius: { description: "Borh radius", examples: ["bohrRadius"] }, classicalElectronRadius: { description: "Classical electron radius", examples: ["classicalElectronRadius"] }, electronMass: { description: "Electron mass", examples: ["electronMass"] }, fermiCoupling: { description: "Fermi coupling constant", examples: ["fermiCoupling"] }, fineStructure: { description: "Fine-structure constant", examples: ["fineStructure"] }, hartreeEnergy: { description: "Hartree energy", examples: ["hartreeEnergy"] }, protonMass: { description: "Proton mass", examples: ["protonMass"] }, deuteronMass: { description: "Deuteron Mass", examples: ["deuteronMass"] }, neutronMass: { description: "Neutron mass", examples: ["neutronMass"] }, quantumOfCirculation: { description: "Quantum of circulation", examples: ["quantumOfCirculation"] }, rydberg: { description: "Rydberg constant", examples: ["rydberg"] }, thomsonCrossSection: { description: "Thomson cross section", examples: ["thomsonCrossSection"] }, weakMixingAngle: { description: "Weak mixing angle", examples: ["weakMixingAngle"] }, efimovFactor: { description: "Efimov factor", examples: ["efimovFactor"] }, atomicMass: { description: "Atomic mass constant", examples: ["atomicMass"] }, avogadro: { description: "Avogadro's number", examples: ["avogadro"] }, boltzmann: { description: "Boltzmann constant", examples: ["boltzmann"] }, faraday: { description: "Faraday constant", examples: ["faraday"] }, firstRadiation: { description: "First radiation constant", examples: ["firstRadiation"] }, loschmidt: { description: "Loschmidt constant at T=273.15 K and p=101.325 kPa", examples: ["loschmidt"] }, gasConstant: { description: "Gas constant", examples: ["gasConstant"] }, molarPlanckConstant: { description: "Molar Planck constant", examples: ["molarPlanckConstant"] }, molarVolume: { description: "Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa", examples: ["molarVolume"] }, sackurTetrode: { description: "Sackur-Tetrode constant at T=1 K and p=101.325 kPa", examples: ["sackurTetrode"] }, secondRadiation: { description: "Second radiation constant", examples: ["secondRadiation"] }, stefanBoltzmann: { description: "Stefan-Boltzmann constant", examples: ["stefanBoltzmann"] }, wienDisplacement: { description: "Wien displacement law constant", examples: ["wienDisplacement"] }, molarMass: { description: "Molar mass constant", examples: ["molarMass"] }, molarMassC12: { description: "Molar mass constant of carbon-12", examples: ["molarMassC12"] }, gravity: { description: "Standard acceleration of gravity (standard acceleration of free-fall on Earth)", examples: ["gravity"] }, planckLength: { description: "Planck length", examples: ["planckLength"] }, planckMass: { description: "Planck mass", examples: ["planckMass"] }, planckTime: { description: "Planck time", examples: ["planckTime"] }, planckCharge: { description: "Planck charge", examples: ["planckCharge"] }, planckTemperature: { description: "Planck temperature", examples: ["planckTemperature"] }, derivative: { name: "derivative", category: "Algebra", syntax: ["derivative(expr, variable)", "derivative(expr, variable, {simplify: boolean})"], description: "Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.", examples: ['derivative("2x^3", "x")', 'derivative("2x^3", "x", {simplify: false})', 'derivative("2x^2 + 3x + 4", "x")', 'derivative("sin(2x)", "x")', 'f = parse("x^2 + x")', 'x = parse("x")', "df = derivative(f, x)", "df.evaluate({x: 3})"], seealso: ["simplify", "parse", "evaluate"] }, lsolve: { name: "lsolve", category: "Algebra", syntax: ["x=lsolve(L, b)"], description: "Finds one solution of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.", examples: ["a = [-2, 3; 2, 1]", "b = [11, 9]", "x = lsolve(a, b)"], seealso: ["lsolveAll", "lup", "lusolve", "usolve", "matrix", "sparse"] }, lsolveAll: { name: "lsolveAll", category: "Algebra", syntax: ["x=lsolveAll(L, b)"], description: "Finds all solutions of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.", examples: ["a = [-2, 3; 2, 1]", "b = [11, 9]", "x = lsolve(a, b)"], seealso: ["lsolve", "lup", "lusolve", "usolve", "matrix", "sparse"] }, lup: { name: "lup", category: "Algebra", syntax: ["lup(m)"], description: "Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U", examples: ["lup([[2, 1], [1, 4]])", "lup(matrix([[2, 1], [1, 4]]))", "lup(sparse([[2, 1], [1, 4]]))"], seealso: ["lusolve", "lsolve", "usolve", "matrix", "sparse", "slu", "qr"] }, lusolve: { name: "lusolve", category: "Algebra", syntax: ["x=lusolve(A, b)", "x=lusolve(lu, b)"], description: "Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.", examples: ["a = [-2, 3; 2, 1]", "b = [11, 9]", "x = lusolve(a, b)"], seealso: ["lup", "slu", "lsolve", "usolve", "matrix", "sparse"] }, simplify: { name: "simplify", category: "Algebra", syntax: ["simplify(expr)", "simplify(expr, rules)"], description: "Simplify an expression tree.", examples: ['simplify("3 + 2 / 4")', 'simplify("2x + x")', 'f = parse("x * (x + 2 + x)")', "simplified = simplify(f)", "simplified.evaluate({x: 2})"], seealso: ["derivative", "parse", "evaluate"] }, rationalize: { name: "rationalize", category: "Algebra", syntax: ["rationalize(expr)", "rationalize(expr, scope)", "rationalize(expr, scope, detailed)"], description: "Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.", examples: ['rationalize("2x/y - y/(x+1)")', 'rationalize("2x/y - y/(x+1)", true)'], seealso: ["simplify"] }, slu: { name: "slu", category: "Algebra", syntax: ["slu(A, order, threshold)"], description: "Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U", examples: ["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"], seealso: ["lusolve", "lsolve", "usolve", "matrix", "sparse", "lup", "qr"] }, usolve: { name: "usolve", category: "Algebra", syntax: ["x=usolve(U, b)"], description: "Finds one solution of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.", examples: ["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"], seealso: ["usolveAll", "lup", "lusolve", "lsolve", "matrix", "sparse"] }, usolveAll: { name: "usolveAll", category: "Algebra", syntax: ["x=usolve(U, b)"], description: "Finds all solutions of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.", examples: ["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"], seealso: ["usolve", "lup", "lusolve", "lsolve", "matrix", "sparse"] }, qr: { name: "qr", category: "Algebra", syntax: ["qr(A)"], description: "Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.", examples: ["qr([[1, -1, 4], [1, 4, -2], [1, 4, 2], [1, -1, 0]])"], seealso: ["lup", "slu", "matrix"] }, abs: { name: "abs", category: "Arithmetic", syntax: ["abs(x)"], description: "Compute the absolute value.", examples: ["abs(3.5)", "abs(-4.2)"], seealso: ["sign"] }, add: { name: "add", category: "Operators", syntax: ["x + y", "add(x, y)"], description: "Add two values.", examples: ["a = 2.1 + 3.6", "a - 3.6", "3 + 2i", "3 cm + 2 inch", '"2.3" + "4"'], seealso: ["subtract"] }, cbrt: { name: "cbrt", category: "Arithmetic", syntax: ["cbrt(x)", "cbrt(x, allRoots)"], description: "Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned", examples: ["cbrt(64)", "cube(4)", "cbrt(-8)", "cbrt(2 + 3i)", "cbrt(8i)", "cbrt(8i, true)", "cbrt(27 m^3)"], seealso: ["square", "sqrt", "cube", "multiply"] }, ceil: { name: "ceil", category: "Arithmetic", syntax: ["ceil(x)"], description: "Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.", examples: ["ceil(3.2)", "ceil(3.8)", "ceil(-4.2)"], seealso: ["floor", "fix", "round"] }, cube: { name: "cube", category: "Arithmetic", syntax: ["cube(x)"], description: "Compute the cube of a value. The cube of x is x * x * x.", examples: ["cube(2)", "2^3", "2 * 2 * 2"], seealso: ["multiply", "square", "pow"] }, divide: { name: "divide", category: "Operators", syntax: ["x / y", "divide(x, y)"], description: "Divide two values.", examples: ["a = 2 / 3", "a * 3", "4.5 / 2", "3 + 4 / 2", "(3 + 4) / 2", "18 km / 4.5"], seealso: ["multiply"] }, dotDivide: { name: "dotDivide", category: "Operators", syntax: ["x ./ y", "dotDivide(x, y)"], description: "Divide two values element wise.", examples: ["a = [1, 2, 3; 4, 5, 6]", "b = [2, 1, 1; 3, 2, 5]", "a ./ b"], seealso: ["multiply", "dotMultiply", "divide"] }, dotMultiply: { name: "dotMultiply", category: "Operators", syntax: ["x .* y", "dotMultiply(x, y)"], description: "Multiply two values element wise.", examples: ["a = [1, 2, 3; 4, 5, 6]", "b = [2, 1, 1; 3, 2, 5]", "a .* b"], seealso: ["multiply", "divide", "dotDivide"] }, dotPow: { name: "dotPow", category: "Operators", syntax: ["x .^ y", "dotPow(x, y)"], description: "Calculates the power of x to y element wise.", examples: ["a = [1, 2, 3; 4, 5, 6]", "a .^ 2"], seealso: ["pow"] }, exp: { name: "exp", category: "Arithmetic", syntax: ["exp(x)"], description: "Calculate the exponent of a value.", examples: ["exp(1.3)", "e ^ 1.3", "log(exp(1.3))", "x = 2.4", "(exp(i*x) == cos(x) + i*sin(x)) # Euler's formula"], seealso: ["expm", "expm1", "pow", "log"] }, expm: { name: "expm", category: "Arithmetic", syntax: ["exp(x)"], description: "Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.", examples: ["expm([[0,2],[0,0]])"], seealso: ["exp"] }, expm1: { name: "expm1", category: "Arithmetic", syntax: ["expm1(x)"], description: "Calculate the value of subtracting 1 from the exponential value.", examples: ["expm1(2)", "pow(e, 2) - 1", "log(expm1(2) + 1)"], seealso: ["exp", "pow", "log"] }, fix: { name: "fix", category: "Arithmetic", syntax: ["fix(x)"], description: "Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.", examples: ["fix(3.2)", "fix(3.8)", "fix(-4.2)", "fix(-4.8)"], seealso: ["ceil", "floor", "round"] }, floor: { name: "floor", category: "Arithmetic", syntax: ["floor(x)"], description: "Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.", examples: ["floor(3.2)", "floor(3.8)", "floor(-4.2)"], seealso: ["ceil", "fix", "round"] }, gcd: { name: "gcd", category: "Arithmetic", syntax: ["gcd(a, b)", "gcd(a, b, c, ...)"], description: "Compute the greatest common divisor.", examples: ["gcd(8, 12)", "gcd(-4, 6)", "gcd(25, 15, -10)"], seealso: ["lcm", "xgcd"] }, hypot: { name: "hypot", category: "Arithmetic", syntax: ["hypot(a, b, c, ...)", "hypot([a, b, c, ...])"], description: "Calculate the hypotenusa of a list with values. ", examples: ["hypot(3, 4)", "sqrt(3^2 + 4^2)", "hypot(-2)", "hypot([3, 4, 5])"], seealso: ["abs", "norm"] }, lcm: { name: "lcm", category: "Arithmetic", syntax: ["lcm(x, y)"], description: "Compute the least common multiple.", examples: ["lcm(4, 6)", "lcm(6, 21)", "lcm(6, 21, 5)"], seealso: ["gcd"] }, log: { name: "log", category: "Arithmetic", syntax: ["log(x)", "log(x, base)"], description: "Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).", examples: ["log(3.5)", "a = log(2.4)", "exp(a)", "10 ^ 4", "log(10000, 10)", "log(10000) / log(10)", "b = log(1024, 2)", "2 ^ b"], seealso: ["exp", "log1p", "log2", "log10"] }, log2: { name: "log2", category: "Arithmetic", syntax: ["log2(x)"], description: "Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.", examples: ["log2(0.03125)", "log2(16)", "log2(16) / log2(2)", "pow(2, 4)"], seealso: ["exp", "log1p", "log", "log10"] }, log1p: { name: "log1p", category: "Arithmetic", syntax: ["log1p(x)", "log1p(x, base)"], description: "Calculate the logarithm of a `value+1`", examples: ["log1p(2.5)", "exp(log1p(1.4))", "pow(10, 4)", "log1p(9999, 10)", "log1p(9999) / log(10)"], seealso: ["exp", "log", "log2", "log10"] }, log10: { name: "log10", category: "Arithmetic", syntax: ["log10(x)"], description: "Compute the 10-base logarithm of a value.", examples: ["log10(0.00001)", "log10(10000)", "10 ^ 4", "log(10000) / log(10)", "log(10000, 10)"], seealso: ["exp", "log"] }, mod: { name: "mod", category: "Operators", syntax: ["x % y", "x mod y", "mod(x, y)"], description: "Calculates the modulus, the remainder of an integer division.", examples: ["7 % 3", "11 % 2", "10 mod 4", "isOdd(x) = x % 2", "isOdd(2)", "isOdd(3)"], seealso: ["divide"] }, multiply: { name: "multiply", category: "Operators", syntax: ["x * y", "multiply(x, y)"], description: "multiply two values.", examples: ["a = 2.1 * 3.4", "a / 3.4", "2 * 3 + 4", "2 * (3 + 4)", "3 * 2.1 km"], seealso: ["divide"] }, norm: { name: "norm", category: "Arithmetic", syntax: ["norm(x)", "norm(x, p)"], description: "Calculate the norm of a number, vector or matrix.", examples: ["abs(-3.5)", "norm(-3.5)", "norm(3 - 4i)", "norm([1, 2, -3], Infinity)", "norm([1, 2, -3], -Infinity)", "norm([3, 4], 2)", "norm([[1, 2], [3, 4]], 1)", 'norm([[1, 2], [3, 4]], "inf")', 'norm([[1, 2], [3, 4]], "fro")'] }, nthRoot: { name: "nthRoot", category: "Arithmetic", syntax: ["nthRoot(a)", "nthRoot(a, root)"], description: 'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".', examples: ["4 ^ 3", "nthRoot(64, 3)", "nthRoot(9, 2)", "sqrt(9)"], seealso: ["nthRoots", "pow", "sqrt"] }, nthRoots: { name: "nthRoots", category: "Arithmetic", syntax: ["nthRoots(A)", "nthRoots(A, root)"], description: 'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.', examples: ["nthRoots(1)", "nthRoots(1, 3)"], seealso: ["sqrt", "pow", "nthRoot"] }, pow: { name: "pow", category: "Operators", syntax: ["x ^ y", "pow(x, y)"], description: "Calculates the power of x to y, x^y.", examples: ["2^3", "2*2*2", "1 + e ^ (pi * i)"], seealso: ["multiply", "nthRoot", "nthRoots", "sqrt"] }, round: { name: "round", category: "Arithmetic", syntax: ["round(x)", "round(x, n)"], description: "round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.", examples: ["round(3.2)", "round(3.8)", "round(-4.2)", "round(-4.8)", "round(pi, 3)", "round(123.45678, 2)"], seealso: ["ceil", "floor", "fix"] }, sign: { name: "sign", category: "Arithmetic", syntax: ["sign(x)"], description: "Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.", examples: ["sign(3.5)", "sign(-4.2)", "sign(0)"], seealso: ["abs"] }, sqrt: { name: "sqrt", category: "Arithmetic", syntax: ["sqrt(x)"], description: "Compute the square root value. If x = y * y, then y is the square root of x.", examples: ["sqrt(25)", "5 * 5", "sqrt(-1)"], seealso: ["square", "sqrtm", "multiply", "nthRoot", "nthRoots", "pow"] }, sqrtm: { name: "sqrtm", category: "Arithmetic", syntax: ["sqrtm(x)"], description: "Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.", examples: ["sqrtm([[1, 2], [3, 4]])"], seealso: ["sqrt", "abs", "square", "multiply"] }, square: { name: "square", category: "Arithmetic", syntax: ["square(x)"], description: "Compute the square of a value. The square of x is x * x.", examples: ["square(3)", "sqrt(9)", "3^2", "3 * 3"], seealso: ["multiply", "pow", "sqrt", "cube"] }, subtract: { name: "subtract", category: "Operators", syntax: ["x - y", "subtract(x, y)"], description: "subtract two values.", examples: ["a = 5.3 - 2", "a + 2", "2/3 - 1/6", "2 * 3 - 3", "2.1 km - 500m"], seealso: ["add"] }, unaryMinus: { name: "unaryMinus", category: "Operators", syntax: ["-x", "unaryMinus(x)"], description: "Inverse the sign of a value. Converts booleans and strings to numbers.", examples: ["-4.5", "-(-5.6)", '-"22"'], seealso: ["add", "subtract", "unaryPlus"] }, unaryPlus: { name: "unaryPlus", category: "Operators", syntax: ["+x", "unaryPlus(x)"], description: "Converts booleans and strings to numbers.", examples: ["+true", '+"2"'], seealso: ["add", "subtract", "unaryMinus"] }, xgcd: { name: "xgcd", category: "Arithmetic", syntax: ["xgcd(a, b)"], description: "Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.", examples: ["xgcd(8, 12)", "gcd(8, 12)", "xgcd(36163, 21199)"], seealso: ["gcd", "lcm"] }, bitAnd: { name: "bitAnd", category: "Bitwise", syntax: ["x & y", "bitAnd(x, y)"], description: "Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0", examples: ["5 & 3", "bitAnd(53, 131)", "[1, 12, 31] & 42"], seealso: ["bitNot", "bitOr", "bitXor", "leftShift", "rightArithShift", "rightLogShift"] }, bitNot: { name: "bitNot", category: "Bitwise", syntax: ["~x", "bitNot(x)"], description: "Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.", examples: ["~1", "~2", "bitNot([2, -3, 4])"], seealso: ["bitAnd", "bitOr", "bitXor", "leftShift", "rightArithShift", "rightLogShift"] }, bitOr: { name: "bitOr", category: "Bitwise", syntax: ["x | y", "bitOr(x, y)"], description: "Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.", examples: ["5 | 3", "bitOr([1, 2, 3], 4)"], seealso: ["bitAnd", "bitNot", "bitXor", "leftShift", "rightArithShift", "rightLogShift"] }, bitXor: { name: "bitXor", category: "Bitwise", syntax: ["bitXor(x, y)"], description: "Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.", examples: ["bitOr(1, 2)", "bitXor([2, 3, 4], 4)"], seealso: ["bitAnd", "bitNot", "bitOr", "leftShift", "rightArithShift", "rightLogShift"] }, leftShift: { name: "leftShift", category: "Bitwise", syntax: ["x << y", "leftShift(x, y)"], description: "Bitwise left logical shift of a value x by y number of bits.", examples: ["4 << 1", "8 >> 1"], seealso: ["bitAnd", "bitNot", "bitOr", "bitXor", "rightArithShift", "rightLogShift"] }, rightArithShift: { name: "rightArithShift", category: "Bitwise", syntax: ["x >> y", "rightArithShift(x, y)"], description: "Bitwise right arithmetic shift of a value x by y number of bits.", examples: ["8 >> 1", "4 << 1", "-12 >> 2"], seealso: ["bitAnd", "bitNot", "bitOr", "bitXor", "leftShift", "rightLogShift"] }, rightLogShift: { name: "rightLogShift", category: "Bitwise", syntax: ["x >>> y", "rightLogShift(x, y)"], description: "Bitwise right logical shift of a value x by y number of bits.", examples: ["8 >>> 1", "4 << 1", "-12 >>> 2"], seealso: ["bitAnd", "bitNot", "bitOr", "bitXor", "leftShift", "rightArithShift"] }, bellNumbers: { name: "bellNumbers", category: "Combinatorics", syntax: ["bellNumbers(n)"], description: "The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.", examples: ["bellNumbers(3)", "bellNumbers(8)"], seealso: ["stirlingS2"] }, catalan: { name: "catalan", category: "Combinatorics", syntax: ["catalan(n)"], description: "The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.", examples: ["catalan(3)", "catalan(8)"], seealso: ["bellNumbers"] }, composition: { name: "composition", category: "Combinatorics", syntax: ["composition(n, k)"], description: "The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.", examples: ["composition(5, 3)"], seealso: ["combinations"] }, stirlingS2: { name: "stirlingS2", category: "Combinatorics", syntax: ["stirlingS2(n, k)"], description: "he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.", examples: ["stirlingS2(5, 3)"], seealso: ["bellNumbers"] }, config: { name: "config", category: "Core", syntax: ["config()", "config(options)"], description: "Get configuration or change configuration.", examples: ["config()", "1/3 + 1/4", 'config({number: "Fraction"})', "1/3 + 1/4"], seealso: [] }, import: { name: "import", category: "Core", syntax: ["import(functions)", "import(functions, options)"], description: "Import functions or constants from an object.", examples: ["import({myFn: f(x)=x^2, myConstant: 32 })", "myFn(2)", "myConstant"], seealso: [] }, typed: { name: "typed", category: "Core", syntax: ["typed(signatures)", "typed(name, signatures)"], description: "Create a typed function.", examples: ['double = typed({ "number, number": f(x)=x+x })', "double(2)", 'double("hello")'], seealso: [] }, arg: { name: "arg", category: "Complex", syntax: ["arg(x)"], description: "Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).", examples: ["arg(2 + 2i)", "atan2(3, 2)", "arg(2 + 3i)"], seealso: ["re", "im", "conj", "abs"] }, conj: { name: "conj", category: "Complex", syntax: ["conj(x)"], description: "Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.", examples: ["conj(2 + 3i)", "conj(2 - 3i)", "conj(-5.2i)"], seealso: ["re", "im", "abs", "arg"] }, re: { name: "re", category: "Complex", syntax: ["re(x)"], description: "Get the real part of a complex number.", examples: ["re(2 + 3i)", "im(2 + 3i)", "re(-5.2i)", "re(2.4)"], seealso: ["im", "conj", "abs", "arg"] }, im: { name: "im", category: "Complex", syntax: ["im(x)"], description: "Get the imaginary part of a complex number.", examples: ["im(2 + 3i)", "re(2 + 3i)", "im(-5.2i)", "im(2.4)"], seealso: ["re", "conj", "abs", "arg"] }, evaluate: { name: "evaluate", category: "Expression", syntax: ["evaluate(expression)", "evaluate([expr1, expr2, expr3, ...])"], description: "Evaluate an expression or an array with expressions.", examples: ['evaluate("2 + 3")', 'evaluate("sqrt(" + 4 + ")")'], seealso: [] }, help: { name: "help", category: "Expression", syntax: ["help(object)", "help(string)"], description: "Display documentation on a function or data type.", examples: ["help(sqrt)", 'help("complex")'], seealso: [] }, distance: { name: "distance", category: "Geometry", syntax: ["distance([x1, y1], [x2, y2])", "distance([[x1, y1], [x2, y2]])"], description: "Calculates the Euclidean distance between two points.", examples: ["distance([0,0], [4,4])", "distance([[0,0], [4,4]])"], seealso: [] }, intersect: { name: "intersect", category: "Geometry", syntax: ["intersect(expr1, expr2, expr3, expr4)", "intersect(expr1, expr2, expr3)"], description: "Computes the intersection point of lines and/or planes.", examples: ["intersect([0, 0], [10, 10], [10, 0], [0, 10])", "intersect([1, 0, 1], [4, -2, 2], [1, 1, 1, 6])"], seealso: [] }, and: { name: "and", category: "Logical", syntax: ["x and y", "and(x, y)"], description: "Logical and. Test whether two values are both defined with a nonzero/nonempty value.", examples: ["true and false", "true and true", "2 and 4"], seealso: ["not", "or", "xor"] }, not: { name: "not", category: "Logical", syntax: ["not x", "not(x)"], description: "Logical not. Flips the boolean value of given argument.", examples: ["not true", "not false", "not 2", "not 0"], seealso: ["and", "or", "xor"] }, or: { name: "or", category: "Logical", syntax: ["x or y", "or(x, y)"], description: "Logical or. Test if at least one value is defined with a nonzero/nonempty value.", examples: ["true or false", "false or false", "0 or 4"], seealso: ["not", "and", "xor"] }, xor: { name: "xor", category: "Logical", syntax: ["x xor y", "xor(x, y)"], description: "Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.", examples: ["true xor false", "false xor false", "true xor true", "0 xor 4"], seealso: ["not", "and", "or"] }, concat: { name: "concat", category: "Matrix", syntax: ["concat(A, B, C, ...)", "concat(A, B, C, ..., dim)"], description: "Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.", examples: ["A = [1, 2; 5, 6]", "B = [3, 4; 7, 8]", "concat(A, B)", "concat(A, B, 1)", "concat(A, B, 2)"], seealso: ["det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, cross: { name: "cross", category: "Matrix", syntax: ["cross(A, B)"], description: "Calculate the cross product for two vectors in three dimensional space.", examples: ["cross([1, 1, 0], [0, 1, 1])", "cross([3, -3, 1], [4, 9, 2])", "cross([2, 3, 4], [5, 6, 7])"], seealso: ["multiply", "dot"] }, column: { name: "column", category: "Matrix", syntax: ["column(x, index)"], description: "Return a column from a matrix or array.", examples: ["A = [[1, 2], [3, 4]]", "column(A, 1)", "column(A, 2)"], seealso: ["row"] }, ctranspose: { name: "ctranspose", category: "Matrix", syntax: ["x'", "ctranspose(x)"], description: "Complex Conjugate and Transpose a matrix", examples: ["a = [1, 2, 3; 4, 5, 6]", "a'", "ctranspose(a)"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "zeros"] }, det: { name: "det", category: "Matrix", syntax: ["det(x)"], description: "Calculate the determinant of a matrix", examples: ["det([1, 2; 3, 4])", "det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"], seealso: ["concat", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, diag: { name: "diag", category: "Matrix", syntax: ["diag(x)", "diag(x, k)"], description: "Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.", examples: ["diag(1:3)", "diag(1:3, 1)", "a = [1, 2, 3; 4, 5, 6; 7, 8, 9]", "diag(a)"], seealso: ["concat", "det", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, diff: { name: "diff", category: "Matrix", syntax: ["diff(arr)", "diff(arr, dim)"], description: ["Create a new matrix or array with the difference of the passed matrix or array.", "Dim parameter is optional and used to indicant the dimension of the array/matrix to apply the difference", "If no dimension parameter is passed it is assumed as dimension 0", "Dimension is zero-based in javascript and one-based in the parser", "Arrays must be 'rectangular' meaning arrays like [1, 2]", "If something is passed as a matrix it will be returned as a matrix but other than that all matrices are converted to arrays"], examples: ["diff([1, 2, 4, 7, 0])", "diff([1, 2, 4, 7, 0], 0)", "diff(matrix([1, 2, 4, 7, 0]))", "diff([[1, 2], [3, 4]])", "diff([[1, 2], [3, 4]], 0)", "diff([[1, 2], [3, 4]], 1)", "diff([[1, 2], [3, 4]], bignumber(1))", "diff(matrix([[1, 2], [3, 4]]), 1)", "diff([[1, 2], matrix([3, 4])], 1)"], seealso: ["subtract", "partitionSelect"] }, dot: { name: "dot", category: "Matrix", syntax: ["dot(A, B)", "A * B"], description: "Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn", examples: ["dot([2, 4, 1], [2, 2, 3])", "[2, 4, 1] * [2, 2, 3]"], seealso: ["multiply", "cross"] }, getMatrixDataType: { name: "getMatrixDataType", category: "Matrix", syntax: ["getMatrixDataType(x)"], description: 'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".', examples: ["getMatrixDataType([1, 2, 3])", "getMatrixDataType([[5 cm], [2 inch]])", 'getMatrixDataType([1, "text"])', "getMatrixDataType([1, bignumber(4)])"], seealso: ["matrix", "sparse", "typeOf"] }, identity: { name: "identity", category: "Matrix", syntax: ["identity(n)", "identity(m, n)", "identity([m, n])"], description: "Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.", examples: ["identity(3)", "identity(3, 5)", "a = [1, 2, 3; 4, 5, 6]", "identity(size(a))"], seealso: ["concat", "det", "diag", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, filter: { name: "filter", category: "Matrix", syntax: ["filter(x, test)"], description: "Filter items in a matrix.", examples: ["isPositive(x) = x > 0", "filter([6, -2, -1, 4, 3], isPositive)", "filter([6, -2, 0, 1, 0], x != 0)"], seealso: ["sort", "map", "forEach"] }, flatten: { name: "flatten", category: "Matrix", syntax: ["flatten(x)"], description: "Flatten a multi dimensional matrix into a single dimensional matrix.", examples: ["a = [1, 2, 3; 4, 5, 6]", "size(a)", "b = flatten(a)", "size(b)"], seealso: ["concat", "resize", "size", "squeeze"] }, forEach: { name: "forEach", category: "Matrix", syntax: ["forEach(x, callback)"], description: "Iterates over all elements of a matrix/array, and executes the given callback function.", examples: ["forEach([1, 2, 3], function(val) { console.log(val) })"], seealso: ["map", "sort", "filter"] }, inv: { name: "inv", category: "Matrix", syntax: ["inv(x)"], description: "Calculate the inverse of a matrix", examples: ["inv([1, 2; 3, 4])", "inv(4)", "1 / 4"], seealso: ["concat", "det", "diag", "identity", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, eigs: { name: "eigs", category: "Matrix", syntax: ["eigs(x)"], description: "Calculate the eigenvalues and eigenvectors of a real symmetric matrix", examples: ["eigs([[5, 2.3], [2.3, 1]])"], seealso: ["inv"] }, kron: { name: "kron", category: "Matrix", syntax: ["kron(x, y)"], description: "Calculates the kronecker product of 2 matrices or vectors.", examples: ["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])", "kron([1,1], [2,3,4])"], seealso: ["multiply", "dot", "cross"] }, map: { name: "map", category: "Matrix", syntax: ["map(x, callback)"], description: "Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.", examples: ["map([1, 2, 3], square)"], seealso: ["filter", "forEach"] }, ones: { name: "ones", category: "Matrix", syntax: ["ones(m)", "ones(m, n)", "ones(m, n, p, ...)", "ones([m])", "ones([m, n])", "ones([m, n, p, ...])"], description: "Create a matrix containing ones.", examples: ["ones(3)", "ones(3, 5)", "ones([2,3]) * 4.5", "a = [1, 2, 3; 4, 5, 6]", "ones(size(a))"], seealso: ["concat", "det", "diag", "identity", "inv", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, partitionSelect: { name: "partitionSelect", category: "Matrix", syntax: ["partitionSelect(x, k)", "partitionSelect(x, k, compare)"], description: "Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.", examples: ["partitionSelect([5, 10, 1], 2)", 'partitionSelect(["C", "B", "A", "D"], 1)'], seealso: ["sort"] }, range: { name: "range", category: "Type", syntax: ["start:end", "start:step:end", "range(start, end)", "range(start, end, step)", "range(string)"], description: "Create a range. Lower bound of the range is included, upper bound is excluded.", examples: ["1:5", "3:-1:-3", "range(3, 7)", "range(0, 12, 2)", 'range("4:10")', "a = [1, 2, 3, 4; 5, 6, 7, 8]", "a[1:2, 1:2]"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "size", "squeeze", "subset", "trace", "transpose", "zeros"] }, resize: { name: "resize", category: "Matrix", syntax: ["resize(x, size)", "resize(x, size, defaultValue)"], description: "Resize a matrix.", examples: ["resize([1,2,3,4,5], [3])", "resize([1,2,3], [5])", "resize([1,2,3], [5], -1)", "resize(2, [2, 3])", 'resize("hello", [8], "!")'], seealso: ["size", "subset", "squeeze", "reshape"] }, reshape: { name: "reshape", category: "Matrix", syntax: ["reshape(x, sizes)"], description: "Reshape a multi dimensional array to fit the specified dimensions.", examples: ["reshape([1, 2, 3, 4, 5, 6], [2, 3])", "reshape([[1, 2], [3, 4]], [1, 4])", "reshape([[1, 2], [3, 4]], [4])"], seealso: ["size", "squeeze", "resize"] }, rotate: { name: "rotate", category: "Matrix", syntax: ["rotate(w, theta)", "rotate(w, theta, v)"], description: "Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.", examples: ["rotate([1, 0], math.pi / 2)", 'rotate(matrix([1, 0]), unit("35deg"))', 'rotate([1, 0, 0], unit("90deg"), [0, 0, 1])', 'rotate(matrix([1, 0, 0]), unit("90deg"), matrix([0, 0, 1]))'], seealso: ["matrix", "rotationMatrix"] }, rotationMatrix: { name: "rotationMatrix", category: "Matrix", syntax: ["rotationMatrix(theta)", "rotationMatrix(theta, v)", "rotationMatrix(theta, v, format)"], description: "Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.", examples: ["rotationMatrix(pi / 2)", 'rotationMatrix(unit("45deg"), [0, 0, 1])', 'rotationMatrix(1, matrix([0, 0, 1]), "sparse")'], seealso: ["cos", "sin"] }, row: { name: "row", category: "Matrix", syntax: ["row(x, index)"], description: "Return a row from a matrix or array.", examples: ["A = [[1, 2], [3, 4]]", "row(A, 1)", "row(A, 2)"], seealso: ["column"] }, size: { name: "size", category: "Matrix", syntax: ["size(x)"], description: "Calculate the size of a matrix.", examples: ["size(2.3)", 'size("hello world")', "a = [1, 2; 3, 4; 5, 6]", "size(a)", "size(1:6)"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "squeeze", "subset", "trace", "transpose", "zeros"] }, sort: { name: "sort", category: "Matrix", syntax: ["sort(x)", "sort(x, compare)"], description: 'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.', examples: ["sort([5, 10, 1])", 'sort(["C", "B", "A", "D"])', "sortByLength(a, b) = size(a)[1] - size(b)[1]", 'sort(["Langdon", "Tom", "Sara"], sortByLength)', 'sort(["10", "1", "2"], "natural")'], seealso: ["map", "filter", "forEach"] }, squeeze: { name: "squeeze", category: "Matrix", syntax: ["squeeze(x)"], description: "Remove inner and outer singleton dimensions from a matrix.", examples: ["a = zeros(3,2,1)", "size(squeeze(a))", "b = zeros(1,1,3)", "size(squeeze(b))"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "subset", "trace", "transpose", "zeros"] }, subset: { name: "subset", category: "Matrix", syntax: ["value(index)", "value(index) = replacement", "subset(value, [index])", "subset(value, [index], replacement)"], description: "Get or set a subset of a matrix or string. Indexes are one-based. Both the ranges lower-bound and upper-bound are included.", examples: ["d = [1, 2; 3, 4]", "e = []", "e[1, 1:2] = [5, 6]", "e[2, :] = [7, 8]", "f = d * e", "f[2, 1]", "f[:, 1]"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "trace", "transpose", "zeros"] }, trace: { name: "trace", category: "Matrix", syntax: ["trace(A)"], description: "Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.", examples: ["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]", "trace(A)"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "transpose", "zeros"] }, transpose: { name: "transpose", category: "Matrix", syntax: ["x'", "transpose(x)"], description: "Transpose a matrix", examples: ["a = [1, 2, 3; 4, 5, 6]", "a'", "transpose(a)"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "zeros"] }, zeros: { name: "zeros", category: "Matrix", syntax: ["zeros(m)", "zeros(m, n)", "zeros(m, n, p, ...)", "zeros([m])", "zeros([m, n])", "zeros([m, n, p, ...])"], description: "Create a matrix containing zeros.", examples: ["zeros(3)", "zeros(3, 5)", "a = [1, 2, 3; 4, 5, 6]", "zeros(size(a))"], seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose"] }, combinations: { name: "combinations", category: "Probability", syntax: ["combinations(n, k)"], description: "Compute the number of combinations of n items taken k at a time", examples: ["combinations(7, 5)"], seealso: ["combinationsWithRep", "permutations", "factorial"] }, combinationsWithRep: { name: "combinationsWithRep", category: "Probability", syntax: ["combinationsWithRep(n, k)"], description: "Compute the number of combinations of n items taken k at a time with replacements.", examples: ["combinationsWithRep(7, 5)"], seealso: ["combinations", "permutations", "factorial"] }, factorial: { name: "factorial", category: "Probability", syntax: ["n!", "factorial(n)"], description: "Compute the factorial of a value", examples: ["5!", "5 * 4 * 3 * 2 * 1", "3!"], seealso: ["combinations", "combinationsWithRep", "permutations", "gamma"] }, gamma: { name: "gamma", category: "Probability", syntax: ["gamma(n)"], description: "Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.", examples: ["gamma(4)", "3!", "gamma(1/2)", "sqrt(pi)"], seealso: ["factorial"] }, kldivergence: { name: "kldivergence", category: "Probability", syntax: ["kldivergence(x, y)"], description: "Calculate the Kullback-Leibler (KL) divergence between two distributions.", examples: ["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"], seealso: [] }, multinomial: { name: "multinomial", category: "Probability", syntax: ["multinomial(A)"], description: "Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.", examples: ["multinomial([1, 2, 1])"], seealso: ["combinations", "factorial"] }, permutations: { name: "permutations", category: "Probability", syntax: ["permutations(n)", "permutations(n, k)"], description: "Compute the number of permutations of n items taken k at a time", examples: ["permutations(5)", "permutations(5, 3)"], seealso: ["combinations", "combinationsWithRep", "factorial"] }, pickRandom: { name: "pickRandom", category: "Probability", syntax: ["pickRandom(array)", "pickRandom(array, number)", "pickRandom(array, weights)", "pickRandom(array, number, weights)", "pickRandom(array, weights, number)"], description: "Pick a random entry from a given array.", examples: ["pickRandom(0:10)", "pickRandom([1, 3, 1, 6])", "pickRandom([1, 3, 1, 6], 2)", "pickRandom([1, 3, 1, 6], [2, 3, 2, 1])", "pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])", "pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"], seealso: ["random", "randomInt"] }, random: { name: "random", category: "Probability", syntax: ["random()", "random(max)", "random(min, max)", "random(size)", "random(size, max)", "random(size, min, max)"], description: "Return a random number.", examples: ["random()", "random(10, 20)", "random([2, 3])"], seealso: ["pickRandom", "randomInt"] }, randomInt: { name: "randomInt", category: "Probability", syntax: ["randomInt(max)", "randomInt(min, max)", "randomInt(size)", "randomInt(size, max)", "randomInt(size, min, max)"], description: "Return a random integer number", examples: ["randomInt(10, 20)", "randomInt([2, 3], 10)"], seealso: ["pickRandom", "random"] }, compare: { name: "compare", category: "Relational", syntax: ["compare(x, y)"], description: "Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.", examples: ["compare(2, 3)", "compare(3, 2)", "compare(2, 2)", "compare(5cm, 40mm)", "compare(2, [1, 2, 3])"], seealso: ["equal", "unequal", "smaller", "smallerEq", "largerEq", "compareNatural", "compareText"] }, compareNatural: { name: "compareNatural", category: "Relational", syntax: ["compareNatural(x, y)"], description: "Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.", examples: ["compareNatural(2, 3)", "compareNatural(3, 2)", "compareNatural(2, 2)", "compareNatural(5cm, 40mm)", 'compareNatural("2", "10")', "compareNatural(2 + 3i, 2 + 4i)", "compareNatural([1, 2, 4], [1, 2, 3])", "compareNatural([1, 5], [1, 2, 3])", "compareNatural([1, 2], [1, 2])", "compareNatural({a: 2}, {a: 4})"], seealso: ["equal", "unequal", "smaller", "smallerEq", "largerEq", "compare", "compareText"] }, compareText: { name: "compareText", category: "Relational", syntax: ["compareText(x, y)"], description: "Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.", examples: ['compareText("B", "A")', 'compareText("A", "B")', 'compareText("A", "A")', 'compareText("2", "10")', 'compare("2", "10")', "compare(2, 10)", 'compareNatural("2", "10")', 'compareText("B", ["A", "B", "C"])'], seealso: ["compare", "compareNatural"] }, deepEqual: { name: "deepEqual", category: "Relational", syntax: ["deepEqual(x, y)"], description: "Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.", examples: ["deepEqual([1,3,4], [1,3,4])", "deepEqual([1,3,4], [1,3])"], seealso: ["equal", "unequal", "smaller", "larger", "smallerEq", "largerEq", "compare"] }, equal: { name: "equal", category: "Relational", syntax: ["x == y", "equal(x, y)"], description: "Check equality of two values. Returns true if the values are equal, and false if not.", examples: ["2+2 == 3", "2+2 == 4", "a = 3.2", "b = 6-2.8", "a == b", "50cm == 0.5m"], seealso: ["unequal", "smaller", "larger", "smallerEq", "largerEq", "compare", "deepEqual", "equalText"] }, equalText: { name: "equalText", category: "Relational", syntax: ["equalText(x, y)"], description: "Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.", examples: ['equalText("Hello", "Hello")', 'equalText("a", "A")', 'equal("2e3", "2000")', 'equalText("2e3", "2000")', 'equalText("B", ["A", "B", "C"])'], seealso: ["compare", "compareNatural", "compareText", "equal"] }, larger: { name: "larger", category: "Relational", syntax: ["x > y", "larger(x, y)"], description: "Check if value x is larger than y. Returns true if x is larger than y, and false if not.", examples: ["2 > 3", "5 > 2*2", "a = 3.3", "b = 6-2.8", "(a > b)", "(b < a)", "5 cm > 2 inch"], seealso: ["equal", "unequal", "smaller", "smallerEq", "largerEq", "compare"] }, largerEq: { name: "largerEq", category: "Relational", syntax: ["x >= y", "largerEq(x, y)"], description: "Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.", examples: ["2 >= 1+1", "2 > 1+1", "a = 3.2", "b = 6-2.8", "(a >= b)"], seealso: ["equal", "unequal", "smallerEq", "smaller", "compare"] }, smaller: { name: "smaller", category: "Relational", syntax: ["x < y", "smaller(x, y)"], description: "Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.", examples: ["2 < 3", "5 < 2*2", "a = 3.3", "b = 6-2.8", "(a < b)", "5 cm < 2 inch"], seealso: ["equal", "unequal", "larger", "smallerEq", "largerEq", "compare"] }, smallerEq: { name: "smallerEq", category: "Relational", syntax: ["x <= y", "smallerEq(x, y)"], description: "Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.", examples: ["2 <= 1+1", "2 < 1+1", "a = 3.2", "b = 6-2.8", "(a <= b)"], seealso: ["equal", "unequal", "larger", "smaller", "largerEq", "compare"] }, unequal: { name: "unequal", category: "Relational", syntax: ["x != y", "unequal(x, y)"], description: "Check unequality of two values. Returns true if the values are unequal, and false if they are equal.", examples: ["2+2 != 3", "2+2 != 4", "a = 3.2", "b = 6-2.8", "a != b", "50cm != 0.5m", "5 cm != 2 inch"], seealso: ["equal", "smaller", "larger", "smallerEq", "largerEq", "compare", "deepEqual"] }, setCartesian: { name: "setCartesian", category: "Set", syntax: ["setCartesian(set1, set2)"], description: "Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setCartesian([1, 2], [3, 4])"], seealso: ["setUnion", "setIntersect", "setDifference", "setPowerset"] }, setDifference: { name: "setDifference", category: "Set", syntax: ["setDifference(set1, set2)"], description: "Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setDifference([1, 2, 3, 4], [3, 4, 5, 6])", "setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], seealso: ["setUnion", "setIntersect", "setSymDifference"] }, setDistinct: { name: "setDistinct", category: "Set", syntax: ["setDistinct(set)"], description: "Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.", examples: ["setDistinct([1, 1, 1, 2, 2, 3])"], seealso: ["setMultiplicity"] }, setIntersect: { name: "setIntersect", category: "Set", syntax: ["setIntersect(set1, set2)"], description: "Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])", "setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], seealso: ["setUnion", "setDifference"] }, setIsSubset: { name: "setIsSubset", category: "Set", syntax: ["setIsSubset(set1, set2)"], description: "Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setIsSubset([1, 2], [3, 4, 5, 6])", "setIsSubset([3, 4], [3, 4, 5, 6])"], seealso: ["setUnion", "setIntersect", "setDifference"] }, setMultiplicity: { name: "setMultiplicity", category: "Set", syntax: ["setMultiplicity(element, set)"], description: "Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.", examples: ["setMultiplicity(1, [1, 2, 2, 4])", "setMultiplicity(2, [1, 2, 2, 4])"], seealso: ["setDistinct", "setSize"] }, setPowerset: { name: "setPowerset", category: "Set", syntax: ["setPowerset(set)"], description: "Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.", examples: ["setPowerset([1, 2, 3])"], seealso: ["setCartesian"] }, setSize: { name: "setSize", category: "Set", syntax: ["setSize(set)", "setSize(set, unique)"], description: 'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.', examples: ["setSize([1, 2, 2, 4])", "setSize([1, 2, 2, 4], true)"], seealso: ["setUnion", "setIntersect", "setDifference"] }, setSymDifference: { name: "setSymDifference", category: "Set", syntax: ["setSymDifference(set1, set2)"], description: "Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])", "setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], seealso: ["setUnion", "setIntersect", "setDifference"] }, setUnion: { name: "setUnion", category: "Set", syntax: ["setUnion(set1, set2)"], description: "Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", examples: ["setUnion([1, 2, 3, 4], [3, 4, 5, 6])", "setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], seealso: ["setIntersect", "setDifference"] }, erf: { name: "erf", category: "Special", syntax: ["erf(x)"], description: "Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x", examples: ["erf(0.2)", "erf(-0.5)", "erf(4)"], seealso: [] }, mad: { name: "mad", category: "Statistics", syntax: ["mad(a, b, c, ...)", "mad(A)"], description: "Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.", examples: ["mad(10, 20, 30)", "mad([1, 2, 3])"], seealso: ["mean", "median", "std", "abs"] }, max: { name: "max", category: "Statistics", syntax: ["max(a, b, c, ...)", "max(A)", "max(A, dim)"], description: "Compute the maximum value of a list of values.", examples: ["max(2, 3, 4, 1)", "max([2, 3, 4, 1])", "max([2, 5; 4, 3])", "max([2, 5; 4, 3], 1)", "max([2, 5; 4, 3], 2)", "max(2.7, 7.1, -4.5, 2.0, 4.1)", "min(2.7, 7.1, -4.5, 2.0, 4.1)"], seealso: ["mean", "median", "min", "prod", "std", "sum", "variance"] }, mean: { name: "mean", category: "Statistics", syntax: ["mean(a, b, c, ...)", "mean(A)", "mean(A, dim)"], description: "Compute the arithmetic mean of a list of values.", examples: ["mean(2, 3, 4, 1)", "mean([2, 3, 4, 1])", "mean([2, 5; 4, 3])", "mean([2, 5; 4, 3], 1)", "mean([2, 5; 4, 3], 2)", "mean([1.0, 2.7, 3.2, 4.0])"], seealso: ["max", "median", "min", "prod", "std", "sum", "variance"] }, median: { name: "median", category: "Statistics", syntax: ["median(a, b, c, ...)", "median(A)"], description: "Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.", examples: ["median(5, 2, 7)", "median([3, -1, 5, 7])"], seealso: ["max", "mean", "min", "prod", "std", "sum", "variance", "quantileSeq"] }, min: { name: "min", category: "Statistics", syntax: ["min(a, b, c, ...)", "min(A)", "min(A, dim)"], description: "Compute the minimum value of a list of values.", examples: ["min(2, 3, 4, 1)", "min([2, 3, 4, 1])", "min([2, 5; 4, 3])", "min([2, 5; 4, 3], 1)", "min([2, 5; 4, 3], 2)", "min(2.7, 7.1, -4.5, 2.0, 4.1)", "max(2.7, 7.1, -4.5, 2.0, 4.1)"], seealso: ["max", "mean", "median", "prod", "std", "sum", "variance"] }, mode: { name: "mode", category: "Statistics", syntax: ["mode(a, b, c, ...)", "mode(A)", "mode(A, a, b, B, c, ...)"], description: "Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.", examples: ["mode(2, 1, 4, 3, 1)", "mode([1, 2.7, 3.2, 4, 2.7])", "mode(1, 4, 6, 1, 6)"], seealso: ["max", "mean", "min", "median", "prod", "std", "sum", "variance"] }, prod: { name: "prod", category: "Statistics", syntax: ["prod(a, b, c, ...)", "prod(A)"], description: "Compute the product of all values.", examples: ["prod(2, 3, 4)", "prod([2, 3, 4])", "prod([2, 5; 4, 3])"], seealso: ["max", "mean", "min", "median", "min", "std", "sum", "variance"] }, quantileSeq: { name: "quantileSeq", category: "Statistics", syntax: ["quantileSeq(A, prob[, sorted])", "quantileSeq(A, [prob1, prob2, ...][, sorted])", "quantileSeq(A, N[, sorted])"], description: "Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. \n\nIn case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.", examples: ["quantileSeq([3, -1, 5, 7], 0.5)", "quantileSeq([3, -1, 5, 7], [1/3, 2/3])", "quantileSeq([3, -1, 5, 7], 2)", "quantileSeq([-1, 3, 5, 7], 0.5, true)"], seealso: ["mean", "median", "min", "max", "prod", "std", "sum", "variance"] }, std: { name: "std", category: "Statistics", syntax: ["std(a, b, c, ...)", "std(A)", "std(A, normalization)"], description: 'Compute the standard deviation of all values, defined as std(A) = sqrt(variance(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".', examples: ["std(2, 4, 6)", "std([2, 4, 6, 8])", 'std([2, 4, 6, 8], "uncorrected")', 'std([2, 4, 6, 8], "biased")', "std([1, 2, 3; 4, 5, 6])"], seealso: ["max", "mean", "min", "median", "prod", "sum", "variance"] }, sum: { name: "sum", category: "Statistics", syntax: ["sum(a, b, c, ...)", "sum(A)"], description: "Compute the sum of all values.", examples: ["sum(2, 3, 4, 1)", "sum([2, 3, 4, 1])", "sum([2, 5; 4, 3])"], seealso: ["max", "mean", "median", "min", "prod", "std", "sum", "variance"] }, variance: { name: "variance", category: "Statistics", syntax: ["variance(a, b, c, ...)", "variance(A)", "variance(A, normalization)"], description: 'Compute the variance of all values. Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".', examples: ["variance(2, 4, 6)", "variance([2, 4, 6, 8])", 'variance([2, 4, 6, 8], "uncorrected")', 'variance([2, 4, 6, 8], "biased")', "variance([1, 2, 3; 4, 5, 6])"], seealso: ["max", "mean", "min", "median", "min", "prod", "std", "sum"] }, acos: { name: "acos", category: "Trigonometry", syntax: ["acos(x)"], description: "Compute the inverse cosine of a value in radians.", examples: ["acos(0.5)", "acos(cos(2.3))"], seealso: ["cos", "atan", "asin"] }, acosh: { name: "acosh", category: "Trigonometry", syntax: ["acosh(x)"], description: "Calculate the hyperbolic arccos of a value, defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.", examples: ["acosh(1.5)"], seealso: ["cosh", "asinh", "atanh"] }, acot: { name: "acot", category: "Trigonometry", syntax: ["acot(x)"], description: "Calculate the inverse cotangent of a value.", examples: ["acot(0.5)", "acot(cot(0.5))", "acot(2)"], seealso: ["cot", "atan"] }, acoth: { name: "acoth", category: "Trigonometry", syntax: ["acoth(x)"], description: "Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.", examples: ["acoth(2)", "acoth(0.5)"], seealso: ["acsch", "asech"] }, acsc: { name: "acsc", category: "Trigonometry", syntax: ["acsc(x)"], description: "Calculate the inverse cotangent of a value.", examples: ["acsc(2)", "acsc(csc(0.5))", "acsc(0.5)"], seealso: ["csc", "asin", "asec"] }, acsch: { name: "acsch", category: "Trigonometry", syntax: ["acsch(x)"], description: "Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.", examples: ["acsch(0.5)"], seealso: ["asech", "acoth"] }, asec: { name: "asec", category: "Trigonometry", syntax: ["asec(x)"], description: "Calculate the inverse secant of a value.", examples: ["asec(0.5)", "asec(sec(0.5))", "asec(2)"], seealso: ["acos", "acot", "acsc"] }, asech: { name: "asech", category: "Trigonometry", syntax: ["asech(x)"], description: "Calculate the inverse secant of a value.", examples: ["asech(0.5)"], seealso: ["acsch", "acoth"] }, asin: { name: "asin", category: "Trigonometry", syntax: ["asin(x)"], description: "Compute the inverse sine of a value in radians.", examples: ["asin(0.5)", "asin(sin(0.5))"], seealso: ["sin", "acos", "atan"] }, asinh: { name: "asinh", category: "Trigonometry", syntax: ["asinh(x)"], description: "Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.", examples: ["asinh(0.5)"], seealso: ["acosh", "atanh"] }, atan: { name: "atan", category: "Trigonometry", syntax: ["atan(x)"], description: "Compute the inverse tangent of a value in radians.", examples: ["atan(0.5)", "atan(tan(0.5))"], seealso: ["tan", "acos", "asin"] }, atanh: { name: "atanh", category: "Trigonometry", syntax: ["atanh(x)"], description: "Calculate the hyperbolic arctangent of a value, defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.", examples: ["atanh(0.5)"], seealso: ["acosh", "asinh"] }, atan2: { name: "atan2", category: "Trigonometry", syntax: ["atan2(y, x)"], description: "Computes the principal value of the arc tangent of y/x in radians.", examples: ["atan2(2, 2) / pi", "angle = 60 deg in rad", "x = cos(angle)", "y = sin(angle)", "atan2(y, x)"], seealso: ["sin", "cos", "tan"] }, cos: { name: "cos", category: "Trigonometry", syntax: ["cos(x)"], description: "Compute the cosine of x in radians.", examples: ["cos(2)", "cos(pi / 4) ^ 2", "cos(180 deg)", "cos(60 deg)", "sin(0.2)^2 + cos(0.2)^2"], seealso: ["acos", "sin", "tan"] }, cosh: { name: "cosh", category: "Trigonometry", syntax: ["cosh(x)"], description: "Compute the hyperbolic cosine of x in radians.", examples: ["cosh(0.5)"], seealso: ["sinh", "tanh", "coth"] }, cot: { name: "cot", category: "Trigonometry", syntax: ["cot(x)"], description: "Compute the cotangent of x in radians. Defined as 1/tan(x)", examples: ["cot(2)", "1 / tan(2)"], seealso: ["sec", "csc", "tan"] }, coth: { name: "coth", category: "Trigonometry", syntax: ["coth(x)"], description: "Compute the hyperbolic cotangent of x in radians.", examples: ["coth(2)", "1 / tanh(2)"], seealso: ["sech", "csch", "tanh"] }, csc: { name: "csc", category: "Trigonometry", syntax: ["csc(x)"], description: "Compute the cosecant of x in radians. Defined as 1/sin(x)", examples: ["csc(2)", "1 / sin(2)"], seealso: ["sec", "cot", "sin"] }, csch: { name: "csch", category: "Trigonometry", syntax: ["csch(x)"], description: "Compute the hyperbolic cosecant of x in radians. Defined as 1/sinh(x)", examples: ["csch(2)", "1 / sinh(2)"], seealso: ["sech", "coth", "sinh"] }, sec: { name: "sec", category: "Trigonometry", syntax: ["sec(x)"], description: "Compute the secant of x in radians. Defined as 1/cos(x)", examples: ["sec(2)", "1 / cos(2)"], seealso: ["cot", "csc", "cos"] }, sech: { name: "sech", category: "Trigonometry", syntax: ["sech(x)"], description: "Compute the hyperbolic secant of x in radians. Defined as 1/cosh(x)", examples: ["sech(2)", "1 / cosh(2)"], seealso: ["coth", "csch", "cosh"] }, sin: { name: "sin", category: "Trigonometry", syntax: ["sin(x)"], description: "Compute the sine of x in radians.", examples: ["sin(2)", "sin(pi / 4) ^ 2", "sin(90 deg)", "sin(30 deg)", "sin(0.2)^2 + cos(0.2)^2"], seealso: ["asin", "cos", "tan"] }, sinh: { name: "sinh", category: "Trigonometry", syntax: ["sinh(x)"], description: "Compute the hyperbolic sine of x in radians.", examples: ["sinh(0.5)"], seealso: ["cosh", "tanh"] }, tan: { name: "tan", category: "Trigonometry", syntax: ["tan(x)"], description: "Compute the tangent of x in radians.", examples: ["tan(0.5)", "sin(0.5) / cos(0.5)", "tan(pi / 4)", "tan(45 deg)"], seealso: ["atan", "sin", "cos"] }, tanh: { name: "tanh", category: "Trigonometry", syntax: ["tanh(x)"], description: "Compute the hyperbolic tangent of x in radians.", examples: ["tanh(0.5)", "sinh(0.5) / cosh(0.5)"], seealso: ["sinh", "cosh"] }, to: { name: "to", category: "Units", syntax: ["x to unit", "to(x, unit)"], description: "Change the unit of a value.", examples: ["5 inch to cm", "3.2kg to g", "16 bytes in bits"], seealso: [] }, clone: { name: "clone", category: "Utils", syntax: ["clone(x)"], description: "Clone a variable. Creates a copy of primitive variables,and a deep copy of matrices", examples: ["clone(3.5)", "clone(2 - 4i)", "clone(45 deg)", "clone([1, 2; 3, 4])", 'clone("hello world")'], seealso: [] }, format: { name: "format", category: "Utils", syntax: ["format(value)", "format(value, precision)"], description: "Format a value of any type as string.", examples: ["format(2.3)", "format(3 - 4i)", "format([])", "format(pi, 3)"], seealso: ["print"] }, bin: { name: "bin", category: "Utils", syntax: ["bin(value)"], description: "Format a number as binary", examples: ["bin(2)"], seealso: ["oct", "hex"] }, oct: { name: "oct", category: "Utils", syntax: ["oct(value)"], description: "Format a number as octal", examples: ["oct(56)"], seealso: ["bin", "hex"] }, hex: { name: "hex", category: "Utils", syntax: ["hex(value)"], description: "Format a number as hexadecimal", examples: ["hex(240)"], seealso: ["bin", "oct"] }, isNaN: { name: "isNaN", category: "Utils", syntax: ["isNaN(x)"], description: "Test whether a value is NaN (not a number)", examples: ["isNaN(2)", "isNaN(0 / 0)", "isNaN(NaN)", "isNaN(Infinity)"], seealso: ["isNegative", "isNumeric", "isPositive", "isZero"] }, isInteger: { name: "isInteger", category: "Utils", syntax: ["isInteger(x)"], description: "Test whether a value is an integer number.", examples: ["isInteger(2)", "isInteger(3.5)", "isInteger([3, 0.5, -2])"], seealso: ["isNegative", "isNumeric", "isPositive", "isZero"] }, isNegative: { name: "isNegative", category: "Utils", syntax: ["isNegative(x)"], description: "Test whether a value is negative: smaller than zero.", examples: ["isNegative(2)", "isNegative(0)", "isNegative(-4)", "isNegative([3, 0.5, -2])"], seealso: ["isInteger", "isNumeric", "isPositive", "isZero"] }, isNumeric: { name: "isNumeric", category: "Utils", syntax: ["isNumeric(x)"], description: "Test whether a value is a numeric value. Returns true when the input is a number, BigNumber, Fraction, or boolean.", examples: ["isNumeric(2)", 'isNumeric("2")', 'hasNumericValue("2")', "isNumeric(0)", "isNumeric(bignumber(500))", "isNumeric(fraction(0.125))", "isNumeric(2 + 3i)", 'isNumeric([2.3, "foo", false])'], seealso: ["isInteger", "isZero", "isNegative", "isPositive", "isNaN", "hasNumericValue"] }, hasNumericValue: { name: "hasNumericValue", category: "Utils", syntax: ["hasNumericValue(x)"], description: "Test whether a value is an numeric value. In case of a string, true is returned if the string contains a numeric value.", examples: ["hasNumericValue(2)", 'hasNumericValue("2")', 'isNumeric("2")', "hasNumericValue(0)", "hasNumericValue(bignumber(500))", "hasNumericValue(fraction(0.125))", "hasNumericValue(2 + 3i)", 'hasNumericValue([2.3, "foo", false])'], seealso: ["isInteger", "isZero", "isNegative", "isPositive", "isNaN", "isNumeric"] }, isPositive: { name: "isPositive", category: "Utils", syntax: ["isPositive(x)"], description: "Test whether a value is positive: larger than zero.", examples: ["isPositive(2)", "isPositive(0)", "isPositive(-4)", "isPositive([3, 0.5, -2])"], seealso: ["isInteger", "isNumeric", "isNegative", "isZero"] }, isPrime: { name: "isPrime", category: "Utils", syntax: ["isPrime(x)"], description: "Test whether a value is prime: has no divisors other than itself and one.", examples: ["isPrime(3)", "isPrime(-2)", "isPrime([2, 17, 100])"], seealso: ["isInteger", "isNumeric", "isNegative", "isZero"] }, isZero: { name: "isZero", category: "Utils", syntax: ["isZero(x)"], description: "Test whether a value is zero.", examples: ["isZero(2)", "isZero(0)", "isZero(-4)", "isZero([3, 0, -2, 0])"], seealso: ["isInteger", "isNumeric", "isNegative", "isPositive"] }, typeOf: { name: "typeOf", category: "Utils", syntax: ["typeOf(x)"], description: "Get the type of a variable.", examples: ["typeOf(3.5)", "typeOf(2 - 4i)", "typeOf(45 deg)", 'typeOf("hello world")'], seealso: ["getMatrixDataType"] }, numeric: { name: "numeric", category: "Utils", syntax: ["numeric(x)"], description: "Convert a numeric input to a specific numeric type: number, BigNumber, or Fraction.", examples: ['numeric("4")', 'numeric("4", "number")', 'numeric("4", "BigNumber")', 'numeric("4", "Fraction)', 'numeric(4, "Fraction")', 'numeric(fraction(2, 5), "number)'], seealso: ["number", "fraction", "bignumber", "string", "format"] } }, _u = Je("help", ["typed", "mathWithTransform", "Help"], (function (e) { var t = e.typed, r = e.mathWithTransform, n = e.Help; return t("help", { any: function (e) { var t, i = e; if ("string" != typeof e) for (t in r) if (Ze(r, t) && e === r[t]) { i = t; break } var a = vi(Cu, i); if (!a) { var o = "function" == typeof i ? i.name : i; throw new Error('No documentation found on "' + o + '"') } return new n(a) } }) })), Tu = Je("chain", ["typed", "Chain"], (function (e) { var t = e.typed, r = e.Chain; return t("chain", { "": function () { return new r }, any: function (e) { return new r(e) } }) })), qu = Je("det", ["typed", "matrix", "subtract", "multiply", "unaryMinus", "lup"], (function (e) { var t = e.typed, r = e.matrix, n = e.subtract, i = e.multiply, a = e.unaryMinus, o = e.lup; return t("det", { any: function (e) { return Fe(e) }, "Array | Matrix": function (e) { var t; switch ((t = p(e) ? e.size() : Array.isArray(e) ? (e = r(e)).size() : []).length) { case 0: return Fe(e); case 1: if (1 === t[0]) return Fe(e.valueOf()[0]); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); case 2: var s = t[0], u = t[1]; if (s === u) return function (e, t, r) { if (1 === t) return Fe(e[0][0]); if (2 === t) return n(i(e[0][0], e[1][1]), i(e[1][0], e[0][1])); for (var s = o(e), u = s.U[0][0], c = 1; c < t; c++)u = i(u, s.U[c][c]); for (var f = 0, l = 0, p = []; ;) { for (; p[l];)l++; if (l >= t) break; for (var m = l, h = 0; !p[s.p[m]];)p[s.p[m]] = !0, m = s.p[m], h++; h % 2 == 0 && f++ } return f % 2 == 0 ? u : a(u) }(e.clone().valueOf(), s); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); default: throw new RangeError("Matrix must be two dimensional (size: " + ge(t) + ")") } } }) })), zu = Je("inv", ["typed", "matrix", "divideScalar", "addScalar", "multiply", "unaryMinus", "det", "identity", "abs"], (function (e) { var t = e.typed, r = e.matrix, n = e.divideScalar, i = e.addScalar, a = e.multiply, o = e.unaryMinus, s = e.det, u = e.identity, c = e.abs; return t("inv", { "Array | Matrix": function (e) { var t = p(e) ? e.size() : Me(e); switch (t.length) { case 1: if (1 === t[0]) return p(e) ? r([n(1, e.valueOf()[0])]) : [n(1, e[0])]; throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); case 2: var i = t[0], a = t[1]; if (i === a) return p(e) ? r(f(e.valueOf(), i, a), e.storage()) : f(e, i, a); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); default: throw new RangeError("Matrix must be two dimensional (size: " + ge(t) + ")") } }, any: function (e) { return n(1, e) } }); function f(e, t, r) { var f, l, p, m, h; if (1 === t) { if (0 === (m = e[0][0])) throw Error("Cannot calculate inverse, determinant is zero"); return [[n(1, m)]] } if (2 === t) { var d = s(e); if (0 === d) throw Error("Cannot calculate inverse, determinant is zero"); return [[n(e[1][1], d), n(o(e[0][1]), d)], [n(o(e[1][0]), d), n(e[0][0], d)]] } var y = e.concat(); for (f = 0; f < t; f++)y[f] = y[f].concat(); for (var g = u(t).valueOf(), v = 0; v < r; v++) { var x = c(y[v][v]), b = v; for (f = v + 1; f < t;)c(y[f][v]) > x && (x = c(y[f][v]), b = f), f++; if (0 === x) throw Error("Cannot calculate inverse, determinant is zero"); (f = b) !== v && (h = y[v], y[v] = y[f], y[f] = h, h = g[v], g[v] = g[f], g[f] = h); var w = y[v], N = g[v]; for (f = 0; f < t; f++) { var M = y[f], S = g[f]; if (f !== v) { if (0 !== M[v]) { for (p = n(o(M[v]), w[v]), l = v; l < r; l++)M[l] = i(M[l], a(p, w[l])); for (l = 0; l < r; l++)S[l] = i(S[l], a(p, N[l])) } } else { for (p = w[v], l = v; l < r; l++)M[l] = n(M[l], p); for (l = 0; l < r; l++)S[l] = n(S[l], p) } } } return g } })), ku = Je("eigs", ["config", "typed", "matrix", "addScalar", "equal", "subtract", "abs", "atan", "cos", "sin", "multiplyScalar", "inv", "bignumber", "multiply", "add"], (function (e) { var t = e.config, r = e.typed, n = e.matrix, i = e.addScalar, a = e.subtract, o = e.equal, s = e.abs, u = e.atan, c = e.cos, f = e.sin, l = e.multiplyScalar, p = e.inv, m = e.bignumber, h = e.multiply, d = e.add; return r("eigs", { Array: function (e) { var t = n(e), r = t.size(); if (2 !== r.length || r[0] !== r[1]) throw new RangeError("Matrix must be square (size: " + ge(r) + ")"); var i = y(t, r[0]); return { values: i[0], vectors: i[1] } }, Matrix: function (e) { var t = e.size(); if (2 !== t.length || t[0] !== t[1]) throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); var r = y(e, t[0]); return { values: n(r[0]), vectors: n(r[1]) } } }); function y(e, r) { var n = e.datatype(); if (void 0 === n && (n = e.getDataType()), "number" !== n && "BigNumber" !== n && "Fraction" !== n) throw "mixed" === n ? new TypeError("Mixed matrix element type is not supported") : new TypeError("Matrix element type not supported (" + n + ")"); if (function (e, t) { for (var r = 0; r < t; r++)for (var n = r; n < t; n++)if (!o(e[r][n], e[n][r])) throw new TypeError("Input matrix is not symmetric") }(e.toArray(), r), "number" === n) return g(e.toArray()); if ("Fraction" === n) { for (var i = e.toArray(), a = 0; a < r; a++)for (var u = a; u < r; u++)i[a][u] = i[a][u].valueOf(), i[u][a] = i[a][u]; return g(e.toArray()) } return "BigNumber" === n ? function (e) { for (var r, n = e.length, i = s(t.epsilon / n), a = new Array(n), o = 0; o < n; o++)a[o] = O(n, 0), a[o][o] = 1; var u = E(e); for (; s(u[1]) >= s(i);) { var c = u[0][0], f = u[0][1]; r = x(e[c][c], e[f][f], e[c][f]), e = N(e, r, c, f), a = w(a, r, c, f), u = E(e) } for (var l = O(n, 0), p = 0; p < n; p++)l[p] = e[p][p]; return A(Fe(l), Fe(a)) }(e.toArray()) : void 0 } function g(e) { for (var r, n = e.length, i = Math.abs(t.epsilon / n), a = new Array(n), o = 0; o < n; o++)a[o] = O(n, 0), a[o][o] = 1; for (var s = S(e); Math.abs(s[1]) >= Math.abs(i);) { var u = s[0][0], c = s[0][1]; e = M(e, r = v(e[u][u], e[c][c], e[u][c]), u, c), a = b(a, r, u, c), s = S(e) } for (var f = O(n, 0), l = 0; l < n; l++)f[l] = e[l][l]; return A(Fe(f), Fe(a)) } function v(e, r, n) { var i = r - e; return Math.abs(i) <= t.epsilon ? Math.PI / 4 : .5 * Math.atan(2 * n / (r - e)) } function x(e, r, n) { var i = a(r, e); return s(i) <= t.epsilon ? m(-1).acos().div(4) : l(.5, u(h(2, n, p(i)))) } function b(e, t, r, n) { for (var i = e.length, a = Math.cos(t), o = Math.sin(t), s = O(i, 0), u = O(i, 0), c = 0; c < i; c++)s[c] = a * e[c][r] - o * e[c][n], u[c] = o * e[c][r] + a * e[c][n]; for (var f = 0; f < i; f++)e[f][r] = s[f], e[f][n] = u[f]; return e } function w(e, t, r, n) { for (var o = e.length, s = c(t), u = f(t), p = O(o, m(0)), h = O(o, m(0)), d = 0; d < o; d++)p[d] = a(l(s, e[d][r]), l(u, e[d][n])), h[d] = i(l(u, e[d][r]), l(s, e[d][n])); for (var y = 0; y < o; y++)e[y][r] = p[y], e[y][n] = h[y]; return e } function N(e, t, r, n) { for (var o = e.length, s = m(c(t)), u = m(f(t)), p = l(s, s), y = l(u, u), g = O(o, m(0)), v = O(o, m(0)), x = h(m(2), s, u, e[r][n]), b = i(a(l(p, e[r][r]), x), l(y, e[n][n])), w = d(l(y, e[r][r]), x, l(p, e[n][n])), N = 0; N < o; N++)g[N] = a(l(s, e[r][N]), l(u, e[n][N])), v[N] = i(l(u, e[r][N]), l(s, e[n][N])); e[r][r] = b, e[n][n] = w, e[r][n] = m(0), e[n][r] = m(0); for (var M = 0; M < o; M++)M !== r && M !== n && (e[r][M] = g[M], e[M][r] = g[M], e[n][M] = v[M], e[M][n] = v[M]); return e } function M(e, t, r, n) { for (var i = e.length, a = Math.cos(t), o = Math.sin(t), s = a * a, u = o * o, c = O(i, 0), f = O(i, 0), l = s * e[r][r] - 2 * a * o * e[r][n] + u * e[n][n], p = u * e[r][r] + 2 * a * o * e[r][n] + s * e[n][n], m = 0; m < i; m++)c[m] = a * e[r][m] - o * e[n][m], f[m] = o * e[r][m] + a * e[n][m]; e[r][r] = l, e[n][n] = p, e[r][n] = 0, e[n][r] = 0; for (var h = 0; h < i; h++)h !== r && h !== n && (e[r][h] = c[h], e[h][r] = c[h], e[n][h] = f[h], e[h][n] = f[h]); return e } function S(e) { for (var t = e.length, r = 0, n = [0, 1], i = 0; i < t; i++)for (var a = i + 1; a < t; a++)Math.abs(r) < Math.abs(e[i][a]) && (r = Math.abs(e[i][a]), n = [i, a]); return [n, r] } function E(e) { for (var t = e.length, r = 0, n = [0, 1], i = 0; i < t; i++)for (var a = i + 1; a < t; a++)s(r) < s(e[i][a]) && (r = s(e[i][a]), n = [i, a]); return [n, r] } function A(e, t) { for (var r = e.length, n = Array(r), i = Array(r), a = 0; a < r; a++)i[a] = Array(r); for (var o = 0; o < r; o++) { for (var s = 0, u = e[0], c = 0; c < e.length; c++)e[c] < u && (u = e[s = c]); n[o] = e.splice(s, 1)[0]; for (var f = 0; f < r; f++)i[f][o] = t[f][s], t[f].splice(s, 1) } return [Fe(n), Fe(i)] } function O(e, t) { for (var r = new Array(e), n = 0; n < e; n++)r[n] = t; return r } })), Iu = Je("expm", ["typed", "abs", "add", "identity", "inv", "multiply"], (function (e) { var t = e.typed, r = e.abs, n = e.add, i = e.identity, a = e.inv, o = e.multiply; return t("expm", { Matrix: function (e) { var t = e.size(); if (2 !== t.length || t[0] !== t[1]) throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); for (var u = t[0], c = function (e, t) { for (var r = 0; r < 30; r++)for (var n = 0; n <= r; n++) { var i = r - n; if (s(e, n, i) < t) return { q: n, j: i } } throw new Error("Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)") }(function (e) { for (var t = e.size()[0], n = 0, i = 0; i < t; i++) { for (var a = 0, o = 0; o < t; o++)a += r(e.get([i, o])); n = Math.max(a, n) } return n }(e), 1e-15), f = c.q, l = c.j, p = o(e, Math.pow(2, -l)), m = i(u), h = i(u), y = 1, g = p, v = -1, x = 1; x <= f; x++)x > 1 && (g = o(g, p), v = -v), m = n(m, o(y = y * (f - x + 1) / ((2 * f - x + 1) * x), g)), h = n(h, o(y * v, g)); for (var b = o(a(h), m), w = 0; w < l; w++)b = o(b, b); return d(e) ? e.createSparseMatrix(b) : b } }); function s(e, t, r) { for (var n = 1, i = 2; i <= t; i++)n *= i; for (var a = n, o = t + 1; o <= 2 * t; o++)a *= o; var s = a * (2 * t + 1); return 8 * Math.pow(e / Math.pow(2, r), 2 * t) * n * n / (a * s) } })), Bu = Je("sqrtm", ["typed", "abs", "add", "multiply", "sqrt", "subtract", "inv", "size", "max", "identity"], (function (e) { var t = e.typed, r = e.abs, n = e.add, i = e.multiply, a = e.sqrt, o = e.subtract, s = e.inv, u = e.size, c = e.max, f = e.identity; function l(e) { var t, a = 0, l = e, p = f(u(e)); do { var m = l; if (l = i(.5, n(m, s(p))), p = i(.5, n(p, s(m))), (t = c(r(o(l, m)))) > 1e-6 && ++a > 1e3) throw new Error("computing square root of matrix: iterative method could not converge") } while (t > 1e-6); return l } return t("sqrtm", { "Array | Matrix": function (e) { var t = p(e) ? e.size() : Me(e); switch (t.length) { case 1: if (1 === t[0]) return a(e); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); case 2: if (t[0] === t[1]) return l(e); throw new RangeError("Matrix must be square (size: " + ge(t) + ")"); default: throw new RangeError("Matrix must be at most two dimensional (size: " + ge(t) + ")") } } }) })), Du = Je("divide", ["typed", "matrix", "multiply", "equalScalar", "divideScalar", "inv"], (function (e) { var t = e.typed, r = e.matrix, n = e.multiply, i = e.equalScalar, a = e.divideScalar, o = e.inv, s = Mr({ typed: t, equalScalar: i }), u = Sr({ typed: t }); return t("divide", He({ "Array | Matrix, Array | Matrix": function (e, t) { return n(e, o(t)) }, "DenseMatrix, any": function (e, t) { return u(e, t, a, !1) }, "SparseMatrix, any": function (e, t) { return s(e, t, a, !1) }, "Array, any": function (e, t) { return u(r(e), t, a, !1).valueOf() }, "any, Array | Matrix": function (e, t) { return n(e, o(t)) } }, a.signatures)) })), Ru = Je("distance", ["typed", "addScalar", "subtract", "divideScalar", "multiplyScalar", "unaryMinus", "sqrt", "abs"], (function (e) { var t = e.typed, r = e.addScalar, n = e.subtract, i = e.multiplyScalar, a = e.divideScalar, s = e.unaryMinus, u = e.sqrt, c = e.abs; return t("distance", { "Array, Array, Array": function (e, t, r) { if (2 === e.length && 2 === t.length && 2 === r.length) { if (!l(e)) throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument"); if (!l(t)) throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument"); if (!l(r)) throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument"); var o = a(n(r[1], r[0]), n(t[1], t[0])), u = i(i(o, o), t[0]), c = s(i(o, t[0])), f = e[1]; return y(e[0], e[1], u, c, f) } throw new TypeError("Invalid Arguments: Try again") }, "Object, Object, Object": function (e, t, r) { if (2 === Object.keys(e).length && 2 === Object.keys(t).length && 2 === Object.keys(r).length) { if (!l(e)) throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers"); if (!l(t)) throw new TypeError("Values of lineOnePtX and lineOnePtY should be numbers or BigNumbers"); if (!l(r)) throw new TypeError("Values of lineTwoPtX and lineTwoPtY should be numbers or BigNumbers"); if ("pointX" in e && "pointY" in e && "lineOnePtX" in t && "lineOnePtY" in t && "lineTwoPtX" in r && "lineTwoPtY" in r) { var o = a(n(r.lineTwoPtY, r.lineTwoPtX), n(t.lineOnePtY, t.lineOnePtX)), u = i(i(o, o), t.lineOnePtX), c = s(i(o, t.lineOnePtX)), f = e.pointX; return y(e.pointX, e.pointY, u, c, f) } throw new TypeError("Key names do not match") } throw new TypeError("Invalid Arguments: Try again") }, "Array, Array": function (e, t) { if (2 === e.length && 3 === t.length) { if (!l(e)) throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument"); if (!p(t)) throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument"); return y(e[0], e[1], t[0], t[1], t[2]) } if (3 === e.length && 6 === t.length) { if (!p(e)) throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument"); if (!h(t)) throw new TypeError("Array with 6 numbers or BigNumbers expected for second argument"); return g(e[0], e[1], e[2], t[0], t[1], t[2], t[3], t[4], t[5]) } if (e.length === t.length && e.length > 0) { if (!m(e)) throw new TypeError("All values of an array should be numbers or BigNumbers"); if (!m(t)) throw new TypeError("All values of an array should be numbers or BigNumbers"); return v(e, t) } throw new TypeError("Invalid Arguments: Try again") }, "Object, Object": function (e, t) { if (2 === Object.keys(e).length && 3 === Object.keys(t).length) { if (!l(e)) throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers"); if (!p(t)) throw new TypeError("Values of xCoeffLine, yCoeffLine and constant should be numbers or BigNumbers"); if ("pointX" in e && "pointY" in e && "xCoeffLine" in t && "yCoeffLine" in t && "constant" in t) return y(e.pointX, e.pointY, t.xCoeffLine, t.yCoeffLine, t.constant); throw new TypeError("Key names do not match") } if (3 === Object.keys(e).length && 6 === Object.keys(t).length) { if (!p(e)) throw new TypeError("Values of pointX, pointY and pointZ should be numbers or BigNumbers"); if (!h(t)) throw new TypeError("Values of x0, y0, z0, a, b and c should be numbers or BigNumbers"); if ("pointX" in e && "pointY" in e && "x0" in t && "y0" in t && "z0" in t && "a" in t && "b" in t && "c" in t) return g(e.pointX, e.pointY, e.pointZ, t.x0, t.y0, t.z0, t.a, t.b, t.c); throw new TypeError("Key names do not match") } if (2 === Object.keys(e).length && 2 === Object.keys(t).length) { if (!l(e)) throw new TypeError("Values of pointOneX and pointOneY should be numbers or BigNumbers"); if (!l(t)) throw new TypeError("Values of pointTwoX and pointTwoY should be numbers or BigNumbers"); if ("pointOneX" in e && "pointOneY" in e && "pointTwoX" in t && "pointTwoY" in t) return v([e.pointOneX, e.pointOneY], [t.pointTwoX, t.pointTwoY]); throw new TypeError("Key names do not match") } if (3 === Object.keys(e).length && 3 === Object.keys(t).length) { if (!p(e)) throw new TypeError("Values of pointOneX, pointOneY and pointOneZ should be numbers or BigNumbers"); if (!p(t)) throw new TypeError("Values of pointTwoX, pointTwoY and pointTwoZ should be numbers or BigNumbers"); if ("pointOneX" in e && "pointOneY" in e && "pointOneZ" in e && "pointTwoX" in t && "pointTwoY" in t && "pointTwoZ" in t) return v([e.pointOneX, e.pointOneY, e.pointOneZ], [t.pointTwoX, t.pointTwoY, t.pointTwoZ]); throw new TypeError("Key names do not match") } throw new TypeError("Invalid Arguments: Try again") }, Array: function (e) { if (!function (e) { if (2 === e[0].length && f(e[0][0]) && f(e[0][1])) { if (e.some((function (e) { return 2 !== e.length || !f(e[0]) || !f(e[1]) }))) return !1 } else { if (!(3 === e[0].length && f(e[0][0]) && f(e[0][1]) && f(e[0][2]))) return !1; if (e.some((function (e) { return 3 !== e.length || !f(e[0]) || !f(e[1]) || !f(e[2]) }))) return !1 } return !0 }(e)) throw new TypeError("Incorrect array format entered for pairwise distance calculation"); return function (e) { for (var t = [], r = [], n = [], i = 0; i < e.length - 1; i++)for (var a = i + 1; a < e.length; a++)2 === e[0].length ? (r = [e[i][0], e[i][1]], n = [e[a][0], e[a][1]]) : 3 === e[0].length && (r = [e[i][0], e[i][1], e[i][2]], n = [e[a][0], e[a][1], e[a][2]]), t.push(v(r, n)); return t }(e) } }); function f(e) { return "number" == typeof e || o(e) } function l(e) { return e.constructor !== Array && (e = d(e)), f(e[0]) && f(e[1]) } function p(e) { return e.constructor !== Array && (e = d(e)), f(e[0]) && f(e[1]) && f(e[2]) } function m(e) { return Array.isArray(e) || (e = d(e)), e.every(f) } function h(e) { return e.constructor !== Array && (e = d(e)), f(e[0]) && f(e[1]) && f(e[2]) && f(e[3]) && f(e[4]) && f(e[5]) } function d(e) { for (var t = Object.keys(e), r = [], n = 0; n < t.length; n++)r.push(e[t[n]]); return r } function y(e, t, n, o, s) { var f = c(r(r(i(n, e), i(o, t)), s)), l = u(r(i(n, n), i(o, o))); return a(f, l) } function g(e, t, o, s, c, f, l, p, m) { var h = [n(i(n(c, t), m), i(n(f, o), p)), n(i(n(f, o), l), i(n(s, e), m)), n(i(n(s, e), p), i(n(c, t), l))]; h = u(r(r(i(h[0], h[0]), i(h[1], h[1])), i(h[2], h[2]))); var d = u(r(r(i(l, l), i(p, p)), i(m, m))); return a(h, d) } function v(e, t) { for (var a = e.length, o = 0, s = 0, c = 0; c < a; c++)s = n(e[c], t[c]), o = r(i(s, s), o); return u(o) } })), ju = Je("intersect", ["typed", "config", "abs", "add", "addScalar", "matrix", "multiply", "multiplyScalar", "divideScalar", "subtract", "smaller", "equalScalar"], (function (e) { var t = e.typed, r = e.config, n = e.abs, i = e.add, a = e.addScalar, s = e.matrix, u = e.multiply, c = e.multiplyScalar, f = e.divideScalar, l = e.subtract, p = e.smaller, m = e.equalScalar; return t("intersect", { "Array, Array, Array": function (e, t, r) { if (!y(e)) throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument"); if (!y(t)) throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument"); if (!function (e) { return 4 === e.length && h(e[0]) && h(e[1]) && h(e[2]) && h(e[3]) }(r)) throw new TypeError("Array with 4 numbers expected as third argument"); return function (e, t, r, n, i, o, s, u, p, m) { var h = c(e, s), d = c(n, s), y = c(t, u), g = c(i, u), v = c(r, p), x = c(o, p), b = f(l(l(l(m, h), y), v), l(l(l(a(a(d, g), x), h), y), v)), w = a(e, c(b, l(n, e))), N = a(t, c(b, l(i, t))), M = a(r, c(b, l(o, r))); return [w, N, M] }(e[0], e[1], e[2], t[0], t[1], t[2], r[0], r[1], r[2], r[3]) }, "Array, Array, Array, Array": function (e, t, o, s) { if (2 === e.length) { if (!d(e)) throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument"); if (!d(t)) throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument"); if (!d(o)) throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument"); if (!d(s)) throw new TypeError("Array with 2 numbers or BigNumbers expected for fourth argument"); return function (e, t, o, s) { var m = e, h = o, d = l(m, t), y = l(h, s), g = l(c(d[0], y[1]), c(y[0], d[1])); if (p(n(g), r.epsilon)) return null; var v = c(y[0], m[1]), x = c(y[1], m[0]), b = c(y[0], h[1]), w = c(y[1], h[0]), N = f(a(l(l(v, x), b), w), g); return i(u(d, N), m) }(e, t, o, s) } if (3 === e.length) { if (!y(e)) throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument"); if (!y(t)) throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument"); if (!y(o)) throw new TypeError("Array with 3 numbers or BigNumbers expected for third argument"); if (!y(s)) throw new TypeError("Array with 3 numbers or BigNumbers expected for fourth argument"); return h = e[0], v = e[1], x = e[2], b = t[0], w = t[1], N = t[2], M = o[0], S = o[1], E = o[2], A = s[0], O = s[1], C = s[2], _ = g(h, M, A, M, v, S, O, S, x, E, C, E), T = g(A, M, b, h, O, S, w, v, C, E, N, x), q = g(h, M, b, h, v, S, w, v, x, E, N, x), z = g(A, M, A, M, O, S, O, S, C, E, C, E), k = g(b, h, b, h, w, v, w, v, N, x, N, x), I = f(l(c(_, T), c(q, z)), l(c(k, z), c(T, T))), B = f(a(_, c(I, T)), z), D = a(h, c(I, l(b, h))), R = a(v, c(I, l(w, v))), j = a(x, c(I, l(N, x))), P = a(M, c(B, l(A, M))), U = a(S, c(B, l(O, S))), F = a(E, c(B, l(C, E))), m(D, P) && m(R, U) && m(j, F) ? [D, R, j] : null } throw new TypeError("Arrays with two or thee dimensional points expected"); var h, v, x, b, w, N, M, S, E, A, O, C, _, T, q, z, k, I, B, D, R, j, P, U, F }, "Matrix, Matrix, Matrix": function (e, t, r) { return s(this(e.valueOf(), t.valueOf(), r.valueOf())) }, "Matrix, Matrix, Matrix, Matrix": function (e, t, r, n) { return s(this(e.valueOf(), t.valueOf(), r.valueOf(), n.valueOf())) } }); function h(e) { return "number" == typeof e || o(e) } function d(e) { return 2 === e.length && h(e[0]) && h(e[1]) } function y(e) { return 3 === e.length && h(e[0]) && h(e[1]) && h(e[2]) } function g(e, t, r, n, i, o, s, u, f, p, m, h) { var d = c(l(e, t), l(r, n)), y = c(l(i, o), l(s, u)), g = c(l(f, p), l(m, h)); return a(a(d, y), g) } })), Pu = Je("sum", ["typed", "config", "add", "numeric"], (function (e) { var t = e.typed, r = e.config, n = e.add, i = e.numeric; return t("sum", { "Array | Matrix": a, "Array | Matrix, number | BigNumber": function (e, t) { try { return wt(e, t, n) } catch (e) { throw Ui(e, "sum") } }, "...": function (e) { if (vt(e)) throw new TypeError("Scalar values expected in function sum"); return a(e) } }); function a(e) { var t; return xt(e, (function (e) { try { t = void 0 === t ? e : n(t, e) } catch (t) { throw Ui(t, "sum", e) } })), void 0 === t && (t = i(0, r.number)), "string" == typeof t && (t = i(t, r.number)), t } })), Uu = Je("mean", ["typed", "add", "divide"], (function (e) { var t = e.typed, r = e.add, n = e.divide; return t("mean", { "Array | Matrix": i, "Array | Matrix, number | BigNumber": function (e, t) { try { var i = wt(e, t, r), a = Array.isArray(e) ? Me(e) : e.size(); return n(i, a[t]) } catch (e) { throw Ui(e, "mean") } }, "...": function (e) { if (vt(e)) throw new TypeError("Scalar values expected in function mean"); return i(e) } }); function i(e) { var t, i = 0; if (xt(e, (function (e) { try { t = void 0 === t ? e : r(t, e), i++ } catch (t) { throw Ui(t, "mean", e) } })), 0 === i) throw new Error("Cannot calculate the mean of an empty array"); return n(t, i) } })), Fu = Je("median", ["typed", "add", "divide", "compare", "partitionSelect"], (function (e) { var t = e.typed, r = e.add, n = e.divide, i = e.compare, a = e.partitionSelect; function o(e) { try { var t = (e = Te(e.valueOf())).length; if (0 === t) throw new Error("Cannot calculate median of an empty array"); if (t % 2 == 0) { for (var r = t / 2 - 1, n = a(e, r + 1), o = e[r], c = 0; c < r; ++c)i(e[c], o) > 0 && (o = e[c]); return u(o, n) } var f = a(e, (t - 1) / 2); return s(f) } catch (e) { throw Ui(e, "median") } } var s = t({ "number | BigNumber | Complex | Unit": function (e) { return e } }), u = t({ "number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit": function (e, t) { return n(r(e, t), 2) } }); return t("median", { "Array | Matrix": o, "Array | Matrix, number | BigNumber": function (e, t) { throw new Error("median(A, dim) is not yet supported") }, "...": function (e) { if (vt(e)) throw new TypeError("Scalar values expected in function median"); return o(e) } }) })), Lu = Je("mad", ["typed", "abs", "map", "median", "subtract"], (function (e) { var t = e.typed, r = e.abs, n = e.map, i = e.median, a = e.subtract; return t("mad", { "Array | Matrix": o, "...": function (e) { return o(e) } }); function o(e) { if (0 === (e = Te(e.valueOf())).length) throw new Error("Cannot calculate median absolute deviation (mad) of an empty array"); try { var t = i(e); return i(n(e, (function (e) { return r(a(e, t)) }))) } catch (e) { throw e instanceof TypeError && -1 !== e.message.indexOf("median") ? new TypeError(e.message.replace("median", "mad")) : Ui(e, "mad") } } })), Hu = Je("variance", ["typed", "add", "subtract", "multiply", "divide", "apply", "isNaN"], (function (e) { var t = e.typed, r = e.add, n = e.subtract, i = e.multiply, a = e.divide, s = e.apply, u = e.isNaN; return t("variance", { "Array | Matrix": function (e) { return c(e, "unbiased") }, "Array | Matrix, string": c, "Array | Matrix, number | BigNumber": function (e, t) { return f(e, t, "unbiased") }, "Array | Matrix, number | BigNumber, string": f, "...": function (e) { return c(e, "unbiased") } }); function c(e, t) { var s, c = 0; if (0 === e.length) throw new SyntaxError("Function variance requires one or more parameters (0 provided)"); if (xt(e, (function (e) { try { s = void 0 === s ? e : r(s, e), c++ } catch (t) { throw Ui(t, "variance", e) } })), 0 === c) throw new Error("Cannot calculate variance of an empty array"); var f = a(s, c); if (s = void 0, xt(e, (function (e) { var t = n(e, f); s = void 0 === s ? i(t, t) : r(s, i(t, t)) })), u(s)) return s; switch (t) { case "uncorrected": return a(s, c); case "biased": return a(s, c + 1); case "unbiased": var l = o(s) ? s.mul(0) : 0; return 1 === c ? l : a(s, c - 1); default: throw new Error('Unknown normalization "' + t + '". Choose "unbiased" (default), "uncorrected", or "biased".') } } function f(e, t, r) { try { if (0 === e.length) throw new SyntaxError("Function variance requires one or more parameters (0 provided)"); return s(e, t, (function (e) { return c(e, r) })) } catch (e) { throw Ui(e, "variance") } } })), $u = Je("quantileSeq", ["typed", "add", "multiply", "partitionSelect", "compare"], (function (e) { var t = e.typed, r = e.add, n = e.multiply, i = e.partitionSelect, s = e.compare; function u(e, t, o) { var u = Te(e), f = u.length; if (0 === f) throw new Error("Cannot calculate quantile of an empty sequence"); if (a(t)) { var l = t * (f - 1), p = l % 1; if (0 === p) { var m = o ? u[l] : i(u, l); return c(m), m } var h, d, y = Math.floor(l); if (o) h = u[y], d = u[y + 1]; else { d = i(u, y + 1), h = u[y]; for (var g = 0; g < y; ++g)s(u[g], h) > 0 && (h = u[g]) } return c(h), c(d), r(n(h, 1 - p), n(d, p)) } var v = t.times(f - 1); if (v.isInteger()) { v = v.toNumber(); var x = o ? u[v] : i(u, v); return c(x), x } var b, w, N = v.floor(), M = v.minus(N), S = N.toNumber(); if (o) b = u[S], w = u[S + 1]; else { w = i(u, S + 1), b = u[S]; for (var E = 0; E < S; ++E)s(u[E], b) > 0 && (b = u[E]) } c(b), c(w); var A = new M.constructor(1); return r(n(b, A.minus(M)), n(w, M)) } var c = t({ "number | BigNumber | Unit": function (e) { return e } }); return function (e, t, r) { var n, i, s; if (arguments.length < 2 || arguments.length > 3) throw new SyntaxError("Function quantileSeq requires two or three parameters"); if (m(e)) { if ("boolean" == typeof (r = r || !1)) { if (i = e.valueOf(), a(t)) { if (t < 0) throw new Error("N/prob must be non-negative"); if (t <= 1) return u(i, t, r); if (t > 1) { if (!V(t)) throw new Error("N must be a positive integer"); var c = t + 1; n = new Array(t); for (var f = 0; f < t;)n[f] = u(i, ++f / c, r); return n } } if (o(t)) { var l = t.constructor; if (t.isNegative()) throw new Error("N/prob must be non-negative"); if (s = new l(1), t.lte(s)) return new l(u(i, t, r)); if (t.gt(s)) { if (!t.isInteger()) throw new Error("N must be a positive integer"); var p = t.toNumber(); if (p > 4294967295) throw new Error("N must be less than or equal to 2^32-1, as that is the maximum length of an Array"); var h = new l(p + 1); n = new Array(p); for (var d = 0; d < p;)n[d] = new l(u(i, new l(++d).div(h), r)); return n } } if (Array.isArray(t)) { n = new Array(t.length); for (var y = 0; y < n.length; ++y) { var g = t[y]; if (a(g)) { if (g < 0 || g > 1) throw new Error("Probability must be between 0 and 1, inclusive") } else { if (!o(g)) throw new TypeError("Unexpected type of argument in function quantileSeq"); if (s = new g.constructor(1), g.isNegative() || g.gt(s)) throw new Error("Probability must be between 0 and 1, inclusive") } n[y] = u(i, g, r) } return n } throw new TypeError("Unexpected type of argument in function quantileSeq") } throw new TypeError("Unexpected type of argument in function quantileSeq") } throw new TypeError("Unexpected type of argument in function quantileSeq") } })), Gu = Je("std", ["typed", "sqrt", "variance"], (function (e) { var t = e.typed, r = e.sqrt, n = e.variance; return t("std", { "Array | Matrix": i, "Array | Matrix, string": i, "Array | Matrix, number | BigNumber": i, "Array | Matrix, number | BigNumber, string": i, "...": function (e) { return i(e) } }); function i(e, t) { if (0 === e.length) throw new SyntaxError("Function std requires one or more parameters (0 provided)"); try { return r(n.apply(null, arguments)) } catch (e) { throw e instanceof TypeError && -1 !== e.message.indexOf(" variance") ? new TypeError(e.message.replace(" variance", " std")) : e } } })); function Vu(e, t) { if (t < e) return 1; if (t === e) return t; var r = t + e >> 1; return Vu(e, r) * Vu(r + 1, t) } function Zu(e, t) { if (!V(e) || e < 0) throw new TypeError("Positive integer value expected in function combinations"); if (!V(t) || t < 0) throw new TypeError("Positive integer value expected in function combinations"); if (t > e) throw new TypeError("k must be less than or equal to n"); var r = e - t; return t < r ? Vu(r + 1, e) / Vu(1, t) : Vu(t + 1, e) / Vu(1, r) } Zu.signature = "number, number"; var Wu = Je("combinations", ["typed"], (function (e) { return (0, e.typed)("combinations", { "number, number": Zu, "BigNumber, BigNumber": function (e, t) { var r, n, i = e.constructor, a = e.minus(t), o = new i(1); if (!Ju(e) || !Ju(t)) throw new TypeError("Positive integer value expected in function combinations"); if (t.gt(e)) throw new TypeError("k must be less than n in function combinations"); if (r = o, t.lt(a)) for (n = o; n.lte(a); n = n.plus(o))r = r.times(t.plus(n)).dividedBy(n); else for (n = o; n.lte(t); n = n.plus(o))r = r.times(a.plus(n)).dividedBy(n); return r } }) })); function Ju(e) { return e.isInteger() && e.gte(0) } var Yu = Je("combinationsWithRep", ["typed"], (function (e) { return (0, e.typed)("combinationsWithRep", { "number, number": function (e, t) { if (!V(e) || e < 0) throw new TypeError("Positive integer value expected in function combinationsWithRep"); if (!V(t) || t < 0) throw new TypeError("Positive integer value expected in function combinationsWithRep"); if (e < 1) throw new TypeError("k must be less than or equal to n + k - 1"); return t < e - 1 ? Vu(e, e + t - 1) / Vu(1, t) : Vu(t + 1, e + t - 1) / Vu(1, e - 1) }, "BigNumber, BigNumber": function (e, t) { var r, n, i = new (0, e.constructor)(1), a = e.minus(i); if (!Xu(e) || !Xu(t)) throw new TypeError("Positive integer value expected in function combinationsWithRep"); if (e.lt(i)) throw new TypeError("k must be less than or equal to n + k - 1 in function combinationsWithRep"); if (r = i, t.lt(a)) for (n = i; n.lte(a); n = n.plus(i))r = r.times(t.plus(n)).dividedBy(n); else for (n = i; n.lte(t); n = n.plus(i))r = r.times(a.plus(n)).dividedBy(n); return r } }) })); function Xu(e) { return e.isInteger() && e.gte(0) } function Qu(e) { var t; if (V(e)) return e <= 0 ? isFinite(e) ? 1 / 0 : NaN : e > 171 ? 1 / 0 : Vu(1, e - 1); if (e < .5) return Math.PI / (Math.sin(Math.PI * e) * Qu(1 - e)); if (e >= 171.35) return 1 / 0; if (e > 85) { var r = e * e, n = r * e, i = n * e, a = i * e; return Math.sqrt(2 * Math.PI / e) * Math.pow(e / Math.E, e) * (1 + 1 / (12 * e) + 1 / (288 * r) - 139 / (51840 * n) - 571 / (2488320 * i) + 163879 / (209018880 * a) + 5246819 / (75246796800 * a * e)) } --e, t = ec[0]; for (var o = 1; o < ec.length; ++o)t += ec[o] / (e + o); var s = e + Ku + .5; return Math.sqrt(2 * Math.PI) * Math.pow(s, e + .5) * Math.exp(-s) * t } Qu.signature = "number"; var Ku = 4.7421875, ec = [.9999999999999971, 57.15623566586292, -59.59796035547549, 14.136097974741746, -.4919138160976202, 3399464998481189e-20, 4652362892704858e-20, -9837447530487956e-20, .0001580887032249125, -.00021026444172410488, .00021743961811521265, -.0001643181065367639, 8441822398385275e-20, -26190838401581408e-21, 36899182659531625e-22], tc = Je("gamma", ["typed", "config", "multiplyScalar", "pow", "BigNumber", "Complex"], (function (e) { var t = e.typed, r = e.config, n = e.multiplyScalar, i = e.pow, a = e.BigNumber, o = e.Complex; return t("gamma", { number: Qu, Complex: function (e) { if (0 === e.im) return this(e.re); e = new o(e.re - 1, e.im); for (var t = new o(ec[0], 0), r = 1; r < ec.length; ++r) { var a = e.re + r, s = a * a + e.im * e.im; 0 !== s ? (t.re += ec[r] * a / s, t.im += -ec[r] * e.im / s) : t.re = ec[r] < 0 ? -1 / 0 : 1 / 0 } var u = new o(e.re + Ku + .5, e.im), c = Math.sqrt(2 * Math.PI); e.re += .5; var f = i(u, e); 0 === f.im ? f.re *= c : (0 === f.re || (f.re *= c), f.im *= c); var l = Math.exp(-u.re); return u.re = l * Math.cos(-u.im), u.im = l * Math.sin(-u.im), n(n(f, u), t) }, BigNumber: function (e) { if (e.isInteger()) return e.isNegative() || e.isZero() ? new a(1 / 0) : function e(t) { if (t < 8) return new a([1, 1, 2, 6, 24, 120, 720, 5040][t]); var n = r.precision + (0 | Math.log(t.toNumber())), i = a.clone({ precision: n }); if (t % 2 == 1) return t.times(e(new a(t - 1))); var o = t, s = new i(t), u = t.toNumber(); for (; o > 2;)u += o -= 2, s = s.times(u); return new a(s.toPrecision(a.precision)) }(e.minus(1)); if (!e.isFinite()) return new a(e.isNegative() ? NaN : 1 / 0); throw new Error("Integer BigNumber expected") }, "Array | Matrix": function (e) { return bt(e, this) } }) })), rc = Je("factorial", ["typed", "gamma"], (function (e) { var t = e.typed, r = e.gamma; return t("factorial", { number: function (e) { if (e < 0) throw new Error("Value must be non-negative"); return r(e + 1) }, BigNumber: function (e) { if (e.isNegative()) throw new Error("Value must be non-negative"); return r(e.plus(1)) }, "Array | Matrix": function (e) { return bt(e, this) } }) })), nc = Je("kldivergence", ["typed", "matrix", "divide", "sum", "multiply", "dotDivide", "log", "isNumeric"], (function (e) { var t = e.typed, r = e.matrix, n = e.divide, i = e.sum, a = e.multiply, o = e.dotDivide, s = e.log, u = e.isNumeric; return t("kldivergence", { "Array, Array": function (e, t) { return c(r(e), r(t)) }, "Matrix, Array": function (e, t) { return c(e, r(t)) }, "Array, Matrix": function (e, t) { return c(r(e), t) }, "Matrix, Matrix": function (e, t) { return c(e, t) } }); function c(e, t) { var r = t.size().length, c = e.size().length; if (r > 1) throw new Error("first object must be one dimensional"); if (c > 1) throw new Error("second object must be one dimensional"); if (r !== c) throw new Error("Length of two vectors must be equal"); if (0 === i(e)) throw new Error("Sum of elements in first object must be non zero"); if (0 === i(t)) throw new Error("Sum of elements in second object must be non zero"); var f = n(e, i(e)), l = n(t, i(t)), p = i(a(f, s(o(f, l)))); return u(p) ? p : Number.NaN } })), ic = Je("multinomial", ["typed", "add", "divide", "multiply", "factorial", "isInteger", "isPositive"], (function (e) { var t = e.typed, r = e.add, n = e.divide, i = e.multiply, a = e.factorial, o = e.isInteger, s = e.isPositive; return t("multinomial", { "Array | Matrix": function (e) { var t = 0, u = 1; return xt(e, (function (e) { if (!o(e) || !s(e)) throw new TypeError("Positive integer value expected in function multinomial"); t = r(t, e), u = i(u, a(e)) })), n(a(t), u) } }) })), ac = Je("permutations", ["typed", "factorial"], (function (e) { return (0, e.typed)("permutations", { "number | BigNumber": e.factorial, "number, number": function (e, t) { if (!V(e) || e < 0) throw new TypeError("Positive integer value expected in function permutations"); if (!V(t) || t < 0) throw new TypeError("Positive integer value expected in function permutations"); if (t > e) throw new TypeError("second argument k must be less than or equal to first argument n"); return Vu(e - t + 1, e) }, "BigNumber, BigNumber": function (e, t) { var r, n; if (!oc(e) || !oc(t)) throw new TypeError("Positive integer value expected in function permutations"); if (t.gt(e)) throw new TypeError("second argument k must be less than or equal to first argument n"); for (r = e.mul(0).add(1), n = e.minus(t).plus(1); n.lte(e); n = n.plus(1))r = r.times(n); return r } }) })); function oc(e) { return e.isInteger() && e.gte(0) } var sc = r(9), uc = r.n(sc), cc = uc()(Date.now()); function fc(e) { var t, r; return t = null === (r = e) ? cc : uc()(String(r)), function () { return t() } } var lc = Je("pickRandom", ["typed", "config", "?on"], (function (e) { var t = e.typed, r = e.config, n = e.on, i = fc(r.randomSeed); return n && n("config", (function (e, t) { e.randomSeed !== t.randomSeed && (i = fc(e.randomSeed)) })), t({ "Array | Matrix": function (e) { return o(e, {}) }, "Array | Matrix, Object": function (e, t) { return o(e, t) }, "Array | Matrix, number": function (e, t) { return o(e, { number: t }) }, "Array | Matrix, Array | Matrix": function (e, t) { return o(e, { weights: t }) }, "Array | Matrix, Array | Matrix, number": function (e, t, r) { return o(e, { number: r, weights: t }) }, "Array | Matrix, number, Array | Matrix": function (e, t, r) { return o(e, { number: t, weights: r }) } }); function o(e, t) { var r = t.number, n = t.weights, o = t.elementWise, s = void 0 === o || o, u = void 0 === r; u && (r = 1); var c = p(e) ? e.create : p(n) ? n.create : null; e = e.valueOf(), n && (n = n.valueOf()), !0 === s && (e = Te(e), n = Te(n)); var f = 0; if (void 0 !== n) { if (n.length !== e.length) throw new Error("Weights must have the same length as possibles"); for (var l = 0, m = n.length; l < m; l++) { if (!a(n[l]) || n[l] < 0) throw new Error("Weights must be an array of positive numbers"); f += n[l] } } for (var h, d = e.length, y = []; y.length < r;) { if (void 0 === n) h = e[Math.floor(i() * d)]; else for (var g = i() * f, v = 0, x = e.length; v < x; v++)if ((g -= n[v]) < 0) { h = e[v]; break } y.push(h) } return u ? y[0] : c ? c(y) : y } })); function pc(e, t) { var r = []; if ((e = e.slice(0)).length > 1) for (var n = 0, i = e.shift(); n < i; n++)r.push(pc(e, t)); else for (var a = 0, o = e.shift(); a < o; a++)r.push(t()); return r } var mc = Je("random", ["typed", "config", "?on"], (function (e) { var t = e.typed, r = e.config, n = e.on, i = fc(r.randomSeed); return n && n("config", (function (e, t) { e.randomSeed !== t.randomSeed && (i = fc(e.randomSeed)) })), t("random", { "": function () { return o(0, 1) }, number: function (e) { return o(0, e) }, "number, number": function (e, t) { return o(e, t) }, "Array | Matrix": function (e) { return a(e, 0, 1) }, "Array | Matrix, number": function (e, t) { return a(e, 0, t) }, "Array | Matrix, number, number": function (e, t, r) { return a(e, t, r) } }); function a(e, t, r) { var n = pc(e.valueOf(), (function () { return o(t, r) })); return p(e) ? e.create(n) : n } function o(e, t) { return e + i() * (t - e) } })), hc = Je("randomInt", ["typed", "config", "?on"], (function (e) { var t = e.typed, r = e.config, n = e.on, i = fc(r.randomSeed); return n && n("config", (function (e, t) { e.randomSeed !== t.randomSeed && (i = fc(e.randomSeed)) })), t("randomInt", { "": function () { return o(0, 1) }, number: function (e) { return o(0, e) }, "number, number": function (e, t) { return o(e, t) }, "Array | Matrix": function (e) { return a(e, 0, 1) }, "Array | Matrix, number": function (e, t) { return a(e, 0, t) }, "Array | Matrix, number, number": function (e, t, r) { return a(e, t, r) } }); function a(e, t, r) { var n = pc(e.valueOf(), (function () { return o(t, r) })); return p(e) ? e.create(n) : n } function o(e, t) { return Math.floor(e + i() * (t - e)) } })), dc = Je("stirlingS2", ["typed", "addScalar", "subtract", "multiplyScalar", "divideScalar", "pow", "factorial", "combinations", "isNegative", "isInteger", "larger"], (function (e) { var t = e.typed, r = e.addScalar, n = e.subtract, i = e.multiplyScalar, a = e.divideScalar, o = e.pow, s = e.factorial, u = e.combinations, c = e.isNegative, f = e.isInteger, l = e.larger; return t("stirlingS2", { "number | BigNumber, number | BigNumber": function (e, t) { if (!f(e) || c(e) || !f(t) || c(t)) throw new TypeError("Non-negative integer value expected in function stirlingS2"); if (l(t, e)) throw new TypeError("k must be less than or equal to n in function stirlingS2"); for (var p = s(t), m = 0, h = 0; h <= t; h++) { var d = o(-1, n(t, h)), y = u(t, h), g = o(h, e); m = r(m, i(i(y, g), d)) } return a(m, p) } }) })), yc = Je("bellNumbers", ["typed", "addScalar", "isNegative", "isInteger", "stirlingS2"], (function (e) { var t = e.typed, r = e.addScalar, n = e.isNegative, i = e.isInteger, a = e.stirlingS2; return t("bellNumbers", { "number | BigNumber": function (e) { if (!i(e) || n(e)) throw new TypeError("Non-negative integer value expected in function bellNumbers"); for (var t = 0, o = 0; o <= e; o++)t = r(t, a(e, o)); return t } }) })), gc = Je("catalan", ["typed", "addScalar", "divideScalar", "multiplyScalar", "combinations", "isNegative", "isInteger"], (function (e) { var t = e.typed, r = e.addScalar, n = e.divideScalar, i = e.multiplyScalar, a = e.combinations, o = e.isNegative, s = e.isInteger; return t("catalan", { "number | BigNumber": function (e) { if (!s(e) || o(e)) throw new TypeError("Non-negative integer value expected in function catalan"); return n(a(i(e, 2), e), r(e, 1)) } }) })), vc = Je("composition", ["typed", "addScalar", "combinations", "isNegative", "isPositive", "isInteger", "larger"], (function (e) { var t = e.typed, r = e.addScalar, n = e.combinations, i = e.isPositive, a = (e.isNegative, e.isInteger), o = e.larger; return t("composition", { "number | BigNumber, number | BigNumber": function (e, t) { if (!(a(e) && i(e) && a(t) && i(t))) throw new TypeError("Positive integer value expected in function composition"); if (o(t, e)) throw new TypeError("k must be less than or equal to n in function composition"); return n(r(e, -1), r(t, -1)) } }) })), xc = Je("simplifyUtil", ["FunctionNode", "OperatorNode", "SymbolNode"], (function (e) { var t = e.FunctionNode, r = e.OperatorNode, n = e.SymbolNode, i = { add: !0, multiply: !0 }, a = { add: !0, multiply: !0 }; function o(e, t) { if (!j(e)) return !1; var r = e.fn.toString(); return t && Ze(t, r) && Ze(t[r], "associative") ? t[r].associative : a[r] || !1 } function s(e) { var t, r = []; return o(e) ? (t = e.op, function e(n) { for (var i = 0; i < n.args.length; i++) { var a = n.args[i]; j(a) && t === a.op ? e(a) : r.push(a) } }(e), r) : e.args } function u(e) { return j(e) ? function (t) { try { return new r(e.op, e.fn, t, e.implicit) } catch (e) { return console.error(e), [] } } : function (r) { return new t(new n(e.name), r) } } return { createMakeNodeFunction: u, isCommutative: function (e, t) { if (!j(e)) return !0; var r = e.fn.toString(); return t && Ze(t, r) && Ze(t[r], "commutative") ? t[r].commutative : i[r] || !1 }, isAssociative: o, flatten: function e(t) { if (!t.args || 0 === t.args.length) return t; t.args = s(t); for (var r = 0; r < t.args.length; r++)e(t.args[r]) }, allChildren: s, unflattenr: function e(t) { if (t.args && 0 !== t.args.length) { for (var r = u(t), n = t.args.length, i = 0; i < n; i++)e(t.args[i]); if (n > 2 && o(t)) { for (var a = t.args.pop(); t.args.length > 0;)a = r([t.args.pop(), a]); t.args = a.args } } }, unflattenl: function e(t) { if (t.args && 0 !== t.args.length) { for (var r = u(t), n = t.args.length, i = 0; i < n; i++)e(t.args[i]); if (n > 2 && o(t)) { for (var a = t.args.shift(); t.args.length > 0;)a = r([a, t.args.shift()]); t.args = a.args } } } } })), bc = Je("simplifyCore", ["equal", "isZero", "add", "subtract", "multiply", "divide", "pow", "ConstantNode", "OperatorNode", "FunctionNode", "ParenthesisNode"], (function (e) { var t = e.equal, r = e.isZero, n = e.add, i = e.subtract, a = e.multiply, o = e.divide, s = e.pow, u = e.ConstantNode, c = e.OperatorNode, f = e.FunctionNode, l = e.ParenthesisNode, p = new u(0), m = new u(1); return function e(h) { if (j(h) && h.isUnary()) { var d = e(h.args[0]); if ("+" === h.op) return d; if ("-" === h.op) { if (j(d)) { if (d.isUnary() && "-" === d.op) return d.args[0]; if (d.isBinary() && "subtract" === d.fn) return new c("-", "subtract", [d.args[1], d.args[0]]) } return new c(h.op, h.fn, [d]) } } else if (j(h) && h.isBinary()) { var y = e(h.args[0]), g = e(h.args[1]); if ("+" === h.op) { if (z(y)) { if (r(y.value)) return g; if (z(g)) return new u(n(y.value, g.value)) } return z(g) && r(g.value) ? y : j(g) && g.isUnary() && "-" === g.op ? new c("-", "subtract", [y, g.args[0]]) : new c(h.op, h.fn, g ? [y, g] : [y]) } if ("-" === h.op) { if (z(y) && g) { if (z(g)) return new u(i(y.value, g.value)); if (r(y.value)) return new c("-", "unaryMinus", [g]) } if ("subtract" === h.fn) return z(g) && r(g.value) ? y : j(g) && g.isUnary() && "-" === g.op ? e(new c("+", "add", [y, g.args[0]])) : new c(h.op, h.fn, [y, g]) } else { if ("*" === h.op) { if (z(y)) { if (r(y.value)) return p; if (t(y.value, 1)) return g; if (z(g)) return new u(a(y.value, g.value)) } if (z(g)) { if (r(g.value)) return p; if (t(g.value, 1)) return y; if (j(y) && y.isBinary() && y.op === h.op) { var v = y.args[0]; if (z(v)) { var x = new u(a(v.value, g.value)); return new c(h.op, h.fn, [x, y.args[1]], h.implicit) } } return new c(h.op, h.fn, [g, y], h.implicit) } return new c(h.op, h.fn, [y, g], h.implicit) } if ("/" === h.op) { if (z(y)) { if (r(y.value)) return p; if (z(g) && (t(g.value, 1) || t(g.value, 2) || t(g.value, 4))) return new u(o(y.value, g.value)) } return new c(h.op, h.fn, [y, g]) } if ("^" === h.op) { if (z(g)) { if (r(g.value)) return m; if (t(g.value, 1)) return y; if (z(y)) return new u(s(y.value, g.value)); if (j(y) && y.isBinary() && "^" === y.op) { var b = y.args[1]; if (z(b)) return new c(h.op, h.fn, [y.args[0], new u(a(b.value, g.value))]) } } return new c(h.op, h.fn, [y, g]) } } } else { if (P(h)) { var w = e(h.content); return P(w) || F(w) || z(w) ? w : new l(w) } if (I(h)) { var N = h.args.map(e).map((function (e) { return P(e) ? e.content : e })); return new f(e(h.fn), N) } } return h } })), wc = Je("simplifyConstant", ["typed", "config", "mathWithTransform", "?fraction", "?bignumber", "ConstantNode", "OperatorNode", "FunctionNode", "SymbolNode"], (function (e) { var t = e.typed, r = e.config, n = e.mathWithTransform, i = e.fraction, a = e.bignumber, o = e.ConstantNode, s = e.OperatorNode, c = e.FunctionNode, f = e.SymbolNode, l = xc({ FunctionNode: c, OperatorNode: s, SymbolNode: f }), p = l.isCommutative, m = l.isAssociative, h = l.allChildren, d = l.createMakeNodeFunction; function y(e, t, r) { try { return x(n[e].apply(null, t), r) } catch (i) { return t = t.map((function (e) { return u(e) ? e.valueOf() : e })), x(n[e].apply(null, t), r) } } var g = t({ Fraction: function (e) { var t, r = e.s * e.n; t = r < 0 ? new s("-", "unaryMinus", [new o(-r)]) : new o(r); if (1 === e.d) return t; return new s("/", "divide", [t, new o(e.d)]) }, number: function (e) { return e < 0 ? b(new o(-e)) : new o(e) }, BigNumber: function (e) { return e < 0 ? b(new o(-e)) : new o(e) }, Complex: function (e) { throw new Error("Cannot convert Complex number to Node") } }); function v(e, t) { if (t && !1 !== t.exactFractions && isFinite(e) && i) { var r = i(e), n = t && "number" == typeof t.fractionsLimit ? t.fractionsLimit : 1 / 0; if (r.valueOf() === e && r.n < n && r.d < n) return r } return e } var x = t({ "string, Object": function (e, t) { return "BigNumber" === r.number ? (void 0 === a && ai(), a(e)) : "Fraction" === r.number ? (void 0 === i && oi(), i(e)) : v(parseFloat(e), t) }, "Fraction, Object": function (e, t) { return e }, "BigNumber, Object": function (e, t) { return e }, "number, Object": function (e, t) { return v(e, t) }, "Complex, Object": function (e, t) { return 0 !== e.im ? e : v(e.re, t) } }); function b(e) { return new s("-", "unaryMinus", [e]) } function w(e, t, r, n) { return t.reduce((function (t, i) { if (D(t) || D(i)) D(t) ? D(i) || (i = g(i)) : t = g(t); else { try { return y(e, [t, i], n) } catch (e) { } t = g(t), i = g(i) } return r([t, i]) })) } return function (e, t) { var r = function e(t, r) { switch (t.type) { case "SymbolNode": return t; case "ConstantNode": return "number" != typeof t.value && isNaN(t.value) ? t : x(t.value, r); case "FunctionNode": if (n[t.name] && n[t.name].rawArgs) return t; if (-1 === ["add", "multiply"].indexOf(t.name)) { var i = t.args.map((function (t) { return e(t, r) })); if (!i.some(D)) try { return y(t.name, i, r) } catch (e) { } return i = i.map((function (e) { return D(e) ? e : g(e) })), new c(t.name, i) } case "OperatorNode": var a, o, s = t.fn.toString(), u = d(t); if (j(t) && t.isUnary()) a = [e(t.args[0], r)], o = D(a[0]) ? u(a) : y(s, a, r); else if (m(t)) if (a = (a = h(t)).map((function (t) { return e(t, r) })), p(s)) { for (var f = [], l = [], v = 0; v < a.length; v++)D(a[v]) ? l.push(a[v]) : f.push(a[v]); f.length > 1 ? (o = w(s, f, u, r), l.unshift(o), o = w(s, l, u, r)) : o = w(s, a, u, r) } else o = w(s, a, u, r); else a = t.args.map((function (t) { return e(t, r) })), o = w(s, a, u, r); return o; case "ParenthesisNode": return e(t.content, r); case "AccessorNode": case "ArrayNode": case "AssignmentNode": case "BlockNode": case "FunctionAssignmentNode": case "IndexNode": case "ObjectNode": case "RangeNode": case "ConditionalNode": default: throw new Error("Unimplemented node type in simplifyConstant: ".concat(t.type)) } }(e, t); return D(r) ? r : g(r) } })), Nc = Je("resolve", ["parse", "FunctionNode", "OperatorNode", "ParenthesisNode"], (function (e) { var t = e.parse, r = e.FunctionNode, n = e.OperatorNode, i = e.ParenthesisNode; return function e(a, o) { if (!o) return a; if (F(a)) { var s = o[a.name]; if (D(s)) return e(s, o); if ("number" == typeof s) return t(String(s)) } else { if (j(a)) { var u = a.args.map((function (t) { return e(t, o) })); return new n(a.op, a.fn, u, a.implicit) } if (P(a)) return new i(e(a.content, o)); if (I(a)) { var c = a.args.map((function (t) { return e(t, o) })); return new r(a.name, c) } } return a } })); function Mc(e) { return (Mc = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (e) { return typeof e } : function (e) { return e && "function" == typeof Symbol && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e })(e) } var Sc = Je("simplify", ["config", "typed", "parse", "add", "subtract", "multiply", "divide", "pow", "isZero", "equal", "?fraction", "?bignumber", "mathWithTransform", "ConstantNode", "FunctionNode", "OperatorNode", "ParenthesisNode", "SymbolNode"], (function (e) { var t = e.config, r = e.typed, n = e.parse, i = e.add, a = e.subtract, o = e.multiply, s = e.divide, u = e.pow, c = e.isZero, f = e.equal, l = e.fraction, p = e.bignumber, m = e.mathWithTransform, h = e.ConstantNode, d = e.FunctionNode, y = e.OperatorNode, g = e.ParenthesisNode, v = e.SymbolNode, x = wc({ typed: r, config: t, mathWithTransform: m, fraction: l, bignumber: p, ConstantNode: h, OperatorNode: y, FunctionNode: d, SymbolNode: v }), b = bc({ equal: f, isZero: c, add: i, subtract: a, multiply: o, divide: s, pow: u, ConstantNode: h, OperatorNode: y, FunctionNode: d, ParenthesisNode: g }), w = Nc({ parse: n, FunctionNode: d, OperatorNode: y, ParenthesisNode: g }), N = xc({ FunctionNode: d, OperatorNode: y, SymbolNode: v }), M = N.isCommutative, S = N.isAssociative, E = N.flatten, A = N.unflattenr, O = N.unflattenl, C = N.createMakeNodeFunction, _ = r("simplify", { string: function (e) { return this(n(e), this.rules, {}, {}) }, "string, Object": function (e, t) { return this(n(e), this.rules, t, {}) }, "string, Object, Object": function (e, t, r) { return this(n(e), this.rules, t, r) }, "string, Array": function (e, t) { return this(n(e), t, {}, {}) }, "string, Array, Object": function (e, t, r) { return this(n(e), t, r, {}) }, "string, Array, Object, Object": function (e, t, r, i) { return this(n(e), t, r, i) }, "Node, Object": function (e, t) { return this(e, this.rules, t, {}) }, "Node, Object, Object": function (e, t, r) { return this(e, this.rules, t, r) }, Node: function (e) { return this(e, this.rules, {}, {}) }, "Node, Array": function (e, t) { return this(e, t, {}, {}) }, "Node, Array, Object": function (e, t, r) { return this(e, t, r, {}) }, "Node, Array, Object, Object": function (e, t, r, i) { t = function (e) { for (var t = [], r = 0; r < e.length; r++) { var i = e[r], a = void 0, o = Mc(i); switch (o) { case "string": var s = i.split("->"); if (2 !== s.length) throw SyntaxError("Could not parse rule: " + i); i = { l: s[0], r: s[1] }; case "object": if (a = { l: T(n(i.l)), r: T(n(i.r)) }, i.context && (a.evaluate = i.context), i.evaluate && (a.evaluate = n(i.evaluate)), S(a.l)) { var u = C(a.l), c = new v("_p" + k++); a.expanded = {}, a.expanded.l = u([a.l.clone(), c]), E(a.expanded.l), A(a.expanded.l), a.expanded.r = u([a.r, c]) } break; case "function": a = i; break; default: throw TypeError("Unsupported type of rule: " + o) }t.push(a) } return t }(t); for (var a = w(e, r), o = {}, s = (a = T(a)).toString({ parenthesis: "all" }); !o[s];) { o[s] = !0, k = 0; for (var u = 0; u < t.length; u++)"function" == typeof t[u] ? a = t[u](a, i) : (E(a), a = I(a, t[u])), O(a); s = a.toString({ parenthesis: "all" }) } return a } }); function T(e) { return e.transform((function (e, t, r) { return P(e) ? T(e.content) : e })) } _.simplifyCore = b, _.resolve = w; var q = { true: !0, false: !0, e: !0, i: !0, Infinity: !0, LN2: !0, LN10: !0, LOG2E: !0, LOG10E: !0, NaN: !0, phi: !0, pi: !0, SQRT1_2: !0, SQRT2: !0, tau: !0 }; _.rules = [b, { l: "log(e)", r: "1" }, { l: "n-n1", r: "n+-n1" }, { l: "-(c*v)", r: "(-c) * v" }, { l: "-v", r: "(-1) * v" }, { l: "n/n1^n2", r: "n*n1^-n2" }, { l: "n/n1", r: "n*n1^-1" }, { l: "(n ^ n1) ^ n2", r: "n ^ (n1 * n2)" }, { l: "n*n", r: "n^2" }, { l: "n * n^n1", r: "n^(n1+1)" }, { l: "n^n1 * n^n2", r: "n^(n1+n2)" }, { l: "n+n", r: "2*n" }, { l: "n+-n", r: "0" }, { l: "n1*n2 + n2", r: "(n1+1)*n2" }, { l: "n1*n3 + n2*n3", r: "(n1+n2)*n3" }, { l: "n1 + -1 * (n2 + n3)", r: "n1 + -1 * n2 + -1 * n3" }, x, { l: "(-n)*n1", r: "-(n*n1)" }, { l: "c+v", r: "v+c", context: { add: { commutative: !1 } } }, { l: "v*c", r: "c*v", context: { multiply: { commutative: !1 } } }, { l: "n+-n1", r: "n-n1" }, { l: "n*(n1^-1)", r: "n/n1" }, { l: "n*n1^-n2", r: "n/n1^n2" }, { l: "n1^-1", r: "1/n1" }, { l: "n*(n1/n2)", r: "(n*n1)/n2" }, { l: "n-(n1+n2)", r: "n-n1-n2" }, { l: "1*n", r: "n" }, { l: "n1/(n2/n3)", r: "(n1*n3)/n2" }]; var k = 0; var I = r("applyRule", { "Node, Object": function (e, t) { var r = e; if (r instanceof y || r instanceof d) { if (r.args) for (var n = 0; n < r.args.length; n++)r.args[n] = I(r.args[n], t) } else r instanceof g && r.content && (r.content = I(r.content, t)); var i = t.r, a = R(t.l, r)[0]; if (!a && t.expanded && (i = t.expanded.r, a = R(t.expanded.l, r)[0]), a) { var o = r.implicit; r = i.clone(), o && "implicit" in i && (r.implicit = !0), r = r.transform((function (e) { return e.isSymbolNode && Ze(a.placeholders, e.name) ? a.placeholders[e.name].clone() : e })) } return r } }); function B(e, t) { var r = { placeholders: {} }; if (!e.placeholders && !t.placeholders) return r; if (!e.placeholders) return t; if (!t.placeholders) return e; for (var n in e.placeholders) if (Ze(e.placeholders, n) && (r.placeholders[n] = e.placeholders[n], Ze(t.placeholders, n) && !j(e.placeholders[n], t.placeholders[n]))) return null; for (var i in t.placeholders) Ze(t.placeholders, i) && (r.placeholders[i] = t.placeholders[i]); return r } function D(e, t) { var r, n = []; if (0 === e.length || 0 === t.length) return n; for (var i = 0; i < e.length; i++)for (var a = 0; a < t.length; a++)(r = B(e[i], t[a])) && n.push(r); return n } function R(e, t, r) { var n = [{ placeholders: {} }]; if (e instanceof y && t instanceof y || e instanceof d && t instanceof d) { if (e instanceof y) { if (e.op !== t.op || e.fn !== t.fn) return [] } else if (e instanceof d && e.name !== t.name) return []; if ((1 !== t.args.length || 1 !== e.args.length) && S(t) && !r) { if (t.args.length >= 2 && 2 === e.args.length) { for (var i = function (e, t) { var r, n, i = [], a = C(e); if (M(e, t)) for (var o = 0; o < e.args.length; o++)(n = e.args.slice(0)).splice(o, 1), r = 1 === n.length ? n[0] : a(n), i.push(a([e.args[o], r])); else r = 1 === (n = e.args.slice(1)).length ? n[0] : a(n), i.push(a([e.args[0], r])); return i }(t, e.context), a = [], o = 0; o < i.length; o++) { var s = R(e, i[o], !0); a = a.concat(s) } return a } if (e.args.length > 2) throw Error("Unexpected non-binary associative function: " + e.toString()); return [] } for (var u = [], c = 0; c < e.args.length; c++) { var l = R(e.args[c], t.args[c]); if (0 === l.length) return []; u.push(l) } n = function (e) { if (0 === e.length) return e; for (var t = e.reduce(D), r = [], n = {}, i = 0; i < t.length; i++) { var a = JSON.stringify(t[i]); n[a] || (n[a] = !0, r.push(t[i])) } return r }(u) } else if (e instanceof v) { if (0 === e.name.length) throw new Error("Symbol in rule has 0 length...!?"); if (q[e.name]) { if (e.name !== t.name) return [] } else if ("n" === e.name[0] || "_p" === e.name.substring(0, 2)) n[0].placeholders[e.name] = t; else if ("v" === e.name[0]) { if (z(t)) return []; n[0].placeholders[e.name] = t } else { if ("c" !== e.name[0]) throw new Error("Invalid symbol in rule: " + e.name); if (!(t instanceof h)) return []; n[0].placeholders[e.name] = t } } else { if (!(e instanceof h)) return []; if (!f(e.value, t.value)) return [] } return n } function j(e, t) { if (e instanceof h && t instanceof h) { if (!f(e.value, t.value)) return !1 } else if (e instanceof v && t instanceof v) { if (e.name !== t.name) return !1 } else { if (!(e instanceof y && t instanceof y || e instanceof d && t instanceof d)) return !1; if (e instanceof y) { if (e.op !== t.op || e.fn !== t.fn) return !1 } else if (e instanceof d && e.name !== t.name) return !1; if (e.args.length !== t.args.length) return !1; for (var r = 0; r < e.args.length; r++)if (!j(e.args[r], t.args[r])) return !1 } return !0 } return _ })), Ec = Je("derivative", ["typed", "config", "parse", "simplify", "equal", "isZero", "numeric", "ConstantNode", "FunctionNode", "OperatorNode", "ParenthesisNode", "SymbolNode"], (function (e) { var t = e.typed, r = e.config, n = e.parse, i = e.simplify, a = e.equal, o = e.isZero, s = e.numeric, u = e.ConstantNode, c = e.FunctionNode, f = e.OperatorNode, l = e.ParenthesisNode, p = e.SymbolNode, m = t("derivative", { "Node, SymbolNode, Object": function (e, t, r) { var n = {}; d(n, e, t.name); var a = y(e, n); return r.simplify ? i(a) : a }, "Node, SymbolNode": function (e, t) { return this(e, t, { simplify: !0 }) }, "string, SymbolNode": function (e, t) { return this(n(e), t) }, "string, SymbolNode, Object": function (e, t, r) { return this(n(e), t, r) }, "string, string": function (e, t) { return this(n(e), n(t)) }, "string, string, Object": function (e, t, r) { return this(n(e), n(t), r) }, "Node, string": function (e, t) { return this(e, n(t)) }, "Node, string, Object": function (e, t, r) { return this(e, n(t), r) } }); m._simplify = !0, m.toTex = function (e) { return h.apply(null, e.args) }; var h = t("_derivTex", { "Node, SymbolNode": function (e, t) { return z(e) && "string" === H(e.value) ? h(n(e.value).toString(), t.toString(), 1) : h(e.toString(), t.toString(), 1) }, "Node, ConstantNode": function (e, t) { if ("string" === H(t.value)) return h(e, n(t.value)); throw new Error("The second parameter to 'derivative' is a non-string constant") }, "Node, SymbolNode, ConstantNode": function (e, t, r) { return h(e.toString(), t.name, r.value) }, "string, string, number": function (e, t, r) { return (1 === r ? "{d\\over d" + t + "}" : "{d^{" + r + "}\\over d" + t + "^{" + r + "}}") + "\\left[".concat(e, "\\right]") } }), d = t("constTag", { "Object, ConstantNode, string": function (e, t) { return e[t] = !0, !0 }, "Object, SymbolNode, string": function (e, t, r) { return t.name !== r && (e[t] = !0, !0) }, "Object, ParenthesisNode, string": function (e, t, r) { return d(e, t.content, r) }, "Object, FunctionAssignmentNode, string": function (e, t, r) { return -1 === t.params.indexOf(r) ? (e[t] = !0, !0) : d(e, t.expr, r) }, "Object, FunctionNode | OperatorNode, string": function (e, t, r) { if (t.args.length > 0) { for (var n = d(e, t.args[0], r), i = 1; i < t.args.length; ++i)n = d(e, t.args[i], r) && n; if (n) return e[t] = !0, !0 } return !1 } }), y = t("_derivative", { "ConstantNode, Object": function (e) { return g(0) }, "SymbolNode, Object": function (e, t) { return void 0 !== t[e] ? g(0) : g(1) }, "ParenthesisNode, Object": function (e, t) { return new l(y(e.content, t)) }, "FunctionAssignmentNode, Object": function (e, t) { return void 0 !== t[e] ? g(0) : y(e.expr, t) }, "FunctionNode, Object": function (e, t) { if (1 !== e.args.length && function (e) { if (("log" === e.name || "nthRoot" === e.name || "pow" === e.name) && 2 === e.args.length) return; for (var t = 0; t < e.args.length; ++t)e.args[t] = g(0); throw e.compile().evaluate(), new Error("Expected TypeError, but none found") }(e), void 0 !== t[e]) return g(0); var r, n, i, a, o = e.args[0], s = !1, u = !1; switch (e.name) { case "cbrt": s = !0, n = new f("*", "multiply", [g(3), new f("^", "pow", [o, new f("/", "divide", [g(2), g(3)])])]); break; case "sqrt": case "nthRoot": if (1 === e.args.length) s = !0, n = new f("*", "multiply", [g(2), new c("sqrt", [o])]); else if (2 === e.args.length) return t[r = new f("/", "divide", [g(1), e.args[1]])] = t[e.args[1]], y(new f("^", "pow", [o, r]), t); break; case "log10": r = g(10); case "log": if (r || 1 !== e.args.length) { if (1 === e.args.length && r || 2 === e.args.length && void 0 !== t[e.args[1]]) n = new f("*", "multiply", [o.clone(), new c("log", [r || e.args[1]])]), s = !0; else if (2 === e.args.length) return y(new f("/", "divide", [new c("log", [o]), new c("log", [e.args[1]])]), t) } else n = o.clone(), s = !0; break; case "pow": return t[r] = t[e.args[1]], y(new f("^", "pow", [o, e.args[1]]), t); case "exp": n = new c("exp", [o.clone()]); break; case "sin": n = new c("cos", [o.clone()]); break; case "cos": n = new f("-", "unaryMinus", [new c("sin", [o.clone()])]); break; case "tan": n = new f("^", "pow", [new c("sec", [o.clone()]), g(2)]); break; case "sec": n = new f("*", "multiply", [e, new c("tan", [o.clone()])]); break; case "csc": u = !0, n = new f("*", "multiply", [e, new c("cot", [o.clone()])]); break; case "cot": u = !0, n = new f("^", "pow", [new c("csc", [o.clone()]), g(2)]); break; case "asin": s = !0, n = new c("sqrt", [new f("-", "subtract", [g(1), new f("^", "pow", [o.clone(), g(2)])])]); break; case "acos": s = !0, u = !0, n = new c("sqrt", [new f("-", "subtract", [g(1), new f("^", "pow", [o.clone(), g(2)])])]); break; case "atan": s = !0, n = new f("+", "add", [new f("^", "pow", [o.clone(), g(2)]), g(1)]); break; case "asec": s = !0, n = new f("*", "multiply", [new c("abs", [o.clone()]), new c("sqrt", [new f("-", "subtract", [new f("^", "pow", [o.clone(), g(2)]), g(1)])])]); break; case "acsc": s = !0, u = !0, n = new f("*", "multiply", [new c("abs", [o.clone()]), new c("sqrt", [new f("-", "subtract", [new f("^", "pow", [o.clone(), g(2)]), g(1)])])]); break; case "acot": s = !0, u = !0, n = new f("+", "add", [new f("^", "pow", [o.clone(), g(2)]), g(1)]); break; case "sinh": n = new c("cosh", [o.clone()]); break; case "cosh": n = new c("sinh", [o.clone()]); break; case "tanh": n = new f("^", "pow", [new c("sech", [o.clone()]), g(2)]); break; case "sech": u = !0, n = new f("*", "multiply", [e, new c("tanh", [o.clone()])]); break; case "csch": u = !0, n = new f("*", "multiply", [e, new c("coth", [o.clone()])]); break; case "coth": u = !0, n = new f("^", "pow", [new c("csch", [o.clone()]), g(2)]); break; case "asinh": s = !0, n = new c("sqrt", [new f("+", "add", [new f("^", "pow", [o.clone(), g(2)]), g(1)])]); break; case "acosh": s = !0, n = new c("sqrt", [new f("-", "subtract", [new f("^", "pow", [o.clone(), g(2)]), g(1)])]); break; case "atanh": s = !0, n = new f("-", "subtract", [g(1), new f("^", "pow", [o.clone(), g(2)])]); break; case "asech": s = !0, u = !0, n = new f("*", "multiply", [o.clone(), new c("sqrt", [new f("-", "subtract", [g(1), new f("^", "pow", [o.clone(), g(2)])])])]); break; case "acsch": s = !0, u = !0, n = new f("*", "multiply", [new c("abs", [o.clone()]), new c("sqrt", [new f("+", "add", [new f("^", "pow", [o.clone(), g(2)]), g(1)])])]); break; case "acoth": s = !0, u = !0, n = new f("-", "subtract", [g(1), new f("^", "pow", [o.clone(), g(2)])]); break; case "abs": n = new f("/", "divide", [new c(new p("abs"), [o.clone()]), o.clone()]); break; case "gamma": default: throw new Error('Function "' + e.name + '" is not supported by derivative, or a wrong number of arguments is passed') }s ? (i = "/", a = "divide") : (i = "*", a = "multiply"); var l = y(o, t); return u && (l = new f("-", "unaryMinus", [l])), new f(i, a, [l, n]) }, "OperatorNode, Object": function (e, t) { if (void 0 !== t[e]) return g(0); if ("+" === e.op) return new f(e.op, e.fn, e.args.map((function (e) { return y(e, t) }))); if ("-" === e.op) { if (e.isUnary()) return new f(e.op, e.fn, [y(e.args[0], t)]); if (e.isBinary()) return new f(e.op, e.fn, [y(e.args[0], t), y(e.args[1], t)]) } if ("*" === e.op) { var r = e.args.filter((function (e) { return void 0 !== t[e] })); if (r.length > 0) { var n = e.args.filter((function (e) { return void 0 === t[e] })), i = 1 === n.length ? n[0] : new f("*", "multiply", n), s = r.concat(y(i, t)); return new f("*", "multiply", s) } return new f("+", "add", e.args.map((function (r) { return new f("*", "multiply", e.args.map((function (e) { return e === r ? y(e, t) : e.clone() }))) }))) } if ("/" === e.op && e.isBinary()) { var u = e.args[0], l = e.args[1]; return void 0 !== t[l] ? new f("/", "divide", [y(u, t), l]) : void 0 !== t[u] ? new f("*", "multiply", [new f("-", "unaryMinus", [u]), new f("/", "divide", [y(l, t), new f("^", "pow", [l.clone(), g(2)])])]) : new f("/", "divide", [new f("-", "subtract", [new f("*", "multiply", [y(u, t), l.clone()]), new f("*", "multiply", [u.clone(), y(l, t)])]), new f("^", "pow", [l.clone(), g(2)])]) } if ("^" === e.op && e.isBinary()) { var p = e.args[0], m = e.args[1]; if (void 0 !== t[p]) return z(p) && (o(p.value) || a(p.value, 1)) ? g(0) : new f("*", "multiply", [e, new f("*", "multiply", [new c("log", [p.clone()]), y(m.clone(), t)])]); if (void 0 !== t[m]) { if (z(m)) { if (o(m.value)) return g(0); if (a(m.value, 1)) return y(p, t) } var h = new f("^", "pow", [p.clone(), new f("-", "subtract", [m, g(1)])]); return new f("*", "multiply", [m.clone(), new f("*", "multiply", [y(p, t), h])]) } return new f("*", "multiply", [new f("^", "pow", [p.clone(), m.clone()]), new f("+", "add", [new f("*", "multiply", [y(p, t), new f("/", "divide", [m.clone(), p.clone()])]), new f("*", "multiply", [y(m, t), new c("log", [p.clone()])])])]) } throw new Error('Operator "' + e.op + '" is not supported by derivative, or a wrong number of arguments is passed') } }); function g(e, t) { return new u(s(e, t || r.number)) } return m })), Ac = Je("rationalize", ["config", "typed", "equal", "isZero", "add", "subtract", "multiply", "divide", "pow", "parse", "simplify", "?bignumber", "?fraction", "mathWithTransform", "ConstantNode", "OperatorNode", "FunctionNode", "SymbolNode", "ParenthesisNode"], (function (e) { var t = e.config, r = e.typed, n = e.equal, i = e.isZero, a = e.add, o = e.subtract, s = e.multiply, u = e.divide, c = e.pow, f = e.parse, l = e.simplify, p = e.fraction, m = e.bignumber, h = e.mathWithTransform, d = e.ConstantNode, y = e.OperatorNode, g = e.FunctionNode, v = e.SymbolNode, x = e.ParenthesisNode, b = wc({ typed: r, config: t, mathWithTransform: h, fraction: p, bignumber: m, ConstantNode: d, OperatorNode: y, FunctionNode: g, SymbolNode: v }), w = bc({ equal: n, isZero: i, add: a, subtract: o, multiply: s, divide: u, pow: c, ConstantNode: d, OperatorNode: y, FunctionNode: g, ParenthesisNode: x }); return r("rationalize", { string: function (e) { return this(f(e), {}, !1) }, "string, boolean": function (e, t) { return this(f(e), {}, t) }, "string, Object": function (e, t) { return this(f(e), t, !1) }, "string, Object, boolean": function (e, t, r) { return this(f(e), t, r) }, Node: function (e) { return this(e, {}, !1) }, "Node, boolean": function (e, t) { return this(e, {}, t) }, "Node, Object": function (e, t) { return this(e, t, !1) }, "Node, Object, boolean": function (e, t, r) { var n = function () { var e = [w, { l: "n+n", r: "2*n" }, { l: "n+-n", r: "0" }, b, { l: "n*(n1^-1)", r: "n/n1" }, { l: "n*n1^-n2", r: "n/n1^n2" }, { l: "n1^-1", r: "1/n1" }, { l: "n*(n1/n2)", r: "(n*n1)/n2" }, { l: "1*n", r: "n" }], t = [{ l: "(-n1)/(-n2)", r: "n1/n2" }, { l: "(-n1)*(-n2)", r: "n1*n2" }, { l: "n1--n2", r: "n1+n2" }, { l: "n1-n2", r: "n1+(-n2)" }, { l: "(n1+n2)*n3", r: "(n1*n3 + n2*n3)" }, { l: "n1*(n2+n3)", r: "(n1*n2+n1*n3)" }, { l: "c1*n + c2*n", r: "(c1+c2)*n" }, { l: "c1*n + n", r: "(c1+1)*n" }, { l: "c1*n - c2*n", r: "(c1-c2)*n" }, { l: "c1*n - n", r: "(c1-1)*n" }, { l: "v/c", r: "(1/c)*v" }, { l: "v/-c", r: "-(1/c)*v" }, { l: "-v*-c", r: "c*v" }, { l: "-v*c", r: "-c*v" }, { l: "v*-c", r: "-c*v" }, { l: "v*c", r: "c*v" }, { l: "-(-n1*n2)", r: "(n1*n2)" }, { l: "-(n1*n2)", r: "(-n1*n2)" }, { l: "-(-n1+n2)", r: "(n1-n2)" }, { l: "-(n1+n2)", r: "(-n1-n2)" }, { l: "(n1^n2)^n3", r: "(n1^(n2*n3))" }, { l: "-(-n1/n2)", r: "(n1/n2)" }, { l: "-(n1/n2)", r: "(-n1/n2)" }], r = [{ l: "(n1/(n2/n3))", r: "((n1*n3)/n2)" }, { l: "(n1/n2/n3)", r: "(n1/(n2*n3))" }], n = {}; return n.firstRules = e.concat(t, r), n.distrDivRules = [{ l: "(n1/n2 + n3/n4)", r: "((n1*n4 + n3*n2)/(n2*n4))" }, { l: "(n1/n2 + n3)", r: "((n1 + n3*n2)/n2)" }, { l: "(n1 + n2/n3)", r: "((n1*n3 + n2)/n3)" }], n.sucDivRules = r, n.firstRulesAgain = e.concat(t), n.finalRules = [w, { l: "n*-n", r: "-n^2" }, { l: "n*n", r: "n^2" }, b, { l: "n*-n^n1", r: "-n^(n1+1)" }, { l: "n*n^n1", r: "n^(n1+1)" }, { l: "n^n1*-n^n2", r: "-n^(n1+n2)" }, { l: "n^n1*n^n2", r: "n^(n1+n2)" }, { l: "n^n1*-n", r: "-n^(n1+1)" }, { l: "n^n1*n", r: "n^(n1+1)" }, { l: "n^n1/-n", r: "-n^(n1-1)" }, { l: "n^n1/n", r: "n^(n1-1)" }, { l: "n/-n^n1", r: "-n^(1-n1)" }, { l: "n/n^n1", r: "n^(1-n1)" }, { l: "n^n1/-n^n2", r: "n^(n1-n2)" }, { l: "n^n1/n^n2", r: "n^(n1-n2)" }, { l: "n1+(-n2*n3)", r: "n1-n2*n3" }, { l: "v*(-c)", r: "-c*v" }, { l: "n1+-n2", r: "n1-n2" }, { l: "v*c", r: "c*v" }, { l: "(n1^n2)^n3", r: "(n1^(n2*n3))" }], n }(), i = function (e, t, r, n) { var i = [], a = l(e, n, t, { exactFractions: !1 }), o = "+-*" + ((r = !!r) ? "/" : ""); !function e(t) { var r = t.type; if ("FunctionNode" === r) throw new Error("There is an unsolved function call"); if ("OperatorNode" === r) if ("^" === t.op) { if ("ConstantNode" !== t.args[1].type || !V(parseFloat(t.args[1].value))) throw new Error("There is a non-integer exponent"); e(t.args[0]) } else { if (-1 === o.indexOf(t.op)) throw new Error("Operator " + t.op + " invalid in polynomial expression"); for (var n = 0; n < t.args.length; n++)e(t.args[n]) } else if ("SymbolNode" === r) { var a = t.name; -1 === i.indexOf(a) && i.push(a) } else if ("ParenthesisNode" === r) e(t.content); else if ("ConstantNode" !== r) throw new Error("type " + r + " is not allowed in polynomial expression") }(a); var s = {}; return s.expression = a, s.variables = i, s }(e, t, !0, n.firstRules), a = i.variables.length; if (e = i.expression, a >= 1) { var o, s; e = function e(t, r, n) { var i = t.type, a = arguments.length > 1; if ("OperatorNode" === i && t.isBinary()) { var o, s = !1; if ("^" === t.op && ("ParenthesisNode" !== t.args[0].type && "OperatorNode" !== t.args[0].type || "ConstantNode" !== t.args[1].type || (o = parseFloat(t.args[1].value), s = o >= 2 && V(o))), s) { if (o > 2) { var u = t.args[0], c = new y("^", "pow", [t.args[0].cloneDeep(), new d(o - 1)]); t = new y("*", "multiply", [u, c]) } else t = new y("*", "multiply", [t.args[0], t.args[0].cloneDeep()]); a && ("content" === n ? r.content = t : r.args[n] = t) } } if ("ParenthesisNode" === i) e(t.content, t, "content"); else if ("ConstantNode" !== i && "SymbolNode" !== i) for (var f = 0; f < t.args.length; f++)e(t.args[f], t, f); if (!a) return t }(e); var u, c = !0, f = !1; for (e = l(e, n.firstRules, {}, { exactFractions: !1 }); s = c ? n.distrDivRules : n.sucDivRules, c = !c, (u = (e = l(e, s)).toString()) !== o;)f = !0, o = u; f && (e = l(e, n.firstRulesAgain, {}, { exactFractions: !1 })), e = l(e, n.finalRules, {}, { exactFractions: !1 }) } var p = [], m = {}; return "OperatorNode" === e.type && e.isBinary() && "/" === e.op ? (1 === a && (e.args[0] = N(e.args[0], p), e.args[1] = N(e.args[1])), r && (m.numerator = e.args[0], m.denominator = e.args[1])) : (1 === a && (e = N(e, p)), r && (m.numerator = e, m.denominator = null)), r ? (m.coefficients = p, m.variables = i.variables, m.expression = e, m) : e } }); function N(e, t) { void 0 === t && (t = []), t[0] = 0; var r = { cte: 1, oper: "+", fire: "" }, n = 0, i = ""; !function e(r, a, o) { var s = r.type; if ("FunctionNode" === s) throw new Error("There is an unsolved function call"); if ("OperatorNode" === s) { if (-1 === "+-*^".indexOf(r.op)) throw new Error("Operator " + r.op + " invalid"); if (null !== a) { if (("unaryMinus" === r.fn || "pow" === r.fn) && "add" !== a.fn && "subtract" !== a.fn && "multiply" !== a.fn) throw new Error("Invalid " + r.op + " placing"); if (("subtract" === r.fn || "add" === r.fn || "multiply" === r.fn) && "add" !== a.fn && "subtract" !== a.fn) throw new Error("Invalid " + r.op + " placing"); if (("subtract" === r.fn || "add" === r.fn || "unaryMinus" === r.fn) && 0 !== o.noFil) throw new Error("Invalid " + r.op + " placing") } "^" !== r.op && "*" !== r.op || (o.fire = r.op); for (var u = 0; u < r.args.length; u++)"unaryMinus" === r.fn && (o.oper = "-"), "+" !== r.op && "subtract" !== r.fn || (o.fire = "", o.cte = 1, o.oper = 0 === u ? "+" : r.op), o.noFil = u, e(r.args[u], r, o) } else if ("SymbolNode" === s) { if (r.name !== i && "" !== i) throw new Error("There is more than one variable"); if (i = r.name, null === a) return void (t[1] = 1); if ("^" === a.op && 0 !== o.noFil) throw new Error("In power the variable should be the first parameter"); if ("*" === a.op && 1 !== o.noFil) throw new Error("In multiply the variable should be the second parameter"); "" !== o.fire && "*" !== o.fire || (n < 1 && (t[1] = 0), t[1] += o.cte * ("+" === o.oper ? 1 : -1), n = Math.max(1, n)) } else { if ("ConstantNode" !== s) throw new Error("Type " + s + " is not allowed"); var c = parseFloat(r.value); if (null === a) return void (t[0] = c); if ("^" === a.op) { if (1 !== o.noFil) throw new Error("Constant cannot be powered"); if (!V(c) || c <= 0) throw new Error("Non-integer exponent is not allowed"); for (var f = n + 1; f < c; f++)t[f] = 0; return c > n && (t[c] = 0), t[c] += o.cte * ("+" === o.oper ? 1 : -1), void (n = Math.max(c, n)) } o.cte = c, "" === o.fire && (t[0] += o.cte * ("+" === o.oper ? 1 : -1)) } }(e, null, r); for (var a, o = !0, s = n = t.length - 1; s >= 0; s--)if (0 !== t[s]) { var u = new d(o ? t[s] : Math.abs(t[s])), c = t[s] < 0 ? "-" : "+"; if (s > 0) { var f = new v(i); if (s > 1) { var l = new d(s); f = new y("^", "pow", [f, l]) } u = -1 === t[s] && o ? new y("-", "unaryMinus", [f]) : 1 === Math.abs(t[s]) ? f : new y("*", "multiply", [u, f]) } a = o ? u : "+" === c ? new y("+", "add", [a, u]) : new y("-", "subtract", [a, u]), o = !1 } return o ? new d(0) : a } })), Oc = Je("reviver", ["classes"], (function (e) { var t = e.classes; return function (e, r) { var n = t[r && r.mathjs]; return n && "function" == typeof n.fromJSON ? n.fromJSON(r) : r } })), Cc = Je("replacer", [], (function () { return function (e, t) { return "number" != typeof t || isFinite(t) && !isNaN(t) ? t : { mathjs: "number", value: String(t) } } })), _c = Math.PI, Tc = 2 * Math.PI, qc = Math.E, zc = Je("true", [], (function () { return !0 })), kc = Je("false", [], (function () { return !1 })), Ic = Je("null", [], (function () { return null })), Bc = Xc("Infinity", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(1 / 0) : 1 / 0 })), Dc = Xc("NaN", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(NaN) : NaN })), Rc = Xc("pi", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? Ya(r) : _c })), jc = Xc("tau", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? Xa(r) : Tc })), Pc = Xc("e", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? Wa(r) : qc })), Uc = Xc("phi", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? Ja(r) : 1.618033988749895 })), Fc = Xc("LN2", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(2).ln() : Math.LN2 })), Lc = Xc("LN10", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(10).ln() : Math.LN10 })), Hc = Xc("LOG2E", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(1).div(new r(2).ln()) : Math.LOG2E })), $c = Xc("LOG10E", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(1).div(new r(10).ln()) : Math.LOG10E })), Gc = Xc("SQRT1_2", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r("0.5").sqrt() : Math.SQRT1_2 })), Vc = Xc("SQRT2", ["config", "?BigNumber"], (function (e) { var t = e.config, r = e.BigNumber; return "BigNumber" === t.number ? new r(2).sqrt() : Math.SQRT2 })), Zc = Xc("i", ["Complex"], (function (e) { return e.Complex.I })), Wc = Je("PI", ["pi"], (function (e) { return e.pi })), Jc = Je("E", ["e"], (function (e) { return e.e })), Yc = Je("version", [], (function () { return "8.1.0" })); function Xc(e, t, r) { return Je(e, t, r, { recreateOnConfigChange: !0 }) } var Qc = Jf("speedOfLight", "299792458", "m s^-1"), Kc = Jf("gravitationConstant", "6.67430e-11", "m^3 kg^-1 s^-2"), ef = Jf("planckConstant", "6.62607015e-34", "J s"), tf = Jf("reducedPlanckConstant", "1.0545718176461565e-34", "J s"), rf = Jf("magneticConstant", "1.25663706212e-6", "N A^-2"), nf = Jf("electricConstant", "8.8541878128e-12", "F m^-1"), af = Jf("vacuumImpedance", "376.730313667", "ohm"), of = Jf("coulomb", "8.987551792261171e9", "N m^2 C^-2"), sf = Jf("elementaryCharge", "1.602176634e-19", "C"), uf = Jf("bohrMagneton", "9.2740100783e-24", "J T^-1"), cf = Jf("conductanceQuantum", "7.748091729863649e-5", "S"), ff = Jf("inverseConductanceQuantum", "12906.403729652257", "ohm"), lf = Jf("magneticFluxQuantum", "2.0678338484619295e-15", "Wb"), pf = Jf("nuclearMagneton", "5.0507837461e-27", "J T^-1"), mf = Jf("klitzing", "25812.807459304513", "ohm"), hf = Jf("bohrRadius", "5.29177210903e-11", "m"), df = Jf("classicalElectronRadius", "2.8179403262e-15", "m"), yf = Jf("electronMass", "9.1093837015e-31", "kg"), gf = Jf("fermiCoupling", "1.1663787e-5", "GeV^-2"), vf = Yf("fineStructure", .0072973525693), xf = Jf("hartreeEnergy", "4.3597447222071e-18", "J"), bf = Jf("protonMass", "1.67262192369e-27", "kg"), wf = Jf("deuteronMass", "3.3435830926e-27", "kg"), Nf = Jf("neutronMass", "1.6749271613e-27", "kg"), Mf = Jf("quantumOfCirculation", "3.6369475516e-4", "m^2 s^-1"), Sf = Jf("rydberg", "10973731.568160", "m^-1"), Ef = Jf("thomsonCrossSection", "6.6524587321e-29", "m^2"), Af = Yf("weakMixingAngle", .2229), Of = Yf("efimovFactor", 22.7), Cf = Jf("atomicMass", "1.66053906660e-27", "kg"), _f = Jf("avogadro", "6.02214076e23", "mol^-1"), Tf = Jf("boltzmann", "1.380649e-23", "J K^-1"), qf = Jf("faraday", "96485.33212331001", "C mol^-1"), zf = Jf("firstRadiation", "3.7417718521927573e-16", "W m^2"), kf = Jf("loschmidt", "2.686780111798444e25", "m^-3"), If = Jf("gasConstant", "8.31446261815324", "J K^-1 mol^-1"), Bf = Jf("molarPlanckConstant", "3.990312712893431e-10", "J s mol^-1"), Df = Jf("molarVolume", "0.022413969545014137", "m^3 mol^-1"), Rf = Yf("sackurTetrode", -1.16487052358), jf = Jf("secondRadiation", "0.014387768775039337", "m K"), Pf = Jf("stefanBoltzmann", "5.67037441918443e-8", "W m^-2 K^-4"), Uf = Jf("wienDisplacement", "2.897771955e-3", "m K"), Ff = Jf("molarMass", "0.99999999965e-3", "kg mol^-1"), Lf = Jf("molarMassC12", "11.9999999958e-3", "kg mol^-1"), Hf = Jf("gravity", "9.80665", "m s^-2"), $f = Jf("planckLength", "1.616255e-35", "m"), Gf = Jf("planckMass", "2.176435e-8", "kg"), Vf = Jf("planckTime", "5.391245e-44", "s"), Zf = Jf("planckCharge", "1.87554603778e-18", "C"), Wf = Jf("planckTemperature", "1.416785e+32", "K"); function Jf(e, t, r) { return Je(e, ["config", "Unit", "BigNumber"], (function (e) { var n = e.config, i = e.Unit, a = e.BigNumber, o = new i("BigNumber" === n.number ? new a(t) : parseFloat(t), r); return o.fixPrefix = !0, o })) } function Yf(e, t) { return Je(e, ["config", "BigNumber"], (function (e) { var r = e.config, n = e.BigNumber; return "BigNumber" === r.number ? new n(t) : t })) } var Xf = Je("apply", ["typed", "isInteger"], (function (e) { var t = e.typed, r = e.isInteger, n = xr({ typed: t, isInteger: r }); return t("apply", { "...any": function (e) { var t = e[1]; a(t) ? e[1] = t - 1 : o(t) && (e[1] = t.minus(1)); try { return n.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), Qf = Je("column", ["typed", "Index", "matrix", "range"], (function (e) { var t = e.typed, r = e.Index, n = e.matrix, i = e.range, o = Fn({ typed: t, Index: r, matrix: n, range: i }); return t("column", { "...any": function (e) { var t = e.length - 1, r = e[t]; a(r) && (e[t] = r - 1); try { return o.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }); function Kf(e, t, r) { var n = e.filter((function (e) { return F(e) && !(e.name in t) && !(e.name in r) }))[0]; if (!n) throw new Error('No undefined variable found in inline expression "' + e + '"'); var i = n.name, a = Object.create(r), o = e.compile(); return function (e) { return a[i] = e, o.evaluate(a) } } var el = Je("filter", ["typed"], (function (e) { var t = e.typed; function r(e, t, r) { var i, a; return e[0] && (i = e[0].compile().evaluate(r)), e[1] && (a = F(e[1]) || k(e[1]) ? e[1].compile().evaluate(r) : Kf(e[1], t, r)), n(i, a) } r.rawArgs = !0; var n = t("filter", { "Array, function": tl, "Matrix, function": function (e, t) { return e.create(tl(e.toArray(), t)) }, "Array, RegExp": Ie, "Matrix, RegExp": function (e, t) { return e.create(Ie(e.toArray(), t)) } }); return r }), { isTransformFunction: !0 }); function tl(e, t) { var r = Vn(t); return ke(e, (function (e, n, i) { return 1 === r ? t(e) : 2 === r ? t(e, [n + 1]) : t(e, [n + 1], i) })) } var rl = Je("forEach", ["typed"], (function (e) { var t = e.typed; function r(e, t, r) { var i, a; return e[0] && (i = e[0].compile().evaluate(r)), e[1] && (a = F(e[1]) || k(e[1]) ? e[1].compile().evaluate(r) : Kf(e[1], t, r)), n(i, a) } r.rawArgs = !0; var n = t("forEach", { "Array | Matrix, function": function (e, t) { var r = Vn(t); !function n(i, a) { Array.isArray(i) ? ze(i, (function (e, t) { n(e, a.concat(t + 1)) })) : 1 === r ? t(i) : 2 === r ? t(i, a) : t(i, a, e) }(e.valueOf(), []) } }); return r }), { isTransformFunction: !0 }), nl = Je("index", ["Index"], (function (e) { var t = e.Index; return function () { for (var e = [], r = 0, n = arguments.length; r < n; r++) { var i = arguments[r]; if (y(i)) i.start--, i.end -= i.step > 0 ? 0 : 2; else if (i && !0 === i.isSet) i = i.map((function (e) { return e - 1 })); else if (l(i) || p(i)) i = i.map((function (e) { return e - 1 })); else if (a(i)) i--; else if (o(i)) i = i.toNumber() - 1; else if ("string" != typeof i) throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range"); e[r] = i } var s = new t; return t.apply(s, e), s } }), { isTransformFunction: !0 }), il = Je("map", ["typed"], (function (e) { var t = e.typed; function r(e, t, r) { var i, a; return e[0] && (i = e[0].compile().evaluate(r)), e[1] && (a = F(e[1]) || k(e[1]) ? e[1].compile().evaluate(r) : Kf(e[1], t, r)), n(i, a) } r.rawArgs = !0; var n = t("map", { "Array, function": function (e, t) { return al(e, t, e) }, "Matrix, function": function (e, t) { return e.create(al(e.valueOf(), t, e)) } }); return r }), { isTransformFunction: !0 }); function al(e, t, r) { var n = Vn(t); return function e(i, a) { return Array.isArray(i) ? qe(i, (function (t, r) { return e(t, a.concat(r + 1)) })) : 1 === n ? t(i) : 2 === n ? t(i, a) : t(i, a, r) }(e, []) } var ol = Je("max", ["typed", "config", "numeric", "larger"], (function (e) { var t = e.typed, r = e.config, n = e.numeric, i = e.larger, s = La({ typed: t, config: r, numeric: n, larger: i }); return t("max", { "...any": function (e) { if (2 === e.length && m(e[0])) { var t = e[1]; a(t) ? e[1] = t - 1 : o(t) && (e[1] = t.minus(1)) } try { return s.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), sl = Je("mean", ["typed", "add", "divide"], (function (e) { var t = e.typed, r = e.add, n = e.divide, i = Uu({ typed: t, add: r, divide: n }); return t("mean", { "...any": function (e) { if (2 === e.length && m(e[0])) { var t = e[1]; a(t) ? e[1] = t - 1 : o(t) && (e[1] = t.minus(1)) } try { return i.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), ul = Je("min", ["typed", "config", "numeric", "smaller"], (function (e) { var t = e.typed, r = e.config, n = e.numeric, i = e.smaller, s = Ha({ typed: t, config: r, numeric: n, smaller: i }); return t("min", { "...any": function (e) { if (2 === e.length && m(e[0])) { var t = e[1]; a(t) ? e[1] = t - 1 : o(t) && (e[1] = t.minus(1)) } try { return s.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), cl = Je("range", ["typed", "config", "?matrix", "?bignumber", "smaller", "smallerEq", "larger", "largerEq"], (function (e) { var t = e.typed, r = e.config, n = e.matrix, i = e.bignumber, a = e.smaller, o = e.smallerEq, s = e.larger, u = e.largerEq, c = ui({ typed: t, config: r, matrix: n, bignumber: i, smaller: a, smallerEq: o, larger: s, largerEq: u }); return t("range", { "...any": function (e) { return "boolean" != typeof e[e.length - 1] && e.push(!0), c.apply(null, e) } }) }), { isTransformFunction: !0 }), fl = Je("row", ["typed", "Index", "matrix", "range"], (function (e) { var t = e.typed, r = e.Index, n = e.matrix, i = e.range, o = hi({ typed: t, Index: r, matrix: n, range: i }); return t("row", { "...any": function (e) { var t = e.length - 1, r = e[t]; a(r) && (e[t] = r - 1); try { return o.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), ll = Je("subset", ["typed", "matrix"], (function (e) { var t = e.typed, r = e.matrix, n = Ei({ typed: t, matrix: r }); return t("subset", { "...any": function (e) { try { return n.apply(null, e) } catch (e) { throw ds(e) } } }) }), { isTransformFunction: !0 }), pl = Je("concat", ["typed", "matrix", "isInteger"], (function (e) { var t = e.typed, r = e.matrix, n = e.isInteger, i = Pn({ typed: t, matrix: r, isInteger: n }); return t("concat", { "...any": function (e) { var t = e.length - 1, r = e[t]; a(r) ? 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Name: " + JSON.stringify(e)); "math" === e ? n.math = r : "mathWithTransform" === e ? n.mathWithTransform = r.expression.mathWithTransform : "classes" === e ? n.classes = r : n[e] = r[e] })); var o = t(n); if (o && "function" == typeof o.transform) throw new Error('Transforms cannot be attached to factory functions. Please create a separate function for it with exports.path="expression.transform"'); if (void 0 === u || i.override) return o; if (h(u) && h(o)) return e(u, o); if (i.silent) return u; throw new Error('Cannot import "' + a + '": already exists') }; t.meta && !1 === t.meta.lazy ? (o[a] = c(), u && s ? f(a) : (g(t) || y(t)) && Ve(r.expression.mathWithTransform, a, (function () { return o[a] }))) : (Ve(o, a, c), u && s ? f(a) : (g(t) || y(t)) && Ve(r.expression.mathWithTransform, a, (function () { return o[a] }))), n[a] = t, r.emit("import", a, c) } function m(e) { return "function" == typeof e || "number" == typeof e || "string" == typeof e || "boolean" == typeof e || null === e || c(e) || s(e) || o(e) || u(e) || p(e) || Array.isArray(e) } function h(e) { return "function" == typeof e && "object" === xl(e.signatures) } function d(e) { return !Ze(v, e) } function y(e) { return !(-1 !== e.fn.indexOf(".") || Ze(v, e.fn) || e.meta && e.meta.isClass) } function g(e) { return void 0 !== e && void 0 !== e.meta && !0 === e.meta.isTransformFunction || !1 } var v = { expression: !0, type: !0, docs: !0, error: !0, json: !0, chain: !0 }; return function (e, t) { var r = arguments.length; if (1 !== r && 2 !== r) throw new fi("import", r, 1, 2); function n(e, r, i) { if (Array.isArray(r)) r.forEach((function (t) { return n(e, t) })); else if ("object" === xl(r)) for (var a in r) Ze(r, a) && n(e, r[a], a); else if (Ye(r) || void 0 !== i) { var o = Ye(r) ? g(r) ? r.fn + ".transform" : r.fn : i; if (Ze(e, o) && e[o] !== r && !t.silent) throw new Error('Cannot import "' + o + '" twice'); e[o] = r } else if (!t.silent) throw new TypeError("Factory, Object, or Array expected") } t || (t = {}); var a = {}; for (var o in n(a, e), a) if (Ze(a, o)) { var s = a[o]; if (Ye(s)) l(s, t); else if (m(s)) i(o, s, t); else if (!t.silent) throw new TypeError("Factory, Object, or Array expected") } } } var wl = { epsilon: 1e-12, matrix: "Matrix", number: "number", precision: 64, predictable: !1, randomSeed: null }, Nl = ["Matrix", "Array"], Ml = ["number", "BigNumber", "Fraction"]; function Sl(e, t) { function r(r) { if (r) { var n = Le(e, Fe); El(r, "matrix", Nl), El(r, "number", Ml), function e(t, r) { if (Array.isArray(r)) throw new TypeError("Arrays are not supported by deepExtend"); for (var n in r) if (Ze(r, n) && !(n in Object.prototype) && !(n in Function.prototype)) if (r[n] && r[n].constructor === Object) void 0 === t[n] && (t[n] = {}), t[n] && t[n].constructor === Object ? e(t[n], r[n]) : t[n] = r[n]; else { if (Array.isArray(r[n])) throw new TypeError("Arrays are not supported by deepExtend"); t[n] = r[n] } return t }(e, r); var i = Le(e, Fe), a = Le(r, Fe); return t("config", i, n, a), i } return Le(e, Fe) } return r.MATRIX_OPTIONS = Nl, r.NUMBER_OPTIONS = Ml, Object.keys(wl).forEach((function (t) { Object.defineProperty(r, t, { get: function () { return e[t] }, enumerable: !0, configurable: !0 }) })), r } function El(e, t, r) { var n, i; void 0 !== e[t] && (n = r, i = e[t], -1 === n.indexOf(i)) && console.warn('Warning: Unknown value "' + e[t] + '" for configuration option "' + t + '". Available options: ' + r.map((function (e) { return JSON.stringify(e) })).join(", ") + ".") } function Al() { return (Al = Object.assign || function (e) { for (var t = 1; t < arguments.length; t++) { var r = arguments[t]; for (var n in r) Object.prototype.hasOwnProperty.call(r, n) && (e[n] = r[n]) } return e }).apply(this, arguments) } t.default = function e(t, r) { var n = Al({}, wl, r); if ("function" != typeof Object.create) throw new Error("ES5 not supported by this JavaScript engine. Please load the es5-shim and es5-sham library for compatibility."); var i, H, $ = (i = { isNumber: a, isComplex: s, isBigNumber: o, isFraction: u, isUnit: c, isString: f, isArray: l, isMatrix: p, isCollection: m, isDenseMatrix: h, isSparseMatrix: d, isRange: y, isIndex: g, isBoolean: v, isResultSet: x, isHelp: b, isFunction: w, isDate: N, isRegExp: M, isObject: S, isNull: E, isUndefined: A, isAccessorNode: O, isArrayNode: C, isAssignmentNode: _, isBlockNode: T, isConditionalNode: q, isConstantNode: z, isFunctionAssignmentNode: k, isFunctionNode: I, isIndexNode: B, isNode: D, isObjectNode: R, isOperatorNode: j, isParenthesisNode: P, isRangeNode: U, isSymbolNode: F, isChain: L }, H = new vl.a, i.on = H.on.bind(H), i.off = H.off.bind(H), i.once = H.once.bind(H), i.emit = H.emit.bind(H), i); $.config = Sl(n, $.emit), $.expression = { transform: {}, mathWithTransform: { config: $.config } }; var G = {}, V = bl((function () { for (var e = arguments.length, t = new Array(e), r = 0; r < e; r++)t[r] = arguments[r]; return $.typed.apply($.typed, t) }), 0, $, G); return $.import = V, $.on("config", (function () { We(G).forEach((function (e) { e && e.meta && e.meta.recreateOnConfigChange && V(e, { override: !0 }) })) })), $.create = e.bind(null, t), $.factory = Je, $.import(We(Ge(t))), $.ArgumentsError = fi, $.DimensionError = we, $.IndexError = Ne, $ }(n) }]).default -})); - //# sourceMappingURL=math.js.map \ No newline at end of file diff --git a/plugins/src/calc/mod.rs b/plugins/src/calc/mod.rs new file mode 100644 index 0000000..cb97c98 --- /dev/null +++ b/plugins/src/calc/mod.rs @@ -0,0 +1,139 @@ +use futures_lite::{AsyncBufReadExt, AsyncWriteExt, StreamExt}; +use pop_launcher::*; +use regex::Regex; +use smol::{ + process::{Command, Stdio}, + Unblock, +}; +use std::{borrow::Cow, io}; + +pub async fn main() { + let mut requests = json_input_stream(async_stdin()); + + let mut app = App::default(); + + while let Some(result) = requests.next().await { + match result { + Ok(request) => match request { + Request::Activate(_) => app.activate().await, + Request::ActivateContext { .. } => app.activate_context().await, + Request::Context(_) => app.context().await, + Request::Search(query) => app.search(&query).await, + Request::Exit => break, + _ => (), + }, + Err(why) => { + tracing::error!("malformed JSON input: {}", why); + } + } + } +} + +pub struct App { + out: Unblock, + outcome: Option, + regex: Regex, +} + +impl Default for App { + fn default() -> Self { + Self { + out: async_stdout(), + outcome: None, + regex: Regex::new("\\x1B\\[(?:;?[0-9]{1,3})+[mGK]").expect("bad regex for qalc"), + } + } +} + +impl App { + pub async fn activate(&mut self) { + if let Some(mut outcome) = self.outcome.take() { + outcome = ["= ", outcome.as_str()].concat(); + crate::send(&mut self.out, PluginResponse::Fill(outcome)).await; + } + } + + pub async fn activate_context(&mut self) { + crate::xdg_open("https://qalculate.github.io/manual/qalc.html"); + crate::send(&mut self.out, PluginResponse::Close).await; + } + + pub async fn context(&mut self) { + let options = vec![ContextOption { + id: 0, + name: "Qalc Manual".into(), + }]; + + crate::send(&mut self.out, PluginResponse::Context { id: 0, options }).await; + } + + pub async fn search(&mut self, query: &str) { + if let Some(mut search) = query.strip_prefix("=") { + search = search.trim(); + self.outcome = qcalc(&mut self.regex, search).await; + + crate::send( + &mut self.out, + PluginResponse::Append(PluginSearchResult { + id: 0, + name: self + .outcome + .clone() + .unwrap_or_else(|| [search, " x = ?"].concat()), + description: "Math expressions by Qalc".to_owned(), + icon: Some(IconSource::Name(Cow::Borrowed("accessories-calculator"))), + ..Default::default() + }), + ) + .await; + + crate::send(&mut self.out, PluginResponse::Finished).await; + } + } +} + +async fn qcalc(regex: &mut Regex, expression: &str) -> Option { + let mut child = Command::new("qalc") + .env("LANG", "C") + .arg("-t") + .stdin(Stdio::piped()) + .stdout(Stdio::piped()) + .stderr(Stdio::null()) + .spawn() + .ok()?; + + if let Some(mut stdin) = child.stdin.take() { + let _ = stdin + .write_all([expression, "\n"].concat().as_bytes()) + .await; + } + + if let Some(stdout) = child.stdout.take() { + let mut reader = smol::io::BufReader::new(stdout).lines().skip(2); + let mut output = String::new(); + + while let Some(Ok(line)) = reader.next().await { + let line = line.trim(); + + if line.is_empty() { + break; + } + + let normalized = regex.replace_all(line, ""); + + if normalized.starts_with("error") { + return None; + } else { + if !output.is_empty() { + output.push(' '); + } + + output.push_str(normalized.as_ref()); + }; + } + + return Some(output); + } + + None +} diff --git a/plugins/src/calc/plugin.ron b/plugins/src/calc/plugin.ron index a0b1fc4..028dc3e 100644 --- a/plugins/src/calc/plugin.ron +++ b/plugins/src/calc/plugin.ron @@ -6,6 +6,6 @@ help: "= ", isolate: true, ), - bin: (path: "calc.js"), + bin: (path: "calc"), icon: Name("x-office-spreadsheet") ) diff --git a/plugins/src/lib.rs b/plugins/src/lib.rs index 3397ba5..7915dca 100644 --- a/plugins/src/lib.rs +++ b/plugins/src/lib.rs @@ -1,3 +1,4 @@ +pub mod calc; pub mod desktop_entries; pub mod find; pub mod pop_shell;