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import { PlotVuer as L1 } from "@abi-software/plotvuer";
import Js from "https://mapcore-demo.org/current/opencor-wasm/0.0.3/libopencor.js";
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xn.prototype.delete = zx;
xn.prototype.get = qx;
xn.prototype.has = Lx;
xn.prototype.set = kx;
function Vx(e, r) {
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function kc(e) {
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qo.prototype.add = qo.prototype.push = t2;
qo.prototype.has = n2;
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function Ih(e, r) {
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function Cu(e, r) {
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function X2(e, r) {
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class zh extends Error {
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function bl(e) {
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function aN(e) {
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  return t < 0 && (t += 1), t > 1 && (t -= 1), t < 1 / 6 ? e + (r - e) * (6 * t) : t < 1 / 2 ? r : t < 2 / 3 ? e + (r - e) * (2 / 3 - t) * 6 : e;
}
function kE(e, r, t) {
  var n, a, i;
  if (e = Zr(e, 360), r = Zr(r, 100), t = Zr(t, 100), r === 0)
    a = t, i = t, n = t;
  else {
    var o = t < 0.5 ? t * (1 + r) : t + r - t * r, l = 2 * t - o;
    n = au(l, o, e + 1 / 3), a = au(l, o, e), i = au(l, o, e - 1 / 3);
  }
  return { r: n * 255, g: a * 255, b: i * 255 };
}
function _f(e, r, t) {
  e = Zr(e, 255), r = Zr(r, 255), t = Zr(t, 255);
  var n = Math.max(e, r, t), a = Math.min(e, r, t), i = 0, o = n, l = n - a, u = n === 0 ? 0 : l / n;
  if (n === a)
    i = 0;
  else {
    switch (n) {
      case e:
        i = (r - t) / l + (r < t ? 6 : 0);
        break;
      case r:
        i = (t - e) / l + 2;
        break;
      case t:
        i = (e - r) / l + 4;
        break;
    }
    i /= 6;
  }
  return { h: i, s: u, v: o };
}
function VE(e, r, t) {
  e = Zr(e, 360) * 6, r = Zr(r, 100), t = Zr(t, 100);
  var n = Math.floor(e), a = e - n, i = t * (1 - r), o = t * (1 - a * r), l = t * (1 - (1 - a) * r), u = n % 6, s = [t, o, i, i, l, t][u], c = [l, t, t, o, i, i][u], f = [i, i, l, t, t, o][u];
  return { r: s * 255, g: c * 255, b: f * 255 };
}
function Ff(e, r, t, n) {
  var a = [
    sa(Math.round(e).toString(16)),
    sa(Math.round(r).toString(16)),
    sa(Math.round(t).toString(16))
  ];
  return n && a[0].startsWith(a[0].charAt(1)) && a[1].startsWith(a[1].charAt(1)) && a[2].startsWith(a[2].charAt(1)) ? a[0].charAt(0) + a[1].charAt(0) + a[2].charAt(0) : a.join("");
}
function HE(e, r, t, n, a) {
  var i = [
    sa(Math.round(e).toString(16)),
    sa(Math.round(r).toString(16)),
    sa(Math.round(t).toString(16)),
    sa(ZE(n))
  ];
  return a && i[0].startsWith(i[0].charAt(1)) && i[1].startsWith(i[1].charAt(1)) && i[2].startsWith(i[2].charAt(1)) && i[3].startsWith(i[3].charAt(1)) ? i[0].charAt(0) + i[1].charAt(0) + i[2].charAt(0) + i[3].charAt(0) : i.join("");
}
function ZE(e) {
  return Math.round(parseFloat(e) * 255).toString(16);
}
function Tf(e) {
  return gt(e) / 255;
}
function gt(e) {
  return parseInt(e, 16);
}
function GE(e) {
  return {
    r: e >> 16,
    g: (e & 65280) >> 8,
    b: e & 255
  };
}
var Bu = {
  aliceblue: "#f0f8ff",
  antiquewhite: "#faebd7",
  aqua: "#00ffff",
  aquamarine: "#7fffd4",
  azure: "#f0ffff",
  beige: "#f5f5dc",
  bisque: "#ffe4c4",
  black: "#000000",
  blanchedalmond: "#ffebcd",
  blue: "#0000ff",
  blueviolet: "#8a2be2",
  brown: "#a52a2a",
  burlywood: "#deb887",
  cadetblue: "#5f9ea0",
  chartreuse: "#7fff00",
  chocolate: "#d2691e",
  coral: "#ff7f50",
  cornflowerblue: "#6495ed",
  cornsilk: "#fff8dc",
  crimson: "#dc143c",
  cyan: "#00ffff",
  darkblue: "#00008b",
  darkcyan: "#008b8b",
  darkgoldenrod: "#b8860b",
  darkgray: "#a9a9a9",
  darkgreen: "#006400",
  darkgrey: "#a9a9a9",
  darkkhaki: "#bdb76b",
  darkmagenta: "#8b008b",
  darkolivegreen: "#556b2f",
  darkorange: "#ff8c00",
  darkorchid: "#9932cc",
  darkred: "#8b0000",
  darksalmon: "#e9967a",
  darkseagreen: "#8fbc8f",
  darkslateblue: "#483d8b",
  darkslategray: "#2f4f4f",
  darkslategrey: "#2f4f4f",
  darkturquoise: "#00ced1",
  darkviolet: "#9400d3",
  deeppink: "#ff1493",
  deepskyblue: "#00bfff",
  dimgray: "#696969",
  dimgrey: "#696969",
  dodgerblue: "#1e90ff",
  firebrick: "#b22222",
  floralwhite: "#fffaf0",
  forestgreen: "#228b22",
  fuchsia: "#ff00ff",
  gainsboro: "#dcdcdc",
  ghostwhite: "#f8f8ff",
  goldenrod: "#daa520",
  gold: "#ffd700",
  gray: "#808080",
  green: "#008000",
  greenyellow: "#adff2f",
  grey: "#808080",
  honeydew: "#f0fff0",
  hotpink: "#ff69b4",
  indianred: "#cd5c5c",
  indigo: "#4b0082",
  ivory: "#fffff0",
  khaki: "#f0e68c",
  lavenderblush: "#fff0f5",
  lavender: "#e6e6fa",
  lawngreen: "#7cfc00",
  lemonchiffon: "#fffacd",
  lightblue: "#add8e6",
  lightcoral: "#f08080",
  lightcyan: "#e0ffff",
  lightgoldenrodyellow: "#fafad2",
  lightgray: "#d3d3d3",
  lightgreen: "#90ee90",
  lightgrey: "#d3d3d3",
  lightpink: "#ffb6c1",
  lightsalmon: "#ffa07a",
  lightseagreen: "#20b2aa",
  lightskyblue: "#87cefa",
  lightslategray: "#778899",
  lightslategrey: "#778899",
  lightsteelblue: "#b0c4de",
  lightyellow: "#ffffe0",
  lime: "#00ff00",
  limegreen: "#32cd32",
  linen: "#faf0e6",
  magenta: "#ff00ff",
  maroon: "#800000",
  mediumaquamarine: "#66cdaa",
  mediumblue: "#0000cd",
  mediumorchid: "#ba55d3",
  mediumpurple: "#9370db",
  mediumseagreen: "#3cb371",
  mediumslateblue: "#7b68ee",
  mediumspringgreen: "#00fa9a",
  mediumturquoise: "#48d1cc",
  mediumvioletred: "#c71585",
  midnightblue: "#191970",
  mintcream: "#f5fffa",
  mistyrose: "#ffe4e1",
  moccasin: "#ffe4b5",
  navajowhite: "#ffdead",
  navy: "#000080",
  oldlace: "#fdf5e6",
  olive: "#808000",
  olivedrab: "#6b8e23",
  orange: "#ffa500",
  orangered: "#ff4500",
  orchid: "#da70d6",
  palegoldenrod: "#eee8aa",
  palegreen: "#98fb98",
  paleturquoise: "#afeeee",
  palevioletred: "#db7093",
  papayawhip: "#ffefd5",
  peachpuff: "#ffdab9",
  peru: "#cd853f",
  pink: "#ffc0cb",
  plum: "#dda0dd",
  powderblue: "#b0e0e6",
  purple: "#800080",
  rebeccapurple: "#663399",
  red: "#ff0000",
  rosybrown: "#bc8f8f",
  royalblue: "#4169e1",
  saddlebrown: "#8b4513",
  salmon: "#fa8072",
  sandybrown: "#f4a460",
  seagreen: "#2e8b57",
  seashell: "#fff5ee",
  sienna: "#a0522d",
  silver: "#c0c0c0",
  skyblue: "#87ceeb",
  slateblue: "#6a5acd",
  slategray: "#708090",
  slategrey: "#708090",
  snow: "#fffafa",
  springgreen: "#00ff7f",
  steelblue: "#4682b4",
  tan: "#d2b48c",
  teal: "#008080",
  thistle: "#d8bfd8",
  tomato: "#ff6347",
  turquoise: "#40e0d0",
  violet: "#ee82ee",
  wheat: "#f5deb3",
  white: "#ffffff",
  whitesmoke: "#f5f5f5",
  yellow: "#ffff00",
  yellowgreen: "#9acd32"
};
function WE(e) {
  var r = { r: 0, g: 0, b: 0 }, t = 1, n = null, a = null, i = null, o = !1, l = !1;
  return typeof e == "string" && (e = YE(e)), typeof e == "object" && (ln(e.r) && ln(e.g) && ln(e.b) ? (r = UE(e.r, e.g, e.b), o = !0, l = String(e.r).substr(-1) === "%" ? "prgb" : "rgb") : ln(e.h) && ln(e.s) && ln(e.v) ? (n = uo(e.s), a = uo(e.v), r = VE(e.h, n, a), o = !0, l = "hsv") : ln(e.h) && ln(e.s) && ln(e.l) && (n = uo(e.s), i = uo(e.l), r = kE(e.h, n, i), o = !0, l = "hsl"), Object.prototype.hasOwnProperty.call(e, "a") && (t = e.a)), t = S0(t), {
    ok: o,
    format: e.format || l,
    r: Math.min(255, Math.max(r.r, 0)),
    g: Math.min(255, Math.max(r.g, 0)),
    b: Math.min(255, Math.max(r.b, 0)),
    a: t
  };
}
var KE = "[-\\+]?\\d+%?", JE = "[-\\+]?\\d*\\.\\d+%?", Un = "(?:".concat(JE, ")|(?:").concat(KE, ")"), iu = "[\\s|\\(]+(".concat(Un, ")[,|\\s]+(").concat(Un, ")[,|\\s]+(").concat(Un, ")\\s*\\)?"), ou = "[\\s|\\(]+(".concat(Un, ")[,|\\s]+(").concat(Un, ")[,|\\s]+(").concat(Un, ")[,|\\s]+(").concat(Un, ")\\s*\\)?"), Rt = {
  CSS_UNIT: new RegExp(Un),
  rgb: new RegExp("rgb" + iu),
  rgba: new RegExp("rgba" + ou),
  hsl: new RegExp("hsl" + iu),
  hsla: new RegExp("hsla" + ou),
  hsv: new RegExp("hsv" + iu),
  hsva: new RegExp("hsva" + ou),
  hex3: /^#?([0-9a-fA-F]{1})([0-9a-fA-F]{1})([0-9a-fA-F]{1})$/,
  hex6: /^#?([0-9a-fA-F]{2})([0-9a-fA-F]{2})([0-9a-fA-F]{2})$/,
  hex4: /^#?([0-9a-fA-F]{1})([0-9a-fA-F]{1})([0-9a-fA-F]{1})([0-9a-fA-F]{1})$/,
  hex8: /^#?([0-9a-fA-F]{2})([0-9a-fA-F]{2})([0-9a-fA-F]{2})([0-9a-fA-F]{2})$/
};
function YE(e) {
  if (e = e.trim().toLowerCase(), e.length === 0)
    return !1;
  var r = !1;
  if (Bu[e])
    e = Bu[e], r = !0;
  else if (e === "transparent")
    return { r: 0, g: 0, b: 0, a: 0, format: "name" };
  var t = Rt.rgb.exec(e);
  return t ? { r: t[1], g: t[2], b: t[3] } : (t = Rt.rgba.exec(e), t ? { r: t[1], g: t[2], b: t[3], a: t[4] } : (t = Rt.hsl.exec(e), t ? { h: t[1], s: t[2], l: t[3] } : (t = Rt.hsla.exec(e), t ? { h: t[1], s: t[2], l: t[3], a: t[4] } : (t = Rt.hsv.exec(e), t ? { h: t[1], s: t[2], v: t[3] } : (t = Rt.hsva.exec(e), t ? { h: t[1], s: t[2], v: t[3], a: t[4] } : (t = Rt.hex8.exec(e), t ? {
    r: gt(t[1]),
    g: gt(t[2]),
    b: gt(t[3]),
    a: Tf(t[4]),
    format: r ? "name" : "hex8"
  } : (t = Rt.hex6.exec(e), t ? {
    r: gt(t[1]),
    g: gt(t[2]),
    b: gt(t[3]),
    format: r ? "name" : "hex"
  } : (t = Rt.hex4.exec(e), t ? {
    r: gt(t[1] + t[1]),
    g: gt(t[2] + t[2]),
    b: gt(t[3] + t[3]),
    a: Tf(t[4] + t[4]),
    format: r ? "name" : "hex8"
  } : (t = Rt.hex3.exec(e), t ? {
    r: gt(t[1] + t[1]),
    g: gt(t[2] + t[2]),
    b: gt(t[3] + t[3]),
    format: r ? "name" : "hex"
  } : !1)))))))));
}
function ln(e) {
  return !!Rt.CSS_UNIT.exec(String(e));
}
var jE = (
  /** @class */
  function() {
    function e(r, t) {
      r === void 0 && (r = ""), t === void 0 && (t = {});
      var n;
      if (r instanceof e)
        return r;
      typeof r == "number" && (r = GE(r)), this.originalInput = r;
      var a = WE(r);
      this.originalInput = r, this.r = a.r, this.g = a.g, this.b = a.b, this.a = a.a, this.roundA = Math.round(100 * this.a) / 100, this.format = (n = t.format) !== null && n !== void 0 ? n : a.format, this.gradientType = t.gradientType, this.r < 1 && (this.r = Math.round(this.r)), this.g < 1 && (this.g = Math.round(this.g)), this.b < 1 && (this.b = Math.round(this.b)), this.isValid = a.ok;
    }
    return e.prototype.isDark = function() {
      return this.getBrightness() < 128;
    }, e.prototype.isLight = function() {
      return !this.isDark();
    }, e.prototype.getBrightness = function() {
      var r = this.toRgb();
      return (r.r * 299 + r.g * 587 + r.b * 114) / 1e3;
    }, e.prototype.getLuminance = function() {
      var r = this.toRgb(), t, n, a, i = r.r / 255, o = r.g / 255, l = r.b / 255;
      return i <= 0.03928 ? t = i / 12.92 : t = Math.pow((i + 0.055) / 1.055, 2.4), o <= 0.03928 ? n = o / 12.92 : n = Math.pow((o + 0.055) / 1.055, 2.4), l <= 0.03928 ? a = l / 12.92 : a = Math.pow((l + 0.055) / 1.055, 2.4), 0.2126 * t + 0.7152 * n + 0.0722 * a;
    }, e.prototype.getAlpha = function() {
      return this.a;
    }, e.prototype.setAlpha = function(r) {
      return this.a = S0(r), this.roundA = Math.round(100 * this.a) / 100, this;
    }, e.prototype.isMonochrome = function() {
      var r = this.toHsl().s;
      return r === 0;
    }, e.prototype.toHsv = function() {
      var r = _f(this.r, this.g, this.b);
      return { h: r.h * 360, s: r.s, v: r.v, a: this.a };
    }, e.prototype.toHsvString = function() {
      var r = _f(this.r, this.g, this.b), t = Math.round(r.h * 360), n = Math.round(r.s * 100), a = Math.round(r.v * 100);
      return this.a === 1 ? "hsv(".concat(t, ", ").concat(n, "%, ").concat(a, "%)") : "hsva(".concat(t, ", ").concat(n, "%, ").concat(a, "%, ").concat(this.roundA, ")");
    }, e.prototype.toHsl = function() {
      var r = Mf(this.r, this.g, this.b);
      return { h: r.h * 360, s: r.s, l: r.l, a: this.a };
    }, e.prototype.toHslString = function() {
      var r = Mf(this.r, this.g, this.b), t = Math.round(r.h * 360), n = Math.round(r.s * 100), a = Math.round(r.l * 100);
      return this.a === 1 ? "hsl(".concat(t, ", ").concat(n, "%, ").concat(a, "%)") : "hsla(".concat(t, ", ").concat(n, "%, ").concat(a, "%, ").concat(this.roundA, ")");
    }, e.prototype.toHex = function(r) {
      return r === void 0 && (r = !1), Ff(this.r, this.g, this.b, r);
    }, e.prototype.toHexString = function(r) {
      return r === void 0 && (r = !1), "#" + this.toHex(r);
    }, e.prototype.toHex8 = function(r) {
      return r === void 0 && (r = !1), HE(this.r, this.g, this.b, this.a, r);
    }, e.prototype.toHex8String = function(r) {
      return r === void 0 && (r = !1), "#" + this.toHex8(r);
    }, e.prototype.toHexShortString = function(r) {
      return r === void 0 && (r = !1), this.a === 1 ? this.toHexString(r) : this.toHex8String(r);
    }, e.prototype.toRgb = function() {
      return {
        r: Math.round(this.r),
        g: Math.round(this.g),
        b: Math.round(this.b),
        a: this.a
      };
    }, e.prototype.toRgbString = function() {
      var r = Math.round(this.r), t = Math.round(this.g), n = Math.round(this.b);
      return this.a === 1 ? "rgb(".concat(r, ", ").concat(t, ", ").concat(n, ")") : "rgba(".concat(r, ", ").concat(t, ", ").concat(n, ", ").concat(this.roundA, ")");
    }, e.prototype.toPercentageRgb = function() {
      var r = function(t) {
        return "".concat(Math.round(Zr(t, 255) * 100), "%");
      };
      return {
        r: r(this.r),
        g: r(this.g),
        b: r(this.b),
        a: this.a
      };
    }, e.prototype.toPercentageRgbString = function() {
      var r = function(t) {
        return Math.round(Zr(t, 255) * 100);
      };
      return this.a === 1 ? "rgb(".concat(r(this.r), "%, ").concat(r(this.g), "%, ").concat(r(this.b), "%)") : "rgba(".concat(r(this.r), "%, ").concat(r(this.g), "%, ").concat(r(this.b), "%, ").concat(this.roundA, ")");
    }, e.prototype.toName = function() {
      if (this.a === 0)
        return "transparent";
      if (this.a < 1)
        return !1;
      for (var r = "#" + Ff(this.r, this.g, this.b, !1), t = 0, n = Object.entries(Bu); t < n.length; t++) {
        var a = n[t], i = a[0], o = a[1];
        if (r === o)
          return i;
      }
      return !1;
    }, e.prototype.toString = function(r) {
      var t = !!r;
      r = r ?? this.format;
      var n = !1, a = this.a < 1 && this.a >= 0, i = !t && a && (r.startsWith("hex") || r === "name");
      return i ? r === "name" && this.a === 0 ? this.toName() : this.toRgbString() : (r === "rgb" && (n = this.toRgbString()), r === "prgb" && (n = this.toPercentageRgbString()), (r === "hex" || r === "hex6") && (n = this.toHexString()), r === "hex3" && (n = this.toHexString(!0)), r === "hex4" && (n = this.toHex8String(!0)), r === "hex8" && (n = this.toHex8String()), r === "name" && (n = this.toName()), r === "hsl" && (n = this.toHslString()), r === "hsv" && (n = this.toHsvString()), n || this.toHexString());
    }, e.prototype.toNumber = function() {
      return (Math.round(this.r) << 16) + (Math.round(this.g) << 8) + Math.round(this.b);
    }, e.prototype.clone = function() {
      return new e(this.toString());
    }, e.prototype.lighten = function(r) {
      r === void 0 && (r = 10);
      var t = this.toHsl();
      return t.l += r / 100, t.l = so(t.l), new e(t);
    }, e.prototype.brighten = function(r) {
      r === void 0 && (r = 10);
      var t = this.toRgb();
      return t.r = Math.max(0, Math.min(255, t.r - Math.round(255 * -(r / 100)))), t.g = Math.max(0, Math.min(255, t.g - Math.round(255 * -(r / 100)))), t.b = Math.max(0, Math.min(255, t.b - Math.round(255 * -(r / 100)))), new e(t);
    }, e.prototype.darken = function(r) {
      r === void 0 && (r = 10);
      var t = this.toHsl();
      return t.l -= r / 100, t.l = so(t.l), new e(t);
    }, e.prototype.tint = function(r) {
      return r === void 0 && (r = 10), this.mix("white", r);
    }, e.prototype.shade = function(r) {
      return r === void 0 && (r = 10), this.mix("black", r);
    }, e.prototype.desaturate = function(r) {
      r === void 0 && (r = 10);
      var t = this.toHsl();
      return t.s -= r / 100, t.s = so(t.s), new e(t);
    }, e.prototype.saturate = function(r) {
      r === void 0 && (r = 10);
      var t = this.toHsl();
      return t.s += r / 100, t.s = so(t.s), new e(t);
    }, e.prototype.greyscale = function() {
      return this.desaturate(100);
    }, e.prototype.spin = function(r) {
      var t = this.toHsl(), n = (t.h + r) % 360;
      return t.h = n < 0 ? 360 + n : n, new e(t);
    }, e.prototype.mix = function(r, t) {
      t === void 0 && (t = 50);
      var n = this.toRgb(), a = new e(r).toRgb(), i = t / 100, o = {
        r: (a.r - n.r) * i + n.r,
        g: (a.g - n.g) * i + n.g,
        b: (a.b - n.b) * i + n.b,
        a: (a.a - n.a) * i + n.a
      };
      return new e(o);
    }, e.prototype.analogous = function(r, t) {
      r === void 0 && (r = 6), t === void 0 && (t = 30);
      var n = this.toHsl(), a = 360 / t, i = [this];
      for (n.h = (n.h - (a * r >> 1) + 720) % 360; --r; )
        n.h = (n.h + a) % 360, i.push(new e(n));
      return i;
    }, e.prototype.complement = function() {
      var r = this.toHsl();
      return r.h = (r.h + 180) % 360, new e(r);
    }, e.prototype.monochromatic = function(r) {
      r === void 0 && (r = 6);
      for (var t = this.toHsv(), n = t.h, a = t.s, i = t.v, o = [], l = 1 / r; r--; )
        o.push(new e({ h: n, s: a, v: i })), i = (i + l) % 1;
      return o;
    }, e.prototype.splitcomplement = function() {
      var r = this.toHsl(), t = r.h;
      return [
        this,
        new e({ h: (t + 72) % 360, s: r.s, l: r.l }),
        new e({ h: (t + 216) % 360, s: r.s, l: r.l })
      ];
    }, e.prototype.onBackground = function(r) {
      var t = this.toRgb(), n = new e(r).toRgb(), a = t.a + n.a * (1 - t.a);
      return new e({
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  defaultFirstOption: Boolean,
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    type: Boolean,
    default: !0
  },
  valueKey: {
    type: String,
    default: "value"
  },
  collapseTags: Boolean,
  collapseTagsTooltip: Boolean,
  maxCollapseTags: {
    type: Number,
    default: 1
  },
  teleported: Ol.teleported,
  persistent: {
    type: Boolean,
    default: !0
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  clearIcon: {
    type: Ha,
    default: pl
  },
  fitInputWidth: Boolean,
  suffixIcon: {
    type: Ha,
    default: Lh
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  tagType: { ...$u.type, default: "info" },
  tagEffect: { ...$u.effect, default: "light" },
  validateEvent: {
    type: Boolean,
    default: !0
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  remoteShowSuffix: Boolean,
  placement: {
    type: rr(String),
    values: oi,
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  fallbackPlacements: {
    type: rr(Array),
    default: ["bottom-start", "top-start", "right", "left"]
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  appendTo: String,
  ...XN,
  ...wa(["ariaLabel"])
}), $f = "ElSelect", BS = Re({
  name: $f,
  componentName: $f,
  components: {
    ElSelectMenu: MS,
    ElOption: $l,
    ElOptions: TS,
    ElTag: pS,
    ElScrollbar: FD,
    ElTooltip: D0,
    ElIcon: Ct
  },
  directives: { ClickOutside: oS },
  props: OS,
  emits: [
    Or,
    ii,
    "remove-tag",
    "clear",
    "visible-change",
    "focus",
    "blur"
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  setup(e, { emit: r }) {
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      ...ma(e),
      modelValue: t
    }), a = FS(n, r);
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      props: n,
      states: a.states,
      optionsArray: a.optionsArray,
      handleOptionSelect: a.handleOptionSelect,
      onOptionCreate: a.onOptionCreate,
      onOptionDestroy: a.onOptionDestroy,
      selectRef: a.selectRef,
      setSelected: a.setSelected
    })), {
      ...a,
      modelValue: t
    };
  }
});
function $S(e, r, t, n, a, i) {
  const o = $n("el-tag"), l = $n("el-tooltip"), u = $n("el-icon"), s = $n("el-option"), c = $n("el-options"), f = $n("el-scrollbar"), d = $n("el-select-menu"), p = R1("click-outside");
  return at((he(), Ce("div", {
    ref: "selectRef",
    class: _e([e.nsSelect.b(), e.nsSelect.m(e.selectSize)]),
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    onMouseleave: (m) => e.states.inputHovering = !1
  }, [
    mr(l, {
      ref: "tooltipRef",
      visible: e.dropdownMenuVisible,
      placement: e.placement,
      teleported: e.teleported,
      "popper-class": [e.nsSelect.e("popper"), e.popperClass],
      "popper-options": e.popperOptions,
      "fallback-placements": e.fallbackPlacements,
      effect: e.effect,
      pure: "",
      trigger: "click",
      transition: `${e.nsSelect.namespace.value}-zoom-in-top`,
      "stop-popper-mouse-event": !1,
      "gpu-acceleration": !1,
      persistent: e.persistent,
      "append-to": e.appendTo,
      onBeforeShow: e.handleMenuEnter,
      onHide: (m) => e.states.isBeforeHide = !1
    }, {
      default: Ve(() => {
        var m;
        return [
          $e("div", {
            ref: "wrapperRef",
            class: _e([
              e.nsSelect.e("wrapper"),
              e.nsSelect.is("focused", e.isFocused),
              e.nsSelect.is("hovering", e.states.inputHovering),
              e.nsSelect.is("filterable", e.filterable),
              e.nsSelect.is("disabled", e.selectDisabled)
            ]),
            onClick: kr(e.toggleMenu, ["prevent"])
          }, [
            e.$slots.prefix ? (he(), Ce("div", {
              key: 0,
              ref: "prefixRef",
              class: _e(e.nsSelect.e("prefix"))
            }, [
              Xe(e.$slots, "prefix")
            ], 2)) : Be("v-if", !0),
            $e("div", {
              ref: "selectionRef",
              class: _e([
                e.nsSelect.e("selection"),
                e.nsSelect.is("near", e.multiple && !e.$slots.prefix && !!e.states.selected.length)
              ])
            }, [
              e.multiple ? Xe(e.$slots, "tag", { key: 0 }, () => [
                (he(!0), Ce(nt, null, Gn(e.showTagList, (v) => (he(), Ce("div", {
                  key: e.getValueKey(v),
                  class: _e(e.nsSelect.e("selected-item"))
                }, [
                  mr(o, {
                    closable: !e.selectDisabled && !v.isDisabled,
                    size: e.collapseTagSize,
                    type: e.tagType,
                    effect: e.tagEffect,
                    "disable-transitions": "",
                    style: Lr(e.tagStyle),
                    onClose: (b) => e.deleteTag(b, v)
                  }, {
                    default: Ve(() => [
                      $e("span", {
                        class: _e(e.nsSelect.e("tags-text"))
                      }, [
                        Xe(e.$slots, "label", {
                          label: v.currentLabel,
                          value: v.value
                        }, () => [
                          dn(qr(v.currentLabel), 1)
                        ])
                      ], 2)
                    ]),
                    _: 2
                  }, 1032, ["closable", "size", "type", "effect", "style", "onClose"])
                ], 2))), 128)),
                e.collapseTags && e.states.selected.length > e.maxCollapseTags ? (he(), He(l, {
                  key: 0,
                  ref: "tagTooltipRef",
                  disabled: e.dropdownMenuVisible || !e.collapseTagsTooltip,
                  "fallback-placements": ["bottom", "top", "right", "left"],
                  effect: e.effect,
                  placement: "bottom",
                  teleported: e.teleported
                }, {
                  default: Ve(() => [
                    $e("div", {
                      ref: "collapseItemRef",
                      class: _e(e.nsSelect.e("selected-item"))
                    }, [
                      mr(o, {
                        closable: !1,
                        size: e.collapseTagSize,
                        type: e.tagType,
                        effect: e.tagEffect,
                        "disable-transitions": "",
                        style: Lr(e.collapseTagStyle)
                      }, {
                        default: Ve(() => [
                          $e("span", {
                            class: _e(e.nsSelect.e("tags-text"))
                          }, " + " + qr(e.states.selected.length - e.maxCollapseTags), 3)
                        ]),
                        _: 1
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                    ], 2)
                  ]),
                  content: Ve(() => [
                    $e("div", {
                      ref: "tagMenuRef",
                      class: _e(e.nsSelect.e("selection"))
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                      (he(!0), Ce(nt, null, Gn(e.collapseTagList, (v) => (he(), Ce("div", {
                        key: e.getValueKey(v),
                        class: _e(e.nsSelect.e("selected-item"))
                      }, [
                        mr(o, {
                          class: "in-tooltip",
                          closable: !e.selectDisabled && !v.isDisabled,
                          size: e.collapseTagSize,
                          type: e.tagType,
                          effect: e.tagEffect,
                          "disable-transitions": "",
                          onClose: (b) => e.deleteTag(b, v)
                        }, {
                          default: Ve(() => [
                            $e("span", {
                              class: _e(e.nsSelect.e("tags-text"))
                            }, [
                              Xe(e.$slots, "label", {
                                label: v.currentLabel,
                                value: v.value
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                                dn(qr(v.currentLabel), 1)
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                            ], 2)
                          ]),
                          _: 2
                        }, 1032, ["closable", "size", "type", "effect", "onClose"])
                      ], 2))), 128))
                    ], 2)
                  ]),
                  _: 3
                }, 8, ["disabled", "effect", "teleported"])) : Be("v-if", !0)
              ]) : Be("v-if", !0),
              e.selectDisabled ? Be("v-if", !0) : (he(), Ce("div", {
                key: 1,
                class: _e([
                  e.nsSelect.e("selected-item"),
                  e.nsSelect.e("input-wrapper"),
                  e.nsSelect.is("hidden", !e.filterable)
                ])
              }, [
                at($e("input", {
                  id: e.inputId,
                  ref: "inputRef",
                  "onUpdate:modelValue": (v) => e.states.inputValue = v,
                  type: "text",
                  name: e.name,
                  class: _e([e.nsSelect.e("input"), e.nsSelect.is(e.selectSize)]),
                  disabled: e.selectDisabled,
                  autocomplete: e.autocomplete,
                  style: Lr(e.inputStyle),
                  role: "combobox",
                  readonly: !e.filterable,
                  spellcheck: "false",
                  "aria-activedescendant": ((m = e.hoverOption) == null ? void 0 : m.id) || "",
                  "aria-controls": e.contentId,
                  "aria-expanded": e.dropdownMenuVisible,
                  "aria-label": e.ariaLabel,
                  "aria-autocomplete": "none",
                  "aria-haspopup": "listbox",
                  onKeydown: [
                    vn(kr((v) => e.navigateOptions("next"), ["stop", "prevent"]), ["down"]),
                    vn(kr((v) => e.navigateOptions("prev"), ["stop", "prevent"]), ["up"]),
                    vn(kr(e.handleEsc, ["stop", "prevent"]), ["esc"]),
                    vn(kr(e.selectOption, ["stop", "prevent"]), ["enter"]),
                    vn(kr(e.deletePrevTag, ["stop"]), ["delete"])
                  ],
                  onCompositionstart: e.handleCompositionStart,
                  onCompositionupdate: e.handleCompositionUpdate,
                  onCompositionend: e.handleCompositionEnd,
                  onInput: e.onInput,
                  onClick: kr(e.toggleMenu, ["stop"])
                }, null, 46, ["id", "onUpdate:modelValue", "name", "disabled", "autocomplete", "readonly", "aria-activedescendant", "aria-controls", "aria-expanded", "aria-label", "onKeydown", "onCompositionstart", "onCompositionupdate", "onCompositionend", "onInput", "onClick"]), [
                  [z1, e.states.inputValue]
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                e.filterable ? (he(), Ce("span", {
                  key: 0,
                  ref: "calculatorRef",
                  "aria-hidden": "true",
                  class: _e(e.nsSelect.e("input-calculator")),
                  textContent: qr(e.states.inputValue)
                }, null, 10, ["textContent"])) : Be("v-if", !0)
              ], 2)),
              e.shouldShowPlaceholder ? (he(), Ce("div", {
                key: 2,
                class: _e([
                  e.nsSelect.e("selected-item"),
                  e.nsSelect.e("placeholder"),
                  e.nsSelect.is("transparent", !e.hasModelValue || e.expanded && !e.states.inputValue)
                ])
              }, [
                e.hasModelValue ? Xe(e.$slots, "label", {
                  key: 0,
                  label: e.currentPlaceholder,
                  value: e.modelValue
                }, () => [
                  $e("span", null, qr(e.currentPlaceholder), 1)
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              ], 2)) : Be("v-if", !0)
            ], 2),
            $e("div", {
              ref: "suffixRef",
              class: _e(e.nsSelect.e("suffix"))
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              e.iconComponent && !e.showClose ? (he(), He(u, {
                key: 0,
                class: _e([e.nsSelect.e("caret"), e.nsSelect.e("icon"), e.iconReverse])
              }, {
                default: Ve(() => [
                  (he(), He(Lt(e.iconComponent)))
                ]),
                _: 1
              }, 8, ["class"])) : Be("v-if", !0),
              e.showClose && e.clearIcon ? (he(), He(u, {
                key: 1,
                class: _e([
                  e.nsSelect.e("caret"),
                  e.nsSelect.e("icon"),
                  e.nsSelect.e("clear")
                ]),
                onClick: e.handleClearClick
              }, {
                default: Ve(() => [
                  (he(), He(Lt(e.clearIcon)))
                ]),
                _: 1
              }, 8, ["class", "onClick"])) : Be("v-if", !0),
              e.validateState && e.validateIcon ? (he(), He(u, {
                key: 2,
                class: _e([e.nsInput.e("icon"), e.nsInput.e("validateIcon")])
              }, {
                default: Ve(() => [
                  (he(), He(Lt(e.validateIcon)))
                ]),
                _: 1
              }, 8, ["class"])) : Be("v-if", !0)
            ], 2)
          ], 10, ["onClick"])
        ];
      }),
      content: Ve(() => [
        mr(d, { ref: "menuRef" }, {
          default: Ve(() => [
            e.$slots.header ? (he(), Ce("div", {
              key: 0,
              class: _e(e.nsSelect.be("dropdown", "header")),
              onClick: kr(() => {
              }, ["stop"])
            }, [
              Xe(e.$slots, "header")
            ], 10, ["onClick"])) : Be("v-if", !0),
            at(mr(f, {
              id: e.contentId,
              ref: "scrollbarRef",
              tag: "ul",
              "wrap-class": e.nsSelect.be("dropdown", "wrap"),
              "view-class": e.nsSelect.be("dropdown", "list"),
              class: _e([e.nsSelect.is("empty", e.filteredOptionsCount === 0)]),
              role: "listbox",
              "aria-label": e.ariaLabel,
              "aria-orientation": "vertical"
            }, {
              default: Ve(() => [
                e.showNewOption ? (he(), He(s, {
                  key: 0,
                  value: e.states.inputValue,
                  created: !0
                }, null, 8, ["value"])) : Be("v-if", !0),
                mr(c, null, {
                  default: Ve(() => [
                    Xe(e.$slots, "default")
                  ]),
                  _: 3
                })
              ]),
              _: 3
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              [Nn, e.states.options.size > 0 && !e.loading]
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            e.$slots.loading && e.loading ? (he(), Ce("div", {
              key: 1,
              class: _e(e.nsSelect.be("dropdown", "loading"))
            }, [
              Xe(e.$slots, "loading")
            ], 2)) : e.loading || e.filteredOptionsCount === 0 ? (he(), Ce("div", {
              key: 2,
              class: _e(e.nsSelect.be("dropdown", "empty"))
            }, [
              Xe(e.$slots, "empty", {}, () => [
                $e("span", null, qr(e.emptyText), 1)
              ])
            ], 2)) : Be("v-if", !0),
            e.$slots.footer ? (he(), Ce("div", {
              key: 3,
              class: _e(e.nsSelect.be("dropdown", "footer")),
              onClick: kr(() => {
              }, ["stop"])
            }, [
              Xe(e.$slots, "footer")
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          ]),
          _: 3
        }, 512)
      ]),
      _: 3
    }, 8, ["visible", "placement", "teleported", "popper-class", "popper-options", "fallback-placements", "effect", "transition", "persistent", "append-to", "onBeforeShow", "onHide"])
  ], 16, ["onMouseleave"])), [
    [p, e.handleClickOutside, e.popperRef]
  ]);
}
var IS = /* @__PURE__ */ Sr(BS, [["render", $S], ["__file", "select.vue"]]);
const RS = Re({
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const $0 = Symbol("sliderContextKey"), zS = Er({
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}
function CC(e, r, t) {
  var n = r.filter((i) => !MC(i)).every((i) => t[i] !== void 0);
  if (!n) {
    var a = r.filter((i) => t[i] === void 0);
    throw new Error('Cannot create function "'.concat(e, '", ') + "some dependencies are missing: ".concat(a.map((i) => '"'.concat(i, '"')).join(", "), "."));
  }
}
function MC(e) {
  return e && e[0] === "?";
}
function tg(e) {
  return e && e[0] === "?" ? e.slice(1) : e;
}
function Oe(e) {
  return typeof e == "boolean" ? !0 : isFinite(e) ? e === Math.round(e) : !1;
}
function _C(e) {
  return /^-?\d+$/.test(e);
}
function Qn(e, r) {
  return r.number === "bigint" && !_C(e) ? r.numberFallback : r.number;
}
var Vn = Math.sign || function(e) {
  return e > 0 ? 1 : e < 0 ? -1 : 0;
}, FC = Math.log2 || function(r) {
  return Math.log(r) / Math.LN2;
}, TC = Math.log10 || function(r) {
  return Math.log(r) / Math.LN10;
}, OC = Math.log1p || function(e) {
  return Math.log(e + 1);
}, BC = Math.cbrt || function(r) {
  if (r === 0)
    return r;
  var t = r < 0, n;
  return t && (r = -r), isFinite(r) ? (n = Math.exp(Math.log(r) / 3), n = (r / (n * n) + 2 * n) / 3) : n = r, t ? -n : n;
}, $C = Math.expm1 || function(r) {
  return r >= 2e-4 || r <= -2e-4 ? Math.exp(r) - 1 : r + r * r / 2 + r * r * r / 6;
};
function uu(e, r, t) {
  var n = {
    2: "0b",
    8: "0o",
    16: "0x"
  }, a = n[r], i = "";
  if (t) {
    if (t < 1)
      throw new Error("size must be in greater than 0");
    if (!Oe(t))
      throw new Error("size must be an integer");
    if (e > 2 ** (t - 1) - 1 || e < -(2 ** (t - 1)))
      throw new Error("Value must be in range [-2^".concat(t - 1, ", 2^").concat(t - 1, "-1]"));
    if (!Oe(e))
      throw new Error("Value must be an integer");
    e < 0 && (e = e + 2 ** t), i = "i".concat(t);
  }
  var o = "";
  return e < 0 && (e = -e, o = "-"), "".concat(o).concat(a).concat(e.toString(r)).concat(i);
}
function pa(e, r) {
  if (typeof r == "function")
    return r(e);
  if (e === 1 / 0)
    return "Infinity";
  if (e === -1 / 0)
    return "-Infinity";
  if (isNaN(e))
    return "NaN";
  var {
    notation: t,
    precision: n,
    wordSize: a
  } = ng(r);
  switch (t) {
    case "fixed":
      return ag(e, n);
    case "exponential":
      return ig(e, n);
    case "engineering":
      return IC(e, n);
    case "bin":
      return uu(e, 2, a);
    case "oct":
      return uu(e, 8, a);
    case "hex":
      return uu(e, 16, a);
    case "auto":
      return RC(e, n, r).replace(/((\.\d*?)(0+))($|e)/, function() {
        var i = arguments[2], o = arguments[4];
        return i !== "." ? i + o : o;
      });
    default:
      throw new Error('Unknown notation "' + t + '". Choose "auto", "exponential", "fixed", "bin", "oct", or "hex.');
  }
}
function ng(e) {
  var r = "auto", t, n;
  if (e !== void 0)
    if (We(e))
      t = e;
    else if (Ze(e))
      t = e.toNumber();
    else if (ui(e))
      e.precision !== void 0 && (t = Vf(e.precision, () => {
        throw new Error('Option "precision" must be a number or BigNumber');
      })), e.wordSize !== void 0 && (n = Vf(e.wordSize, () => {
        throw new Error('Option "wordSize" must be a number or BigNumber');
      })), e.notation && (r = e.notation);
    else
      throw new Error("Unsupported type of options, number, BigNumber, or object expected");
  return {
    notation: r,
    precision: t,
    wordSize: n
  };
}
function Ki(e) {
  var r = String(e).toLowerCase().match(/^(-?)(\d+\.?\d*)(e([+-]?\d+))?$/);
  if (!r)
    throw new SyntaxError("Invalid number " + e);
  var t = r[1], n = r[2], a = parseFloat(r[4] || "0"), i = n.indexOf(".");
  a += i !== -1 ? i - 1 : n.length - 1;
  var o = n.replace(".", "").replace(/^0*/, function(l) {
    return a -= l.length, "";
  }).replace(/0*$/, "").split("").map(function(l) {
    return parseInt(l);
  });
  return o.length === 0 && (o.push(0), a++), {
    sign: t,
    coefficients: o,
    exponent: a
  };
}
function IC(e, r) {
  if (isNaN(e) || !isFinite(e))
    return String(e);
  var t = Ki(e), n = _s(t, r), a = n.exponent, i = n.coefficients, o = a % 3 === 0 ? a : a < 0 ? a - 3 - a % 3 : a - a % 3;
  if (We(r))
    for (; r > i.length || a - o + 1 > i.length; )
      i.push(0);
  else
    for (var l = Math.abs(a - o) - (i.length - 1), u = 0; u < l; u++)
      i.push(0);
  for (var s = Math.abs(a - o), c = 1; s > 0; )
    c++, s--;
  var f = i.slice(c).join(""), d = We(r) && f.length || f.match(/[1-9]/) ? "." + f : "", p = i.slice(0, c).join("") + d + "e" + (a >= 0 ? "+" : "") + o.toString();
  return n.sign + p;
}
function ag(e, r) {
  if (isNaN(e) || !isFinite(e))
    return String(e);
  var t = Ki(e), n = typeof r == "number" ? _s(t, t.exponent + 1 + r) : t, a = n.coefficients, i = n.exponent + 1, o = i + (r || 0);
  return a.length < o && (a = a.concat(Ua(o - a.length))), i < 0 && (a = Ua(-i + 1).concat(a), i = 1), i < a.length && a.splice(i, 0, i === 0 ? "0." : "."), n.sign + a.join("");
}
function ig(e, r) {
  if (isNaN(e) || !isFinite(e))
    return String(e);
  var t = Ki(e), n = r ? _s(t, r) : t, a = n.coefficients, i = n.exponent;
  a.length < r && (a = a.concat(Ua(r - a.length)));
  var o = a.shift();
  return n.sign + o + (a.length > 0 ? "." + a.join("") : "") + "e" + (i >= 0 ? "+" : "") + i;
}
function RC(e, r, t) {
  if (isNaN(e) || !isFinite(e))
    return String(e);
  var n = Hf(t == null ? void 0 : t.lowerExp, -3), a = Hf(t == null ? void 0 : t.upperExp, 5), i = Ki(e), o = r ? _s(i, r) : i;
  if (o.exponent < n || o.exponent >= a)
    return ig(e, r);
  var l = o.coefficients, u = o.exponent;
  l.length < r && (l = l.concat(Ua(r - l.length))), l = l.concat(Ua(u - l.length + 1 + (l.length < r ? r - l.length : 0))), l = Ua(-u).concat(l);
  var s = u > 0 ? u : 0;
  return s < l.length - 1 && l.splice(s + 1, 0, "."), o.sign + l.join("");
}
function _s(e, r) {
  for (var t = {
    sign: e.sign,
    coefficients: e.coefficients,
    exponent: e.exponent
  }, n = t.coefficients; r <= 0; )
    n.unshift(0), t.exponent++, r++;
  if (n.length > r) {
    var a = n.splice(r, n.length - r);
    if (a[0] >= 5) {
      var i = r - 1;
      for (n[i]++; n[i] === 10; )
        n.pop(), i === 0 && (n.unshift(0), t.exponent++, i++), i--, n[i]++;
    }
  }
  return t;
}
function Ua(e) {
  for (var r = [], t = 0; t < e; t++)
    r.push(0);
  return r;
}
function PC(e) {
  return e.toExponential().replace(/e.*$/, "").replace(/^0\.?0*|\./, "").length;
}
function Gr(e, r) {
  var t = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : 1e-8, n = arguments.length > 3 && arguments[3] !== void 0 ? arguments[3] : 0;
  if (t <= 0)
    throw new Error("Relative tolerance must be greater than 0");
  if (n < 0)
    throw new Error("Absolute tolerance must be at least 0");
  return isNaN(e) || isNaN(r) ? !1 : !isFinite(e) || !isFinite(r) ? e === r : e === r ? !0 : Math.abs(e - r) <= Math.max(t * Math.max(Math.abs(e), Math.abs(r)), n);
}
var zC = Math.acosh || function(e) {
  return Math.log(Math.sqrt(e * e - 1) + e);
}, qC = Math.asinh || function(e) {
  return Math.log(Math.sqrt(e * e + 1) + e);
}, LC = Math.atanh || function(e) {
  return Math.log((1 + e) / (1 - e)) / 2;
}, UC = Math.cosh || function(e) {
  return (Math.exp(e) + Math.exp(-e)) / 2;
}, kC = Math.sinh || function(e) {
  return (Math.exp(e) - Math.exp(-e)) / 2;
}, VC = Math.tanh || function(e) {
  var r = Math.exp(2 * e);
  return (r - 1) / (r + 1);
};
function HC(e, r) {
  var t = !0, n = r > 0 ? !0 : r < 0 ? !1 : 1 / r === 1 / 0;
  return t ^ n ? -e : e;
}
function Vf(e, r) {
  if (We(e))
    return e;
  if (Ze(e))
    return e.toNumber();
  r();
}
function Hf(e, r) {
  return We(e) ? e : Ze(e) ? e.toNumber() : r;
}
var og = function() {
  return og = Pi.create, Pi;
}, ZC = ["?BigNumber", "?Complex", "?DenseMatrix", "?Fraction"], GC = /* @__PURE__ */ P("typed", ZC, function(r) {
  var {
    BigNumber: t,
    Complex: n,
    DenseMatrix: a,
    Fraction: i
  } = r, o = og();
  return o.clear(), o.addTypes([
    {
      name: "number",
      test: We
    },
    {
      name: "Complex",
      test: Ut
    },
    {
      name: "BigNumber",
      test: Ze
    },
    {
      name: "bigint",
      test: q0
    },
    {
      name: "Fraction",
      test: Aa
    },
    {
      name: "Unit",
      test: ft
    },
    // The following type matches a valid variable name, i.e., an alphanumeric
    // string starting with an alphabetic character. It is used (at least)
    // in the definition of the derivative() function, as the argument telling
    // what to differentiate over must (currently) be a variable.
    // TODO: deprecate the identifier type (it's not used anymore, see https://github.com/josdejong/mathjs/issues/3253)
    {
      name: "identifier",
      test: (l) => Vr && 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    },
    {
      name: "string",
      test: Vr
    },
    {
      name: "Chain",
      test: Pl
    },
    {
      name: "Array",
      test: cr
    },
    {
      name: "Matrix",
      test: ze
    },
    {
      name: "DenseMatrix",
      test: Ri
    },
    {
      name: "SparseMatrix",
      test: kn
    },
    {
      name: "Range",
      test: Ms
    },
    {
      name: "Index",
      test: Gi
    },
    {
      name: "boolean",
      test: L0
    },
    {
      name: "ResultSet",
      test: U0
    },
    {
      name: "Help",
      test: Rl
    },
    {
      name: "function",
      test: k0
    },
    {
      name: "Date",
      test: V0
    },
    {
      name: "RegExp",
      test: H0
    },
    {
      name: "null",
      test: Z0
    },
    {
      name: "undefined",
      test: G0
    },
    {
      name: "AccessorNode",
      test: Jn
    },
    {
      name: "ArrayNode",
      test: bt
    },
    {
      name: "AssignmentNode",
      test: W0
    },
    {
      name: "BlockNode",
      test: K0
    },
    {
      name: "ConditionalNode",
      test: J0
    },
    {
      name: "ConstantNode",
      test: nr
    },
    {
      name: "FunctionNode",
      test: En
    },
    {
      name: "FunctionAssignmentNode",
      test: li
    },
    {
      name: "IndexNode",
      test: Na
    },
    {
      name: "Node",
      test: fr
    },
    {
      name: "ObjectNode",
      test: Wi
    },
    {
      name: "OperatorNode",
      test: _r
    },
    {
      name: "ParenthesisNode",
      test: rn
    },
    {
      name: "RangeNode",
      test: Y0
    },
    {
      name: "RelationalNode",
      test: j0
    },
    {
      name: "SymbolNode",
      test: $r
    },
    {
      name: "Map",
      test: da
    },
    {
      name: "Object",
      test: ui
    }
    // order 'Object' last, it matches on other classes too
  ]), o.addConversions([{
    from: "number",
    to: "BigNumber",
    convert: function(u) {
      if (t || co(u), PC(u) > 15)
        throw new TypeError("Cannot implicitly convert a number with >15 significant digits to BigNumber (value: " + u + "). Use function bignumber(x) to convert to BigNumber.");
      return new t(u);
    }
  }, {
    from: "number",
    to: "Complex",
    convert: function(u) {
      return n || fo(u), new n(u, 0);
    }
  }, {
    from: "BigNumber",
    to: "Complex",
    convert: function(u) {
      return n || fo(u), new n(u.toNumber(), 0);
    }
  }, {
    from: "bigint",
    to: "number",
    convert: function(u) {
      if (u > Number.MAX_SAFE_INTEGER)
        throw new TypeError("Cannot implicitly convert bigint to number: value exceeds the max safe integer value (value: " + u + ")");
      return Number(u);
    }
  }, {
    from: "bigint",
    to: "BigNumber",
    convert: function(u) {
      return t || co(u), new t(u.toString());
    }
  }, {
    from: "bigint",
    to: "Fraction",
    convert: function(u) {
      return i || po(u), new i(u.toString());
    }
  }, {
    from: "Fraction",
    to: "BigNumber",
    convert: function(u) {
      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(u) {
      return n || fo(u), new n(u.valueOf(), 0);
    }
  }, {
    from: "number",
    to: "Fraction",
    convert: function(u) {
      i || po(u);
      var s = new i(u);
      if (s.valueOf() !== u)
        throw new TypeError("Cannot implicitly convert a number to a Fraction when there will be a loss of precision (value: " + u + "). Use function fraction(x) to convert to Fraction.");
      return s;
    }
  }, {
    // FIXME: add conversion from Fraction to number, for example for `sqrt(fraction(1,3))`
    //  from: 'Fraction',
    //  to: 'number',
    //  convert: function (x) {
    //    return x.valueOf()
    //  }
    // }, {
    from: "string",
    to: "number",
    convert: function(u) {
      var s = Number(u);
      if (isNaN(s))
        throw new Error('Cannot convert "' + u + '" to a number');
      return s;
    }
  }, {
    from: "string",
    to: "BigNumber",
    convert: function(u) {
      t || co(u);
      try {
        return new t(u);
      } catch {
        throw new Error('Cannot convert "' + u + '" to BigNumber');
      }
    }
  }, {
    from: "string",
    to: "bigint",
    convert: function(u) {
      try {
        return BigInt(u);
      } catch {
        throw new Error('Cannot convert "' + u + '" to BigInt');
      }
    }
  }, {
    from: "string",
    to: "Fraction",
    convert: function(u) {
      i || po(u);
      try {
        return new i(u);
      } catch {
        throw new Error('Cannot convert "' + u + '" to Fraction');
      }
    }
  }, {
    from: "string",
    to: "Complex",
    convert: function(u) {
      n || fo(u);
      try {
        return new n(u);
      } catch {
        throw new Error('Cannot convert "' + u + '" to Complex');
      }
    }
  }, {
    from: "boolean",
    to: "number",
    convert: function(u) {
      return +u;
    }
  }, {
    from: "boolean",
    to: "BigNumber",
    convert: function(u) {
      return t || co(u), new t(+u);
    }
  }, {
    from: "boolean",
    to: "bigint",
    convert: function(u) {
      return BigInt(+u);
    }
  }, {
    from: "boolean",
    to: "Fraction",
    convert: function(u) {
      return i || po(u), new i(+u);
    }
  }, {
    from: "boolean",
    to: "string",
    convert: function(u) {
      return String(u);
    }
  }, {
    from: "Array",
    to: "Matrix",
    convert: function(u) {
      return a || WC(), new a(u);
    }
  }, {
    from: "Matrix",
    to: "Array",
    convert: function(u) {
      return u.valueOf();
    }
  }]), o.onMismatch = (l, u, s) => {
    var c = o.createError(l, u, s);
    if (["wrongType", "mismatch"].includes(c.data.category) && u.length === 1 && At(u[0]) && // check if the function can be unary:
    s.some((d) => !d.params.includes(","))) {
      var f = new TypeError("Function '".concat(l, "' doesn't apply to matrices. To call it ") + "elementwise on a matrix 'M', try 'map(M, ".concat(l, ")'."));
      throw f.data = c.data, f;
    }
    throw c;
  }, o.onMismatch = (l, u, s) => {
    var c = o.createError(l, u, s);
    if (["wrongType", "mismatch"].includes(c.data.category) && u.length === 1 && At(u[0]) && // check if the function can be unary:
    s.some((d) => !d.params.includes(","))) {
      var f = new TypeError("Function '".concat(l, "' doesn't apply to matrices. To call it ") + "elementwise on a matrix 'M', try 'map(M, ".concat(l, ")'."));
      throw f.data = c.data, f;
    }
    throw c;
  }, o;
});
function co(e) {
  throw new Error("Cannot convert value ".concat(e, " into a BigNumber: no class 'BigNumber' provided"));
}
function fo(e) {
  throw new Error("Cannot convert value ".concat(e, " into a Complex number: no class 'Complex' provided"));
}
function WC() {
  throw new Error("Cannot convert array into a Matrix: no class 'DenseMatrix' provided");
}
function po(e) {
  throw new Error("Cannot convert value ".concat(e, " into a Fraction, no class 'Fraction' provided."));
}
var KC = "ResultSet", JC = [], YC = /* @__PURE__ */ P(KC, JC, () => {
  function e(r) {
    if (!(this instanceof e))
      throw new SyntaxError("Constructor must be called with the new operator");
    this.entries = r || [];
  }
  return e.prototype.type = "ResultSet", e.prototype.isResultSet = !0, e.prototype.valueOf = function() {
    return this.entries;
  }, e.prototype.toString = function() {
    return "[" + this.entries.map(String).join(", ") + "]";
  }, e.prototype.toJSON = function() {
    return {
      mathjs: "ResultSet",
      entries: this.entries
    };
  }, e.fromJSON = function(r) {
    return new e(r.entries);
  }, e;
}, {
  isClass: !0
});
/*!
 *  decimal.js v10.6.0
 *  An arbitrary-precision Decimal type for JavaScript.
 *  https://github.com/MikeMcl/decimal.js
 *  Copyright (c) 2025 Michael Mclaughlin <M8ch88l@gmail.com>
 *  MIT Licence
 */
var Ra = 9e15, ea = 1e9, zu = "0123456789abcdef", Go = "2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058", Wo = "3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789", qu = {
  // These values must be integers within the stated ranges (inclusive).
  // Most of these values can be changed at run-time using the `Decimal.config` method.
  // The maximum number of significant digits of the result of a calculation or base conversion.
  // E.g. `Decimal.config({ precision: 20 });`
  precision: 20,
  // 1 to MAX_DIGITS
  // The rounding mode used when rounding to `precision`.
  //
  // ROUND_UP         0 Away from zero.
  // ROUND_DOWN       1 Towards zero.
  // ROUND_CEIL       2 Towards +Infinity.
  // ROUND_FLOOR      3 Towards -Infinity.
  // ROUND_HALF_UP    4 Towards nearest neighbour. If equidistant, up.
  // ROUND_HALF_DOWN  5 Towards nearest neighbour. If equidistant, down.
  // ROUND_HALF_EVEN  6 Towards nearest neighbour. If equidistant, towards even neighbour.
  // ROUND_HALF_CEIL  7 Towards nearest neighbour. If equidistant, towards +Infinity.
  // ROUND_HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.
  //
  // E.g.
  // `Decimal.rounding = 4;`
  // `Decimal.rounding = Decimal.ROUND_HALF_UP;`
  rounding: 4,
  // 0 to 8
  // The modulo mode used when calculating the modulus: a mod n.
  // The quotient (q = a / n) is calculated according to the corresponding rounding mode.
  // The remainder (r) is calculated as: r = a - n * q.
  //
  // UP         0 The remainder is positive if the dividend is negative, else is negative.
  // DOWN       1 The remainder has the same sign as the dividend (JavaScript %).
  // FLOOR      3 The remainder has the same sign as the divisor (Python %).
  // HALF_EVEN  6 The IEEE 754 remainder function.
  // EUCLID     9 Euclidian division. q = sign(n) * floor(a / abs(n)). Always positive.
  //
  // Truncated division (1), floored division (3), the IEEE 754 remainder (6), and Euclidian
  // division (9) are commonly used for the modulus operation. The other rounding modes can also
  // be used, but they may not give useful results.
  modulo: 1,
  // 0 to 9
  // The exponent value at and beneath which `toString` returns exponential notation.
  // JavaScript numbers: -7
  toExpNeg: -7,
  // 0 to -EXP_LIMIT
  // The exponent value at and above which `toString` returns exponential notation.
  // JavaScript numbers: 21
  toExpPos: 21,
  // 0 to EXP_LIMIT
  // The minimum exponent value, beneath which underflow to zero occurs.
  // JavaScript numbers: -324  (5e-324)
  minE: -Ra,
  // -1 to -EXP_LIMIT
  // The maximum exponent value, above which overflow to Infinity occurs.
  // JavaScript numbers: 308  (1.7976931348623157e+308)
  maxE: Ra,
  // 1 to EXP_LIMIT
  // Whether to use cryptographically-secure random number generation, if available.
  crypto: !1
  // true/false
}, sg, bn, Ke = !0, Fs = "[DecimalError] ", Yn = Fs + "Invalid argument: ", ug = Fs + "Precision limit exceeded", lg = Fs + "crypto unavailable", cg = "[object Decimal]", Qr = Math.floor, Br = Math.pow, jC = /^0b([01]+(\.[01]*)?|\.[01]+)(p[+-]?\d+)?$/i, XC = /^0x([0-9a-f]+(\.[0-9a-f]*)?|\.[0-9a-f]+)(p[+-]?\d+)?$/i, QC = /^0o([0-7]+(\.[0-7]*)?|\.[0-7]+)(p[+-]?\d+)?$/i, fg = /^(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i, kt = 1e7, Le = 7, eM = 9007199254740991, rM = Go.length - 1, Lu = Wo.length - 1, ye = { toStringTag: cg };
ye.absoluteValue = ye.abs = function() {
  var e = new this.constructor(this);
  return e.s < 0 && (e.s = 1), Ie(e);
};
ye.ceil = function() {
  return Ie(new this.constructor(this), this.e + 1, 2);
};
ye.clampedTo = ye.clamp = function(e, r) {
  var t, n = this, a = n.constructor;
  if (e = new a(e), r = new a(r), !e.s || !r.s) return new a(NaN);
  if (e.gt(r)) throw Error(Yn + r);
  return t = n.cmp(e), t < 0 ? e : n.cmp(r) > 0 ? r : new a(n);
};
ye.comparedTo = ye.cmp = function(e) {
  var r, t, n, a, i = this, o = i.d, l = (e = new i.constructor(e)).d, u = i.s, s = e.s;
  if (!o || !l)
    return !u || !s ? NaN : u !== s ? u : o === l ? 0 : !o ^ u < 0 ? 1 : -1;
  if (!o[0] || !l[0]) return o[0] ? u : l[0] ? -s : 0;
  if (u !== s) return u;
  if (i.e !== e.e) return i.e > e.e ^ u < 0 ? 1 : -1;
  for (n = o.length, a = l.length, r = 0, t = n < a ? n : a; r < t; ++r)
    if (o[r] !== l[r]) return o[r] > l[r] ^ u < 0 ? 1 : -1;
  return n === a ? 0 : n > a ^ u < 0 ? 1 : -1;
};
ye.cosine = ye.cos = function() {
  var e, r, t = this, n = t.constructor;
  return t.d ? t.d[0] ? (e = n.precision, r = n.rounding, n.precision = e + Math.max(t.e, t.sd()) + Le, n.rounding = 1, t = tM(n, hg(n, t)), n.precision = e, n.rounding = r, Ie(bn == 2 || bn == 3 ? t.neg() : t, e, r, !0)) : new n(1) : new n(NaN);
};
ye.cubeRoot = ye.cbrt = function() {
  var e, r, t, n, a, i, o, l, u, s, c = this, f = c.constructor;
  if (!c.isFinite() || c.isZero()) return new f(c);
  for (Ke = !1, i = c.s * Br(c.s * c, 1 / 3), !i || Math.abs(i) == 1 / 0 ? (t = Hr(c.d), e = c.e, (i = (e - t.length + 1) % 3) && (t += i == 1 || i == -2 ? "0" : "00"), i = Br(t, 1 / 3), e = Qr((e + 1) / 3) - (e % 3 == (e < 0 ? -1 : 2)), i == 1 / 0 ? t = "5e" + e : (t = i.toExponential(), t = t.slice(0, t.indexOf("e") + 1) + e), n = new f(t), n.s = c.s) : n = new f(i.toString()), o = (e = f.precision) + 3; ; )
    if (l = n, u = l.times(l).times(l), s = u.plus(c), n = wr(s.plus(c).times(l), s.plus(u), o + 2, 1), Hr(l.d).slice(0, o) === (t = Hr(n.d)).slice(0, o))
      if (t = t.slice(o - 3, o + 1), t == "9999" || !a && t == "4999") {
        if (!a && (Ie(l, e + 1, 0), l.times(l).times(l).eq(c))) {
          n = l;
          break;
        }
        o += 4, a = 1;
      } else {
        (!+t || !+t.slice(1) && t.charAt(0) == "5") && (Ie(n, e + 1, 1), r = !n.times(n).times(n).eq(c));
        break;
      }
  return Ke = !0, Ie(n, e, f.rounding, r);
};
ye.decimalPlaces = ye.dp = function() {
  var e, r = this.d, t = NaN;
  if (r) {
    if (e = r.length - 1, t = (e - Qr(this.e / Le)) * Le, e = r[e], e) for (; e % 10 == 0; e /= 10) t--;
    t < 0 && (t = 0);
  }
  return t;
};
ye.dividedBy = ye.div = function(e) {
  return wr(this, new this.constructor(e));
};
ye.dividedToIntegerBy = ye.divToInt = function(e) {
  var r = this, t = r.constructor;
  return Ie(wr(r, new t(e), 0, 1, 1), t.precision, t.rounding);
};
ye.equals = ye.eq = function(e) {
  return this.cmp(e) === 0;
};
ye.floor = function() {
  return Ie(new this.constructor(this), this.e + 1, 3);
};
ye.greaterThan = ye.gt = function(e) {
  return this.cmp(e) > 0;
};
ye.greaterThanOrEqualTo = ye.gte = function(e) {
  var r = this.cmp(e);
  return r == 1 || r === 0;
};
ye.hyperbolicCosine = ye.cosh = function() {
  var e, r, t, n, a, i = this, o = i.constructor, l = new o(1);
  if (!i.isFinite()) return new o(i.s ? 1 / 0 : NaN);
  if (i.isZero()) return l;
  t = o.precision, n = o.rounding, o.precision = t + Math.max(i.e, i.sd()) + 4, o.rounding = 1, a = i.d.length, a < 32 ? (e = Math.ceil(a / 3), r = (1 / Os(4, e)).toString()) : (e = 16, r = "2.3283064365386962890625e-10"), i = Qa(o, 1, i.times(r), new o(1), !0);
  for (var u, s = e, c = new o(8); s--; )
    u = i.times(i), i = l.minus(u.times(c.minus(u.times(c))));
  return Ie(i, o.precision = t, o.rounding = n, !0);
};
ye.hyperbolicSine = ye.sinh = function() {
  var e, r, t, n, a = this, i = a.constructor;
  if (!a.isFinite() || a.isZero()) return new i(a);
  if (r = i.precision, t = i.rounding, i.precision = r + Math.max(a.e, a.sd()) + 4, i.rounding = 1, n = a.d.length, n < 3)
    a = Qa(i, 2, a, a, !0);
  else {
    e = 1.4 * Math.sqrt(n), e = e > 16 ? 16 : e | 0, a = a.times(1 / Os(5, e)), a = Qa(i, 2, a, a, !0);
    for (var o, l = new i(5), u = new i(16), s = new i(20); e--; )
      o = a.times(a), a = a.times(l.plus(o.times(u.times(o).plus(s))));
  }
  return i.precision = r, i.rounding = t, Ie(a, r, t, !0);
};
ye.hyperbolicTangent = ye.tanh = function() {
  var e, r, t = this, n = t.constructor;
  return t.isFinite() ? t.isZero() ? new n(t) : (e = n.precision, r = n.rounding, n.precision = e + 7, n.rounding = 1, wr(t.sinh(), t.cosh(), n.precision = e, n.rounding = r)) : new n(t.s);
};
ye.inverseCosine = ye.acos = function() {
  var e = this, r = e.constructor, t = e.abs().cmp(1), n = r.precision, a = r.rounding;
  return t !== -1 ? t === 0 ? e.isNeg() ? jt(r, n, a) : new r(0) : new r(NaN) : e.isZero() ? jt(r, n + 4, a).times(0.5) : (r.precision = n + 6, r.rounding = 1, e = new r(1).minus(e).div(e.plus(1)).sqrt().atan(), r.precision = n, r.rounding = a, e.times(2));
};
ye.inverseHyperbolicCosine = ye.acosh = function() {
  var e, r, t = this, n = t.constructor;
  return t.lte(1) ? new n(t.eq(1) ? 0 : NaN) : t.isFinite() ? (e = n.precision, r = n.rounding, n.precision = e + Math.max(Math.abs(t.e), t.sd()) + 4, n.rounding = 1, Ke = !1, t = t.times(t).minus(1).sqrt().plus(t), Ke = !0, n.precision = e, n.rounding = r, t.ln()) : new n(t);
};
ye.inverseHyperbolicSine = ye.asinh = function() {
  var e, r, t = this, n = t.constructor;
  return !t.isFinite() || t.isZero() ? new n(t) : (e = n.precision, r = n.rounding, n.precision = e + 2 * Math.max(Math.abs(t.e), t.sd()) + 6, n.rounding = 1, Ke = !1, t = t.times(t).plus(1).sqrt().plus(t), Ke = !0, n.precision = e, n.rounding = r, t.ln());
};
ye.inverseHyperbolicTangent = ye.atanh = function() {
  var e, r, t, n, a = this, i = a.constructor;
  return a.isFinite() ? a.e >= 0 ? new i(a.abs().eq(1) ? a.s / 0 : a.isZero() ? a : NaN) : (e = i.precision, r = i.rounding, n = a.sd(), Math.max(n, e) < 2 * -a.e - 1 ? Ie(new i(a), e, r, !0) : (i.precision = t = n - a.e, a = wr(a.plus(1), new i(1).minus(a), t + e, 1), i.precision = e + 4, i.rounding = 1, a = a.ln(), i.precision = e, i.rounding = r, a.times(0.5))) : new i(NaN);
};
ye.inverseSine = ye.asin = function() {
  var e, r, t, n, a = this, i = a.constructor;
  return a.isZero() ? new i(a) : (r = a.abs().cmp(1), t = i.precision, n = i.rounding, r !== -1 ? r === 0 ? (e = jt(i, t + 4, n).times(0.5), e.s = a.s, e) : new i(NaN) : (i.precision = t + 6, i.rounding = 1, a = a.div(new i(1).minus(a.times(a)).sqrt().plus(1)).atan(), i.precision = t, i.rounding = n, a.times(2)));
};
ye.inverseTangent = ye.atan = function() {
  var e, r, t, n, a, i, o, l, u, s = this, c = s.constructor, f = c.precision, d = c.rounding;
  if (s.isFinite()) {
    if (s.isZero())
      return new c(s);
    if (s.abs().eq(1) && f + 4 <= Lu)
      return o = jt(c, f + 4, d).times(0.25), o.s = s.s, o;
  } else {
    if (!s.s) return new c(NaN);
    if (f + 4 <= Lu)
      return o = jt(c, f + 4, d).times(0.5), o.s = s.s, o;
  }
  for (c.precision = l = f + 10, c.rounding = 1, t = Math.min(28, l / Le + 2 | 0), e = t; e; --e) s = s.div(s.times(s).plus(1).sqrt().plus(1));
  for (Ke = !1, r = Math.ceil(l / Le), n = 1, u = s.times(s), o = new c(s), a = s; e !== -1; )
    if (a = a.times(u), i = o.minus(a.div(n += 2)), a = a.times(u), o = i.plus(a.div(n += 2)), o.d[r] !== void 0) for (e = r; o.d[e] === i.d[e] && e--; ) ;
  return t && (o = o.times(2 << t - 1)), Ke = !0, Ie(o, c.precision = f, c.rounding = d, !0);
};
ye.isFinite = function() {
  return !!this.d;
};
ye.isInteger = ye.isInt = function() {
  return !!this.d && Qr(this.e / Le) > this.d.length - 2;
};
ye.isNaN = function() {
  return !this.s;
};
ye.isNegative = ye.isNeg = function() {
  return this.s < 0;
};
ye.isPositive = ye.isPos = function() {
  return this.s > 0;
};
ye.isZero = function() {
  return !!this.d && this.d[0] === 0;
};
ye.lessThan = ye.lt = function(e) {
  return this.cmp(e) < 0;
};
ye.lessThanOrEqualTo = ye.lte = function(e) {
  return this.cmp(e) < 1;
};
ye.logarithm = ye.log = function(e) {
  var r, t, n, a, i, o, l, u, s = this, c = s.constructor, f = c.precision, d = c.rounding, p = 5;
  if (e == null)
    e = new c(10), r = !0;
  else {
    if (e = new c(e), t = e.d, e.s < 0 || !t || !t[0] || e.eq(1)) return new c(NaN);
    r = e.eq(10);
  }
  if (t = s.d, s.s < 0 || !t || !t[0] || s.eq(1))
    return new c(t && !t[0] ? -1 / 0 : s.s != 1 ? NaN : t ? 0 : 1 / 0);
  if (r)
    if (t.length > 1)
      i = !0;
    else {
      for (a = t[0]; a % 10 === 0; ) a /= 10;
      i = a !== 1;
    }
  if (Ke = !1, l = f + p, o = Hn(s, l), n = r ? Ko(c, l + 10) : Hn(e, l), u = wr(o, n, l, 1), zi(u.d, a = f, d))
    do
      if (l += 10, o = Hn(s, l), n = r ? Ko(c, l + 10) : Hn(e, l), u = wr(o, n, l, 1), !i) {
        +Hr(u.d).slice(a + 1, a + 15) + 1 == 1e14 && (u = Ie(u, f + 1, 0));
        break;
      }
    while (zi(u.d, a += 10, d));
  return Ke = !0, Ie(u, f, d);
};
ye.minus = ye.sub = function(e) {
  var r, t, n, a, i, o, l, u, s, c, f, d, p = this, m = p.constructor;
  if (e = new m(e), !p.d || !e.d)
    return !p.s || !e.s ? e = new m(NaN) : p.d ? e.s = -e.s : e = new m(e.d || p.s !== e.s ? p : NaN), e;
  if (p.s != e.s)
    return e.s = -e.s, p.plus(e);
  if (s = p.d, d = e.d, l = m.precision, u = m.rounding, !s[0] || !d[0]) {
    if (d[0]) e.s = -e.s;
    else if (s[0]) e = new m(p);
    else return new m(u === 3 ? -0 : 0);
    return Ke ? Ie(e, l, u) : e;
  }
  if (t = Qr(e.e / Le), c = Qr(p.e / Le), s = s.slice(), i = c - t, i) {
    for (f = i < 0, f ? (r = s, i = -i, o = d.length) : (r = d, t = c, o = s.length), n = Math.max(Math.ceil(l / Le), o) + 2, i > n && (i = n, r.length = 1), r.reverse(), n = i; n--; ) r.push(0);
    r.reverse();
  } else {
    for (n = s.length, o = d.length, f = n < o, f && (o = n), n = 0; n < o; n++)
      if (s[n] != d[n]) {
        f = s[n] < d[n];
        break;
      }
    i = 0;
  }
  for (f && (r = s, s = d, d = r, e.s = -e.s), o = s.length, n = d.length - o; n > 0; --n) s[o++] = 0;
  for (n = d.length; n > i; ) {
    if (s[--n] < d[n]) {
      for (a = n; a && s[--a] === 0; ) s[a] = kt - 1;
      --s[a], s[n] += kt;
    }
    s[n] -= d[n];
  }
  for (; s[--o] === 0; ) s.pop();
  for (; s[0] === 0; s.shift()) --t;
  return s[0] ? (e.d = s, e.e = Ts(s, t), Ke ? Ie(e, l, u) : e) : new m(u === 3 ? -0 : 0);
};
ye.modulo = ye.mod = function(e) {
  var r, t = this, n = t.constructor;
  return e = new n(e), !t.d || !e.s || e.d && !e.d[0] ? new n(NaN) : !e.d || t.d && !t.d[0] ? Ie(new n(t), n.precision, n.rounding) : (Ke = !1, n.modulo == 9 ? (r = wr(t, e.abs(), 0, 3, 1), r.s *= e.s) : r = wr(t, e, 0, n.modulo, 1), r = r.times(e), Ke = !0, t.minus(r));
};
ye.naturalExponential = ye.exp = function() {
  return Uu(this);
};
ye.naturalLogarithm = ye.ln = function() {
  return Hn(this);
};
ye.negated = ye.neg = function() {
  var e = new this.constructor(this);
  return e.s = -e.s, Ie(e);
};
ye.plus = ye.add = function(e) {
  var r, t, n, a, i, o, l, u, s, c, f = this, d = f.constructor;
  if (e = new d(e), !f.d || !e.d)
    return !f.s || !e.s ? e = new d(NaN) : f.d || (e = new d(e.d || f.s === e.s ? f : NaN)), e;
  if (f.s != e.s)
    return e.s = -e.s, f.minus(e);
  if (s = f.d, c = e.d, l = d.precision, u = d.rounding, !s[0] || !c[0])
    return c[0] || (e = new d(f)), Ke ? Ie(e, l, u) : e;
  if (i = Qr(f.e / Le), n = Qr(e.e / Le), s = s.slice(), a = i - n, a) {
    for (a < 0 ? (t = s, a = -a, o = c.length) : (t = c, n = i, o = s.length), i = Math.ceil(l / Le), o = i > o ? i + 1 : o + 1, a > o && (a = o, t.length = 1), t.reverse(); a--; ) t.push(0);
    t.reverse();
  }
  for (o = s.length, a = c.length, o - a < 0 && (a = o, t = c, c = s, s = t), r = 0; a; )
    r = (s[--a] = s[a] + c[a] + r) / kt | 0, s[a] %= kt;
  for (r && (s.unshift(r), ++n), o = s.length; s[--o] == 0; ) s.pop();
  return e.d = s, e.e = Ts(s, n), Ke ? Ie(e, l, u) : e;
};
ye.precision = ye.sd = function(e) {
  var r, t = this;
  if (e !== void 0 && e !== !!e && e !== 1 && e !== 0) throw Error(Yn + e);
  return t.d ? (r = dg(t.d), e && t.e + 1 > r && (r = t.e + 1)) : r = NaN, r;
};
ye.round = function() {
  var e = this, r = e.constructor;
  return Ie(new r(e), e.e + 1, r.rounding);
};
ye.sine = ye.sin = function() {
  var e, r, t = this, n = t.constructor;
  return t.isFinite() ? t.isZero() ? new n(t) : (e = n.precision, r = n.rounding, n.precision = e + Math.max(t.e, t.sd()) + Le, n.rounding = 1, t = aM(n, hg(n, t)), n.precision = e, n.rounding = r, Ie(bn > 2 ? t.neg() : t, e, r, !0)) : new n(NaN);
};
ye.squareRoot = ye.sqrt = function() {
  var e, r, t, n, a, i, o = this, l = o.d, u = o.e, s = o.s, c = o.constructor;
  if (s !== 1 || !l || !l[0])
    return new c(!s || s < 0 && (!l || l[0]) ? NaN : l ? o : 1 / 0);
  for (Ke = !1, s = Math.sqrt(+o), s == 0 || s == 1 / 0 ? (r = Hr(l), (r.length + u) % 2 == 0 && (r += "0"), s = Math.sqrt(r), u = Qr((u + 1) / 2) - (u < 0 || u % 2), s == 1 / 0 ? r = "5e" + u : (r = s.toExponential(), r = r.slice(0, r.indexOf("e") + 1) + u), n = new c(r)) : n = new c(s.toString()), t = (u = c.precision) + 3; ; )
    if (i = n, n = i.plus(wr(o, i, t + 2, 1)).times(0.5), Hr(i.d).slice(0, t) === (r = Hr(n.d)).slice(0, t))
      if (r = r.slice(t - 3, t + 1), r == "9999" || !a && r == "4999") {
        if (!a && (Ie(i, u + 1, 0), i.times(i).eq(o))) {
          n = i;
          break;
        }
        t += 4, a = 1;
      } else {
        (!+r || !+r.slice(1) && r.charAt(0) == "5") && (Ie(n, u + 1, 1), e = !n.times(n).eq(o));
        break;
      }
  return Ke = !0, Ie(n, u, c.rounding, e);
};
ye.tangent = ye.tan = function() {
  var e, r, t = this, n = t.constructor;
  return t.isFinite() ? t.isZero() ? new n(t) : (e = n.precision, r = n.rounding, n.precision = e + 10, n.rounding = 1, t = t.sin(), t.s = 1, t = wr(t, new n(1).minus(t.times(t)).sqrt(), e + 10, 0), n.precision = e, n.rounding = r, Ie(bn == 2 || bn == 4 ? t.neg() : t, e, r, !0)) : new n(NaN);
};
ye.times = ye.mul = function(e) {
  var r, t, n, a, i, o, l, u, s, c = this, f = c.constructor, d = c.d, p = (e = new f(e)).d;
  if (e.s *= c.s, !d || !d[0] || !p || !p[0])
    return new f(!e.s || d && !d[0] && !p || p && !p[0] && !d ? NaN : !d || !p ? e.s / 0 : e.s * 0);
  for (t = Qr(c.e / Le) + Qr(e.e / Le), u = d.length, s = p.length, u < s && (i = d, d = p, p = i, o = u, u = s, s = o), i = [], o = u + s, n = o; n--; ) i.push(0);
  for (n = s; --n >= 0; ) {
    for (r = 0, a = u + n; a > n; )
      l = i[a] + p[n] * d[a - n - 1] + r, i[a--] = l % kt | 0, r = l / kt | 0;
    i[a] = (i[a] + r) % kt | 0;
  }
  for (; !i[--o]; ) i.pop();
  return r ? ++t : i.shift(), e.d = i, e.e = Ts(i, t), Ke ? Ie(e, f.precision, f.rounding) : e;
};
ye.toBinary = function(e, r) {
  return zl(this, 2, e, r);
};
ye.toDecimalPlaces = ye.toDP = function(e, r) {
  var t = this, n = t.constructor;
  return t = new n(t), e === void 0 ? t : (vt(e, 0, ea), r === void 0 ? r = n.rounding : vt(r, 0, 8), Ie(t, e + t.e + 1, r));
};
ye.toExponential = function(e, r) {
  var t, n = this, a = n.constructor;
  return e === void 0 ? t = tn(n, !0) : (vt(e, 0, ea), r === void 0 ? r = a.rounding : vt(r, 0, 8), n = Ie(new a(n), e + 1, r), t = tn(n, !0, e + 1)), n.isNeg() && !n.isZero() ? "-" + t : t;
};
ye.toFixed = function(e, r) {
  var t, n, a = this, i = a.constructor;
  return e === void 0 ? t = tn(a) : (vt(e, 0, ea), r === void 0 ? r = i.rounding : vt(r, 0, 8), n = Ie(new i(a), e + a.e + 1, r), t = tn(n, !1, e + n.e + 1)), a.isNeg() && !a.isZero() ? "-" + t : t;
};
ye.toFraction = function(e) {
  var r, t, n, a, i, o, l, u, s, c, f, d, p = this, m = p.d, v = p.constructor;
  if (!m) return new v(p);
  if (s = t = new v(1), n = u = new v(0), r = new v(n), i = r.e = dg(m) - p.e - 1, o = i % Le, r.d[0] = Br(10, o < 0 ? Le + o : o), e == null)
    e = i > 0 ? r : s;
  else {
    if (l = new v(e), !l.isInt() || l.lt(s)) throw Error(Yn + l);
    e = l.gt(r) ? i > 0 ? r : s : l;
  }
  for (Ke = !1, l = new v(Hr(m)), c = v.precision, v.precision = i = m.length * Le * 2; f = wr(l, r, 0, 1, 1), a = t.plus(f.times(n)), a.cmp(e) != 1; )
    t = n, n = a, a = s, s = u.plus(f.times(a)), u = a, a = r, r = l.minus(f.times(a)), l = a;
  return a = wr(e.minus(t), n, 0, 1, 1), u = u.plus(a.times(s)), t = t.plus(a.times(n)), u.s = s.s = p.s, d = wr(s, n, i, 1).minus(p).abs().cmp(wr(u, t, i, 1).minus(p).abs()) < 1 ? [s, n] : [u, t], v.precision = c, Ke = !0, d;
};
ye.toHexadecimal = ye.toHex = function(e, r) {
  return zl(this, 16, e, r);
};
ye.toNearest = function(e, r) {
  var t = this, n = t.constructor;
  if (t = new n(t), e == null) {
    if (!t.d) return t;
    e = new n(1), r = n.rounding;
  } else {
    if (e = new n(e), r === void 0 ? r = n.rounding : vt(r, 0, 8), !t.d) return e.s ? t : e;
    if (!e.d)
      return e.s && (e.s = t.s), e;
  }
  return e.d[0] ? (Ke = !1, t = wr(t, e, 0, r, 1).times(e), Ke = !0, Ie(t)) : (e.s = t.s, t = e), t;
};
ye.toNumber = function() {
  return +this;
};
ye.toOctal = function(e, r) {
  return zl(this, 8, e, r);
};
ye.toPower = ye.pow = function(e) {
  var r, t, n, a, i, o, l = this, u = l.constructor, s = +(e = new u(e));
  if (!l.d || !e.d || !l.d[0] || !e.d[0]) return new u(Br(+l, s));
  if (l = new u(l), l.eq(1)) return l;
  if (n = u.precision, i = u.rounding, e.eq(1)) return Ie(l, n, i);
  if (r = Qr(e.e / Le), r >= e.d.length - 1 && (t = s < 0 ? -s : s) <= eM)
    return a = pg(u, l, t, n), e.s < 0 ? new u(1).div(a) : Ie(a, n, i);
  if (o = l.s, o < 0) {
    if (r < e.d.length - 1) return new u(NaN);
    if (e.d[r] & 1 || (o = 1), l.e == 0 && l.d[0] == 1 && l.d.length == 1)
      return l.s = o, l;
  }
  return t = Br(+l, s), r = t == 0 || !isFinite(t) ? Qr(s * (Math.log("0." + Hr(l.d)) / Math.LN10 + l.e + 1)) : new u(t + "").e, r > u.maxE + 1 || r < u.minE - 1 ? new u(r > 0 ? o / 0 : 0) : (Ke = !1, u.rounding = l.s = 1, t = Math.min(12, (r + "").length), a = Uu(e.times(Hn(l, n + t)), n), a.d && (a = Ie(a, n + 5, 1), zi(a.d, n, i) && (r = n + 10, a = Ie(Uu(e.times(Hn(l, r + t)), r), r + 5, 1), +Hr(a.d).slice(n + 1, n + 15) + 1 == 1e14 && (a = Ie(a, n + 1, 0)))), a.s = o, Ke = !0, u.rounding = i, Ie(a, n, i));
};
ye.toPrecision = function(e, r) {
  var t, n = this, a = n.constructor;
  return e === void 0 ? t = tn(n, n.e <= a.toExpNeg || n.e >= a.toExpPos) : (vt(e, 1, ea), r === void 0 ? r = a.rounding : vt(r, 0, 8), n = Ie(new a(n), e, r), t = tn(n, e <= n.e || n.e <= a.toExpNeg, e)), n.isNeg() && !n.isZero() ? "-" + t : t;
};
ye.toSignificantDigits = ye.toSD = function(e, r) {
  var t = this, n = t.constructor;
  return e === void 0 ? (e = n.precision, r = n.rounding) : (vt(e, 1, ea), r === void 0 ? r = n.rounding : vt(r, 0, 8)), Ie(new n(t), e, r);
};
ye.toString = function() {
  var e = this, r = e.constructor, t = tn(e, e.e <= r.toExpNeg || e.e >= r.toExpPos);
  return e.isNeg() && !e.isZero() ? "-" + t : t;
};
ye.truncated = ye.trunc = function() {
  return Ie(new this.constructor(this), this.e + 1, 1);
};
ye.valueOf = ye.toJSON = function() {
  var e = this, r = e.constructor, t = tn(e, e.e <= r.toExpNeg || e.e >= r.toExpPos);
  return e.isNeg() ? "-" + t : t;
};
function Hr(e) {
  var r, t, n, a = e.length - 1, i = "", o = e[0];
  if (a > 0) {
    for (i += o, r = 1; r < a; r++)
      n = e[r] + "", t = Le - n.length, t && (i += zn(t)), i += n;
    o = e[r], n = o + "", t = Le - n.length, t && (i += zn(t));
  } else if (o === 0)
    return "0";
  for (; o % 10 === 0; ) o /= 10;
  return i + o;
}
function vt(e, r, t) {
  if (e !== ~~e || e < r || e > t)
    throw Error(Yn + e);
}
function zi(e, r, t, n) {
  var a, i, o, l;
  for (i = e[0]; i >= 10; i /= 10) --r;
  return --r < 0 ? (r += Le, a = 0) : (a = Math.ceil((r + 1) / Le), r %= Le), i = Br(10, Le - r), l = e[a] % i | 0, n == null ? r < 3 ? (r == 0 ? l = l / 100 | 0 : r == 1 && (l = l / 10 | 0), o = t < 4 && l == 99999 || t > 3 && l == 49999 || l == 5e4 || l == 0) : o = (t < 4 && l + 1 == i || t > 3 && l + 1 == i / 2) && (e[a + 1] / i / 100 | 0) == Br(10, r - 2) - 1 || (l == i / 2 || l == 0) && (e[a + 1] / i / 100 | 0) == 0 : r < 4 ? (r == 0 ? l = l / 1e3 | 0 : r == 1 ? l = l / 100 | 0 : r == 2 && (l = l / 10 | 0), o = (n || t < 4) && l == 9999 || !n && t > 3 && l == 4999) : o = ((n || t < 4) && l + 1 == i || !n && t > 3 && l + 1 == i / 2) && (e[a + 1] / i / 1e3 | 0) == Br(10, r - 3) - 1, o;
}
function Io(e, r, t) {
  for (var n, a = [0], i, o = 0, l = e.length; o < l; ) {
    for (i = a.length; i--; ) a[i] *= r;
    for (a[0] += zu.indexOf(e.charAt(o++)), n = 0; n < a.length; n++)
      a[n] > t - 1 && (a[n + 1] === void 0 && (a[n + 1] = 0), a[n + 1] += a[n] / t | 0, a[n] %= t);
  }
  return a.reverse();
}
function tM(e, r) {
  var t, n, a;
  if (r.isZero()) return r;
  n = r.d.length, n < 32 ? (t = Math.ceil(n / 3), a = (1 / Os(4, t)).toString()) : (t = 16, a = "2.3283064365386962890625e-10"), e.precision += t, r = Qa(e, 1, r.times(a), new e(1));
  for (var i = t; i--; ) {
    var o = r.times(r);
    r = o.times(o).minus(o).times(8).plus(1);
  }
  return e.precision -= t, r;
}
var wr = /* @__PURE__ */ function() {
  function e(n, a, i) {
    var o, l = 0, u = n.length;
    for (n = n.slice(); u--; )
      o = n[u] * a + l, n[u] = o % i | 0, l = o / i | 0;
    return l && n.unshift(l), n;
  }
  function r(n, a, i, o) {
    var l, u;
    if (i != o)
      u = i > o ? 1 : -1;
    else
      for (l = u = 0; l < i; l++)
        if (n[l] != a[l]) {
          u = n[l] > a[l] ? 1 : -1;
          break;
        }
    return u;
  }
  function t(n, a, i, o) {
    for (var l = 0; i--; )
      n[i] -= l, l = n[i] < a[i] ? 1 : 0, n[i] = l * o + n[i] - a[i];
    for (; !n[0] && n.length > 1; ) n.shift();
  }
  return function(n, a, i, o, l, u) {
    var s, c, f, d, p, m, v, b, y, A, h, x, w, g, D, E, N, S, M, F, $ = n.constructor, I = n.s == a.s ? 1 : -1, B = n.d, C = a.d;
    if (!B || !B[0] || !C || !C[0])
      return new $(
        // Return NaN if either NaN, or both Infinity or 0.
        !n.s || !a.s || (B ? C && B[0] == C[0] : !C) ? NaN : (
          // Return ±0 if x is 0 or y is ±Infinity, or return ±Infinity as y is 0.
          B && B[0] == 0 || !C ? I * 0 : I / 0
        )
      );
    for (u ? (p = 1, c = n.e - a.e) : (u = kt, p = Le, c = Qr(n.e / p) - Qr(a.e / p)), M = C.length, N = B.length, y = new $(I), A = y.d = [], f = 0; C[f] == (B[f] || 0); f++) ;
    if (C[f] > (B[f] || 0) && c--, i == null ? (g = i = $.precision, o = $.rounding) : l ? g = i + (n.e - a.e) + 1 : g = i, g < 0)
      A.push(1), m = !0;
    else {
      if (g = g / p + 2 | 0, f = 0, M == 1) {
        for (d = 0, C = C[0], g++; (f < N || d) && g--; f++)
          D = d * u + (B[f] || 0), A[f] = D / C | 0, d = D % C | 0;
        m = d || f < N;
      } else {
        for (d = u / (C[0] + 1) | 0, d > 1 && (C = e(C, d, u), B = e(B, d, u), M = C.length, N = B.length), E = M, h = B.slice(0, M), x = h.length; x < M; ) h[x++] = 0;
        F = C.slice(), F.unshift(0), S = C[0], C[1] >= u / 2 && ++S;
        do
          d = 0, s = r(C, h, M, x), s < 0 ? (w = h[0], M != x && (w = w * u + (h[1] || 0)), d = w / S | 0, d > 1 ? (d >= u && (d = u - 1), v = e(C, d, u), b = v.length, x = h.length, s = r(v, h, b, x), s == 1 && (d--, t(v, M < b ? F : C, b, u))) : (d == 0 && (s = d = 1), v = C.slice()), b = v.length, b < x && v.unshift(0), t(h, v, x, u), s == -1 && (x = h.length, s = r(C, h, M, x), s < 1 && (d++, t(h, M < x ? F : C, x, u))), x = h.length) : s === 0 && (d++, h = [0]), A[f++] = d, s && h[0] ? h[x++] = B[E] || 0 : (h = [B[E]], x = 1);
        while ((E++ < N || h[0] !== void 0) && g--);
        m = h[0] !== void 0;
      }
      A[0] || A.shift();
    }
    if (p == 1)
      y.e = c, sg = m;
    else {
      for (f = 1, d = A[0]; d >= 10; d /= 10) f++;
      y.e = f + c * p - 1, Ie(y, l ? i + y.e + 1 : i, o, m);
    }
    return y;
  };
}();
function Ie(e, r, t, n) {
  var a, i, o, l, u, s, c, f, d, p = e.constructor;
  e: if (r != null) {
    if (f = e.d, !f) return e;
    for (a = 1, l = f[0]; l >= 10; l /= 10) a++;
    if (i = r - a, i < 0)
      i += Le, o = r, c = f[d = 0], u = c / Br(10, a - o - 1) % 10 | 0;
    else if (d = Math.ceil((i + 1) / Le), l = f.length, d >= l)
      if (n) {
        for (; l++ <= d; ) f.push(0);
        c = u = 0, a = 1, i %= Le, o = i - Le + 1;
      } else
        break e;
    else {
      for (c = l = f[d], a = 1; l >= 10; l /= 10) a++;
      i %= Le, o = i - Le + a, u = o < 0 ? 0 : c / Br(10, a - o - 1) % 10 | 0;
    }
    if (n = n || r < 0 || f[d + 1] !== void 0 || (o < 0 ? c : c % Br(10, a - o - 1)), s = t < 4 ? (u || n) && (t == 0 || t == (e.s < 0 ? 3 : 2)) : u > 5 || u == 5 && (t == 4 || n || t == 6 && // Check whether the digit to the left of the rounding digit is odd.
    (i > 0 ? o > 0 ? c / Br(10, a - o) : 0 : f[d - 1]) % 10 & 1 || t == (e.s < 0 ? 8 : 7)), r < 1 || !f[0])
      return f.length = 0, s ? (r -= e.e + 1, f[0] = Br(10, (Le - r % Le) % Le), e.e = -r || 0) : f[0] = e.e = 0, e;
    if (i == 0 ? (f.length = d, l = 1, d--) : (f.length = d + 1, l = Br(10, Le - i), f[d] = o > 0 ? (c / Br(10, a - o) % Br(10, o) | 0) * l : 0), s)
      for (; ; )
        if (d == 0) {
          for (i = 1, o = f[0]; o >= 10; o /= 10) i++;
          for (o = f[0] += l, l = 1; o >= 10; o /= 10) l++;
          i != l && (e.e++, f[0] == kt && (f[0] = 1));
          break;
        } else {
          if (f[d] += l, f[d] != kt) break;
          f[d--] = 0, l = 1;
        }
    for (i = f.length; f[--i] === 0; ) f.pop();
  }
  return Ke && (e.e > p.maxE ? (e.d = null, e.e = NaN) : e.e < p.minE && (e.e = 0, e.d = [0])), e;
}
function tn(e, r, t) {
  if (!e.isFinite()) return vg(e);
  var n, a = e.e, i = Hr(e.d), o = i.length;
  return r ? (t && (n = t - o) > 0 ? i = i.charAt(0) + "." + i.slice(1) + zn(n) : o > 1 && (i = i.charAt(0) + "." + i.slice(1)), i = i + (e.e < 0 ? "e" : "e+") + e.e) : a < 0 ? (i = "0." + zn(-a - 1) + i, t && (n = t - o) > 0 && (i += zn(n))) : a >= o ? (i += zn(a + 1 - o), t && (n = t - a - 1) > 0 && (i = i + "." + zn(n))) : ((n = a + 1) < o && (i = i.slice(0, n) + "." + i.slice(n)), t && (n = t - o) > 0 && (a + 1 === o && (i += "."), i += zn(n))), i;
}
function Ts(e, r) {
  var t = e[0];
  for (r *= Le; t >= 10; t /= 10) r++;
  return r;
}
function Ko(e, r, t) {
  if (r > rM)
    throw Ke = !0, t && (e.precision = t), Error(ug);
  return Ie(new e(Go), r, 1, !0);
}
function jt(e, r, t) {
  if (r > Lu) throw Error(ug);
  return Ie(new e(Wo), r, t, !0);
}
function dg(e) {
  var r = e.length - 1, t = r * Le + 1;
  if (r = e[r], r) {
    for (; r % 10 == 0; r /= 10) t--;
    for (r = e[0]; r >= 10; r /= 10) t++;
  }
  return t;
}
function zn(e) {
  for (var r = ""; e--; ) r += "0";
  return r;
}
function pg(e, r, t, n) {
  var a, i = new e(1), o = Math.ceil(n / Le + 4);
  for (Ke = !1; ; ) {
    if (t % 2 && (i = i.times(r), Gf(i.d, o) && (a = !0)), t = Qr(t / 2), t === 0) {
      t = i.d.length - 1, a && i.d[t] === 0 && ++i.d[t];
      break;
    }
    r = r.times(r), Gf(r.d, o);
  }
  return Ke = !0, i;
}
function Zf(e) {
  return e.d[e.d.length - 1] & 1;
}
function mg(e, r, t) {
  for (var n, a, i = new e(r[0]), o = 0; ++o < r.length; ) {
    if (a = new e(r[o]), !a.s) {
      i = a;
      break;
    }
    n = i.cmp(a), (n === t || n === 0 && i.s === t) && (i = a);
  }
  return i;
}
function Uu(e, r) {
  var t, n, a, i, o, l, u, s = 0, c = 0, f = 0, d = e.constructor, p = d.rounding, m = d.precision;
  if (!e.d || !e.d[0] || e.e > 17)
    return new d(e.d ? e.d[0] ? e.s < 0 ? 0 : 1 / 0 : 1 : e.s ? e.s < 0 ? 0 : e : NaN);
  for (r == null ? (Ke = !1, u = m) : u = r, l = new d(0.03125); e.e > -2; )
    e = e.times(l), f += 5;
  for (n = Math.log(Br(2, f)) / Math.LN10 * 2 + 5 | 0, u += n, t = i = o = new d(1), d.precision = u; ; ) {
    if (i = Ie(i.times(e), u, 1), t = t.times(++c), l = o.plus(wr(i, t, u, 1)), Hr(l.d).slice(0, u) === Hr(o.d).slice(0, u)) {
      for (a = f; a--; ) o = Ie(o.times(o), u, 1);
      if (r == null)
        if (s < 3 && zi(o.d, u - n, p, s))
          d.precision = u += 10, t = i = l = new d(1), c = 0, s++;
        else
          return Ie(o, d.precision = m, p, Ke = !0);
      else
        return d.precision = m, o;
    }
    o = l;
  }
}
function Hn(e, r) {
  var t, n, a, i, o, l, u, s, c, f, d, p = 1, m = 10, v = e, b = v.d, y = v.constructor, A = y.rounding, h = y.precision;
  if (v.s < 0 || !b || !b[0] || !v.e && b[0] == 1 && b.length == 1)
    return new y(b && !b[0] ? -1 / 0 : v.s != 1 ? NaN : b ? 0 : v);
  if (r == null ? (Ke = !1, c = h) : c = r, y.precision = c += m, t = Hr(b), n = t.charAt(0), Math.abs(i = v.e) < 15e14) {
    for (; n < 7 && n != 1 || n == 1 && t.charAt(1) > 3; )
      v = v.times(e), t = Hr(v.d), n = t.charAt(0), p++;
    i = v.e, n > 1 ? (v = new y("0." + t), i++) : v = new y(n + "." + t.slice(1));
  } else
    return s = Ko(y, c + 2, h).times(i + ""), v = Hn(new y(n + "." + t.slice(1)), c - m).plus(s), y.precision = h, r == null ? Ie(v, h, A, Ke = !0) : v;
  for (f = v, u = o = v = wr(v.minus(1), v.plus(1), c, 1), d = Ie(v.times(v), c, 1), a = 3; ; ) {
    if (o = Ie(o.times(d), c, 1), s = u.plus(wr(o, new y(a), c, 1)), Hr(s.d).slice(0, c) === Hr(u.d).slice(0, c))
      if (u = u.times(2), i !== 0 && (u = u.plus(Ko(y, c + 2, h).times(i + ""))), u = wr(u, new y(p), c, 1), r == null)
        if (zi(u.d, c - m, A, l))
          y.precision = c += m, s = o = v = wr(f.minus(1), f.plus(1), c, 1), d = Ie(v.times(v), c, 1), a = l = 1;
        else
          return Ie(u, y.precision = h, A, Ke = !0);
      else
        return y.precision = h, u;
    u = s, a += 2;
  }
}
function vg(e) {
  return String(e.s * e.s / 0);
}
function Ro(e, r) {
  var t, n, a;
  for ((t = r.indexOf(".")) > -1 && (r = r.replace(".", "")), (n = r.search(/e/i)) > 0 ? (t < 0 && (t = n), t += +r.slice(n + 1), r = r.substring(0, n)) : t < 0 && (t = r.length), n = 0; r.charCodeAt(n) === 48; n++) ;
  for (a = r.length; r.charCodeAt(a - 1) === 48; --a) ;
  if (r = r.slice(n, a), r) {
    if (a -= n, e.e = t = t - n - 1, e.d = [], n = (t + 1) % Le, t < 0 && (n += Le), n < a) {
      for (n && e.d.push(+r.slice(0, n)), a -= Le; n < a; ) e.d.push(+r.slice(n, n += Le));
      r = r.slice(n), n = Le - r.length;
    } else
      n -= a;
    for (; n--; ) r += "0";
    e.d.push(+r), Ke && (e.e > e.constructor.maxE ? (e.d = null, e.e = NaN) : e.e < e.constructor.minE && (e.e = 0, e.d = [0]));
  } else
    e.e = 0, e.d = [0];
  return e;
}
function nM(e, r) {
  var t, n, a, i, o, l, u, s, c;
  if (r.indexOf("_") > -1) {
    if (r = r.replace(/(\d)_(?=\d)/g, "$1"), fg.test(r)) return Ro(e, r);
  } else if (r === "Infinity" || r === "NaN")
    return +r || (e.s = NaN), e.e = NaN, e.d = null, e;
  if (XC.test(r))
    t = 16, r = r.toLowerCase();
  else if (jC.test(r))
    t = 2;
  else if (QC.test(r))
    t = 8;
  else
    throw Error(Yn + r);
  for (i = r.search(/p/i), i > 0 ? (u = +r.slice(i + 1), r = r.substring(2, i)) : r = r.slice(2), i = r.indexOf("."), o = i >= 0, n = e.constructor, o && (r = r.replace(".", ""), l = r.length, i = l - i, a = pg(n, new n(t), i, i * 2)), s = Io(r, t, kt), c = s.length - 1, i = c; s[i] === 0; --i) s.pop();
  return i < 0 ? new n(e.s * 0) : (e.e = Ts(s, c), e.d = s, Ke = !1, o && (e = wr(e, a, l * 4)), u && (e = e.times(Math.abs(u) < 54 ? Br(2, u) : jn.pow(2, u))), Ke = !0, e);
}
function aM(e, r) {
  var t, n = r.d.length;
  if (n < 3)
    return r.isZero() ? r : Qa(e, 2, r, r);
  t = 1.4 * Math.sqrt(n), t = t > 16 ? 16 : t | 0, r = r.times(1 / Os(5, t)), r = Qa(e, 2, r, r);
  for (var a, i = new e(5), o = new e(16), l = new e(20); t--; )
    a = r.times(r), r = r.times(i.plus(a.times(o.times(a).minus(l))));
  return r;
}
function Qa(e, r, t, n, a) {
  var i, o, l, u, s = e.precision, c = Math.ceil(s / Le);
  for (Ke = !1, u = t.times(t), l = new e(n); ; ) {
    if (o = wr(l.times(u), new e(r++ * r++), s, 1), l = a ? n.plus(o) : n.minus(o), n = wr(o.times(u), new e(r++ * r++), s, 1), o = l.plus(n), o.d[c] !== void 0) {
      for (i = c; o.d[i] === l.d[i] && i--; ) ;
      if (i == -1) break;
    }
    i = l, l = n, n = o, o = i;
  }
  return Ke = !0, o.d.length = c + 1, o;
}
function Os(e, r) {
  for (var t = e; --r; ) t *= e;
  return t;
}
function hg(e, r) {
  var t, n = r.s < 0, a = jt(e, e.precision, 1), i = a.times(0.5);
  if (r = r.abs(), r.lte(i))
    return bn = n ? 4 : 1, r;
  if (t = r.divToInt(a), t.isZero())
    bn = n ? 3 : 2;
  else {
    if (r = r.minus(t.times(a)), r.lte(i))
      return bn = Zf(t) ? n ? 2 : 3 : n ? 4 : 1, r;
    bn = Zf(t) ? n ? 1 : 4 : n ? 3 : 2;
  }
  return r.minus(a).abs();
}
function zl(e, r, t, n) {
  var a, i, o, l, u, s, c, f, d, p = e.constructor, m = t !== void 0;
  if (m ? (vt(t, 1, ea), n === void 0 ? n = p.rounding : vt(n, 0, 8)) : (t = p.precision, n = p.rounding), !e.isFinite())
    c = vg(e);
  else {
    for (c = tn(e), o = c.indexOf("."), m ? (a = 2, r == 16 ? t = t * 4 - 3 : r == 8 && (t = t * 3 - 2)) : a = r, o >= 0 && (c = c.replace(".", ""), d = new p(1), d.e = c.length - o, d.d = Io(tn(d), 10, a), d.e = d.d.length), f = Io(c, 10, a), i = u = f.length; f[--u] == 0; ) f.pop();
    if (!f[0])
      c = m ? "0p+0" : "0";
    else {
      if (o < 0 ? i-- : (e = new p(e), e.d = f, e.e = i, e = wr(e, d, t, n, 0, a), f = e.d, i = e.e, s = sg), o = f[t], l = a / 2, s = s || f[t + 1] !== void 0, s = n < 4 ? (o !== void 0 || s) && (n === 0 || n === (e.s < 0 ? 3 : 2)) : o > l || o === l && (n === 4 || s || n === 6 && f[t - 1] & 1 || n === (e.s < 0 ? 8 : 7)), f.length = t, s)
        for (; ++f[--t] > a - 1; )
          f[t] = 0, t || (++i, f.unshift(1));
      for (u = f.length; !f[u - 1]; --u) ;
      for (o = 0, c = ""; o < u; o++) c += zu.charAt(f[o]);
      if (m) {
        if (u > 1)
          if (r == 16 || r == 8) {
            for (o = r == 16 ? 4 : 3, --u; u % o; u++) c += "0";
            for (f = Io(c, a, r), u = f.length; !f[u - 1]; --u) ;
            for (o = 1, c = "1."; o < u; o++) c += zu.charAt(f[o]);
          } else
            c = c.charAt(0) + "." + c.slice(1);
        c = c + (i < 0 ? "p" : "p+") + i;
      } else if (i < 0) {
        for (; ++i; ) c = "0" + c;
        c = "0." + c;
      } else if (++i > u) for (i -= u; i--; ) c += "0";
      else i < u && (c = c.slice(0, i) + "." + c.slice(i));
    }
    c = (r == 16 ? "0x" : r == 2 ? "0b" : r == 8 ? "0o" : "") + c;
  }
  return e.s < 0 ? "-" + c : c;
}
function Gf(e, r) {
  if (e.length > r)
    return e.length = r, !0;
}
function iM(e) {
  return new this(e).abs();
}
function oM(e) {
  return new this(e).acos();
}
function sM(e) {
  return new this(e).acosh();
}
function uM(e, r) {
  return new this(e).plus(r);
}
function lM(e) {
  return new this(e).asin();
}
function cM(e) {
  return new this(e).asinh();
}
function fM(e) {
  return new this(e).atan();
}
function dM(e) {
  return new this(e).atanh();
}
function pM(e, r) {
  e = new this(e), r = new this(r);
  var t, n = this.precision, a = this.rounding, i = n + 4;
  return !e.s || !r.s ? t = new this(NaN) : !e.d && !r.d ? (t = jt(this, i, 1).times(r.s > 0 ? 0.25 : 0.75), t.s = e.s) : !r.d || e.isZero() ? (t = r.s < 0 ? jt(this, n, a) : new this(0), t.s = e.s) : !e.d || r.isZero() ? (t = jt(this, i, 1).times(0.5), t.s = e.s) : r.s < 0 ? (this.precision = i, this.rounding = 1, t = this.atan(wr(e, r, i, 1)), r = jt(this, i, 1), this.precision = n, this.rounding = a, t = e.s < 0 ? t.minus(r) : t.plus(r)) : t = this.atan(wr(e, r, i, 1)), t;
}
function mM(e) {
  return new this(e).cbrt();
}
function vM(e) {
  return Ie(e = new this(e), e.e + 1, 2);
}
function hM(e, r, t) {
  return new this(e).clamp(r, t);
}
function gM(e) {
  if (!e || typeof e != "object") throw Error(Fs + "Object expected");
  var r, t, n, a = e.defaults === !0, i = [
    "precision",
    1,
    ea,
    "rounding",
    0,
    8,
    "toExpNeg",
    -Ra,
    0,
    "toExpPos",
    0,
    Ra,
    "maxE",
    0,
    Ra,
    "minE",
    -Ra,
    0,
    "modulo",
    0,
    9
  ];
  for (r = 0; r < i.length; r += 3)
    if (t = i[r], a && (this[t] = qu[t]), (n = e[t]) !== void 0)
      if (Qr(n) === n && n >= i[r + 1] && n <= i[r + 2]) this[t] = n;
      else throw Error(Yn + t + ": " + n);
  if (t = "crypto", a && (this[t] = qu[t]), (n = e[t]) !== void 0)
    if (n === !0 || n === !1 || n === 0 || n === 1)
      if (n)
        if (typeof crypto < "u" && crypto && (crypto.getRandomValues || crypto.randomBytes))
          this[t] = !0;
        else
          throw Error(lg);
      else
        this[t] = !1;
    else
      throw Error(Yn + t + ": " + n);
  return this;
}
function yM(e) {
  return new this(e).cos();
}
function bM(e) {
  return new this(e).cosh();
}
function gg(e) {
  var r, t, n;
  function a(i) {
    var o, l, u, s = this;
    if (!(s instanceof a)) return new a(i);
    if (s.constructor = a, Wf(i)) {
      s.s = i.s, Ke ? !i.d || i.e > a.maxE ? (s.e = NaN, s.d = null) : i.e < a.minE ? (s.e = 0, s.d = [0]) : (s.e = i.e, s.d = i.d.slice()) : (s.e = i.e, s.d = i.d ? i.d.slice() : i.d);
      return;
    }
    if (u = typeof i, u === "number") {
      if (i === 0) {
        s.s = 1 / i < 0 ? -1 : 1, s.e = 0, s.d = [0];
        return;
      }
      if (i < 0 ? (i = -i, s.s = -1) : s.s = 1, i === ~~i && i < 1e7) {
        for (o = 0, l = i; l >= 10; l /= 10) o++;
        Ke ? o > a.maxE ? (s.e = NaN, s.d = null) : o < a.minE ? (s.e = 0, s.d = [0]) : (s.e = o, s.d = [i]) : (s.e = o, s.d = [i]);
        return;
      }
      if (i * 0 !== 0) {
        i || (s.s = NaN), s.e = NaN, s.d = null;
        return;
      }
      return Ro(s, i.toString());
    }
    if (u === "string")
      return (l = i.charCodeAt(0)) === 45 ? (i = i.slice(1), s.s = -1) : (l === 43 && (i = i.slice(1)), s.s = 1), fg.test(i) ? Ro(s, i) : nM(s, i);
    if (u === "bigint")
      return i < 0 ? (i = -i, s.s = -1) : s.s = 1, Ro(s, i.toString());
    throw Error(Yn + i);
  }
  if (a.prototype = ye, a.ROUND_UP = 0, a.ROUND_DOWN = 1, a.ROUND_CEIL = 2, a.ROUND_FLOOR = 3, a.ROUND_HALF_UP = 4, a.ROUND_HALF_DOWN = 5, a.ROUND_HALF_EVEN = 6, a.ROUND_HALF_CEIL = 7, a.ROUND_HALF_FLOOR = 8, a.EUCLID = 9, a.config = a.set = gM, a.clone = gg, a.isDecimal = Wf, a.abs = iM, a.acos = oM, a.acosh = sM, a.add = uM, a.asin = lM, a.asinh = cM, a.atan = fM, a.atanh = dM, a.atan2 = pM, a.cbrt = mM, a.ceil = vM, a.clamp = hM, a.cos = yM, a.cosh = bM, a.div = wM, a.exp = xM, a.floor = AM, a.hypot = NM, a.ln = DM, a.log = EM, a.log10 = CM, a.log2 = SM, a.max = MM, a.min = _M, a.mod = FM, a.mul = TM, a.pow = OM, a.random = BM, a.round = $M, a.sign = IM, a.sin = RM, a.sinh = PM, a.sqrt = zM, a.sub = qM, a.sum = LM, a.tan = UM, a.tanh = kM, a.trunc = VM, e === void 0 && (e = {}), e && e.defaults !== !0)
    for (n = ["precision", "rounding", "toExpNeg", "toExpPos", "maxE", "minE", "modulo", "crypto"], r = 0; r < n.length; ) e.hasOwnProperty(t = n[r++]) || (e[t] = this[t]);
  return a.config(e), a;
}
function wM(e, r) {
  return new this(e).div(r);
}
function xM(e) {
  return new this(e).exp();
}
function AM(e) {
  return Ie(e = new this(e), e.e + 1, 3);
}
function NM() {
  var e, r, t = new this(0);
  for (Ke = !1, e = 0; e < arguments.length; )
    if (r = new this(arguments[e++]), r.d)
      t.d && (t = t.plus(r.times(r)));
    else {
      if (r.s)
        return Ke = !0, new this(1 / 0);
      t = r;
    }
  return Ke = !0, t.sqrt();
}
function Wf(e) {
  return e instanceof jn || e && e.toStringTag === cg || !1;
}
function DM(e) {
  return new this(e).ln();
}
function EM(e, r) {
  return new this(e).log(r);
}
function SM(e) {
  return new this(e).log(2);
}
function CM(e) {
  return new this(e).log(10);
}
function MM() {
  return mg(this, arguments, -1);
}
function _M() {
  return mg(this, arguments, 1);
}
function FM(e, r) {
  return new this(e).mod(r);
}
function TM(e, r) {
  return new this(e).mul(r);
}
function OM(e, r) {
  return new this(e).pow(r);
}
function BM(e) {
  var r, t, n, a, i = 0, o = new this(1), l = [];
  if (e === void 0 ? e = this.precision : vt(e, 1, ea), n = Math.ceil(e / Le), this.crypto)
    if (crypto.getRandomValues)
      for (r = crypto.getRandomValues(new Uint32Array(n)); i < n; )
        a = r[i], a >= 429e7 ? r[i] = crypto.getRandomValues(new Uint32Array(1))[0] : l[i++] = a % 1e7;
    else if (crypto.randomBytes) {
      for (r = crypto.randomBytes(n *= 4); i < n; )
        a = r[i] + (r[i + 1] << 8) + (r[i + 2] << 16) + ((r[i + 3] & 127) << 24), a >= 214e7 ? crypto.randomBytes(4).copy(r, i) : (l.push(a % 1e7), i += 4);
      i = n / 4;
    } else
      throw Error(lg);
  else for (; i < n; ) l[i++] = Math.random() * 1e7 | 0;
  for (n = l[--i], e %= Le, n && e && (a = Br(10, Le - e), l[i] = (n / a | 0) * a); l[i] === 0; i--) l.pop();
  if (i < 0)
    t = 0, l = [0];
  else {
    for (t = -1; l[0] === 0; t -= Le) l.shift();
    for (n = 1, a = l[0]; a >= 10; a /= 10) n++;
    n < Le && (t -= Le - n);
  }
  return o.e = t, o.d = l, o;
}
function $M(e) {
  return Ie(e = new this(e), e.e + 1, this.rounding);
}
function IM(e) {
  return e = new this(e), e.d ? e.d[0] ? e.s : 0 * e.s : e.s || NaN;
}
function RM(e) {
  return new this(e).sin();
}
function PM(e) {
  return new this(e).sinh();
}
function zM(e) {
  return new this(e).sqrt();
}
function qM(e, r) {
  return new this(e).sub(r);
}
function LM() {
  var e = 0, r = arguments, t = new this(r[e]);
  for (Ke = !1; t.s && ++e < r.length; ) t = t.plus(r[e]);
  return Ke = !0, Ie(t, this.precision, this.rounding);
}
function UM(e) {
  return new this(e).tan();
}
function kM(e) {
  return new this(e).tanh();
}
function VM(e) {
  return Ie(e = new this(e), e.e + 1, 1);
}
ye[Symbol.for("nodejs.util.inspect.custom")] = ye.toString;
ye[Symbol.toStringTag] = "Decimal";
var jn = ye.constructor = gg(qu);
Go = new jn(Go);
Wo = new jn(Wo);
var HM = "BigNumber", ZM = ["?on", "config"], GM = /* @__PURE__ */ P(HM, ZM, (e) => {
  var {
    on: r,
    config: t
  } = e, n = jn.clone({
    precision: t.precision,
    modulo: jn.EUCLID
  });
  return n.prototype = Object.create(n.prototype), n.prototype.type = "BigNumber", n.prototype.isBigNumber = !0, n.prototype.toJSON = function() {
    return {
      mathjs: "BigNumber",
      value: this.toString()
    };
  }, n.fromJSON = function(a) {
    return new n(a.value);
  }, r && r("config", function(a, i) {
    a.precision !== i.precision && n.config({
      precision: a.precision
    });
  }), n;
}, {
  isClass: !0
});
const Jr = Math.cosh || function(e) {
  return Math.abs(e) < 1e-9 ? 1 - e : (Math.exp(e) + Math.exp(-e)) * 0.5;
}, St = Math.sinh || function(e) {
  return Math.abs(e) < 1e-9 ? e : (Math.exp(e) - Math.exp(-e)) * 0.5;
}, WM = function(e) {
  const r = Math.PI / 4;
  if (-r > e || e > r)
    return Math.cos(e) - 1;
  const t = e * e;
  return t * (t * (t * (t * (t * (t * (t * (t / 20922789888e3 - 1 / 87178291200) + 1 / 479001600) - 1 / 3628800) + 1 / 40320) - 1 / 720) + 1 / 24) - 1 / 2);
}, lu = function(e, r) {
  return e = Math.abs(e), r = Math.abs(r), e < r && ([e, r] = [r, e]), e < 1e8 ? Math.sqrt(e * e + r * r) : (r /= e, e * Math.sqrt(1 + r * r));
}, Fa = function() {
  throw SyntaxError("Invalid Param");
};
function cu(e, r) {
  const t = Math.abs(e), n = Math.abs(r);
  return e === 0 ? Math.log(n) : r === 0 ? Math.log(t) : t < 3e3 && n < 3e3 ? Math.log(e * e + r * r) * 0.5 : (e = e * 0.5, r = r * 0.5, 0.5 * Math.log(e * e + r * r) + Math.LN2);
}
const KM = { re: 0, im: 0 }, oa = function(e, r) {
  const t = KM;
  if (e == null)
    t.re = t.im = 0;
  else if (r !== void 0)
    t.re = e, t.im = r;
  else
    switch (typeof e) {
      case "object":
        if ("im" in e && "re" in e)
          t.re = e.re, t.im = e.im;
        else if ("abs" in e && "arg" in e) {
          if (!isFinite(e.abs) && isFinite(e.arg))
            return ve.INFINITY;
          t.re = e.abs * Math.cos(e.arg), t.im = e.abs * Math.sin(e.arg);
        } else if ("r" in e && "phi" in e) {
          if (!isFinite(e.r) && isFinite(e.phi))
            return ve.INFINITY;
          t.re = e.r * Math.cos(e.phi), t.im = e.r * Math.sin(e.phi);
        } else e.length === 2 ? (t.re = e[0], t.im = e[1]) : Fa();
        break;
      case "string":
        t.im = /* void */
        t.re = 0;
        const n = e.replace(/_/g, "").match(/\d+\.?\d*e[+-]?\d+|\d+\.?\d*|\.\d+|./g);
        let a = 1, i = 0;
        n === null && Fa();
        for (let o = 0; o < n.length; o++) {
          const l = n[o];
          l === " " || l === "	" || l === `
` || (l === "+" ? a++ : l === "-" ? i++ : l === "i" || l === "I" ? (a + i === 0 && Fa(), n[o + 1] !== " " && !isNaN(n[o + 1]) ? (t.im += parseFloat((i % 2 ? "-" : "") + n[o + 1]), o++) : t.im += parseFloat((i % 2 ? "-" : "") + "1"), a = i = 0) : ((a + i === 0 || isNaN(l)) && Fa(), n[o + 1] === "i" || n[o + 1] === "I" ? (t.im += parseFloat((i % 2 ? "-" : "") + l), o++) : t.re += parseFloat((i % 2 ? "-" : "") + l), a = i = 0));
        }
        a + i > 0 && Fa();
        break;
      case "number":
        t.im = 0, t.re = e;
        break;
      default:
        Fa();
    }
  return isNaN(t.re) || isNaN(t.im), t;
};
function ve(e, r) {
  if (!(this instanceof ve))
    return new ve(e, r);
  const t = oa(e, r);
  this.re = t.re, this.im = t.im;
}
ve.prototype = {
  re: 0,
  im: 0,
  /**
   * Calculates the sign of a complex number, which is a normalized complex
   *
   * @returns {Complex}
   */
  sign: function() {
    const e = lu(this.re, this.im);
    return new ve(
      this.re / e,
      this.im / e
    );
  },
  /**
   * Adds two complex numbers
   *
   * @returns {Complex}
   */
  add: function(e, r) {
    const t = oa(e, r), n = this.isInfinite(), a = !(isFinite(t.re) && isFinite(t.im));
    return n || a ? n && a ? ve.NAN : ve.INFINITY : new ve(
      this.re + t.re,
      this.im + t.im
    );
  },
  /**
   * Subtracts two complex numbers
   *
   * @returns {Complex}
   */
  sub: function(e, r) {
    const t = oa(e, r), n = this.isInfinite(), a = !(isFinite(t.re) && isFinite(t.im));
    return n || a ? n && a ? ve.NAN : ve.INFINITY : new ve(
      this.re - t.re,
      this.im - t.im
    );
  },
  /**
   * Multiplies two complex numbers
   *
   * @returns {Complex}
   */
  mul: function(e, r) {
    const t = oa(e, r), n = this.isInfinite(), a = !(isFinite(t.re) && isFinite(t.im)), i = this.re === 0 && this.im === 0, o = t.re === 0 && t.im === 0;
    return n && o || a && i ? ve.NAN : n || a ? ve.INFINITY : t.im === 0 && this.im === 0 ? new ve(this.re * t.re, 0) : new ve(
      this.re * t.re - this.im * t.im,
      this.re * t.im + this.im * t.re
    );
  },
  /**
   * Divides two complex numbers
   *
   * @returns {Complex}
   */
  div: function(e, r) {
    const t = oa(e, r), n = this.isInfinite(), a = !(isFinite(t.re) && isFinite(t.im)), i = this.re === 0 && this.im === 0, o = t.re === 0 && t.im === 0;
    if (i && o || n && a)
      return ve.NAN;
    if (o || n)
      return ve.INFINITY;
    if (i || a)
      return ve.ZERO;
    if (t.im === 0)
      return new ve(this.re / t.re, this.im / t.re);
    if (Math.abs(t.re) < Math.abs(t.im)) {
      const l = t.re / t.im, u = t.re * l + t.im;
      return new ve(
        (this.re * l + this.im) / u,
        (this.im * l - this.re) / u
      );
    } else {
      const l = t.im / t.re, u = t.im * l + t.re;
      return new ve(
        (this.re + this.im * l) / u,
        (this.im - this.re * l) / u
      );
    }
  },
  /**
   * Calculate the power of two complex numbers
   *
   * @returns {Complex}
   */
  pow: function(e, r) {
    const t = oa(e, r), n = this.re === 0 && this.im === 0;
    if (t.re === 0 && t.im === 0)
      return ve.ONE;
    if (t.im === 0) {
      if (this.im === 0 && this.re > 0)
        return new ve(Math.pow(this.re, t.re), 0);
      if (this.re === 0)
        switch ((t.re % 4 + 4) % 4) {
          case 0:
            return new ve(Math.pow(this.im, t.re), 0);
          case 1:
            return new ve(0, Math.pow(this.im, t.re));
          case 2:
            return new ve(-Math.pow(this.im, t.re), 0);
          case 3:
            return new ve(0, -Math.pow(this.im, t.re));
        }
    }
    if (n && t.re > 0)
      return ve.ZERO;
    const i = Math.atan2(this.im, this.re), o = cu(this.re, this.im);
    let l = Math.exp(t.re * o - t.im * i), u = t.im * o + t.re * i;
    return new ve(
      l * Math.cos(u),
      l * Math.sin(u)
    );
  },
  /**
   * Calculate the complex square root
   *
   * @returns {Complex}
   */
  sqrt: function() {
    const e = this.re, r = this.im;
    if (r === 0)
      return e >= 0 ? new ve(Math.sqrt(e), 0) : new ve(0, Math.sqrt(-e));
    const t = lu(e, r);
    let n = Math.sqrt(0.5 * (t + Math.abs(e))), a = Math.abs(r) / (2 * n);
    return e >= 0 ? new ve(n, r < 0 ? -a : a) : new ve(a, r < 0 ? -n : n);
  },
  /**
   * Calculate the complex exponent
   *
   * @returns {Complex}
   */
  exp: function() {
    const e = Math.exp(this.re);
    return this.im === 0 ? new ve(e, 0) : new ve(
      e * Math.cos(this.im),
      e * Math.sin(this.im)
    );
  },
  /**
   * Calculate the complex exponent and subtracts one.
   *
   * This may be more accurate than `Complex(x).exp().sub(1)` if
   * `x` is small.
   *
   * @returns {Complex}
   */
  expm1: function() {
    const e = this.re, r = this.im;
    return new ve(
      Math.expm1(e) * Math.cos(r) + WM(r),
      Math.exp(e) * Math.sin(r)
    );
  },
  /**
   * Calculate the natural log
   *
   * @returns {Complex}
   */
  log: function() {
    const e = this.re, r = this.im;
    return r === 0 && e > 0 ? new ve(Math.log(e), 0) : new ve(
      cu(e, r),
      Math.atan2(r, e)
    );
  },
  /**
   * Calculate the magnitude of the complex number
   *
   * @returns {number}
   */
  abs: function() {
    return lu(this.re, this.im);
  },
  /**
   * Calculate the angle of the complex number
   *
   * @returns {number}
   */
  arg: function() {
    return Math.atan2(this.im, this.re);
  },
  /**
   * Calculate the sine of the complex number
   *
   * @returns {Complex}
   */
  sin: function() {
    const e = this.re, r = this.im;
    return new ve(
      Math.sin(e) * Jr(r),
      Math.cos(e) * St(r)
    );
  },
  /**
   * Calculate the cosine
   *
   * @returns {Complex}
   */
  cos: function() {
    const e = this.re, r = this.im;
    return new ve(
      Math.cos(e) * Jr(r),
      -Math.sin(e) * St(r)
    );
  },
  /**
   * Calculate the tangent
   *
   * @returns {Complex}
   */
  tan: function() {
    const e = 2 * this.re, r = 2 * this.im, t = Math.cos(e) + Jr(r);
    return new ve(
      Math.sin(e) / t,
      St(r) / t
    );
  },
  /**
   * Calculate the cotangent
   *
   * @returns {Complex}
   */
  cot: function() {
    const e = 2 * this.re, r = 2 * this.im, t = Math.cos(e) - Jr(r);
    return new ve(
      -Math.sin(e) / t,
      St(r) / t
    );
  },
  /**
   * Calculate the secant
   *
   * @returns {Complex}
   */
  sec: function() {
    const e = this.re, r = this.im, t = 0.5 * Jr(2 * r) + 0.5 * Math.cos(2 * e);
    return new ve(
      Math.cos(e) * Jr(r) / t,
      Math.sin(e) * St(r) / t
    );
  },
  /**
   * Calculate the cosecans
   *
   * @returns {Complex}
   */
  csc: function() {
    const e = this.re, r = this.im, t = 0.5 * Jr(2 * r) - 0.5 * Math.cos(2 * e);
    return new ve(
      Math.sin(e) * Jr(r) / t,
      -Math.cos(e) * St(r) / t
    );
  },
  /**
   * Calculate the complex arcus sinus
   *
   * @returns {Complex}
   */
  asin: function() {
    const e = this.re, r = this.im, t = new ve(
      r * r - e * e + 1,
      -2 * e * r
    ).sqrt(), n = new ve(
      t.re - r,
      t.im + e
    ).log();
    return new ve(n.im, -n.re);
  },
  /**
   * Calculate the complex arcus cosinus
   *
   * @returns {Complex}
   */
  acos: function() {
    const e = this.re, r = this.im, t = new ve(
      r * r - e * e + 1,
      -2 * e * r
    ).sqrt(), n = new ve(
      t.re - r,
      t.im + e
    ).log();
    return new ve(Math.PI / 2 - n.im, n.re);
  },
  /**
   * Calculate the complex arcus tangent
   *
   * @returns {Complex}
   */
  atan: function() {
    const e = this.re, r = this.im;
    if (e === 0) {
      if (r === 1)
        return new ve(0, 1 / 0);
      if (r === -1)
        return new ve(0, -1 / 0);
    }
    const t = e * e + (1 - r) * (1 - r), n = new ve(
      (1 - r * r - e * e) / t,
      -2 * e / t
    ).log();
    return new ve(-0.5 * n.im, 0.5 * n.re);
  },
  /**
   * Calculate the complex arcus cotangent
   *
   * @returns {Complex}
   */
  acot: function() {
    const e = this.re, r = this.im;
    if (r === 0)
      return new ve(Math.atan2(1, e), 0);
    const t = e * e + r * r;
    return t !== 0 ? new ve(
      e / t,
      -r / t
    ).atan() : new ve(
      e !== 0 ? e / 0 : 0,
      r !== 0 ? -r / 0 : 0
    ).atan();
  },
  /**
   * Calculate the complex arcus secant
   *
   * @returns {Complex}
   */
  asec: function() {
    const e = this.re, r = this.im;
    if (e === 0 && r === 0)
      return new ve(0, 1 / 0);
    const t = e * e + r * r;
    return t !== 0 ? new ve(
      e / t,
      -r / t
    ).acos() : new ve(
      e !== 0 ? e / 0 : 0,
      r !== 0 ? -r / 0 : 0
    ).acos();
  },
  /**
   * Calculate the complex arcus cosecans
   *
   * @returns {Complex}
   */
  acsc: function() {
    const e = this.re, r = this.im;
    if (e === 0 && r === 0)
      return new ve(Math.PI / 2, 1 / 0);
    const t = e * e + r * r;
    return t !== 0 ? new ve(
      e / t,
      -r / t
    ).asin() : new ve(
      e !== 0 ? e / 0 : 0,
      r !== 0 ? -r / 0 : 0
    ).asin();
  },
  /**
   * Calculate the complex sinh
   *
   * @returns {Complex}
   */
  sinh: function() {
    const e = this.re, r = this.im;
    return new ve(
      St(e) * Math.cos(r),
      Jr(e) * Math.sin(r)
    );
  },
  /**
   * Calculate the complex cosh
   *
   * @returns {Complex}
   */
  cosh: function() {
    const e = this.re, r = this.im;
    return new ve(
      Jr(e) * Math.cos(r),
      St(e) * Math.sin(r)
    );
  },
  /**
   * Calculate the complex tanh
   *
   * @returns {Complex}
   */
  tanh: function() {
    const e = 2 * this.re, r = 2 * this.im, t = Jr(e) + Math.cos(r);
    return new ve(
      St(e) / t,
      Math.sin(r) / t
    );
  },
  /**
   * Calculate the complex coth
   *
   * @returns {Complex}
   */
  coth: function() {
    const e = 2 * this.re, r = 2 * this.im, t = Jr(e) - Math.cos(r);
    return new ve(
      St(e) / t,
      -Math.sin(r) / t
    );
  },
  /**
   * Calculate the complex coth
   *
   * @returns {Complex}
   */
  csch: function() {
    const e = this.re, r = this.im, t = Math.cos(2 * r) - Jr(2 * e);
    return new ve(
      -2 * St(e) * Math.cos(r) / t,
      2 * Jr(e) * Math.sin(r) / t
    );
  },
  /**
   * Calculate the complex sech
   *
   * @returns {Complex}
   */
  sech: function() {
    const e = this.re, r = this.im, t = Math.cos(2 * r) + Jr(2 * e);
    return new ve(
      2 * Jr(e) * Math.cos(r) / t,
      -2 * St(e) * Math.sin(r) / t
    );
  },
  /**
   * Calculate the complex asinh
   *
   * @returns {Complex}
   */
  asinh: function() {
    let e = this.im;
    this.im = -this.re, this.re = e;
    const r = this.asin();
    return this.re = -this.im, this.im = e, e = r.re, r.re = -r.im, r.im = e, r;
  },
  /**
   * Calculate the complex acosh
   *
   * @returns {Complex}
   */
  acosh: function() {
    const e = this.acos();
    if (e.im <= 0) {
      const r = e.re;
      e.re = -e.im, e.im = r;
    } else {
      const r = e.im;
      e.im = -e.re, e.re = r;
    }
    return e;
  },
  /**
   * Calculate the complex atanh
   *
   * @returns {Complex}
   */
  atanh: function() {
    const e = this.re, r = this.im, t = e > 1 && r === 0, n = 1 - e, a = 1 + e, i = n * n + r * r, o = i !== 0 ? new ve(
      (a * n - r * r) / i,
      (r * n + a * r) / i
    ) : new ve(
      e !== -1 ? e / 0 : 0,
      r !== 0 ? r / 0 : 0
    ), l = o.re;
    return o.re = cu(o.re, o.im) / 2, o.im = Math.atan2(o.im, l) / 2, t && (o.im = -o.im), o;
  },
  /**
   * Calculate the complex acoth
   *
   * @returns {Complex}
   */
  acoth: function() {
    const e = this.re, r = this.im;
    if (e === 0 && r === 0)
      return new ve(0, Math.PI / 2);
    const t = e * e + r * r;
    return t !== 0 ? new ve(
      e / t,
      -r / t
    ).atanh() : new ve(
      e !== 0 ? e / 0 : 0,
      r !== 0 ? -r / 0 : 0
    ).atanh();
  },
  /**
   * Calculate the complex acsch
   *
   * @returns {Complex}
   */
  acsch: function() {
    const e = this.re, r = this.im;
    if (r === 0)
      return new ve(
        e !== 0 ? Math.log(e + Math.sqrt(e * e + 1)) : 1 / 0,
        0
      );
    const t = e * e + r * r;
    return t !== 0 ? new ve(
      e / t,
      -r / t
    ).asinh() : new ve(
      e !== 0 ? e / 0 : 0,
      r !== 0 ? -r / 0 : 0
    ).asinh();
  },
  /**
   * Calculate the complex asech
   *
   * @returns {Complex}
   */
  asech: function() {
    const e = this.re, r = this.im;
    if (this.isZero())
      return ve.INFINITY;
    const t = e * e + r * r;
    return t !== 0 ? new ve(
      e / t,
      -r / t
    ).acosh() : new ve(
      e !== 0 ? e / 0 : 0,
      r !== 0 ? -r / 0 : 0
    ).acosh();
  },
  /**
   * Calculate the complex inverse 1/z
   *
   * @returns {Complex}
   */
  inverse: function() {
    if (this.isZero())
      return ve.INFINITY;
    if (this.isInfinite())
      return ve.ZERO;
    const e = this.re, r = this.im, t = e * e + r * r;
    return new ve(e / t, -r / t);
  },
  /**
   * Returns the complex conjugate
   *
   * @returns {Complex}
   */
  conjugate: function() {
    return new ve(this.re, -this.im);
  },
  /**
   * Gets the negated complex number
   *
   * @returns {Complex}
   */
  neg: function() {
    return new ve(-this.re, -this.im);
  },
  /**
   * Ceils the actual complex number
   *
   * @returns {Complex}
   */
  ceil: function(e) {
    return e = Math.pow(10, e || 0), new ve(
      Math.ceil(this.re * e) / e,
      Math.ceil(this.im * e) / e
    );
  },
  /**
   * Floors the actual complex number
   *
   * @returns {Complex}
   */
  floor: function(e) {
    return e = Math.pow(10, e || 0), new ve(
      Math.floor(this.re * e) / e,
      Math.floor(this.im * e) / e
    );
  },
  /**
   * Ceils the actual complex number
   *
   * @returns {Complex}
   */
  round: function(e) {
    return e = Math.pow(10, e || 0), new ve(
      Math.round(this.re * e) / e,
      Math.round(this.im * e) / e
    );
  },
  /**
   * Compares two complex numbers
   *
   * **Note:** new Complex(Infinity).equals(Infinity) === false
   *
   * @returns {boolean}
   */
  equals: function(e, r) {
    const t = oa(e, r);
    return Math.abs(t.re - this.re) <= ve.EPSILON && Math.abs(t.im - this.im) <= ve.EPSILON;
  },
  /**
   * Clones the actual object
   *
   * @returns {Complex}
   */
  clone: function() {
    return new ve(this.re, this.im);
  },
  /**
   * Gets a string of the actual complex number
   *
   * @returns {string}
   */
  toString: function() {
    let e = this.re, r = this.im, t = "";
    return this.isNaN() ? "NaN" : this.isInfinite() ? "Infinity" : (Math.abs(e) < ve.EPSILON && (e = 0), Math.abs(r) < ve.EPSILON && (r = 0), r === 0 ? t + e : (e !== 0 ? (t += e, t += " ", r < 0 ? (r = -r, t += "-") : t += "+", t += " ") : r < 0 && (r = -r, t += "-"), r !== 1 && (t += r), t + "i"));
  },
  /**
   * Returns the actual number as a vector
   *
   * @returns {Array}
   */
  toVector: function() {
    return [this.re, this.im];
  },
  /**
   * Returns the actual real value of the current object
   *
   * @returns {number|null}
   */
  valueOf: function() {
    return this.im === 0 ? this.re : null;
  },
  /**
   * Determines whether a complex number is not on the Riemann sphere.
   *
   * @returns {boolean}
   */
  isNaN: function() {
    return isNaN(this.re) || isNaN(this.im);
  },
  /**
   * Determines whether or not a complex number is at the zero pole of the
   * Riemann sphere.
   *
   * @returns {boolean}
   */
  isZero: function() {
    return this.im === 0 && this.re === 0;
  },
  /**
   * Determines whether a complex number is not at the infinity pole of the
   * Riemann sphere.
   *
   * @returns {boolean}
   */
  isFinite: function() {
    return isFinite(this.re) && isFinite(this.im);
  },
  /**
   * Determines whether or not a complex number is at the infinity pole of the
   * Riemann sphere.
   *
   * @returns {boolean}
   */
  isInfinite: function() {
    return !this.isFinite();
  }
};
ve.ZERO = new ve(0, 0);
ve.ONE = new ve(1, 0);
ve.I = new ve(0, 1);
ve.PI = new ve(Math.PI, 0);
ve.E = new ve(Math.E, 0);
ve.INFINITY = new ve(1 / 0, 1 / 0);
ve.NAN = new ve(NaN, NaN);
ve.EPSILON = 1e-15;
var JM = "Complex", YM = [], jM = /* @__PURE__ */ P(JM, YM, () => (Object.defineProperty(ve, "name", {
  value: "Complex"
}), ve.prototype.constructor = ve, ve.prototype.type = "Complex", ve.prototype.isComplex = !0, ve.prototype.toJSON = function() {
  return {
    mathjs: "Complex",
    re: this.re,
    im: this.im
  };
}, ve.prototype.toPolar = function() {
  return {
    r: this.abs(),
    phi: this.arg()
  };
}, ve.prototype.format = function(e) {
  var r = "", t = this.im, n = this.re, a = pa(this.re, e), i = pa(this.im, e), o = We(e) ? e : e ? e.precision : null;
  if (o !== null) {
    var l = Math.pow(10, -o);
    Math.abs(n / t) < l && (n = 0), Math.abs(t / n) < l && (t = 0);
  }
  return t === 0 ? r = a : n === 0 ? t === 1 ? r = "i" : t === -1 ? r = "-i" : r = i + "i" : t < 0 ? t === -1 ? r = a + " - i" : r = a + " - " + i.substring(1) + "i" : t === 1 ? r = a + " + i" : r = a + " + " + i + "i", r;
}, ve.fromPolar = function(e) {
  switch (arguments.length) {
    case 1: {
      var r = arguments[0];
      if (typeof r == "object")
        return ve(r);
      throw new TypeError("Input has to be an object with r and phi keys.");
    }
    case 2: {
      var t = arguments[0], n = arguments[1];
      if (We(t)) {
        if (ft(n) && n.hasBase("ANGLE") && (n = n.toNumber("rad")), We(n))
          return new ve({
            r: t,
            phi: n
          });
        throw new TypeError("Phi is not a number nor an angle unit.");
      } else
        throw new TypeError("Radius r is not a number.");
    }
    default:
      throw new SyntaxError("Wrong number of arguments in function fromPolar");
  }
}, ve.prototype.valueOf = ve.prototype.toString, ve.fromJSON = function(e) {
  return new ve(e);
}, ve.compare = function(e, r) {
  return e.re > r.re ? 1 : e.re < r.re ? -1 : e.im > r.im ? 1 : e.im < r.im ? -1 : 0;
}, ve), {
  isClass: !0
});
/**
 * @license Fraction.js v4.3.7 31/08/2023
 * https://www.xarg.org/2014/03/rational-numbers-in-javascript/
 *
 * Copyright (c) 2023, Robert Eisele (robert@raw.org)
 * Dual licensed under the MIT or GPL Version 2 licenses.
 **/
var XM = 2e3, Te = {
  s: 1,
  n: 0,
  d: 1
};
function cn(e, r) {
  if (isNaN(e = parseInt(e, 10)))
    throw Po();
  return e * r;
}
function Mr(e, r) {
  if (r === 0)
    throw ql();
  var t = Object.create(Yr.prototype);
  t.s = e < 0 ? -1 : 1, e = e < 0 ? -e : e;
  var n = Pa(e, r);
  return t.n = e / n, t.d = r / n, t;
}
function Kf(e) {
  for (var r = {}, t = e, n = 2, a = 4; a <= t; ) {
    for (; t % n === 0; )
      t /= n, r[n] = (r[n] || 0) + 1;
    a += 1 + 2 * n++;
  }
  return t !== e ? t > 1 && (r[t] = (r[t] || 0) + 1) : r[e] = (r[e] || 0) + 1, r;
}
var yt = function(e, r) {
  var t = 0, n = 1, a = 1, i = 0, o = 0, l = 0, u = 1, s = 1, c = 0, f = 1, d = 1, p = 1, m = 1e7, v;
  if (e != null) if (r !== void 0) {
    if (t = e, n = r, a = t * n, t % 1 !== 0 || n % 1 !== 0)
      throw t_();
  } else
    switch (typeof e) {
      case "object": {
        if ("d" in e && "n" in e)
          t = e.n, n = e.d, "s" in e && (t *= e.s);
        else if (0 in e)
          t = e[0], 1 in e && (n = e[1]);
        else
          throw Po();
        a = t * n;
        break;
      }
      case "number": {
        if (e < 0 && (a = e, e = -e), e % 1 === 0)
          t = e;
        else if (e > 0) {
          for (e >= 1 && (s = Math.pow(10, Math.floor(1 + Math.log(e) / Math.LN10)), e /= s); f <= m && p <= m; )
            if (v = (c + d) / (f + p), e === v) {
              f + p <= m ? (t = c + d, n = f + p) : p > f ? (t = d, n = p) : (t = c, n = f);
              break;
            } else
              e > v ? (c += d, f += p) : (d += c, p += f), f > m ? (t = d, n = p) : (t = c, n = f);
          t *= s;
        } else (isNaN(e) || isNaN(r)) && (n = t = NaN);
        break;
      }
      case "string": {
        if (f = e.match(/\d+|./g), f === null)
          throw Po();
        if (f[c] === "-" ? (a = -1, c++) : f[c] === "+" && c++, f.length === c + 1 ? o = cn(f[c++], a) : f[c + 1] === "." || f[c] === "." ? (f[c] !== "." && (i = cn(f[c++], a)), c++, (c + 1 === f.length || f[c + 1] === "(" && f[c + 3] === ")" || f[c + 1] === "'" && f[c + 3] === "'") && (o = cn(f[c], a), u = Math.pow(10, f[c].length), c++), (f[c] === "(" && f[c + 2] === ")" || f[c] === "'" && f[c + 2] === "'") && (l = cn(f[c + 1], a), s = Math.pow(10, f[c + 1].length) - 1, c += 3)) : f[c + 1] === "/" || f[c + 1] === ":" ? (o = cn(f[c], a), u = cn(f[c + 2], 1), c += 3) : f[c + 3] === "/" && f[c + 1] === " " && (i = cn(f[c], a), o = cn(f[c + 2], a), u = cn(f[c + 4], 1), c += 5), f.length <= c) {
          n = u * s, a = /* void */
          t = l + n * i + s * o;
          break;
        }
      }
      default:
        throw Po();
    }
  if (n === 0)
    throw ql();
  Te.s = a < 0 ? -1 : 1, Te.n = Math.abs(t), Te.d = Math.abs(n);
};
function QM(e, r, t) {
  for (var n = 1; r > 0; e = e * e % t, r >>= 1)
    r & 1 && (n = n * e % t);
  return n;
}
function e_(e, r) {
  for (; r % 2 === 0; r /= 2)
    ;
  for (; r % 5 === 0; r /= 5)
    ;
  if (r === 1)
    return 0;
  for (var t = 10 % r, n = 1; t !== 1; n++)
    if (t = t * 10 % r, n > XM)
      return 0;
  return n;
}
function r_(e, r, t) {
  for (var n = 1, a = QM(10, t, r), i = 0; i < 300; i++) {
    if (n === a)
      return i;
    n = n * 10 % r, a = a * 10 % r;
  }
  return 0;
}
function Pa(e, r) {
  if (!e)
    return r;
  if (!r)
    return e;
  for (; ; ) {
    if (e %= r, !e)
      return r;
    if (r %= e, !r)
      return e;
  }
}
function Yr(e, r) {
  if (yt(e, r), this instanceof Yr)
    e = Pa(Te.d, Te.n), this.s = Te.s, this.n = Te.n / e, this.d = Te.d / e;
  else
    return Mr(Te.s * Te.n, Te.d);
}
var ql = function() {
  return new Error("Division by Zero");
}, Po = function() {
  return new Error("Invalid argument");
}, t_ = function() {
  return new Error("Parameters must be integer");
};
Yr.prototype = {
  s: 1,
  n: 0,
  d: 1,
  /**
   * Calculates the absolute value
   *
   * Ex: new Fraction(-4).abs() => 4
   **/
  abs: function() {
    return Mr(this.n, this.d);
  },
  /**
   * Inverts the sign of the current fraction
   *
   * Ex: new Fraction(-4).neg() => 4
   **/
  neg: function() {
    return Mr(-this.s * this.n, this.d);
  },
  /**
   * Adds two rational numbers
   *
   * Ex: new Fraction({n: 2, d: 3}).add("14.9") => 467 / 30
   **/
  add: function(e, r) {
    return yt(e, r), Mr(
      this.s * this.n * Te.d + Te.s * this.d * Te.n,
      this.d * Te.d
    );
  },
  /**
   * Subtracts two rational numbers
   *
   * Ex: new Fraction({n: 2, d: 3}).add("14.9") => -427 / 30
   **/
  sub: function(e, r) {
    return yt(e, r), Mr(
      this.s * this.n * Te.d - Te.s * this.d * Te.n,
      this.d * Te.d
    );
  },
  /**
   * Multiplies two rational numbers
   *
   * Ex: new Fraction("-17.(345)").mul(3) => 5776 / 111
   **/
  mul: function(e, r) {
    return yt(e, r), Mr(
      this.s * Te.s * this.n * Te.n,
      this.d * Te.d
    );
  },
  /**
   * Divides two rational numbers
   *
   * Ex: new Fraction("-17.(345)").inverse().div(3)
   **/
  div: function(e, r) {
    return yt(e, r), Mr(
      this.s * Te.s * this.n * Te.d,
      this.d * Te.n
    );
  },
  /**
   * Clones the actual object
   *
   * Ex: new Fraction("-17.(345)").clone()
   **/
  clone: function() {
    return Mr(this.s * this.n, this.d);
  },
  /**
   * Calculates the modulo of two rational numbers - a more precise fmod
   *
   * Ex: new Fraction('4.(3)').mod([7, 8]) => (13/3) % (7/8) = (5/6)
   **/
  mod: function(e, r) {
    if (isNaN(this.n) || isNaN(this.d))
      return new Yr(NaN);
    if (e === void 0)
      return Mr(this.s * this.n % this.d, 1);
    if (yt(e, r), Te.n === 0 && this.d === 0)
      throw ql();
    return Mr(
      this.s * (Te.d * this.n) % (Te.n * this.d),
      Te.d * this.d
    );
  },
  /**
   * Calculates the fractional gcd of two rational numbers
   *
   * Ex: new Fraction(5,8).gcd(3,7) => 1/56
   */
  gcd: function(e, r) {
    return yt(e, r), Mr(Pa(Te.n, this.n) * Pa(Te.d, this.d), Te.d * this.d);
  },
  /**
   * Calculates the fractional lcm of two rational numbers
   *
   * Ex: new Fraction(5,8).lcm(3,7) => 15
   */
  lcm: function(e, r) {
    return yt(e, r), Te.n === 0 && this.n === 0 ? Mr(0, 1) : Mr(Te.n * this.n, Pa(Te.n, this.n) * Pa(Te.d, this.d));
  },
  /**
   * Calculates the ceil of a rational number
   *
   * Ex: new Fraction('4.(3)').ceil() => (5 / 1)
   **/
  ceil: function(e) {
    return e = Math.pow(10, e || 0), isNaN(this.n) || isNaN(this.d) ? new Yr(NaN) : Mr(Math.ceil(e * this.s * this.n / this.d), e);
  },
  /**
   * Calculates the floor of a rational number
   *
   * Ex: new Fraction('4.(3)').floor() => (4 / 1)
   **/
  floor: function(e) {
    return e = Math.pow(10, e || 0), isNaN(this.n) || isNaN(this.d) ? new Yr(NaN) : Mr(Math.floor(e * this.s * this.n / this.d), e);
  },
  /**
   * Rounds a rational number
   *
   * Ex: new Fraction('4.(3)').round() => (4 / 1)
   **/
  round: function(e) {
    return e = Math.pow(10, e || 0), isNaN(this.n) || isNaN(this.d) ? new Yr(NaN) : Mr(Math.round(e * this.s * this.n / this.d), e);
  },
  /**
   * Rounds a rational number to a multiple of another rational number
   *
   * Ex: new Fraction('0.9').roundTo("1/8") => 7 / 8
   **/
  roundTo: function(e, r) {
    return yt(e, r), Mr(this.s * Math.round(this.n * Te.d / (this.d * Te.n)) * Te.n, Te.d);
  },
  /**
   * Gets the inverse of the fraction, means numerator and denominator are exchanged
   *
   * Ex: new Fraction([-3, 4]).inverse() => -4 / 3
   **/
  inverse: function() {
    return Mr(this.s * this.d, this.n);
  },
  /**
   * Calculates the fraction to some rational exponent, if possible
   *
   * Ex: new Fraction(-1,2).pow(-3) => -8
   */
  pow: function(e, r) {
    if (yt(e, r), Te.d === 1)
      return Te.s < 0 ? Mr(Math.pow(this.s * this.d, Te.n), Math.pow(this.n, Te.n)) : Mr(Math.pow(this.s * this.n, Te.n), Math.pow(this.d, Te.n));
    if (this.s < 0) return null;
    var t = Kf(this.n), n = Kf(this.d), a = 1, i = 1;
    for (var o in t)
      if (o !== "1") {
        if (o === "0") {
          a = 0;
          break;
        }
        if (t[o] *= Te.n, t[o] % Te.d === 0)
          t[o] /= Te.d;
        else return null;
        a *= Math.pow(o, t[o]);
      }
    for (var o in n)
      if (o !== "1") {
        if (n[o] *= Te.n, n[o] % Te.d === 0)
          n[o] /= Te.d;
        else return null;
        i *= Math.pow(o, n[o]);
      }
    return Te.s < 0 ? Mr(i, a) : Mr(a, i);
  },
  /**
   * Check if two rational numbers are the same
   *
   * Ex: new Fraction(19.6).equals([98, 5]);
   **/
  equals: function(e, r) {
    return yt(e, r), this.s * this.n * Te.d === Te.s * Te.n * this.d;
  },
  /**
   * Check if two rational numbers are the same
   *
   * Ex: new Fraction(19.6).equals([98, 5]);
   **/
  compare: function(e, r) {
    yt(e, r);
    var t = this.s * this.n * Te.d - Te.s * Te.n * this.d;
    return (0 < t) - (t < 0);
  },
  simplify: function(e) {
    if (isNaN(this.n) || isNaN(this.d))
      return this;
    e = e || 1e-3;
    for (var r = this.abs(), t = r.toContinued(), n = 1; n < t.length; n++) {
      for (var a = Mr(t[n - 1], 1), i = n - 2; i >= 0; i--)
        a = a.inverse().add(t[i]);
      if (Math.abs(a.sub(r).valueOf()) < e)
        return a.mul(this.s);
    }
    return this;
  },
  /**
   * Check if two rational numbers are divisible
   *
   * Ex: new Fraction(19.6).divisible(1.5);
   */
  divisible: function(e, r) {
    return yt(e, r), !(!(Te.n * this.d) || this.n * Te.d % (Te.n * this.d));
  },
  /**
   * Returns a decimal representation of the fraction
   *
   * Ex: new Fraction("100.'91823'").valueOf() => 100.91823918239183
   **/
  valueOf: function() {
    return this.s * this.n / this.d;
  },
  /**
   * Returns a string-fraction representation of a Fraction object
   *
   * Ex: new Fraction("1.'3'").toFraction(true) => "4 1/3"
   **/
  toFraction: function(e) {
    var r, t = "", n = this.n, a = this.d;
    return this.s < 0 && (t += "-"), a === 1 ? t += n : (e && (r = Math.floor(n / a)) > 0 && (t += r, t += " ", n %= a), t += n, t += "/", t += a), t;
  },
  /**
   * Returns a latex representation of a Fraction object
   *
   * Ex: new Fraction("1.'3'").toLatex() => "\frac{4}{3}"
   **/
  toLatex: function(e) {
    var r, t = "", n = this.n, a = this.d;
    return this.s < 0 && (t += "-"), a === 1 ? t += n : (e && (r = Math.floor(n / a)) > 0 && (t += r, n %= a), t += "\\frac{", t += n, t += "}{", t += a, t += "}"), t;
  },
  /**
   * Returns an array of continued fraction elements
   *
   * Ex: new Fraction("7/8").toContinued() => [0,1,7]
   */
  toContinued: function() {
    var e, r = this.n, t = this.d, n = [];
    if (isNaN(r) || isNaN(t))
      return n;
    do
      n.push(Math.floor(r / t)), e = r % t, r = t, t = e;
    while (r !== 1);
    return n;
  },
  /**
   * Creates a string representation of a fraction with all digits
   *
   * Ex: new Fraction("100.'91823'").toString() => "100.(91823)"
   **/
  toString: function(e) {
    var r = this.n, t = this.d;
    if (isNaN(r) || isNaN(t))
      return "NaN";
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    if (i += r / t | 0, r %= t, r *= 10, r && (i += "."), n) {
      for (var o = a; o--; )
        i += r / t | 0, r %= t, r *= 10;
      i += "(";
      for (var o = n; o--; )
        i += r / t | 0, r %= t, r *= 10;
      i += ")";
    } else
      for (var o = e; r && o--; )
        i += r / t | 0, r %= t, r *= 10;
    return i;
  }
};
var n_ = "Fraction", a_ = [], i_ = /* @__PURE__ */ P(n_, a_, () => (Object.defineProperty(Yr, "name", {
  value: "Fraction"
}), Yr.prototype.constructor = Yr, Yr.prototype.type = "Fraction", Yr.prototype.isFraction = !0, Yr.prototype.toJSON = function() {
  return {
    mathjs: "Fraction",
    n: this.s * this.n,
    d: this.d
  };
}, Yr.fromJSON = function(e) {
  return new Yr(e);
}, Yr), {
  isClass: !0
}), o_ = "Range", s_ = [], u_ = /* @__PURE__ */ P(o_, s_, () => {
  function e(r, t, n) {
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      throw new SyntaxError("Constructor must be called with the new operator");
    var a = r != null, i = t != null, o = n != null;
    if (a) {
      if (Ze(r))
        r = r.toNumber();
      else if (typeof r != "number")
        throw new TypeError("Parameter start must be a number");
    }
    if (i) {
      if (Ze(t))
        t = t.toNumber();
      else if (typeof t != "number")
        throw new TypeError("Parameter end must be a number");
    }
    if (o) {
      if (Ze(n))
        n = n.toNumber();
      else if (typeof n != "number")
        throw new TypeError("Parameter step must be a number");
    }
    this.start = a ? parseFloat(r) : 0, this.end = i ? parseFloat(t) : 0, this.step = o ? parseFloat(n) : 1;
  }
  return e.prototype.type = "Range", e.prototype.isRange = !0, e.parse = function(r) {
    if (typeof r != "string")
      return null;
    var t = r.split(":"), n = t.map(function(i) {
      return parseFloat(i);
    }), a = n.some(function(i) {
      return isNaN(i);
    });
    if (a)
      return null;
    switch (n.length) {
      case 2:
        return new e(n[0], n[1]);
      case 3:
        return new e(n[0], n[2], n[1]);
      default:
        return null;
    }
  }, e.prototype.clone = function() {
    return new e(this.start, this.end, this.step);
  }, e.prototype.size = function() {
    var r = 0, t = this.start, n = this.step, a = this.end, i = a - t;
    return Vn(n) === Vn(i) ? r = Math.ceil(i / n) : i === 0 && (r = 0), isNaN(r) && (r = 0), [r];
  }, e.prototype.min = function() {
    var r = this.size()[0];
    if (r > 0)
      return this.step > 0 ? this.start : this.start + (r - 1) * this.step;
  }, e.prototype.max = function() {
    var r = this.size()[0];
    if (r > 0)
      return this.step > 0 ? this.start + (r - 1) * this.step : this.start;
  }, e.prototype.forEach = function(r) {
    var t = this.start, n = this.step, a = this.end, i = 0;
    if (n > 0)
      for (; t < a; )
        r(t, [i], this), t += n, i++;
    else if (n < 0)
      for (; t > a; )
        r(t, [i], this), t += n, i++;
  }, e.prototype.map = function(r) {
    var t = [];
    return this.forEach(function(n, a, i) {
      t[a[0]] = r(n, a, i);
    }), t;
  }, e.prototype.toArray = function() {
    var r = [];
    return this.forEach(function(t, n) {
      r[n[0]] = t;
    }), r;
  }, e.prototype.valueOf = function() {
    return this.toArray();
  }, e.prototype.format = function(r) {
    var t = pa(this.start, r);
    return this.step !== 1 && (t += ":" + pa(this.step, r)), t += ":" + pa(this.end, r), t;
  }, 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(r) {
    return new e(r.start, r.end, r.step);
  }, e;
}, {
  isClass: !0
}), l_ = "Matrix", c_ = [], f_ = /* @__PURE__ */ P(l_, c_, () => {
  function e() {
    if (!(this instanceof e))
      throw new SyntaxError("Constructor must be called with the new operator");
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  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(r, t) {
    throw new Error("Cannot invoke create on a Matrix interface");
  }, e.prototype.subset = function(r, t, n) {
    throw new Error("Cannot invoke subset on a Matrix interface");
  }, e.prototype.get = function(r) {
    throw new Error("Cannot invoke get on a Matrix interface");
  }, e.prototype.set = function(r, t, n) {
    throw new Error("Cannot invoke set on a Matrix interface");
  }, e.prototype.resize = function(r, t) {
    throw new Error("Cannot invoke resize on a Matrix interface");
  }, e.prototype.reshape = function(r, 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(r, t) {
    throw new Error("Cannot invoke map on a Matrix interface");
  }, e.prototype.forEach = function(r) {
    throw new Error("Cannot invoke forEach on a Matrix interface");
  }, e.prototype[Symbol.iterator] = function() {
    throw new Error("Cannot iterate 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(r) {
    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
});
function fu(e, r, t) {
  var n = e.constructor, a = new n(2), i = "";
  if (t) {
    if (t < 1)
      throw new Error("size must be in greater than 0");
    if (!Oe(t))
      throw new Error("size must be an integer");
    if (e.greaterThan(a.pow(t - 1).sub(1)) || e.lessThan(a.pow(t - 1).mul(-1)))
      throw new Error("Value must be in range [-2^".concat(t - 1, ", 2^").concat(t - 1, "-1]"));
    if (!e.isInteger())
      throw new Error("Value must be an integer");
    e.lessThan(0) && (e = e.add(a.pow(t))), i = "i".concat(t);
  }
  switch (r) {
    case 2:
      return "".concat(e.toBinary()).concat(i);
    case 8:
      return "".concat(e.toOctal()).concat(i);
    case 16:
      return "".concat(e.toHexadecimal()).concat(i);
    default:
      throw new Error("Base ".concat(r, " not supported "));
  }
}
function d_(e, r) {
  if (typeof r == "function")
    return r(e);
  if (!e.isFinite())
    return e.isNaN() ? "NaN" : e.gt(0) ? "Infinity" : "-Infinity";
  var {
    notation: t,
    precision: n,
    wordSize: a
  } = ng(r);
  switch (t) {
    case "fixed":
      return m_(e, n);
    case "exponential":
      return Jf(e, n);
    case "engineering":
      return p_(e, n);
    case "bin":
      return fu(e, 2, a);
    case "oct":
      return fu(e, 8, a);
    case "hex":
      return fu(e, 16, a);
    case "auto": {
      var i = Yf(r == null ? void 0 : r.lowerExp, -3), o = Yf(r == null ? void 0 : r.upperExp, 5);
      if (e.isZero()) return "0";
      var l, u = e.toSignificantDigits(n), s = u.e;
      return s >= i && s < o ? l = u.toFixed() : l = Jf(e, n), l.replace(/((\.\d*?)(0+))($|e)/, function() {
        var c = arguments[2], f = arguments[4];
        return c !== "." ? c + f : f;
      });
    }
    default:
      throw new Error('Unknown notation "' + t + '". Choose "auto", "exponential", "fixed", "bin", "oct", or "hex.');
  }
}
function p_(e, r) {
  var t = e.e, n = t % 3 === 0 ? t : t < 0 ? t - 3 - t % 3 : t - t % 3, a = e.mul(Math.pow(10, -n)), i = a.toPrecision(r);
  if (i.includes("e")) {
    var o = e.constructor;
    i = new o(i).toFixed();
  }
  return i + "e" + (t >= 0 ? "+" : "") + n.toString();
}
function Jf(e, r) {
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}
function m_(e, r) {
  return e.toFixed(r);
}
function Yf(e, r) {
  return We(e) ? e : Ze(e) ? e.toNumber() : r;
}
function v_(e, r) {
  var t = e.length - r.length, n = e.length;
  return e.substring(t, n) === r;
}
function Qe(e, r) {
  var t = h_(e, r);
  return r && typeof r == "object" && "truncate" in r && t.length > r.truncate ? t.substring(0, r.truncate - 3) + "..." : t;
}
function h_(e, r) {
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  if (Ze(e))
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    return yg(e, r);
  if (Vr(e))
    return za(e);
  if (typeof e == "function")
    return e.syntax ? String(e.syntax) : "function";
  if (e && typeof e == "object") {
    if (typeof e.format == "function")
      return e.format(r);
    if (e && e.toString(r) !== {}.toString())
      return e.toString(r);
    var t = Object.keys(e).map((n) => za(n) + ": " + Qe(e[n], r));
    return "{" + t.join(", ") + "}";
  }
  return String(e);
}
function za(e) {
  for (var r = String(e), t = "", n = 0; n < r.length; ) {
    var a = r.charAt(n);
    t += a in jf ? jf[a] : a, n++;
  }
  return '"' + t + '"';
}
var jf = {
  '"': '\\"',
  "\\": "\\\\",
  "\b": "\\b",
  "\f": "\\f",
  "\n": "\\n",
  "\r": "\\r",
  "	": "\\t"
};
function Mt(e) {
  var r = String(e);
  return r = r.replace(/&/g, "&amp;").replace(/"/g, "&quot;").replace(/'/g, "&#39;").replace(/</g, "&lt;").replace(/>/g, "&gt;"), r;
}
function yg(e, r) {
  if (Array.isArray(e)) {
    for (var t = "[", n = e.length, a = 0; a < n; a++)
      a !== 0 && (t += ", "), t += yg(e[a], r);
    return t += "]", t;
  } else
    return Qe(e, r);
}
function g_(e) {
  return e && typeof e == "object" && typeof e.s == "number" && typeof e.n == "number" && typeof e.d == "number" || !1;
}
function ku(e, r) {
  if (!Vr(e))
    throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: " + yr(e) + ", index: 0)");
  if (!Vr(r))
    throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: " + yr(r) + ", index: 1)");
  return e === r ? 0 : e > r ? 1 : -1;
}
function Ye(e, r, t) {
  if (!(this instanceof Ye))
    throw new SyntaxError("Constructor must be called with the new operator");
  this.actual = e, this.expected = r, this.relation = t, this.message = "Dimension mismatch (" + (Array.isArray(e) ? "[" + e.join(", ") + "]" : e) + " " + (this.relation || "!=") + " " + (Array.isArray(r) ? "[" + r.join(", ") + "]" : r) + ")", this.stack = new Error().stack;
}
Ye.prototype = new RangeError();
Ye.prototype.constructor = RangeError;
Ye.prototype.name = "DimensionError";
Ye.prototype.isDimensionError = !0;
function $t(e, r, t) {
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  this.index = e, arguments.length < 3 ? (this.min = 0, this.max = r) : (this.min = r, this.max = t), this.min !== void 0 && this.index < this.min ? this.message = "Index out of range (" + this.index + " < " + this.min + ")" : this.max !== void 0 && this.index >= this.max ? this.message = "Index out of range (" + this.index + " > " + (this.max - 1) + ")" : this.message = "Index out of range (" + this.index + ")", this.stack = new Error().stack;
}
$t.prototype = new RangeError();
$t.prototype.constructor = RangeError;
$t.prototype.name = "IndexError";
$t.prototype.isIndexError = !0;
function ke(e) {
  for (var r = []; Array.isArray(e); )
    r.push(e.length), e = e[0];
  return r;
}
function bg(e, r, t) {
  var n, a = e.length;
  if (a !== r[t])
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  if (t < r.length - 1) {
    var i = t + 1;
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      var o = e[n];
      if (!Array.isArray(o))
        throw new Ye(r.length - 1, r.length, "<");
      bg(e[n], r, i);
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    for (n = 0; n < a; n++)
      if (Array.isArray(e[n]))
        throw new Ye(r.length + 1, r.length, ">");
}
function Xf(e, r) {
  var t = r.length === 0;
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      throw new Ye(e.length, 0);
  } else
    bg(e, r, 0);
}
function Jo(e, r) {
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      throw new Ye(a, t[i]);
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}
function gr(e, r) {
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      throw new $t(e, r);
  }
}
function ei(e) {
  for (var r = 0; r < e._dimensions.length; ++r) {
    var t = e._dimensions[r];
    if (t._data && cr(t._data)) {
      if (t._size[0] === 0)
        return !0;
    } else if (t.isRange) {
      if (t.start === t.end)
        return !0;
    } else if (Vr(t) && t.length === 0)
      return !0;
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  return !1;
}
function ri(e, r, t) {
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  if (r.length === 0)
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    if (!We(a) || !Oe(a) || a < 0)
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  }), (We(e) || Ze(e)) && (e = [e]);
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  return Vu(e, r, 0, n), e;
}
function Vu(e, r, t, n) {
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    var s = t + 1;
    for (a = 0; a < u; a++)
      i = e[a], Array.isArray(i) || (i = [i], e[a] = i), Vu(i, r, s, n);
    for (a = u; a < l; a++)
      i = [], e[a] = i, Vu(i, r, s, n);
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    for (a = 0; a < u; a++)
      for (; Array.isArray(e[a]); )
        e[a] = e[a][0];
    for (a = u; a < l; a++)
      e[a] = n;
  }
}
function Ll(e, r) {
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  }
}
function Ul(e, r) {
  var t = wg(e), n = e.slice(), a = -1, i = e.indexOf(a), o = e.indexOf(a, i + 1) >= 0;
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  var l = i >= 0, u = r % t === 0;
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    if (u)
      n[i] = -r / t;
    else
      throw new Error("Could not replace wildcard, since " + r + " is no multiple of " + -t);
  return n;
}
function wg(e) {
  return e.reduce((r, t) => r * t, 1);
}
function y_(e, r) {
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    var i = r[a];
    n = [];
    for (var o = t.length / i, l = 0; l < o; l++)
      n.push(t.slice(l * i, (l + 1) * i));
    t = n;
  }
  return t;
}
function Yo(e, r) {
  for (var t = ke(e); Array.isArray(e) && e.length === 1; )
    e = e[0], t.shift();
  for (var n = t.length; t[n - 1] === 1; )
    n--;
  return n < t.length && (e = xg(e, n, 0), t.length = n), e;
}
function xg(e, r, t) {
  var n, a;
  if (t < r) {
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    for (; Array.isArray(e); )
      e = e[0];
  return e;
}
function Ag(e, r, t, n) {
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    a.push(1);
  return e;
}
function Ng(e, r, t) {
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      e[n] = Ng(e[n], r, i);
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    for (var o = t; o < r; o++)
      e = [e];
  return e;
}
function sr(e) {
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    Array.isArray(n) ? n.forEach(t) : r.push(n);
  }), r;
}
function Wn(e, r) {
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}
function Dg(e, r) {
  Array.prototype.forEach.call(e, r);
}
function b_(e, r) {
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    throw new Error("Only one dimensional matrices supported");
  return Array.prototype.filter.call(e, r);
}
function Qf(e, r) {
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    throw new Error("Only one dimensional matrices supported");
  return Array.prototype.filter.call(e, (t) => r.test(t));
}
function ed(e, r) {
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}
function ti(e) {
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    throw new TypeError("Array input expected");
  if (e.length === 0)
    return e;
  var r = [], t = 0;
  r[0] = {
    value: e[0],
    identifier: 0
  };
  for (var n = 1; n < e.length; n++)
    e[n] === e[n - 1] ? t++ : t = 0, r.push({
      value: e[n],
      identifier: t
    });
  return r;
}
function jo(e) {
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    throw new TypeError("Array input expected");
  if (e.length === 0)
    return e;
  for (var r = [], t = 0; t < e.length; t++)
    r.push(e[t].value);
  return r;
}
function Bs(e, r) {
  for (var t, n = 0, a = 0; a < e.length; a++) {
    var i = e[a], o = Array.isArray(i);
    if (a === 0 && o && (n = i.length), o && i.length !== n)
      return;
    var l = o ? Bs(i, r) : r(i);
    if (t === void 0)
      t = l;
    else if (t !== l)
      return "mixed";
  }
  return t;
}
function Eg(e, r, t, n) {
  if (n < t) {
    if (e.length !== r.length)
      throw new Ye(e.length, r.length);
    for (var a = [], i = 0; i < e.length; i++)
      a[i] = Eg(e[i], r[i], t, n + 1);
    return a;
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    return e.concat(r);
}
function Sg() {
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    return e[0];
  if (e.length > 1)
    return e.slice(1).reduce(function(t, n) {
      return Eg(t, n, r, 0);
    }, e[0]);
  throw new Error("Wrong number of arguments in function concat");
}
function kl() {
  for (var e = arguments.length, r = new Array(e), t = 0; t < e; t++)
    r[t] = arguments[t];
  for (var n = r.map((d) => d.length), a = Math.max(...n), i = new Array(a).fill(null), o = 0; o < r.length; o++)
    for (var l = r[o], u = n[o], s = 0; s < u; s++) {
      var c = a - u + s;
      l[s] > i[c] && (i[c] = l[s]);
    }
  for (var f = 0; f < r.length; f++)
    Cg(r[f], i);
  return i;
}
function Cg(e, r) {
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    var i = t - n + a;
    if (e[a] < r[i] && e[a] > 1 || e[a] > r[i])
      throw new Error("shape missmatch: missmatch is found in arg with shape (".concat(e, ") not possible to broadcast dimension ").concat(n, " with size ").concat(e[a], " to size ").concat(r[i]));
  }
}
function ua(e, r) {
  var t = ke(e);
  if (Sn(t, r))
    return e;
  Cg(t, r);
  var n = kl(t, r), a = n.length, i = [...Array(a - t.length).fill(1), ...t], o = x_(e);
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    t[l] < n[l] && (o = w_(o, n[l], l), t = ke(o));
  return o;
}
function w_(e, r, t) {
  return Sg(...Array(r).fill(e), t);
}
function Vl(e, r) {
  if (!Array.isArray(e))
    throw new Error("Array expected");
  var t = ke(e);
  if (r.length !== t.length)
    throw new Ye(r.length, t.length);
  for (var n = 0; n < r.length; n++)
    gr(r[n], t[n]);
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}
function Hl(e, r, t, n) {
  return Array.isArray(e) ? e.map(function(a, i) {
    return Hl(a, r.concat(i), t, n);
  }) : n(e, r, t);
}
function x_(e) {
  return jr([], e);
}
function ha(e, r, t) {
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    var n = (r.isMatrix ? r.size() : ke(r)).map(() => 0), a = r.isMatrix ? r.get(n) : Vl(r, n), i = Object.keys(e.signatures).length === 1, o = A_(e, a, n, r), l = i ? Object.values(e.signatures)[0] : e;
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      for (var u = arguments.length, s = new Array(u), c = 0; c < u; c++)
        s[c] = arguments[c];
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        s[c] = arguments[c];
      return rd(l, s, t, e.name);
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  return e;
}
function A_(e, r, t, n) {
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    var o = a.slice(0, i);
    if (Pi.resolve(e, o) !== null)
      return i;
  }
}
function rd(e, r, t, n) {
  try {
    return e(...r);
  } catch (a) {
    N_(a, r, t, n);
  }
}
function N_(e, r, t, n) {
  var a;
  if (e instanceof TypeError && ((a = e.data) === null || a === void 0 ? void 0 : a.category) === "wrongType") {
    var i = [];
    throw i.push("value: ".concat(yr(r[0]))), r.length >= 2 && i.push("index: ".concat(yr(r[1]))), r.length >= 3 && i.push("array: ".concat(yr(r[2]))), new TypeError("Function ".concat(t, " cannot apply callback arguments ") + "".concat(n, "(").concat(i.join(", "), ") at index ").concat(JSON.stringify(r[1])));
  } else
    throw new TypeError("Function ".concat(t, " cannot apply callback arguments ") + "to function ".concat(n, ": ").concat(e.message));
}
var D_ = "DenseMatrix", E_ = ["Matrix"], S_ = /* @__PURE__ */ P(D_, E_, (e) => {
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    Matrix: r
  } = e;
  function t(c, f) {
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    if (f && !Vr(f))
      throw new Error("Invalid datatype: " + f);
    if (ze(c))
      c.type === "DenseMatrix" ? (this._data = qe(c._data), this._size = qe(c._size), this._datatype = f || c._datatype) : (this._data = c.toArray(), this._size = c.size(), this._datatype = f || c._datatype);
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      this._data = c.data, this._size = c.size, Xf(this._data, this._size), this._datatype = f || c.datatype;
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      this._data = s(c), this._size = ke(this._data), Xf(this._data, this._size), this._datatype = f;
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      if (c)
        throw new TypeError("Unsupported type of data (" + yr(c) + ")");
      this._data = [], this._size = [0], this._datatype = f;
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  }
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    return new t(c, f);
  }, Object.defineProperty(t, "name", {
    value: "DenseMatrix"
  }), t.prototype.constructor = t, t.prototype.type = "DenseMatrix", t.prototype.isDenseMatrix = !0, t.prototype.getDataType = function() {
    return Bs(this._data, yr);
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    return "dense";
  }, t.prototype.datatype = function() {
    return this._datatype;
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    return new t(c, f);
  }, t.prototype.subset = function(c, f, d) {
    switch (arguments.length) {
      case 1:
        return n(this, c);
      case 2:
      case 3:
        return i(this, c, f, d);
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        throw new SyntaxError("Wrong number of arguments");
    }
  }, t.prototype.get = function(c) {
    return Vl(this._data, c);
  }, t.prototype.set = function(c, f, d) {
    if (!cr(c))
      throw new TypeError("Array expected");
    if (c.length < this._size.length)
      throw new Ye(c.length, this._size.length, "<");
    var p, m, v, b = c.map(function(A) {
      return A + 1;
    });
    u(this, b, d);
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    for (p = 0, m = c.length - 1; p < m; p++)
      v = c[p], gr(v, y.length), y = y[v];
    return v = c[c.length - 1], gr(v, y.length), y[v] = f, this;
  };
  function n(c, f) {
    if (!Gi(f))
      throw new TypeError("Invalid index");
    var d = f.isScalar();
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      throw new Ye(p.length, c._size.length);
    for (var m = f.min(), v = f.max(), b = 0, y = c._size.length; b < y; b++)
      gr(m[b], c._size[b]), gr(v[b], c._size[b]);
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  function a(c, f, d, p) {
    var m = p === d - 1, v = f.dimension(p);
    return m ? v.map(function(b) {
      return gr(b, c.length), c[b];
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      gr(b, c.length);
      var y = c[b];
      return a(y, f, d, p + 1);
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  function i(c, f, d, p) {
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    var m = f.size(), v = f.isScalar(), b;
    if (ze(d) ? (b = d.size(), d = d.valueOf()) : b = ke(d), v) {
      if (b.length !== 0)
        throw new TypeError("Scalar expected");
      c.set(f.min(), d, p);
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      if (!Sn(b, m))
        try {
          b.length === 0 ? d = ua([d], m) : d = ua(d, m), b = ke(d);
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        }
      if (m.length < c._size.length)
        throw new Ye(m.length, c._size.length, "<");
      if (b.length < m.length) {
        for (var y = 0, A = 0; m[y] === 1 && b[y] === 1; )
          y++;
        for (; m[y] === 1; )
          A++, y++;
        d = Ag(d, m.length, A, b);
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      if (!Sn(m, b))
        throw new Ye(m, b, ">");
      var h = f.max().map(function(g) {
        return g + 1;
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      u(c, h, p);
      var x = m.length, w = 0;
      o(c._data, f, d, x, w);
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    return c;
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  function o(c, f, d, p, m) {
    var v = m === p - 1, b = f.dimension(m);
    v ? b.forEach(function(y, A) {
      gr(y), c[y] = d[A[0]];
    }) : b.forEach(function(y, A) {
      gr(y), o(c[y], f, d[A[0]], p, m + 1);
    });
  }
  t.prototype.resize = function(c, f, d) {
    if (!At(c))
      throw new TypeError("Array or Matrix expected");
    var p = c.valueOf().map((v) => Array.isArray(v) && v.length === 1 ? v[0] : v), m = d ? this.clone() : this;
    return l(m, p, f);
  };
  function l(c, f, d) {
    if (f.length === 0) {
      for (var p = c._data; cr(p); )
        p = p[0];
      return p;
    }
    return c._size = f.slice(0), c._data = ri(c._data, c._size, d), c;
  }
  t.prototype.reshape = function(c, f) {
    var d = f ? this.clone() : this;
    d._data = Ll(d._data, c);
    var p = d._size.reduce((m, v) => m * v);
    return d._size = Ul(c, p), d;
  };
  function u(c, f, d) {
    for (var p = c._size.slice(0), m = !1; p.length < f.length; )
      p.push(0), m = !0;
    for (var v = 0, b = f.length; v < b; v++)
      f[v] > p[v] && (p[v] = f[v], m = !0);
    m && l(c, p, d);
  }
  t.prototype.clone = function() {
    var c = new t({
      data: qe(this._data),
      size: qe(this._size),
      datatype: this._datatype
    });
    return c;
  }, t.prototype.size = function() {
    return this._size.slice(0);
  }, t.prototype._forEach = function(c) {
    var f = this, d = f.size();
    if (d.length === 1) {
      for (var p = 0; p < d[0]; p++)
        c(f._data, p, [p]);
      return;
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    var m = Array(d.length).fill(0), v = Array(d.length - 1), b = v.length - 1;
    v[0] = f._data[0];
    for (var y = 0; y < b; y++)
      v[y + 1] = v[y][0];
    for (m[b] = -1; ; ) {
      var A = void 0;
      for (A = b; A >= 0; A--) {
        if (m[A]++, m[A] === d[A]) {
          m[A] = 0;
          continue;
        }
        v[A] = A === 0 ? f._data[m[A]] : v[A - 1][m[A]];
        for (var h = A; h < b; h++)
          v[h + 1] = v[h][0];
        for (var x = 0; x < d[v.length]; x++)
          m[v.length] = x, c(v[b], x, m.slice(0));
        break;
      }
      if (A === -1)
        break;
    }
  }, t.prototype.map = function(c) {
    var f = this, d = new t(f), p = ha(c, f._data, "map");
    return d._forEach(function(m, v, b) {
      m[v] = p(m[v], b, f);
    }), d;
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    var f = this, d = ha(c, f._data, "map");
    f._forEach(function(p, m, v) {
      d(p[m], v, f);
    });
  }, t.prototype[Symbol.iterator] = function* () {
    var c = function* (d, p) {
      if (cr(d))
        for (var m = 0; m < d.length; m++)
          yield* c(d[m], p.concat(m));
      else
        yield {
          value: d,
          index: p
        };
    };
    yield* c(this._data, []);
  }, t.prototype.rows = function() {
    var c = [], f = this.size();
    if (f.length !== 2)
      throw new TypeError("Rows can only be returned for a 2D matrix.");
    var d = this._data;
    for (var p of d)
      c.push(new t([p], this._datatype));
    return c;
  }, t.prototype.columns = function() {
    var c = this, f = [], d = this.size();
    if (d.length !== 2)
      throw new TypeError("Rows can only be returned for a 2D matrix.");
    for (var p = this._data, m = function(y) {
      var A = p.map((h) => [h[y]]);
      f.push(new t(A, c._datatype));
    }, v = 0; v < d[1]; v++)
      m(v);
    return f;
  }, t.prototype.toArray = function() {
    return qe(this._data);
  }, t.prototype.valueOf = function() {
    return this._data;
  }, t.prototype.format = function(c) {
    return Qe(this._data, c);
  }, t.prototype.toString = function() {
    return Qe(this._data);
  }, t.prototype.toJSON = function() {
    return {
      mathjs: "DenseMatrix",
      data: this._data,
      size: this._size,
      datatype: this._datatype
    };
  }, t.prototype.diagonal = function(c) {
    if (c) {
      if (Ze(c) && (c = c.toNumber()), !We(c) || !Oe(c))
        throw new TypeError("The parameter k must be an integer number");
    } else
      c = 0;
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      b[y] = this._data[y + d][y + f];
    return new t({
      data: b,
      size: [v],
      datatype: this._datatype
    });
  }, t.diagonal = function(c, f, d, p) {
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      throw new TypeError("Array expected, size parameter");
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      throw new Error("Only two dimensions matrix are supported");
    if (c = c.map(function(D) {
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      if (Ze(d) && (d = d.toNumber()), !We(d) || !Oe(d))
        throw new TypeError("The parameter k must be an integer number");
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      d = 0;
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        throw new Error("Invalid value array length");
      h = function(E) {
        return f[E];
      };
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      var x = f.size();
      if (x.length !== 1 || x[0] !== A)
        throw new Error("Invalid matrix length");
      h = function(E) {
        return f.get([E]);
      };
    } else
      h = function() {
        return f;
      };
    p || (p = Ze(h(0)) ? h(0).mul(0) : 0);
    var w = [];
    if (c.length > 0) {
      w = ri(w, c, p);
      for (var g = 0; g < A; g++)
        w[g + v][g + m] = h(g);
    }
    return new t({
      data: w,
      size: [b, y]
    });
  }, t.fromJSON = function(c) {
    return new t(c);
  }, t.prototype.swapRows = function(c, f) {
    if (!We(c) || !Oe(c) || !We(f) || !Oe(f))
      throw new Error("Row index must be positive integers");
    if (this._size.length !== 2)
      throw new Error("Only two dimensional matrix is supported");
    return gr(c, this._size[0]), gr(f, this._size[0]), t._swapRows(c, f, this._data), this;
  }, t._swapRows = function(c, f, d) {
    var p = d[c];
    d[c] = d[f], d[f] = p;
  };
  function s(c) {
    return ze(c) ? s(c.valueOf()) : cr(c) ? c.map(s) : c;
  }
  return t;
}, {
  isClass: !0
}), td = "clone", C_ = ["typed"], M_ = /* @__PURE__ */ P(td, C_, (e) => {
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    typed: r
  } = e;
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    any: qe
  });
});
function Mg(e) {
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    var o = [];
    for (n = 0; n < r; n++)
      o.push(e[n][a]);
    i.push(o);
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  return i;
}
function ci(e) {
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    if (At(e[r]))
      return !0;
  return !1;
}
function Cn(e, r) {
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    var a = e[t];
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  }
}
function je(e, r, t) {
  return e && typeof e.map == "function" ? e.map(function(n) {
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}
function $s(e, r, t) {
  var n = Array.isArray(e) ? ke(e) : e.size();
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    throw new $t(r, n.length);
  return ze(e) ? e.create(Xo(e.valueOf(), r, t), e.datatype()) : Xo(e, r, t);
}
function Xo(e, r, t) {
  var n, a, i, o;
  if (r <= 0)
    if (Array.isArray(e[0])) {
      for (o = Mg(e), a = [], n = 0; n < o.length; n++)
        a[n] = Xo(o[n], r - 1, t);
      return a;
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      for (i = e[0], n = 1; n < e.length; n++)
        i = t(i, e[n]);
      return i;
    }
  else {
    for (a = [], n = 0; n < e.length; n++)
      a[n] = Xo(e[n], r - 1, t);
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  }
}
function nd(e, r, t, n, a, i, o, l, u, s, c) {
  var f = e._values, d = e._index, p = e._ptr, m, v, b, y;
  if (n)
    for (v = p[r], b = p[r + 1], m = v; m < b; m++)
      y = d[m], t[y] !== i ? (t[y] = i, o.push(y), n[y] = f[m]) : (n[y] = l(n[y], f[m]), a[y] = i);
  else
    for (v = p[r], b = p[r + 1], m = v; m < b; m++)
      y = d[m], t[y] !== i ? (t[y] = i, o.push(y)) : a[y] = i;
}
var ad = "isInteger", __ = ["typed"], F_ = /* @__PURE__ */ P(ad, __, (e) => {
  var {
    typed: r
  } = e;
  return r(ad, {
    number: Oe,
    // TODO: what to do with isInteger(add(0.1, 0.2))  ?
    BigNumber: function(n) {
      return n.isInt();
    },
    bigint: function(n) {
      return !0;
    },
    Fraction: function(n) {
      return n.d === 1 && isFinite(n.n);
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    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
  });
}), Gt = "number", fi = "number, number";
function _g(e) {
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}
_g.signature = Gt;
function Fg(e, r) {
  return e + r;
}
Fg.signature = fi;
function Tg(e, r) {
  return e - r;
}
Tg.signature = fi;
function Og(e, r) {
  return e * r;
}
Og.signature = fi;
function Bg(e) {
  return -e;
}
Bg.signature = Gt;
function $g(e) {
  return e;
}
$g.signature = Gt;
function Di(e) {
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}
Di.signature = Gt;
function Ig(e) {
  return e * e * e;
}
Ig.signature = Gt;
function Rg(e) {
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}
Rg.signature = Gt;
function Pg(e) {
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}
Pg.signature = Gt;
function zg(e, r) {
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  if (e === 0 || r === 0)
    return 0;
  for (var t, n = e * r; r !== 0; )
    t = r, r = e % t, e = t;
  return Math.abs(n / e);
}
zg.signature = fi;
function T_(e, r) {
  return Math.log(e);
}
function qg(e) {
  return TC(e);
}
qg.signature = Gt;
function Lg(e) {
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}
Lg.signature = Gt;
function id(e) {
  var r = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : 2, t = r < 0;
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  if (e < 0 && Math.abs(r) % 2 !== 1)
    throw new Error("Root must be odd when a is negative.");
  if (e === 0)
    return t ? 1 / 0 : 0;
  if (!isFinite(e))
    return t ? 0 : e;
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}
function Hu(e) {
  return Vn(e);
}
Hu.signature = Gt;
function Ug(e) {
  return e * e;
}
Ug.signature = Gt;
function kg(e, r) {
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}
kg.signature = fi;
function Vg(e, r) {
  return e * e < 1 && r === 1 / 0 || e * e > 1 && r === -1 / 0 ? 0 : Math.pow(e, r);
}
Vg.signature = fi;
function Ai(e) {
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  return parseFloat(ag(e, r));
}
var O_ = "number", di = "number, number";
function Hg(e, r) {
  if (!Oe(e) || !Oe(r))
    throw new Error("Integers expected in function bitAnd");
  return e & r;
}
Hg.signature = di;
function Zg(e) {
  if (!Oe(e))
    throw new Error("Integer expected in function bitNot");
  return ~e;
}
Zg.signature = O_;
function Gg(e, r) {
  if (!Oe(e) || !Oe(r))
    throw new Error("Integers expected in function bitOr");
  return e | r;
}
Gg.signature = di;
function Wg(e, r) {
  if (!Oe(e) || !Oe(r))
    throw new Error("Integers expected in function bitXor");
  return e ^ r;
}
Wg.signature = di;
function Kg(e, r) {
  if (!Oe(e) || !Oe(r))
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  return e << r;
}
Kg.signature = di;
function Jg(e, r) {
  if (!Oe(e) || !Oe(r))
    throw new Error("Integers expected in function rightArithShift");
  return e >> r;
}
Jg.signature = di;
function Yg(e, r) {
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}
Yg.signature = di;
function wn(e, r) {
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function jg(e, r) {
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    throw new TypeError("k must be less than or equal to n");
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jg.signature = "number, number";
var B_ = Math.PI, $_ = 2 * Math.PI, I_ = Math.E, R_ = 1.618033988749895, P_ = "number", Zl = "number, number";
function Xg(e) {
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}
Xg.signature = P_;
function Zu(e, r) {
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Zu.signature = Zl;
function Gu(e, r) {
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Gu.signature = Zl;
function Wu(e, r) {
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Wu.signature = Zl;
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  --e, r = ka[0];
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var Qg = 4.7421875, ka = [0.9999999999999971, 57.15623566586292, -59.59796035547549, 14.136097974741746, -0.4919138160976202, 3399464998481189e-20, 4652362892704858e-20, -9837447530487956e-20, 1580887032249125e-19, -21026444172410488e-20, 21743961811521265e-20, -1643181065367639e-19, 8441822398385275e-20, -26190838401581408e-21, 36899182659531625e-22], ey = 0.9189385332046728, z_ = 5, q_ = 7, od = [1.000000000190015, 76.18009172947146, -86.50532032941678, 24.01409824083091, -1.231739572450155, 0.001208650973866179, -5395239384953e-18];
function es(e) {
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es.signature = "number";
var et = "number";
function ry(e) {
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ry.signature = et;
function ty(e) {
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ty.signature = et;
function ny(e) {
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ny.signature = et;
function ay(e) {
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ay.signature = et;
function iy(e) {
  var r = 1 / e;
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iy.signature = et;
function oy(e) {
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oy.signature = et;
function sy(e) {
  var r = 1 / e, t = Math.sqrt(r * r - 1);
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}
sy.signature = et;
function uy(e) {
  return qC(e);
}
uy.signature = et;
function ly(e) {
  return LC(e);
}
ly.signature = et;
function cy(e) {
  return 1 / Math.tan(e);
}
cy.signature = et;
function fy(e) {
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fy.signature = et;
function dy(e) {
  return 1 / Math.sin(e);
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dy.signature = et;
function py(e) {
  return e === 0 ? Number.POSITIVE_INFINITY : Math.abs(2 / (Math.exp(e) - Math.exp(-e))) * Vn(e);
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py.signature = et;
function my(e) {
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my.signature = et;
function vy(e) {
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vy.signature = et;
function hy(e) {
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hy.signature = et;
var Gl = "number";
function gy(e) {
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function yy(e) {
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yy.signature = Gl;
function by(e) {
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    throw new Error("Absolute tolerance must be at least 0");
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    Unit: function(n) {
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function e3(e, r, t, n) {
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var pi = /* @__PURE__ */ P("compareUnits", ["typed"], (e) => {
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    "number, number": function(i, o) {
      return Gr(i, o, t.relTol, t.absTol);
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P(rs, ["typed", "config"], (e) => {
  var {
    typed: r,
    config: t
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  return r(rs, {
    "number, number": function(a, i) {
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var n3 = "SparseMatrix", a3 = ["typed", "equalScalar", "Matrix"], i3 = /* @__PURE__ */ P(n3, a3, (e) => {
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      throw new Error("Invalid datatype: " + b);
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      if (v)
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  function i(v, b, y) {
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      size: A,
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        var N = b.dimension(0), S = b.dimension(1);
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    if (this._size[0] === v[0] && this._size[1] === v[1])
      return h;
    for (var x = [], w = 0; w < h._ptr.length; w++)
      for (var g = 0; g < h._ptr[w + 1] - h._ptr[w]; g++)
        x.push(w);
    for (var D = h._values.slice(), E = h._index.slice(), N = 0; N < h._index.length; N++) {
      var S = E[N], M = x[N], F = S * h._size[1] + M;
      x[N] = F % v[1], E[N] = Math.floor(F / v[1]);
    }
    h._values.length = 0, h._index.length = 0, h._ptr.length = v[1] + 1, h._size = v.slice();
    for (var $ = 0; $ < h._ptr.length; $++)
      h._ptr[$] = 0;
    for (var I = 0; I < D.length; I++) {
      var B = E[I], C = x[I], _ = D[I], z = s(B, h._ptr[C], h._ptr[C + 1], h._index);
      f(z, B, C, _, h._values, h._index, h._ptr);
    }
    return h;
  }, a.prototype.clone = function() {
    var v = new a({
      values: this._values ? qe(this._values) : void 0,
      index: qe(this._index),
      ptr: qe(this._ptr),
      size: qe(this._size),
      datatype: this._datatype
    });
    return v;
  }, a.prototype.size = function() {
    return this._size.slice(0);
  }, a.prototype.map = function(v, b) {
    if (!this._values)
      throw new Error("Cannot invoke map on a Pattern only matrix");
    var y = this, A = this._size[0], h = this._size[1], x = ha(v, y, "map"), w = function(D, E, N) {
      return x(D, [E, N], y);
    };
    return p(this, 0, A - 1, 0, h - 1, w, b);
  };
  function p(v, b, y, A, h, x, w) {
    var g = [], D = [], E = [], N = t, S = 0;
    Vr(v._datatype) && (N = r.find(t, [v._datatype, v._datatype]) || t, S = r.convert(0, v._datatype));
    for (var M = function(R, Q, se) {
      var re = x(R, Q, se);
      N(re, S) || (g.push(re), D.push(Q));
    }, F = A; F <= h; F++) {
      E.push(g.length);
      var $ = v._ptr[F], I = v._ptr[F + 1];
      if (w)
        for (var B = $; B < I; B++) {
          var C = v._index[B];
          C >= b && C <= y && M(v._values[B], C - b, F - A);
        }
      else {
        for (var _ = {}, z = $; z < I; z++) {
          var O = v._index[z];
          _[O] = v._values[z];
        }
        for (var W = b; W <= y; W++) {
          var X = W in _ ? _[W] : 0;
          M(X, W - b, F - A);
        }
      }
    }
    return E.push(g.length), new a({
      values: g,
      index: D,
      ptr: E,
      size: [y - b + 1, h - A + 1]
    });
  }
  a.prototype.forEach = function(v, b) {
    if (!this._values)
      throw new Error("Cannot invoke forEach on a Pattern only matrix");
    for (var y = this, A = this._size[0], h = this._size[1], x = ha(v, y, "forEach"), w = 0; w < h; w++) {
      var g = this._ptr[w], D = this._ptr[w + 1];
      if (b)
        for (var E = g; E < D; E++) {
          var N = this._index[E];
          x(this._values[E], [N, w], y);
        }
      else {
        for (var S = {}, M = g; M < D; M++) {
          var F = this._index[M];
          S[F] = this._values[M];
        }
        for (var $ = 0; $ < A; $++) {
          var I = $ in S ? S[$] : 0;
          x(I, [$, w], y);
        }
      }
    }
  }, a.prototype[Symbol.iterator] = function* () {
    if (!this._values)
      throw new Error("Cannot iterate a Pattern only matrix");
    for (var v = this._size[1], b = 0; b < v; b++)
      for (var y = this._ptr[b], A = this._ptr[b + 1], h = y; h < A; h++) {
        var x = this._index[h];
        yield {
          value: this._values[h],
          index: [x, b]
        };
      }
  }, a.prototype.toArray = function() {
    return m(this._values, this._index, this._ptr, this._size, !0);
  }, a.prototype.valueOf = function() {
    return m(this._values, this._index, this._ptr, this._size, !1);
  };
  function m(v, b, y, A, h) {
    var x = A[0], w = A[1], g = [], D, E;
    for (D = 0; D < x; D++)
      for (g[D] = [], E = 0; E < w; E++)
        g[D][E] = 0;
    for (E = 0; E < w; E++)
      for (var N = y[E], S = y[E + 1], M = N; M < S; M++)
        D = b[M], g[D][E] = v ? h ? qe(v[M]) : v[M] : 1;
    return g;
  }
  return a.prototype.format = function(v) {
    for (var b = this._size[0], y = this._size[1], A = this.density(), h = "Sparse Matrix [" + Qe(b, v) + " x " + Qe(y, v) + "] density: " + Qe(A, v) + `
`, x = 0; x < y; x++)
      for (var w = this._ptr[x], g = this._ptr[x + 1], D = w; D < g; D++) {
        var E = this._index[D];
        h += `
    (` + Qe(E, v) + ", " + Qe(x, v) + ") ==> " + (this._values ? Qe(this._values[D], v) : "X");
      }
    return h;
  }, a.prototype.toString = function() {
    return Qe(this.toArray());
  }, a.prototype.toJSON = function() {
    return {
      mathjs: "SparseMatrix",
      values: this._values,
      index: this._index,
      ptr: this._ptr,
      size: this._size,
      datatype: this._datatype
    };
  }, a.prototype.diagonal = function(v) {
    if (v) {
      if (Ze(v) && (v = v.toNumber()), !We(v) || !Oe(v))
        throw new TypeError("The parameter k must be an integer number");
    } else
      v = 0;
    var b = v > 0 ? v : 0, y = v < 0 ? -v : 0, A = this._size[0], h = this._size[1], x = Math.min(A - y, h - b), w = [], g = [], D = [];
    D[0] = 0;
    for (var E = b; E < h && w.length < x; E++)
      for (var N = this._ptr[E], S = this._ptr[E + 1], M = N; M < S; M++) {
        var F = this._index[M];
        if (F === E - b + y) {
          w.push(this._values[M]), g[w.length - 1] = F - y;
          break;
        }
      }
    return D.push(w.length), new a({
      values: w,
      index: g,
      ptr: D,
      size: [x, 1]
    });
  }, a.fromJSON = function(v) {
    return new a(v);
  }, a.diagonal = function(v, b, y, A, h) {
    if (!cr(v))
      throw new TypeError("Array expected, size parameter");
    if (v.length !== 2)
      throw new Error("Only two dimensions matrix are supported");
    if (v = v.map(function(O) {
      if (Ze(O) && (O = O.toNumber()), !We(O) || !Oe(O) || O < 1)
        throw new Error("Size values must be positive integers");
      return O;
    }), y) {
      if (Ze(y) && (y = y.toNumber()), !We(y) || !Oe(y))
        throw new TypeError("The parameter k must be an integer number");
    } else
      y = 0;
    var x = t, w = 0;
    Vr(h) && (x = r.find(t, [h, h]) || t, w = r.convert(0, h));
    var g = y > 0 ? y : 0, D = y < 0 ? -y : 0, E = v[0], N = v[1], S = Math.min(E - D, N - g), M;
    if (cr(b)) {
      if (b.length !== S)
        throw new Error("Invalid value array length");
      M = function(W) {
        return b[W];
      };
    } else if (ze(b)) {
      var F = b.size();
      if (F.length !== 1 || F[0] !== S)
        throw new Error("Invalid matrix length");
      M = function(W) {
        return b.get([W]);
      };
    } else
      M = function() {
        return b;
      };
    for (var $ = [], I = [], B = [], C = 0; C < N; C++) {
      B.push($.length);
      var _ = C - g;
      if (_ >= 0 && _ < S) {
        var z = M(_);
        x(z, w) || (I.push(_ + D), $.push(z));
      }
    }
    return B.push($.length), new a({
      values: $,
      index: I,
      ptr: B,
      size: [E, N]
    });
  }, a.prototype.swapRows = function(v, b) {
    if (!We(v) || !Oe(v) || !We(b) || !Oe(b))
      throw new Error("Row index must be positive integers");
    if (this._size.length !== 2)
      throw new Error("Only two dimensional matrix is supported");
    return gr(v, this._size[0]), gr(b, this._size[0]), a._swapRows(v, b, this._size[1], this._values, this._index, this._ptr), this;
  }, a._forEachRow = function(v, b, y, A, h) {
    for (var x = A[v], w = A[v + 1], g = x; g < w; g++)
      h(y[g], b[g]);
  }, a._swapRows = function(v, b, y, A, h, x) {
    for (var w = 0; w < y; w++) {
      var g = x[w], D = x[w + 1], E = s(v, g, D, h), N = s(b, g, D, h);
      if (E < D && N < D && h[E] === v && h[N] === b) {
        if (A) {
          var S = A[E];
          A[E] = A[N], A[N] = S;
        }
        continue;
      }
      if (E < D && h[E] === v && (N >= D || h[N] !== b)) {
        var M = A ? A[E] : void 0;
        h.splice(N, 0, b), A && A.splice(N, 0, M), h.splice(N <= E ? E + 1 : E, 1), A && A.splice(N <= E ? E + 1 : E, 1);
        continue;
      }
      if (N < D && h[N] === b && (E >= D || h[E] !== v)) {
        var F = A ? A[N] : void 0;
        h.splice(E, 0, v), A && A.splice(E, 0, F), h.splice(E <= N ? N + 1 : N, 1), A && A.splice(E <= N ? N + 1 : N, 1);
      }
    }
  }, a;
}, {
  isClass: !0
}), o3 = "number", s3 = ["typed"];
function u3(e) {
  var r = e.match(/(0[box])([0-9a-fA-F]*)\.([0-9a-fA-F]*)/);
  if (r) {
    var t = {
      "0b": 2,
      "0o": 8,
      "0x": 16
    }[r[1]], n = r[2], a = r[3];
    return {
      input: e,
      radix: t,
      integerPart: n,
      fractionalPart: a
    };
  } else
    return null;
}
function l3(e) {
  for (var r = parseInt(e.integerPart, e.radix), t = 0, n = 0; n < e.fractionalPart.length; n++) {
    var a = parseInt(e.fractionalPart[n], e.radix);
    t += a / Math.pow(e.radix, n + 1);
  }
  var i = r + t;
  if (isNaN(i))
    throw new SyntaxError('String "' + e.input + '" is not a valid number');
  return i;
}
var c3 = /* @__PURE__ */ P(o3, s3, (e) => {
  var {
    typed: r
  } = e, t = r("number", {
    "": function() {
      return 0;
    },
    number: function(a) {
      return a;
    },
    string: function(a) {
      if (a === "NaN") return NaN;
      var i = u3(a);
      if (i)
        return l3(i);
      var o = 0, l = a.match(/(0[box][0-9a-fA-F]*)i([0-9]*)/);
      l && (o = Number(l[2]), a = l[1]);
      var u = Number(a);
      if (isNaN(u))
        throw new SyntaxError('String "' + a + '" is not a valid number');
      if (l) {
        if (u > 2 ** o - 1)
          throw new SyntaxError('String "'.concat(a, '" is out of range'));
        u >= 2 ** (o - 1) && (u = u - 2 ** o);
      }
      return u;
    },
    BigNumber: function(a) {
      return a.toNumber();
    },
    bigint: function(a) {
      return Number(a);
    },
    Fraction: function(a) {
      return a.valueOf();
    },
    Unit: r.referToSelf((n) => (a) => {
      var i = a.clone();
      return i.value = n(a.value), i;
    }),
    null: function(a) {
      return 0;
    },
    "Unit, string | Unit": function(a, i) {
      return a.toNumber(i);
    },
    "Array | Matrix": r.referToSelf((n) => (a) => je(a, n))
  });
  return t.fromJSON = function(n) {
    return parseFloat(n.value);
  }, t;
}), f3 = "bigint", d3 = ["typed"], p3 = /* @__PURE__ */ P(f3, d3, (e) => {
  var {
    typed: r
  } = e, t = r("bigint", {
    "": function() {
      return 0n;
    },
    bigint: function(a) {
      return a;
    },
    number: function(a) {
      return BigInt(a.toFixed());
    },
    BigNumber: function(a) {
      return BigInt(a.round().toString());
    },
    Fraction: function(a) {
      return BigInt(a.valueOf().toFixed());
    },
    "string | boolean": function(a) {
      return BigInt(a);
    },
    null: function(a) {
      return 0n;
    },
    "Array | Matrix": r.referToSelf((n) => (a) => je(a, n))
  });
  return t.fromJSON = function(n) {
    return BigInt(n.value);
  }, t;
}), md = "string", m3 = ["typed"], v3 = /* @__PURE__ */ P(md, m3, (e) => {
  var {
    typed: r
  } = e;
  return r(md, {
    "": function() {
      return "";
    },
    number: pa,
    null: function(n) {
      return "null";
    },
    boolean: function(n) {
      return n + "";
    },
    string: function(n) {
      return n;
    },
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t)),
    any: function(n) {
      return String(n);
    }
  });
}), vd = "boolean", h3 = ["typed"], g3 = /* @__PURE__ */ P(vd, h3, (e) => {
  var {
    typed: r
  } = e;
  return r(vd, {
    "": function() {
      return !1;
    },
    boolean: function(n) {
      return n;
    },
    number: function(n) {
      return !!n;
    },
    null: function(n) {
      return !1;
    },
    BigNumber: function(n) {
      return !n.isZero();
    },
    string: function(n) {
      var a = n.toLowerCase();
      if (a === "true")
        return !0;
      if (a === "false")
        return !1;
      var i = Number(n);
      if (n !== "" && !isNaN(i))
        return !!i;
      throw new Error('Cannot convert "' + n + '" to a boolean');
    },
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
  });
}), y3 = "bignumber", b3 = ["typed", "BigNumber"], w3 = /* @__PURE__ */ P(y3, b3, (e) => {
  var {
    typed: r,
    BigNumber: t
  } = e;
  return r("bignumber", {
    "": function() {
      return new t(0);
    },
    number: function(a) {
      return new t(a + "");
    },
    string: function(a) {
      var i = a.match(/(0[box][0-9a-fA-F]*)i([0-9]*)/);
      if (i) {
        var o = i[2], l = t(i[1]), u = new t(2).pow(Number(o));
        if (l.gt(u.sub(1)))
          throw new SyntaxError('String "'.concat(a, '" is out of range'));
        var s = new t(2).pow(Number(o) - 1);
        return l.gte(s) ? l.sub(u) : l;
      }
      return new t(a);
    },
    BigNumber: function(a) {
      return a;
    },
    bigint: function(a) {
      return new t(a.toString());
    },
    Unit: r.referToSelf((n) => (a) => {
      var i = a.clone();
      return i.value = n(a.value), i;
    }),
    Fraction: function(a) {
      return new t(a.n).div(a.d).times(a.s);
    },
    null: function(a) {
      return new t(0);
    },
    "Array | Matrix": r.referToSelf((n) => (a) => je(a, n))
  });
}), x3 = "complex", A3 = ["typed", "Complex"], N3 = /* @__PURE__ */ P(x3, A3, (e) => {
  var {
    typed: r,
    Complex: t
  } = e;
  return r("complex", {
    "": function() {
      return t.ZERO;
    },
    number: function(a) {
      return new t(a, 0);
    },
    "number, number": function(a, i) {
      return new t(a, i);
    },
    // TODO: this signature should be redundant
    "BigNumber, BigNumber": function(a, i) {
      return new t(a.toNumber(), i.toNumber());
    },
    Fraction: function(a) {
      return new t(a.valueOf(), 0);
    },
    Complex: function(a) {
      return a.clone();
    },
    string: function(a) {
      return t(a);
    },
    null: function(a) {
      return t(0);
    },
    Object: function(a) {
      if ("re" in a && "im" in a)
        return new t(a.re, a.im);
      if ("r" in a && "phi" in a || "abs" in a && "arg" in a)
        return new t(a);
      throw new Error("Expected object with properties (re and im) or (r and phi) or (abs and arg)");
    },
    "Array | Matrix": r.referToSelf((n) => (a) => je(a, n))
  });
}), D3 = "fraction", E3 = ["typed", "Fraction"], S3 = /* @__PURE__ */ P(D3, E3, (e) => {
  var {
    typed: r,
    Fraction: t
  } = e;
  return r("fraction", {
    number: function(a) {
      if (!isFinite(a) || isNaN(a))
        throw new Error(a + " cannot be represented as a fraction");
      return new t(a);
    },
    string: function(a) {
      return new t(a);
    },
    "number, number": function(a, i) {
      return new t(a, i);
    },
    null: function(a) {
      return new t(0);
    },
    BigNumber: function(a) {
      return new t(a.toString());
    },
    bigint: function(a) {
      return new t(a.toString());
    },
    Fraction: function(a) {
      return a;
    },
    Unit: r.referToSelf((n) => (a) => {
      var i = a.clone();
      return i.value = n(a.value), i;
    }),
    Object: function(a) {
      return new t(a);
    },
    "Array | Matrix": r.referToSelf((n) => (a) => je(a, n))
  });
}), hd = "matrix", C3 = ["typed", "Matrix", "DenseMatrix", "SparseMatrix"], M3 = /* @__PURE__ */ P(hd, C3, (e) => {
  var {
    typed: r,
    Matrix: t,
    DenseMatrix: n,
    SparseMatrix: a
  } = e;
  return r(hd, {
    "": function() {
      return i([]);
    },
    string: function(l) {
      return i([], l);
    },
    "string, string": function(l, u) {
      return i([], l, u);
    },
    Array: function(l) {
      return i(l);
    },
    Matrix: function(l) {
      return i(l, l.storage());
    },
    "Array | Matrix, string": i,
    "Array | Matrix, string, string": i
  });
  function i(o, l, u) {
    if (l === "dense" || l === "default" || l === void 0)
      return new n(o, u);
    if (l === "sparse")
      return new a(o, u);
    throw new TypeError("Unknown matrix type " + JSON.stringify(l) + ".");
  }
}), gd = "matrixFromFunction", _3 = ["typed", "matrix", "isZero"], F3 = /* @__PURE__ */ P(gd, _3, (e) => {
  var {
    typed: r,
    matrix: t,
    isZero: n
  } = e;
  return r(gd, {
    "Array | Matrix, function, string, string": function(o, l, u, s) {
      return a(o, l, u, s);
    },
    "Array | Matrix, function, string": function(o, l, u) {
      return a(o, l, u);
    },
    "Matrix, function": function(o, l) {
      return a(o, l, "dense");
    },
    "Array, function": function(o, l) {
      return a(o, l, "dense").toArray();
    },
    "Array | Matrix, string, function": function(o, l, u) {
      return a(o, u, l);
    },
    "Array | Matrix, string, string, function": function(o, l, u, s) {
      return a(o, s, l, u);
    }
  });
  function a(i, o, l, u) {
    var s;
    return u !== void 0 ? s = t(l, u) : s = t(l), s.resize(i), s.forEach(function(c, f) {
      var d = o(f);
      n(d) || s.set(f, d);
    }), s;
  }
}), yd = "matrixFromRows", T3 = ["typed", "matrix", "flatten", "size"], O3 = /* @__PURE__ */ P(yd, T3, (e) => {
  var {
    typed: r,
    matrix: t,
    flatten: n,
    size: a
  } = e;
  return r(yd, {
    "...Array": function(u) {
      return i(u);
    },
    "...Matrix": function(u) {
      return t(i(u.map((s) => s.toArray())));
    }
    // TODO implement this properly for SparseMatrix
  });
  function i(l) {
    if (l.length === 0) throw new TypeError("At least one row is needed to construct a matrix.");
    var u = o(l[0]), s = [];
    for (var c of l) {
      var f = o(c);
      if (f !== u)
        throw new TypeError("The vectors had different length: " + (u | 0) + " ≠ " + (f | 0));
      s.push(n(c));
    }
    return s;
  }
  function o(l) {
    var u = a(l);
    if (u.length === 1)
      return u[0];
    if (u.length === 2) {
      if (u[0] === 1)
        return u[1];
      if (u[1] === 1)
        return u[0];
      throw new TypeError("At least one of the arguments is not a vector.");
    } else
      throw new TypeError("Only one- or two-dimensional vectors are supported.");
  }
}), bd = "matrixFromColumns", B3 = ["typed", "matrix", "flatten", "size"], $3 = /* @__PURE__ */ P(bd, B3, (e) => {
  var {
    typed: r,
    matrix: t,
    flatten: n,
    size: a
  } = e;
  return r(bd, {
    "...Array": function(u) {
      return i(u);
    },
    "...Matrix": function(u) {
      return t(i(u.map((s) => s.toArray())));
    }
    // TODO implement this properly for SparseMatrix
  });
  function i(l) {
    if (l.length === 0) throw new TypeError("At least one column is needed to construct a matrix.");
    for (var u = o(l[0]), s = [], c = 0; c < u; c++)
      s[c] = [];
    for (var f of l) {
      var d = o(f);
      if (d !== u)
        throw new TypeError("The vectors had different length: " + (u | 0) + " ≠ " + (d | 0));
      for (var p = n(f), m = 0; m < u; m++)
        s[m].push(p[m]);
    }
    return s;
  }
  function o(l) {
    var u = a(l);
    if (u.length === 1)
      return u[0];
    if (u.length === 2) {
      if (u[0] === 1)
        return u[1];
      if (u[1] === 1)
        return u[0];
      throw new TypeError("At least one of the arguments is not a vector.");
    } else
      throw new TypeError("Only one- or two-dimensional vectors are supported.");
  }
}), wd = "splitUnit", I3 = ["typed"], R3 = /* @__PURE__ */ P(wd, I3, (e) => {
  var {
    typed: r
  } = e;
  return r(wd, {
    "Unit, Array": function(n, a) {
      return n.splitUnit(a);
    }
  });
}), xd = "unaryMinus", P3 = ["typed"], z3 = /* @__PURE__ */ P(xd, P3, (e) => {
  var {
    typed: r
  } = e;
  return r(xd, {
    number: Bg,
    "Complex | BigNumber | Fraction": (t) => t.neg(),
    bigint: (t) => -t,
    Unit: r.referToSelf((t) => (n) => {
      var a = n.clone();
      return a.value = r.find(t, a.valueType())(n.value), a;
    }),
    // deep map collection, skip zeros since unaryMinus(0) = 0
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
    // TODO: add support for string
  });
}), Ad = "unaryPlus", q3 = ["typed", "config", "numeric"], L3 = /* @__PURE__ */ P(Ad, q3, (e) => {
  var {
    typed: r,
    config: t,
    numeric: n
  } = e;
  return r(Ad, {
    number: $g,
    Complex: function(i) {
      return i;
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    BigNumber: function(i) {
      return i;
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    bigint: function(i) {
      return i;
    },
    Fraction: function(i) {
      return i;
    },
    Unit: function(i) {
      return i.clone();
    },
    // deep map collection, skip zeros since unaryPlus(0) = 0
    "Array | Matrix": r.referToSelf((a) => (i) => je(i, a)),
    boolean: function(i) {
      return n(i ? 1 : 0, t.number);
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    string: function(i) {
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}), Nd = "abs", U3 = ["typed"], k3 = /* @__PURE__ */ P(Nd, U3, (e) => {
  var {
    typed: r
  } = e;
  return r(Nd, {
    number: _g,
    "Complex | BigNumber | Fraction | Unit": (t) => t.abs(),
    bigint: (t) => t < 0n ? -t : t,
    // deep map collection, skip zeros since abs(0) = 0
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
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}), Dd = "apply", V3 = ["typed", "isInteger"], Wl = /* @__PURE__ */ P(Dd, V3, (e) => {
  var {
    typed: r,
    isInteger: t
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  return r(Dd, {
    "Array | Matrix, number | BigNumber, function": function(a, i, o) {
      if (!t(i))
        throw new TypeError("Integer number expected for dimension");
      var l = Array.isArray(a) ? ke(a) : a.size();
      if (i < 0 || i >= l.length)
        throw new $t(i, l.length);
      return ze(a) ? a.create(ts(a.valueOf(), i, o), a.datatype()) : ts(a, i, o);
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});
function ts(e, r, t) {
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    if (Array.isArray(e[0])) {
      for (i = H3(e), a = [], n = 0; n < i.length; n++)
        a[n] = ts(i[n], r - 1, t);
      return a;
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      return t(e);
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    for (a = [], n = 0; n < e.length; n++)
      a[n] = ts(e[n], r - 1, t);
    return a;
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}
function H3(e) {
  var r = e.length, t = e[0].length, n, a, i = [];
  for (a = 0; a < t; a++) {
    var o = [];
    for (n = 0; n < r; n++)
      o.push(e[n][a]);
    i.push(o);
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  return i;
}
var Ed = "addScalar", Z3 = ["typed"], G3 = /* @__PURE__ */ P(Ed, Z3, (e) => {
  var {
    typed: r
  } = e;
  return r(Ed, {
    "number, number": Fg,
    "Complex, Complex": function(n, a) {
      return n.add(a);
    },
    "BigNumber, BigNumber": function(n, a) {
      return n.plus(a);
    },
    "bigint, bigint": function(n, a) {
      return n + a;
    },
    "Fraction, Fraction": function(n, a) {
      return n.add(a);
    },
    "Unit, Unit": r.referToSelf((t) => (n, a) => {
      if (n.value === null || n.value === void 0)
        throw new Error("Parameter x contains a unit with undefined value");
      if (a.value === null || a.value === void 0)
        throw new Error("Parameter y contains a unit with undefined value");
      if (!n.equalBase(a)) throw new Error("Units do not match");
      var i = n.clone();
      return i.value = r.find(t, [i.valueType(), a.valueType()])(i.value, a.value), i.fixPrefix = !1, i;
    })
  });
}), Sd = "subtractScalar", W3 = ["typed"], K3 = /* @__PURE__ */ P(Sd, W3, (e) => {
  var {
    typed: r
  } = e;
  return r(Sd, {
    "number, number": Tg,
    "Complex, Complex": function(n, a) {
      return n.sub(a);
    },
    "BigNumber, BigNumber": function(n, a) {
      return n.minus(a);
    },
    "bigint, bigint": function(n, a) {
      return n - a;
    },
    "Fraction, Fraction": function(n, a) {
      return n.sub(a);
    },
    "Unit, Unit": r.referToSelf((t) => (n, a) => {
      if (n.value === null || n.value === void 0)
        throw new Error("Parameter x contains a unit with undefined value");
      if (a.value === null || a.value === void 0)
        throw new Error("Parameter y contains a unit with undefined value");
      if (!n.equalBase(a)) throw new Error("Units do not match");
      var i = n.clone();
      return i.value = r.find(t, [i.valueType(), a.valueType()])(i.value, a.value), i.fixPrefix = !1, i;
    })
  });
}), Cd = "cbrt", J3 = ["config", "typed", "isNegative", "unaryMinus", "matrix", "Complex", "BigNumber", "Fraction"], Y3 = /* @__PURE__ */ P(Cd, J3, (e) => {
  var {
    config: r,
    typed: t,
    isNegative: n,
    unaryMinus: a,
    matrix: i,
    Complex: o,
    BigNumber: l,
    Fraction: u
  } = e;
  return t(Cd, {
    number: Di,
    // note: signature 'number, boolean' is also supported,
    //       created by typed as it knows how to convert number to Complex
    Complex: s,
    "Complex, boolean": s,
    BigNumber: function(d) {
      return d.cbrt();
    },
    Unit: c
  });
  function s(f, d) {
    var p = f.arg() / 3, m = f.abs(), v = new o(Di(m), 0).mul(new o(0, p).exp());
    if (d) {
      var b = [v, new o(Di(m), 0).mul(new o(0, p + Math.PI * 2 / 3).exp()), new o(Di(m), 0).mul(new o(0, p - Math.PI * 2 / 3).exp())];
      return r.matrix === "Array" ? b : i(b);
    } else
      return v;
  }
  function c(f) {
    if (f.value && Ut(f.value)) {
      var d = f.clone();
      return d.value = 1, d = d.pow(1 / 3), d.value = s(f.value), d;
    } else {
      var p = n(f.value);
      p && (f.value = a(f.value));
      var m;
      Ze(f.value) ? m = new l(1).div(3) : Aa(f.value) ? m = new u(1, 3) : m = 1 / 3;
      var v = f.pow(m);
      return p && (v.value = a(v.value)), v;
    }
  }
}), j3 = "matAlgo11xS0s", X3 = ["typed", "equalScalar"], Kr = /* @__PURE__ */ P(j3, X3, (e) => {
  var {
    typed: r,
    equalScalar: t
  } = e;
  return function(a, i, o, l) {
    var u = a._values, s = a._index, c = a._ptr, f = a._size, d = a._datatype;
    if (!u)
      throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");
    var p = f[0], m = f[1], v, b = t, y = 0, A = o;
    typeof d == "string" && (v = d, b = r.find(t, [v, v]), y = r.convert(0, v), i = r.convert(i, v), A = r.find(o, [v, v]));
    for (var h = [], x = [], w = [], g = 0; g < m; g++) {
      w[g] = x.length;
      for (var D = c[g], E = c[g + 1], N = D; N < E; N++) {
        var S = s[N], M = l ? A(i, u[N]) : A(u[N], i);
        b(M, y) || (x.push(S), h.push(M));
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    }
    return w[m] = x.length, a.createSparseMatrix({
      values: h,
      index: x,
      ptr: w,
      size: [p, m],
      datatype: v
    });
  };
}), Q3 = "matAlgo12xSfs", eF = ["typed", "DenseMatrix"], Pr = /* @__PURE__ */ P(Q3, eF, (e) => {
  var {
    typed: r,
    DenseMatrix: t
  } = e;
  return function(a, i, o, l) {
    var u = a._values, s = a._index, c = a._ptr, f = a._size, d = a._datatype;
    if (!u)
      throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");
    var p = f[0], m = f[1], v, b = o;
    typeof d == "string" && (v = d, i = r.convert(i, v), b = r.find(o, [v, v]));
    for (var y = [], A = [], h = [], x = 0; x < m; x++) {
      for (var w = x + 1, g = c[x], D = c[x + 1], E = g; E < D; E++) {
        var N = s[E];
        A[N] = u[E], h[N] = w;
      }
      for (var S = 0; S < p; S++)
        x === 0 && (y[S] = []), h[S] === w ? y[S][x] = l ? b(i, A[S]) : b(A[S], i) : y[S][x] = l ? b(i, 0) : b(0, i);
    }
    return new t({
      data: y,
      size: [p, m],
      datatype: v
    });
  };
}), rF = "matAlgo14xDs", tF = ["typed"], Wt = /* @__PURE__ */ P(rF, tF, (e) => {
  var {
    typed: r
  } = e;
  return function(a, i, o, l) {
    var u = a._data, s = a._size, c = a._datatype, f, d = o;
    typeof c == "string" && (f = c, i = r.convert(i, f), d = r.find(o, [f, f]));
    var p = s.length > 0 ? t(d, 0, s, s[0], u, i, l) : [];
    return a.createDenseMatrix({
      data: p,
      size: qe(s),
      datatype: f
    });
  };
  function t(n, a, i, o, l, u, s) {
    var c = [];
    if (a === i.length - 1)
      for (var f = 0; f < o; f++)
        c[f] = s ? n(u, l[f]) : n(l[f], u);
    else
      for (var d = 0; d < o; d++)
        c[d] = t(n, a + 1, i, i[a + 1], l[d], u, s);
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}), Ku = "ceil", nF = ["typed", "config", "round", "matrix", "equalScalar", "zeros", "DenseMatrix"], aF = /* @__PURE__ */ P(Ku, ["typed", "config", "round"], (e) => {
  var {
    typed: r,
    config: t,
    round: n
  } = e;
  return r(Ku, {
    number: function(i) {
      return Gr(i, n(i), t.relTol, t.absTol) ? n(i) : Math.ceil(i);
    },
    "number, number": function(i, o) {
      if (Gr(i, n(i, o), t.relTol, t.absTol))
        return n(i, o);
      var [l, u] = "".concat(i, "e").split("e"), s = Math.ceil(Number("".concat(l, "e").concat(Number(u) + o)));
      return [l, u] = "".concat(s, "e").split("e"), Number("".concat(l, "e").concat(Number(u) - o));
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  });
}), iF = /* @__PURE__ */ P(Ku, nF, (e) => {
  var {
    typed: r,
    config: t,
    round: n,
    matrix: a,
    equalScalar: i,
    zeros: o,
    DenseMatrix: l
  } = e, u = Kr({
    typed: r,
    equalScalar: i
  }), s = Pr({
    typed: r,
    DenseMatrix: l
  }), c = Wt({
    typed: r
  }), f = aF({
    typed: r,
    config: t,
    round: n
  });
  return r("ceil", {
    number: f.signatures.number,
    "number,number": f.signatures["number,number"],
    Complex: function(p) {
      return p.ceil();
    },
    "Complex, number": function(p, m) {
      return p.ceil(m);
    },
    "Complex, BigNumber": function(p, m) {
      return p.ceil(m.toNumber());
    },
    BigNumber: function(p) {
      return ht(p, n(p), t.relTol, t.absTol) ? n(p) : p.ceil();
    },
    "BigNumber, BigNumber": function(p, m) {
      return ht(p, n(p, m), t.relTol, t.absTol) ? n(p, m) : p.toDecimalPlaces(m.toNumber(), jn.ROUND_CEIL);
    },
    Fraction: function(p) {
      return p.ceil();
    },
    "Fraction, number": function(p, m) {
      return p.ceil(m);
    },
    "Fraction, BigNumber": function(p, m) {
      return p.ceil(m.toNumber());
    },
    "Array | Matrix": r.referToSelf((d) => (p) => je(p, d)),
    "Array, number | BigNumber": r.referToSelf((d) => (p, m) => je(p, (v) => d(v, m))),
    "SparseMatrix, number | BigNumber": r.referToSelf((d) => (p, m) => u(p, m, d, !1)),
    "DenseMatrix, number | BigNumber": r.referToSelf((d) => (p, m) => c(p, m, d, !1)),
    "number | Complex | Fraction | BigNumber, Array": r.referToSelf((d) => (p, m) => c(a(m), p, d, !0).valueOf()),
    "number | Complex | Fraction | BigNumber, Matrix": r.referToSelf((d) => (p, m) => i(p, 0) ? o(m.size(), m.storage()) : m.storage() === "dense" ? c(m, p, d, !0) : s(m, p, d, !0))
  });
}), Md = "cube", oF = ["typed"], sF = /* @__PURE__ */ P(Md, oF, (e) => {
  var {
    typed: r
  } = e;
  return r(Md, {
    number: Ig,
    Complex: function(n) {
      return n.mul(n).mul(n);
    },
    BigNumber: function(n) {
      return n.times(n).times(n);
    },
    bigint: function(n) {
      return n * n * n;
    },
    Fraction: function(n) {
      return n.pow(3);
    },
    Unit: function(n) {
      return n.pow(3);
    }
  });
}), _d = "exp", uF = ["typed"], lF = /* @__PURE__ */ P(_d, uF, (e) => {
  var {
    typed: r
  } = e;
  return r(_d, {
    number: Rg,
    Complex: function(n) {
      return n.exp();
    },
    BigNumber: function(n) {
      return n.exp();
    }
  });
}), Fd = "expm1", cF = ["typed", "Complex"], fF = /* @__PURE__ */ P(Fd, cF, (e) => {
  var {
    typed: r,
    Complex: t
  } = e;
  return r(Fd, {
    number: Pg,
    Complex: function(a) {
      var i = Math.exp(a.re);
      return new t(i * Math.cos(a.im) - 1, i * Math.sin(a.im));
    },
    BigNumber: function(a) {
      return a.exp().minus(1);
    }
  });
}), Ju = "fix", dF = ["typed", "Complex", "matrix", "ceil", "floor", "equalScalar", "zeros", "DenseMatrix"], pF = /* @__PURE__ */ P(Ju, ["typed", "ceil", "floor"], (e) => {
  var {
    typed: r,
    ceil: t,
    floor: n
  } = e;
  return r(Ju, {
    number: function(i) {
      return i > 0 ? n(i) : t(i);
    },
    "number, number": function(i, o) {
      return i > 0 ? n(i, o) : t(i, o);
    }
  });
}), mF = /* @__PURE__ */ P(Ju, dF, (e) => {
  var {
    typed: r,
    Complex: t,
    matrix: n,
    ceil: a,
    floor: i,
    equalScalar: o,
    zeros: l,
    DenseMatrix: u
  } = e, s = Pr({
    typed: r,
    DenseMatrix: u
  }), c = Wt({
    typed: r
  }), f = pF({
    typed: r,
    ceil: a,
    floor: i
  });
  return r("fix", {
    number: f.signatures.number,
    "number, number | BigNumber": f.signatures["number,number"],
    Complex: function(p) {
      return new t(p.re > 0 ? Math.floor(p.re) : Math.ceil(p.re), p.im > 0 ? Math.floor(p.im) : Math.ceil(p.im));
    },
    "Complex, number": function(p, m) {
      return new t(p.re > 0 ? i(p.re, m) : a(p.re, m), p.im > 0 ? i(p.im, m) : a(p.im, m));
    },
    "Complex, BigNumber": function(p, m) {
      var v = m.toNumber();
      return new t(p.re > 0 ? i(p.re, v) : a(p.re, v), p.im > 0 ? i(p.im, v) : a(p.im, v));
    },
    BigNumber: function(p) {
      return p.isNegative() ? a(p) : i(p);
    },
    "BigNumber, number | BigNumber": function(p, m) {
      return p.isNegative() ? a(p, m) : i(p, m);
    },
    Fraction: function(p) {
      return p.s < 0 ? p.ceil() : p.floor();
    },
    "Fraction, number | BigNumber": function(p, m) {
      return p.s < 0 ? a(p, m) : i(p, m);
    },
    "Array | Matrix": r.referToSelf((d) => (p) => je(p, d)),
    "Array | Matrix, number | BigNumber": r.referToSelf((d) => (p, m) => je(p, (v) => d(v, m))),
    "number | Complex | Fraction | BigNumber, Array": r.referToSelf((d) => (p, m) => c(n(m), p, d, !0).valueOf()),
    "number | Complex | Fraction | BigNumber, Matrix": r.referToSelf((d) => (p, m) => o(p, 0) ? l(m.size(), m.storage()) : m.storage() === "dense" ? c(m, p, d, !0) : s(m, p, d, !0))
  });
}), Yu = "floor", vF = ["typed", "config", "round", "matrix", "equalScalar", "zeros", "DenseMatrix"], hF = /* @__PURE__ */ P(Yu, ["typed", "config", "round"], (e) => {
  var {
    typed: r,
    config: t,
    round: n
  } = e;
  return r(Yu, {
    number: function(i) {
      return Gr(i, n(i), t.relTol, t.absTol) ? n(i) : Math.floor(i);
    },
    "number, number": function(i, o) {
      if (Gr(i, n(i, o), t.relTol, t.absTol))
        return n(i, o);
      var [l, u] = "".concat(i, "e").split("e"), s = Math.floor(Number("".concat(l, "e").concat(Number(u) + o)));
      return [l, u] = "".concat(s, "e").split("e"), Number("".concat(l, "e").concat(Number(u) - o));
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  });
}), wy = /* @__PURE__ */ P(Yu, vF, (e) => {
  var {
    typed: r,
    config: t,
    round: n,
    matrix: a,
    equalScalar: i,
    zeros: o,
    DenseMatrix: l
  } = e, u = Kr({
    typed: r,
    equalScalar: i
  }), s = Pr({
    typed: r,
    DenseMatrix: l
  }), c = Wt({
    typed: r
  }), f = hF({
    typed: r,
    config: t,
    round: n
  });
  return r("floor", {
    number: f.signatures.number,
    "number,number": f.signatures["number,number"],
    Complex: function(p) {
      return p.floor();
    },
    "Complex, number": function(p, m) {
      return p.floor(m);
    },
    "Complex, BigNumber": function(p, m) {
      return p.floor(m.toNumber());
    },
    BigNumber: function(p) {
      return ht(p, n(p), t.relTol, t.absTol) ? n(p) : p.floor();
    },
    "BigNumber, BigNumber": function(p, m) {
      return ht(p, n(p, m), t.relTol, t.absTol) ? n(p, m) : p.toDecimalPlaces(m.toNumber(), jn.ROUND_FLOOR);
    },
    Fraction: function(p) {
      return p.floor();
    },
    "Fraction, number": function(p, m) {
      return p.floor(m);
    },
    "Fraction, BigNumber": function(p, m) {
      return p.floor(m.toNumber());
    },
    "Array | Matrix": r.referToSelf((d) => (p) => je(p, d)),
    "Array, number | BigNumber": r.referToSelf((d) => (p, m) => je(p, (v) => d(v, m))),
    "SparseMatrix, number | BigNumber": r.referToSelf((d) => (p, m) => u(p, m, d, !1)),
    "DenseMatrix, number | BigNumber": r.referToSelf((d) => (p, m) => c(p, m, d, !1)),
    "number | Complex | Fraction | BigNumber, Array": r.referToSelf((d) => (p, m) => c(a(m), p, d, !0).valueOf()),
    "number | Complex | Fraction | BigNumber, Matrix": r.referToSelf((d) => (p, m) => i(p, 0) ? o(m.size(), m.storage()) : m.storage() === "dense" ? c(m, p, d, !0) : s(m, p, d, !0))
  });
}), gF = "matAlgo02xDS0", yF = ["typed", "equalScalar"], Kt = /* @__PURE__ */ P(gF, yF, (e) => {
  var {
    typed: r,
    equalScalar: t
  } = e;
  return function(a, i, o, l) {
    var u = a._data, s = a._size, c = a._datatype || a.getDataType(), f = i._values, d = i._index, p = i._ptr, m = i._size, v = i._datatype || i._data === void 0 ? i._datatype : i.getDataType();
    if (s.length !== m.length)
      throw new Ye(s.length, m.length);
    if (s[0] !== m[0] || s[1] !== m[1])
      throw new RangeError("Dimension mismatch. Matrix A (" + s + ") must match Matrix B (" + m + ")");
    if (!f)
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    matrix: a,
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Fn.prototype = new Error();
Fn.prototype.constructor = Error;
Fn.prototype.name = "ArgumentsError";
Fn.prototype.isArgumentsError = !0;
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function Bd(e) {
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    matrix: t,
    config: n,
    round: a,
    equalScalar: i,
    zeros: o,
    BigNumber: l,
    DenseMatrix: u,
    concat: s
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    typed: r,
    config: n,
    round: a,
    matrix: t,
    equalScalar: i,
    zeros: o,
    DenseMatrix: u,
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    equalScalar: i
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    typed: r,
    DenseMatrix: u
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    typed: r,
    matrix: t,
    concat: s
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    equalScalar: n
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    equalScalar: n
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    typed: r,
    matrix: t,
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    "number, number": zg,
    "BigNumber, BigNumber": f,
    "Fraction, Fraction": (d, p) => d.lcm(p)
  }, u({
    SS: o,
    DS: i,
    Ss: l
  }), c);
  function f(d, p) {
    if (!d.isInt() || !p.isInt())
      throw new Error("Parameters in function lcm must be integer numbers");
    if (d.isZero())
      return d;
    if (p.isZero())
      return p;
    for (var m = d.times(p); !p.isZero(); ) {
      var v = p;
      p = d.mod(v), d = v;
    }
    return m.div(d).abs();
  }
}), Id = "log10", VF = ["typed", "config", "Complex"], HF = /* @__PURE__ */ P(Id, VF, (e) => {
  var {
    typed: r,
    config: t,
    Complex: n
  } = e;
  return r(Id, {
    number: function(i) {
      return i >= 0 || t.predictable ? qg(i) : new n(i, 0).log().div(Math.LN10);
    },
    Complex: function(i) {
      return new n(i).log().div(Math.LN10);
    },
    BigNumber: function(i) {
      return !i.isNegative() || t.predictable ? i.log() : new n(i.toNumber(), 0).log().div(Math.LN10);
    },
    "Array | Matrix": r.referToSelf((a) => (i) => je(i, a))
  });
}), Rd = "log2", ZF = ["typed", "config", "Complex"], GF = /* @__PURE__ */ P(Rd, ZF, (e) => {
  var {
    typed: r,
    config: t,
    Complex: n
  } = e;
  return r(Rd, {
    number: function(o) {
      return o >= 0 || t.predictable ? Lg(o) : a(new n(o, 0));
    },
    Complex: a,
    BigNumber: function(o) {
      return !o.isNegative() || t.predictable ? o.log(2) : a(new n(o.toNumber(), 0));
    },
    "Array | Matrix": r.referToSelf((i) => (o) => je(o, i))
  });
  function a(i) {
    var o = Math.sqrt(i.re * i.re + i.im * i.im);
    return new n(Math.log2 ? Math.log2(o) : Math.log(o) / Math.LN2, Math.atan2(i.im, i.re) / Math.LN2);
  }
}), WF = "multiplyScalar", KF = ["typed"], JF = /* @__PURE__ */ P(WF, KF, (e) => {
  var {
    typed: r
  } = e;
  return r("multiplyScalar", {
    "number, number": Og,
    "Complex, Complex": function(n, a) {
      return n.mul(a);
    },
    "BigNumber, BigNumber": function(n, a) {
      return n.times(a);
    },
    "bigint, bigint": function(n, a) {
      return n * a;
    },
    "Fraction, Fraction": function(n, a) {
      return n.mul(a);
    },
    "number | Fraction | BigNumber | Complex, Unit": (t, n) => n.multiply(t),
    "Unit, number | Fraction | BigNumber | Complex | Unit": (t, n) => t.multiply(n)
  });
}), Pd = "multiply", YF = ["typed", "matrix", "addScalar", "multiplyScalar", "equalScalar", "dot"], jF = /* @__PURE__ */ P(Pd, YF, (e) => {
  var {
    typed: r,
    matrix: t,
    addScalar: n,
    multiplyScalar: a,
    equalScalar: i,
    dot: o
  } = e, l = Kr({
    typed: r,
    equalScalar: i
  }), u = Wt({
    typed: r
  });
  function s(w, g) {
    switch (w.length) {
      case 1:
        switch (g.length) {
          case 1:
            if (w[0] !== g[0])
              throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length");
            break;
          case 2:
            if (w[0] !== g[0])
              throw new RangeError("Dimension mismatch in multiplication. Vector length (" + w[0] + ") must match Matrix rows (" + g[0] + ")");
            break;
          default:
            throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has " + g.length + " dimensions)");
        }
        break;
      case 2:
        switch (g.length) {
          case 1:
            if (w[1] !== g[0])
              throw new RangeError("Dimension mismatch in multiplication. Matrix columns (" + w[1] + ") must match Vector length (" + g[0] + ")");
            break;
          case 2:
            if (w[1] !== g[0])
              throw new RangeError("Dimension mismatch in multiplication. Matrix A columns (" + w[1] + ") must match Matrix B rows (" + g[0] + ")");
            break;
          default:
            throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has " + g.length + " dimensions)");
        }
        break;
      default:
        throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has " + w.length + " dimensions)");
    }
  }
  function c(w, g, D) {
    if (D === 0)
      throw new Error("Cannot multiply two empty vectors");
    return o(w, g);
  }
  function f(w, g) {
    if (g.storage() !== "dense")
      throw new Error("Support for SparseMatrix not implemented");
    return d(w, g);
  }
  function d(w, g) {
    var D = w._data, E = w._size, N = w._datatype || w.getDataType(), S = g._data, M = g._size, F = g._datatype || g.getDataType(), $ = E[0], I = M[1], B, C = n, _ = a;
    N && F && N === F && typeof N == "string" && N !== "mixed" && (B = N, C = r.find(n, [B, B]), _ = r.find(a, [B, B]));
    for (var z = [], O = 0; O < I; O++) {
      for (var W = _(D[0], S[0][O]), X = 1; X < $; X++)
        W = C(W, _(D[X], S[X][O]));
      z[O] = W;
    }
    return w.createDenseMatrix({
      data: z,
      size: [I],
      datatype: N === w._datatype && F === g._datatype ? B : void 0
    });
  }
  var p = r("_multiplyMatrixVector", {
    "DenseMatrix, any": v,
    "SparseMatrix, any": A
  }), m = r("_multiplyMatrixMatrix", {
    "DenseMatrix, DenseMatrix": b,
    "DenseMatrix, SparseMatrix": y,
    "SparseMatrix, DenseMatrix": h,
    "SparseMatrix, SparseMatrix": x
  });
  function v(w, g) {
    var D = w._data, E = w._size, N = w._datatype || w.getDataType(), S = g._data, M = g._datatype || g.getDataType(), F = E[0], $ = E[1], I, B = n, C = a;
    N && M && N === M && typeof N == "string" && N !== "mixed" && (I = N, B = r.find(n, [I, I]), C = r.find(a, [I, I]));
    for (var _ = [], z = 0; z < F; z++) {
      for (var O = D[z], W = C(O[0], S[0]), X = 1; X < $; X++)
        W = B(W, C(O[X], S[X]));
      _[z] = W;
    }
    return w.createDenseMatrix({
      data: _,
      size: [F],
      datatype: N === w._datatype && M === g._datatype ? I : void 0
    });
  }
  function b(w, g) {
    var D = w._data, E = w._size, N = w._datatype || w.getDataType(), S = g._data, M = g._size, F = g._datatype || g.getDataType(), $ = E[0], I = E[1], B = M[1], C, _ = n, z = a;
    N && F && N === F && typeof N == "string" && N !== "mixed" && N !== "mixed" && (C = N, _ = r.find(n, [C, C]), z = r.find(a, [C, C]));
    for (var O = [], W = 0; W < $; W++) {
      var X = D[W];
      O[W] = [];
      for (var V = 0; V < B; V++) {
        for (var R = z(X[0], S[0][V]), Q = 1; Q < I; Q++)
          R = _(R, z(X[Q], S[Q][V]));
        O[W][V] = R;
      }
    }
    return w.createDenseMatrix({
      data: O,
      size: [$, B],
      datatype: N === w._datatype && F === g._datatype ? C : void 0
    });
  }
  function y(w, g) {
    var D = w._data, E = w._size, N = w._datatype || w.getDataType(), S = g._values, M = g._index, F = g._ptr, $ = g._size, I = g._datatype || g._data === void 0 ? g._datatype : g.getDataType();
    if (!S)
      throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix");
    var B = E[0], C = $[1], _, z = n, O = a, W = i, X = 0;
    N && I && N === I && typeof N == "string" && N !== "mixed" && (_ = N, z = r.find(n, [_, _]), O = r.find(a, [_, _]), W = r.find(i, [_, _]), X = r.convert(0, _));
    for (var V = [], R = [], Q = [], se = g.createSparseMatrix({
      values: V,
      index: R,
      ptr: Q,
      size: [B, C],
      datatype: N === w._datatype && I === g._datatype ? _ : void 0
    }), re = 0; re < C; re++) {
      Q[re] = R.length;
      var q = F[re], Z = F[re + 1];
      if (Z > q)
        for (var K = 0, j = 0; j < B; j++) {
          for (var ee = j + 1, te = void 0, oe = q; oe < Z; oe++) {
            var ge = M[oe];
            K !== ee ? (te = O(D[j][ge], S[oe]), K = ee) : te = z(te, O(D[j][ge], S[oe]));
          }
          K === ee && !W(te, X) && (R.push(j), V.push(te));
        }
    }
    return Q[C] = R.length, se;
  }
  function A(w, g) {
    var D = w._values, E = w._index, N = w._ptr, S = w._datatype || w._data === void 0 ? w._datatype : w.getDataType();
    if (!D)
      throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");
    var M = g._data, F = g._datatype || g.getDataType(), $ = w._size[0], I = g._size[0], B = [], C = [], _ = [], z, O = n, W = a, X = i, V = 0;
    S && F && S === F && typeof S == "string" && S !== "mixed" && (z = S, O = r.find(n, [z, z]), W = r.find(a, [z, z]), X = r.find(i, [z, z]), V = r.convert(0, z));
    var R = [], Q = [];
    _[0] = 0;
    for (var se = 0; se < I; se++) {
      var re = M[se];
      if (!X(re, V))
        for (var q = N[se], Z = N[se + 1], K = q; K < Z; K++) {
          var j = E[K];
          Q[j] ? R[j] = O(R[j], W(re, D[K])) : (Q[j] = !0, C.push(j), R[j] = W(re, D[K]));
        }
    }
    for (var ee = C.length, te = 0; te < ee; te++) {
      var oe = C[te];
      B[te] = R[oe];
    }
    return _[1] = C.length, w.createSparseMatrix({
      values: B,
      index: C,
      ptr: _,
      size: [$, 1],
      datatype: S === w._datatype && F === g._datatype ? z : void 0
    });
  }
  function h(w, g) {
    var D = w._values, E = w._index, N = w._ptr, S = w._datatype || w._data === void 0 ? w._datatype : w.getDataType();
    if (!D)
      throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");
    var M = g._data, F = g._datatype || g.getDataType(), $ = w._size[0], I = g._size[0], B = g._size[1], C, _ = n, z = a, O = i, W = 0;
    S && F && S === F && typeof S == "string" && S !== "mixed" && (C = S, _ = r.find(n, [C, C]), z = r.find(a, [C, C]), O = r.find(i, [C, C]), W = r.convert(0, C));
    for (var X = [], V = [], R = [], Q = w.createSparseMatrix({
      values: X,
      index: V,
      ptr: R,
      size: [$, B],
      datatype: S === w._datatype && F === g._datatype ? C : void 0
    }), se = [], re = [], q = 0; q < B; q++) {
      R[q] = V.length;
      for (var Z = q + 1, K = 0; K < I; K++) {
        var j = M[K][q];
        if (!O(j, W))
          for (var ee = N[K], te = N[K + 1], oe = ee; oe < te; oe++) {
            var ge = E[oe];
            re[ge] !== Z ? (re[ge] = Z, V.push(ge), se[ge] = z(j, D[oe])) : se[ge] = _(se[ge], z(j, D[oe]));
          }
      }
      for (var L = R[q], H = V.length, ne = L; ne < H; ne++) {
        var ie = V[ne];
        X[ne] = se[ie];
      }
    }
    return R[B] = V.length, Q;
  }
  function x(w, g) {
    var D = w._values, E = w._index, N = w._ptr, S = w._datatype || w._data === void 0 ? w._datatype : w.getDataType(), M = g._values, F = g._index, $ = g._ptr, I = g._datatype || g._data === void 0 ? g._datatype : g.getDataType(), B = w._size[0], C = g._size[1], _ = D && M, z, O = n, W = a;
    S && I && S === I && typeof S == "string" && S !== "mixed" && (z = S, O = r.find(n, [z, z]), W = r.find(a, [z, z]));
    for (var X = _ ? [] : void 0, V = [], R = [], Q = w.createSparseMatrix({
      values: X,
      index: V,
      ptr: R,
      size: [B, C],
      datatype: S === w._datatype && I === g._datatype ? z : void 0
    }), se = _ ? [] : void 0, re = [], q, Z, K, j, ee, te, oe, ge, L = 0; L < C; L++) {
      R[L] = V.length;
      var H = L + 1;
      for (ee = $[L], te = $[L + 1], j = ee; j < te; j++)
        if (ge = F[j], _)
          for (Z = N[ge], K = N[ge + 1], q = Z; q < K; q++)
            oe = E[q], re[oe] !== H ? (re[oe] = H, V.push(oe), se[oe] = W(M[j], D[q])) : se[oe] = O(se[oe], W(M[j], D[q]));
        else
          for (Z = N[ge], K = N[ge + 1], q = Z; q < K; q++)
            oe = E[q], re[oe] !== H && (re[oe] = H, V.push(oe));
      if (_)
        for (var ne = R[L], ie = V.length, me = ne; me < ie; me++) {
          var pe = V[me];
          X[me] = se[pe];
        }
    }
    return R[C] = V.length, Q;
  }
  return r(Pd, a, {
    // we extend the signatures of multiplyScalar with signatures dealing with matrices
    "Array, Array": r.referTo("Matrix, Matrix", (w) => (g, D) => {
      s(ke(g), ke(D));
      var E = w(t(g), t(D));
      return ze(E) ? E.valueOf() : E;
    }),
    "Matrix, Matrix": function(g, D) {
      var E = g.size(), N = D.size();
      return s(E, N), E.length === 1 ? N.length === 1 ? c(g, D, E[0]) : f(g, D) : N.length === 1 ? p(g, D) : m(g, D);
    },
    "Matrix, Array": r.referTo("Matrix,Matrix", (w) => (g, D) => w(g, t(D))),
    "Array, Matrix": r.referToSelf((w) => (g, D) => w(t(g, D.storage()), D)),
    "SparseMatrix, any": function(g, D) {
      return l(g, D, a, !1);
    },
    "DenseMatrix, any": function(g, D) {
      return u(g, D, a, !1);
    },
    "any, SparseMatrix": function(g, D) {
      return l(D, g, a, !0);
    },
    "any, DenseMatrix": function(g, D) {
      return u(D, g, a, !0);
    },
    "Array, any": function(g, D) {
      return u(t(g), D, a, !1).valueOf();
    },
    "any, Array": function(g, D) {
      return u(t(D), g, a, !0).valueOf();
    },
    "any, any": a,
    "any, any, ...any": r.referToSelf((w) => (g, D, E) => {
      for (var N = w(g, D), S = 0; S < E.length; S++)
        N = w(N, E[S]);
      return N;
    })
  });
}), zd = "nthRoot", XF = ["typed", "matrix", "equalScalar", "BigNumber", "concat"], QF = /* @__PURE__ */ P(zd, XF, (e) => {
  var {
    typed: r,
    matrix: t,
    equalScalar: n,
    BigNumber: a,
    concat: i
  } = e, o = ra({
    typed: r
  }), l = Kt({
    typed: r,
    equalScalar: n
  }), u = Rs({
    typed: r,
    equalScalar: n
  }), s = Kr({
    typed: r,
    equalScalar: n
  }), c = br({
    typed: r,
    matrix: t,
    concat: i
  });
  function f() {
    throw new Error("Complex number not supported in function nthRoot. Use nthRoots instead.");
  }
  return r(zd, {
    number: id,
    "number, number": id,
    BigNumber: (p) => d(p, new a(2)),
    "BigNumber, BigNumber": d,
    Complex: f,
    "Complex, number": f,
    Array: r.referTo("DenseMatrix,number", (p) => (m) => p(t(m), 2).valueOf()),
    DenseMatrix: r.referTo("DenseMatrix,number", (p) => (m) => p(m, 2)),
    SparseMatrix: r.referTo("SparseMatrix,number", (p) => (m) => p(m, 2)),
    "SparseMatrix, SparseMatrix": r.referToSelf((p) => (m, v) => {
      if (v.density() === 1)
        return u(m, v, p);
      throw new Error("Root must be non-zero");
    }),
    "DenseMatrix, SparseMatrix": r.referToSelf((p) => (m, v) => {
      if (v.density() === 1)
        return o(m, v, p, !1);
      throw new Error("Root must be non-zero");
    }),
    "Array, SparseMatrix": r.referTo("DenseMatrix,SparseMatrix", (p) => (m, v) => p(t(m), v)),
    "number | BigNumber, SparseMatrix": r.referToSelf((p) => (m, v) => {
      if (v.density() === 1)
        return s(v, m, p, !0);
      throw new Error("Root must be non-zero");
    })
  }, c({
    scalar: "number | BigNumber",
    SD: l,
    Ss: s,
    sS: !1
  }));
  function d(p, m) {
    var v = a.precision, b = a.clone({
      precision: v + 2
    }), y = new a(0), A = new b(1), h = m.isNegative();
    if (h && (m = m.neg()), m.isZero())
      throw new Error("Root must be non-zero");
    if (p.isNegative() && !m.abs().mod(2).equals(1))
      throw new Error("Root must be odd when a is negative.");
    if (p.isZero())
      return h ? new b(1 / 0) : 0;
    if (!p.isFinite())
      return h ? y : p;
    var x = p.abs().pow(A.div(m));
    return x = p.isNeg() ? x.neg() : x, new a((h ? A.div(x) : x).toPrecision(v));
  }
}), qd = "sign", eT = ["typed", "BigNumber", "Fraction", "complex"], rT = /* @__PURE__ */ P(qd, eT, (e) => {
  var {
    typed: r,
    BigNumber: t,
    complex: n,
    Fraction: a
  } = e;
  return r(qd, {
    number: Hu,
    Complex: function(o) {
      return o.im === 0 ? n(Hu(o.re)) : o.sign();
    },
    BigNumber: function(o) {
      return new t(o.cmp(0));
    },
    bigint: function(o) {
      return o > 0n ? 1n : o < 0n ? -1n : 0n;
    },
    Fraction: function(o) {
      return new a(o.s, 1);
    },
    // deep map collection, skip zeros since sign(0) = 0
    "Array | Matrix": r.referToSelf((i) => (o) => je(o, i)),
    Unit: r.referToSelf((i) => (o) => {
      if (!o._isDerived() && o.units[0].unit.offset !== 0)
        throw new TypeError("sign is ambiguous for units with offset");
      return r.find(i, o.valueType())(o.value);
    })
  });
}), tT = "sqrt", nT = ["config", "typed", "Complex"], aT = /* @__PURE__ */ P(tT, nT, (e) => {
  var {
    config: r,
    typed: t,
    Complex: n
  } = e;
  return t("sqrt", {
    number: a,
    Complex: function(o) {
      return o.sqrt();
    },
    BigNumber: function(o) {
      return !o.isNegative() || r.predictable ? o.sqrt() : a(o.toNumber());
    },
    Unit: function(o) {
      return o.pow(0.5);
    }
  });
  function a(i) {
    return isNaN(i) ? NaN : i >= 0 || r.predictable ? Math.sqrt(i) : new n(i, 0).sqrt();
  }
}), Ld = "square", iT = ["typed"], oT = /* @__PURE__ */ P(Ld, iT, (e) => {
  var {
    typed: r
  } = e;
  return r(Ld, {
    number: Ug,
    Complex: function(n) {
      return n.mul(n);
    },
    BigNumber: function(n) {
      return n.times(n);
    },
    bigint: function(n) {
      return n * n;
    },
    Fraction: function(n) {
      return n.mul(n);
    },
    Unit: function(n) {
      return n.pow(2);
    }
  });
}), Ud = "subtract", sT = ["typed", "matrix", "equalScalar", "subtractScalar", "unaryMinus", "DenseMatrix", "concat"], uT = /* @__PURE__ */ P(Ud, sT, (e) => {
  var {
    typed: r,
    matrix: t,
    equalScalar: n,
    subtractScalar: a,
    unaryMinus: i,
    DenseMatrix: o,
    concat: l
  } = e, u = ra({
    typed: r
  }), s = ut({
    typed: r
  }), c = Is({
    typed: r,
    equalScalar: n
  }), f = Da({
    typed: r,
    DenseMatrix: o
  }), d = Pr({
    typed: r,
    DenseMatrix: o
  }), p = br({
    typed: r,
    matrix: t,
    concat: l
  });
  return r(Ud, {
    "any, any": a
  }, p({
    elop: a,
    SS: c,
    DS: u,
    SD: s,
    Ss: d,
    sS: f
  }));
}), kd = "xgcd", lT = ["typed", "config", "matrix", "BigNumber"], cT = /* @__PURE__ */ P(kd, lT, (e) => {
  var {
    typed: r,
    config: t,
    matrix: n,
    BigNumber: a
  } = e;
  return r(kd, {
    "number, number": function(l, u) {
      var s = kg(l, u);
      return t.matrix === "Array" ? s : n(s);
    },
    "BigNumber, BigNumber": i
    // TODO: implement support for Fraction
  });
  function i(o, l) {
    var u, s, c, f = new a(0), d = new a(1), p = f, m = d, v = d, b = f;
    if (!o.isInt() || !l.isInt())
      throw new Error("Parameters in function xgcd must be integer numbers");
    for (; !l.isZero(); )
      s = o.div(l).floor(), c = o.mod(l), u = p, p = m.minus(s.times(p)), m = u, u = v, v = b.minus(s.times(v)), b = u, o = l, l = c;
    var y;
    return o.lt(f) ? y = [o.neg(), m.neg(), b.neg()] : y = [o, o.isZero() ? 0 : m, b], t.matrix === "Array" ? y : n(y);
  }
}), Vd = "invmod", fT = ["typed", "config", "BigNumber", "xgcd", "equal", "smaller", "mod", "add", "isInteger"], dT = /* @__PURE__ */ P(Vd, fT, (e) => {
  var {
    typed: r,
    config: t,
    BigNumber: n,
    xgcd: a,
    equal: i,
    smaller: o,
    mod: l,
    add: u,
    isInteger: s
  } = e;
  return r(Vd, {
    "number, number": c,
    "BigNumber, BigNumber": c
  });
  function c(f, d) {
    if (!s(f) || !s(d)) throw new Error("Parameters in function invmod must be integer numbers");
    if (f = l(f, d), i(d, 0)) throw new Error("Divisor must be non zero");
    var p = a(f, d);
    p = p.valueOf();
    var [m, v] = p;
    return i(m, n(1)) ? (v = l(v, d), o(v, n(0)) && (v = u(v, d)), v) : NaN;
  }
}), pT = "matAlgo09xS0Sf", mT = ["typed", "equalScalar"], Ay = /* @__PURE__ */ P(pT, mT, (e) => {
  var {
    typed: r,
    equalScalar: t
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    var l = a._values, u = a._index, s = a._ptr, c = a._size, f = a._datatype || a._data === void 0 ? a._datatype : a.getDataType(), d = i._values, p = i._index, m = i._ptr, v = i._size, b = i._datatype || i._data === void 0 ? i._datatype : i.getDataType();
    if (c.length !== v.length)
      throw new Ye(c.length, v.length);
    if (c[0] !== v[0] || c[1] !== v[1])
      throw new RangeError("Dimension mismatch. Matrix A (" + c + ") must match Matrix B (" + v + ")");
    var y = c[0], A = c[1], h, x = t, w = 0, g = o;
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      if (S)
        for (B = m[$], C = m[$ + 1], I = B; I < C; I++)
          F = p[I], M[F] = _, S[F] = d[I];
      for (B = s[$], C = s[$ + 1], I = B; I < C; I++)
        if (F = u[I], S) {
          var z = M[F] === _ ? S[F] : w, O = g(l[I], z);
          x(O, w) || (E.push(F), D.push(O));
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          E.push(F);
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      index: E,
      ptr: N,
      size: [y, A],
      datatype: f === a._datatype && b === i._datatype ? h : void 0
    });
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}), Hd = "dotMultiply", vT = ["typed", "matrix", "equalScalar", "multiplyScalar", "concat"], hT = /* @__PURE__ */ P(Hd, vT, (e) => {
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    typed: r,
    matrix: t,
    equalScalar: n,
    multiplyScalar: a,
    concat: i
  } = e, o = Kt({
    typed: r,
    equalScalar: n
  }), l = Ay({
    typed: r,
    equalScalar: n
  }), u = Kr({
    typed: r,
    equalScalar: n
  }), s = br({
    typed: r,
    matrix: t,
    concat: i
  });
  return r(Hd, s({
    elop: a,
    SS: l,
    DS: o,
    Ss: u
  }));
});
function gT(e, r) {
  if (e.isFinite() && !e.isInteger() || r.isFinite() && !r.isInteger())
    throw new Error("Integers expected in function bitAnd");
  var t = e.constructor;
  if (e.isNaN() || r.isNaN())
    return new t(NaN);
  if (e.isZero() || r.eq(-1) || e.eq(r))
    return e;
  if (r.isZero() || e.eq(-1))
    return r;
  if (!e.isFinite() || !r.isFinite()) {
    if (!e.isFinite() && !r.isFinite())
      return e.isNegative() === r.isNegative() ? e : new t(0);
    if (!e.isFinite())
      return r.isNegative() ? e : e.isNegative() ? new t(0) : r;
    if (!r.isFinite())
      return e.isNegative() ? r : r.isNegative() ? new t(0) : e;
  }
  return Jl(e, r, function(n, a) {
    return n & a;
  });
}
function qi(e) {
  if (e.isFinite() && !e.isInteger())
    throw new Error("Integer expected in function bitNot");
  var r = e.constructor, t = r.precision;
  r.config({
    precision: 1e9
  });
  var n = e.plus(new r(1));
  return n.s = -n.s || null, r.config({
    precision: t
  }), n;
}
function yT(e, r) {
  if (e.isFinite() && !e.isInteger() || r.isFinite() && !r.isInteger())
    throw new Error("Integers expected in function bitOr");
  var t = e.constructor;
  if (e.isNaN() || r.isNaN())
    return new t(NaN);
  var n = new t(-1);
  return e.isZero() || r.eq(n) || e.eq(r) ? r : r.isZero() || e.eq(n) ? e : !e.isFinite() || !r.isFinite() ? !e.isFinite() && !e.isNegative() && r.isNegative() || e.isNegative() && !r.isNegative() && !r.isFinite() ? n : e.isNegative() && r.isNegative() ? e.isFinite() ? e : r : e.isFinite() ? r : e : Jl(e, r, function(a, i) {
    return a | i;
  });
}
function Jl(e, r, t) {
  var n = e.constructor, a, i, o = +(e.s < 0), l = +(r.s < 0);
  if (o) {
    a = mo(qi(e));
    for (var u = 0; u < a.length; ++u)
      a[u] ^= 1;
  } else
    a = mo(e);
  if (l) {
    i = mo(qi(r));
    for (var s = 0; s < i.length; ++s)
      i[s] ^= 1;
  } else
    i = mo(r);
  var c, f, d;
  a.length <= i.length ? (c = a, f = i, d = o) : (c = i, f = a, d = l);
  var p = c.length, m = f.length, v = t(o, l) ^ 1, b = new n(v ^ 1), y = new n(1), A = new n(2), h = n.precision;
  for (n.config({
    precision: 1e9
  }); p > 0; )
    t(c[--p], f[--m]) === v && (b = b.plus(y)), y = y.times(A);
  for (; m > 0; )
    t(d, f[--m]) === v && (b = b.plus(y)), y = y.times(A);
  return n.config({
    precision: h
  }), v === 0 && (b.s = -b.s), b;
}
function mo(e) {
  for (var r = e.d, t = r[0] + "", n = 1; n < r.length; ++n) {
    for (var a = r[n] + "", i = 7 - a.length; i--; )
      a = "0" + a;
    t += a;
  }
  for (var o = t.length; t.charAt(o) === "0"; )
    o--;
  var l = e.e, u = t.slice(0, o + 1 || 1), s = u.length;
  if (l > 0)
    if (++l > s)
      for (l -= s; l--; )
        u += "0";
    else l < s && (u = u.slice(0, l) + "." + u.slice(l));
  for (var c = [0], f = 0; f < u.length; ) {
    for (var d = c.length; d--; )
      c[d] *= 10;
    c[0] += parseInt(u.charAt(f++));
    for (var p = 0; p < c.length; ++p)
      c[p] > 1 && ((c[p + 1] === null || c[p + 1] === void 0) && (c[p + 1] = 0), c[p + 1] += c[p] >> 1, c[p] &= 1);
  }
  return c.reverse();
}
function bT(e, r) {
  if (e.isFinite() && !e.isInteger() || r.isFinite() && !r.isInteger())
    throw new Error("Integers expected in function bitXor");
  var t = e.constructor;
  if (e.isNaN() || r.isNaN())
    return new t(NaN);
  if (e.isZero())
    return r;
  if (r.isZero())
    return e;
  if (e.eq(r))
    return new t(0);
  var n = new t(-1);
  return e.eq(n) ? qi(r) : r.eq(n) ? qi(e) : !e.isFinite() || !r.isFinite() ? !e.isFinite() && !r.isFinite() ? n : new t(e.isNegative() === r.isNegative() ? 1 / 0 : -1 / 0) : Jl(e, r, function(a, i) {
    return a ^ i;
  });
}
function wT(e, r) {
  if (e.isFinite() && !e.isInteger() || r.isFinite() && !r.isInteger())
    throw new Error("Integers expected in function leftShift");
  var t = e.constructor;
  return e.isNaN() || r.isNaN() || r.isNegative() && !r.isZero() ? new t(NaN) : e.isZero() || r.isZero() ? e : !e.isFinite() && !r.isFinite() ? new t(NaN) : r.lt(55) ? e.times(Math.pow(2, r.toNumber()) + "") : e.times(new t(2).pow(r));
}
function xT(e, r) {
  if (e.isFinite() && !e.isInteger() || r.isFinite() && !r.isInteger())
    throw new Error("Integers expected in function rightArithShift");
  var t = e.constructor;
  return e.isNaN() || r.isNaN() || r.isNegative() && !r.isZero() ? new t(NaN) : e.isZero() || r.isZero() ? e : r.isFinite() ? r.lt(55) ? e.div(Math.pow(2, r.toNumber()) + "").floor() : e.div(new t(2).pow(r)).floor() : e.isNegative() ? new t(-1) : e.isFinite() ? new t(0) : new t(NaN);
}
var Zd = "bitAnd", AT = ["typed", "matrix", "equalScalar", "concat"], Ny = /* @__PURE__ */ P(Zd, AT, (e) => {
  var {
    typed: r,
    matrix: t,
    equalScalar: n,
    concat: a
  } = e, i = Kt({
    typed: r,
    equalScalar: n
  }), o = Rs({
    typed: r,
    equalScalar: n
  }), l = Kr({
    typed: r,
    equalScalar: n
  }), u = br({
    typed: r,
    matrix: t,
    concat: a
  });
  return r(Zd, {
    "number, number": Hg,
    "BigNumber, BigNumber": gT,
    "bigint, bigint": (s, c) => s & c
  }, u({
    SS: o,
    DS: i,
    Ss: l
  }));
}), Gd = "bitNot", NT = ["typed"], DT = /* @__PURE__ */ P(Gd, NT, (e) => {
  var {
    typed: r
  } = e;
  return r(Gd, {
    number: Zg,
    BigNumber: qi,
    bigint: (t) => ~t,
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
  });
}), Wd = "bitOr", ET = ["typed", "matrix", "equalScalar", "DenseMatrix", "concat"], Dy = /* @__PURE__ */ P(Wd, ET, (e) => {
  var {
    typed: r,
    matrix: t,
    equalScalar: n,
    DenseMatrix: a,
    concat: i
  } = e, o = ra({
    typed: r
  }), l = Kl({
    typed: r,
    equalScalar: n
  }), u = Da({
    typed: r,
    DenseMatrix: a
  }), s = br({
    typed: r,
    matrix: t,
    concat: i
  });
  return r(Wd, {
    "number, number": Gg,
    "BigNumber, BigNumber": yT,
    "bigint, bigint": (c, f) => c | f
  }, s({
    SS: l,
    DS: o,
    Ss: u
  }));
}), ST = "matAlgo07xSSf", CT = ["typed", "DenseMatrix"], on = /* @__PURE__ */ P(ST, CT, (e) => {
  var {
    typed: r,
    DenseMatrix: t
  } = e;
  return function(i, o, l) {
    var u = i._size, s = i._datatype || i._data === void 0 ? i._datatype : i.getDataType(), c = o._size, f = o._datatype || o._data === void 0 ? o._datatype : o.getDataType();
    if (u.length !== c.length)
      throw new Ye(u.length, c.length);
    if (u[0] !== c[0] || u[1] !== c[1])
      throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + c + ")");
    var d = u[0], p = u[1], m, v = 0, b = l;
    typeof s == "string" && s === f && s !== "mixed" && (m = s, v = r.convert(0, m), b = r.find(l, [m, m]));
    var y, A, h = [];
    for (y = 0; y < d; y++)
      h[y] = [];
    var x = [], w = [], g = [], D = [];
    for (A = 0; A < p; A++) {
      var E = A + 1;
      for (n(i, A, g, x, E), n(o, A, D, w, E), y = 0; y < d; y++) {
        var N = g[y] === E ? x[y] : v, S = D[y] === E ? w[y] : v;
        h[y][A] = b(N, S);
      }
    }
    return new t({
      data: h,
      size: [d, p],
      datatype: s === i._datatype && f === o._datatype ? m : void 0
    });
  };
  function n(a, i, o, l, u) {
    for (var s = a._values, c = a._index, f = a._ptr, d = f[i], p = f[i + 1]; d < p; d++) {
      var m = c[d];
      o[m] = u, l[m] = s[d];
    }
  }
}), Kd = "bitXor", MT = ["typed", "matrix", "DenseMatrix", "concat"], _T = /* @__PURE__ */ P(Kd, MT, (e) => {
  var {
    typed: r,
    matrix: t,
    DenseMatrix: n,
    concat: a
  } = e, i = ut({
    typed: r
  }), o = on({
    typed: r,
    DenseMatrix: n
  }), l = Pr({
    typed: r,
    DenseMatrix: n
  }), u = br({
    typed: r,
    matrix: t,
    concat: a
  });
  return r(Kd, {
    "number, number": Wg,
    "BigNumber, BigNumber": bT,
    "bigint, bigint": (s, c) => s ^ c
  }, u({
    SS: o,
    DS: i,
    Ss: l
  }));
}), Jd = "arg", FT = ["typed"], TT = /* @__PURE__ */ P(Jd, FT, (e) => {
  var {
    typed: r
  } = e;
  return r(Jd, {
    number: function(n) {
      return Math.atan2(0, n);
    },
    BigNumber: function(n) {
      return n.constructor.atan2(0, n);
    },
    Complex: function(n) {
      return n.arg();
    },
    // TODO: implement BigNumber support for function arg
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
  });
}), Yd = "conj", OT = ["typed"], BT = /* @__PURE__ */ P(Yd, OT, (e) => {
  var {
    typed: r
  } = e;
  return r(Yd, {
    "number | BigNumber | Fraction": (t) => t,
    Complex: (t) => t.conjugate(),
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
  });
}), jd = "im", $T = ["typed"], IT = /* @__PURE__ */ P(jd, $T, (e) => {
  var {
    typed: r
  } = e;
  return r(jd, {
    number: () => 0,
    "BigNumber | Fraction": (t) => t.mul(0),
    Complex: (t) => t.im,
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
  });
}), Xd = "re", RT = ["typed"], PT = /* @__PURE__ */ P(Xd, RT, (e) => {
  var {
    typed: r
  } = e;
  return r(Xd, {
    "number | BigNumber | Fraction": (t) => t,
    Complex: (t) => t.re,
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
  });
}), Qd = "not", zT = ["typed"], qT = /* @__PURE__ */ P(Qd, zT, (e) => {
  var {
    typed: r
  } = e;
  return r(Qd, {
    "null | undefined": () => !0,
    number: Xg,
    Complex: function(n) {
      return n.re === 0 && n.im === 0;
    },
    BigNumber: function(n) {
      return n.isZero() || n.isNaN();
    },
    bigint: (t) => !t,
    Unit: r.referToSelf((t) => (n) => r.find(t, n.valueType())(n.value)),
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
  });
}), ep = "or", LT = ["typed", "matrix", "equalScalar", "DenseMatrix", "concat"], Ey = /* @__PURE__ */ P(ep, LT, (e) => {
  var {
    typed: r,
    matrix: t,
    equalScalar: n,
    DenseMatrix: a,
    concat: i
  } = e, o = ut({
    typed: r
  }), l = Is({
    typed: r,
    equalScalar: n
  }), u = Pr({
    typed: r,
    DenseMatrix: a
  }), s = br({
    typed: r,
    matrix: t,
    concat: i
  });
  return r(ep, {
    "number, number": Zu,
    "Complex, Complex": function(f, d) {
      return f.re !== 0 || f.im !== 0 || d.re !== 0 || d.im !== 0;
    },
    "BigNumber, BigNumber": function(f, d) {
      return !f.isZero() && !f.isNaN() || !d.isZero() && !d.isNaN();
    },
    "bigint, bigint": Zu,
    "Unit, Unit": r.referToSelf((c) => (f, d) => c(f.value || 0, d.value || 0))
  }, s({
    SS: l,
    DS: o,
    Ss: u
  }));
}), rp = "xor", UT = ["typed", "matrix", "DenseMatrix", "concat"], kT = /* @__PURE__ */ P(rp, UT, (e) => {
  var {
    typed: r,
    matrix: t,
    DenseMatrix: n,
    concat: a
  } = e, i = ut({
    typed: r
  }), o = on({
    typed: r,
    DenseMatrix: n
  }), l = Pr({
    typed: r,
    DenseMatrix: n
  }), u = br({
    typed: r,
    matrix: t,
    concat: a
  });
  return r(rp, {
    "number, number": Gu,
    "Complex, Complex": function(c, f) {
      return (c.re !== 0 || c.im !== 0) != (f.re !== 0 || f.im !== 0);
    },
    "bigint, bigint": Gu,
    "BigNumber, BigNumber": function(c, f) {
      return (!c.isZero() && !c.isNaN()) != (!f.isZero() && !f.isNaN());
    },
    "Unit, Unit": r.referToSelf((s) => (c, f) => s(c.value || 0, f.value || 0))
  }, u({
    SS: o,
    DS: i,
    Ss: l
  }));
}), tp = "concat", VT = ["typed", "matrix", "isInteger"], Sy = /* @__PURE__ */ P(tp, VT, (e) => {
  var {
    typed: r,
    matrix: t,
    isInteger: n
  } = e;
  return r(tp, {
    // TODO: change signature to '...Array | Matrix, dim?' when supported
    "...Array | Matrix | number | BigNumber": function(i) {
      var o, l = i.length, u = -1, s, c = !1, f = [];
      for (o = 0; o < l; o++) {
        var d = i[o];
        if (ze(d) && (c = !0), We(d) || Ze(d)) {
          if (o !== l - 1)
            throw new Error("Dimension must be specified as last argument");
          if (s = u, u = d.valueOf(), !n(u))
            throw new TypeError("Integer number expected for dimension");
          if (u < 0 || o > 0 && u > s)
            throw new $t(u, s + 1);
        } else {
          var p = qe(d).valueOf(), m = ke(p);
          if (f[o] = p, s = u, u = m.length - 1, o > 0 && u !== s)
            throw new Ye(s + 1, u + 1);
        }
      }
      if (f.length === 0)
        throw new SyntaxError("At least one matrix expected");
      for (var v = f.shift(); f.length; )
        v = Sg(v, f.shift(), u);
      return c ? t(v) : v;
    },
    "...string": function(i) {
      return i.join("");
    }
  });
}), np = "column", HT = ["typed", "Index", "matrix", "range"], Cy = /* @__PURE__ */ P(np, HT, (e) => {
  var {
    typed: r,
    Index: t,
    matrix: n,
    range: a
  } = e;
  return r(np, {
    "Matrix, number": i,
    "Array, number": function(l, u) {
      return i(n(qe(l)), u).valueOf();
    }
  });
  function i(o, l) {
    if (o.size().length !== 2)
      throw new Error("Only two dimensional matrix is supported");
    gr(l, o.size()[1]);
    var u = a(0, o.size()[0]), s = new t(u, l), c = o.subset(s);
    return ze(c) ? c : n([[c]]);
  }
}), ap = "count", ZT = ["typed", "size", "prod"], GT = /* @__PURE__ */ P(ap, ZT, (e) => {
  var {
    typed: r,
    size: t,
    prod: n
  } = e;
  return r(ap, {
    string: function(i) {
      return i.length;
    },
    "Matrix | Array": function(i) {
      return n(t(i));
    }
  });
}), ip = "cross", WT = ["typed", "matrix", "subtract", "multiply"], KT = /* @__PURE__ */ P(ip, WT, (e) => {
  var {
    typed: r,
    matrix: t,
    subtract: n,
    multiply: a
  } = e;
  return r(ip, {
    "Matrix, Matrix": function(l, u) {
      return t(i(l.toArray(), u.toArray()));
    },
    "Matrix, Array": function(l, u) {
      return t(i(l.toArray(), u));
    },
    "Array, Matrix": function(l, u) {
      return t(i(l, u.toArray()));
    },
    "Array, Array": i
  });
  function i(o, l) {
    var u = Math.max(ke(o).length, ke(l).length);
    o = Yo(o), l = Yo(l);
    var s = ke(o), c = ke(l);
    if (s.length !== 1 || c.length !== 1 || s[0] !== 3 || c[0] !== 3)
      throw new RangeError("Vectors with length 3 expected (Size A = [" + s.join(", ") + "], B = [" + c.join(", ") + "])");
    var f = [n(a(o[1], l[2]), a(o[2], l[1])), n(a(o[2], l[0]), a(o[0], l[2])), n(a(o[0], l[1]), a(o[1], l[0]))];
    return u > 1 ? [f] : f;
  }
}), op = "diag", JT = ["typed", "matrix", "DenseMatrix", "SparseMatrix"], YT = /* @__PURE__ */ P(op, JT, (e) => {
  var {
    typed: r,
    matrix: t,
    DenseMatrix: n,
    SparseMatrix: a
  } = e;
  return r(op, {
    // FIXME: simplify this huge amount of signatures as soon as typed-function supports optional arguments
    Array: function(s) {
      return i(s, 0, ke(s), null);
    },
    "Array, number": function(s, c) {
      return i(s, c, ke(s), null);
    },
    "Array, BigNumber": function(s, c) {
      return i(s, c.toNumber(), ke(s), null);
    },
    "Array, string": function(s, c) {
      return i(s, 0, ke(s), c);
    },
    "Array, number, string": function(s, c, f) {
      return i(s, c, ke(s), f);
    },
    "Array, BigNumber, string": function(s, c, f) {
      return i(s, c.toNumber(), ke(s), f);
    },
    Matrix: function(s) {
      return i(s, 0, s.size(), s.storage());
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      return i(s, c, s.size(), s.storage());
    },
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      return i(s, c.toNumber(), s.size(), s.storage());
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    "Matrix, string": function(s, c) {
      return i(s, 0, s.size(), c);
    },
    "Matrix, number, string": function(s, c, f) {
      return i(s, c, s.size(), f);
    },
    "Matrix, BigNumber, string": function(s, c, f) {
      return i(s, c.toNumber(), s.size(), f);
    }
  });
  function i(u, s, c, f) {
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      case 1:
        return o(u, s, f, c[0], p, d);
      case 2:
        return l(u, s, f, c, p, d);
    }
    throw new RangeError("Matrix for function diag must be 2 dimensional");
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  function o(u, s, c, f, d, p) {
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    if (c && c !== "sparse" && c !== "dense")
      throw new TypeError("Unknown matrix type ".concat(c, '"'));
    var v = c === "sparse" ? a.diagonal(m, u, s) : n.diagonal(m, u, s);
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  function l(u, s, c, f, d, p) {
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      var m = u.diagonal(s);
      return c !== null ? c !== m.storage() ? t(m, c) : m : m.valueOf();
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      b[y] = u[y + d][y + p];
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  }
}), jT = "filter", XT = ["typed"], My = /* @__PURE__ */ P(jT, XT, (e) => {
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    typed: r
  } = e;
  return r("filter", {
    "Array, function": sp,
    "Matrix, function": function(n, a) {
      return n.create(sp(n.valueOf(), a), n.datatype());
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    "Array, RegExp": Qf,
    "Matrix, RegExp": function(n, a) {
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});
function sp(e, r) {
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}
var up = "flatten", QT = ["typed"], e4 = /* @__PURE__ */ P(up, QT, (e) => {
  var {
    typed: r
  } = e;
  return r(up, {
    Array: function(n) {
      return sr(n);
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    Matrix: function(n) {
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  });
}), ju = "forEach", r4 = ["typed"], _y = /* @__PURE__ */ P(ju, r4, (e) => {
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    typed: r
  } = e;
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    "Array, function": t4,
    "Matrix, function": function(n, a) {
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});
function t4(e, r) {
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}
var lp = "getMatrixDataType", n4 = ["typed"], a4 = /* @__PURE__ */ P(lp, n4, (e) => {
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    typed: r
  } = e;
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    Array: function(n) {
      return Bs(n, yr);
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    Matrix: function(n) {
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    }
  });
}), cp = "identity", i4 = ["typed", "config", "matrix", "BigNumber", "DenseMatrix", "SparseMatrix"], o4 = /* @__PURE__ */ P(cp, i4, (e) => {
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    typed: r,
    config: t,
    matrix: n,
    BigNumber: a,
    DenseMatrix: i,
    SparseMatrix: o
  } = e;
  return r(cp, {
    "": function() {
      return t.matrix === "Matrix" ? n([]) : [];
    },
    string: function(c) {
      return n(c);
    },
    "number | BigNumber": function(c) {
      return u(c, c, t.matrix === "Matrix" ? "dense" : void 0);
    },
    "number | BigNumber, string": function(c, f) {
      return u(c, c, f);
    },
    "number | BigNumber, number | BigNumber": function(c, f) {
      return u(c, f, t.matrix === "Matrix" ? "dense" : void 0);
    },
    "number | BigNumber, number | BigNumber, string": function(c, f, d) {
      return u(c, f, d);
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  function l(s, c) {
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      case 1:
        return u(s[0], s[0], c);
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  function u(s, c, f) {
    var d = Ze(s) || Ze(c) ? a : null;
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      throw new Error("Parameters in function identity must be positive integers");
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      if (f === "sparse")
        return o.diagonal(v, p, 0, m);
      if (f === "dense")
        return i.diagonal(v, p, 0, m);
      throw new TypeError('Unknown matrix type "'.concat(f, '"'));
    }
    for (var b = ri([], v, m), y = s < c ? s : c, A = 0; A < y; A++)
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  }
}), fp = "kron", s4 = ["typed", "matrix", "multiplyScalar"], u4 = /* @__PURE__ */ P(fp, s4, (e) => {
  var {
    typed: r,
    matrix: t,
    multiplyScalar: n
  } = e;
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    "Matrix, Matrix": function(o, l) {
      return t(a(o.toArray(), l.toArray()));
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    "Matrix, Array": function(o, l) {
      return t(a(o.toArray(), l));
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    "Array, Matrix": function(o, l) {
      return t(a(o, l.toArray()));
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    "Array, Array": a
  });
  function a(i, o) {
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    var l = [], u = [];
    return i.map(function(s) {
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        return u = [], l.push(u), s.map(function(f) {
          return c.map(function(d) {
            return u.push(n(f, d));
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        });
      });
    }) && l;
  }
}), pu = "map", l4 = ["typed"], Fy = /* @__PURE__ */ P(pu, l4, (e) => {
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    typed: r
  } = e;
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    "Array, function": n,
    "Matrix, function": function(i, o) {
      return i.map(o);
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    "Array|Matrix, Array|Matrix, ...Array|Matrix|function": (a, i, o) => t([a, i, ...o.slice(0, o.length - 1)], o[o.length - 1])
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  function t(a, i) {
    if (typeof i != "function")
      throw new Error("Last argument must be a callback function");
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      var f = l.map(() => 0), d = s.map((x) => u(x, f)), p = h(i, d, f, s);
      c = y(p);
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      var m = a.length, v = A(i, m);
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    function y(x) {
      switch (x) {
        case 0:
          return (w) => i(...w);
        case 1:
          return (w, g) => i(...w, g);
        case 2:
          return (w, g) => i(...w, g, ...s);
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    function A(x, w) {
      return x.length > w + 1 ? 2 : x.length === w + 1 ? 1 : 0;
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    function h(x, w, g, D) {
      return r.resolve(x, [...w, g, ...D]) !== null ? 2 : r.resolve(x, [...w, g]) !== null ? 1 : (r.resolve(x, w) !== null, 0);
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  }
  function n(a, i) {
    return Hl(a, [], a, ha(i, a, pu));
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    typed: r,
    matrix: t,
    subtract: n,
    number: a
  } = e;
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    "Array | Matrix": function(c) {
      return ze(c) ? t(o(c.toArray())) : o(c);
    },
    "Array | Matrix, number": function(c, f) {
      if (!Oe(f)) throw new RangeError("Dimension must be a whole number");
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  });
  function i(s, c) {
    if (ze(s) && (s = s.toArray()), !Array.isArray(s))
      throw RangeError("Array/Matrix does not have that many dimensions");
    if (c > 0) {
      var f = [];
      return s.forEach((d) => {
        f.push(i(d, c - 1));
      }), f;
    } else {
      if (c === 0)
        return o(s);
      throw RangeError("Cannot have negative dimension");
    }
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  function o(s) {
    for (var c = [], f = s.length, d = 1; d < f; d++)
      c.push(l(s[d - 1], s[d]));
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  function l(s, c) {
    ze(s) && (s = s.toArray()), ze(c) && (c = c.toArray());
    var f = Array.isArray(s), d = Array.isArray(c);
    if (f && d)
      return u(s, c);
    if (!f && !d)
      return n(c, s);
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  function u(s, c) {
    if (s.length !== c.length)
      throw RangeError("Not all sub-arrays have the same length");
    for (var f = [], d = s.length, p = 0; p < d; p++)
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  var {
    typed: r,
    config: t,
    matrix: n,
    BigNumber: a
  } = e;
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    "": function() {
      return t.matrix === "Array" ? i([]) : i([], "default");
    },
    // math.ones(m, n, p, ..., format)
    // TODO: more accurate signature '...number | BigNumber, string' as soon as typed-function supports this
    "...number | BigNumber | string": function(s) {
      var c = s[s.length - 1];
      if (typeof c == "string") {
        var f = s.pop();
        return i(s, f);
      } else return t.matrix === "Array" ? i(s) : i(s, "default");
    },
    Array: i,
    Matrix: function(s) {
      var c = s.storage();
      return i(s.valueOf(), c);
    },
    "Array | Matrix, string": function(s, c) {
      return i(s.valueOf(), c);
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  function i(u, s) {
    var c = o(u), f = c ? new a(1) : 1;
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      var d = n(s);
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      var p = [];
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});
function Yl() {
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function Oy() {
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}
function By() {
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}
var pp = "range", m4 = ["typed", "config", "?matrix", "?bignumber", "smaller", "smallerEq", "larger", "largerEq", "add", "isPositive"], $y = /* @__PURE__ */ P(pp, m4, (e) => {
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    typed: r,
    config: t,
    matrix: n,
    bignumber: a,
    smaller: i,
    smallerEq: o,
    larger: l,
    largerEq: u,
    add: s,
    isPositive: c
  } = e;
  return r(pp, {
    // TODO: simplify signatures when typed-function supports default values and optional arguments
    // TODO: a number or boolean should not be converted to string here
    string: d,
    "string, boolean": d,
    "number, number": function(b, y) {
      return f(p(b, y, 1, !1));
    },
    "number, number, number": function(b, y, A) {
      return f(p(b, y, A, !1));
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    "number, number, boolean": function(b, y, A) {
      return f(p(b, y, 1, A));
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    "number, number, number, boolean": function(b, y, A, h) {
      return f(p(b, y, A, h));
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    "BigNumber, BigNumber": function(b, y) {
      var A = b.constructor;
      return f(p(b, y, new A(1), !1));
    },
    "BigNumber, BigNumber, BigNumber": function(b, y, A) {
      return f(p(b, y, A, !1));
    },
    "BigNumber, BigNumber, boolean": function(b, y, A) {
      var h = b.constructor;
      return f(p(b, y, new h(1), A));
    },
    "BigNumber, BigNumber, BigNumber, boolean": function(b, y, A, h) {
      return f(p(b, y, A, h));
    },
    "Unit, Unit, Unit": function(b, y, A) {
      return f(p(b, y, A, !1));
    },
    "Unit, Unit, Unit, boolean": function(b, y, A, h) {
      return f(p(b, y, A, h));
    }
  });
  function f(v) {
    return t.matrix === "Matrix" ? n ? n(v) : By() : v;
  }
  function d(v, b) {
    var y = m(v);
    if (!y)
      throw new SyntaxError('String "' + v + '" is no valid range');
    return t.number === "BigNumber" ? (a === void 0 && Yl(), f(p(a(y.start), a(y.end), a(y.step)))) : f(p(y.start, y.end, y.step, b));
  }
  function p(v, b, y, A) {
    for (var h = [], x = c(y) ? A ? o : i : A ? u : l, w = v; x(w, b); )
      h.push(w), w = s(w, y);
    return h;
  }
  function m(v) {
    var b = v.split(":"), y = b.map(function(h) {
      return Number(h);
    }), A = y.some(function(h) {
      return isNaN(h);
    });
    if (A)
      return null;
    switch (y.length) {
      case 2:
        return {
          start: y[0],
          end: y[1],
          step: 1
        };
      case 3:
        return {
          start: y[0],
          end: y[2],
          step: y[1]
        };
      default:
        return null;
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  }
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  var {
    typed: r,
    isInteger: t
  } = e;
  return r(mp, {
    "Matrix, Array": function(a, i) {
      return a.reshape(i, !0);
    },
    "Array, Array": function(a, i) {
      return i.forEach(function(o) {
        if (!t(o))
          throw new TypeError("Invalid size for dimension: " + o);
      }), Ll(a, i);
    }
  });
}), g4 = "resize", y4 = ["config", "matrix"], b4 = /* @__PURE__ */ P(g4, y4, (e) => {
  var {
    config: r,
    matrix: t
  } = e;
  return function(i, o, l) {
    if (arguments.length !== 2 && arguments.length !== 3)
      throw new Fn("resize", arguments.length, 2, 3);
    if (ze(o) && (o = o.valueOf()), Ze(o[0]) && (o = o.map(function(c) {
      return Ze(c) ? c.toNumber() : c;
    })), ze(i))
      return i.resize(o, l, !0);
    if (typeof i == "string")
      return n(i, o, l);
    var u = Array.isArray(i) ? !1 : r.matrix !== "Array";
    if (o.length === 0) {
      for (; Array.isArray(i); )
        i = i[0];
      return qe(i);
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      Array.isArray(i) || (i = [i]), i = qe(i);
      var s = ri(i, o, l);
      return u ? t(s) : s;
    }
  };
  function n(a, i, o) {
    if (o !== void 0) {
      if (typeof o != "string" || o.length !== 1)
        throw new TypeError("Single character expected as defaultValue");
    } else
      o = " ";
    if (i.length !== 1)
      throw new Ye(i.length, 1);
    var l = i[0];
    if (typeof l != "number" || !Oe(l))
      throw new TypeError("Invalid size, must contain positive integers (size: " + Qe(i) + ")");
    if (a.length > l)
      return a.substring(0, l);
    if (a.length < l) {
      for (var u = a, s = 0, c = l - a.length; s < c; s++)
        u += o;
      return u;
    } else
      return a;
  }
}), vp = "rotate", w4 = ["typed", "multiply", "rotationMatrix"], x4 = /* @__PURE__ */ P(vp, w4, (e) => {
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    typed: r,
    multiply: t,
    rotationMatrix: n
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    "Array , number | BigNumber | Complex | Unit": function(o, l) {
      a(o, 2);
      var u = t(n(l), o);
      return u.toArray();
    },
    "Matrix , number | BigNumber | Complex | Unit": function(o, l) {
      return a(o, 2), t(n(l), o);
    },
    "Array, number | BigNumber | Complex | Unit, Array | Matrix": function(o, l, u) {
      a(o, 3);
      var s = t(n(l, u), o);
      return s;
    },
    "Matrix, number | BigNumber | Complex | Unit, Array | Matrix": function(o, l, u) {
      return a(o, 3), t(n(l, u), o);
    }
  });
  function a(i, o) {
    var l = Array.isArray(i) ? ke(i) : i.size();
    if (l.length > 2)
      throw new RangeError("Vector must be of dimensions 1x".concat(o));
    if (l.length === 2 && l[1] !== 1)
      throw new RangeError("Vector must be of dimensions 1x".concat(o));
    if (l[0] !== o)
      throw new RangeError("Vector must be of dimensions 1x".concat(o));
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}), hp = "rotationMatrix", A4 = ["typed", "config", "multiplyScalar", "addScalar", "unaryMinus", "norm", "matrix", "BigNumber", "DenseMatrix", "SparseMatrix", "cos", "sin"], N4 = /* @__PURE__ */ P(hp, A4, (e) => {
  var {
    typed: r,
    config: t,
    multiplyScalar: n,
    addScalar: a,
    unaryMinus: i,
    norm: o,
    BigNumber: l,
    matrix: u,
    DenseMatrix: s,
    SparseMatrix: c,
    cos: f,
    sin: d
  } = e;
  return r(hp, {
    "": function() {
      return t.matrix === "Matrix" ? u([]) : [];
    },
    string: function(h) {
      return u(h);
    },
    "number | BigNumber | Complex | Unit": function(h) {
      return p(h, t.matrix === "Matrix" ? "dense" : void 0);
    },
    "number | BigNumber | Complex | Unit, string": function(h, x) {
      return p(h, x);
    },
    "number | BigNumber | Complex | Unit, Array": function(h, x) {
      var w = u(x);
      return m(w), y(h, w, void 0);
    },
    "number | BigNumber | Complex | Unit, Matrix": function(h, x) {
      m(x);
      var w = x.storage() || (t.matrix === "Matrix" ? "dense" : void 0);
      return y(h, x, w);
    },
    "number | BigNumber | Complex | Unit, Array, string": function(h, x, w) {
      var g = u(x);
      return m(g), y(h, g, w);
    },
    "number | BigNumber | Complex | Unit, Matrix, string": function(h, x, w) {
      return m(x), y(h, x, w);
    }
  });
  function p(A, h) {
    var x = Ze(A), w = x ? new l(-1) : -1, g = f(A), D = d(A), E = [[g, n(w, D)], [D, g]];
    return b(E, h);
  }
  function m(A) {
    var h = A.size();
    if (h.length < 1 || h[0] !== 3)
      throw new RangeError("Vector must be of dimensions 1x3");
  }
  function v(A) {
    return A.reduce((h, x) => n(h, x));
  }
  function b(A, h) {
    if (h) {
      if (h === "sparse")
        return new c(A);
      if (h === "dense")
        return new s(A);
      throw new TypeError('Unknown matrix type "'.concat(h, '"'));
    }
    return A;
  }
  function y(A, h, x) {
    var w = o(h);
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function Z4(e) {
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var G4 = "solveODE", W4 = ["typed", "add", "subtract", "multiply", "divide", "max", "map", "abs", "isPositive", "isNegative", "larger", "smaller", "matrix", "bignumber", "unaryMinus"], K4 = /* @__PURE__ */ P(G4, W4, (e) => {
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    map: l,
    abs: u,
    isPositive: s,
    isNegative: c,
    larger: f,
    smaller: d,
    matrix: p,
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      var I = S[0], B = S[1], C = f(B, I), _ = F.firstStep;
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      var z = F.maxStep;
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      c: $,
      b: I,
      bp: B
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      t: p(F.t),
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      var F = h(E, N.toArray(), [S], M);
      return {
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        y: p(F.y.map(($) => $[0]))
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  });
}), J4 = "erf", Y4 = ["typed"], j4 = /* @__PURE__ */ P(J4, Y4, (e) => {
  var {
    typed: r
  } = e;
  return r("name", {
    number: function(o) {
      var l = Math.abs(o);
      return l >= eO ? Vn(o) : l <= X4 ? Vn(o) * t(l) : l <= 4 ? Vn(o) * (1 - n(l)) : Vn(o) * (1 - a(l));
    },
    "Array | Matrix": r.referToSelf((i) => (o) => je(o, i))
    // TODO: For complex numbers, use the approximation for the Faddeeva function
    //  from "More Efficient Computation of the Complex Error Function" (AMS)
  });
  function t(i) {
    var o = i * i, l = fn[0][4] * o, u = o, s;
    for (s = 0; s < 3; s += 1)
      l = (l + fn[0][s]) * o, u = (u + Ta[0][s]) * o;
    return i * (l + fn[0][3]) / (u + Ta[0][3]);
  }
  function n(i) {
    var o = fn[1][8] * i, l = i, u;
    for (u = 0; u < 7; u += 1)
      o = (o + fn[1][u]) * i, l = (l + Ta[1][u]) * i;
    var s = (o + fn[1][7]) / (l + Ta[1][7]), c = parseInt(i * 16) / 16, f = (i - c) * (i + c);
    return Math.exp(-c * c) * Math.exp(-f) * s;
  }
  function a(i) {
    var o = 1 / (i * i), l = fn[2][5] * o, u = o, s;
    for (s = 0; s < 4; s += 1)
      l = (l + fn[2][s]) * o, u = (u + Ta[2][s]) * o;
    var c = o * (l + fn[2][4]) / (u + Ta[2][4]);
    c = (Q4 - c) / i, o = parseInt(i * 16) / 16;
    var f = (i - o) * (i + o);
    return Math.exp(-o * o) * Math.exp(-f) * c;
  }
}), X4 = 0.46875, Q4 = 0.5641895835477563, fn = [[3.1611237438705655, 113.86415415105016, 377.485237685302, 3209.3775891384694, 0.18577770618460315], [0.5641884969886701, 8.883149794388377, 66.11919063714163, 298.6351381974001, 881.952221241769, 1712.0476126340707, 2051.0783778260716, 1230.3393547979972, 21531153547440383e-24], [0.30532663496123236, 0.36034489994980445, 0.12578172611122926, 0.016083785148742275, 6587491615298378e-19, 0.016315387137302097]], Ta = [[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, 0.5279051029514285, 0.06051834131244132, 0.0023352049762686918]], eO = Math.pow(2, 53), Mp = "zeta", rO = ["typed", "config", "multiply", "pow", "divide", "factorial", "equal", "smallerEq", "isNegative", "gamma", "sin", "subtract", "add", "?Complex", "?BigNumber", "pi"], tO = /* @__PURE__ */ P(Mp, rO, (e) => {
  var {
    typed: r,
    config: t,
    multiply: n,
    pow: a,
    divide: i,
    factorial: o,
    equal: l,
    smallerEq: u,
    isNegative: s,
    gamma: c,
    sin: f,
    subtract: d,
    add: p,
    Complex: m,
    BigNumber: v,
    pi: b
  } = e;
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    number: (g) => y(g, (D) => D, () => 20),
    BigNumber: (g) => y(g, (D) => new v(D), () => Math.abs(Math.log10(t.relTol))),
    Complex: A
  });
  function y(g, D, E) {
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  function A(g) {
    return g.re === 0 && g.im === 0 ? new m(-0.5) : g.re === 1 ? new m(NaN, NaN) : g.re === 1 / 0 && g.im === 0 ? new m(1) : g.im === 1 / 0 || g.re === -1 / 0 ? new m(NaN, NaN) : h(g, (D) => D, (D) => Math.round(1.3 * 15 + 0.9 * Math.abs(D.im)), (D) => D.re);
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  function h(g, D, E, N) {
    var S = E(g);
    if (N(g) > -(S - 1) / 2)
      return w(g, D(S), D);
    var M = n(a(2, g), a(D(b), d(g, 1)));
    return M = n(M, f(n(i(D(b), 2), g))), M = n(M, c(d(1, g))), n(M, h(d(1, g), D, E, N));
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  function x(g, D) {
    for (var E = g, N = g; u(N, D); N = p(N, 1)) {
      var S = i(n(o(p(D, d(N, 1))), a(4, N)), n(o(d(D, N)), o(n(2, N))));
      E = p(E, S);
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  function w(g, D, E) {
    for (var N = i(1, n(x(E(0), D), d(1, a(2, d(1, g))))), S = E(0), M = E(1); u(M, D); M = p(M, 1))
      S = p(S, i(n((-1) ** (M - 1), x(M, D)), a(M, g)));
    return n(N, S);
  }
}), _p = "mode", nO = ["typed", "isNaN", "isNumeric"], aO = /* @__PURE__ */ P(_p, nO, (e) => {
  var {
    typed: r,
    isNaN: t,
    isNumeric: n
  } = e;
  return r(_p, {
    "Array | Matrix": a,
    "...": function(o) {
      return a(o);
    }
  });
  function a(i) {
    i = sr(i.valueOf());
    var o = i.length;
    if (o === 0)
      throw new Error("Cannot calculate mode of an empty array");
    for (var l = {}, u = [], s = 0, c = 0; c < i.length; c++) {
      var f = i[c];
      if (n(f) && t(f))
        throw new Error("Cannot calculate mode of an array containing NaN values");
      f in l || (l[f] = 0), l[f]++, l[f] === s ? u.push(f) : l[f] > s && (s = l[f], u = [f]);
    }
    return u;
  }
});
function st(e, r, t) {
  var n;
  return String(e).includes("Unexpected type") ? (n = arguments.length > 2 ? " (type: " + yr(t) + ", value: " + JSON.stringify(t) + ")" : " (type: " + e.data.actual + ")", new TypeError("Cannot calculate " + r + ", unexpected type of argument" + n)) : String(e).includes("complex numbers") ? (n = arguments.length > 2 ? " (type: " + yr(t) + ", value: " + JSON.stringify(t) + ")" : "", new TypeError("Cannot calculate " + r + ", no ordering relation is defined for complex numbers" + n)) : e;
}
var Fp = "prod", iO = ["typed", "config", "multiplyScalar", "numeric"], oO = /* @__PURE__ */ P(Fp, iO, (e) => {
  var {
    typed: r,
    config: t,
    multiplyScalar: n,
    numeric: a
  } = e;
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    // prod([a, b, c, d, ...])
    "Array | Matrix": i,
    // prod([a, b, c, d, ...], dim)
    "Array | Matrix, number | BigNumber": function(l, u) {
      throw new Error("prod(A, dim) is not yet supported");
    },
    // prod(a, b, c, d, ...)
    "...": function(l) {
      return i(l);
    }
  });
  function i(o) {
    var l;
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      try {
        l = l === void 0 ? u : n(l, u);
      } catch (s) {
        throw st(s, "prod", u);
      }
    }), typeof l == "string" && (l = a(l, Qn(l, t))), l === void 0)
      throw new Error("Cannot calculate prod of an empty array");
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  }
}), Tp = "format", sO = ["typed"], uO = /* @__PURE__ */ P(Tp, sO, (e) => {
  var {
    typed: r
  } = e;
  return r(Tp, {
    any: Qe,
    "any, Object | function | number | BigNumber": Qe
  });
}), Op = "bin", lO = ["typed", "format"], cO = P(Op, lO, (e) => {
  var {
    typed: r,
    format: t
  } = e;
  return r(Op, {
    "number | BigNumber": function(a) {
      return t(a, {
        notation: "bin"
      });
    },
    "number | BigNumber, number | BigNumber": function(a, i) {
      return t(a, {
        notation: "bin",
        wordSize: i
      });
    }
  });
}), Bp = "oct", fO = ["typed", "format"], dO = P(Bp, fO, (e) => {
  var {
    typed: r,
    format: t
  } = e;
  return r(Bp, {
    "number | BigNumber": function(a) {
      return t(a, {
        notation: "oct"
      });
    },
    "number | BigNumber, number | BigNumber": function(a, i) {
      return t(a, {
        notation: "oct",
        wordSize: i
      });
    }
  });
}), $p = "hex", pO = ["typed", "format"], mO = P($p, pO, (e) => {
  var {
    typed: r,
    format: t
  } = e;
  return r($p, {
    "number | BigNumber": function(a) {
      return t(a, {
        notation: "hex"
      });
    },
    "number | BigNumber, number | BigNumber": function(a, i) {
      return t(a, {
        notation: "hex",
        wordSize: i
      });
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  });
}), Py = /\$([\w.]+)/g, Ip = "print", vO = ["typed"], zy = /* @__PURE__ */ P(Ip, vO, (e) => {
  var {
    typed: r
  } = e;
  return r(Ip, {
    // note: Matrix will be converted automatically to an Array
    "string, Object | Array": Rp,
    "string, Object | Array, number | Object": Rp
  });
});
function Rp(e, r, t) {
  return e.replace(Py, function(n, a) {
    var i = a.split("."), o = r[i.shift()];
    for (o !== void 0 && o.isMatrix && (o = o.toArray()); i.length && o !== void 0; ) {
      var l = i.shift();
      o = l ? o[l] : o + ".";
    }
    return o !== void 0 ? Vr(o) ? o : Qe(o, t) : n;
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}
var Pp = "to", hO = ["typed", "matrix", "concat"], gO = /* @__PURE__ */ P(Pp, hO, (e) => {
  var {
    typed: r,
    matrix: t,
    concat: n
  } = e, a = br({
    typed: r,
    matrix: t,
    concat: n
  });
  return r(Pp, {
    "Unit, Unit | string": (i, o) => i.to(o)
  }, a({
    Ds: !0
  }));
}), zp = "isPrime", yO = ["typed"], bO = /* @__PURE__ */ P(zp, yO, (e) => {
  var {
    typed: r
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  return r(zp, {
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      if (n <= 3)
        return n > 1;
      if (n % 2 === 0 || n % 3 === 0)
        return !1;
      for (var a = 5; a * a <= n; a += 6)
        if (n % a === 0 || n % (a + 2) === 0)
          return !1;
      return !0;
    },
    bigint: function(n) {
      if (n <= 3n)
        return n > 1n;
      if (n % 2n === 0n || n % 3n === 0n)
        return !1;
      for (var a = 5n; a * a <= n; a += 6n)
        if (n % a === 0n || n % (a + 2n) === 0n)
          return !1;
      return !0;
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    BigNumber: function(n) {
      if (n.lte(3)) return n.gt(1);
      if (n.mod(2).eq(0) || n.mod(3).eq(0)) return !1;
      if (n.lt(Math.pow(2, 32))) {
        for (var a = n.toNumber(), i = 5; i * i <= a; i += 6)
          if (a % i === 0 || a % (i + 2) === 0)
            return !1;
        return !0;
      }
      function o(A, h, x) {
        for (var w = 1; !h.eq(0); )
          h.mod(2).eq(0) ? (h = h.div(2), A = A.mul(A).mod(x)) : (h = h.sub(1), w = A.mul(w).mod(x));
        return w;
      }
      var l = n.constructor.clone({
        precision: n.toFixed(0).length * 2
      });
      n = new l(n);
      for (var u = 0, s = n.sub(1); s.mod(2).eq(0); )
        s = s.div(2), u += 1;
      var c = null;
      if (n.lt("3317044064679887385961981"))
        c = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41].filter((A) => A < n);
      else {
        var f = Math.min(n.toNumber() - 2, Math.floor(2 * Math.pow(n.toFixed(0).length * Math.log(10), 2)));
        c = [];
        for (var d = 2; d <= f; d += 1)
          c.push(f);
      }
      for (var p = 0; p < c.length; p += 1) {
        var m = c[p], v = o(n.sub(n).add(m), s, n);
        if (!v.eq(1)) {
          for (var b = 0, y = v; !y.eq(n.sub(1)); b += 1, y = y.mul(y).mod(n))
            if (b === u - 1)
              return !1;
        }
      }
      return !0;
    },
    "Array | Matrix": r.referToSelf((t) => (n) => je(n, t))
  });
}), wO = "numeric", xO = ["number", "?bignumber", "?fraction"], AO = /* @__PURE__ */ P(wO, xO, (e) => {
  var {
    number: r,
    bignumber: t,
    fraction: n
  } = e, a = {
    string: !0,
    number: !0,
    BigNumber: !0,
    Fraction: !0
  }, i = {
    number: (o) => r(o),
    BigNumber: t ? (o) => t(o) : Yl,
    bigint: (o) => BigInt(o),
    Fraction: n ? (o) => n(o) : Oy
  };
  return function(l) {
    var u = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : "number", s = arguments.length > 2 ? arguments[2] : void 0;
    if (s !== void 0)
      throw new SyntaxError("numeric() takes one or two arguments");
    var c = yr(l);
    if (!(c in a))
      throw new TypeError("Cannot convert " + l + ' of type "' + c + '"; valid input types are ' + Object.keys(a).join(", "));
    if (!(u in i))
      throw new TypeError("Cannot convert " + l + ' to type "' + u + '"; valid output types are ' + Object.keys(i).join(", "));
    return u === c ? l : i[u](l);
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}), qp = "divideScalar", NO = ["typed", "numeric"], DO = /* @__PURE__ */ P(qp, NO, (e) => {
  var {
    typed: r,
    numeric: t
  } = e;
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    "number, number": function(a, i) {
      return a / i;
    },
    "Complex, Complex": function(a, i) {
      return a.div(i);
    },
    "BigNumber, BigNumber": function(a, i) {
      return a.div(i);
    },
    "bigint, bigint": function(a, i) {
      return a / i;
    },
    "Fraction, Fraction": function(a, i) {
      return a.div(i);
    },
    "Unit, number | Complex | Fraction | BigNumber | Unit": (n, a) => n.divide(a),
    "number | Fraction | Complex | BigNumber, Unit": (n, a) => a.divideInto(n)
  });
}), Lp = "pow", EO = ["typed", "config", "identity", "multiply", "matrix", "inv", "fraction", "number", "Complex"], SO = /* @__PURE__ */ P(Lp, EO, (e) => {
  var {
    typed: r,
    config: t,
    identity: n,
    multiply: a,
    matrix: i,
    inv: o,
    number: l,
    fraction: u,
    Complex: s
  } = e;
  return r(Lp, {
    "number, number": c,
    "Complex, Complex": function(m, v) {
      return m.pow(v);
    },
    "BigNumber, BigNumber": function(m, v) {
      return v.isInteger() || m >= 0 || t.predictable ? m.pow(v) : new s(m.toNumber(), 0).pow(v.toNumber(), 0);
    },
    "bigint, bigint": (p, m) => p ** m,
    "Fraction, Fraction": function(m, v) {
      var b = m.pow(v);
      if (b != null)
        return b;
      if (t.predictable)
        throw new Error("Result of pow is non-rational and cannot be expressed as a fraction");
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    "Array, number": f,
    "Array, BigNumber": function(m, v) {
      return f(m, v.toNumber());
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    "Matrix, number": d,
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      return d(m, v.toNumber());
    },
    "Unit, number | BigNumber": function(m, v) {
      return m.pow(v);
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  function c(p, m) {
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      try {
        var v = u(m), b = l(v);
        if ((m === b || Math.abs((m - b) / m) < 1e-14) && v.d % 2 === 1)
          return (v.n % 2 === 0 ? 1 : -1) * Math.pow(-p, m);
      } catch {
      }
    return t.predictable && (p < -1 && m === 1 / 0 || p > -1 && p < 0 && m === -1 / 0) ? NaN : Oe(m) || p >= 0 || t.predictable ? Vg(p, m) : p * p < 1 && m === 1 / 0 || p * p > 1 && m === -1 / 0 ? 0 : new s(p, 0).pow(m, 0);
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  function f(p, m) {
    if (!Oe(m))
      throw new TypeError("For A^b, b must be an integer (value is " + m + ")");
    var v = ke(p);
    if (v.length !== 2)
      throw new Error("For A^b, A must be 2 dimensional (A has " + v.length + " dimensions)");
    if (v[0] !== v[1])
      throw new Error("For A^b, A must be square (size is " + v[0] + "x" + v[1] + ")");
    if (m < 0)
      try {
        return f(o(p), -m);
      } catch (A) {
        throw A.message === "Cannot calculate inverse, determinant is zero" ? new TypeError("For A^b, when A is not invertible, b must be a positive integer (value is " + m + ")") : A;
      }
    for (var b = n(v[0]).valueOf(), y = p; m >= 1; )
      (m & 1) === 1 && (b = a(y, b)), m >>= 1, y = a(y, y);
    return b;
  }
  function d(p, m) {
    return i(f(p.valueOf(), m));
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  var {
    typed: r,
    config: t,
    matrix: n,
    equalScalar: a,
    zeros: i,
    BigNumber: o,
    DenseMatrix: l
  } = e, u = Kr({
    typed: r,
    equalScalar: a
  }), s = Pr({
    typed: r,
    DenseMatrix: l
  }), c = Wt({
    typed: r
  });
  function f(d) {
    return Math.abs(Ki(d).exponent);
  }
  return r(Up, {
    number: function(p) {
      var m = Ai(p, f(t.relTol)), v = Gr(p, m, t.relTol, t.absTol) ? m : p;
      return Ai(v);
    },
    "number, number": function(p, m) {
      var v = f(t.relTol);
      if (m >= v)
        return Ai(p, m);
      var b = Ai(p, v), y = Gr(p, b, t.relTol, t.absTol) ? b : p;
      return Ai(y, m);
    },
    "number, BigNumber": function(p, m) {
      if (!m.isInteger())
        throw new TypeError(Oa);
      return new o(p).toDecimalPlaces(m.toNumber());
    },
    Complex: function(p) {
      return p.round();
    },
    "Complex, number": function(p, m) {
      if (m % 1)
        throw new TypeError(Oa);
      return p.round(m);
    },
    "Complex, BigNumber": function(p, m) {
      if (!m.isInteger())
        throw new TypeError(Oa);
      var v = m.toNumber();
      return p.round(v);
    },
    BigNumber: function(p) {
      var m = new o(p).toDecimalPlaces(f(t.relTol)), v = ht(p, m, t.relTol, t.absTol) ? m : p;
      return v.toDecimalPlaces(0);
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    "BigNumber, BigNumber": function(p, m) {
      if (!m.isInteger())
        throw new TypeError(Oa);
      var v = f(t.relTol);
      if (m >= v)
        return p.toDecimalPlaces(m.toNumber());
      var b = p.toDecimalPlaces(v), y = ht(p, b, t.relTol, t.absTol) ? b : p;
      return y.toDecimalPlaces(m.toNumber());
    },
    Fraction: function(p) {
      return p.round();
    },
    "Fraction, number": function(p, m) {
      if (m % 1)
        throw new TypeError(Oa);
      return p.round(m);
    },
    "Fraction, BigNumber": function(p, m) {
      if (!m.isInteger())
        throw new TypeError(Oa);
      return p.round(m.toNumber());
    },
    "Unit, number, Unit": r.referToSelf((d) => function(p, m, v) {
      var b = p.toNumeric(v);
      return v.multiply(d(b, m));
    }),
    "Unit, BigNumber, Unit": r.referToSelf((d) => (p, m, v) => d(p, m.toNumber(), v)),
    "Unit, Unit": r.referToSelf((d) => (p, m) => d(p, 0, m)),
    "Array | Matrix, number, Unit": r.referToSelf((d) => (p, m, v) => je(p, (b) => d(b, m, v))),
    "Array | Matrix, BigNumber, Unit": r.referToSelf((d) => (p, m, v) => d(p, m.toNumber(), v)),
    "Array | Matrix, Unit": r.referToSelf((d) => (p, m) => d(p, 0, m)),
    "Array | Matrix": r.referToSelf((d) => (p) => je(p, d)),
    "SparseMatrix, number | BigNumber": r.referToSelf((d) => (p, m) => u(p, m, d, !1)),
    "DenseMatrix, number | BigNumber": r.referToSelf((d) => (p, m) => c(p, m, d, !1)),
    "Array, number | BigNumber": r.referToSelf((d) => (p, m) => c(n(p), m, d, !1).valueOf()),
    "number | Complex | BigNumber | Fraction, SparseMatrix": r.referToSelf((d) => (p, m) => a(p, 0) ? i(m.size(), m.storage()) : s(m, p, d, !0)),
    "number | Complex | BigNumber | Fraction, DenseMatrix": r.referToSelf((d) => (p, m) => a(p, 0) ? i(m.size(), m.storage()) : c(m, p, d, !0)),
    "number | Complex | BigNumber | Fraction, Array": r.referToSelf((d) => (p, m) => c(n(m), p, d, !0).valueOf())
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}), kp = "log", _O = ["config", "typed", "divideScalar", "Complex"], FO = /* @__PURE__ */ P(kp, _O, (e) => {
  var {
    typed: r,
    config: t,
    divideScalar: n,
    Complex: a
  } = e;
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    number: function(o) {
      return o >= 0 || t.predictable ? T_(o) : new a(o, 0).log();
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    Complex: function(o) {
      return o.log();
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    BigNumber: function(o) {
      return !o.isNegative() || t.predictable ? o.ln() : new a(o.toNumber(), 0).log();
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}), Vp = "log1p", TO = ["typed", "config", "divideScalar", "log", "Complex"], OO = /* @__PURE__ */ P(Vp, TO, (e) => {
  var {
    typed: r,
    config: t,
    divideScalar: n,
    log: a,
    Complex: i
  } = e;
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    number: function(u) {
      return u >= -1 || t.predictable ? OC(u) : o(new i(u, 0));
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    Complex: o,
    BigNumber: function(u) {
      var s = u.plus(1);
      return !s.isNegative() || t.predictable ? s.ln() : o(new i(u.toNumber(), 0));
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    "Array | Matrix": r.referToSelf((l) => (u) => je(u, l)),
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  });
  function o(l) {
    var u = l.re + 1;
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}), Hp = "nthRoots", BO = ["config", "typed", "divideScalar", "Complex"], $O = /* @__PURE__ */ P(Hp, BO, (e) => {
  var {
    typed: r,
    config: t,
    divideScalar: n,
    Complex: a
  } = e, i = [function(u) {
    return new a(u, 0);
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    return new a(0, u);
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    return new a(-u, 0);
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    return new a(0, -u);
  }];
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    if (l === 0 || l.abs() === 0) return [new a(0, 0)];
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        p.push(i[b % 4](m));
        continue;
      }
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        r: m,
        phi: (f + 2 * Math.PI * v) / u
      }));
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  }
  return r(Hp, {
    Complex: function(u) {
      return o(u, 2);
    },
    "Complex, number": o
  });
}), Zp = "dotPow", IO = ["typed", "equalScalar", "matrix", "pow", "DenseMatrix", "concat"], RO = /* @__PURE__ */ P(Zp, IO, (e) => {
  var {
    typed: r,
    equalScalar: t,
    matrix: n,
    pow: a,
    DenseMatrix: i,
    concat: o
  } = e, l = ut({
    typed: r
  }), u = on({
    typed: r,
    DenseMatrix: i
  }), s = Kr({
    typed: r,
    equalScalar: t
  }), c = Pr({
    typed: r,
    DenseMatrix: i
  }), f = br({
    typed: r,
    matrix: n,
    concat: o
  }), d = {};
  for (var p in a.signatures)
    Object.prototype.hasOwnProperty.call(a.signatures, p) && !p.includes("Matrix") && !p.includes("Array") && (d[p] = a.signatures[p]);
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    elop: m,
    SS: u,
    DS: l,
    Ss: s,
    sS: c
  }));
}), Gp = "dotDivide", PO = ["typed", "matrix", "equalScalar", "divideScalar", "DenseMatrix", "concat"], zO = /* @__PURE__ */ P(Gp, PO, (e) => {
  var {
    typed: r,
    matrix: t,
    equalScalar: n,
    divideScalar: a,
    DenseMatrix: i,
    concat: o
  } = e, l = Kt({
    typed: r,
    equalScalar: n
  }), u = ut({
    typed: r
  }), s = on({
    typed: r,
    DenseMatrix: i
  }), c = Kr({
    typed: r,
    equalScalar: n
  }), f = Pr({
    typed: r,
    DenseMatrix: i
  }), d = br({
    typed: r,
    matrix: t,
    concat: o
  });
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    elop: a,
    SS: s,
    DS: u,
    SD: l,
    Ss: c,
    sS: f
  }));
});
function Ji(e) {
  var {
    DenseMatrix: r
  } = e;
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    var o = n.size();
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      throw new RangeError("Matrix must be two dimensional (size: " + Qe(o) + ")");
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        if (c[0] !== l)
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        for (var d = 0; d < l; d++)
          s[d] = [f[d]];
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          data: s,
          size: [l, 1],
          datatype: a._datatype
        });
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        if (c[0] !== l || c[1] !== 1)
          throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");
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          if (i) {
            s = [];
            for (var p = 0; p < l; p++)
              s[p] = [f[p][0]];
            return new r({
              data: s,
              size: [l, 1],
              datatype: a._datatype
            });
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          for (var m = 0; m < l; m++)
            s[m] = [0];
          for (var v = a._values, b = a._index, y = a._ptr, A = y[1], h = y[0]; h < A; h++) {
            var x = b[h];
            s[x][0] = v[h];
          }
          return new r({
            data: s,
            size: [l, 1],
            datatype: a._datatype
          });
        }
      }
      throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector.");
    }
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      var w = ke(a);
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        if (w[0] !== l)
          throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");
        for (var g = 0; g < l; g++)
          s[g] = [a[g]];
        return new r({
          data: s,
          size: [l, 1]
        });
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      if (w.length === 2) {
        if (w[0] !== l || w[1] !== 1)
          throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");
        for (var D = 0; D < l; D++)
          s[D] = [a[D][0]];
        return new r({
          data: s,
          size: [l, 1]
        });
      }
      throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector.");
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}
var Wp = "lsolve", qO = ["typed", "matrix", "divideScalar", "multiplyScalar", "subtractScalar", "equalScalar", "DenseMatrix"], LO = /* @__PURE__ */ P(Wp, qO, (e) => {
  var {
    typed: r,
    matrix: t,
    divideScalar: n,
    multiplyScalar: a,
    subtractScalar: i,
    equalScalar: o,
    DenseMatrix: l
  } = e, u = Ji({
    DenseMatrix: l
  });
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    "SparseMatrix, Array | Matrix": function(d, p) {
      return c(d, p);
    },
    "DenseMatrix, Array | Matrix": function(d, p) {
      return s(d, p);
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    "Array, Array | Matrix": function(d, p) {
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      else {
        var w = y[A][A];
        if (o(w, 0))
          throw new Error("Linear system cannot be solved since matrix is singular");
        x = n(h, w);
        for (var g = A + 1; g < m; g++)
          p[g] = [i(p[g][0] || 0, a(x, y[g][A]))];
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      b[A] = [x];
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      data: b,
      size: [m, 1]
    });
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    for (var p = d._data, m = f._size[0], v = f._size[1], b = f._values, y = f._index, A = f._ptr, h = [], x = 0; x < v; x++) {
      var w = p[x][0] || 0;
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        for (var g = 0, D = [], E = [], N = A[x], S = A[x + 1], M = N; M < S; M++) {
          var F = y[M];
          F === x ? g = b[M] : F > x && (D.push(b[M]), E.push(F));
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        if (o(g, 0))
          throw new Error("Linear system cannot be solved since matrix is singular");
        for (var $ = n(w, g), I = 0, B = E.length; I < B; I++) {
          var C = E[I];
          p[C] = [i(p[C][0] || 0, a($, D[I]))];
        }
        h[x] = [$];
      }
    }
    return new l({
      data: h,
      size: [m, 1]
    });
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}), Kp = "usolve", UO = ["typed", "matrix", "divideScalar", "multiplyScalar", "subtractScalar", "equalScalar", "DenseMatrix"], kO = /* @__PURE__ */ P(Kp, UO, (e) => {
  var {
    typed: r,
    matrix: t,
    divideScalar: n,
    multiplyScalar: a,
    subtractScalar: i,
    equalScalar: o,
    DenseMatrix: l
  } = e, u = Ji({
    DenseMatrix: l
  });
  return r(Kp, {
    "SparseMatrix, Array | Matrix": function(d, p) {
      return c(d, p);
    },
    "DenseMatrix, Array | Matrix": function(d, p) {
      return s(d, p);
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      var m = t(d), v = s(m, p);
      return v.valueOf();
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  function s(f, d) {
    d = u(f, d, !0);
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      var h = p[A][0] || 0, x = void 0;
      if (o(h, 0))
        x = 0;
      else {
        var w = y[A][A];
        if (o(w, 0))
          throw new Error("Linear system cannot be solved since matrix is singular");
        x = n(h, w);
        for (var g = A - 1; g >= 0; g--)
          p[g] = [i(p[g][0] || 0, a(x, y[g][A]))];
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      b[A] = [x];
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    return new l({
      data: b,
      size: [m, 1]
    });
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  function c(f, d) {
    d = u(f, d, !0);
    for (var p = d._data, m = f._size[0], v = f._size[1], b = f._values, y = f._index, A = f._ptr, h = [], x = v - 1; x >= 0; x--) {
      var w = p[x][0] || 0;
      if (o(w, 0))
        h[x] = [0];
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        for (var g = 0, D = [], E = [], N = A[x], S = A[x + 1], M = S - 1; M >= N; M--) {
          var F = y[M];
          F === x ? g = b[M] : F < x && (D.push(b[M]), E.push(F));
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        if (o(g, 0))
          throw new Error("Linear system cannot be solved since matrix is singular");
        for (var $ = n(w, g), I = 0, B = E.length; I < B; I++) {
          var C = E[I];
          p[C] = [i(p[C][0], a($, D[I]))];
        }
        h[x] = [$];
      }
    }
    return new l({
      data: h,
      size: [m, 1]
    });
  }
}), Jp = "lsolveAll", VO = ["typed", "matrix", "divideScalar", "multiplyScalar", "subtractScalar", "equalScalar", "DenseMatrix"], HO = /* @__PURE__ */ P(Jp, VO, (e) => {
  var {
    typed: r,
    matrix: t,
    divideScalar: n,
    multiplyScalar: a,
    subtractScalar: i,
    equalScalar: o,
    DenseMatrix: l
  } = e, u = Ji({
    DenseMatrix: l
  });
  return r(Jp, {
    "SparseMatrix, Array | Matrix": function(d, p) {
      return c(d, p);
    },
    "DenseMatrix, Array | Matrix": function(d, p) {
      return s(d, p);
    },
    "Array, Array | Matrix": function(d, p) {
      var m = t(d), v = s(m, p);
      return v.map((b) => b.valueOf());
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  });
  function s(f, d) {
    for (var p = [u(f, d, !0)._data.map((E) => E[0])], m = f._data, v = f._size[0], b = f._size[1], y = 0; y < b; y++)
      for (var A = p.length, h = 0; h < A; h++) {
        var x = p[h];
        if (o(m[y][y], 0))
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            if (h === 0) {
              var g = [...x];
              g[y] = 1;
              for (var D = y + 1; D < b; D++)
                g[D] = i(g[D], m[D][y]);
              p.push(g);
            }
          } else {
            if (h === 0)
              return [];
            p.splice(h, 1), h -= 1, A -= 1;
          }
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          x[y] = n(x[y], m[y][y]);
          for (var w = y + 1; w < b; w++)
            x[w] = i(x[w], a(x[y], m[w][y]));
        }
      }
    return p.map((E) => new l({
      data: E.map((N) => [N]),
      size: [v, 1]
    }));
  }
  function c(f, d) {
    for (var p = [u(f, d, !0)._data.map((X) => X[0])], m = f._size[0], v = f._size[1], b = f._values, y = f._index, A = f._ptr, h = 0; h < v; h++)
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        for (var g = p[w], D = [], E = [], N = A[h], S = A[h + 1], M = 0, F = N; F < S; F++) {
          var $ = y[F];
          $ === h ? M = b[F] : $ > h && (D.push(b[F]), E.push($));
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        if (o(M, 0))
          if (o(g[h], 0)) {
            if (w === 0) {
              var _ = [...g];
              _[h] = 1;
              for (var z = 0, O = E.length; z < O; z++) {
                var W = E[z];
                _[W] = i(_[W], D[z]);
              }
              p.push(_);
            }
          } else {
            if (w === 0)
              return [];
            p.splice(w, 1), w -= 1, x -= 1;
          }
        else {
          g[h] = n(g[h], M);
          for (var I = 0, B = E.length; I < B; I++) {
            var C = E[I];
            g[C] = i(g[C], a(g[h], D[I]));
          }
        }
      }
    return p.map((X) => new l({
      data: X.map((V) => [V]),
      size: [m, 1]
    }));
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}), Yp = "usolveAll", ZO = ["typed", "matrix", "divideScalar", "multiplyScalar", "subtractScalar", "equalScalar", "DenseMatrix"], GO = /* @__PURE__ */ P(Yp, ZO, (e) => {
  var {
    typed: r,
    matrix: t,
    divideScalar: n,
    multiplyScalar: a,
    subtractScalar: i,
    equalScalar: o,
    DenseMatrix: l
  } = e, u = Ji({
    DenseMatrix: l
  });
  return r(Yp, {
    "SparseMatrix, Array | Matrix": function(d, p) {
      return c(d, p);
    },
    "DenseMatrix, Array | Matrix": function(d, p) {
      return s(d, p);
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    "Array, Array | Matrix": function(d, p) {
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  function s(f, d) {
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      for (var A = p.length, h = 0; h < A; h++) {
        var x = p[h];
        if (o(m[y][y], 0))
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            if (h === 0) {
              var g = [...x];
              g[y] = 1;
              for (var D = y - 1; D >= 0; D--)
                g[D] = i(g[D], m[D][y]);
              p.push(g);
            }
          } else {
            if (h === 0)
              return [];
            p.splice(h, 1), h -= 1, A -= 1;
          }
        else {
          x[y] = n(x[y], m[y][y]);
          for (var w = y - 1; w >= 0; w--)
            x[w] = i(x[w], a(x[y], m[w][y]));
        }
      }
    return p.map((E) => new l({
      data: E.map((N) => [N]),
      size: [v, 1]
    }));
  }
  function c(f, d) {
    for (var p = [u(f, d, !0)._data.map((X) => X[0])], m = f._size[0], v = f._size[1], b = f._values, y = f._index, A = f._ptr, h = v - 1; h >= 0; h--)
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        for (var g = p[w], D = [], E = [], N = A[h], S = A[h + 1], M = 0, F = S - 1; F >= N; F--) {
          var $ = y[F];
          $ === h ? M = b[F] : $ < h && (D.push(b[F]), E.push($));
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        if (o(M, 0))
          if (o(g[h], 0)) {
            if (w === 0) {
              var _ = [...g];
              _[h] = 1;
              for (var z = 0, O = E.length; z < O; z++) {
                var W = E[z];
                _[W] = i(_[W], D[z]);
              }
              p.push(_);
            }
          } else {
            if (w === 0)
              return [];
            p.splice(w, 1), w -= 1, x -= 1;
          }
        else {
          g[h] = n(g[h], M);
          for (var I = 0, B = E.length; I < B; I++) {
            var C = E[I];
            g[C] = i(g[C], a(g[h], D[I]));
          }
        }
      }
    return p.map((X) => new l({
      data: X.map((V) => [V]),
      size: [m, 1]
    }));
  }
}), WO = "matAlgo08xS0Sid", KO = ["typed", "equalScalar"], jl = /* @__PURE__ */ P(WO, KO, (e) => {
  var {
    typed: r,
    equalScalar: t
  } = e;
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      throw new Ye(c.length, v.length);
    if (c[0] !== v[0] || c[1] !== v[1])
      throw new RangeError("Dimension mismatch. Matrix A (" + c + ") must match Matrix B (" + v + ")");
    if (!l || !d)
      throw new Error("Cannot perform operation on Pattern Sparse Matrices");
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      var _ = C + 1;
      for ($ = s[C], I = s[C + 1], F = $; F < I; F++)
        B = u[F], M[B] = _, S[B] = l[F], E.push(B);
      for ($ = m[C], I = m[C + 1], F = $; F < I; F++)
        B = p[F], M[B] === _ && (S[B] = g(S[B], d[F]));
      for (F = N[C]; F < E.length; ) {
        B = E[F];
        var z = S[B];
        x(z, w) ? E.splice(F, 1) : (D.push(z), F++);
      }
    }
    return N[A] = E.length, a.createSparseMatrix({
      values: D,
      index: E,
      ptr: N,
      size: [y, A],
      datatype: f === a._datatype && b === i._datatype ? h : void 0
    });
  };
}), Xl = /* @__PURE__ */ P("useMatrixForArrayScalar", ["typed", "matrix"], (e) => {
  var {
    typed: r,
    matrix: t
  } = e;
  return {
    "Array, number": r.referTo("DenseMatrix, number", (n) => (a, i) => n(t(a), i).valueOf()),
    "Array, BigNumber": r.referTo("DenseMatrix, BigNumber", (n) => (a, i) => n(t(a), i).valueOf()),
    "number, Array": r.referTo("number, DenseMatrix", (n) => (a, i) => n(a, t(i)).valueOf()),
    "BigNumber, Array": r.referTo("BigNumber, DenseMatrix", (n) => (a, i) => n(a, t(i)).valueOf())
  };
}), jp = "leftShift", JO = ["typed", "matrix", "equalScalar", "zeros", "DenseMatrix", "concat"], YO = /* @__PURE__ */ P(jp, JO, (e) => {
  var {
    typed: r,
    matrix: t,
    equalScalar: n,
    zeros: a,
    DenseMatrix: i,
    concat: o
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  } = e, i = a, o = (s, c) => -a(s, c);
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}), om = "sort", IB = ["typed", "matrix", "compare", "compareNatural"], RB = /* @__PURE__ */ P(om, IB, (e) => {
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    matrix: t,
    compare: n,
    compareNatural: a
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    typed: r,
    config: t,
    numeric: n,
    larger: a
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    "Array | Matrix, number | BigNumber": function(u, s) {
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    typed: r,
    config: t,
    numeric: n,
    smaller: a
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    // min([a, b, c, d, ...])
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    larger: t
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      this.fixPrefix = H.fixPrefix, this.skipAutomaticSimplification = H.skipAutomaticSimplification, this.dimensions = H.dimensions.slice(0), this.units = H.units.map((ie) => jr({}, ie));
    else
      throw new TypeError("Second parameter in Unit constructor must be a string or valueless Unit");
    this.value = this._normalize(L);
  }
  Object.defineProperty(h, "name", {
    value: "Unit"
  }), h.prototype.constructor = h, h.prototype.type = "Unit", h.prototype.isUnit = !0;
  var x, w, g;
  function D() {
    for (; g === " " || g === "	"; )
      S();
  }
  function E(L) {
    return L >= "0" && L <= "9" || L === ".";
  }
  function N(L) {
    return L >= "0" && L <= "9";
  }
  function S() {
    w++, g = x.charAt(w);
  }
  function M(L) {
    w = L, g = x.charAt(w);
  }
  function F() {
    var L = "", H = w;
    if (g === "+" ? S() : g === "-" && (L += g, S()), !E(g))
      return M(H), null;
    if (g === ".") {
      if (L += g, S(), !N(g))
        return M(H), null;
    } else {
      for (; N(g); )
        L += g, S();
      g === "." && (L += g, S());
    }
    for (; N(g); )
      L += g, S();
    if (g === "E" || g === "e") {
      var ne = "", ie = w;
      if (ne += g, S(), (g === "+" || g === "-") && (ne += g, S()), !N(g))
        return M(ie), L;
      for (L = L + ne; N(g); )
        L += g, S();
    }
    return L;
  }
  function $() {
    for (var L = ""; N(g) || h.isValidAlpha(g); )
      L += g, S();
    var H = L.charAt(0);
    return h.isValidAlpha(H) ? L : null;
  }
  function I(L) {
    return g === L ? (S(), L) : null;
  }
  h.parse = function(L, H) {
    if (H = H || {}, x = L, w = -1, g = "", typeof x != "string")
      throw new TypeError("Invalid argument in Unit.parse, string expected");
    var ne = new h();
    ne.units = [];
    var ie = 1, me = !1;
    S(), D();
    var pe = F(), xe = null;
    if (pe) {
      if (t.number === "BigNumber")
        xe = new b(pe);
      else if (t.number === "Fraction")
        try {
          xe = new y(pe);
        } catch {
          xe = parseFloat(pe);
        }
      else
        xe = parseFloat(pe);
      D(), I("*") ? (ie = 1, me = !0) : I("/") && (ie = -1, me = !0);
    }
    for (var De = [], k = 1; ; ) {
      for (D(); g === "("; )
        De.push(ie), k *= ie, ie = 1, S(), D();
      var J = void 0;
      if (g) {
        var G = g;
        if (J = $(), J === null)
          throw new SyntaxError('Unexpected "' + G + '" in "' + x + '" at index ' + w.toString());
      } else
        break;
      var ae = B(J);
      if (ae === null)
        throw new SyntaxError('Unit "' + J + '" not found.');
      var fe = ie * k;
      if (D(), I("^")) {
        D();
        var de = F();
        if (de === null)
          throw new SyntaxError('In "' + L + '", "^" must be followed by a floating-point number');
        fe *= de;
      }
      ne.units.push({
        unit: ae.unit,
        prefix: ae.prefix,
        power: fe
      });
      for (var Ne = 0; Ne < z.length; Ne++)
        ne.dimensions[Ne] += (ae.unit.dimensions[Ne] || 0) * fe;
      for (D(); g === ")"; ) {
        if (De.length === 0)
          throw new SyntaxError('Unmatched ")" in "' + x + '" at index ' + w.toString());
        k /= De.pop(), S(), D();
      }
      if (me = !1, I("*") ? (ie = 1, me = !0) : I("/") ? (ie = -1, me = !0) : ie = 1, ae.unit.base) {
        var we = ae.unit.base.key;
        re.auto[we] = {
          unit: ae.unit,
          prefix: ae.prefix
        };
      }
    }
    if (D(), g)
      throw new SyntaxError('Could not parse: "' + L + '"');
    if (me)
      throw new SyntaxError('Trailing characters: "' + L + '"');
    if (De.length !== 0)
      throw new SyntaxError('Unmatched "(" in "' + x + '"');
    if (ne.units.length === 0 && !H.allowNoUnits)
      throw new SyntaxError('"' + L + '" contains no units');
    return ne.value = xe !== void 0 ? ne._normalize(xe) : null, ne;
  }, h.prototype.clone = function() {
    var L = new h();
    L.fixPrefix = this.fixPrefix, L.skipAutomaticSimplification = this.skipAutomaticSimplification, L.value = qe(this.value), L.dimensions = this.dimensions.slice(0), L.units = [];
    for (var H = 0; H < this.units.length; H++) {
      L.units[H] = {};
      for (var ne in this.units[H])
        Fe(this.units[H], ne) && (L.units[H][ne] = this.units[H][ne]);
    }
    return L;
  }, h.prototype.valueType = function() {
    return yr(this.value);
  }, h.prototype._isDerived = function() {
    return this.units.length === 0 ? !1 : this.units.length > 1 || Math.abs(this.units[0].power - 1) > 1e-15;
  }, h.prototype._normalize = function(L) {
    if (L == null || this.units.length === 0)
      return L;
    for (var H = L, ne = h._getNumberConverter(yr(L)), ie = 0; ie < this.units.length; ie++) {
      var me = ne(this.units[ie].unit.value), pe = ne(this.units[ie].prefix.value), xe = ne(this.units[ie].power);
      H = i(H, l(i(me, pe), xe));
    }
    return H;
  }, h.prototype._denormalize = function(L, H) {
    if (L == null || this.units.length === 0)
      return L;
    for (var ne = L, ie = h._getNumberConverter(yr(L)), me = 0; me < this.units.length; me++) {
      var pe = ie(this.units[me].unit.value), xe = ie(this.units[me].prefix.value), De = ie(this.units[me].power);
      ne = o(ne, l(i(pe, xe), De));
    }
    return ne;
  };
  var B = Yi((L) => {
    if (Fe(R, L)) {
      var H = R[L], ne = H.prefixes[""];
      return {
        unit: H,
        prefix: ne
      };
    }
    for (var ie in R)
      if (Fe(R, ie) && v_(L, ie)) {
        var me = R[ie], pe = L.length - ie.length, xe = L.substring(0, pe), De = Fe(me.prefixes, xe) ? me.prefixes[xe] : void 0;
        if (De !== void 0)
          return {
            unit: me,
            prefix: De
          };
      }
    return null;
  }, {
    hasher: (L) => L[0],
    limit: 100
  });
  h.isValuelessUnit = function(L) {
    return B(L) !== null;
  }, h.prototype.hasBase = function(L) {
    if (typeof L == "string" && (L = O[L]), !L)
      return !1;
    for (var H = 0; H < z.length; H++)
      if (Math.abs((this.dimensions[H] || 0) - (L.dimensions[H] || 0)) > 1e-12)
        return !1;
    return !0;
  }, h.prototype.equalBase = function(L) {
    for (var H = 0; H < z.length; H++)
      if (Math.abs((this.dimensions[H] || 0) - (L.dimensions[H] || 0)) > 1e-12)
        return !1;
    return !0;
  }, h.prototype.equals = function(L) {
    return this.equalBase(L) && f(this.value, L.value);
  }, h.prototype.multiply = function(L) {
    for (var H = this.clone(), ne = ft(L) ? L : new h(L), ie = 0; ie < z.length; ie++)
      H.dimensions[ie] = (this.dimensions[ie] || 0) + (ne.dimensions[ie] || 0);
    for (var me = 0; me < ne.units.length; me++) {
      var pe = mu({}, ne.units[me]);
      H.units.push(pe);
    }
    if (this.value !== null || ne.value !== null) {
      var xe = this.value === null ? this._normalize(1) : this.value, De = ne.value === null ? ne._normalize(1) : ne.value;
      H.value = i(xe, De);
    } else
      H.value = null;
    return ft(L) && (H.skipAutomaticSimplification = !1), C(H);
  }, h.prototype.divideInto = function(L) {
    return new h(L).divide(this);
  }, h.prototype.divide = function(L) {
    for (var H = this.clone(), ne = ft(L) ? L : new h(L), ie = 0; ie < z.length; ie++)
      H.dimensions[ie] = (this.dimensions[ie] || 0) - (ne.dimensions[ie] || 0);
    for (var me = 0; me < ne.units.length; me++) {
      var pe = mu(mu({}, ne.units[me]), {}, {
        power: -ne.units[me].power
      });
      H.units.push(pe);
    }
    if (this.value !== null || ne.value !== null) {
      var xe = this.value === null ? this._normalize(1) : this.value, De = ne.value === null ? ne._normalize(1) : ne.value;
      H.value = o(xe, De);
    } else
      H.value = null;
    return ft(L) && (H.skipAutomaticSimplification = !1), C(H);
  }, h.prototype.pow = function(L) {
    for (var H = this.clone(), ne = 0; ne < z.length; ne++)
      H.dimensions[ne] = (this.dimensions[ne] || 0) * L;
    for (var ie = 0; ie < H.units.length; ie++)
      H.units[ie].power *= L;
    return H.value !== null ? H.value = l(H.value, L) : H.value = null, H.skipAutomaticSimplification = !1, C(H);
  };
  function C(L) {
    return L.equalBase(O.NONE) && L.value !== null && !t.predictable ? L.value : L;
  }
  h.prototype.abs = function() {
    var L = this.clone();
    if (L.value !== null)
      if (L._isDerived() || L.units.length === 0 || L.units[0].unit.offset === 0)
        L.value = u(L.value);
      else {
        var H = L._numberConverter(), ne = H(L.units[0].unit.value), ie = H(L.units[0].unit.offset), me = i(ne, ie);
        L.value = a(u(n(L.value, me)), me);
      }
    for (var pe in L.units)
      (L.units[pe].unit.name === "VA" || L.units[pe].unit.name === "VAR") && (L.units[pe].unit = R.W);
    return L;
  }, h.prototype.to = function(L) {
    var H = this.value === null ? this._normalize(1) : this.value, ne;
    if (typeof L == "string")
      ne = h.parse(L);
    else if (ft(L))
      ne = L.clone();
    else
      throw new Error("String or Unit expected as parameter");
    if (!this.equalBase(ne))
      throw new Error("Units do not match ('".concat(ne.toString(), "' != '").concat(this.toString(), "')"));
    if (ne.value !== null)
      throw new Error("Cannot convert to a unit with a value");
    if (this.value === null || this._isDerived() || this.units.length === 0 || ne.units.length === 0 || this.units[0].unit.offset === ne.units[0].unit.offset)
      ne.value = qe(H);
    else {
      var ie = h._getNumberConverter(yr(H)), me = this.units[0].unit.value, pe = this.units[0].unit.offset, xe = i(me, pe), De = ne.units[0].unit.value, k = ne.units[0].unit.offset, J = i(De, k);
      ne.value = n(H, ie(a(xe, J)));
    }
    return ne.fixPrefix = !0, ne.skipAutomaticSimplification = !0, ne;
  }, h.prototype.toNumber = function(L) {
    return A(this.toNumeric(L));
  }, h.prototype.toNumeric = function(L) {
    var H;
    return L ? H = this.to(L) : H = this.clone(), H._isDerived() || H.units.length === 0 ? H._denormalize(H.value) : H._denormalize(H.value, H.units[0].prefix.value);
  }, h.prototype.toString = function() {
    return this.format();
  }, h.prototype.toJSON = function() {
    return {
      mathjs: "Unit",
      value: this._denormalize(this.value),
      unit: this.units.length > 0 ? this.formatUnits() : null,
      fixPrefix: this.fixPrefix
    };
  }, h.fromJSON = function(L) {
    var H, ne = new h(L.value, (H = L.unit) !== null && H !== void 0 ? H : void 0);
    return ne.fixPrefix = L.fixPrefix || !1, ne;
  }, h.prototype.valueOf = h.prototype.toString, h.prototype.simplify = function() {
    var L = this.clone(), H = [], ne;
    for (var ie in q)
      if (Fe(q, ie) && L.hasBase(O[ie])) {
        ne = ie;
        break;
      }
    if (ne === "NONE")
      L.units = [];
    else {
      var me;
      if (ne && Fe(q, ne) && (me = q[ne]), me)
        L.units = [{
          unit: me.unit,
          prefix: me.prefix,
          power: 1
        }];
      else {
        for (var pe = !1, xe = 0; xe < z.length; xe++) {
          var De = z[xe];
          Math.abs(L.dimensions[xe] || 0) > 1e-12 && (Fe(q, De) ? H.push({
            unit: q[De].unit,
            prefix: q[De].prefix,
            power: L.dimensions[xe] || 0
          }) : pe = !0);
        }
        H.length < L.units.length && !pe && (L.units = H);
      }
    }
    return L;
  }, h.prototype.toSI = function() {
    for (var L = this.clone(), H = [], ne = 0; ne < z.length; ne++) {
      var ie = z[ne];
      if (Math.abs(L.dimensions[ne] || 0) > 1e-12)
        if (Fe(re.si, ie))
          H.push({
            unit: re.si[ie].unit,
            prefix: re.si[ie].prefix,
            power: L.dimensions[ne] || 0
          });
        else
          throw new Error("Cannot express custom unit " + ie + " in SI units");
    }
    return L.units = H, L.fixPrefix = !0, L.skipAutomaticSimplification = !0, this.value !== null ? (L.value = null, this.to(L)) : L;
  }, h.prototype.formatUnits = function() {
    for (var L = "", H = "", ne = 0, ie = 0, me = 0; me < this.units.length; me++)
      this.units[me].power > 0 ? (ne++, L += " " + this.units[me].prefix.name + this.units[me].unit.name, Math.abs(this.units[me].power - 1) > 1e-15 && (L += "^" + this.units[me].power)) : this.units[me].power < 0 && ie++;
    if (ie > 0)
      for (var pe = 0; pe < this.units.length; pe++)
        this.units[pe].power < 0 && (ne > 0 ? (H += " " + this.units[pe].prefix.name + this.units[pe].unit.name, Math.abs(this.units[pe].power + 1) > 1e-15 && (H += "^" + -this.units[pe].power)) : (H += " " + this.units[pe].prefix.name + this.units[pe].unit.name, H += "^" + this.units[pe].power));
    L = L.substr(1), H = H.substr(1), ne > 1 && ie > 0 && (L = "(" + L + ")"), ie > 1 && ne > 0 && (H = "(" + H + ")");
    var xe = L;
    return ne > 0 && ie > 0 && (xe += " / "), xe += H, xe;
  }, h.prototype.format = function(L) {
    var H = this.skipAutomaticSimplification || this.value === null ? this.clone() : this.simplify(), ne = !1;
    typeof H.value < "u" && H.value !== null && Ut(H.value) && (ne = Math.abs(H.value.re) < 1e-14);
    for (var ie in H.units)
      Fe(H.units, ie) && H.units[ie].unit && (H.units[ie].unit.name === "VA" && ne ? H.units[ie].unit = R.VAR : H.units[ie].unit.name === "VAR" && !ne && (H.units[ie].unit = R.VA));
    H.units.length === 1 && !H.fixPrefix && Math.abs(H.units[0].power - Math.round(H.units[0].power)) < 1e-14 && (H.units[0].prefix = H._bestPrefix());
    var me = H._denormalize(H.value), pe = H.value !== null ? p(me, L || {}) : "", xe = H.formatUnits();
    return H.value && Ut(H.value) && (pe = "(" + pe + ")"), xe.length > 0 && pe.length > 0 && (pe += " "), pe += xe, pe;
  }, h.prototype._bestPrefix = function() {
    if (this.units.length !== 1)
      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 L = this.value !== null ? u(this.value) : 0, H = u(this.units[0].unit.value), ne = this.units[0].prefix;
    if (L === 0)
      return ne;
    var ie = this.units[0].power, me = Math.log(L / Math.pow(ne.value * H, ie)) / Math.LN10 - 1.2;
    if (me > -2.200001 && me < 1.800001) return ne;
    me = Math.abs(me);
    var pe = this.units[0].unit.prefixes;
    for (var xe in pe)
      if (Fe(pe, xe)) {
        var De = pe[xe];
        if (De.scientific) {
          var k = Math.abs(Math.log(L / Math.pow(De.value * H, ie)) / Math.LN10 - 1.2);
          (k < me || k === me && De.name.length < ne.name.length) && (ne = De, me = k);
        }
      }
    return ne;
  }, h.prototype.splitUnit = function(L) {
    for (var H = this.clone(), ne = [], ie = 0; ie < L.length && (H = H.to(L[ie]), ie !== L.length - 1); ie++) {
      var me = H.toNumeric(), pe = c(me), xe = void 0, De = f(pe, me);
      De ? xe = pe : xe = s(H.toNumeric());
      var k = new h(xe, L[ie].toString());
      ne.push(k), H = a(H, k);
    }
    for (var J = 0, G = 0; G < ne.length; G++)
      J = n(J, ne[G].value);
    return f(J, this.value) && (H.value = 0), ne.push(H), ne;
  };
  var _ = {
    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
      },
      R: {
        name: "R",
        value: 1e27,
        scientific: !0
      },
      Q: {
        name: "Q",
        value: 1e30,
        scientific: !0
      },
      d: {
        name: "d",
        value: 0.1,
        scientific: !1
      },
      c: {
        name: "c",
        value: 0.01,
        scientific: !1
      },
      m: {
        name: "m",
        value: 1e-3,
        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
      },
      r: {
        name: "r",
        value: 1e-27,
        scientific: !0
      },
      q: {
        name: "q",
        value: 1e-30,
        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
      },
      ronna: {
        name: "ronna",
        value: 1e27,
        scientific: !0
      },
      quetta: {
        name: "quetta",
        value: 1e30,
        scientific: !0
      },
      deci: {
        name: "deci",
        value: 0.1,
        scientific: !1
      },
      centi: {
        name: "centi",
        value: 0.01,
        scientific: !1
      },
      milli: {
        name: "milli",
        value: 1e-3,
        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
      },
      ronto: {
        name: "ronto",
        value: 1e-27,
        scientific: !0
      },
      quecto: {
        name: "quecto",
        value: 1e-30,
        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
      },
      R: {
        name: "R",
        value: 1e54,
        scientific: !0
      },
      Q: {
        name: "Q",
        value: 1e60,
        scientific: !0
      },
      d: {
        name: "d",
        value: 0.01,
        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
      },
      r: {
        name: "r",
        value: 1e-54,
        scientific: !0
      },
      q: {
        name: "q",
        value: 1e-60,
        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
      },
      R: {
        name: "R",
        value: 1e81,
        scientific: !0
      },
      Q: {
        name: "Q",
        value: 1e90,
        scientific: !0
      },
      d: {
        name: "d",
        value: 1e-3,
        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
      },
      r: {
        name: "r",
        value: 1e-81,
        scientific: !0
      },
      q: {
        name: "q",
        value: 1e-90,
        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
      }
    }
  };
  _.SHORTLONG = jr({}, _.SHORT, _.LONG), _.BINARY_SHORT = jr({}, _.BINARY_SHORT_SI, _.BINARY_SHORT_IEC), _.BINARY_LONG = jr({}, _.BINARY_LONG_SI, _.BINARY_LONG_IEC);
  var z = ["MASS", "LENGTH", "TIME", "CURRENT", "TEMPERATURE", "LUMINOUS_INTENSITY", "AMOUNT_OF_SUBSTANCE", "ANGLE", "BIT"], O = {
    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 W in O)
    Fe(O, W) && (O[W].key = W);
  var X = {}, V = {
    name: "",
    base: X,
    value: 1,
    offset: 0,
    dimensions: z.map((L) => 0)
  }, R = {
    // length
    meter: {
      name: "meter",
      base: O.LENGTH,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    inch: {
      name: "inch",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 0.0254,
      offset: 0
    },
    foot: {
      name: "foot",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 0.3048,
      offset: 0
    },
    yard: {
      name: "yard",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 0.9144,
      offset: 0
    },
    mile: {
      name: "mile",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 1609.344,
      offset: 0
    },
    link: {
      name: "link",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 0.201168,
      offset: 0
    },
    rod: {
      name: "rod",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 5.0292,
      offset: 0
    },
    chain: {
      name: "chain",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 20.1168,
      offset: 0
    },
    angstrom: {
      name: "angstrom",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 1e-10,
      offset: 0
    },
    m: {
      name: "m",
      base: O.LENGTH,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    in: {
      name: "in",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 0.0254,
      offset: 0
    },
    ft: {
      name: "ft",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 0.3048,
      offset: 0
    },
    yd: {
      name: "yd",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 0.9144,
      offset: 0
    },
    mi: {
      name: "mi",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 1609.344,
      offset: 0
    },
    li: {
      name: "li",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 0.201168,
      offset: 0
    },
    rd: {
      name: "rd",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 5.02921,
      offset: 0
    },
    ch: {
      name: "ch",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 20.1168,
      offset: 0
    },
    mil: {
      name: "mil",
      base: O.LENGTH,
      prefixes: _.NONE,
      value: 254e-7,
      offset: 0
    },
    // 1/1000 inch
    // Surface
    m2: {
      name: "m2",
      base: O.SURFACE,
      prefixes: _.SQUARED,
      value: 1,
      offset: 0
    },
    sqin: {
      name: "sqin",
      base: O.SURFACE,
      prefixes: _.NONE,
      value: 64516e-8,
      offset: 0
    },
    // 645.16 mm2
    sqft: {
      name: "sqft",
      base: O.SURFACE,
      prefixes: _.NONE,
      value: 0.09290304,
      offset: 0
    },
    // 0.09290304 m2
    sqyd: {
      name: "sqyd",
      base: O.SURFACE,
      prefixes: _.NONE,
      value: 0.83612736,
      offset: 0
    },
    // 0.83612736 m2
    sqmi: {
      name: "sqmi",
      base: O.SURFACE,
      prefixes: _.NONE,
      value: 2589988110336e-6,
      offset: 0
    },
    // 2.589988110336 km2
    sqrd: {
      name: "sqrd",
      base: O.SURFACE,
      prefixes: _.NONE,
      value: 25.29295,
      offset: 0
    },
    // 25.29295 m2
    sqch: {
      name: "sqch",
      base: O.SURFACE,
      prefixes: _.NONE,
      value: 404.6873,
      offset: 0
    },
    // 404.6873 m2
    sqmil: {
      name: "sqmil",
      base: O.SURFACE,
      prefixes: _.NONE,
      value: 64516e-14,
      offset: 0
    },
    // 6.4516 * 10^-10 m2
    acre: {
      name: "acre",
      base: O.SURFACE,
      prefixes: _.NONE,
      value: 4046.86,
      offset: 0
    },
    // 4046.86 m2
    hectare: {
      name: "hectare",
      base: O.SURFACE,
      prefixes: _.NONE,
      value: 1e4,
      offset: 0
    },
    // 10000 m2
    // Volume
    m3: {
      name: "m3",
      base: O.VOLUME,
      prefixes: _.CUBIC,
      value: 1,
      offset: 0
    },
    L: {
      name: "L",
      base: O.VOLUME,
      prefixes: _.SHORT,
      value: 1e-3,
      offset: 0
    },
    // litre
    l: {
      name: "l",
      base: O.VOLUME,
      prefixes: _.SHORT,
      value: 1e-3,
      offset: 0
    },
    // litre
    litre: {
      name: "litre",
      base: O.VOLUME,
      prefixes: _.LONG,
      value: 1e-3,
      offset: 0
    },
    cuin: {
      name: "cuin",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 16387064e-12,
      offset: 0
    },
    // 1.6387064e-5 m3
    cuft: {
      name: "cuft",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 0.028316846592,
      offset: 0
    },
    // 28.316 846 592 L
    cuyd: {
      name: "cuyd",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 0.764554857984,
      offset: 0
    },
    // 764.554 857 984 L
    teaspoon: {
      name: "teaspoon",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 5e-6,
      offset: 0
    },
    // 5 mL
    tablespoon: {
      name: "tablespoon",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 15e-6,
      offset: 0
    },
    // 15 mL
    // {name: 'cup', base: BASE_UNITS.VOLUME, prefixes: PREFIXES.NONE, value: 0.000240, offset: 0}, // 240 mL  // not possible, we have already another cup
    drop: {
      name: "drop",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 5e-8,
      offset: 0
    },
    // 0.05 mL = 5e-8 m3
    gtt: {
      name: "gtt",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 5e-8,
      offset: 0
    },
    // 0.05 mL = 5e-8 m3
    // Liquid volume
    minim: {
      name: "minim",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 61611519921875e-21,
      offset: 0
    },
    // 1/61440 gallons
    fluiddram: {
      name: "fluiddram",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 36966911953125e-19,
      offset: 0
    },
    // 1/1024 gallons
    fluidounce: {
      name: "fluidounce",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 295735295625e-16,
      offset: 0
    },
    // 1/128 gallons
    gill: {
      name: "gill",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 11829411825e-14,
      offset: 0
    },
    // 1/32 gallons
    cc: {
      name: "cc",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 1e-6,
      offset: 0
    },
    // 1e-6 L
    cup: {
      name: "cup",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 2365882365e-13,
      offset: 0
    },
    // 1/16 gallons
    pint: {
      name: "pint",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 473176473e-12,
      offset: 0
    },
    // 1/8 gallons
    quart: {
      name: "quart",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 946352946e-12,
      offset: 0
    },
    // 1/4 gallons
    gallon: {
      name: "gallon",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 0.003785411784,
      offset: 0
    },
    // 3.785411784 L
    beerbarrel: {
      name: "beerbarrel",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 0.117347765304,
      offset: 0
    },
    // 31 gallons
    oilbarrel: {
      name: "oilbarrel",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 0.158987294928,
      offset: 0
    },
    // 42 gallons
    hogshead: {
      name: "hogshead",
      base: O.VOLUME,
      prefixes: _.NONE,
      value: 0.238480942392,
      offset: 0
    },
    // 63 gallons
    // Mass
    g: {
      name: "g",
      base: O.MASS,
      prefixes: _.SHORT,
      value: 1e-3,
      offset: 0
    },
    gram: {
      name: "gram",
      base: O.MASS,
      prefixes: _.LONG,
      value: 1e-3,
      offset: 0
    },
    ton: {
      name: "ton",
      base: O.MASS,
      prefixes: _.SHORT,
      value: 907.18474,
      offset: 0
    },
    t: {
      name: "t",
      base: O.MASS,
      prefixes: _.SHORT,
      value: 1e3,
      offset: 0
    },
    tonne: {
      name: "tonne",
      base: O.MASS,
      prefixes: _.LONG,
      value: 1e3,
      offset: 0
    },
    grain: {
      name: "grain",
      base: O.MASS,
      prefixes: _.NONE,
      value: 6479891e-11,
      offset: 0
    },
    dram: {
      name: "dram",
      base: O.MASS,
      prefixes: _.NONE,
      value: 0.0017718451953125,
      offset: 0
    },
    ounce: {
      name: "ounce",
      base: O.MASS,
      prefixes: _.NONE,
      value: 0.028349523125,
      offset: 0
    },
    poundmass: {
      name: "poundmass",
      base: O.MASS,
      prefixes: _.NONE,
      value: 0.45359237,
      offset: 0
    },
    hundredweight: {
      name: "hundredweight",
      base: O.MASS,
      prefixes: _.NONE,
      value: 45.359237,
      offset: 0
    },
    stick: {
      name: "stick",
      base: O.MASS,
      prefixes: _.NONE,
      value: 0.115,
      offset: 0
    },
    stone: {
      name: "stone",
      base: O.MASS,
      prefixes: _.NONE,
      value: 6.35029318,
      offset: 0
    },
    gr: {
      name: "gr",
      base: O.MASS,
      prefixes: _.NONE,
      value: 6479891e-11,
      offset: 0
    },
    dr: {
      name: "dr",
      base: O.MASS,
      prefixes: _.NONE,
      value: 0.0017718451953125,
      offset: 0
    },
    oz: {
      name: "oz",
      base: O.MASS,
      prefixes: _.NONE,
      value: 0.028349523125,
      offset: 0
    },
    lbm: {
      name: "lbm",
      base: O.MASS,
      prefixes: _.NONE,
      value: 0.45359237,
      offset: 0
    },
    cwt: {
      name: "cwt",
      base: O.MASS,
      prefixes: _.NONE,
      value: 45.359237,
      offset: 0
    },
    // Time
    s: {
      name: "s",
      base: O.TIME,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    min: {
      name: "min",
      base: O.TIME,
      prefixes: _.NONE,
      value: 60,
      offset: 0
    },
    h: {
      name: "h",
      base: O.TIME,
      prefixes: _.NONE,
      value: 3600,
      offset: 0
    },
    second: {
      name: "second",
      base: O.TIME,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    sec: {
      name: "sec",
      base: O.TIME,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    minute: {
      name: "minute",
      base: O.TIME,
      prefixes: _.NONE,
      value: 60,
      offset: 0
    },
    hour: {
      name: "hour",
      base: O.TIME,
      prefixes: _.NONE,
      value: 3600,
      offset: 0
    },
    day: {
      name: "day",
      base: O.TIME,
      prefixes: _.NONE,
      value: 86400,
      offset: 0
    },
    week: {
      name: "week",
      base: O.TIME,
      prefixes: _.NONE,
      value: 7 * 86400,
      offset: 0
    },
    month: {
      name: "month",
      base: O.TIME,
      prefixes: _.NONE,
      value: 2629800,
      // 1/12th of Julian year
      offset: 0
    },
    year: {
      name: "year",
      base: O.TIME,
      prefixes: _.NONE,
      value: 31557600,
      // Julian year
      offset: 0
    },
    decade: {
      name: "decade",
      base: O.TIME,
      prefixes: _.NONE,
      value: 315576e3,
      // Julian decade
      offset: 0
    },
    century: {
      name: "century",
      base: O.TIME,
      prefixes: _.NONE,
      value: 315576e4,
      // Julian century
      offset: 0
    },
    millennium: {
      name: "millennium",
      base: O.TIME,
      prefixes: _.NONE,
      value: 315576e5,
      // Julian millennium
      offset: 0
    },
    // Frequency
    hertz: {
      name: "Hertz",
      base: O.FREQUENCY,
      prefixes: _.LONG,
      value: 1,
      offset: 0,
      reciprocal: !0
    },
    Hz: {
      name: "Hz",
      base: O.FREQUENCY,
      prefixes: _.SHORT,
      value: 1,
      offset: 0,
      reciprocal: !0
    },
    // Angle
    rad: {
      name: "rad",
      base: O.ANGLE,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    radian: {
      name: "radian",
      base: O.ANGLE,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    // deg = rad / (2*pi) * 360 = rad / 0.017453292519943295769236907684888
    deg: {
      name: "deg",
      base: O.ANGLE,
      prefixes: _.SHORT,
      value: null,
      // will be filled in by calculateAngleValues()
      offset: 0
    },
    degree: {
      name: "degree",
      base: O.ANGLE,
      prefixes: _.LONG,
      value: null,
      // will be filled in by calculateAngleValues()
      offset: 0
    },
    // grad = rad / (2*pi) * 400  = rad / 0.015707963267948966192313216916399
    grad: {
      name: "grad",
      base: O.ANGLE,
      prefixes: _.SHORT,
      value: null,
      // will be filled in by calculateAngleValues()
      offset: 0
    },
    gradian: {
      name: "gradian",
      base: O.ANGLE,
      prefixes: _.LONG,
      value: null,
      // will be filled in by calculateAngleValues()
      offset: 0
    },
    // cycle = rad / (2*pi) = rad / 6.2831853071795864769252867665793
    cycle: {
      name: "cycle",
      base: O.ANGLE,
      prefixes: _.NONE,
      value: null,
      // will be filled in by calculateAngleValues()
      offset: 0
    },
    // arcsec = rad / (3600 * (360 / 2 * pi)) = rad / 0.0000048481368110953599358991410235795
    arcsec: {
      name: "arcsec",
      base: O.ANGLE,
      prefixes: _.NONE,
      value: null,
      // will be filled in by calculateAngleValues()
      offset: 0
    },
    // arcmin = rad / (60 * (360 / 2 * pi)) = rad / 0.00029088820866572159615394846141477
    arcmin: {
      name: "arcmin",
      base: O.ANGLE,
      prefixes: _.NONE,
      value: null,
      // will be filled in by calculateAngleValues()
      offset: 0
    },
    // Electric current
    A: {
      name: "A",
      base: O.CURRENT,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    ampere: {
      name: "ampere",
      base: O.CURRENT,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    // Temperature
    // K(C) = °C + 273.15
    // K(F) = (°F + 459.67) * (5 / 9)
    // K(R) = °R * (5 / 9)
    K: {
      name: "K",
      base: O.TEMPERATURE,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    degC: {
      name: "degC",
      base: O.TEMPERATURE,
      prefixes: _.SHORT,
      value: 1,
      offset: 273.15
    },
    degF: {
      name: "degF",
      base: O.TEMPERATURE,
      prefixes: _.SHORT,
      value: new y(5, 9),
      offset: 459.67
    },
    degR: {
      name: "degR",
      base: O.TEMPERATURE,
      prefixes: _.SHORT,
      value: new y(5, 9),
      offset: 0
    },
    kelvin: {
      name: "kelvin",
      base: O.TEMPERATURE,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    celsius: {
      name: "celsius",
      base: O.TEMPERATURE,
      prefixes: _.LONG,
      value: 1,
      offset: 273.15
    },
    fahrenheit: {
      name: "fahrenheit",
      base: O.TEMPERATURE,
      prefixes: _.LONG,
      value: new y(5, 9),
      offset: 459.67
    },
    rankine: {
      name: "rankine",
      base: O.TEMPERATURE,
      prefixes: _.LONG,
      value: new y(5, 9),
      offset: 0
    },
    // amount of substance
    mol: {
      name: "mol",
      base: O.AMOUNT_OF_SUBSTANCE,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    mole: {
      name: "mole",
      base: O.AMOUNT_OF_SUBSTANCE,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    // luminous intensity
    cd: {
      name: "cd",
      base: O.LUMINOUS_INTENSITY,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    candela: {
      name: "candela",
      base: O.LUMINOUS_INTENSITY,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    // TODO: units STERADIAN
    // {name: 'sr', base: BASE_UNITS.STERADIAN, prefixes: PREFIXES.NONE, value: 1, offset: 0},
    // {name: 'steradian', base: BASE_UNITS.STERADIAN, prefixes: PREFIXES.NONE, value: 1, offset: 0},
    // Force
    N: {
      name: "N",
      base: O.FORCE,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    newton: {
      name: "newton",
      base: O.FORCE,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    dyn: {
      name: "dyn",
      base: O.FORCE,
      prefixes: _.SHORT,
      value: 1e-5,
      offset: 0
    },
    dyne: {
      name: "dyne",
      base: O.FORCE,
      prefixes: _.LONG,
      value: 1e-5,
      offset: 0
    },
    lbf: {
      name: "lbf",
      base: O.FORCE,
      prefixes: _.NONE,
      value: 4.4482216152605,
      offset: 0
    },
    poundforce: {
      name: "poundforce",
      base: O.FORCE,
      prefixes: _.NONE,
      value: 4.4482216152605,
      offset: 0
    },
    kip: {
      name: "kip",
      base: O.FORCE,
      prefixes: _.LONG,
      value: 4448.2216,
      offset: 0
    },
    kilogramforce: {
      name: "kilogramforce",
      base: O.FORCE,
      prefixes: _.NONE,
      value: 9.80665,
      offset: 0
    },
    // Energy
    J: {
      name: "J",
      base: O.ENERGY,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    joule: {
      name: "joule",
      base: O.ENERGY,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    erg: {
      name: "erg",
      base: O.ENERGY,
      prefixes: _.SHORTLONG,
      // Both kiloerg and kerg are acceptable
      value: 1e-7,
      offset: 0
    },
    Wh: {
      name: "Wh",
      base: O.ENERGY,
      prefixes: _.SHORT,
      value: 3600,
      offset: 0
    },
    BTU: {
      name: "BTU",
      base: O.ENERGY,
      prefixes: _.BTU,
      value: 1055.05585262,
      offset: 0
    },
    eV: {
      name: "eV",
      base: O.ENERGY,
      prefixes: _.SHORT,
      value: 1602176565e-28,
      offset: 0
    },
    electronvolt: {
      name: "electronvolt",
      base: O.ENERGY,
      prefixes: _.LONG,
      value: 1602176565e-28,
      offset: 0
    },
    // Power
    W: {
      name: "W",
      base: O.POWER,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    watt: {
      name: "watt",
      base: O.POWER,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    hp: {
      name: "hp",
      base: O.POWER,
      prefixes: _.NONE,
      value: 745.6998715386,
      offset: 0
    },
    // Electrical power units
    VAR: {
      name: "VAR",
      base: O.POWER,
      prefixes: _.SHORT,
      value: v.I,
      offset: 0
    },
    VA: {
      name: "VA",
      base: O.POWER,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    // Pressure
    Pa: {
      name: "Pa",
      base: O.PRESSURE,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    psi: {
      name: "psi",
      base: O.PRESSURE,
      prefixes: _.NONE,
      value: 6894.75729276459,
      offset: 0
    },
    atm: {
      name: "atm",
      base: O.PRESSURE,
      prefixes: _.NONE,
      value: 101325,
      offset: 0
    },
    bar: {
      name: "bar",
      base: O.PRESSURE,
      prefixes: _.SHORTLONG,
      value: 1e5,
      offset: 0
    },
    torr: {
      name: "torr",
      base: O.PRESSURE,
      prefixes: _.NONE,
      value: 133.322,
      offset: 0
    },
    mmHg: {
      name: "mmHg",
      base: O.PRESSURE,
      prefixes: _.NONE,
      value: 133.322,
      offset: 0
    },
    mmH2O: {
      name: "mmH2O",
      base: O.PRESSURE,
      prefixes: _.NONE,
      value: 9.80665,
      offset: 0
    },
    cmH2O: {
      name: "cmH2O",
      base: O.PRESSURE,
      prefixes: _.NONE,
      value: 98.0665,
      offset: 0
    },
    // Electric charge
    coulomb: {
      name: "coulomb",
      base: O.ELECTRIC_CHARGE,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    C: {
      name: "C",
      base: O.ELECTRIC_CHARGE,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    // Electric capacitance
    farad: {
      name: "farad",
      base: O.ELECTRIC_CAPACITANCE,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    F: {
      name: "F",
      base: O.ELECTRIC_CAPACITANCE,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    // Electric potential
    volt: {
      name: "volt",
      base: O.ELECTRIC_POTENTIAL,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    V: {
      name: "V",
      base: O.ELECTRIC_POTENTIAL,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    // Electric resistance
    ohm: {
      name: "ohm",
      base: O.ELECTRIC_RESISTANCE,
      prefixes: _.SHORTLONG,
      // Both Mohm and megaohm are acceptable
      value: 1,
      offset: 0
    },
    /*
     * Unicode breaks in browsers if charset is not specified
    Ω: {
      name: 'Ω',
      base: BASE_UNITS.ELECTRIC_RESISTANCE,
      prefixes: PREFIXES.SHORT,
      value: 1,
      offset: 0
    },
    */
    // Electric inductance
    henry: {
      name: "henry",
      base: O.ELECTRIC_INDUCTANCE,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    H: {
      name: "H",
      base: O.ELECTRIC_INDUCTANCE,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    // Electric conductance
    siemens: {
      name: "siemens",
      base: O.ELECTRIC_CONDUCTANCE,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    S: {
      name: "S",
      base: O.ELECTRIC_CONDUCTANCE,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    // Magnetic flux
    weber: {
      name: "weber",
      base: O.MAGNETIC_FLUX,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    Wb: {
      name: "Wb",
      base: O.MAGNETIC_FLUX,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    // Magnetic flux density
    tesla: {
      name: "tesla",
      base: O.MAGNETIC_FLUX_DENSITY,
      prefixes: _.LONG,
      value: 1,
      offset: 0
    },
    T: {
      name: "T",
      base: O.MAGNETIC_FLUX_DENSITY,
      prefixes: _.SHORT,
      value: 1,
      offset: 0
    },
    // Binary
    b: {
      name: "b",
      base: O.BIT,
      prefixes: _.BINARY_SHORT,
      value: 1,
      offset: 0
    },
    bits: {
      name: "bits",
      base: O.BIT,
      prefixes: _.BINARY_LONG,
      value: 1,
      offset: 0
    },
    B: {
      name: "B",
      base: O.BIT,
      prefixes: _.BINARY_SHORT,
      value: 8,
      offset: 0
    },
    bytes: {
      name: "bytes",
      base: O.BIT,
      prefixes: _.BINARY_LONG,
      value: 8,
      offset: 0
    }
  }, Q = {
    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",
    fldr: "fluiddram",
    fluiddrams: "fluiddram",
    floz: "fluidounce",
    fluidounces: "fluidounce",
    gi: "gill",
    gills: "gill",
    cp: "cup",
    cups: "cup",
    pt: "pint",
    pints: "pint",
    qt: "quart",
    quarts: "quart",
    gal: "gallon",
    gallons: "gallon",
    bbl: "beerbarrel",
    beerbarrels: "beerbarrel",
    obl: "oilbarrel",
    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",
    amps: "ampere",
    amp: "ampere",
    coulombs: "coulomb",
    volts: "volt",
    ohms: "ohm",
    farads: "farad",
    webers: "weber",
    teslas: "tesla",
    electronvolts: "electronvolt",
    moles: "mole",
    bit: "bits",
    byte: "bytes"
  };
  function se(L) {
    if (L.number === "BigNumber") {
      var H = Ql(b);
      R.rad.value = new b(1), R.deg.value = H.div(180), R.grad.value = H.div(200), R.cycle.value = H.times(2), R.arcsec.value = H.div(648e3), R.arcmin.value = H.div(10800);
    } else
      R.rad.value = 1, R.deg.value = Math.PI / 180, R.grad.value = Math.PI / 200, R.cycle.value = Math.PI * 2, R.arcsec.value = Math.PI / 648e3, R.arcmin.value = Math.PI / 10800;
    R.radian.value = R.rad.value, R.degree.value = R.deg.value, R.gradian.value = R.grad.value;
  }
  se(t), r && r("config", function(L, H) {
    L.number !== H.number && se(L);
  });
  var re = {
    si: {
      // Base units
      NONE: {
        unit: V,
        prefix: _.NONE[""]
      },
      LENGTH: {
        unit: R.m,
        prefix: _.SHORT[""]
      },
      MASS: {
        unit: R.g,
        prefix: _.SHORT.k
      },
      TIME: {
        unit: R.s,
        prefix: _.SHORT[""]
      },
      CURRENT: {
        unit: R.A,
        prefix: _.SHORT[""]
      },
      TEMPERATURE: {
        unit: R.K,
        prefix: _.SHORT[""]
      },
      LUMINOUS_INTENSITY: {
        unit: R.cd,
        prefix: _.SHORT[""]
      },
      AMOUNT_OF_SUBSTANCE: {
        unit: R.mol,
        prefix: _.SHORT[""]
      },
      ANGLE: {
        unit: R.rad,
        prefix: _.SHORT[""]
      },
      BIT: {
        unit: R.bits,
        prefix: _.SHORT[""]
      },
      // Derived units
      FORCE: {
        unit: R.N,
        prefix: _.SHORT[""]
      },
      ENERGY: {
        unit: R.J,
        prefix: _.SHORT[""]
      },
      POWER: {
        unit: R.W,
        prefix: _.SHORT[""]
      },
      PRESSURE: {
        unit: R.Pa,
        prefix: _.SHORT[""]
      },
      ELECTRIC_CHARGE: {
        unit: R.C,
        prefix: _.SHORT[""]
      },
      ELECTRIC_CAPACITANCE: {
        unit: R.F,
        prefix: _.SHORT[""]
      },
      ELECTRIC_POTENTIAL: {
        unit: R.V,
        prefix: _.SHORT[""]
      },
      ELECTRIC_RESISTANCE: {
        unit: R.ohm,
        prefix: _.SHORT[""]
      },
      ELECTRIC_INDUCTANCE: {
        unit: R.H,
        prefix: _.SHORT[""]
      },
      ELECTRIC_CONDUCTANCE: {
        unit: R.S,
        prefix: _.SHORT[""]
      },
      MAGNETIC_FLUX: {
        unit: R.Wb,
        prefix: _.SHORT[""]
      },
      MAGNETIC_FLUX_DENSITY: {
        unit: R.T,
        prefix: _.SHORT[""]
      },
      FREQUENCY: {
        unit: R.Hz,
        prefix: _.SHORT[""]
      }
    }
  };
  re.cgs = JSON.parse(JSON.stringify(re.si)), re.cgs.LENGTH = {
    unit: R.m,
    prefix: _.SHORT.c
  }, re.cgs.MASS = {
    unit: R.g,
    prefix: _.SHORT[""]
  }, re.cgs.FORCE = {
    unit: R.dyn,
    prefix: _.SHORT[""]
  }, re.cgs.ENERGY = {
    unit: R.erg,
    prefix: _.NONE[""]
  }, re.us = JSON.parse(JSON.stringify(re.si)), re.us.LENGTH = {
    unit: R.ft,
    prefix: _.NONE[""]
  }, re.us.MASS = {
    unit: R.lbm,
    prefix: _.NONE[""]
  }, re.us.TEMPERATURE = {
    unit: R.degF,
    prefix: _.NONE[""]
  }, re.us.FORCE = {
    unit: R.lbf,
    prefix: _.NONE[""]
  }, re.us.ENERGY = {
    unit: R.BTU,
    prefix: _.BTU[""]
  }, re.us.POWER = {
    unit: R.hp,
    prefix: _.NONE[""]
  }, re.us.PRESSURE = {
    unit: R.psi,
    prefix: _.NONE[""]
  }, re.auto = JSON.parse(JSON.stringify(re.si));
  var q = re.auto;
  h.setUnitSystem = function(L) {
    if (Fe(re, L))
      q = re[L];
    else
      throw new Error("Unit system " + L + " does not exist. Choices are: " + Object.keys(re).join(", "));
  }, h.getUnitSystem = function() {
    for (var L in re)
      if (Fe(re, L) && re[L] === q)
        return L;
  }, h.typeConverters = {
    BigNumber: function(H) {
      return H != null && H.isFraction ? new b(H.n).div(H.d).times(H.s) : new b(H + "");
    },
    Fraction: function(H) {
      return new y(H);
    },
    Complex: function(H) {
      return H;
    },
    number: function(H) {
      return H != null && H.isFraction ? m(H) : H;
    }
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      throw new TypeError('Unsupported type "' + L + '"');
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  for (var Z in R)
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      var K = R[Z];
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  for (var j in Q)
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      var ee = R[Q[j]], te = {};
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  return h.createUnit = function(L, H) {
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      pe = H.definition, xe = H.prefixes, me = H.offset, De = H.baseName, H.aliases && (ie = H.aliases.valueOf());
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      for (var k = 0; k < ie.length; k++)
        if (Fe(R, ie[k]))
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      try {
        ne = h.parse(pe, {
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        name: L,
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              we = !1;
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            de = !0, J.base = O[Ne];
            break;
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        ae.dimensions[fe] = 0;
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        offset: me,
        base: O[De]
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        unit: J,
        prefix: _.NONE[""]
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    h.UNITS[L] = J;
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}), dm = "sparse", o5 = ["typed", "SparseMatrix"], s5 = /* @__PURE__ */ P(dm, o5, (e) => {
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}), pm = "createUnit", u5 = ["typed", "Unit"], l5 = /* @__PURE__ */ P(pm, u5, (e) => {
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    typed: r,
    Unit: t
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  var {
    typed: r,
    config: t,
    Complex: n
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}), vm = "acosh", d5 = ["typed", "config", "Complex"], p5 = /* @__PURE__ */ P(vm, d5, (e) => {
  var {
    typed: r,
    config: t,
    Complex: n
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      return i >= 1 || t.predictable ? ry(i) : i <= -1 ? new n(Math.log(Math.sqrt(i * i - 1) - i), Math.PI) : new n(i, 0).acosh();
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}), hm = "acot", m5 = ["typed", "BigNumber"], v5 = /* @__PURE__ */ P(hm, m5, (e) => {
  var {
    typed: r,
    BigNumber: t
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    number: ty,
    Complex: function(a) {
      return a.acot();
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    BigNumber: function(a) {
      return new t(1).div(a).atan();
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}), gm = "acoth", h5 = ["typed", "config", "Complex", "BigNumber"], g5 = /* @__PURE__ */ P(gm, h5, (e) => {
  var {
    typed: r,
    config: t,
    Complex: n,
    BigNumber: a
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    number: function(o) {
      return o >= 1 || o <= -1 || t.predictable ? ny(o) : new n(o, 0).acoth();
    },
    Complex: function(o) {
      return o.acoth();
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    BigNumber: function(o) {
      return new a(1).div(o).atanh();
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  var {
    typed: r,
    config: t,
    Complex: n,
    BigNumber: a
  } = e;
  return r(ym, {
    number: function(o) {
      return o <= -1 || o >= 1 || t.predictable ? ay(o) : new n(o, 0).acsc();
    },
    Complex: function(o) {
      return o.acsc();
    },
    BigNumber: function(o) {
      return new a(1).div(o).asin();
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}), bm = "acsch", w5 = ["typed", "BigNumber"], x5 = /* @__PURE__ */ P(bm, w5, (e) => {
  var {
    typed: r,
    BigNumber: t
  } = e;
  return r(bm, {
    number: iy,
    Complex: function(a) {
      return a.acsch();
    },
    BigNumber: function(a) {
      return new t(1).div(a).asinh();
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  var {
    typed: r,
    config: t,
    Complex: n,
    BigNumber: a
  } = e;
  return r(wm, {
    number: function(o) {
      return o <= -1 || o >= 1 || t.predictable ? oy(o) : new n(o, 0).asec();
    },
    Complex: function(o) {
      return o.asec();
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    BigNumber: function(o) {
      return new a(1).div(o).acos();
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}), xm = "asech", D5 = ["typed", "config", "Complex", "BigNumber"], E5 = /* @__PURE__ */ P(xm, D5, (e) => {
  var {
    typed: r,
    config: t,
    Complex: n,
    BigNumber: a
  } = e;
  return r(xm, {
    number: function(o) {
      if (o <= 1 && o >= -1 || t.predictable) {
        var l = 1 / o;
        if (l > 0 || t.predictable)
          return sy(o);
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        return new n(Math.log(u - l), Math.PI);
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      return new n(o, 0).asech();
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    Complex: function(o) {
      return o.asech();
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    BigNumber: function(o) {
      return new a(1).div(o).acosh();
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}), Am = "asin", S5 = ["typed", "config", "Complex"], C5 = /* @__PURE__ */ P(Am, S5, (e) => {
  var {
    typed: r,
    config: t,
    Complex: n
  } = e;
  return r(Am, {
    number: function(i) {
      return i >= -1 && i <= 1 || t.predictable ? Math.asin(i) : new n(i, 0).asin();
    },
    Complex: function(i) {
      return i.asin();
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    BigNumber: function(i) {
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}), M5 = "asinh", _5 = ["typed"], F5 = /* @__PURE__ */ P(M5, _5, (e) => {
  var {
    typed: r
  } = e;
  return r("asinh", {
    number: uy,
    Complex: function(n) {
      return n.asinh();
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    BigNumber: function(n) {
      return n.asinh();
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}), T5 = "atan", O5 = ["typed"], B5 = /* @__PURE__ */ P(T5, O5, (e) => {
  var {
    typed: r
  } = e;
  return r("atan", {
    number: function(n) {
      return Math.atan(n);
    },
    Complex: function(n) {
      return n.atan();
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    BigNumber: function(n) {
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  var {
    typed: r,
    matrix: t,
    equalScalar: n,
    BigNumber: a,
    DenseMatrix: i,
    concat: o
  } = e, l = Kt({
    typed: r,
    equalScalar: n
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    typed: r
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    typed: r,
    equalScalar: n
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    typed: r,
    equalScalar: n
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    typed: r,
    DenseMatrix: i
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    typed: r,
    matrix: t,
    concat: o
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    "number, number": Math.atan2,
    // Complex numbers doesn't seem to have a reasonable implementation of
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    SD: l,
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  var {
    typed: r,
    config: t,
    Complex: n
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    number: function(i) {
      return i <= 1 && i >= -1 || t.predictable ? ly(i) : new n(i, 0).atanh();
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    Complex: function(i) {
      return i.atanh();
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    BigNumber: function(i) {
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  });
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  var {
    typed: r
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    typed: r
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    number: Math.cos,
    "Complex | BigNumber": (n) => n.cos()
  }, t);
}), Sm = "cosh", L5 = ["typed"], U5 = /* @__PURE__ */ P(Sm, L5, (e) => {
  var {
    typed: r
  } = e;
  return r(Sm, {
    number: UC,
    "Complex | BigNumber": (t) => t.cosh()
  });
}), Cm = "cot", k5 = ["typed", "BigNumber"], V5 = /* @__PURE__ */ P(Cm, k5, (e) => {
  var {
    typed: r,
    BigNumber: t
  } = e, n = mi({
    typed: r
  });
  return r(Cm, {
    number: cy,
    Complex: (a) => a.cot(),
    BigNumber: (a) => new t(1).div(a.tan())
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  var {
    typed: r,
    BigNumber: t
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    number: fy,
    Complex: (n) => n.coth(),
    BigNumber: (n) => new t(1).div(n.tanh())
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  var {
    typed: r,
    BigNumber: t
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    typed: r
  });
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    number: dy,
    Complex: (a) => a.csc(),
    BigNumber: (a) => new t(1).div(a.sin())
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  var {
    typed: r,
    BigNumber: t
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    number: py,
    Complex: (n) => n.csch(),
    BigNumber: (n) => new t(1).div(n.sinh())
  });
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  var {
    typed: r,
    BigNumber: t
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    typed: r
  });
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    number: my,
    Complex: (a) => a.sec(),
    BigNumber: (a) => new t(1).div(a.cos())
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    BigNumber: t
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    number: vy,
    Complex: (n) => n.sech(),
    BigNumber: (n) => new t(1).div(n.cosh())
  });
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  var {
    typed: r
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    typed: r
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    number: Math.sin,
    "Complex | BigNumber": (n) => n.sin()
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    typed: r
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    number: hy,
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    typed: r
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    typed: r
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    number: Math.tan,
    "Complex | BigNumber": (n) => n.tan()
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    typed: r
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    number: VC,
    "Complex | BigNumber": (t) => t.tanh()
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    size: t,
    subset: n,
    compareNatural: a,
    Index: i,
    DenseMatrix: o
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    size: t,
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     * This has to be implemented by every Node
     *
     * @throws {Error}
     */
    _toString() {
      throw new Error("_toString not implemented for " + this.type);
    }
    /**
     * Get a JSON representation of the node
     * Both .toJSON() and the static .fromJSON(json) should be implemented by all
     * implementations of Node
     * @returns {Object}
     */
    toJSON() {
      throw new Error("Cannot serialize object: toJSON not implemented by " + this.type);
    }
    /**
     * Get HTML representation. (wrapper function)
     *
     * This function can get an object of the following form:
     * {
     *    handler: //This can be a callback function of the form
     *             // "function callback(node, options)" or
     *             // a map that maps function names (used in FunctionNodes)
     *             // to callbacks
     *    parenthesis: "keep" //the parenthesis option (This is optional)
     * }
     *
     * @param {Object} [options]
     * @return {string}
     */
    toHTML(i) {
      var o = this._getCustomString(i);
      return typeof o < "u" ? o : this._toHTML(i);
    }
    /**
     * Internal function to generate the HTML output.
     * This has to be implemented by every Node
     *
     * @throws {Error}
     */
    _toHTML() {
      throw new Error("_toHTML not implemented for " + this.type);
    }
    /**
     * Get LaTeX representation. (wrapper function)
     *
     * This function can get an object of the following form:
     * {
     *    handler: //This can be a callback function of the form
     *             // "function callback(node, options)"or
     *             // a map that maps function names (used in FunctionNodes)
     *             // to callbacks
     *    parenthesis: "keep" //the parenthesis option (This is optional)
     * }
     *
     * @param {Object} [options]
     * @return {string}
     */
    toTex(i) {
      var o = this._getCustomString(i);
      return typeof o < "u" ? o : this._toTex(i);
    }
    /**
     * Internal function to generate the LaTeX output.
     * This has to be implemented by every Node
     *
     * @param {Object} [options]
     * @throws {Error}
     */
    _toTex(i) {
      throw new Error("_toTex not implemented for " + this.type);
    }
    /**
     * Helper used by `to...` functions.
     */
    _getCustomString(i) {
      if (i && typeof i == "object")
        switch (typeof i.handler) {
          case "object":
          case "undefined":
            return;
          case "function":
            return i.handler(this, i);
          default:
            throw new TypeError("Object or function expected as callback");
        }
    }
    /**
     * Get identifier.
     * @return {string}
     */
    getIdentifier() {
      return this.type;
    }
    /**
     * Get the content of the current Node.
     * @return {Node} node
     **/
    getContent() {
      return this;
    }
  }
  return n;
}, {
  isClass: !0,
  isNode: !0
});
function lt(e) {
  return e && e.isIndexError ? new $t(e.index + 1, e.min + 1, e.max !== void 0 ? e.max + 1 : void 0) : e;
}
function Vy(e) {
  var {
    subset: r
  } = e;
  return function(n, a) {
    try {
      if (Array.isArray(n))
        return r(n, a);
      if (n && typeof n.subset == "function")
        return n.subset(a);
      if (typeof n == "string")
        return r(n, a);
      if (typeof n == "object") {
        if (!a.isObjectProperty())
          throw new TypeError("Cannot apply a numeric index as object property");
        return it(n, a.getObjectProperty());
      } else
        throw new TypeError("Cannot apply index: unsupported type of object");
    } catch (i) {
      throw lt(i);
    }
  };
}
var vo = "AccessorNode", Z8 = ["subset", "Node"], G8 = /* @__PURE__ */ P(vo, Z8, (e) => {
  var {
    subset: r,
    Node: t
  } = e, n = Vy({
    subset: r
  });
  function a(o) {
    return !(Jn(o) || bt(o) || nr(o) || En(o) || Wi(o) || rn(o) || $r(o));
  }
  class i extends t {
    /**
     * @constructor AccessorNode
     * @extends {Node}
     * Access an object property or get a matrix subset
     *
     * @param {Node} object                 The object from which to retrieve
     *                                      a property or subset.
     * @param {IndexNode} index             IndexNode containing ranges
     */
    constructor(l, u) {
      if (super(), !fr(l))
        throw new TypeError('Node expected for parameter "object"');
      if (!Na(u))
        throw new TypeError('IndexNode expected for parameter "index"');
      this.object = l, this.index = u;
    }
    // readonly property name
    get name() {
      return this.index ? this.index.isObjectProperty() ? this.index.getObjectProperty() : "" : this.object.name || "";
    }
    get type() {
      return vo;
    }
    get isAccessorNode() {
      return !0;
    }
    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(l, u) {
      var s = this.object._compile(l, u), c = this.index._compile(l, u);
      if (this.index.isObjectProperty()) {
        var f = this.index.getObjectProperty();
        return function(p, m, v) {
          return it(s(p, m, v), f);
        };
      } else
        return function(p, m, v) {
          var b = s(p, m, v), y = c(p, m, b);
          return n(b, y);
        };
    }
    /**
     * Execute a callback for each of the child nodes of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(l) {
      l(this.object, "object", this), l(this.index, "index", this);
    }
    /**
     * Create a new AccessorNode whose children are the results of calling
     * the provided callback function for each child of the original node.
     * @param {function(child: Node, path: string, parent: Node): Node} callback
     * @returns {AccessorNode} Returns a transformed copy of the node
     */
    map(l) {
      return new i(this._ifNode(l(this.object, "object", this)), this._ifNode(l(this.index, "index", this)));
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {AccessorNode}
     */
    clone() {
      return new i(this.object, this.index);
    }
    /**
     * Get string representation
     * @param {Object} options
     * @return {string}
     */
    _toString(l) {
      var u = this.object.toString(l);
      return a(this.object) && (u = "(" + u + ")"), u + this.index.toString(l);
    }
    /**
     * Get HTML representation
     * @param {Object} options
     * @return {string}
     */
    _toHTML(l) {
      var u = this.object.toHTML(l);
      return a(this.object) && (u = '<span class="math-parenthesis math-round-parenthesis">(</span>' + u + '<span class="math-parenthesis math-round-parenthesis">)</span>'), u + this.index.toHTML(l);
    }
    /**
     * Get LaTeX representation
     * @param {Object} options
     * @return {string}
     */
    _toTex(l) {
      var u = this.object.toTex(l);
      return a(this.object) && (u = "\\left(' + object + '\\right)"), u + this.index.toTex(l);
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      return {
        mathjs: vo,
        object: this.object,
        index: this.index
      };
    }
    /**
     * Instantiate an AccessorNode from its JSON representation
     * @param {Object} json
     *     An object structured like
     *     `{"mathjs": "AccessorNode", object: ..., index: ...}`,
     *     where mathjs is optional
     * @returns {AccessorNode}
     */
    static fromJSON(l) {
      return new i(l.object, l.index);
    }
  }
  return Rr(i, "name", vo), i;
}, {
  isClass: !0,
  isNode: !0
}), ho = "ArrayNode", W8 = ["Node"], K8 = /* @__PURE__ */ P(ho, W8, (e) => {
  var {
    Node: r
  } = e;
  class t extends r {
    /**
     * @constructor ArrayNode
     * @extends {Node}
     * Holds an 1-dimensional array with items
     * @param {Node[]} [items]   1 dimensional array with items
     */
    constructor(a) {
      if (super(), this.items = a || [], !Array.isArray(this.items) || !this.items.every(fr))
        throw new TypeError("Array containing Nodes expected");
    }
    get type() {
      return ho;
    }
    get isArrayNode() {
      return !0;
    }
    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(a, i) {
      var o = Wn(this.items, function(s) {
        return s._compile(a, i);
      }), l = a.config.matrix !== "Array";
      if (l) {
        var u = a.matrix;
        return function(c, f, d) {
          return u(Wn(o, function(p) {
            return p(c, f, d);
          }));
        };
      } else
        return function(c, f, d) {
          return Wn(o, function(p) {
            return p(c, f, d);
          });
        };
    }
    /**
     * Execute a callback for each of the child nodes of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(a) {
      for (var i = 0; i < this.items.length; i++) {
        var o = this.items[i];
        a(o, "items[" + i + "]", this);
      }
    }
    /**
     * Create a new ArrayNode whose children are the results of calling
     * the provided callback function for each child of the original node.
     * @param {function(child: Node, path: string, parent: Node): Node} callback
     * @returns {ArrayNode} Returns a transformed copy of the node
     */
    map(a) {
      for (var i = [], o = 0; o < this.items.length; o++)
        i[o] = this._ifNode(a(this.items[o], "items[" + o + "]", this));
      return new t(i);
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {ArrayNode}
     */
    clone() {
      return new t(this.items.slice(0));
    }
    /**
     * Get string representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
    _toString(a) {
      var i = this.items.map(function(o) {
        return o.toString(a);
      });
      return "[" + i.join(", ") + "]";
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      return {
        mathjs: ho,
        items: this.items
      };
    }
    /**
     * Instantiate an ArrayNode from its JSON representation
     * @param {Object} json  An object structured like
     *                       `{"mathjs": "ArrayNode", items: [...]}`,
     *                       where mathjs is optional
     * @returns {ArrayNode}
     */
    static fromJSON(a) {
      return new t(a.items);
    }
    /**
     * Get HTML representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
    _toHTML(a) {
      var i = this.items.map(function(o) {
        return o.toHTML(a);
      });
      return '<span class="math-parenthesis math-square-parenthesis">[</span>' + i.join('<span class="math-separator">,</span>') + '<span class="math-parenthesis math-square-parenthesis">]</span>';
    }
    /**
     * Get LaTeX representation
     * @param {Object} options
     * @return {string} str
     */
    _toTex(a) {
      function i(o, l) {
        var u = o.some(bt) && !o.every(bt), s = l || u, c = s ? "&" : "\\\\", f = o.map(function(d) {
          return d.items ? i(d.items, !l) : d.toTex(a);
        }).join(c);
        return u || !s || s && !l ? "\\begin{bmatrix}" + f + "\\end{bmatrix}" : f;
      }
      return i(this.items, !1);
    }
  }
  return Rr(t, "name", ho), t;
}, {
  isClass: !0,
  isNode: !0
});
function J8(e) {
  var {
    subset: r,
    matrix: t
  } = e;
  return function(a, i, o) {
    try {
      if (Array.isArray(a)) {
        var l = t(a).subset(i, o).valueOf();
        return l.forEach((u, s) => {
          a[s] = u;
        }), a;
      } else {
        if (a && typeof a.subset == "function")
          return a.subset(i, o);
        if (typeof a == "string")
          return r(a, i, o);
        if (typeof a == "object") {
          if (!i.isObjectProperty())
            throw TypeError("Cannot apply a numeric index as object property");
          return Xa(a, i.getObjectProperty(), o), a;
        } else
          throw new TypeError("Cannot apply index: unsupported type of object");
      }
    } catch (u) {
      throw lt(u);
    }
  };
}
var Pt = [{
  // assignment
  AssignmentNode: {},
  FunctionAssignmentNode: {}
}, {
  // conditional expression
  ConditionalNode: {
    latexLeftParens: !1,
    latexRightParens: !1,
    latexParens: !1
    // conditionals don't need parentheses in LaTeX because
    // they are 2 dimensional
  }
}, {
  // logical or
  "OperatorNode:or": {
    op: "or",
    associativity: "left",
    associativeWith: []
  }
}, {
  // logical xor
  "OperatorNode:xor": {
    op: "xor",
    associativity: "left",
    associativeWith: []
  }
}, {
  // logical and
  "OperatorNode:and": {
    op: "and",
    associativity: "left",
    associativeWith: []
  }
}, {
  // bitwise or
  "OperatorNode:bitOr": {
    op: "|",
    associativity: "left",
    associativeWith: []
  }
}, {
  // bitwise xor
  "OperatorNode:bitXor": {
    op: "^|",
    associativity: "left",
    associativeWith: []
  }
}, {
  // bitwise and
  "OperatorNode:bitAnd": {
    op: "&",
    associativity: "left",
    associativeWith: []
  }
}, {
  // relational operators
  "OperatorNode:equal": {
    op: "==",
    associativity: "left",
    associativeWith: []
  },
  "OperatorNode:unequal": {
    op: "!=",
    associativity: "left",
    associativeWith: []
  },
  "OperatorNode:smaller": {
    op: "<",
    associativity: "left",
    associativeWith: []
  },
  "OperatorNode:larger": {
    op: ">",
    associativity: "left",
    associativeWith: []
  },
  "OperatorNode:smallerEq": {
    op: "<=",
    associativity: "left",
    associativeWith: []
  },
  "OperatorNode:largerEq": {
    op: ">=",
    associativity: "left",
    associativeWith: []
  },
  RelationalNode: {
    associativity: "left",
    associativeWith: []
  }
}, {
  // bitshift operators
  "OperatorNode:leftShift": {
    op: "<<",
    associativity: "left",
    associativeWith: []
  },
  "OperatorNode:rightArithShift": {
    op: ">>",
    associativity: "left",
    associativeWith: []
  },
  "OperatorNode:rightLogShift": {
    op: ">>>",
    associativity: "left",
    associativeWith: []
  }
}, {
  // unit conversion
  "OperatorNode:to": {
    op: "to",
    associativity: "left",
    associativeWith: []
  }
}, {
  // range
  RangeNode: {}
}, {
  // addition, subtraction
  "OperatorNode:add": {
    op: "+",
    associativity: "left",
    associativeWith: ["OperatorNode:add", "OperatorNode:subtract"]
  },
  "OperatorNode:subtract": {
    op: "-",
    associativity: "left",
    associativeWith: []
  }
}, {
  // multiply, divide, modulus
  "OperatorNode:multiply": {
    op: "*",
    associativity: "left",
    associativeWith: ["OperatorNode:multiply", "OperatorNode:divide", "Operator:dotMultiply", "Operator:dotDivide"]
  },
  "OperatorNode:divide": {
    op: "/",
    associativity: "left",
    associativeWith: [],
    latexLeftParens: !1,
    latexRightParens: !1,
    latexParens: !1
    // fractions don't require parentheses because
    // they're 2 dimensional, so parens aren't needed
    // in LaTeX
  },
  "OperatorNode:dotMultiply": {
    op: ".*",
    associativity: "left",
    associativeWith: ["OperatorNode:multiply", "OperatorNode:divide", "OperatorNode:dotMultiply", "OperatorNode:doDivide"]
  },
  "OperatorNode:dotDivide": {
    op: "./",
    associativity: "left",
    associativeWith: []
  },
  "OperatorNode:mod": {
    op: "mod",
    associativity: "left",
    associativeWith: []
  }
}, {
  // Repeat multiplication for implicit multiplication
  "OperatorNode:multiply": {
    associativity: "left",
    associativeWith: ["OperatorNode:multiply", "OperatorNode:divide", "Operator:dotMultiply", "Operator:dotDivide"]
  }
}, {
  // unary prefix operators
  "OperatorNode:unaryPlus": {
    op: "+",
    associativity: "right"
  },
  "OperatorNode:unaryMinus": {
    op: "-",
    associativity: "right"
  },
  "OperatorNode:bitNot": {
    op: "~",
    associativity: "right"
  },
  "OperatorNode:not": {
    op: "not",
    associativity: "right"
  }
}, {
  // exponentiation
  "OperatorNode:pow": {
    op: "^",
    associativity: "right",
    associativeWith: [],
    latexRightParens: !1
    // the exponent doesn't need parentheses in
    // LaTeX because it's 2 dimensional
    // (it's on top)
  },
  "OperatorNode:dotPow": {
    op: ".^",
    associativity: "right",
    associativeWith: []
  }
}, {
  // factorial
  "OperatorNode:factorial": {
    op: "!",
    associativity: "left"
  }
}, {
  // matrix transpose
  "OperatorNode:ctranspose": {
    op: "'",
    associativity: "left"
  }
}];
function go(e, r) {
  if (!r || r !== "auto") return e;
  for (var t = e; rn(t); ) t = t.content;
  return t;
}
function pr(e, r, t, n) {
  var a = e;
  r !== "keep" && (a = e.getContent());
  for (var i = a.getIdentifier(), o = null, l = 0; l < Pt.length; l++)
    if (i in Pt[l]) {
      o = l;
      break;
    }
  if (i === "OperatorNode:multiply" && a.implicit && t !== "show") {
    var u = go(a.args[0], r);
    !(nr(u) && n && n.getIdentifier() === "OperatorNode:divide" && Pu(go(n.args[0], r))) && !(u.getIdentifier() === "OperatorNode:divide" && Pu(go(u.args[0], r)) && nr(go(u.args[1]))) && (o += 1);
  }
  return o;
}
function Ni(e, r) {
  var t = e;
  r !== "keep" && (t = e.getContent());
  var n = t.getIdentifier(), a = pr(t, r);
  if (a === null)
    return null;
  var i = Pt[a][n];
  if (Fe(i, "associativity")) {
    if (i.associativity === "left")
      return "left";
    if (i.associativity === "right")
      return "right";
    throw Error("'" + n + "' has the invalid associativity '" + i.associativity + "'.");
  }
  return null;
}
function vu(e, r, t) {
  var n = t !== "keep" ? e.getContent() : e, a = t !== "keep" ? e.getContent() : r, i = n.getIdentifier(), o = a.getIdentifier(), l = pr(n, t);
  if (l === null)
    return null;
  var u = Pt[l][i];
  if (Fe(u, "associativeWith") && u.associativeWith instanceof Array) {
    for (var s = 0; s < u.associativeWith.length; s++)
      if (u.associativeWith[s] === o)
        return !0;
    return !1;
  }
  return null;
}
function Y8(e) {
  var r = "OperatorNode:" + e;
  for (var t of Pt)
    if (r in t)
      return t[r].op;
  return null;
}
var yo = "AssignmentNode", j8 = [
  "subset",
  "?matrix",
  // FIXME: should not be needed at all, should be handled by subset
  "Node"
], X8 = /* @__PURE__ */ P(yo, j8, (e) => {
  var {
    subset: r,
    matrix: t,
    Node: n
  } = e, a = Vy({
    subset: r
  }), i = J8({
    subset: r,
    matrix: t
  });
  function o(u, s, c) {
    s || (s = "keep");
    var f = pr(u, s, c), d = pr(u.value, s, c);
    return s === "all" || d !== null && d <= f;
  }
  class l extends n {
    /**
     * @constructor AssignmentNode
     * @extends {Node}
     *
     * Define a symbol, like `a=3.2`, update a property like `a.b=3.2`, or
     * replace a subset of a matrix like `A[2,2]=42`.
     *
     * Syntax:
     *
     *     new AssignmentNode(symbol, value)
     *     new AssignmentNode(object, index, value)
     *
     * Usage:
     *
     *    new AssignmentNode(new SymbolNode('a'), new ConstantNode(2))  // a=2
     *    new AssignmentNode(new SymbolNode('a'),
     *                       new IndexNode('b'),
     *                       new ConstantNode(2))   // a.b=2
     *    new AssignmentNode(new SymbolNode('a'),
     *                       new IndexNode(1, 2),
     *                       new ConstantNode(3))  // a[1,2]=3
     *
     * @param {SymbolNode | AccessorNode} object
     *     Object on which to assign a value
     * @param {IndexNode} [index=null]
     *     Index, property name or matrix index. Optional. If not provided
     *     and `object` is a SymbolNode, the property is assigned to the
     *     global scope.
     * @param {Node} value
     *     The value to be assigned
     */
    constructor(s, c, f) {
      if (super(), this.object = s, this.index = f ? c : null, this.value = f || c, !$r(s) && !Jn(s))
        throw new TypeError('SymbolNode or AccessorNode expected as "object"');
      if ($r(s) && s.name === "end")
        throw new Error('Cannot assign to symbol "end"');
      if (this.index && !Na(this.index))
        throw new TypeError('IndexNode expected as "index"');
      if (!fr(this.value))
        throw new TypeError('Node expected as "value"');
    }
    // class name for typing purposes:
    // readonly property name
    get name() {
      return this.index ? this.index.isObjectProperty() ? this.index.getObjectProperty() : "" : this.object.name || "";
    }
    get type() {
      return yo;
    }
    get isAssignmentNode() {
      return !0;
    }
    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(s, c) {
      var f = this.object._compile(s, c), d = this.index ? this.index._compile(s, c) : null, p = this.value._compile(s, c), m = this.object.name;
      if (this.index)
        if (this.index.isObjectProperty()) {
          var v = this.index.getObjectProperty();
          return function(x, w, g) {
            var D = f(x, w, g), E = p(x, w, g);
            return Xa(D, v, E), E;
          };
        } else {
          if ($r(this.object))
            return function(x, w, g) {
              var D = f(x, w, g), E = p(x, w, g), N = d(x, w, D);
              return x.set(m, i(D, N, E)), E;
            };
          var b = this.object.object._compile(s, c);
          if (this.object.index.isObjectProperty()) {
            var y = this.object.index.getObjectProperty();
            return function(x, w, g) {
              var D = b(x, w, g), E = it(D, y), N = d(x, w, E), S = p(x, w, g);
              return Xa(D, y, i(E, N, S)), S;
            };
          } else {
            var A = this.object.index._compile(s, c);
            return function(x, w, g) {
              var D = b(x, w, g), E = A(x, w, D), N = a(D, E), S = d(x, w, N), M = p(x, w, g);
              return i(D, E, i(N, S, M)), M;
            };
          }
        }
      else {
        if (!$r(this.object))
          throw new TypeError("SymbolNode expected as object");
        return function(x, w, g) {
          var D = p(x, w, g);
          return x.set(m, D), D;
        };
      }
    }
    /**
     * Execute a callback for each of the child nodes of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(s) {
      s(this.object, "object", this), this.index && s(this.index, "index", this), s(this.value, "value", this);
    }
    /**
     * Create a new AssignmentNode whose children are the results of calling
     * the provided callback function for each child of the original node.
     * @param {function(child: Node, path: string, parent: Node): Node} callback
     * @returns {AssignmentNode} Returns a transformed copy of the node
     */
    map(s) {
      var c = this._ifNode(s(this.object, "object", this)), f = this.index ? this._ifNode(s(this.index, "index", this)) : null, d = this._ifNode(s(this.value, "value", this));
      return new l(c, f, d);
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {AssignmentNode}
     */
    clone() {
      return new l(this.object, this.index, this.value);
    }
    /**
     * Get string representation
     * @param {Object} options
     * @return {string}
     */
    _toString(s) {
      var c = this.object.toString(s), f = this.index ? this.index.toString(s) : "", d = this.value.toString(s);
      return o(this, s && s.parenthesis, s && s.implicit) && (d = "(" + d + ")"), c + f + " = " + d;
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      return {
        mathjs: yo,
        object: this.object,
        index: this.index,
        value: this.value
      };
    }
    /**
     * Instantiate an AssignmentNode from its JSON representation
     * @param {Object} json
     *     An object structured like
     *     `{"mathjs": "AssignmentNode", object: ..., index: ..., value: ...}`,
     *     where mathjs is optional
     * @returns {AssignmentNode}
     */
    static fromJSON(s) {
      return new l(s.object, s.index, s.value);
    }
    /**
     * Get HTML representation
     * @param {Object} options
     * @return {string}
     */
    _toHTML(s) {
      var c = this.object.toHTML(s), f = this.index ? this.index.toHTML(s) : "", d = this.value.toHTML(s);
      return o(this, s && s.parenthesis, s && s.implicit) && (d = '<span class="math-paranthesis math-round-parenthesis">(</span>' + d + '<span class="math-paranthesis math-round-parenthesis">)</span>'), c + f + '<span class="math-operator math-assignment-operator math-variable-assignment-operator math-binary-operator">=</span>' + d;
    }
    /**
     * Get LaTeX representation
     * @param {Object} options
     * @return {string}
     */
    _toTex(s) {
      var c = this.object.toTex(s), f = this.index ? this.index.toTex(s) : "", d = this.value.toTex(s);
      return o(this, s && s.parenthesis, s && s.implicit) && (d = "\\left(".concat(d, "\\right)")), c + f + "=" + d;
    }
  }
  return Rr(l, "name", yo), l;
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  isClass: !0,
  isNode: !0
}), bo = "BlockNode", Q8 = ["ResultSet", "Node"], e6 = /* @__PURE__ */ P(bo, Q8, (e) => {
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    ResultSet: r,
    Node: t
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    /**
     * @constructor BlockNode
     * @extends {Node}
     * Holds a set with blocks
     * @param {Array.<{node: Node} | {node: Node, visible: boolean}>} blocks
     *            An array with blocks, where a block is constructed as an
     *            Object with properties block, which is a Node, and visible,
     *            which is a boolean. The property visible is optional and
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          node: l,
          visible: u
        };
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    get type() {
      return bo;
    }
    get isBlockNode() {
      return !0;
    }
    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(i, o) {
      var l = Wn(this.blocks, function(u) {
        return {
          evaluate: u.node._compile(i, o),
          visible: u.visible
        };
      });
      return function(s, c, f) {
        var d = [];
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          m.visible && d.push(v);
        }), new r(d);
      };
    }
    /**
     * Execute a callback for each of the child blocks of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(i) {
      for (var o = 0; o < this.blocks.length; o++)
        i(this.blocks[o].node, "blocks[" + o + "].node", this);
    }
    /**
     * Create a new BlockNode whose children are the results of calling
     * the provided callback function for each child of the original node.
     * @param {function(child: Node, path: string, parent: Node): Node} callback
     * @returns {BlockNode} Returns a transformed copy of the node
     */
    map(i) {
      for (var o = [], l = 0; l < this.blocks.length; l++) {
        var u = this.blocks[l], s = this._ifNode(i(u.node, "blocks[" + l + "].node", this));
        o[l] = {
          node: s,
          visible: u.visible
        };
      }
      return new n(o);
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {BlockNode}
     */
    clone() {
      var i = this.blocks.map(function(o) {
        return {
          node: o.node,
          visible: o.visible
        };
      });
      return new n(i);
    }
    /**
     * Get string representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
    _toString(i) {
      return this.blocks.map(function(o) {
        return o.node.toString(i) + (o.visible ? "" : ";");
      }).join(`
`);
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      return {
        mathjs: bo,
        blocks: this.blocks
      };
    }
    /**
     * Instantiate an BlockNode from its JSON representation
     * @param {Object} json
     *     An object structured like
     *     `{"mathjs": "BlockNode", blocks: [{node: ..., visible: false}, ...]}`,
     *     where mathjs is optional
     * @returns {BlockNode}
     */
    static fromJSON(i) {
      return new n(i.blocks);
    }
    /**
     * Get HTML representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
    _toHTML(i) {
      return this.blocks.map(function(o) {
        return o.node.toHTML(i) + (o.visible ? "" : '<span class="math-separator">;</span>');
      }).join('<span class="math-separator"><br /></span>');
    }
    /**
     * Get LaTeX representation
     * @param {Object} options
     * @return {string} str
     */
    _toTex(i) {
      return this.blocks.map(function(o) {
        return o.node.toTex(i) + (o.visible ? "" : ";");
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`);
    }
  }
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  isClass: !0,
  isNode: !0
}), wo = "ConditionalNode", r6 = ["Node"], t6 = /* @__PURE__ */ P(wo, r6, (e) => {
  var {
    Node: r
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  function t(a) {
    if (typeof a == "number" || typeof a == "boolean" || typeof a == "string")
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    if (a) {
      if (Ze(a))
        return !a.isZero();
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        return !!(a.re || a.im);
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    if (a == null)
      return !1;
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  }
  class n extends r {
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     * A lazy evaluating conditional operator: 'condition ? trueExpr : falseExpr'
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     * @param {Node} condition   Condition, must result in a boolean
     * @param {Node} trueExpr    Expression evaluated when condition is true
     * @param {Node} falseExpr   Expression evaluated when condition is true
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     * @constructor ConditionalNode
     * @extends {Node}
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        throw new TypeError("Parameter condition must be a Node");
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      return wo;
    }
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      return !0;
    }
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     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(i, o) {
      var l = this.condition._compile(i, o), u = this.trueExpr._compile(i, o), s = this.falseExpr._compile(i, o);
      return function(f, d, p) {
        return t(l(f, d, p)) ? u(f, d, p) : s(f, d, p);
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    }
    /**
     * Execute a callback for each of the child nodes of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(i) {
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     * Create a new ConditionalNode whose children are the results of calling
     * the provided callback function for each child of the original node.
     * @param {function(child: Node, path: string, parent: Node): Node} callback
     * @returns {ConditionalNode} Returns a transformed copy of the node
     */
    map(i) {
      return new n(this._ifNode(i(this.condition, "condition", this)), this._ifNode(i(this.trueExpr, "trueExpr", this)), this._ifNode(i(this.falseExpr, "falseExpr", this)));
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {ConditionalNode}
     */
    clone() {
      return new n(this.condition, this.trueExpr, this.falseExpr);
    }
    /**
     * Get string representation
     * @param {Object} options
     * @return {string} str
     */
    _toString(i) {
      var o = i && i.parenthesis ? i.parenthesis : "keep", l = pr(this, o, i && i.implicit), u = this.condition.toString(i), s = pr(this.condition, o, i && i.implicit);
      (o === "all" || this.condition.type === "OperatorNode" || s !== null && s <= l) && (u = "(" + u + ")");
      var c = this.trueExpr.toString(i), f = pr(this.trueExpr, o, i && i.implicit);
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    }
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     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
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        mathjs: wo,
        condition: this.condition,
        trueExpr: this.trueExpr,
        falseExpr: this.falseExpr
      };
    }
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     * Instantiate an ConditionalNode from its JSON representation
     * @param {Object} json
     *     An object structured like
     *     ```
     *     {"mathjs": "ConditionalNode",
     *      "condition": ...,
     *      "trueExpr": ...,
     *      "falseExpr": ...}
     *     ```
     *     where mathjs is optional
     * @returns {ConditionalNode}
     */
    static fromJSON(i) {
      return new n(i.condition, i.trueExpr, i.falseExpr);
    }
    /**
     * Get HTML representation
     * @param {Object} options
     * @return {string} str
     */
    _toHTML(i) {
      var o = i && i.parenthesis ? i.parenthesis : "keep", l = pr(this, o, i && i.implicit), u = this.condition.toHTML(i), s = pr(this.condition, o, i && i.implicit);
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    }
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     * Get LaTeX representation
     * @param {Object} options
     * @return {string} str
     */
    _toTex(i) {
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    }
  }
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}, {
  isClass: !0,
  isNode: !0
}), Xu = Object.assign || function(e) {
  for (var r = 1; r < arguments.length; r++) {
    var t = arguments[r];
    for (var n in t)
      Object.prototype.hasOwnProperty.call(t, n) && (e[n] = t[n]);
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}, n6 = {
  "{": "\\{",
  "}": "\\}",
  "\\": "\\textbackslash{}",
  "#": "\\#",
  $: "\\$",
  "%": "\\%",
  "&": "\\&",
  "^": "\\textasciicircum{}",
  _: "\\_",
  "~": "\\textasciitilde{}"
}, a6 = {
  "–": "\\--",
  "—": "\\---",
  " ": "~",
  "	": "\\qquad{}",
  "\r\n": "\\newline{}",
  "\n": "\\newline{}"
}, i6 = function(r, t) {
  return Xu({}, r, t);
}, o6 = function(e) {
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    c();
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};
const s6 = /* @__PURE__ */ Es(o6);
var Qu = {
  // GREEK LETTERS
  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",
  // logic
  true: "\\mathrm{True}",
  false: "\\mathrm{False}",
  // other
  i: "i",
  // TODO use \i ??
  inf: "\\infty",
  Inf: "\\infty",
  infinity: "\\infty",
  Infinity: "\\infty",
  oo: "\\infty",
  lim: "\\lim",
  undefined: "\\mathbf{?}"
}, or = {
  transpose: "^\\top",
  ctranspose: "^H",
  factorial: "!",
  pow: "^",
  dotPow: ".^\\wedge",
  // TODO find ideal solution
  unaryPlus: "+",
  unaryMinus: "-",
  bitNot: "\\~",
  // TODO find ideal solution
  not: "\\neg",
  multiply: "\\cdot",
  divide: "\\frac",
  // TODO how to handle that properly?
  dotMultiply: ".\\cdot",
  // TODO find ideal solution
  dotDivide: ".:",
  // TODO find ideal solution
  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"
}, jm = {
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  abs: {
    1: "\\left|${args[0]}\\right|"
  },
  add: {
    2: "\\left(${args[0]}".concat(or.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(${args[0]}".concat(or.dotDivide, "${args[1]}\\right)")
  },
  dotMultiply: {
    2: "\\left(${args[0]}".concat(or.dotMultiply, "${args[1]}\\right)")
  },
  dotPow: {
    2: "\\left(${args[0]}".concat(or.dotPow, "${args[1]}\\right)")
  },
  exp: {
    1: "\\exp\\left(${args[0]}\\right)"
  },
  expm1: "\\left(e".concat(or.pow, "{${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(or.mod, "${args[1]}\\right)")
  },
  multiply: {
    2: "\\left(${args[0]}".concat(or.multiply, "${args[1]}\\right)")
  },
  norm: {
    1: "\\left\\|${args[0]}\\right\\|",
    2: void 0
    // use default template
  },
  nthRoot: {
    2: "\\sqrt[${args[1]}]{${args[0]}}"
  },
  nthRoots: {
    2: "\\{y : $y^{args[1]} = {${args[0]}}\\}"
  },
  pow: {
    2: "\\left(${args[0]}\\right)".concat(or.pow, "{${args[1]}}")
  },
  round: {
    1: "\\left\\lfloor${args[0]}\\right\\rceil",
    2: void 0
    // use default template
  },
  sign: {
    1: "\\mathrm{${name}}\\left(${args[0]}\\right)"
  },
  sqrt: {
    1: "\\sqrt{${args[0]}}"
  },
  square: {
    1: "\\left(${args[0]}\\right)^2"
  },
  subtract: {
    2: "\\left(${args[0]}".concat(or.subtract, "${args[1]}\\right)")
  },
  unaryMinus: {
    1: "".concat(or.unaryMinus, "\\left(${args[0]}\\right)")
  },
  unaryPlus: {
    1: "".concat(or.unaryPlus, "\\left(${args[0]}\\right)")
  },
  // bitwise
  bitAnd: {
    2: "\\left(${args[0]}".concat(or.bitAnd, "${args[1]}\\right)")
  },
  bitNot: {
    1: or.bitNot + "\\left(${args[0]}\\right)"
  },
  bitOr: {
    2: "\\left(${args[0]}".concat(or.bitOr, "${args[1]}\\right)")
  },
  bitXor: {
    2: "\\left(${args[0]}".concat(or.bitXor, "${args[1]}\\right)")
  },
  leftShift: {
    2: "\\left(${args[0]}".concat(or.leftShift, "${args[1]}\\right)")
  },
  rightArithShift: {
    2: "\\left(${args[0]}".concat(or.rightArithShift, "${args[1]}\\right)")
  },
  rightLogShift: {
    2: "\\left(${args[0]}".concat(or.rightLogShift, "${args[1]}\\right)")
  },
  // combinatorics
  bellNumbers: {
    1: "\\mathrm{B}_{${args[0]}}"
  },
  catalan: {
    1: "\\mathrm{C}_{${args[0]}}"
  },
  stirlingS2: {
    2: "\\mathrm{S}\\left(${args}\\right)"
  },
  // complex
  arg: {
    1: "\\arg\\left(${args[0]}\\right)"
  },
  conj: {
    1: "\\left(${args[0]}\\right)^*"
  },
  im: {
    1: "\\Im\\left\\lbrace${args[0]}\\right\\rbrace"
  },
  re: {
    1: "\\Re\\left\\lbrace${args[0]}\\right\\rbrace"
  },
  // logical
  and: {
    2: "\\left(${args[0]}".concat(or.and, "${args[1]}\\right)")
  },
  not: {
    1: or.not + "\\left(${args[0]}\\right)"
  },
  or: {
    2: "\\left(${args[0]}".concat(or.or, "${args[1]}\\right)")
  },
  xor: {
    2: "\\left(${args[0]}".concat(or.xor, "${args[1]}\\right)")
  },
  // matrix
  cross: {
    2: "\\left(${args[0]}\\right)\\times\\left(${args[1]}\\right)"
  },
  ctranspose: {
    1: "\\left(${args[0]}\\right)".concat(or.ctranspose)
  },
  det: {
    1: "\\det\\left(${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}"
  },
  pinv: {
    1: "\\left(${args[0]}\\right)^{+}"
  },
  sqrtm: {
    1: "{${args[0]}}".concat(or.pow, "{\\frac{1}{2}}")
  },
  trace: {
    1: "\\mathrm{tr}\\left(${args[0]}\\right)"
  },
  transpose: {
    1: "\\left(${args[0]}\\right)".concat(or.transpose)
  },
  // probability
  combinations: {
    2: "\\binom{${args[0]}}{${args[1]}}"
  },
  combinationsWithRep: {
    2: "\\left(\\!\\!{\\binom{${args[0]}}{${args[1]}}}\\!\\!\\right)"
  },
  factorial: {
    1: "\\left(${args[0]}\\right)".concat(or.factorial)
  },
  gamma: {
    1: "\\Gamma\\left(${args[0]}\\right)"
  },
  lgamma: {
    1: "\\ln\\Gamma\\left(${args[0]}\\right)"
  },
  // relational
  equal: {
    2: "\\left(${args[0]}".concat(or.equal, "${args[1]}\\right)")
  },
  larger: {
    2: "\\left(${args[0]}".concat(or.larger, "${args[1]}\\right)")
  },
  largerEq: {
    2: "\\left(${args[0]}".concat(or.largerEq, "${args[1]}\\right)")
  },
  smaller: {
    2: "\\left(${args[0]}".concat(or.smaller, "${args[1]}\\right)")
  },
  smallerEq: {
    2: "\\left(${args[0]}".concat(or.smallerEq, "${args[1]}\\right)")
  },
  unequal: {
    2: "\\left(${args[0]}".concat(or.unequal, "${args[1]}\\right)")
  },
  // special
  erf: {
    1: "erf\\left(${args[0]}\\right)"
  },
  // statistics
  max: "\\max\\left(${args}\\right)",
  min: "\\min\\left(${args}\\right)",
  variance: "\\mathrm{Var}\\left(${args}\\right)",
  // trigonometry
  acos: {
    1: "\\cos^{-1}\\left(${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)"
  },
  // unit
  to: {
    2: "\\left(${args[0]}".concat(or.to, "${args[1]}\\right)")
  },
  // utils
  numeric: function(r, t) {
    return r.args[0].toTex();
  },
  // type
  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(${args[0]}\\right)"
  },
  bigint: {
    0: "0",
    1: "\\left(${args[0]}\\right)"
  },
  complex: {
    0: "0",
    1: "\\left(${args[0]}\\right)",
    2: "\\left(\\left(${args[0]}\\right)+".concat(Qu.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)${args[1]}\\right)"
  }
}, u6 = "\\mathrm{${name}}\\left(${args}\\right)", Xm = {
  deg: "^\\circ"
};
function el(e) {
  return s6(e, {
    preserveFormatting: !0
  });
}
function Hy(e, r) {
  return r = typeof r > "u" ? !1 : r, r ? Fe(Xm, e) ? Xm[e] : "\\mathrm{" + el(e) + "}" : Fe(Qu, e) ? Qu[e] : el(e);
}
var xo = "ConstantNode", l6 = ["Node"], c6 = /* @__PURE__ */ P(xo, l6, (e) => {
  var {
    Node: r
  } = e;
  class t extends r {
    /**
     * A ConstantNode holds a constant value like a number or string.
     *
     * Usage:
     *
     *     new ConstantNode(2.3)
     *     new ConstantNode('hello')
     *
     * @param {*} value    Value can be any type (number, BigNumber, bigint, string, ...)
     * @constructor ConstantNode
     * @extends {Node}
     */
    constructor(a) {
      super(), this.value = a;
    }
    get type() {
      return xo;
    }
    get isConstantNode() {
      return !0;
    }
    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(a, i) {
      var o = this.value;
      return function() {
        return o;
      };
    }
    /**
     * Execute a callback for each of the child nodes of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(a) {
    }
    /**
     * Create a new ConstantNode with children produced by the given callback.
     * Trivial because there are no children.
     * @param {function(child: Node, path: string, parent: Node) : Node} callback
     * @returns {ConstantNode} Returns a clone of the node
     */
    map(a) {
      return this.clone();
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {ConstantNode}
     */
    clone() {
      return new t(this.value);
    }
    /**
     * Get string representation
     * @param {Object} options
     * @return {string} str
     */
    _toString(a) {
      return Qe(this.value, a);
    }
    /**
     * Get HTML representation
     * @param {Object} options
     * @return {string} str
     */
    _toHTML(a) {
      var i = this._toString(a);
      switch (yr(this.value)) {
        case "number":
        case "bigint":
        case "BigNumber":
        case "Fraction":
          return '<span class="math-number">' + i + "</span>";
        case "string":
          return '<span class="math-string">' + i + "</span>";
        case "boolean":
          return '<span class="math-boolean">' + i + "</span>";
        case "null":
          return '<span class="math-null-symbol">' + i + "</span>";
        case "undefined":
          return '<span class="math-undefined">' + i + "</span>";
        default:
          return '<span class="math-symbol">' + i + "</span>";
      }
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      return {
        mathjs: xo,
        value: this.value
      };
    }
    /**
     * Instantiate a ConstantNode from its JSON representation
     * @param {Object} json  An object structured like
     *                       `{"mathjs": "SymbolNode", value: 2.3}`,
     *                       where mathjs is optional
     * @returns {ConstantNode}
     */
    static fromJSON(a) {
      return new t(a.value);
    }
    /**
     * Get LaTeX representation
     * @param {Object} options
     * @return {string} str
     */
    _toTex(a) {
      var i = this._toString(a), o = yr(this.value);
      switch (o) {
        case "string":
          return "\\mathtt{" + el(i) + "}";
        case "number":
        case "BigNumber": {
          var l = o === "BigNumber" ? this.value.isFinite() : isFinite(this.value);
          if (!l)
            return this.value.valueOf() < 0 ? "-\\infty" : "\\infty";
          var u = i.toLowerCase().indexOf("e");
          return u !== -1 ? i.substring(0, u) + "\\cdot10^{" + i.substring(u + 1) + "}" : i;
        }
        case "bigint":
          return i.toString();
        case "Fraction":
          return this.value.toLatex();
        default:
          return i;
      }
    }
  }
  return Rr(t, "name", xo), t;
}, {
  isClass: !0,
  isNode: !0
}), Ao = "FunctionAssignmentNode", f6 = ["typed", "Node"], d6 = /* @__PURE__ */ P(Ao, f6, (e) => {
  var {
    typed: r,
    Node: t
  } = e;
  function n(i, o, l) {
    var u = pr(i, o, l), s = pr(i.expr, o, l);
    return o === "all" || s !== null && s <= u;
  }
  class a extends t {
    /**
     * @constructor FunctionAssignmentNode
     * @extends {Node}
     * Function assignment
     *
     * @param {string} name           Function name
     * @param {string[] | Array.<{name: string, type: string}>} params
     *                                Array with function parameter names, or an
     *                                array with objects containing the name
     *                                and type of the parameter
     * @param {Node} expr             The function expression
     */
    constructor(o, l, u) {
      if (super(), typeof o != "string")
        throw new TypeError('String expected for parameter "name"');
      if (!Array.isArray(l))
        throw new TypeError('Array containing strings or objects expected for parameter "params"');
      if (!fr(u))
        throw new TypeError('Node expected for parameter "expr"');
      if (ky.has(o))
        throw new Error('Illegal function name, "' + o + '" is a reserved keyword');
      var s = /* @__PURE__ */ new Set();
      for (var c of l) {
        var f = typeof c == "string" ? c : c.name;
        if (s.has(f))
          throw new Error('Duplicate parameter name "'.concat(f, '"'));
        s.add(f);
      }
      this.name = o, this.params = l.map(function(d) {
        return d && d.name || d;
      }), this.types = l.map(function(d) {
        return d && d.type || "any";
      }), this.expr = u;
    }
    get type() {
      return Ao;
    }
    get isFunctionAssignmentNode() {
      return !0;
    }
    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(o, l) {
      var u = Object.create(l);
      Dg(this.params, function(m) {
        u[m] = !0;
      });
      var s = this.expr._compile(o, u), c = this.name, f = this.params, d = ed(this.types, ","), p = c + "(" + ed(this.params, ", ") + ")";
      return function(v, b, y) {
        var A = {};
        A[d] = function() {
          for (var x = Object.create(b), w = 0; w < f.length; w++)
            x[f[w]] = arguments[w];
          return s(v, x, y);
        };
        var h = r(c, A);
        return h.syntax = p, v.set(c, h), h;
      };
    }
    /**
     * Execute a callback for each of the child nodes of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(o) {
      o(this.expr, "expr", this);
    }
    /**
     * Create a new FunctionAssignmentNode whose children are the results of
     * calling the provided callback function for each child of the original
     * node.
     * @param {function(child: Node, path: string, parent: Node): Node} callback
     * @returns {FunctionAssignmentNode} Returns a transformed copy of the node
     */
    map(o) {
      var l = this._ifNode(o(this.expr, "expr", this));
      return new a(this.name, this.params.slice(0), l);
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {FunctionAssignmentNode}
     */
    clone() {
      return new a(this.name, this.params.slice(0), this.expr);
    }
    /**
     * get string representation
     * @param {Object} options
     * @return {string} str
     */
    _toString(o) {
      var l = o && o.parenthesis ? o.parenthesis : "keep", u = this.expr.toString(o);
      return n(this, l, o && o.implicit) && (u = "(" + u + ")"), this.name + "(" + this.params.join(", ") + ") = " + u;
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      var o = this.types;
      return {
        mathjs: Ao,
        name: this.name,
        params: this.params.map(function(l, u) {
          return {
            name: l,
            type: o[u]
          };
        }),
        expr: this.expr
      };
    }
    /**
     * Instantiate an FunctionAssignmentNode from its JSON representation
     * @param {Object} json
     *     An object structured like
     *     ```
     *     {"mathjs": "FunctionAssignmentNode",
     *      name: ..., params: ..., expr: ...}
     *     ```
     *     where mathjs is optional
     * @returns {FunctionAssignmentNode}
     */
    static fromJSON(o) {
      return new a(o.name, o.params, o.expr);
    }
    /**
     * get HTML representation
     * @param {Object} options
     * @return {string} str
     */
    _toHTML(o) {
      for (var l = o && o.parenthesis ? o.parenthesis : "keep", u = [], s = 0; s < this.params.length; s++)
        u.push('<span class="math-symbol math-parameter">' + Mt(this.params[s]) + "</span>");
      var c = this.expr.toHTML(o);
      return n(this, l, o && o.implicit) && (c = '<span class="math-parenthesis math-round-parenthesis">(</span>' + c + '<span class="math-parenthesis math-round-parenthesis">)</span>'), '<span class="math-function">' + Mt(this.name) + '</span><span class="math-parenthesis math-round-parenthesis">(</span>' + u.join('<span class="math-separator">,</span>') + '<span class="math-parenthesis math-round-parenthesis">)</span><span class="math-operator math-assignment-operator math-variable-assignment-operator math-binary-operator">=</span>' + c;
    }
    /**
     * get LaTeX representation
     * @param {Object} options
     * @return {string} str
     */
    _toTex(o) {
      var l = o && o.parenthesis ? o.parenthesis : "keep", u = this.expr.toTex(o);
      return n(this, l, o && o.implicit) && (u = "\\left(".concat(u, "\\right)")), "\\mathrm{" + this.name + "}\\left(" + this.params.map(Hy).join(",") + "\\right)=" + u;
    }
  }
  return Rr(a, "name", Ao), a;
}, {
  isClass: !0,
  isNode: !0
}), No = "IndexNode", p6 = ["Node", "size"], m6 = /* @__PURE__ */ P(No, p6, (e) => {
  var {
    Node: r,
    size: t
  } = e;
  class n extends r {
    /**
     * @constructor IndexNode
     * @extends Node
     *
     * Describes a subset of a matrix or an object property.
     * Cannot be used on its own, needs to be used within an AccessorNode or
     * AssignmentNode.
     *
     * @param {Node[]} dimensions
     * @param {boolean} [dotNotation=false]
     *     Optional property describing whether this index was written using dot
     *     notation like `a.b`, or using bracket notation like `a["b"]`
     *     (which is the default). This property is used for string conversion.
     */
    constructor(i, o) {
      if (super(), this.dimensions = i, this.dotNotation = o || !1, !Array.isArray(i) || !i.every(fr))
        throw new TypeError('Array containing Nodes expected for parameter "dimensions"');
      if (this.dotNotation && !this.isObjectProperty())
        throw new Error("dotNotation only applicable for object properties");
    }
    get type() {
      return No;
    }
    get isIndexNode() {
      return !0;
    }
    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(i, o) {
      var l = Wn(this.dimensions, function(s, c) {
        var f = s.filter((m) => m.isSymbolNode && m.name === "end").length > 0;
        if (f) {
          var d = Object.create(o);
          d.end = !0;
          var p = s._compile(i, d);
          return function(v, b, y) {
            if (!ze(y) && !cr(y) && !Vr(y))
              throw new TypeError('Cannot resolve "end": context must be a Matrix, Array, or string but is ' + yr(y));
            var A = t(y).valueOf(), h = Object.create(b);
            return h.end = A[c], p(v, h, y);
          };
        } else
          return s._compile(i, o);
      }), u = it(i, "index");
      return function(c, f, d) {
        var p = Wn(l, function(m) {
          return m(c, f, d);
        });
        return u(...p);
      };
    }
    /**
     * Execute a callback for each of the child nodes of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(i) {
      for (var o = 0; o < this.dimensions.length; o++)
        i(this.dimensions[o], "dimensions[" + o + "]", this);
    }
    /**
     * Create a new IndexNode whose children are the results of calling
     * the provided callback function for each child of the original node.
     * @param {function(child: Node, path: string, parent: Node): Node} callback
     * @returns {IndexNode} Returns a transformed copy of the node
     */
    map(i) {
      for (var o = [], l = 0; l < this.dimensions.length; l++)
        o[l] = this._ifNode(i(this.dimensions[l], "dimensions[" + l + "]", this));
      return new n(o, this.dotNotation);
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {IndexNode}
     */
    clone() {
      return new n(this.dimensions.slice(0), this.dotNotation);
    }
    /**
     * Test whether this IndexNode contains a single property name
     * @return {boolean}
     */
    isObjectProperty() {
      return this.dimensions.length === 1 && nr(this.dimensions[0]) && typeof this.dimensions[0].value == "string";
    }
    /**
     * Returns the property name if IndexNode contains a property.
     * If not, returns null.
     * @return {string | null}
     */
    getObjectProperty() {
      return this.isObjectProperty() ? this.dimensions[0].value : null;
    }
    /**
     * Get string representation
     * @param {Object} options
     * @return {string} str
     */
    _toString(i) {
      return this.dotNotation ? "." + this.getObjectProperty() : "[" + this.dimensions.join(", ") + "]";
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      return {
        mathjs: No,
        dimensions: this.dimensions,
        dotNotation: this.dotNotation
      };
    }
    /**
     * Instantiate an IndexNode from its JSON representation
     * @param {Object} json
     *     An object structured like
     *     `{"mathjs": "IndexNode", dimensions: [...], dotNotation: false}`,
     *     where mathjs is optional
     * @returns {IndexNode}
     */
    static fromJSON(i) {
      return new n(i.dimensions, i.dotNotation);
    }
    /**
     * Get HTML representation
     * @param {Object} options
     * @return {string} str
     */
    _toHTML(i) {
      for (var o = [], l = 0; l < this.dimensions.length; l++)
        o[l] = this.dimensions[l].toHTML();
      return this.dotNotation ? '<span class="math-operator math-accessor-operator">.</span><span class="math-symbol math-property">' + Mt(this.getObjectProperty()) + "</span>" : '<span class="math-parenthesis math-square-parenthesis">[</span>' + o.join('<span class="math-separator">,</span>') + '<span class="math-parenthesis math-square-parenthesis">]</span>';
    }
    /**
     * Get LaTeX representation
     * @param {Object} options
     * @return {string} str
     */
    _toTex(i) {
      var o = this.dimensions.map(function(l) {
        return l.toTex(i);
      });
      return this.dotNotation ? "." + this.getObjectProperty() : "_{" + o.join(",") + "}";
    }
  }
  return Rr(n, "name", No), n;
}, {
  isClass: !0,
  isNode: !0
}), Do = "ObjectNode", v6 = ["Node"], h6 = /* @__PURE__ */ P(Do, v6, (e) => {
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    Node: r
  } = e;
  class t extends r {
    /**
     * @constructor ObjectNode
     * @extends {Node}
     * Holds an object with keys/values
     * @param {Object.<string, Node>} [properties]   object with key/value pairs
     */
    constructor(a) {
      if (super(), this.properties = a || {}, a && (typeof a != "object" || !Object.keys(a).every(function(i) {
        return fr(a[i]);
      })))
        throw new TypeError("Object containing Nodes expected");
    }
    get type() {
      return Do;
    }
    get isObjectNode() {
      return !0;
    }
    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(a, i) {
      var o = {};
      for (var l in this.properties)
        if (Fe(this.properties, l)) {
          var u = za(l), s = JSON.parse(u), c = it(this.properties, l);
          o[s] = c._compile(a, i);
        }
      return function(d, p, m) {
        var v = {};
        for (var b in o)
          Fe(o, b) && (v[b] = o[b](d, p, m));
        return v;
      };
    }
    /**
     * Execute a callback for each of the child nodes of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(a) {
      for (var i in this.properties)
        Fe(this.properties, i) && a(this.properties[i], "properties[" + za(i) + "]", this);
    }
    /**
     * Create a new ObjectNode whose children are the results of calling
     * the provided callback function for each child of the original node.
     * @param {function(child: Node, path: string, parent: Node): Node} callback
     * @returns {ObjectNode} Returns a transformed copy of the node
     */
    map(a) {
      var i = {};
      for (var o in this.properties)
        Fe(this.properties, o) && (i[o] = this._ifNode(a(this.properties[o], "properties[" + za(o) + "]", this)));
      return new t(i);
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {ObjectNode}
     */
    clone() {
      var a = {};
      for (var i in this.properties)
        Fe(this.properties, i) && (a[i] = this.properties[i]);
      return new t(a);
    }
    /**
     * Get string representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
    _toString(a) {
      var i = [];
      for (var o in this.properties)
        Fe(this.properties, o) && i.push(za(o) + ": " + this.properties[o].toString(a));
      return "{" + i.join(", ") + "}";
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      return {
        mathjs: Do,
        properties: this.properties
      };
    }
    /**
     * Instantiate an OperatorNode from its JSON representation
     * @param {Object} json  An object structured like
     *                       `{"mathjs": "ObjectNode", "properties": {...}}`,
     *                       where mathjs is optional
     * @returns {ObjectNode}
     */
    static fromJSON(a) {
      return new t(a.properties);
    }
    /**
     * Get HTML representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
    _toHTML(a) {
      var i = [];
      for (var o in this.properties)
        Fe(this.properties, o) && i.push('<span class="math-symbol math-property">' + Mt(o) + '</span><span class="math-operator math-assignment-operator math-property-assignment-operator math-binary-operator">:</span>' + this.properties[o].toHTML(a));
      return '<span class="math-parenthesis math-curly-parenthesis">{</span>' + i.join('<span class="math-separator">,</span>') + '<span class="math-parenthesis math-curly-parenthesis">}</span>';
    }
    /**
     * Get LaTeX representation
     * @param {Object} options
     * @return {string} str
     */
    _toTex(a) {
      var i = [];
      for (var o in this.properties)
        Fe(this.properties, o) && i.push("\\mathbf{" + o + ":} & " + this.properties[o].toTex(a) + "\\\\");
      var l = "\\left\\{\\begin{array}{ll}" + i.join(`
`) + "\\end{array}\\right\\}";
      return l;
    }
  }
  return Rr(t, "name", Do), t;
}, {
  isClass: !0,
  isNode: !0
});
function Ei(e, r) {
  return new P0(e, new Cs(r), new Set(Object.keys(r)));
}
var Eo = "OperatorNode", g6 = ["Node"], y6 = /* @__PURE__ */ P(Eo, g6, (e) => {
  var {
    Node: r
  } = e;
  function t(i, o) {
    var l = i;
    if (o === "auto")
      for (; rn(l); ) l = l.content;
    return nr(l) ? !0 : _r(l) ? t(l.args[0], o) : !1;
  }
  function n(i, o, l, u, s) {
    var c = pr(i, o, l), f = Ni(i, o);
    if (o === "all" || u.length > 2 && i.getIdentifier() !== "OperatorNode:add" && i.getIdentifier() !== "OperatorNode:multiply")
      return u.map(function(S) {
        switch (S.getContent().type) {
          case "ArrayNode":
          case "ConstantNode":
          case "SymbolNode":
          case "ParenthesisNode":
            return !1;
          default:
            return !0;
        }
      });
    var d;
    switch (u.length) {
      case 0:
        d = [];
        break;
      case 1:
        {
          var p = pr(u[0], o, l, i);
          if (s && p !== null) {
            var m, v;
            if (o === "keep" ? (m = u[0].getIdentifier(), v = i.getIdentifier()) : (m = u[0].getContent().getIdentifier(), v = i.getContent().getIdentifier()), Pt[c][v].latexLeftParens === !1) {
              d = [!1];
              break;
            }
            if (Pt[p][m].latexParens === !1) {
              d = [!1];
              break;
            }
          }
          if (p === null) {
            d = [!1];
            break;
          }
          if (p <= c) {
            d = [!0];
            break;
          }
          d = [!1];
        }
        break;
      case 2:
        {
          var b, y = pr(u[0], o, l, i), A = vu(i, u[0], o);
          y === null ? b = !1 : y === c && f === "right" && !A || y < c ? b = !0 : b = !1;
          var h, x = pr(u[1], o, l, i), w = vu(i, u[1], o);
          if (x === null ? h = !1 : x === c && f === "left" && !w || x < c ? h = !0 : h = !1, s) {
            var g, D, E;
            o === "keep" ? (g = i.getIdentifier(), D = i.args[0].getIdentifier(), E = i.args[1].getIdentifier()) : (g = i.getContent().getIdentifier(), D = i.args[0].getContent().getIdentifier(), E = i.args[1].getContent().getIdentifier()), y !== null && (Pt[c][g].latexLeftParens === !1 && (b = !1), Pt[y][D].latexParens === !1 && (b = !1)), x !== null && (Pt[c][g].latexRightParens === !1 && (h = !1), Pt[x][E].latexParens === !1 && (h = !1));
          }
          d = [b, h];
        }
        break;
      default:
        (i.getIdentifier() === "OperatorNode:add" || i.getIdentifier() === "OperatorNode:multiply") && (d = u.map(function(S) {
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          return M === null ? !1 : c === M && f === $ && !F ? !0 : M < c;
        }));
        break;
    }
    if (u.length >= 2 && i.getIdentifier() === "OperatorNode:multiply" && i.implicit && o !== "all" && l === "hide")
      for (var N = 1; N < d.length; ++N)
        t(u[N], o) && !d[N - 1] && (o !== "keep" || !rn(u[N - 1])) && (d[N] = !0);
    return d;
  }
  class a extends r {
    /**
     * @constructor OperatorNode
     * @extends {Node}
     * An operator with two arguments, like 2+3
     *
     * @param {string} op           Operator name, for example '+'
     * @param {string} fn           Function name, for example 'add'
     * @param {Node[]} args         Operator arguments
     * @param {boolean} [implicit]  Is this an implicit multiplication?
     * @param {boolean} [isPercentage] Is this an percentage Operation?
     */
    constructor(o, l, u, s, c) {
      if (super(), typeof o != "string")
        throw new TypeError('string expected for parameter "op"');
      if (typeof l != "string")
        throw new TypeError('string expected for parameter "fn"');
      if (!Array.isArray(u) || !u.every(fr))
        throw new TypeError('Array containing Nodes expected for parameter "args"');
      this.implicit = s === !0, this.isPercentage = c === !0, this.op = o, this.fn = l, this.args = u || [];
    }
    get type() {
      return Eo;
    }
    get isOperatorNode() {
      return !0;
    }
    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(o, l) {
      if (typeof this.fn != "string" || !Il(o, this.fn))
        throw o[this.fn] ? new Error('No access to function "' + this.fn + '"') : new Error("Function " + this.fn + ' missing in provided namespace "math"');
      var u = it(o, this.fn), s = Wn(this.args, function(m) {
        return m._compile(o, l);
      });
      if (typeof u == "function" && u.rawArgs === !0) {
        var c = this.args;
        return function(v, b, y) {
          return u(c, o, Ei(v, b));
        };
      } else if (s.length === 1) {
        var f = s[0];
        return function(v, b, y) {
          return u(f(v, b, y));
        };
      } else if (s.length === 2) {
        var d = s[0], p = s[1];
        return function(v, b, y) {
          return u(d(v, b, y), p(v, b, y));
        };
      } else
        return function(v, b, y) {
          return u.apply(null, Wn(s, function(A) {
            return A(v, b, y);
          }));
        };
    }
    /**
     * Execute a callback for each of the child nodes of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(o) {
      for (var l = 0; l < this.args.length; l++)
        o(this.args[l], "args[" + l + "]", this);
    }
    /**
     * Create a new OperatorNode whose children are the results of calling
     * the provided callback function for each child of the original node.
     * @param {function(child: Node, path: string, parent: Node): Node} callback
     * @returns {OperatorNode} Returns a transformed copy of the node
     */
    map(o) {
      for (var l = [], u = 0; u < this.args.length; u++)
        l[u] = this._ifNode(o(this.args[u], "args[" + u + "]", this));
      return new a(this.op, this.fn, l, this.implicit, this.isPercentage);
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {OperatorNode}
     */
    clone() {
      return new a(this.op, this.fn, this.args.slice(0), this.implicit, this.isPercentage);
    }
    /**
     * Check whether this is an unary OperatorNode:
     * has exactly one argument, like `-a`.
     * @return {boolean}
     *     Returns true when an unary operator node, false otherwise.
     */
    isUnary() {
      return this.args.length === 1;
    }
    /**
     * Check whether this is a binary OperatorNode:
     * has exactly two arguments, like `a + b`.
     * @return {boolean}
     *     Returns true when a binary operator node, false otherwise.
     */
    isBinary() {
      return this.args.length === 2;
    }
    /**
     * Get string representation.
     * @param {Object} options
     * @return {string} str
     */
    _toString(o) {
      var l = o && o.parenthesis ? o.parenthesis : "keep", u = o && o.implicit ? o.implicit : "hide", s = this.args, c = n(this, l, u, s, !1);
      if (s.length === 1) {
        var f = Ni(this, l), d = s[0].toString(o);
        c[0] && (d = "(" + d + ")");
        var p = /[a-zA-Z]+/.test(this.op);
        return f === "right" ? this.op + (p ? " " : "") + d : f === "left" ? d + (p ? " " : "") + this.op : d + this.op;
      } else if (s.length === 2) {
        var m = s[0].toString(o), v = s[1].toString(o);
        return c[0] && (m = "(" + m + ")"), c[1] && (v = "(" + v + ")"), this.implicit && this.getIdentifier() === "OperatorNode:multiply" && u === "hide" ? m + " " + v : m + " " + this.op + " " + v;
      } else if (s.length > 2 && (this.getIdentifier() === "OperatorNode:add" || this.getIdentifier() === "OperatorNode:multiply")) {
        var b = s.map(function(y, A) {
          return y = y.toString(o), c[A] && (y = "(" + y + ")"), y;
        });
        return this.implicit && this.getIdentifier() === "OperatorNode:multiply" && u === "hide" ? b.join(" ") : b.join(" " + this.op + " ");
      } else
        return this.fn + "(" + this.args.join(", ") + ")";
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      return {
        mathjs: Eo,
        op: this.op,
        fn: this.fn,
        args: this.args,
        implicit: this.implicit,
        isPercentage: this.isPercentage
      };
    }
    /**
     * Instantiate an OperatorNode from its JSON representation
     * @param {Object} json
     *     An object structured like
     *     ```
     *     {"mathjs": "OperatorNode",
     *      "op": "+", "fn": "add", "args": [...],
     *      "implicit": false,
     *      "isPercentage":false}
     *     ```
     *     where mathjs is optional
     * @returns {OperatorNode}
     */
    static fromJSON(o) {
      return new a(o.op, o.fn, o.args, o.implicit, o.isPercentage);
    }
    /**
     * Get HTML representation.
     * @param {Object} options
     * @return {string} str
     */
    _toHTML(o) {
      var l = o && o.parenthesis ? o.parenthesis : "keep", u = o && o.implicit ? o.implicit : "hide", s = this.args, c = n(this, l, u, s, !1);
      if (s.length === 1) {
        var f = Ni(this, l), d = s[0].toHTML(o);
        return c[0] && (d = '<span class="math-parenthesis math-round-parenthesis">(</span>' + d + '<span class="math-parenthesis math-round-parenthesis">)</span>'), f === "right" ? '<span class="math-operator math-unary-operator math-lefthand-unary-operator">' + Mt(this.op) + "</span>" + d : d + '<span class="math-operator math-unary-operator math-righthand-unary-operator">' + Mt(this.op) + "</span>";
      } else if (s.length === 2) {
        var p = s[0].toHTML(o), m = s[1].toHTML(o);
        return c[0] && (p = '<span class="math-parenthesis math-round-parenthesis">(</span>' + p + '<span class="math-parenthesis math-round-parenthesis">)</span>'), c[1] && (m = '<span class="math-parenthesis math-round-parenthesis">(</span>' + m + '<span class="math-parenthesis math-round-parenthesis">)</span>'), this.implicit && this.getIdentifier() === "OperatorNode:multiply" && u === "hide" ? p + '<span class="math-operator math-binary-operator math-implicit-binary-operator"></span>' + m : p + '<span class="math-operator math-binary-operator math-explicit-binary-operator">' + Mt(this.op) + "</span>" + m;
      } else {
        var v = s.map(function(b, y) {
          return b = b.toHTML(o), c[y] && (b = '<span class="math-parenthesis math-round-parenthesis">(</span>' + b + '<span class="math-parenthesis math-round-parenthesis">)</span>'), b;
        });
        return s.length > 2 && (this.getIdentifier() === "OperatorNode:add" || this.getIdentifier() === "OperatorNode:multiply") ? this.implicit && this.getIdentifier() === "OperatorNode:multiply" && u === "hide" ? v.join('<span class="math-operator math-binary-operator math-implicit-binary-operator"></span>') : v.join('<span class="math-operator math-binary-operator math-explicit-binary-operator">' + Mt(this.op) + "</span>") : '<span class="math-function">' + Mt(this.fn) + '</span><span class="math-paranthesis math-round-parenthesis">(</span>' + v.join('<span class="math-separator">,</span>') + '<span class="math-paranthesis math-round-parenthesis">)</span>';
      }
    }
    /**
     * Get LaTeX representation
     * @param {Object} options
     * @return {string} str
     */
    _toTex(o) {
      var l = o && o.parenthesis ? o.parenthesis : "keep", u = o && o.implicit ? o.implicit : "hide", s = this.args, c = n(this, l, u, s, !0), f = or[this.fn];
      if (f = typeof f > "u" ? this.op : f, s.length === 1) {
        var d = Ni(this, l), p = s[0].toTex(o);
        return c[0] && (p = "\\left(".concat(p, "\\right)")), d === "right" ? f + p : p + f;
      } else if (s.length === 2) {
        var m = s[0], v = m.toTex(o);
        c[0] && (v = "\\left(".concat(v, "\\right)"));
        var b = s[1], y = b.toTex(o);
        c[1] && (y = "\\left(".concat(y, "\\right)"));
        var A;
        switch (l === "keep" ? A = m.getIdentifier() : A = m.getContent().getIdentifier(), this.getIdentifier()) {
          case "OperatorNode:divide":
            return f + "{" + v + "}{" + y + "}";
          case "OperatorNode:pow":
            switch (v = "{" + v + "}", y = "{" + y + "}", A) {
              case "ConditionalNode":
              case "OperatorNode:divide":
                v = "\\left(".concat(v, "\\right)");
            }
            break;
          case "OperatorNode:multiply":
            if (this.implicit && u === "hide")
              return v + "~" + y;
        }
        return v + f + y;
      } else if (s.length > 2 && (this.getIdentifier() === "OperatorNode:add" || this.getIdentifier() === "OperatorNode:multiply")) {
        var h = s.map(function(x, w) {
          return x = x.toTex(o), c[w] && (x = "\\left(".concat(x, "\\right)")), x;
        });
        return this.getIdentifier() === "OperatorNode:multiply" && this.implicit && u === "hide" ? h.join("~") : h.join(f);
      } else
        return "\\mathrm{" + this.fn + "}\\left(" + s.map(function(x) {
          return x.toTex(o);
        }).join(",") + "\\right)";
    }
    /**
     * Get identifier.
     * @return {string}
     */
    getIdentifier() {
      return this.type + ":" + this.fn;
    }
  }
  return Rr(a, "name", Eo), a;
}, {
  isClass: !0,
  isNode: !0
}), So = "ParenthesisNode", b6 = ["Node"], w6 = /* @__PURE__ */ P(So, b6, (e) => {
  var {
    Node: r
  } = e;
  class t extends r {
    /**
     * @constructor ParenthesisNode
     * @extends {Node}
     * A parenthesis node describes manual parenthesis from the user input
     * @param {Node} content
     * @extends {Node}
     */
    constructor(a) {
      if (super(), !fr(a))
        throw new TypeError('Node expected for parameter "content"');
      this.content = a;
    }
    get type() {
      return So;
    }
    get isParenthesisNode() {
      return !0;
    }
    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
     * @return {function} Returns a function which can be called like:
     *                        evalNode(scope: Object, args: Object, context: *)
     */
    _compile(a, i) {
      return this.content._compile(a, i);
    }
    /**
     * Get the content of the current Node.
     * @return {Node} content
     * @override
     **/
    getContent() {
      return this.content.getContent();
    }
    /**
     * Execute a callback for each of the child nodes of this node
     * @param {function(child: Node, path: string, parent: Node)} callback
     */
    forEach(a) {
      a(this.content, "content", this);
    }
    /**
     * Create a new ParenthesisNode whose child is the result of calling
     * the provided callback function on the child of this node.
     * @param {function(child: Node, path: string, parent: Node) : Node} callback
     * @returns {ParenthesisNode} Returns a clone of the node
     */
    map(a) {
      var i = a(this.content, "content", this);
      return new t(i);
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {ParenthesisNode}
     */
    clone() {
      return new t(this.content);
    }
    /**
     * Get string representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
    _toString(a) {
      return !a || a && !a.parenthesis || a && a.parenthesis === "keep" ? "(" + this.content.toString(a) + ")" : this.content.toString(a);
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      return {
        mathjs: So,
        content: this.content
      };
    }
    /**
     * Instantiate an ParenthesisNode from its JSON representation
     * @param {Object} json  An object structured like
     *                       `{"mathjs": "ParenthesisNode", "content": ...}`,
     *                       where mathjs is optional
     * @returns {ParenthesisNode}
     */
    static fromJSON(a) {
      return new t(a.content);
    }
    /**
     * Get HTML representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
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     * Get LaTeX representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
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}), Co = "RangeNode", x6 = ["Node"], A6 = /* @__PURE__ */ P(Co, x6, (e) => {
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     * @constructor RangeNode
     * @extends {Node}
     * create a range
     * @param {Node} start  included lower-bound
     * @param {Node} end    included upper-bound
     * @param {Node} [step] optional step
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     */
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    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
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     * @returns {RangeNode} Returns a transformed copy of the node
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    /**
     * Get string representation
     * @param {Object} options
     * @return {string} str
     */
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     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
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        mathjs: Co,
        start: this.start,
        end: this.end,
        step: this.step
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     * Instantiate an RangeNode from its JSON representation
     * @param {Object} json
     *     An object structured like
     *     `{"mathjs": "RangeNode", "start": ..., "end": ..., "step": ...}`,
     *     where mathjs is optional
     * @returns {RangeNode}
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     * Get HTML representation
     * @param {Object} options
     * @return {string} str
     */
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      var o = i && i.parenthesis ? i.parenthesis : "keep", l = t(this, o, i && i.implicit), u, s = this.start.toHTML(i);
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    /**
     * Get LaTeX representation
     * @params {Object} options
     * @return {string} str
     */
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     * @param {String[]} conditionals
     *     An array of conditional operators used to compare the parameters
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     *     The parameters that will be compared
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     * @extends {Node}
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    /**
     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
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     * @param {Object} options
     * @return {string} str
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    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
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        conditionals: this.conditionals,
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     * Instantiate a RelationalNode from its JSON representation
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     *     An object structured like
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     * @returns {RelationalNode}
     */
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     * Get HTML representation
     * @param {Object} options
     * @return {string} str
     */
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     * Get LaTeX representation
     * @param {Object} options
     * @return {string} str
     */
    _toTex(i) {
      for (var o = i && i.parenthesis ? i.parenthesis : "keep", l = pr(this, o, i && i.implicit), u = this.params.map(function(f, d) {
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     * Compile a node into a JavaScript function.
     * This basically pre-calculates as much as possible and only leaves open
     * calculations which depend on a dynamic scope with variables.
     * @param {Object} math     Math.js namespace with functions and constants.
     * @param {Object} argNames An object with argument names as key and `true`
     *                          as value. Used in the SymbolNode to optimize
     *                          for arguments from user assigned functions
     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
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     * Create a new SymbolNode with children produced by the given callback.
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     * @returns {SymbolNode} Returns a clone of the node
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    }
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     * Throws an error 'Undefined symbol {name}'
     * @param {string} name
     */
    static onUndefinedSymbol(l) {
      throw new Error("Undefined symbol " + l);
    }
    /**
     * Create a clone of this node, a shallow copy
     * @return {SymbolNode}
     */
    clone() {
      return new i(this.name);
    }
    /**
     * Get string representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
    _toString(l) {
      return this.name;
    }
    /**
     * Get HTML representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
    _toHTML(l) {
      var u = Mt(this.name);
      return u === "true" || u === "false" ? '<span class="math-symbol math-boolean">' + u + "</span>" : u === "i" ? '<span class="math-symbol math-imaginary-symbol">' + u + "</span>" : u === "Infinity" ? '<span class="math-symbol math-infinity-symbol">' + u + "</span>" : u === "NaN" ? '<span class="math-symbol math-nan-symbol">' + u + "</span>" : u === "null" ? '<span class="math-symbol math-null-symbol">' + u + "</span>" : u === "undefined" ? '<span class="math-symbol math-undefined-symbol">' + u + "</span>" : '<span class="math-symbol">' + u + "</span>";
    }
    /**
     * Get a JSON representation of the node
     * @returns {Object}
     */
    toJSON() {
      return {
        mathjs: "SymbolNode",
        name: this.name
      };
    }
    /**
     * Instantiate a SymbolNode from its JSON representation
     * @param {Object} json  An object structured like
     *                       `{"mathjs": "SymbolNode", name: "x"}`,
     *                       where mathjs is optional
     * @returns {SymbolNode}
     */
    static fromJSON(l) {
      return new i(l.name);
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    /**
     * Get LaTeX representation
     * @param {Object} options
     * @return {string} str
     * @override
     */
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      var u = !1;
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      return s[0] === "\\" ? s : " " + s;
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     * Compile a node into a JavaScript function.
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     * @param {Object} argNames An object with argument names as key and `true`
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     *                          (see FunctionAssignmentNode) or special symbols
     *                          like `end` (see IndexNode).
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          if (Q = A[ie], g[$ + Q] !== 0) {
            var De = g[$ + Q] - C;
            De > 0 ? (ge += De, A[te++] = Q, oe += Q) : (h[Q] = qn(X), g[$ + Q] = 0);
          }
        g[M + O] = te - j + 1;
        var k = te, J = j + g[D + O];
        for (ie = ee + 1; ie < J; ie++) {
          W = A[ie];
          var G = g[E + W];
          G <= 0 || (ge += G, A[te++] = W, oe += W);
        }
        ge === 0 ? (h[O] = qn(X), q = -g[E + O], ne -= q, H += q, _ += q, g[E + O] = 0, g[M + O] = -1) : (g[F + O] = Math.min(g[F + O], ge), A[te] = A[k], A[k] = A[j], A[j] = X, g[D + O] = te - j + 1, oe = (oe < 0 ? -oe : oe) % m, g[N + O] = g[I + oe], g[I + oe] = O, B[O] = oe);
      }
      for (g[F + X] = ne, v = Math.max(v, ne), C = l(C + v, v, g, $, m), Z = me; Z < pe; Z++)
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          for (oe = B[O], O = g[I + oe], g[I + oe] = -1; O !== -1 && g[N + O] !== -1; O = g[N + O], C++) {
            for (re = g[D + O], K = g[M + O], ie = h[O] + 1; ie <= h[O] + re - 1; ie++)
              g[$ + A[ie]] = C;
            var ae = O;
            for (W = g[N + O]; W !== -1; ) {
              var fe = g[D + W] === re && g[M + W] === K;
              for (ie = h[W] + 1; fe && ie <= h[W] + re - 1; ie++)
                g[$ + A[ie]] !== C && (fe = 0);
              fe ? (h[W] = qn(O), g[E + O] += g[E + W], g[E + W] = 0, g[M + W] = -1, W = g[N + W], g[N + ae] = W) : (ae = W, W = g[N + W]);
            }
          }
      for (ie = me, Z = me; Z < pe; Z++)
        O = A[Z], !((q = -g[E + O]) <= 0) && (g[E + O] = q, ge = g[F + O] + ne - q, ge = Math.min(ge, m - _ - q), g[S + ge] !== -1 && (B[g[S + ge]] = O), g[N + O] = g[S + ge], B[O] = -1, g[S + ge] = O, z = Math.min(z, ge), g[F + O] = ge, A[ie++] = O);
      g[E + X] = H, (g[D + X] = ie - me) === 0 && (h[X] = -1, g[$ + X] = 0), L !== 0 && (x = ie);
    }
    for (O = 0; O < m; O++)
      h[O] = qn(h[O]);
    for (W = 0; W <= m; W++)
      g[S + W] = -1;
    for (W = m; W >= 0; W--)
      g[E + W] > 0 || (g[N + W] = g[S + h[W]], g[S + h[W]] = W);
    for (Q = m; Q >= 0; Q--)
      g[E + Q] <= 0 || h[Q] !== -1 && (g[N + Q] = g[S + h[Q]], g[S + h[Q]] = Q);
    for (X = 0, O = 0; O <= m; O++)
      h[O] === -1 && (X = Zy(O, X, g, S, N, w, $));
    return w.splice(w.length - 1, 1), w;
  };
  function a(s, c, f, d, p) {
    var m = n(c);
    if (s === 1 && d === f)
      return r(c, m);
    if (s === 2) {
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        var h = b[A];
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          for (var x = b[A + 1]; h < x; h++)
            v[y++] = v[h];
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      return b[f] = y, c = n(m), t(m, c);
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    return t(m, c);
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  function i(s, c, f, d, p, m, v, b, y, A, h, x) {
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      f[d + w] = c[w + 1] - c[w];
    f[d + s] = 0;
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      f[p + g] = -1, m[g] = -1, f[v + g] = -1, f[b + g] = -1, f[y + g] = 1, f[A + g] = 1, f[h + g] = 0, f[x + g] = f[d + g];
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  function o(s, c, f, d, p, m, v, b, y, A, h) {
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        f[p + w] = -2, x++, c[w] = -1, f[m + w] = 0;
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        f[b + w] = 0, f[p + w] = -1, x++, c[w] = qn(s), f[b + s]++;
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        var D = f[y + g];
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      for (var m = 0; m < p; m++)
        f[d + m] !== 0 && (f[d + m] = 1);
      s = 2;
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    return s;
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  function u(s, c) {
    return s !== c;
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});
function X6(e, r, t, n, a, i, o) {
  var l, u, s = 0, c;
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    for (s = 2, c = f; c !== t[o + c]; c = t[o + c]) ;
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      u = t[o + l], t[o + l] = c;
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    jleaf: s,
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}
var Q6 = "csCounts", e$ = ["transpose"], r$ = /* @__PURE__ */ P(Q6, e$, (e) => {
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      y[f] = -1;
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      for (c = a[f], E[c] = y[w + c] === -1 ? 1 : 0; c !== -1 && y[w + c] === -1; c = n[c])
        y[w + c] = f;
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      for (f = 0; f < u; f++)
        y[a[f]] = f;
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        for (f = u, m = M[s], v = M[s + 1], p = m; p < v; p++)
          f = Math.min(f, y[S[p]]);
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      y[A + s] = s;
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        for (p = M[d]; p < M[d + 1]; p++) {
          s = S[p];
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}), t$ = "csSqr", n$ = ["add", "multiply", "transpose"], a$ = /* @__PURE__ */ P(t$, n$, (e) => {
  var {
    add: r,
    multiply: t,
    transpose: n
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    add: r,
    multiply: t,
    transpose: n
  }), i = r$({
    transpose: n
  });
  return function(u, s, c) {
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      var b = u ? Z6(s, null, v.q) : s;
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          v.unz += v.cp[m];
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      v.unz = 4 * f[p] + p, v.lnz = v.unz;
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  function o(l, u) {
    var s = l._ptr, c = l._index, f = l._size, d = f[0], p = f[1];
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      y[h + D] = -1, y[x + D] = -1, y[w + D] = 0;
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      b[g] = -1;
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      for (N = s[D], S = s[D + 1], E = N; E < S; E++)
        b[c[E]] = D;
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      v[g] = -1, D = b[g], D !== -1 && (y[w + D]++ === 0 && (y[x + D] = g), y[A + g] = y[h + D], y[h + D] = g);
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        u.lnz += y[w + D];
        var M = m[D];
        M !== -1 && (y[w + M] === 0 && (y[x + M] = y[x + D]), y[A + y[x + D]] = y[h + M], y[h + M] = y[A + g], y[w + M] += y[w + D]);
      }
    for (g = 0; g < d; g++)
      v[g] < 0 && (v[g] = D++);
    return !0;
  }
});
function rl(e, r) {
  return e[r] < 0;
}
function Gy(e, r) {
  e[r] = qn(e[r]);
}
function iv(e) {
  return e < 0 ? qn(e) : e;
}
function i$(e, r, t, n, a) {
  var i = r._index, o = r._ptr, l = r._size, u = l[1], s, c, f, d = 0;
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    e = n[d];
    var p = a ? a[e] : e;
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    var m = 1;
    for (c = n[u + d], f = p < 0 ? 0 : iv(o[p + 1]); c < f; c++)
      if (s = i[c], !rl(o, s)) {
        n[u + d] = c, n[++d] = s, m = 0;
        break;
      }
    m && (d--, n[--t] = e);
  }
  return t;
}
function o$(e, r, t, n, a) {
  var i = e._ptr, o = e._size, l = r._index, u = r._ptr, s = o[1], c, f, d, p = s;
  for (f = u[t], d = u[t + 1], c = f; c < d; c++) {
    var m = l[c];
    rl(i, m) || (p = i$(m, e, p, n, a));
  }
  for (c = p; c < s; c++)
    Gy(i, n[c]);
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}
var s$ = "csSpsolve", u$ = ["divideScalar", "multiply", "subtract"], l$ = /* @__PURE__ */ P(s$, u$, (e) => {
  var {
    divideScalar: r,
    multiply: t,
    subtract: n
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  return function(i, o, l, u, s, c, f) {
    var d = i._values, p = i._index, m = i._ptr, v = i._size, b = v[1], y = o._values, A = o._index, h = o._ptr, x, w, g, D, E = o$(i, o, l, u, c);
    for (x = E; x < b; x++)
      s[u[x]] = 0;
    for (w = h[l], g = h[l + 1], x = w; x < g; x++)
      s[A[x]] = y[x];
    for (var N = E; N < b; N++) {
      var S = u[N], M = c ? c[S] : S;
      if (!(M < 0))
        for (w = m[M], g = m[M + 1], s[S] = r(s[S], d[f ? w : g - 1]), x = f ? w + 1 : w, D = f ? g : g - 1; x < D; x++) {
          var F = p[x];
          s[F] = n(s[F], t(d[x], s[S]));
        }
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    return E;
  };
}), c$ = "csLu", f$ = ["abs", "divideScalar", "multiply", "subtract", "larger", "largerEq", "SparseMatrix"], d$ = /* @__PURE__ */ P(c$, f$, (e) => {
  var {
    abs: r,
    divideScalar: t,
    multiply: n,
    subtract: a,
    larger: i,
    largerEq: o,
    SparseMatrix: l
  } = e, u = l$({
    divideScalar: t,
    multiply: n,
    subtract: a
  });
  return function(c, f, d) {
    if (!c)
      return null;
    var p = c._size, m = p[1], v, b = 100, y = 100;
    f && (v = f.q, b = f.lnz || b, y = f.unz || y);
    var A = [], h = [], x = [], w = new l({
      values: A,
      index: h,
      ptr: x,
      size: [m, m]
    }), g = [], D = [], E = [], N = new l({
      values: g,
      index: D,
      ptr: E,
      size: [m, m]
    }), S = [], M, F, $ = [], I = [];
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      $[M] = 0, S[M] = -1, x[M + 1] = 0;
    b = 0, y = 0;
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      x[B] = b, E[B] = y;
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        if (M = I[F], S[M] < 0) {
          var W = r($[M]);
          i(W, O) && (O = W, z = M);
        } else
          D[y] = S[M], g[y++] = $[M];
      if (z === -1 || O <= 0)
        return null;
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      var X = $[z];
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        M = I[F], S[M] < 0 && (h[b] = M, A[b++] = t($[M], X)), $[M] = 0;
    }
    for (x[m] = b, E[m] = y, F = 0; F < b; F++)
      h[F] = S[h[F]];
    return A.splice(b, A.length - b), h.splice(b, h.length - b), g.splice(y, g.length - y), D.splice(y, D.length - y), {
      L: w,
      U: N,
      pinv: S
    };
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}), ov = "slu", p$ = ["typed", "abs", "add", "multiply", "transpose", "divideScalar", "subtract", "larger", "largerEq", "SparseMatrix"], m$ = /* @__PURE__ */ P(ov, p$, (e) => {
  var {
    typed: r,
    abs: t,
    add: n,
    multiply: a,
    transpose: i,
    divideScalar: o,
    subtract: l,
    larger: u,
    largerEq: s,
    SparseMatrix: c
  } = e, f = a$({
    add: n,
    multiply: a,
    transpose: i
  }), d = d$({
    abs: t,
    divideScalar: o,
    multiply: a,
    subtract: l,
    larger: u,
    largerEq: s,
    SparseMatrix: c
  });
  return r(ov, {
    "SparseMatrix, number, number": function(m, v, b) {
      if (!Oe(v) || v < 0 || v > 3)
        throw new Error("Symbolic Ordering and Analysis order must be an integer number in the interval [0, 3]");
      if (b < 0 || b > 1)
        throw new Error("Partial pivoting threshold must be a number from 0 to 1");
      var y = f(v, m, !1), A = d(m, y, b);
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        L: A.L,
        U: A.U,
        p: A.pinv,
        q: y.q,
        toString: function() {
          return "L: " + this.L.toString() + `
U: ` + this.U.toString() + `
p: ` + this.p.toString() + (this.q ? `
q: ` + this.q.toString() : "") + `
`;
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      };
    }
  });
});
function sv(e, r) {
  var t, n = r.length, a = [];
  if (e)
    for (t = 0; t < n; t++)
      a[e[t]] = r[t];
  else
    for (t = 0; t < n; t++)
      a[t] = r[t];
  return a;
}
var uv = "lusolve", v$ = ["typed", "matrix", "lup", "slu", "usolve", "lsolve", "DenseMatrix"], h$ = /* @__PURE__ */ P(uv, v$, (e) => {
  var {
    typed: r,
    matrix: t,
    lup: n,
    slu: a,
    usolve: i,
    lsolve: o,
    DenseMatrix: l
  } = e, u = Ji({
    DenseMatrix: l
  });
  return r(uv, {
    "Array, Array | Matrix": function(d, p) {
      d = t(d);
      var m = n(d), v = c(m.L, m.U, m.p, null, p);
      return v.valueOf();
    },
    "DenseMatrix, Array | Matrix": function(d, p) {
      var m = n(d);
      return c(m.L, m.U, m.p, null, p);
    },
    "SparseMatrix, Array | Matrix": function(d, p) {
      var m = n(d);
      return c(m.L, m.U, m.p, null, p);
    },
    "SparseMatrix, Array | Matrix, number, number": function(d, p, m, v) {
      var b = a(d, m, v);
      return c(b.L, b.U, b.p, b.q, p);
    },
    "Object, Array | Matrix": function(d, p) {
      return c(d.L, d.U, d.p, d.q, p);
    }
  });
  function s(f) {
    if (ze(f))
      return f;
    if (cr(f))
      return t(f);
    throw new TypeError("Invalid Matrix LU decomposition");
  }
  function c(f, d, p, m, v) {
    f = s(f), d = s(d), p && (v = u(f, v, !0), v._data = sv(p, v._data));
    var b = o(f, v), y = i(d, b);
    return m && (y._data = sv(m, y._data)), y;
  }
}), lv = "polynomialRoot", g$ = ["typed", "isZero", "equalScalar", "add", "subtract", "multiply", "divide", "sqrt", "unaryMinus", "cbrt", "typeOf", "im", "re"], y$ = /* @__PURE__ */ P(lv, g$, (e) => {
  var {
    typed: r,
    isZero: t,
    equalScalar: n,
    add: a,
    subtract: i,
    multiply: o,
    divide: l,
    sqrt: u,
    unaryMinus: s,
    cbrt: c,
    typeOf: f,
    im: d,
    re: p
  } = e;
  return r(lv, {
    "number|Complex, ...number|Complex": (m, v) => {
      for (var b = [m, ...v]; b.length > 0 && t(b[b.length - 1]); )
        b.pop();
      if (b.length < 2)
        throw new RangeError("Polynomial [".concat(m, ", ").concat(v, "] must have a non-zero non-constant coefficient"));
      switch (b.length) {
        case 2:
          return [s(l(b[0], b[1]))];
        case 3: {
          var [y, A, h] = b, x = o(2, h), w = o(A, A), g = o(4, h, y);
          if (n(w, g)) return [l(s(A), x)];
          var D = u(i(w, g));
          return [l(i(D, A), x), l(i(s(D), A), x)];
        }
        case 4: {
          var [E, N, S, M] = b, F = s(o(3, M)), $ = o(S, S), I = o(3, M, N), B = a(o(2, S, S, S), o(27, M, M, E)), C = o(9, M, S, N);
          if (n($, I) && n(B, C))
            return [l(S, F)];
          var _ = i($, I), z = i(B, C), O = a(o(18, M, S, N, E), o(S, S, N, N)), W = a(o(4, S, S, S, E), o(4, M, N, N, N), o(27, M, M, E, E));
          if (n(O, W))
            return [
              l(i(o(4, M, S, N), a(o(9, M, M, E), o(S, S, S))), o(M, _)),
              // simple root
              l(i(o(9, M, E), o(S, N)), o(2, _))
              // double root
            ];
          var X;
          n($, I) ? X = z : X = l(a(z, u(i(o(z, z), o(4, _, _, _)))), 2);
          var V = !0, R = c(X, V).toArray().map((Q) => l(a(S, Q, l(_, Q)), F));
          return R.map((Q) => f(Q) === "Complex" && n(p(Q), p(Q) + d(Q)) ? p(Q) : Q);
        }
        default:
          throw new RangeError("only implemented for cubic or lower-order polynomials, not ".concat(b));
      }
    }
  });
}), b$ = "Help", w$ = ["evaluate"], x$ = /* @__PURE__ */ P(b$, w$, (e) => {
  var {
    evaluate: r
  } = e;
  function t(n) {
    if (!(this instanceof t))
      throw new SyntaxError("Constructor must be called with the new operator");
    if (!n) throw new Error('Argument "doc" missing');
    this.doc = n;
  }
  return t.prototype.type = "Help", t.prototype.isHelp = !0, t.prototype.toString = function() {
    var n = this.doc || {}, a = `
`;
    if (n.name && (a += "Name: " + n.name + `

`), n.category && (a += "Category: " + n.category + `

`), n.description && (a += `Description:
    ` + n.description + `

`), n.syntax && (a += `Syntax:
    ` + n.syntax.join(`
    `) + `

`), n.examples) {
      a += `Examples:
`;
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}, {
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  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"]
}, E$ = {
  name: "false",
  category: "Constants",
  syntax: ["false"],
  description: "Boolean value false",
  examples: ["false"],
  seealso: ["true"]
}, S$ = {
  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: []
}, C$ = {
  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: []
}, M$ = {
  name: "LN10",
  category: "Constants",
  syntax: ["LN10"],
  description: "Returns the natural logarithm of 10, approximately equal to 2.302",
  examples: ["LN10", "log(10)"],
  seealso: []
}, _$ = {
  name: "LN2",
  category: "Constants",
  syntax: ["LN2"],
  description: "Returns the natural logarithm of 2, approximately equal to 0.693",
  examples: ["LN2", "log(2)"],
  seealso: []
}, F$ = {
  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: []
}, T$ = {
  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: []
}, O$ = {
  name: "NaN",
  category: "Constants",
  syntax: ["NaN"],
  description: "Not a number",
  examples: ["NaN", "0 / 0"],
  seealso: []
}, B$ = {
  name: "null",
  category: "Constants",
  syntax: ["null"],
  description: "Value null",
  examples: ["null"],
  seealso: ["true", "false"]
}, $$ = {
  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: []
}, fv = {
  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"]
}, I$ = {
  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: []
}, R$ = {
  name: "SQRT2",
  category: "Constants",
  syntax: ["SQRT2"],
  description: "Returns the square root of 2, approximately equal to 1.414",
  examples: ["SQRT2", "sqrt(2)"],
  seealso: []
}, P$ = {
  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"]
}, z$ = {
  name: "true",
  category: "Constants",
  syntax: ["true"],
  description: "Boolean value true",
  examples: ["true"],
  seealso: ["false"]
}, q$ = {
  name: "version",
  category: "Constants",
  syntax: ["version"],
  description: "A string with the version number of math.js",
  examples: ["version"],
  seealso: []
}, L$ = {
  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", "bigint", "complex", "fraction", "index", "matrix", "string", "unit"]
}, U$ = {
  name: "bigint",
  category: "Construction",
  syntax: ["bigint(x)"],
  description: "Create a bigint, an integer with an arbitrary number of digits, from a number or string.",
  examples: ["123123123123123123 # a large number will lose digits", 'bigint("123123123123123123")', 'bignumber(["1", "3", "5"])'],
  seealso: ["boolean", "bignumber", "number", "complex", "fraction", "index", "matrix", "string", "unit"]
}, k$ = {
  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"]
}, V$ = {
  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"]
}, H$ = {
  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"]
}, Z$ = {
  name: "fraction",
  category: "Construction",
  syntax: ["fraction(num)", "fraction(matrix)", "fraction(num,den)", "fraction({n: num, d: den})"],
  description: "Create a fraction from a number or from integer numerator and denominator.",
  examples: ["fraction(0.125)", "fraction(1, 3) + fraction(2, 5)", "fraction({n: 333, d: 53})", "fraction([sqrt(9), sqrt(10), sqrt(11)])"],
  seealso: ["bignumber", "boolean", "complex", "index", "matrix", "string", "unit"]
}, G$ = {
  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: ["A = [1, 2, 3; 4, 5, 6]", "A[1, :]", "A[1, 2] = 50", "A[1:2, 1:2] = 1", "B = [1, 2, 3]", "B[B>1 and B<3]"],
  seealso: ["bignumber", "boolean", "complex", "matrix,", "number", "range", "string", "unit"]
}, W$ = {
  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"]
}, K$ = {
  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", "bigint", "boolean", "complex", "fraction", "index", "matrix", "string", "unit"]
}, J$ = {
  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"]
}, Y$ = {
  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"]
}, j$ = {
  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"]
}, X$ = {
  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"]
}, Q$ = {
  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: []
}, e9 = {
  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: []
}, r9 = {
  name: "typed",
  category: "Core",
  syntax: ["typed(signatures)", "typed(name, signatures)"],
  description: "Create a typed function.",
  examples: ['double = typed({ "number": f(x)=x+x, "string": f(x)=concat(x,x) })', "double(2)", 'double("hello")'],
  seealso: []
}, t9 = {
  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"]
}, n9 = {
  name: "leafCount",
  category: "Algebra",
  syntax: ["leafCount(expr)"],
  description: "Computes the number of leaves in the parse tree of the given expression",
  examples: ['leafCount("e^(i*pi)-1")', 'leafCount(parse("{a: 22/7, b: 10^(1/2)}"))'],
  seealso: ["simplify"]
}, a9 = {
  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"]
}, i9 = {
  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"]
}, o9 = {
  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"]
}, s9 = {
  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"]
}, u9 = {
  name: "polynomialRoot",
  category: "Algebra",
  syntax: ["x=polynomialRoot(-6, 3)", "x=polynomialRoot(4, -4, 1)", "x=polynomialRoot(-8, 12, -6, 1)"],
  description: "Finds the roots of a univariate polynomial given by its coefficients starting from constant, linear, and so on, increasing in degree.",
  examples: ["a = polynomialRoot(-6, 11, -6, 1)"],
  seealso: ["cbrt", "sqrt"]
}, l9 = {
  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"]
}, c9 = {
  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"]
}, f9 = {
  name: "resolve",
  category: "Algebra",
  syntax: ["resolve(node, scope)"],
  description: "Recursively substitute variables in an expression tree.",
  examples: ['resolve(parse("1 + x"), { x: 7 })', 'resolve(parse("size(text)"), { text: "Hello World" })', 'resolve(parse("x + y"), { x: parse("3z") })', 'resolve(parse("3x"), { x: parse("y+z"), z: parse("w^y") })'],
  seealso: ["simplify", "evaluate"],
  mayThrow: ["ReferenceError"]
}, d9 = {
  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: ["simplifyCore", "derivative", "evaluate", "parse", "rationalize", "resolve"]
}, p9 = {
  name: "simplifyConstant",
  category: "Algebra",
  syntax: ["simplifyConstant(expr)", "simplifyConstant(expr, options)"],
  description: "Replace constant subexpressions of node with their values.",
  examples: ['simplifyConstant("(3-3)*x")', 'simplifyConstant(parse("z-cos(tau/8)"))'],
  seealso: ["simplify", "simplifyCore", "evaluate"]
}, m9 = {
  name: "simplifyCore",
  category: "Algebra",
  syntax: ["simplifyCore(node)"],
  description: "Perform simple one-pass simplifications on an expression tree.",
  examples: ['simplifyCore(parse("0*x"))', 'simplifyCore(parse("(x+0)*2"))'],
  seealso: ["simplify", "simplifyConstant", "evaluate"]
}, v9 = {
  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"]
}, h9 = {
  name: "symbolicEqual",
  category: "Algebra",
  syntax: ["symbolicEqual(expr1, expr2)", "symbolicEqual(expr1, expr2, options)"],
  description: "Returns true if the difference of the expressions simplifies to 0",
  examples: ['symbolicEqual("x*y","y*x")', 'symbolicEqual("abs(x^2)", "x^2")', 'symbolicEqual("abs(x)", "x", {context: {abs: {trivial: true}}})'],
  seealso: ["simplify", "evaluate"]
}, g9 = {
  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"]
}, y9 = {
  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"]
}, b9 = {
  name: "abs",
  category: "Arithmetic",
  syntax: ["abs(x)"],
  description: "Compute the absolute value.",
  examples: ["abs(3.5)", "abs(-4.2)"],
  seealso: ["sign"]
}, w9 = {
  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"]
}, x9 = {
  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"]
}, A9 = {
  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"]
}, N9 = {
  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"]
}, D9 = {
  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"]
}, E9 = {
  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"]
}, S9 = {
  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"]
}, C9 = {
  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"]
}, M9 = {
  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"]
}, _9 = {
  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"]
}, F9 = {
  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"]
}, T9 = {
  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"]
}, O9 = {
  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"]
}, B9 = {
  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"]
}, $9 = {
  name: "hypot",
  category: "Arithmetic",
  syntax: ["hypot(a, b, c, ...)", "hypot([a, b, c, ...])"],
  description: "Calculate the hypotenuse of a list with values.",
  examples: ["hypot(3, 4)", "sqrt(3^2 + 4^2)", "hypot(-2)", "hypot([3, 4, 5])"],
  seealso: ["abs", "norm"]
}, I9 = {
  name: "invmod",
  category: "Arithmetic",
  syntax: ["invmod(a, b)"],
  description: "Calculate the (modular) multiplicative inverse of a modulo b. Solution to the equation ax ≣ 1 (mod b)",
  examples: ["invmod(8, 12)", "invmod(7, 13)", "invmod(15151, 15122)"],
  seealso: ["gcd", "xgcd"]
}, R9 = {
  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"]
}, P9 = {
  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"]
}, z9 = {
  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"]
}, q9 = {
  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"]
}, L9 = {
  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"]
}, U9 = {
  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"]
}, k9 = {
  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"]
}, V9 = {
  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")']
}, H9 = {
  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"]
}, Z9 = {
  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"]
}, G9 = {
  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)", "pow([[1, 2], [4, 3]], 2)", "pow([[1, 2], [4, 3]], -1)"],
  seealso: ["multiply", "nthRoot", "nthRoots", "sqrt"]
}, W9 = {
  name: "round",
  category: "Arithmetic",
  syntax: ["round(x)", "round(x, n)", "round(unit, valuelessUnit)", "round(unit, n, valuelessUnit)"],
  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)", "round(3.241cm, 2, cm)", "round([3.2, 3.8, -4.7])"],
  seealso: ["ceil", "floor", "fix"]
}, K9 = {
  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"]
}, J9 = {
  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"]
}, Y9 = {
  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([[33, 24], [48, 57]])"],
  seealso: ["sqrt", "abs", "square", "multiply"]
}, j9 = {
  name: "sylvester",
  category: "Algebra",
  syntax: ["sylvester(A,B,C)"],
  description: "Solves the real-valued Sylvester equation AX+XB=C for X",
  examples: ["sylvester([[-1, -2], [1, 1]], [[-2, 1], [-1, 2]], [[-3, 2], [3, 0]])", "A = [[-1, -2], [1, 1]]; B = [[2, -1], [1, -2]]; C = [[-3, 2], [3, 0]]", "sylvester(A, B, C)"],
  seealso: ["schur", "lyap"]
}, X9 = {
  name: "schur",
  category: "Algebra",
  syntax: ["schur(A)"],
  description: "Performs a real Schur decomposition of the real matrix A = UTU'",
  examples: ["schur([[1, 0], [-4, 3]])", "A = [[1, 0], [-4, 3]]", "schur(A)"],
  seealso: ["lyap", "sylvester"]
}, Q9 = {
  name: "lyap",
  category: "Algebra",
  syntax: ["lyap(A,Q)"],
  description: "Solves the Continuous-time Lyapunov equation AP+PA'+Q=0 for P",
  examples: ["lyap([[-2, 0], [1, -4]], [[3, 1], [1, 3]])", "A = [[-2, 0], [1, -4]]", "Q = [[3, 1], [1, 3]]", "lyap(A,Q)"],
  seealso: ["schur", "sylvester"]
}, eI = {
  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"]
}, rI = {
  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"]
}, tI = {
  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"]
}, nI = {
  name: "unaryPlus",
  category: "Operators",
  syntax: ["+x", "unaryPlus(x)"],
  description: "Converts booleans and strings to numbers.",
  examples: ["+true", '+"2"'],
  seealso: ["add", "subtract", "unaryMinus"]
}, aI = {
  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"]
}, iI = {
  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"]
}, oI = {
  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"]
}, sI = {
  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"]
}, uI = {
  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"]
}, lI = {
  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"]
}, cI = {
  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"]
}, fI = {
  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"]
}, dI = {
  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"]
}, pI = {
  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"]
}, mI = {
  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"]
}, vI = {
  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"]
}, hI = {
  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"]
}, gI = {
  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"]
}, yI = {
  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"]
}, bI = {
  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"]
}, wI = {
  name: "evaluate",
  category: "Expression",
  syntax: ["evaluate(expression)", "evaluate(expression, scope)", "evaluate([expr1, expr2, expr3, ...])", "evaluate([expr1, expr2, expr3, ...], scope)"],
  description: "Evaluate an expression or an array with expressions.",
  examples: ['evaluate("2 + 3")', 'evaluate("sqrt(16)")', 'evaluate("2 inch to cm")', 'evaluate("sin(x * pi)", { "x": 1/2 })', 'evaluate(["width=2", "height=4","width*height"])'],
  seealso: []
}, xI = {
  name: "help",
  category: "Expression",
  syntax: ["help(object)", "help(string)"],
  description: "Display documentation on a function or data type.",
  examples: ["help(sqrt)", 'help("complex")'],
  seealso: []
}, AI = {
  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: []
}, NI = {
  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: []
}, DI = {
  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"]
}, EI = {
  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"]
}, SI = {
  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"]
}, CI = {
  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"]
}, MI = {
  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", "matrixFromColumns"]
}, _I = {
  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"]
}, FI = {
  name: "count",
  category: "Matrix",
  syntax: ["count(x)"],
  description: "Count the number of elements of a matrix, array or string.",
  examples: ["a = [1, 2; 3, 4; 5, 6]", "count(a)", "size(a)", 'count("hello world")'],
  seealso: ["size"]
}, TI = {
  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"]
}, OI = {
  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"]
}, BI = {
  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"]
}, $I = {
  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"]
}, II = {
  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 indicate 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: ["A = [1, 2, 4, 7, 0]", "diff(A)", "diff(A, 1)", "B = [[1, 2], [3, 4]]", "diff(B)", "diff(B, 1)", "diff(B, 2)", "diff(B, bignumber(2))", "diff([[1, 2], matrix([3, 4])], 2)"],
  seealso: ["subtract", "partitionSelect"]
}, RI = {
  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"]
}, PI = {
  name: "eigs",
  category: "Matrix",
  syntax: ["eigs(x)"],
  description: "Calculate the eigenvalues and optionally eigenvectors of a square matrix",
  examples: ["eigs([[5, 2.3], [2.3, 1]])", "eigs([[1, 2, 3], [4, 5, 6], [7, 8, 9]], { precision: 1e-6, eigenvectors: false })"],
  seealso: ["inv"]
}, zI = {
  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"]
}, qI = {
  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"]
}, LI = {
  name: "forEach",
  category: "Matrix",
  syntax: ["forEach(x, callback)"],
  description: "Iterates over all elements of a matrix/array, and executes the given callback function.",
  examples: ["numberOfPets = {}", "addPet(n) = numberOfPets[n] = (numberOfPets[n] ? numberOfPets[n]:0 ) + 1;", 'forEach(["Dog","Cat","Cat"], addPet)', "numberOfPets"],
  seealso: ["map", "sort", "filter"]
}, UI = {
  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"]
}, kI = {
  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"]
}, VI = {
  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"]
}, HI = {
  name: "pinv",
  category: "Matrix",
  syntax: ["pinv(x)"],
  description: "Calculate the Moore–Penrose inverse of a matrix",
  examples: ["pinv([1, 2; 3, 4])", "pinv([[1, 0], [0, 1], [0, 1]])", "pinv(4)"],
  seealso: ["inv"]
}, ZI = {
  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"]
}, GI = {
  name: "map",
  category: "Matrix",
  syntax: ["map(x, callback)", "map(x, y, ..., callback)"],
  description: "Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array or the matrices/arrays.",
  examples: ["map([1, 2, 3], square)", "map([1, 2], [3, 4], f(a,b) = a + b)"],
  seealso: ["filter", "forEach"]
}, WI = {
  name: "matrixFromColumns",
  category: "Matrix",
  syntax: ["matrixFromColumns(...arr)", "matrixFromColumns(row1, row2)", "matrixFromColumns(row1, row2, row3)"],
  description: "Create a dense matrix from vectors as individual columns.",
  examples: ["matrixFromColumns([1, 2, 3], [[4],[5],[6]])"],
  seealso: ["matrix", "matrixFromRows", "matrixFromFunction", "zeros"]
}, KI = {
  name: "matrixFromFunction",
  category: "Matrix",
  syntax: ["matrixFromFunction(size, fn)", "matrixFromFunction(size, fn, format)", "matrixFromFunction(size, fn, format, datatype)", "matrixFromFunction(size, format, fn)", "matrixFromFunction(size, format, datatype, fn)"],
  description: "Create a matrix by evaluating a generating function at each index.",
  examples: ["f(I) = I[1] - I[2]", "matrixFromFunction([3,3], f)", "g(I) = I[1] - I[2] == 1 ? 4 : 0", 'matrixFromFunction([100, 100], "sparse", g)', "matrixFromFunction([5], random)"],
  seealso: ["matrix", "matrixFromRows", "matrixFromColumns", "zeros"]
}, JI = {
  name: "matrixFromRows",
  category: "Matrix",
  syntax: ["matrixFromRows(...arr)", "matrixFromRows(row1, row2)", "matrixFromRows(row1, row2, row3)"],
  description: "Create a dense matrix from vectors as individual rows.",
  examples: ["matrixFromRows([1, 2, 3], [[4],[5],[6]])"],
  seealso: ["matrix", "matrixFromColumns", "matrixFromFunction", "zeros"]
}, YI = {
  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"]
}, jI = {
  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, compareText)', "arr = [5, 2, 1]", "partitionSelect(arr, 0) # returns 1, arr is now: [1, 2, 5]", "arr", "partitionSelect(arr, 1, 'desc') # returns 2, arr is now: [5, 2, 1]", "arr"],
  seealso: ["sort"]
}, XI = {
  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")', "range(1m, 1m, 3m)", "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"]
}, QI = {
  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])", "reshape([1, 2, 3, 4], [-1, 2])"],
  seealso: ["size", "squeeze", "resize"]
}, eR = {
  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"]
}, rR = {
  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], 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"]
}, tR = {
  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"]
}, nR = {
  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", "matrixFromRows"]
}, aR = {
  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", "count", "det", "diag", "identity", "inv", "ones", "range", "squeeze", "subset", "trace", "transpose", "zeros"]
}, iR = {
  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"], "natural")', "sortByLength(a, b) = size(a)[1] - size(b)[1]", 'sort(["Langdon", "Tom", "Sara"], sortByLength)', 'sort(["10", "1", "2"], "natural")'],
  seealso: ["map", "filter", "forEach"]
}, oR = {
  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"]
}, sR = {
  name: "subset",
  category: "Matrix",
  syntax: ["value(index)", "value(index) = replacement", "subset(value, [index])", "subset(value, [index], replacement)"],
  description: "Get or set a subset of the entries of a matrix or characters of a string. Indexes are one-based. There should be one index specification for each dimension of the target. Each specification can be a single index, a list of indices, or a range in colon notation `l:u`. In a range, both the lower bound l and upper bound u are included; and if a bound is omitted it defaults to the most extreme valid value. The cartesian product of the indices specified in each dimension determines the target of the operation.",
  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]", "f[[1,2], [1,3]] = [9, 10; 11, 12]", "f"],
  seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "trace", "transpose", "zeros"]
}, uR = {
  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"]
}, lR = {
  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"]
}, cR = {
  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"]
}, fR = {
  name: "fft",
  category: "Matrix",
  syntax: ["fft(x)"],
  description: "Calculate N-dimensional Fourier transform",
  examples: ["fft([[1, 0], [1, 0]])"],
  seealso: ["ifft"]
}, dR = {
  name: "ifft",
  category: "Matrix",
  syntax: ["ifft(x)"],
  description: "Calculate N-dimensional inverse Fourier transform",
  examples: ["ifft([[2, 2], [0, 0]])"],
  seealso: ["fft"]
}, pR = {
  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"]
}, mR = {
  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"]
}, vR = {
  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"]
}, hR = {
  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"]
}, gR = {
  name: "lgamma",
  category: "Probability",
  syntax: ["lgamma(n)"],
  description: "Logarithm of the gamma function for real, positive numbers and complex numbers, using Lanczos approximation for numbers and Stirling series for complex numbers.",
  examples: ["lgamma(4)", "lgamma(1/2)", "lgamma(i)", "lgamma(complex(1.1, 2))"],
  seealso: ["gamma"]
}, yR = {
  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: []
}, bR = {
  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"]
}, wR = {
  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"]
}, xR = {
  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"]
}, AR = {
  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"]
}, NR = {
  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"]
}, DR = {
  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"]
}, ER = {
  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"]
}, SR = {
  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"]
}, CR = {
  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"]
}, MR = {
  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"]
}, _R = {
  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"]
}, FR = {
  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"]
}, TR = {
  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"]
}, OR = {
  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"]
}, BR = {
  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"]
}, $R = {
  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"]
}, IR = {
  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 and the values will be sorted in ascending order before the operation.",
  examples: ["setCartesian([1, 2], [3, 4])"],
  seealso: ["setUnion", "setIntersect", "setDifference", "setPowerset"]
}, RR = {
  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"]
}, PR = {
  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"]
}, zR = {
  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"]
}, qR = {
  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"]
}, LR = {
  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"]
}, UR = {
  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"]
}, kR = {
  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"]
}, VR = {
  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"]
}, HR = {
  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"]
}, ZR = {
  name: "zpk2tf",
  category: "Signal",
  syntax: ["zpk2tf(z, p, k)"],
  description: "Compute the transfer function of a zero-pole-gain model.",
  examples: ["zpk2tf([1, 2], [-1, -2], 1)", "zpk2tf([1, 2], [-1, -2])", "zpk2tf([1 - 3i, 2 + 2i], [-1, -2])"],
  seealso: []
}, GR = {
  name: "freqz",
  category: "Signal",
  syntax: ["freqz(b, a)", "freqz(b, a, w)"],
  description: "Calculates the frequency response of a filter given its numerator and denominator coefficients.",
  examples: ["freqz([1, 2], [1, 2, 3])", "freqz([1, 2], [1, 2, 3], [0, 1])", "freqz([1, 2], [1, 2, 3], 512)"],
  seealso: []
}, WR = {
  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: []
}, KR = {
  name: "zeta",
  category: "Special",
  syntax: ["zeta(s)"],
  description: "Compute the Riemann Zeta Function using an infinite series and Riemann's Functional Equation for the entire complex plane",
  examples: ["zeta(0.2)", "zeta(-0.5)", "zeta(4)"],
  seealso: []
}, JR = {
  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"]
}, YR = {
  name: "max",
  category: "Statistics",
  syntax: ["max(a, b, c, ...)", "max(A)", "max(A, dimension)"],
  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"]
}, jR = {
  name: "mean",
  category: "Statistics",
  syntax: ["mean(a, b, c, ...)", "mean(A)", "mean(A, dimension)"],
  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"]
}, XR = {
  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"]
}, QR = {
  name: "min",
  category: "Statistics",
  syntax: ["min(a, b, c, ...)", "min(A)", "min(A, dimension)"],
  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"]
}, eP = {
  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"]
}, rP = {
  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"]
}, tP = {
  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 probability are: Number, BigNumber. 

In 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"]
}, nP = {
  name: "std",
  category: "Statistics",
  syntax: ["std(a, b, c, ...)", "std(A)", "std(A, dimension)", "std(A, normalization)", "std(A, dimension, 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"]
}, aP = {
  name: "cumsum",
  category: "Statistics",
  syntax: ["cumsum(a, b, c, ...)", "cumsum(A)"],
  description: "Compute the cumulative sum of all values.",
  examples: ["cumsum(2, 3, 4, 1)", "cumsum([2, 3, 4, 1])", "cumsum([1, 2; 3, 4])", "cumsum([1, 2; 3, 4], 1)", "cumsum([1, 2; 3, 4], 2)"],
  seealso: ["max", "mean", "median", "min", "prod", "std", "sum", "variance"]
}, iP = {
  name: "sum",
  category: "Statistics",
  syntax: ["sum(a, b, c, ...)", "sum(A)", "sum(A, dimension)"],
  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"]
}, oP = {
  name: "variance",
  category: "Statistics",
  syntax: ["variance(a, b, c, ...)", "variance(A)", "variance(A, dimension)", "variance(A, normalization)", "variance(A, dimension, 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"]
}, sP = {
  name: "corr",
  category: "Statistics",
  syntax: ["corr(A,B)"],
  description: "Compute the correlation coefficient of a two list with values, For matrices, the matrix correlation coefficient is calculated.",
  examples: ["corr([2, 4, 6, 8],[1, 2, 3, 6])", "corr(matrix([[1, 2.2, 3, 4.8, 5], [1, 2, 3, 4, 5]]), matrix([[4, 5.3, 6.6, 7, 8], [1, 2, 3, 4, 5]]))"],
  seealso: ["max", "mean", "min", "median", "min", "prod", "std", "sum"]
}, uP = {
  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"]
}, lP = {
  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"]
}, cP = {
  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"]
}, fP = {
  name: "acoth",
  category: "Trigonometry",
  syntax: ["acoth(x)"],
  description: "Calculate the inverse hyperbolic tangent 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"]
}, dP = {
  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"]
}, pP = {
  name: "acsch",
  category: "Trigonometry",
  syntax: ["acsch(x)"],
  description: "Calculate the inverse hyperbolic cosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.",
  examples: ["acsch(0.5)"],
  seealso: ["asech", "acoth"]
}, mP = {
  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"]
}, vP = {
  name: "asech",
  category: "Trigonometry",
  syntax: ["asech(x)"],
  description: "Calculate the inverse secant of a value.",
  examples: ["asech(0.5)"],
  seealso: ["acsch", "acoth"]
}, hP = {
  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"]
}, gP = {
  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"]
}, yP = {
  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"]
}, bP = {
  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"]
}, wP = {
  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"]
}, xP = {
  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"]
}, AP = {
  name: "cosh",
  category: "Trigonometry",
  syntax: ["cosh(x)"],
  description: "Compute the hyperbolic cosine of x in radians.",
  examples: ["cosh(0.5)"],
  seealso: ["sinh", "tanh", "coth"]
}, NP = {
  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"]
}, DP = {
  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"]
}, EP = {
  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"]
}, SP = {
  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"]
}, CP = {
  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"]
}, MP = {
  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"]
}, _P = {
  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"]
}, FP = {
  name: "sinh",
  category: "Trigonometry",
  syntax: ["sinh(x)"],
  description: "Compute the hyperbolic sine of x in radians.",
  examples: ["sinh(0.5)"],
  seealso: ["cosh", "tanh"]
}, TP = {
  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"]
}, OP = {
  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"]
}, BP = {
  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: []
}, $P = {
  name: "bin",
  category: "Utils",
  syntax: ["bin(value)"],
  description: "Format a number as binary",
  examples: ["bin(2)"],
  seealso: ["oct", "hex"]
}, IP = {
  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: []
}, RP = {
  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"]
}, PP = {
  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"]
}, zP = {
  name: "hex",
  category: "Utils",
  syntax: ["hex(value)"],
  description: "Format a number as hexadecimal",
  examples: ["hex(240)"],
  seealso: ["bin", "oct"]
}, qP = {
  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"]
}, LP = {
  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"]
}, UP = {
  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"]
}, kP = {
  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"]
}, VP = {
  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"]
}, HP = {
  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"]
}, ZP = {
  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"]
}, GP = {
  name: "numeric",
  category: "Utils",
  syntax: ["numeric(x)"],
  description: "Convert a numeric input to a specific numeric type: number, BigNumber, bigint, or Fraction.",
  examples: ['numeric("4")', 'numeric("4", "number")', 'numeric("4", "bigint")', 'numeric("4", "BigNumber")', 'numeric("4", "Fraction")', 'numeric(4, "Fraction")', 'numeric(fraction(2, 5), "number")'],
  seealso: ["number", "bigint", "fraction", "bignumber", "string", "format"]
}, WP = {
  name: "oct",
  category: "Utils",
  syntax: ["oct(value)"],
  description: "Format a number as octal",
  examples: ["oct(56)"],
  seealso: ["bin", "hex"]
}, KP = {
  name: "print",
  category: "Utils",
  syntax: ["print(template, values)", "print(template, values, precision)"],
  description: "Interpolate values into a string template.",
  examples: ['print("Lucy is $age years old", {age: 5})', 'print("The value of pi is $pi", {pi: pi}, 3)', 'print("Hello, $user.name!", {user: {name: "John"}})', 'print("Values: $1, $2, $3", [6, 9, 4])'],
  seealso: ["format"]
}, JP = {
  name: "typeOf",
  category: "Utils",
  syntax: ["typeOf(x)"],
  description: "Get the type of a variable.",
  examples: ["typeOf(3.5)", "typeOf(2 - 4i)", "typeOf(45 deg)", 'typeOf("hello world")'],
  seealso: ["getMatrixDataType"]
}, YP = {
  name: "solveODE",
  category: "Numeric",
  syntax: ["solveODE(func, tspan, y0)", "solveODE(func, tspan, y0, options)"],
  description: "Numerical Integration of Ordinary Differential Equations.",
  examples: ["f(t,y) = y", "tspan = [0, 4]", "solveODE(f, tspan, 1)", "solveODE(f, tspan, [1, 2])", 'solveODE(f, tspan, 1, { method:"RK23", maxStep:0.1 })'],
  seealso: ["derivative", "simplifyCore"]
}, jP = {
  // construction functions
  bignumber: L$,
  bigint: U$,
  boolean: k$,
  complex: V$,
  createUnit: H$,
  fraction: Z$,
  index: G$,
  matrix: W$,
  number: K$,
  sparse: J$,
  splitUnit: Y$,
  string: j$,
  unit: X$,
  // constants
  e: cv,
  E: cv,
  false: E$,
  i: S$,
  Infinity: C$,
  LN2: _$,
  LN10: M$,
  LOG2E: T$,
  LOG10E: F$,
  NaN: O$,
  null: B$,
  pi: fv,
  PI: fv,
  phi: $$,
  SQRT1_2: I$,
  SQRT2: R$,
  tau: P$,
  true: z$,
  version: q$,
  // physical constants
  // TODO: more detailed docs for physical constants
  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: "Bohr magneton",
    examples: ["bohrMagneton"]
  },
  conductanceQuantum: {
    description: "Conductance quantum",
    examples: ["conductanceQuantum"]
  },
  inverseConductanceQuantum: {
    description: "Inverse conductance quantum",
    examples: ["inverseConductanceQuantum"]
  },
  // josephson: {description: 'Josephson constant', examples: ['josephson']},
  magneticFluxQuantum: {
    description: "Magnetic flux quantum",
    examples: ["magneticFluxQuantum"]
  },
  nuclearMagneton: {
    description: "Nuclear magneton",
    examples: ["nuclearMagneton"]
  },
  klitzing: {
    description: "Von Klitzing constant",
    examples: ["klitzing"]
  },
  bohrRadius: {
    description: "Bohr 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"]
  },
  // spectralRadiance: {description: 'First radiation constant for spectral radiance', examples: ['spectralRadiance']},
  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"]
  },
  // functions - algebra
  derivative: t9,
  lsolve: a9,
  lsolveAll: i9,
  lup: o9,
  lusolve: s9,
  leafCount: n9,
  polynomialRoot: u9,
  resolve: f9,
  simplify: d9,
  simplifyConstant: p9,
  simplifyCore: m9,
  symbolicEqual: h9,
  rationalize: c9,
  slu: v9,
  usolve: g9,
  usolveAll: y9,
  qr: l9,
  // functions - arithmetic
  abs: b9,
  add: w9,
  cbrt: x9,
  ceil: A9,
  cube: N9,
  divide: D9,
  dotDivide: E9,
  dotMultiply: S9,
  dotPow: C9,
  exp: M9,
  expm: _9,
  expm1: F9,
  fix: T9,
  floor: O9,
  gcd: B9,
  hypot: $9,
  lcm: R9,
  log: P9,
  log2: L9,
  log1p: q9,
  log10: z9,
  mod: U9,
  multiply: k9,
  norm: V9,
  nthRoot: H9,
  nthRoots: Z9,
  pow: G9,
  round: W9,
  sign: K9,
  sqrt: J9,
  sqrtm: Y9,
  square: eI,
  subtract: rI,
  unaryMinus: tI,
  unaryPlus: nI,
  xgcd: aI,
  invmod: I9,
  // functions - bitwise
  bitAnd: iI,
  bitNot: oI,
  bitOr: sI,
  bitXor: uI,
  leftShift: lI,
  rightArithShift: cI,
  rightLogShift: fI,
  // functions - combinatorics
  bellNumbers: dI,
  catalan: pI,
  composition: mI,
  stirlingS2: vI,
  // functions - core
  config: Q$,
  import: e9,
  typed: r9,
  // functions - complex
  arg: hI,
  conj: gI,
  re: bI,
  im: yI,
  // functions - expression
  evaluate: wI,
  help: xI,
  // functions - geometry
  distance: AI,
  intersect: NI,
  // functions - logical
  and: DI,
  not: EI,
  or: SI,
  xor: CI,
  // functions - matrix
  concat: _I,
  count: FI,
  cross: TI,
  column: MI,
  ctranspose: OI,
  det: BI,
  diag: $I,
  diff: II,
  dot: RI,
  getMatrixDataType: UI,
  identity: kI,
  filter: zI,
  flatten: qI,
  forEach: LI,
  inv: VI,
  pinv: HI,
  eigs: PI,
  kron: ZI,
  matrixFromFunction: KI,
  matrixFromRows: JI,
  matrixFromColumns: WI,
  map: GI,
  ones: YI,
  partitionSelect: jI,
  range: XI,
  resize: eR,
  reshape: QI,
  rotate: rR,
  rotationMatrix: tR,
  row: nR,
  size: aR,
  sort: iR,
  squeeze: oR,
  subset: sR,
  trace: uR,
  transpose: lR,
  zeros: cR,
  fft: fR,
  ifft: dR,
  sylvester: j9,
  schur: X9,
  lyap: Q9,
  // functions - numeric
  solveODE: YP,
  // functions - probability
  combinations: pR,
  combinationsWithRep: mR,
  // distribution: distributionDocs,
  factorial: vR,
  gamma: hR,
  kldivergence: yR,
  lgamma: gR,
  multinomial: bR,
  permutations: wR,
  pickRandom: xR,
  random: AR,
  randomInt: NR,
  // functions - relational
  compare: DR,
  compareNatural: ER,
  compareText: SR,
  deepEqual: CR,
  equal: MR,
  equalText: _R,
  larger: FR,
  largerEq: TR,
  smaller: OR,
  smallerEq: BR,
  unequal: $R,
  // functions - set
  setCartesian: IR,
  setDifference: RR,
  setDistinct: PR,
  setIntersect: zR,
  setIsSubset: qR,
  setMultiplicity: LR,
  setPowerset: UR,
  setSize: kR,
  setSymDifference: VR,
  setUnion: HR,
  // functions - signal
  zpk2tf: ZR,
  freqz: GR,
  // functions - special
  erf: WR,
  zeta: KR,
  // functions - statistics
  cumsum: aP,
  mad: JR,
  max: YR,
  mean: jR,
  median: XR,
  min: QR,
  mode: eP,
  prod: rP,
  quantileSeq: tP,
  std: nP,
  sum: iP,
  variance: oP,
  corr: sP,
  // functions - trigonometry
  acos: uP,
  acosh: lP,
  acot: cP,
  acoth: fP,
  acsc: dP,
  acsch: pP,
  asec: mP,
  asech: vP,
  asin: hP,
  asinh: gP,
  atan: yP,
  atanh: wP,
  atan2: bP,
  cos: xP,
  cosh: AP,
  cot: NP,
  coth: DP,
  csc: EP,
  csch: SP,
  sec: CP,
  sech: MP,
  sin: _P,
  sinh: FP,
  tan: TP,
  tanh: OP,
  // functions - units
  to: BP,
  // functions - utils
  clone: IP,
  format: RP,
  bin: $P,
  oct: WP,
  hex: zP,
  isNaN: LP,
  isInteger: qP,
  isNegative: UP,
  isNumeric: kP,
  hasNumericValue: PP,
  isPositive: VP,
  isPrime: HP,
  isZero: ZP,
  print: KP,
  typeOf: JP,
  numeric: GP
}, dv = "help", XP = ["typed", "mathWithTransform", "Help"], QP = /* @__PURE__ */ P(dv, XP, (e) => {
  var {
    typed: r,
    mathWithTransform: t,
    Help: n
  } = e;
  return r(dv, {
    any: function(i) {
      var o, l = i;
      if (typeof i != "string") {
        for (o in t)
          if (Fe(t, o) && i === t[o]) {
            l = o;
            break;
          }
      }
      var u = it(jP, l);
      if (!u) {
        var s = typeof l == "function" ? l.name : l;
        throw new Error('No documentation found on "' + s + '"');
      }
      return new n(u);
    }
  });
}), pv = "chain", e7 = ["typed", "Chain"], r7 = /* @__PURE__ */ P(pv, e7, (e) => {
  var {
    typed: r,
    Chain: t
  } = e;
  return r(pv, {
    "": function() {
      return new t();
    },
    any: function(a) {
      return new t(a);
    }
  });
}), mv = "det", t7 = ["typed", "matrix", "subtractScalar", "multiply", "divideScalar", "isZero", "unaryMinus"], n7 = /* @__PURE__ */ P(mv, t7, (e) => {
  var {
    typed: r,
    matrix: t,
    subtractScalar: n,
    multiply: a,
    divideScalar: i,
    isZero: o,
    unaryMinus: l
  } = e;
  return r(mv, {
    any: function(c) {
      return qe(c);
    },
    "Array | Matrix": function(c) {
      var f;
      switch (ze(c) ? f = c.size() : Array.isArray(c) ? (c = t(c), f = c.size()) : f = [], f.length) {
        case 0:
          return qe(c);
        case 1:
          if (f[0] === 1)
            return qe(c.valueOf()[0]);
          if (f[0] === 0)
            return 1;
          throw new RangeError("Matrix must be square (size: " + Qe(f) + ")");
        case 2: {
          var d = f[0], p = f[1];
          if (d === p)
            return u(c.clone().valueOf(), d);
          if (p === 0)
            return 1;
          throw new RangeError("Matrix must be square (size: " + Qe(f) + ")");
        }
        default:
          throw new RangeError("Matrix must be two dimensional (size: " + Qe(f) + ")");
      }
    }
  });
  function u(s, c, f) {
    if (c === 1)
      return qe(s[0][0]);
    if (c === 2)
      return n(a(s[0][0], s[1][1]), a(s[1][0], s[0][1]));
    for (var d = !1, p = new Array(c).fill(0).map((D, E) => E), m = 0; m < c; m++) {
      var v = p[m];
      if (o(s[v][m])) {
        var b = void 0;
        for (b = m + 1; b < c; b++)
          if (!o(s[p[b]][m])) {
            v = p[b], p[b] = p[m], p[m] = v, d = !d;
            break;
          }
        if (b === c) return s[v][m];
      }
      for (var y = s[v][m], A = m === 0 ? 1 : s[p[m - 1]][m - 1], h = m + 1; h < c; h++)
        for (var x = p[h], w = m + 1; w < c; w++)
          s[x][w] = i(n(a(s[x][w], y), a(s[x][m], s[v][w])), A);
    }
    var g = s[p[c - 1]][c - 1];
    return d ? l(g) : g;
  }
}), vv = "inv", a7 = ["typed", "matrix", "divideScalar", "addScalar", "multiply", "unaryMinus", "det", "identity", "abs"], i7 = /* @__PURE__ */ P(vv, a7, (e) => {
  var {
    typed: r,
    matrix: t,
    divideScalar: n,
    addScalar: a,
    multiply: i,
    unaryMinus: o,
    det: l,
    identity: u,
    abs: s
  } = e;
  return r(vv, {
    "Array | Matrix": function(d) {
      var p = ze(d) ? d.size() : ke(d);
      switch (p.length) {
        case 1:
          if (p[0] === 1)
            return ze(d) ? t([n(1, d.valueOf()[0])]) : [n(1, d[0])];
          throw new RangeError("Matrix must be square (size: " + Qe(p) + ")");
        case 2: {
          var m = p[0], v = p[1];
          if (m === v)
            return ze(d) ? t(c(d.valueOf(), m, v), d.storage()) : c(d, m, v);
          throw new RangeError("Matrix must be square (size: " + Qe(p) + ")");
        }
        default:
          throw new RangeError("Matrix must be two dimensional (size: " + Qe(p) + ")");
      }
    },
    any: function(d) {
      return n(1, d);
    }
  });
  function c(f, d, p) {
    var m, v, b, y, A;
    if (d === 1) {
      if (y = f[0][0], y === 0)
        throw Error("Cannot calculate inverse, determinant is zero");
      return [[n(1, y)]];
    } else if (d === 2) {
      var h = l(f);
      if (h === 0)
        throw Error("Cannot calculate inverse, determinant is zero");
      return [[n(f[1][1], h), n(o(f[0][1]), h)], [n(o(f[1][0]), h), n(f[0][0], h)]];
    } else {
      var x = f.concat();
      for (m = 0; m < d; m++)
        x[m] = x[m].concat();
      for (var w = u(d).valueOf(), g = 0; g < p; g++) {
        var D = s(x[g][g]), E = g;
        for (m = g + 1; m < d; )
          s(x[m][g]) > D && (D = s(x[m][g]), E = m), m++;
        if (D === 0)
          throw Error("Cannot calculate inverse, determinant is zero");
        m = E, m !== g && (A = x[g], x[g] = x[m], x[m] = A, A = w[g], w[g] = w[m], w[m] = A);
        var N = x[g], S = w[g];
        for (m = 0; m < d; m++) {
          var M = x[m], F = w[m];
          if (m !== g) {
            if (M[g] !== 0) {
              for (b = n(o(M[g]), N[g]), v = g; v < p; v++)
                M[v] = a(M[v], i(b, N[v]));
              for (v = 0; v < p; v++)
                F[v] = a(F[v], i(b, S[v]));
            }
          } else {
            for (b = N[g], v = g; v < p; v++)
              M[v] = n(M[v], b);
            for (v = 0; v < p; v++)
              F[v] = n(F[v], b);
          }
        }
      }
      return w;
    }
  }
}), hv = "pinv", o7 = ["typed", "matrix", "inv", "deepEqual", "equal", "dotDivide", "dot", "ctranspose", "divideScalar", "multiply", "add", "Complex"], s7 = /* @__PURE__ */ P(hv, o7, (e) => {
  var {
    typed: r,
    matrix: t,
    inv: n,
    deepEqual: a,
    equal: i,
    dotDivide: o,
    dot: l,
    ctranspose: u,
    divideScalar: s,
    multiply: c,
    add: f,
    Complex: d
  } = e;
  return r(hv, {
    "Array | Matrix": function(h) {
      var x = ze(h) ? h.size() : ke(h);
      switch (x.length) {
        case 1:
          return y(h) ? u(h) : x[0] === 1 ? n(h) : o(u(h), l(h, h));
        case 2: {
          if (y(h)) return u(h);
          var w = x[0], g = x[1];
          if (w === g)
            try {
              return n(h);
            } catch (D) {
              if (!(D instanceof Error && D.message.match(/Cannot calculate inverse, determinant is zero/))) throw D;
            }
          return ze(h) ? t(p(h.valueOf(), w, g), h.storage()) : p(h, w, g);
        }
        default:
          throw new RangeError("Matrix must be two dimensional (size: " + Qe(x) + ")");
      }
    },
    any: function(h) {
      return i(h, 0) ? qe(h) : s(1, h);
    }
  });
  function p(A, h, x) {
    var {
      C: w,
      F: g
    } = v(A, h, x), D = c(n(c(u(w), w)), u(w)), E = c(u(g), n(c(g, u(g))));
    return c(E, D);
  }
  function m(A, h, x) {
    for (var w = qe(A), g = 0, D = 0; D < h; D++) {
      if (x <= g)
        return w;
      for (var E = D; b(w[E][g]); )
        if (E++, h === E && (E = D, g++, x === g))
          return w;
      [w[E], w[D]] = [w[D], w[E]];
      for (var N = w[D][g], S = 0; S < x; S++)
        w[D][S] = o(w[D][S], N);
      for (var M = 0; M < h; M++)
        if (M !== D) {
          N = w[M][g];
          for (var F = 0; F < x; F++)
            w[M][F] = f(w[M][F], c(-1, c(N, w[D][F])));
        }
      g++;
    }
    return w;
  }
  function v(A, h, x) {
    var w = m(A, h, x), g = A.map((E, N) => E.filter((S, M) => M < h && !b(l(w[M], w[M])))), D = w.filter((E, N) => !b(l(w[N], w[N])));
    return {
      C: g,
      F: D
    };
  }
  function b(A) {
    return i(f(A, d(1, 1)), f(0, d(1, 1)));
  }
  function y(A) {
    return a(f(A, d(1, 1)), f(c(A, 0), d(1, 1)));
  }
});
function u7(e) {
  var {
    addScalar: r,
    subtract: t,
    flatten: n,
    multiply: a,
    multiplyScalar: i,
    divideScalar: o,
    sqrt: l,
    abs: u,
    bignumber: s,
    diag: c,
    size: f,
    reshape: d,
    inv: p,
    qr: m,
    usolve: v,
    usolveAll: b,
    equal: y,
    complex: A,
    larger: h,
    smaller: x,
    matrixFromColumns: w,
    dot: g
  } = e;
  function D(V, R, Q, se) {
    var re = arguments.length > 4 && arguments[4] !== void 0 ? arguments[4] : !0, q = E(V, R, Q, se, re);
    N(V, R, Q, se, re, q);
    var {
      values: Z,
      C: K
    } = S(V, R, Q, se, re);
    if (re) {
      var j = M(V, R, K, q, Z, Q, se);
      return {
        values: Z,
        eigenvectors: j
      };
    }
    return {
      values: Z
    };
  }
  function E(V, R, Q, se, re) {
    var q = se === "BigNumber", Z = se === "Complex", K = q ? s(0) : 0, j = q ? s(1) : Z ? A(1) : 1, ee = q ? s(1) : 1, te = q ? s(10) : 2, oe = i(te, te), ge;
    re && (ge = Array(R).fill(j));
    for (var L = !1; !L; ) {
      L = !0;
      for (var H = 0; H < R; H++) {
        for (var ne = K, ie = K, me = 0; me < R; me++)
          H !== me && (ne = r(ne, u(V[me][H])), ie = r(ie, u(V[H][me])));
        if (!y(ne, 0) && !y(ie, 0)) {
          for (var pe = ee, xe = ne, De = o(ie, te), k = i(ie, te); x(xe, De); )
            xe = i(xe, oe), pe = i(pe, te);
          for (; h(xe, k); )
            xe = o(xe, oe), pe = o(pe, te);
          var J = x(o(r(xe, ie), pe), i(r(ne, ie), 0.95));
          if (J) {
            L = !1;
            for (var G = o(1, pe), ae = 0; ae < R; ae++)
              H !== ae && (V[H][ae] = i(V[H][ae], G), V[ae][H] = i(V[ae][H], pe));
            re && (ge[H] = i(ge[H], G));
          }
        }
      }
    }
    return re ? c(ge) : null;
  }
  function N(V, R, Q, se, re, q) {
    var Z = se === "BigNumber", K = se === "Complex", j = Z ? s(0) : K ? A(0) : 0;
    Z && (Q = s(Q));
    for (var ee = 0; ee < R - 2; ee++) {
      for (var te = 0, oe = j, ge = ee + 1; ge < R; ge++) {
        var L = V[ge][ee];
        x(u(oe), u(L)) && (oe = L, te = ge);
      }
      if (!x(u(oe), Q)) {
        if (te !== ee + 1) {
          var H = V[te];
          V[te] = V[ee + 1], V[ee + 1] = H;
          for (var ne = 0; ne < R; ne++) {
            var ie = V[ne][te];
            V[ne][te] = V[ne][ee + 1], V[ne][ee + 1] = ie;
          }
          if (re) {
            var me = q[te];
            q[te] = q[ee + 1], q[ee + 1] = me;
          }
        }
        for (var pe = ee + 2; pe < R; pe++) {
          var xe = o(V[pe][ee], oe);
          if (xe !== 0) {
            for (var De = 0; De < R; De++)
              V[pe][De] = t(V[pe][De], i(xe, V[ee + 1][De]));
            for (var k = 0; k < R; k++)
              V[k][ee + 1] = r(V[k][ee + 1], i(xe, V[k][pe]));
            if (re)
              for (var J = 0; J < R; J++)
                q[pe][J] = t(q[pe][J], i(xe, q[ee + 1][J]));
          }
        }
      }
    }
    return q;
  }
  function S(V, R, Q, se, re) {
    var q = se === "BigNumber", Z = se === "Complex", K = q ? s(1) : Z ? A(1) : 1;
    q && (Q = s(Q));
    for (var j = qe(V), ee = [], te = R, oe = [], ge = re ? c(Array(R).fill(K)) : void 0, L = re ? c(Array(te).fill(K)) : void 0, H = 0; H <= 100; ) {
      H += 1;
      for (var ne = j[te - 1][te - 1], ie = 0; ie < te; ie++)
        j[ie][ie] = t(j[ie][ie], ne);
      var {
        Q: me,
        R: pe
      } = m(j);
      j = a(pe, me);
      for (var xe = 0; xe < te; xe++)
        j[xe][xe] = r(j[xe][xe], ne);
      if (re && (L = a(L, me)), te === 1 || x(u(j[te - 1][te - 2]), Q)) {
        H = 0, ee.push(j[te - 1][te - 1]), re && (oe.unshift([[1]]), I(L, R), ge = a(ge, L), te > 1 && (L = c(Array(te - 1).fill(K)))), te -= 1, j.pop();
        for (var De = 0; De < te; De++)
          j[De].pop();
      } else if (te === 2 || x(u(j[te - 2][te - 3]), Q)) {
        H = 0;
        var k = F(j[te - 2][te - 2], j[te - 2][te - 1], j[te - 1][te - 2], j[te - 1][te - 1]);
        ee.push(...k), re && (oe.unshift($(j[te - 2][te - 2], j[te - 2][te - 1], j[te - 1][te - 2], j[te - 1][te - 1], k[0], k[1], Q, se)), I(L, R), ge = a(ge, L), te > 2 && (L = c(Array(te - 2).fill(K)))), te -= 2, j.pop(), j.pop();
        for (var J = 0; J < te; J++)
          j[J].pop(), j[J].pop();
      }
      if (te === 0)
        break;
    }
    if (ee.sort((fe, de) => +t(u(fe), u(de))), H > 100) {
      var G = Error("The eigenvalues failed to converge. Only found these eigenvalues: " + ee.join(", "));
      throw G.values = ee, G.vectors = [], G;
    }
    var ae = re ? a(ge, B(oe, R)) : void 0;
    return {
      values: ee,
      C: ae
    };
  }
  function M(V, R, Q, se, re, q, Z) {
    var K = p(Q), j = a(K, V, Q), ee = Z === "BigNumber", te = Z === "Complex", oe = ee ? s(0) : te ? A(0) : 0, ge = ee ? s(1) : te ? A(1) : 1, L = [], H = [];
    for (var ne of re) {
      var ie = C(L, ne, y);
      ie === -1 ? (L.push(ne), H.push(1)) : H[ie] += 1;
    }
    for (var me = [], pe = L.length, xe = Array(R).fill(oe), De = c(Array(R).fill(ge)), k = function() {
      var ae = L[J], fe = t(j, a(ae, De)), de = b(fe, xe);
      for (de.shift(); de.length < H[J]; ) {
        var Ne = _(fe, R, de, q, Z);
        if (Ne === null)
          break;
        de.push(Ne);
      }
      var we = a(p(se), Q);
      de = de.map((Ee) => a(we, Ee)), me.push(...de.map((Ee) => ({
        value: ae,
        vector: n(Ee)
      })));
    }, J = 0; J < pe; J++)
      k();
    return me;
  }
  function F(V, R, Q, se) {
    var re = r(V, se), q = t(i(V, se), i(R, Q)), Z = i(re, 0.5), K = i(l(t(i(re, re), i(4, q))), 0.5);
    return [r(Z, K), t(Z, K)];
  }
  function $(V, R, Q, se, re, q, Z, K) {
    var j = K === "BigNumber", ee = K === "Complex", te = j ? s(0) : ee ? A(0) : 0, oe = j ? s(1) : ee ? A(1) : 1;
    if (x(u(Q), Z))
      return [[oe, te], [te, oe]];
    if (h(u(t(re, q)), Z))
      return [[t(re, se), t(q, se)], [Q, Q]];
    var ge = t(V, re), L = t(se, re);
    return x(u(R), Z) && x(u(L), Z) ? [[ge, oe], [Q, te]] : [[R, te], [L, oe]];
  }
  function I(V, R) {
    for (var Q = 0; Q < V.length; Q++)
      V[Q].push(...Array(R - V[Q].length).fill(0));
    for (var se = V.length; se < R; se++)
      V.push(Array(R).fill(0)), V[se][se] = 1;
    return V;
  }
  function B(V, R) {
    for (var Q = [], se = 0; se < R; se++)
      Q[se] = Array(R).fill(0);
    var re = 0;
    for (var q of V) {
      for (var Z = q.length, K = 0; K < Z; K++)
        for (var j = 0; j < Z; j++)
          Q[re + K][re + j] = q[K][j];
      re += Z;
    }
    return Q;
  }
  function C(V, R, Q) {
    for (var se = 0; se < V.length; se++)
      if (Q(V[se], R))
        return se;
    return -1;
  }
  function _(V, R, Q, se, re) {
    for (var q = re === "BigNumber" ? s(1e3) : 1e3, Z, K = 0; K < 5; ++K) {
      Z = z(R, Q, re);
      try {
        Z = v(V, Z);
      } catch {
        continue;
      }
      if (h(W(Z), q))
        break;
    }
    if (K >= 5)
      return null;
    for (K = 0; ; ) {
      var j = v(V, Z);
      if (x(W(O(Z, [j])), se))
        break;
      if (++K >= 10)
        return null;
      Z = X(j);
    }
    return Z;
  }
  function z(V, R, Q) {
    var se = Q === "BigNumber", re = Q === "Complex", q = Array(V).fill(0).map((Z) => 2 * Math.random() - 1);
    return se && (q = q.map((Z) => s(Z))), re && (q = q.map((Z) => A(Z))), q = O(q, R), X(q, Q);
  }
  function O(V, R) {
    var Q = f(V);
    for (var se of R)
      se = d(se, Q), V = t(V, a(o(g(se, V), g(se, se)), se));
    return V;
  }
  function W(V) {
    return u(l(g(V, V)));
  }
  function X(V, R) {
    var Q = R === "BigNumber", se = R === "Complex", re = Q ? s(1) : se ? A(1) : 1;
    return a(o(re, W(V)), V);
  }
  return D;
}
function l7(e) {
  var {
    config: r,
    addScalar: t,
    subtract: n,
    abs: a,
    atan: i,
    cos: o,
    sin: l,
    multiplyScalar: u,
    inv: s,
    bignumber: c,
    multiply: f,
    add: d
  } = e;
  function p(N, S) {
    var M = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : r.relTol, F = arguments.length > 3 ? arguments[3] : void 0, $ = arguments.length > 4 ? arguments[4] : void 0;
    if (F === "number")
      return m(N, M, $);
    if (F === "BigNumber")
      return v(N, M, $);
    throw TypeError("Unsupported data type: " + F);
  }
  function m(N, S, M) {
    var F = N.length, $ = Math.abs(S / F), I, B;
    if (M) {
      B = new Array(F);
      for (var C = 0; C < F; C++)
        B[C] = Array(F).fill(0), B[C][C] = 1;
    }
    for (var _ = g(N); Math.abs(_[1]) >= Math.abs($); ) {
      var z = _[0][0], O = _[0][1];
      I = b(N[z][z], N[O][O], N[z][O]), N = w(N, I, z, O), M && (B = A(B, I, z, O)), _ = g(N);
    }
    for (var W = Array(F).fill(0), X = 0; X < F; X++)
      W[X] = N[X][X];
    return E(qe(W), B, M);
  }
  function v(N, S, M) {
    var F = N.length, $ = a(S / F), I, B;
    if (M) {
      B = new Array(F);
      for (var C = 0; C < F; C++)
        B[C] = Array(F).fill(0), B[C][C] = 1;
    }
    for (var _ = D(N); a(_[1]) >= a($); ) {
      var z = _[0][0], O = _[0][1];
      I = y(N[z][z], N[O][O], N[z][O]), N = x(N, I, z, O), M && (B = h(B, I, z, O)), _ = D(N);
    }
    for (var W = Array(F).fill(0), X = 0; X < F; X++)
      W[X] = N[X][X];
    return E(qe(W), B, M);
  }
  function b(N, S, M) {
    var F = S - N;
    return Math.abs(F) <= r.relTol ? Math.PI / 4 : 0.5 * Math.atan(2 * M / (S - N));
  }
  function y(N, S, M) {
    var F = n(S, N);
    return a(F) <= r.relTol ? c(-1).acos().div(4) : u(0.5, i(f(2, M, s(F))));
  }
  function A(N, S, M, F) {
    for (var $ = N.length, I = Math.cos(S), B = Math.sin(S), C = Array($).fill(0), _ = Array($).fill(0), z = 0; z < $; z++)
      C[z] = I * N[z][M] - B * N[z][F], _[z] = B * N[z][M] + I * N[z][F];
    for (var O = 0; O < $; O++)
      N[O][M] = C[O], N[O][F] = _[O];
    return N;
  }
  function h(N, S, M, F) {
    for (var $ = N.length, I = o(S), B = l(S), C = Array($).fill(c(0)), _ = Array($).fill(c(0)), z = 0; z < $; z++)
      C[z] = n(u(I, N[z][M]), u(B, N[z][F])), _[z] = t(u(B, N[z][M]), u(I, N[z][F]));
    for (var O = 0; O < $; O++)
      N[O][M] = C[O], N[O][F] = _[O];
    return N;
  }
  function x(N, S, M, F) {
    for (var $ = N.length, I = c(o(S)), B = c(l(S)), C = u(I, I), _ = u(B, B), z = Array($).fill(c(0)), O = Array($).fill(c(0)), W = f(c(2), I, B, N[M][F]), X = t(n(u(C, N[M][M]), W), u(_, N[F][F])), V = d(u(_, N[M][M]), W, u(C, N[F][F])), R = 0; R < $; R++)
      z[R] = n(u(I, N[M][R]), u(B, N[F][R])), O[R] = t(u(B, N[M][R]), u(I, N[F][R]));
    N[M][M] = X, N[F][F] = V, N[M][F] = c(0), N[F][M] = c(0);
    for (var Q = 0; Q < $; Q++)
      Q !== M && Q !== F && (N[M][Q] = z[Q], N[Q][M] = z[Q], N[F][Q] = O[Q], N[Q][F] = O[Q]);
    return N;
  }
  function w(N, S, M, F) {
    for (var $ = N.length, I = Math.cos(S), B = Math.sin(S), C = I * I, _ = B * B, z = Array($).fill(0), O = Array($).fill(0), W = C * N[M][M] - 2 * I * B * N[M][F] + _ * N[F][F], X = _ * N[M][M] + 2 * I * B * N[M][F] + C * N[F][F], V = 0; V < $; V++)
      z[V] = I * N[M][V] - B * N[F][V], O[V] = B * N[M][V] + I * N[F][V];
    N[M][M] = W, N[F][F] = X, N[M][F] = 0, N[F][M] = 0;
    for (var R = 0; R < $; R++)
      R !== M && R !== F && (N[M][R] = z[R], N[R][M] = z[R], N[F][R] = O[R], N[R][F] = O[R]);
    return N;
  }
  function g(N) {
    for (var S = N.length, M = 0, F = [0, 1], $ = 0; $ < S; $++)
      for (var I = $ + 1; I < S; I++)
        Math.abs(M) < Math.abs(N[$][I]) && (M = Math.abs(N[$][I]), F = [$, I]);
    return [F, M];
  }
  function D(N) {
    for (var S = N.length, M = 0, F = [0, 1], $ = 0; $ < S; $++)
      for (var I = $ + 1; I < S; I++)
        a(M) < a(N[$][I]) && (M = a(N[$][I]), F = [$, I]);
    return [F, M];
  }
  function E(N, S, M) {
    var F = N.length, $ = Array(F), I;
    if (M) {
      I = Array(F);
      for (var B = 0; B < F; B++)
        I[B] = Array(F);
    }
    for (var C = 0; C < F; C++) {
      for (var _ = 0, z = N[0], O = 0; O < N.length; O++)
        a(N[O]) < a(z) && (_ = O, z = N[_]);
      if ($[C] = N.splice(_, 1)[0], M)
        for (var W = 0; W < F; W++)
          I[C][W] = S[W][_], S[W].splice(_, 1);
    }
    if (!M) return {
      values: $
    };
    var X = I.map((V, R) => ({
      value: $[R],
      vector: V
    }));
    return {
      values: $,
      eigenvectors: X
    };
  }
  return p;
}
var c7 = "eigs", f7 = ["config", "typed", "matrix", "addScalar", "equal", "subtract", "abs", "atan", "cos", "sin", "multiplyScalar", "divideScalar", "inv", "bignumber", "multiply", "add", "larger", "column", "flatten", "number", "complex", "sqrt", "diag", "size", "reshape", "qr", "usolve", "usolveAll", "im", "re", "smaller", "matrixFromColumns", "dot"], d7 = /* @__PURE__ */ P(c7, f7, (e) => {
  var {
    config: r,
    typed: t,
    matrix: n,
    addScalar: a,
    subtract: i,
    equal: o,
    abs: l,
    atan: u,
    cos: s,
    sin: c,
    multiplyScalar: f,
    divideScalar: d,
    inv: p,
    bignumber: m,
    multiply: v,
    add: b,
    larger: y,
    column: A,
    flatten: h,
    number: x,
    complex: w,
    sqrt: g,
    diag: D,
    size: E,
    reshape: N,
    qr: S,
    usolve: M,
    usolveAll: F,
    im: $,
    re: I,
    smaller: B,
    matrixFromColumns: C,
    dot: _
  } = e, z = l7({
    config: r,
    addScalar: a,
    subtract: i,
    abs: l,
    atan: u,
    cos: s,
    sin: c,
    multiplyScalar: f,
    inv: p,
    bignumber: m,
    multiply: v,
    add: b
  }), O = u7({
    addScalar: a,
    subtract: i,
    multiply: v,
    multiplyScalar: f,
    flatten: h,
    divideScalar: d,
    sqrt: g,
    abs: l,
    bignumber: m,
    diag: D,
    size: E,
    reshape: N,
    qr: S,
    inv: p,
    usolve: M,
    usolveAll: F,
    equal: o,
    complex: w,
    larger: y,
    smaller: B,
    matrixFromColumns: C,
    dot: _
  });
  return t("eigs", {
    // The conversion to matrix in the first two implementations,
    // just to convert back to an array right away in
    // computeValuesAndVectors, is unfortunate, and should perhaps be
    // streamlined. It is done because the Matrix object carries some
    // type information about its entries, and so constructing the matrix
    // is a roundabout way of doing type detection.
    Array: function(q) {
      return W(n(q));
    },
    "Array, number|BigNumber": function(q, Z) {
      return W(n(q), {
        precision: Z
      });
    },
    "Array, Object"(re, q) {
      return W(n(re), q);
    },
    Matrix: function(q) {
      return W(q, {
        matricize: !0
      });
    },
    "Matrix, number|BigNumber": function(q, Z) {
      return W(q, {
        precision: Z,
        matricize: !0
      });
    },
    "Matrix, Object": function(q, Z) {
      var K = {
        matricize: !0
      };
      return jr(K, Z), W(q, K);
    }
  });
  function W(re) {
    var q, Z = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : {}, K = "eigenvectors" in Z ? Z.eigenvectors : !0, j = (q = Z.precision) !== null && q !== void 0 ? q : r.relTol, ee = X(re, j, K);
    return Z.matricize && (ee.values = n(ee.values), K && (ee.eigenvectors = ee.eigenvectors.map((te) => {
      var {
        value: oe,
        vector: ge
      } = te;
      return {
        value: oe,
        vector: n(ge)
      };
    }))), K && Object.defineProperty(ee, "vectors", {
      enumerable: !1,
      // to make sure that the eigenvectors can still be
      // converted to string.
      get: () => {
        throw new Error("eigs(M).vectors replaced with eigs(M).eigenvectors");
      }
    }), ee;
  }
  function X(re, q, Z) {
    var K = re.toArray(), j = re.size();
    if (j.length !== 2 || j[0] !== j[1])
      throw new RangeError("Matrix must be square (size: ".concat(Qe(j), ")"));
    var ee = j[0];
    if (R(K, ee, q) && (Q(K, ee), V(K, ee, q))) {
      var te = se(re, K, ee);
      return z(K, ee, q, te, Z);
    }
    var oe = se(re, K, ee);
    return O(K, ee, q, oe, Z);
  }
  function V(re, q, Z) {
    for (var K = 0; K < q; K++)
      for (var j = K; j < q; j++)
        if (y(m(l(i(re[K][j], re[j][K]))), Z))
          return !1;
    return !0;
  }
  function R(re, q, Z) {
    for (var K = 0; K < q; K++)
      for (var j = 0; j < q; j++)
        if (y(m(l($(re[K][j]))), Z))
          return !1;
    return !0;
  }
  function Q(re, q) {
    for (var Z = 0; Z < q; Z++)
      for (var K = 0; K < q; K++)
        re[Z][K] = I(re[Z][K]);
  }
  function se(re, q, Z) {
    var K = re.datatype();
    if (K === "number" || K === "BigNumber" || K === "Complex")
      return K;
    for (var j = !1, ee = !1, te = !1, oe = 0; oe < Z; oe++)
      for (var ge = 0; ge < Z; ge++) {
        var L = q[oe][ge];
        if (We(L) || Aa(L))
          j = !0;
        else if (Ze(L))
          ee = !0;
        else if (Ut(L))
          te = !0;
        else
          throw TypeError("Unsupported type in Matrix: " + yr(L));
      }
    if (ee && te && console.warn("Complex BigNumbers not supported, this operation will lose precission."), te) {
      for (var H = 0; H < Z; H++)
        for (var ne = 0; ne < Z; ne++)
          q[H][ne] = w(q[H][ne]);
      return "Complex";
    }
    if (ee) {
      for (var ie = 0; ie < Z; ie++)
        for (var me = 0; me < Z; me++)
          q[ie][me] = m(q[ie][me]);
      return "BigNumber";
    }
    if (j) {
      for (var pe = 0; pe < Z; pe++)
        for (var xe = 0; xe < Z; xe++)
          q[pe][xe] = x(q[pe][xe]);
      return "number";
    } else
      throw TypeError("Matrix contains unsupported types only.");
  }
}), gv = "expm", p7 = ["typed", "abs", "add", "identity", "inv", "multiply"], m7 = /* @__PURE__ */ P(gv, p7, (e) => {
  var {
    typed: r,
    abs: t,
    add: n,
    identity: a,
    inv: i,
    multiply: o
  } = e;
  return r(gv, {
    Matrix: function(f) {
      var d = f.size();
      if (d.length !== 2 || d[0] !== d[1])
        throw new RangeError("Matrix must be square (size: " + Qe(d) + ")");
      for (var p = d[0], m = 1e-15, v = l(f), b = u(v, m), y = b.q, A = b.j, h = o(f, Math.pow(2, -A)), x = a(p), w = a(p), g = 1, D = h, E = -1, N = 1; N <= y; N++)
        N > 1 && (D = o(D, h), E = -E), g = g * (y - N + 1) / ((2 * y - N + 1) * N), x = n(x, o(g, D)), w = n(w, o(g * E, D));
      for (var S = o(i(w), x), M = 0; M < A; M++)
        S = o(S, S);
      return kn(f) ? f.createSparseMatrix(S) : S;
    }
  });
  function l(c) {
    for (var f = c.size()[0], d = 0, p = 0; p < f; p++) {
      for (var m = 0, v = 0; v < f; v++)
        m += t(c.get([p, v]));
      d = Math.max(m, d);
    }
    return d;
  }
  function u(c, f) {
    for (var d = 30, p = 0; p < d; p++)
      for (var m = 0; m <= p; m++) {
        var v = p - m;
        if (s(c, m, v) < f)
          return {
            q: m,
            j: v
          };
      }
    throw new Error("Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)");
  }
  function s(c, f, d) {
    for (var p = 1, m = 2; m <= f; m++)
      p *= m;
    for (var v = p, b = f + 1; b <= 2 * f; b++)
      v *= b;
    var y = v * (2 * f + 1);
    return 8 * Math.pow(c / Math.pow(2, d), 2 * f) * p * p / (v * y);
  }
}), yv = "sqrtm", v7 = ["typed", "abs", "add", "multiply", "map", "sqrt", "subtract", "inv", "size", "max", "identity"], h7 = /* @__PURE__ */ P(yv, v7, (e) => {
  var {
    typed: r,
    abs: t,
    add: n,
    multiply: a,
    map: i,
    sqrt: o,
    subtract: l,
    inv: u,
    size: s,
    max: c,
    identity: f
  } = e, d = 1e3, p = 1e-6;
  function m(v) {
    var b, y = 0, A = v, h = f(s(v));
    do {
      var x = A;
      if (A = a(0.5, n(x, u(h))), h = a(0.5, n(h, u(x))), b = c(t(l(A, x))), b > p && ++y > d)
        throw new Error("computing square root of matrix: iterative method could not converge");
    } while (b > p);
    return A;
  }
  return r(yv, {
    "Array | Matrix": function(b) {
      var y = ze(b) ? b.size() : ke(b);
      switch (y.length) {
        case 1:
          if (y[0] === 1)
            return i(b, o);
          throw new RangeError("Matrix must be square (size: " + Qe(y) + ")");
        case 2: {
          var A = y[0], h = y[1];
          if (A === h)
            return m(b);
          throw new RangeError("Matrix must be square (size: " + Qe(y) + ")");
        }
        default:
          throw new RangeError("Matrix must be at most two dimensional (size: " + Qe(y) + ")");
      }
    }
  });
}), bv = "sylvester", g7 = ["typed", "schur", "matrixFromColumns", "matrix", "multiply", "range", "concat", "transpose", "index", "subset", "add", "subtract", "identity", "lusolve", "abs"], y7 = /* @__PURE__ */ P(bv, g7, (e) => {
  var {
    typed: r,
    schur: t,
    matrixFromColumns: n,
    matrix: a,
    multiply: i,
    range: o,
    concat: l,
    transpose: u,
    index: s,
    subset: c,
    add: f,
    subtract: d,
    identity: p,
    lusolve: m,
    abs: v
  } = e;
  return r(bv, {
    "Matrix, Matrix, Matrix": b,
    "Array, Matrix, Matrix": function(A, h, x) {
      return b(a(A), h, x);
    },
    "Array, Array, Matrix": function(A, h, x) {
      return b(a(A), a(h), x);
    },
    "Array, Matrix, Array": function(A, h, x) {
      return b(a(A), h, a(x));
    },
    "Matrix, Array, Matrix": function(A, h, x) {
      return b(A, a(h), x);
    },
    "Matrix, Array, Array": function(A, h, x) {
      return b(A, a(h), a(x));
    },
    "Matrix, Matrix, Array": function(A, h, x) {
      return b(A, h, a(x));
    },
    "Array, Array, Array": function(A, h, x) {
      return b(a(A), a(h), a(x)).toArray();
    }
  });
  function b(y, A, h) {
    for (var x = A.size()[0], w = y.size()[0], g = t(y), D = g.T, E = g.U, N = t(i(-1, A)), S = N.T, M = N.U, F = i(i(u(E), h), M), $ = o(0, w), I = [], B = (te, oe) => l(te, oe, 1), C = (te, oe) => l(te, oe, 0), _ = 0; _ < x; _++)
      if (_ < x - 1 && v(c(S, s(_ + 1, _))) > 1e-5) {
        for (var z = C(c(F, s($, _)), c(F, s($, _ + 1))), O = 0; O < _; O++)
          z = f(z, C(i(I[O], c(S, s(O, _))), i(I[O], c(S, s(O, _ + 1)))));
        var W = i(p(w), i(-1, c(S, s(_, _)))), X = i(p(w), i(-1, c(S, s(_ + 1, _)))), V = i(p(w), i(-1, c(S, s(_, _ + 1)))), R = i(p(w), i(-1, c(S, s(_ + 1, _ + 1)))), Q = C(B(f(D, W), X), B(V, f(D, R))), se = m(Q, z);
        I[_] = se.subset(s(o(0, w), 0)), I[_ + 1] = se.subset(s(o(w, 2 * w), 0)), _++;
      } else {
        for (var re = c(F, s($, _)), q = 0; q < _; q++)
          re = f(re, i(I[q], c(S, s(q, _))));
        var Z = c(S, s(_, _)), K = d(D, i(Z, p(w)));
        I[_] = m(K, re);
      }
    var j = a(n(...I)), ee = i(E, i(j, u(M)));
    return ee;
  }
}), wv = "schur", b7 = ["typed", "matrix", "identity", "multiply", "qr", "norm", "subtract"], w7 = /* @__PURE__ */ P(wv, b7, (e) => {
  var {
    typed: r,
    matrix: t,
    identity: n,
    multiply: a,
    qr: i,
    norm: o,
    subtract: l
  } = e;
  return r(wv, {
    Array: function(c) {
      var f = u(t(c));
      return {
        U: f.U.valueOf(),
        T: f.T.valueOf()
      };
    },
    Matrix: function(c) {
      return u(c);
    }
  });
  function u(s) {
    var c = s.size()[0], f = s, d = n(c), p = 0, m;
    do {
      m = f;
      var v = i(f), b = v.Q, y = v.R;
      if (f = a(y, b), d = a(d, b), p++ > 100)
        break;
    } while (o(l(f, m)) > 1e-4);
    return {
      U: d,
      T: f
    };
  }
}), xv = "lyap", x7 = ["typed", "matrix", "sylvester", "multiply", "transpose"], A7 = /* @__PURE__ */ P(xv, x7, (e) => {
  var {
    typed: r,
    matrix: t,
    sylvester: n,
    multiply: a,
    transpose: i
  } = e;
  return r(xv, {
    "Matrix, Matrix": function(l, u) {
      return n(l, i(l), a(-1, u));
    },
    "Array, Matrix": function(l, u) {
      return n(t(l), i(t(l)), a(-1, u));
    },
    "Matrix, Array": function(l, u) {
      return n(l, i(t(l)), t(a(-1, u)));
    },
    "Array, Array": function(l, u) {
      return n(t(l), i(t(l)), t(a(-1, u))).toArray();
    }
  });
}), N7 = "divide", D7 = ["typed", "matrix", "multiply", "equalScalar", "divideScalar", "inv"], E7 = /* @__PURE__ */ P(N7, D7, (e) => {
  var {
    typed: r,
    matrix: t,
    multiply: n,
    equalScalar: a,
    divideScalar: i,
    inv: o
  } = e, l = Kr({
    typed: r,
    equalScalar: a
  }), u = Wt({
    typed: r
  });
  return r("divide", X0({
    // we extend the signatures of divideScalar with signatures dealing with matrices
    "Array | Matrix, Array | Matrix": function(c, f) {
      return n(c, o(f));
    },
    "DenseMatrix, any": function(c, f) {
      return u(c, f, i, !1);
    },
    "SparseMatrix, any": function(c, f) {
      return l(c, f, i, !1);
    },
    "Array, any": function(c, f) {
      return u(t(c), f, i, !1).valueOf();
    },
    "any, Array | Matrix": function(c, f) {
      return n(c, o(f));
    }
  }, i.signatures));
}), Av = "distance", S7 = ["typed", "addScalar", "subtractScalar", "divideScalar", "multiplyScalar", "deepEqual", "sqrt", "abs"], C7 = /* @__PURE__ */ P(Av, S7, (e) => {
  var {
    typed: r,
    addScalar: t,
    subtractScalar: n,
    multiplyScalar: a,
    divideScalar: i,
    deepEqual: o,
    sqrt: l,
    abs: u
  } = e;
  return r(Av, {
    "Array, Array, Array": function(w, g, D) {
      if (w.length === 2 && g.length === 2 && D.length === 2) {
        if (!c(w))
          throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");
        if (!c(g))
          throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument");
        if (!c(D))
          throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument");
        if (o(g, D))
          throw new TypeError("LinePoint1 should not be same with LinePoint2");
        var E = n(D[1], g[1]), N = n(g[0], D[0]), S = n(a(D[0], g[1]), a(g[0], D[1]));
        return b(w[0], w[1], E, N, S);
      } else
        throw new TypeError("Invalid Arguments: Try again");
    },
    "Object, Object, Object": function(w, g, D) {
      if (Object.keys(w).length === 2 && Object.keys(g).length === 2 && Object.keys(D).length === 2) {
        if (!c(w))
          throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers");
        if (!c(g))
          throw new TypeError("Values of lineOnePtX and lineOnePtY should be numbers or BigNumbers");
        if (!c(D))
          throw new TypeError("Values of lineTwoPtX and lineTwoPtY should be numbers or BigNumbers");
        if (o(m(g), m(D)))
          throw new TypeError("LinePoint1 should not be same with LinePoint2");
        if ("pointX" in w && "pointY" in w && "lineOnePtX" in g && "lineOnePtY" in g && "lineTwoPtX" in D && "lineTwoPtY" in D) {
          var E = n(D.lineTwoPtY, g.lineOnePtY), N = n(g.lineOnePtX, D.lineTwoPtX), S = n(a(D.lineTwoPtX, g.lineOnePtY), a(g.lineOnePtX, D.lineTwoPtY));
          return b(w.pointX, w.pointY, E, N, S);
        } else
          throw new TypeError("Key names do not match");
      } else
        throw new TypeError("Invalid Arguments: Try again");
    },
    "Array, Array": function(w, g) {
      if (w.length === 2 && g.length === 3) {
        if (!c(w))
          throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");
        if (!f(g))
          throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");
        return b(w[0], w[1], g[0], g[1], g[2]);
      } else if (w.length === 3 && g.length === 6) {
        if (!f(w))
          throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");
        if (!p(g))
          throw new TypeError("Array with 6 numbers or BigNumbers expected for second argument");
        return y(w[0], w[1], w[2], g[0], g[1], g[2], g[3], g[4], g[5]);
      } else if (w.length === g.length && w.length > 0) {
        if (!d(w))
          throw new TypeError("All values of an array should be numbers or BigNumbers");
        if (!d(g))
          throw new TypeError("All values of an array should be numbers or BigNumbers");
        return A(w, g);
      } else
        throw new TypeError("Invalid Arguments: Try again");
    },
    "Object, Object": function(w, g) {
      if (Object.keys(w).length === 2 && Object.keys(g).length === 3) {
        if (!c(w))
          throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers");
        if (!f(g))
          throw new TypeError("Values of xCoeffLine, yCoeffLine and constant should be numbers or BigNumbers");
        if ("pointX" in w && "pointY" in w && "xCoeffLine" in g && "yCoeffLine" in g && "constant" in g)
          return b(w.pointX, w.pointY, g.xCoeffLine, g.yCoeffLine, g.constant);
        throw new TypeError("Key names do not match");
      } else if (Object.keys(w).length === 3 && Object.keys(g).length === 6) {
        if (!f(w))
          throw new TypeError("Values of pointX, pointY and pointZ should be numbers or BigNumbers");
        if (!p(g))
          throw new TypeError("Values of x0, y0, z0, a, b and c should be numbers or BigNumbers");
        if ("pointX" in w && "pointY" in w && "x0" in g && "y0" in g && "z0" in g && "a" in g && "b" in g && "c" in g)
          return y(w.pointX, w.pointY, w.pointZ, g.x0, g.y0, g.z0, g.a, g.b, g.c);
        throw new TypeError("Key names do not match");
      } else if (Object.keys(w).length === 2 && Object.keys(g).length === 2) {
        if (!c(w))
          throw new TypeError("Values of pointOneX and pointOneY should be numbers or BigNumbers");
        if (!c(g))
          throw new TypeError("Values of pointTwoX and pointTwoY should be numbers or BigNumbers");
        if ("pointOneX" in w && "pointOneY" in w && "pointTwoX" in g && "pointTwoY" in g)
          return A([w.pointOneX, w.pointOneY], [g.pointTwoX, g.pointTwoY]);
        throw new TypeError("Key names do not match");
      } else if (Object.keys(w).length === 3 && Object.keys(g).length === 3) {
        if (!f(w))
          throw new TypeError("Values of pointOneX, pointOneY and pointOneZ should be numbers or BigNumbers");
        if (!f(g))
          throw new TypeError("Values of pointTwoX, pointTwoY and pointTwoZ should be numbers or BigNumbers");
        if ("pointOneX" in w && "pointOneY" in w && "pointOneZ" in w && "pointTwoX" in g && "pointTwoY" in g && "pointTwoZ" in g)
          return A([w.pointOneX, w.pointOneY, w.pointOneZ], [g.pointTwoX, g.pointTwoY, g.pointTwoZ]);
        throw new TypeError("Key names do not match");
      } else
        throw new TypeError("Invalid Arguments: Try again");
    },
    Array: function(w) {
      if (!v(w))
        throw new TypeError("Incorrect array format entered for pairwise distance calculation");
      return h(w);
    }
  });
  function s(x) {
    return typeof x == "number" || Ze(x);
  }
  function c(x) {
    return x.constructor !== Array && (x = m(x)), s(x[0]) && s(x[1]);
  }
  function f(x) {
    return x.constructor !== Array && (x = m(x)), s(x[0]) && s(x[1]) && s(x[2]);
  }
  function d(x) {
    return Array.isArray(x) || (x = m(x)), x.every(s);
  }
  function p(x) {
    return x.constructor !== Array && (x = m(x)), s(x[0]) && s(x[1]) && s(x[2]) && s(x[3]) && s(x[4]) && s(x[5]);
  }
  function m(x) {
    for (var w = Object.keys(x), g = [], D = 0; D < w.length; D++)
      g.push(x[w[D]]);
    return g;
  }
  function v(x) {
    if (x[0].length === 2 && s(x[0][0]) && s(x[0][1])) {
      if (x.some((w) => w.length !== 2 || !s(w[0]) || !s(w[1])))
        return !1;
    } else if (x[0].length === 3 && s(x[0][0]) && s(x[0][1]) && s(x[0][2])) {
      if (x.some((w) => w.length !== 3 || !s(w[0]) || !s(w[1]) || !s(w[2])))
        return !1;
    } else
      return !1;
    return !0;
  }
  function b(x, w, g, D, E) {
    var N = u(t(t(a(g, x), a(D, w)), E)), S = l(t(a(g, g), a(D, D)));
    return i(N, S);
  }
  function y(x, w, g, D, E, N, S, M, F) {
    var $ = [n(a(n(E, w), F), a(n(N, g), M)), n(a(n(N, g), S), a(n(D, x), F)), n(a(n(D, x), M), a(n(E, w), S))];
    $ = l(t(t(a($[0], $[0]), a($[1], $[1])), a($[2], $[2])));
    var I = l(t(t(a(S, S), a(M, M)), a(F, F)));
    return i($, I);
  }
  function A(x, w) {
    for (var g = x.length, D = 0, E = 0, N = 0; N < g; N++)
      E = n(x[N], w[N]), D = t(a(E, E), D);
    return l(D);
  }
  function h(x) {
    for (var w = [], g = [], D = [], E = 0; E < x.length - 1; E++)
      for (var N = E + 1; N < x.length; N++)
        x[0].length === 2 ? (g = [x[E][0], x[E][1]], D = [x[N][0], x[N][1]]) : x[0].length === 3 && (g = [x[E][0], x[E][1], x[E][2]], D = [x[N][0], x[N][1], x[N][2]]), w.push(A(g, D));
    return w;
  }
}), M7 = "intersect", _7 = ["typed", "config", "abs", "add", "addScalar", "matrix", "multiply", "multiplyScalar", "divideScalar", "subtract", "smaller", "equalScalar", "flatten", "isZero", "isNumeric"], F7 = /* @__PURE__ */ P(M7, _7, (e) => {
  var {
    typed: r,
    config: t,
    abs: n,
    add: a,
    addScalar: i,
    matrix: o,
    multiply: l,
    multiplyScalar: u,
    divideScalar: s,
    subtract: c,
    smaller: f,
    equalScalar: d,
    flatten: p,
    isZero: m,
    isNumeric: v
  } = e;
  return r("intersect", {
    "Array, Array, Array": b,
    "Array, Array, Array, Array": y,
    "Matrix, Matrix, Matrix": function(M, F, $) {
      var I = b(M.valueOf(), F.valueOf(), $.valueOf());
      return I === null ? null : o(I);
    },
    "Matrix, Matrix, Matrix, Matrix": function(M, F, $, I) {
      var B = y(M.valueOf(), F.valueOf(), $.valueOf(), I.valueOf());
      return B === null ? null : o(B);
    }
  });
  function b(S, M, F) {
    if (S = A(S), M = A(M), F = A(F), !x(S))
      throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");
    if (!x(M))
      throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");
    if (!w(F))
      throw new TypeError("Array with 4 numbers expected as third argument");
    return N(S[0], S[1], S[2], M[0], M[1], M[2], F[0], F[1], F[2], F[3]);
  }
  function y(S, M, F, $) {
    if (S = A(S), M = A(M), F = A(F), $ = A($), S.length === 2) {
      if (!h(S))
        throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");
      if (!h(M))
        throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument");
      if (!h(F))
        throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument");
      if (!h($))
        throw new TypeError("Array with 2 numbers or BigNumbers expected for fourth argument");
      return g(S, M, F, $);
    } else if (S.length === 3) {
      if (!x(S))
        throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");
      if (!x(M))
        throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");
      if (!x(F))
        throw new TypeError("Array with 3 numbers or BigNumbers expected for third argument");
      if (!x($))
        throw new TypeError("Array with 3 numbers or BigNumbers expected for fourth argument");
      return E(S[0], S[1], S[2], M[0], M[1], M[2], F[0], F[1], F[2], $[0], $[1], $[2]);
    } else
      throw new TypeError("Arrays with two or thee dimensional points expected");
  }
  function A(S) {
    return S.length === 1 ? S[0] : S.length > 1 && Array.isArray(S[0]) && S.every((M) => Array.isArray(M) && M.length === 1) ? p(S) : S;
  }
  function h(S) {
    return S.length === 2 && v(S[0]) && v(S[1]);
  }
  function x(S) {
    return S.length === 3 && v(S[0]) && v(S[1]) && v(S[2]);
  }
  function w(S) {
    return S.length === 4 && v(S[0]) && v(S[1]) && v(S[2]) && v(S[3]);
  }
  function g(S, M, F, $) {
    var I = S, B = F, C = c(I, M), _ = c(B, $), z = c(u(C[0], _[1]), u(_[0], C[1]));
    if (m(z) || f(n(z), t.relTol))
      return null;
    var O = u(_[0], I[1]), W = u(_[1], I[0]), X = u(_[0], B[1]), V = u(_[1], B[0]), R = s(i(c(c(O, W), X), V), z);
    return a(l(C, R), I);
  }
  function D(S, M, F, $, I, B, C, _, z, O, W, X) {
    var V = u(c(S, M), c(F, $)), R = u(c(I, B), c(C, _)), Q = u(c(z, O), c(W, X));
    return i(i(V, R), Q);
  }
  function E(S, M, F, $, I, B, C, _, z, O, W, X) {
    var V = D(S, C, O, C, M, _, W, _, F, z, X, z), R = D(O, C, $, S, W, _, I, M, X, z, B, F), Q = D(S, C, $, S, M, _, I, M, F, z, B, F), se = D(O, C, O, C, W, _, W, _, X, z, X, z), re = D($, S, $, S, I, M, I, M, B, F, B, F), q = c(u(V, R), u(Q, se)), Z = c(u(re, se), u(R, R));
    if (m(Z)) return null;
    var K = s(q, Z), j = s(i(V, u(K, R)), se), ee = i(S, u(K, c($, S))), te = i(M, u(K, c(I, M))), oe = i(F, u(K, c(B, F))), ge = i(C, u(j, c(O, C))), L = i(_, u(j, c(W, _))), H = i(z, u(j, c(X, z)));
    return d(ee, ge) && d(te, L) && d(oe, H) ? [ee, te, oe] : null;
  }
  function N(S, M, F, $, I, B, C, _, z, O) {
    var W = u(S, C), X = u($, C), V = u(M, _), R = u(I, _), Q = u(F, z), se = u(B, z), re = c(c(c(O, W), V), Q), q = c(c(c(i(i(X, R), se), W), V), Q), Z = s(re, q), K = i(S, u(Z, c($, S))), j = i(M, u(Z, c(I, M))), ee = i(F, u(Z, c(B, F)));
    return [K, j, ee];
  }
}), Nv = "sum", T7 = ["typed", "config", "add", "numeric"], Wy = /* @__PURE__ */ P(Nv, T7, (e) => {
  var {
    typed: r,
    config: t,
    add: n,
    numeric: a
  } = e;
  return r(Nv, {
    // sum([a, b, c, d, ...])
    "Array | Matrix": i,
    // sum([a, b, c, d, ...], dim)
    "Array | Matrix, number | BigNumber": o,
    // sum(a, b, c, d, ...)
    "...": function(u) {
      if (ci(u))
        throw new TypeError("Scalar values expected in function sum");
      return i(u);
    }
  });
  function i(l) {
    var u;
    return Cn(l, function(s) {
      try {
        u = u === void 0 ? s : n(u, s);
      } catch (c) {
        throw st(c, "sum", s);
      }
    }), u === void 0 && (u = a(0, t.number)), typeof u == "string" && (u = a(u, Qn(u, t))), u;
  }
  function o(l, u) {
    try {
      var s = $s(l, u, n);
      return s;
    } catch (c) {
      throw st(c, "sum");
    }
  }
}), Fo = "cumsum", O7 = ["typed", "add", "unaryPlus"], Ky = /* @__PURE__ */ P(Fo, O7, (e) => {
  var {
    typed: r,
    add: t,
    unaryPlus: n
  } = e;
  return r(Fo, {
    // sum([a, b, c, d, ...])
    Array: a,
    Matrix: function(s) {
      return s.create(a(s.valueOf(), s.datatype()));
    },
    // sum([a, b, c, d, ...], dim)
    "Array, number | BigNumber": o,
    "Matrix, number | BigNumber": function(s, c) {
      return s.create(o(s.valueOf(), c), s.datatype());
    },
    // cumsum(a, b, c, d, ...)
    "...": function(s) {
      if (ci(s))
        throw new TypeError("All values expected to be scalar in function cumsum");
      return a(s);
    }
  });
  function a(u) {
    try {
      return i(u);
    } catch (s) {
      throw st(s, Fo);
    }
  }
  function i(u) {
    if (u.length === 0)
      return [];
    for (var s = [n(u[0])], c = 1; c < u.length; ++c)
      s.push(t(s[c - 1], u[c]));
    return s;
  }
  function o(u, s) {
    var c = ke(u);
    if (s < 0 || s >= c.length)
      throw new $t(s, c.length);
    try {
      return l(u, s);
    } catch (f) {
      throw st(f, Fo);
    }
  }
  function l(u, s) {
    var c, f, d;
    if (s <= 0) {
      var p = u[0][0];
      if (Array.isArray(p)) {
        for (d = Mg(u), f = [], c = 0; c < d.length; c++)
          f[c] = l(d[c], s - 1);
        return f;
      } else
        return i(u);
    } else {
      for (f = [], c = 0; c < u.length; c++)
        f[c] = l(u[c], s - 1);
      return f;
    }
  }
}), Dv = "mean", B7 = ["typed", "add", "divide"], Jy = /* @__PURE__ */ P(Dv, B7, (e) => {
  var {
    typed: r,
    add: t,
    divide: n
  } = e;
  return r(Dv, {
    // mean([a, b, c, d, ...])
    "Array | Matrix": i,
    // mean([a, b, c, d, ...], dim)
    "Array | Matrix, number | BigNumber": a,
    // mean(a, b, c, d, ...)
    "...": function(l) {
      if (ci(l))
        throw new TypeError("Scalar values expected in function mean");
      return i(l);
    }
  });
  function a(o, l) {
    try {
      var u = $s(o, l, t), s = Array.isArray(o) ? ke(o) : o.size();
      return n(u, s[l]);
    } catch (c) {
      throw st(c, "mean");
    }
  }
  function i(o) {
    var l, u = 0;
    if (Cn(o, function(s) {
      try {
        l = l === void 0 ? s : t(l, s), u++;
      } catch (c) {
        throw st(c, "mean", s);
      }
    }), u === 0)
      throw new Error("Cannot calculate the mean of an empty array");
    return n(l, u);
  }
}), Ev = "median", $7 = ["typed", "add", "divide", "compare", "partitionSelect"], I7 = /* @__PURE__ */ P(Ev, $7, (e) => {
  var {
    typed: r,
    add: t,
    divide: n,
    compare: a,
    partitionSelect: i
  } = e;
  function o(s) {
    try {
      s = sr(s.valueOf());
      var c = s.length;
      if (c === 0)
        throw new Error("Cannot calculate median of an empty array");
      if (c % 2 === 0) {
        for (var f = c / 2 - 1, d = i(s, f + 1), p = s[f], m = 0; m < f; ++m)
          a(s[m], p) > 0 && (p = s[m]);
        return u(p, d);
      } else {
        var v = i(s, (c - 1) / 2);
        return l(v);
      }
    } catch (b) {
      throw st(b, "median");
    }
  }
  var l = r({
    "number | BigNumber | Complex | Unit": function(c) {
      return c;
    }
  }), u = r({
    "number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit": function(c, f) {
      return n(t(c, f), 2);
    }
  });
  return r(Ev, {
    // median([a, b, c, d, ...])
    "Array | Matrix": o,
    // median([a, b, c, d, ...], dim)
    "Array | Matrix, number | BigNumber": function(c, f) {
      throw new Error("median(A, dim) is not yet supported");
    },
    // median(a, b, c, d, ...)
    "...": function(c) {
      if (ci(c))
        throw new TypeError("Scalar values expected in function median");
      return o(c);
    }
  });
}), Sv = "mad", R7 = ["typed", "abs", "map", "median", "subtract"], P7 = /* @__PURE__ */ P(Sv, R7, (e) => {
  var {
    typed: r,
    abs: t,
    map: n,
    median: a,
    subtract: i
  } = e;
  return r(Sv, {
    // mad([a, b, c, d, ...])
    "Array | Matrix": o,
    // mad(a, b, c, d, ...)
    "...": function(u) {
      return o(u);
    }
  });
  function o(l) {
    if (l = sr(l.valueOf()), l.length === 0)
      throw new Error("Cannot calculate median absolute deviation (mad) of an empty array");
    try {
      var u = a(l);
      return a(n(l, function(s) {
        return t(i(s, u));
      }));
    } catch (s) {
      throw s instanceof TypeError && s.message.includes("median") ? new TypeError(s.message.replace("median", "mad")) : st(s, "mad");
    }
  }
}), hu = "unbiased", Cv = "variance", z7 = ["typed", "add", "subtract", "multiply", "divide", "apply", "isNaN"], Yy = /* @__PURE__ */ P(Cv, z7, (e) => {
  var {
    typed: r,
    add: t,
    subtract: n,
    multiply: a,
    divide: i,
    apply: o,
    isNaN: l
  } = e;
  return r(Cv, {
    // variance([a, b, c, d, ...])
    "Array | Matrix": function(f) {
      return u(f, hu);
    },
    // variance([a, b, c, d, ...], normalization)
    "Array | Matrix, string": u,
    // variance([a, b, c, c, ...], dim)
    "Array | Matrix, number | BigNumber": function(f, d) {
      return s(f, d, hu);
    },
    // variance([a, b, c, c, ...], dim, normalization)
    "Array | Matrix, number | BigNumber, string": s,
    // variance(a, b, c, d, ...)
    "...": function(f) {
      return u(f, hu);
    }
  });
  function u(c, f) {
    var d, p = 0;
    if (c.length === 0)
      throw new SyntaxError("Function variance requires one or more parameters (0 provided)");
    if (Cn(c, function(b) {
      try {
        d = d === void 0 ? b : t(d, b), p++;
      } catch (y) {
        throw st(y, "variance", b);
      }
    }), p === 0) throw new Error("Cannot calculate variance of an empty array");
    var m = i(d, p);
    if (d = void 0, Cn(c, function(b) {
      var y = n(b, m);
      d = d === void 0 ? a(y, y) : t(d, a(y, y));
    }), l(d))
      return d;
    switch (f) {
      case "uncorrected":
        return i(d, p);
      case "biased":
        return i(d, p + 1);
      case "unbiased": {
        var v = Ze(d) ? d.mul(0) : 0;
        return p === 1 ? v : i(d, p - 1);
      }
      default:
        throw new Error('Unknown normalization "' + f + '". Choose "unbiased" (default), "uncorrected", or "biased".');
    }
  }
  function s(c, f, d) {
    try {
      if (c.length === 0)
        throw new SyntaxError("Function variance requires one or more parameters (0 provided)");
      return o(c, f, (p) => u(p, d));
    } catch (p) {
      throw st(p, "variance");
    }
  }
}), Mv = "quantileSeq", q7 = ["typed", "?bignumber", "add", "subtract", "divide", "multiply", "partitionSelect", "compare", "isInteger", "smaller", "smallerEq", "larger"], jy = /* @__PURE__ */ P(Mv, q7, (e) => {
  var {
    typed: r,
    bignumber: t,
    add: n,
    subtract: a,
    divide: i,
    multiply: o,
    partitionSelect: l,
    compare: u,
    isInteger: s,
    smaller: c,
    smallerEq: f,
    larger: d
  } = e, p = Wl({
    typed: r,
    isInteger: s
  });
  return r(Mv, {
    "Array | Matrix, number | BigNumber": (A, h) => v(A, h, !1),
    "Array | Matrix, number | BigNumber, number": (A, h, x) => m(A, h, !1, x, v),
    "Array | Matrix, number | BigNumber, boolean": v,
    "Array | Matrix, number | BigNumber, boolean, number": (A, h, x, w) => m(A, h, x, w, v),
    "Array | Matrix, Array | Matrix": (A, h) => b(A, h, !1),
    "Array | Matrix, Array | Matrix, number": (A, h, x) => m(A, h, !1, x, b),
    "Array | Matrix, Array | Matrix, boolean": b,
    "Array | Matrix, Array | Matrix, boolean, number": (A, h, x, w) => m(A, h, x, w, b)
  });
  function m(A, h, x, w, g) {
    return p(A, w, (D) => g(D, h, x));
  }
  function v(A, h, x) {
    var w, g = A.valueOf();
    if (c(h, 0))
      throw new Error("N/prob must be non-negative");
    if (f(h, 1))
      return We(h) ? y(g, h, x) : t(y(g, h, x));
    if (d(h, 1)) {
      if (!s(h))
        throw new Error("N must be a positive integer");
      if (d(h, 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 D = n(h, 1);
      w = [];
      for (var E = 0; c(E, h); E++) {
        var N = i(E + 1, D);
        w.push(y(g, N, x));
      }
      return We(h) ? w : t(w);
    }
  }
  function b(A, h, x) {
    for (var w = A.valueOf(), g = h.valueOf(), D = [], E = 0; E < g.length; ++E)
      D.push(y(w, g[E], x));
    return D;
  }
  function y(A, h, x) {
    var w = sr(A), g = w.length;
    if (g === 0)
      throw new Error("Cannot calculate quantile of an empty sequence");
    var D = We(h) ? h * (g - 1) : h.times(g - 1), E = We(h) ? Math.floor(D) : D.floor().toNumber(), N = We(h) ? D % 1 : D.minus(E);
    if (s(D))
      return x ? w[D] : l(w, We(h) ? D : D.valueOf());
    var S, M;
    if (x)
      S = w[E], M = w[E + 1];
    else {
      M = l(w, E + 1), S = w[E];
      for (var F = 0; F < E; ++F)
        u(w[F], S) > 0 && (S = w[F]);
    }
    return n(o(S, a(1, N)), o(M, N));
  }
}), _v = "std", L7 = ["typed", "map", "sqrt", "variance"], Xy = /* @__PURE__ */ P(_v, L7, (e) => {
  var {
    typed: r,
    map: t,
    sqrt: n,
    variance: a
  } = e;
  return r(_v, {
    // std([a, b, c, d, ...])
    "Array | Matrix": i,
    // std([a, b, c, d, ...], normalization)
    "Array | Matrix, string": i,
    // std([a, b, c, c, ...], dim)
    "Array | Matrix, number | BigNumber": i,
    // std([a, b, c, c, ...], dim, normalization)
    "Array | Matrix, number | BigNumber, string": i,
    // std(a, b, c, d, ...)
    "...": function(l) {
      return i(l);
    }
  });
  function i(o, l) {
    if (o.length === 0)
      throw new SyntaxError("Function std requires one or more parameters (0 provided)");
    try {
      var u = a.apply(null, arguments);
      return At(u) ? t(u, n) : n(u);
    } catch (s) {
      throw s instanceof TypeError && s.message.includes(" variance") ? new TypeError(s.message.replace(" variance", " std")) : s;
    }
  }
}), Fv = "corr", U7 = ["typed", "matrix", "mean", "sqrt", "sum", "add", "subtract", "multiply", "pow", "divide"], k7 = /* @__PURE__ */ P(Fv, U7, (e) => {
  var {
    typed: r,
    matrix: t,
    sqrt: n,
    sum: a,
    add: i,
    subtract: o,
    multiply: l,
    pow: u,
    divide: s
  } = e;
  return r(Fv, {
    "Array, Array": function(p, m) {
      return c(p, m);
    },
    "Matrix, Matrix": function(p, m) {
      var v = c(p.toArray(), m.toArray());
      return Array.isArray(v) ? t(v) : v;
    }
  });
  function c(d, p) {
    var m = [];
    if (Array.isArray(d[0]) && Array.isArray(p[0])) {
      if (d.length !== p.length)
        throw new SyntaxError("Dimension mismatch. Array A and B must have the same length.");
      for (var v = 0; v < d.length; v++) {
        if (d[v].length !== p[v].length)
          throw new SyntaxError("Dimension mismatch. Array A and B must have the same number of elements.");
        m.push(f(d[v], p[v]));
      }
      return m;
    } else {
      if (d.length !== p.length)
        throw new SyntaxError("Dimension mismatch. Array A and B must have the same number of elements.");
      return f(d, p);
    }
  }
  function f(d, p) {
    var m = d.length, v = a(d), b = a(p), y = d.reduce((g, D, E) => i(g, l(D, p[E])), 0), A = a(d.map((g) => u(g, 2))), h = a(p.map((g) => u(g, 2))), x = o(l(m, y), l(v, b)), w = n(l(o(l(m, A), u(v, 2)), o(l(m, h), u(b, 2))));
    return s(x, w);
  }
}), Tv = "combinations", V7 = ["typed"], H7 = /* @__PURE__ */ P(Tv, V7, (e) => {
  var {
    typed: r
  } = e;
  return r(Tv, {
    "number, number": jg,
    "BigNumber, BigNumber": function(n, a) {
      var i = n.constructor, o, l, u = n.minus(a), s = new i(1);
      if (!Ov(n) || !Ov(a))
        throw new TypeError("Positive integer value expected in function combinations");
      if (a.gt(n))
        throw new TypeError("k must be less than n in function combinations");
      if (o = s, a.lt(u))
        for (l = s; l.lte(u); l = l.plus(s))
          o = o.times(a.plus(l)).dividedBy(l);
      else
        for (l = s; l.lte(a); l = l.plus(s))
          o = o.times(u.plus(l)).dividedBy(l);
      return o;
    }
    // TODO: implement support for collection in combinations
  });
});
function Ov(e) {
  return e.isInteger() && e.gte(0);
}
var Bv = "combinationsWithRep", Z7 = ["typed"], G7 = /* @__PURE__ */ P(Bv, Z7, (e) => {
  var {
    typed: r
  } = e;
  return r(Bv, {
    "number, number": function(n, a) {
      if (!Oe(n) || n < 0)
        throw new TypeError("Positive integer value expected in function combinationsWithRep");
      if (!Oe(a) || a < 0)
        throw new TypeError("Positive integer value expected in function combinationsWithRep");
      if (n < 1)
        throw new TypeError("k must be less than or equal to n + k - 1");
      if (a < n - 1) {
        var i = wn(n, n + a - 1);
        return i / wn(1, a);
      }
      var o = wn(a + 1, n + a - 1);
      return o / wn(1, n - 1);
    },
    "BigNumber, BigNumber": function(n, a) {
      var i = n.constructor, o, l, u = new i(1), s = n.minus(u);
      if (!$v(n) || !$v(a))
        throw new TypeError("Positive integer value expected in function combinationsWithRep");
      if (n.lt(u))
        throw new TypeError("k must be less than or equal to n + k - 1 in function combinationsWithRep");
      if (o = u, a.lt(s))
        for (l = u; l.lte(s); l = l.plus(u))
          o = o.times(a.plus(l)).dividedBy(l);
      else
        for (l = u; l.lte(a); l = l.plus(u))
          o = o.times(s.plus(l)).dividedBy(l);
      return o;
    }
  });
});
function $v(e) {
  return e.isInteger() && e.gte(0);
}
var Iv = "gamma", W7 = ["typed", "config", "multiplyScalar", "pow", "BigNumber", "Complex"], K7 = /* @__PURE__ */ P(Iv, W7, (e) => {
  var {
    typed: r,
    config: t,
    multiplyScalar: n,
    pow: a,
    BigNumber: i,
    Complex: o
  } = e;
  function l(s) {
    if (s.im === 0)
      return Qo(s.re);
    if (s.re < 0.5) {
      var c = new o(1 - s.re, -s.im), f = new o(Math.PI * s.re, Math.PI * s.im);
      return new o(Math.PI).div(f.sin()).div(l(c));
    }
    s = new o(s.re - 1, s.im);
    for (var d = new o(ka[0], 0), p = 1; p < ka.length; ++p) {
      var m = new o(ka[p], 0);
      d = d.add(m.div(s.add(p)));
    }
    var v = new o(s.re + Qg + 0.5, s.im), b = Math.sqrt(2 * Math.PI), y = v.pow(s.add(0.5)), A = v.neg().exp();
    return d.mul(b).mul(y).mul(A);
  }
  return r(Iv, {
    number: Qo,
    Complex: l,
    BigNumber: function(c) {
      if (c.isInteger())
        return c.isNegative() || c.isZero() ? new i(1 / 0) : u(c.minus(1));
      if (!c.isFinite())
        return new i(c.isNegative() ? NaN : 1 / 0);
      throw new Error("Integer BigNumber expected");
    }
  });
  function u(s) {
    if (s < 8)
      return new i([1, 1, 2, 6, 24, 120, 720, 5040][s]);
    var c = t.precision + (Math.log(s.toNumber()) | 0), f = i.clone({
      precision: c
    });
    if (s % 2 === 1)
      return s.times(u(new i(s - 1)));
    for (var d = s, p = new f(s), m = s.toNumber(); d > 2; )
      d -= 2, m += d, p = p.times(m);
    return new i(p.toPrecision(i.precision));
  }
}), Rv = "lgamma", J7 = ["Complex", "typed"], Y7 = /* @__PURE__ */ P(Rv, J7, (e) => {
  var {
    Complex: r,
    typed: t
  } = e, n = 7, a = 7, i = [-0.029550653594771242, 0.00641025641025641, -0.0019175269175269176, 8417508417508417e-19, -5952380952380953e-19, 7936507936507937e-19, -0.002777777777777778, 0.08333333333333333];
  return t(Rv, {
    number: es,
    Complex: o,
    BigNumber: function() {
      throw new Error("mathjs doesn't yet provide an implementation of the algorithm lgamma for BigNumber");
    }
  });
  function o(s) {
    var c = 6.283185307179586, f = 1.1447298858494002, d = 0.1;
    if (s.isNaN())
      return new r(NaN, NaN);
    if (s.im === 0)
      return new r(es(s.re), 0);
    if (s.re >= n || Math.abs(s.im) >= a)
      return l(s);
    if (s.re <= d) {
      var p = HC(c, s.im) * Math.floor(0.5 * s.re + 0.25), m = s.mul(Math.PI).sin().log(), v = o(new r(1 - s.re, -s.im));
      return new r(f, p).sub(m).sub(v);
    } else return s.im >= 0 ? u(s) : u(s.conjugate()).conjugate();
  }
  function l(s) {
    for (var c = s.sub(0.5).mul(s.log()).sub(s).add(ey), f = new r(1, 0).div(s), d = f.div(s), p = i[0], m = i[1], v = 2 * d.re, b = d.re * d.re + d.im * d.im, y = 2; y < 8; y++) {
      var A = m;
      m = -b * p + i[y], p = v * p + A;
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    var h = f.mul(d.mul(p).add(m));
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    matrix: t,
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    sum: a,
    multiply: i,
    map: o,
    dotDivide: l,
    log: u,
    isNumeric: s
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      return c(d, p);
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      throw new Error("second object must be one dimensional");
    if (p !== m)
      throw new Error("Length of two vectors must be equal");
    var v = a(f);
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      throw new Error("Sum of elements in first object must be non zero");
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    add: t,
    divide: n,
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    isPositive: l
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});
function Uv(e) {
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ec.exports;
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    xa,
    e
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})(ec);
var iz = ec.exports, rc = { exports: {} };
rc.exports;
(function(e) {
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        u.x ^= s.charCodeAt(c) | 0, u.next();
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    function i(l, u) {
      return u.x = l.x, u.y = l.y, u.z = l.z, u.w = l.w, u;
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    function o(l, u) {
      var s = new a(l), c = u && u.state, f = function() {
        return (s.next() >>> 0) / 4294967296;
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        return i(s, {});
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    xa,
    e
  );
})(rc);
var oz = rc.exports, tc = { exports: {} };
tc.exports;
(function(e) {
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    function a(l) {
      var u = this, s = "";
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        return (s.next() >>> 0) / 4294967296;
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        return i(s, {});
      }), f;
    }
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    xa,
    e
  );
})(tc);
var sz = tc.exports, nc = { exports: {} };
nc.exports;
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        return (s.next() >>> 0) / 4294967296;
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      return f.double = function() {
        do
          var d = s.next() >>> 11, p = (s.next() >>> 0) / 4294967296, m = (d + p) / (1 << 21);
        while (m === 0);
        return m;
      }, f.int32 = s.next, f.quick = f, c && (c.x && i(c, s), f.state = function() {
        return i(s, {});
      }), f;
    }
    t && t.exports ? t.exports = o : this.xorshift7 = o;
  })(
    xa,
    e
  );
})(nc);
var uz = nc.exports, ac = { exports: {} };
ac.exports;
(function(e) {
  (function(r, t, n) {
    function a(l) {
      var u = this;
      u.next = function() {
        var c = u.w, f = u.X, d = u.i, p, m;
        return u.w = c = c + 1640531527 | 0, m = f[d + 34 & 127], p = f[d = d + 1 & 127], m ^= m << 13, p ^= p << 17, m ^= m >>> 15, p ^= p >>> 12, m = f[d] = m ^ p, u.i = d, m + (c ^ c >>> 16) | 0;
      };
      function s(c, f) {
        var d, p, m, v, b, y = [], A = 128;
        for (f === (f | 0) ? (p = f, f = null) : (f = f + "\0", p = 0, A = Math.max(A, f.length)), m = 0, v = -32; v < A; ++v)
          f && (p ^= f.charCodeAt((v + 32) % f.length)), v === 0 && (b = p), p ^= p << 10, p ^= p >>> 15, p ^= p << 4, p ^= p >>> 13, v >= 0 && (b = b + 1640531527 | 0, d = y[v & 127] ^= p + b, m = d == 0 ? m + 1 : 0);
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        do
          var d = s.next() >>> 11, p = (s.next() >>> 0) / 4294967296, m = (d + p) / (1 << 21);
        while (m === 0);
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      }, f.int32 = s.next, f.quick = f, c && (c.X && i(c, s), f.state = function() {
        return i(s, {});
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    }
    t && t.exports ? t.exports = o : this.xor4096 = o;
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    xa,
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})(ac);
var lz = ac.exports, ic = { exports: {} };
ic.exports;
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        return (s.next() >>> 0) / 4294967296;
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        return i(s, {});
      }), f;
    }
    t && t.exports ? t.exports = o : this.tychei = o;
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    xa,
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var cz = ic.exports, Qy = { exports: {} };
const fz = {}, dz = /* @__PURE__ */ Object.freeze(/* @__PURE__ */ Object.defineProperty({
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      var g = [], D = typeof x, E;
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          }
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    // global: `self` in browsers (including strict mode and web workers),
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    typeof self < "u" ? self : xa,
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})(Qy);
var mz = Qy.exports, vz = iz, hz = oz, gz = sz, yz = uz, bz = lz, wz = cz, Ea = mz;
Ea.alea = vz;
Ea.xor128 = hz;
Ea.xorwow = gz;
Ea.xorshift7 = yz;
Ea.xor4096 = bz;
Ea.tychei = wz;
var xz = Ea;
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var Az = /* @__PURE__ */ e1(Date.now());
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    for (var b = o.length, y = [], A; y.length < u; ) {
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        for (var h = a() * p, x = 0, w = o.length; x < w; x++)
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            break;
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});
function oc(e, r) {
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  else
    for (var i = 0, o = e.shift(); i < o; i++)
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var Vv = "random", Ez = ["typed", "config", "?on"], Sz = /* @__PURE__ */ P(Vv, Ez, (e) => {
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    l.randomSeed !== u.randomSeed && (a = ni(l.randomSeed));
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}), Zv = "stirlingS2", _z = ["typed", "addScalar", "subtractScalar", "multiplyScalar", "divideScalar", "pow", "factorial", "combinations", "isNegative", "isInteger", "number", "?bignumber", "larger"], Fz = /* @__PURE__ */ P(Zv, _z, (e) => {
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    combinations: u,
    isNegative: s,
    isInteger: c,
    number: f,
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    larger: p
  } = e, m = [], v = [];
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          for (var N = x[E], S = x[E - 1], M = N.length; M <= E && M <= D; ++M)
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    "number | BigNumber": function(l) {
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}), Kv = "composition", Iz = ["typed", "addScalar", "combinations", "isNegative", "isPositive", "isInteger", "larger"], Rz = /* @__PURE__ */ P(Kv, Iz, (e) => {
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        throw new TypeError("k must be less than or equal to n in function composition");
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}), Jv = "leafCount", Pz = ["parse", "typed"], zz = /* @__PURE__ */ P(Jv, Pz, (e) => {
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function Yv(e) {
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function cs(e) {
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}
function jv(e, r) {
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function gu(e) {
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    var t = arguments[r] != null ? arguments[r] : {};
    r % 2 ? jv(Object(t), !0).forEach(function(n) {
      Rr(e, n, t[n]);
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      Object.defineProperty(e, n, Object.getOwnPropertyDescriptor(t, n));
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}
var qz = "simplifyUtil", Lz = ["FunctionNode", "OperatorNode", "SymbolNode"], sc = /* @__PURE__ */ P(qz, Lz, (e) => {
  var {
    FunctionNode: r,
    OperatorNode: t,
    SymbolNode: n
  } = e, a = !0, i = !1, o = "defaultF", l = {
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    add: {
      trivial: a,
      total: a,
      commutative: a,
      associative: a
    },
    /**/
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      trivial: a,
      total: a,
      commutative: a,
      associative: a
    },
    /* */
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      trivial: i,
      total: a,
      commutative: i,
      associative: i
    },
    /* */
    multiply: {
      trivial: a,
      total: a,
      commutative: a,
      associative: a
    },
    /*   */
    divide: {
      trivial: i,
      total: a,
      commutative: i,
      associative: i
    },
    /*    */
    paren: {
      trivial: a,
      total: a,
      commutative: a,
      associative: i
    },
    /* */
    defaultF: {
      trivial: i,
      total: a,
      commutative: i,
      associative: i
    }
  }, u = {
    divide: {
      total: i
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    log: {
      total: i
    }
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    subtract: {
      total: i
    },
    abs: {
      trivial: a
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    log: {
      total: a
    }
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      return h;
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          E = w([E, h.args.shift()]);
        h.args = E.args;
      }
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  function A(h) {
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      try {
        return new t(h.op, h.fn, x, h.implicit);
      } catch (w) {
        return console.error(w), [];
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    } : function(x) {
      return new r(new n(h.name), x);
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    createMakeNodeFunction: A,
    hasProperty: c,
    isCommutative: f,
    isAssociative: d,
    mergeContext: p,
    flatten: m,
    allChildren: v,
    unflattenr: b,
    unflattenl: y,
    defaultContext: l,
    realContext: u,
    positiveContext: s
  };
}), Uz = "simplify", kz = ["typed", "parse", "equal", "resolve", "simplifyConstant", "simplifyCore", "AccessorNode", "ArrayNode", "ConstantNode", "FunctionNode", "IndexNode", "ObjectNode", "OperatorNode", "ParenthesisNode", "SymbolNode"], Vz = /* @__PURE__ */ P(Uz, kz, (e) => {
  var {
    typed: r,
    parse: t,
    equal: n,
    resolve: a,
    simplifyConstant: i,
    simplifyCore: o,
    AccessorNode: l,
    ArrayNode: u,
    ConstantNode: s,
    FunctionNode: c,
    IndexNode: f,
    ObjectNode: d,
    OperatorNode: p,
    ParenthesisNode: m,
    SymbolNode: v
  } = e, {
    hasProperty: b,
    isCommutative: y,
    isAssociative: A,
    mergeContext: h,
    flatten: x,
    unflattenr: w,
    unflattenl: g,
    createMakeNodeFunction: D,
    defaultContext: E,
    realContext: N,
    positiveContext: S
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    FunctionNode: c,
    OperatorNode: p,
    SymbolNode: v
  });
  r.addConversion({
    from: "Object",
    to: "Map",
    convert: La
  });
  var M = r("simplify", {
    Node: z,
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    "Node, Array, Map": z,
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  function F(q) {
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  var $ = {
    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
    // null: false,
    // undefined: false,
    // version: false,
  };
  M.rules = [
    o,
    // { l: 'n+0', r: 'n' },     // simplifyCore
    // { l: 'n^0', r: '1' },     // simplifyCore
    // { l: '0*n', r: '0' },     // simplifyCore
    // { l: 'n/n', r: '1'},      // simplifyCore
    // { l: 'n^1', r: 'n' },     // simplifyCore
    // { l: '+n1', r:'n1' },     // simplifyCore
    // { l: 'n--n1', r:'n+n1' }, // simplifyCore
    {
      l: "log(e)",
      r: "1"
    },
    // temporary rules
    // Note initially we tend constants to the right because like-term
    // collection prefers the left, and we would rather collect nonconstants
    {
      s: "n-n1 -> n+-n1",
      // temporarily replace 'subtract' so we can further flatten the 'add' operator
      assuming: {
        subtract: {
          total: !0
        }
      }
    },
    {
      s: "n-n -> 0",
      // partial alternative when we can't always subtract
      assuming: {
        subtract: {
          total: !1
        }
      }
    },
    {
      s: "-(cl*v) -> v * (-cl)",
      // make non-constant terms positive
      assuming: {
        multiply: {
          commutative: !0
        },
        subtract: {
          total: !0
        }
      }
    },
    {
      s: "-(cl*v) -> (-cl) * v",
      // non-commutative version, part 1
      assuming: {
        multiply: {
          commutative: !1
        },
        subtract: {
          total: !0
        }
      }
    },
    {
      s: "-(v*cl) -> v * (-cl)",
      // non-commutative version, part 2
      assuming: {
        multiply: {
          commutative: !1
        },
        subtract: {
          total: !0
        }
      }
    },
    {
      l: "-(n1/n2)",
      r: "-n1/n2"
    },
    {
      l: "-v",
      r: "v * (-1)"
    },
    // finish making non-constant terms positive
    {
      l: "(n1 + n2)*(-1)",
      r: "n1*(-1) + n2*(-1)",
      repeat: !0
    },
    // expand negations to achieve as much sign cancellation as possible
    {
      l: "n/n1^n2",
      r: "n*n1^-n2"
    },
    // temporarily replace 'divide' so we can further flatten the 'multiply' operator
    {
      l: "n/n1",
      r: "n*n1^-1"
    },
    {
      s: "(n1*n2)^n3 -> n1^n3 * n2^n3",
      assuming: {
        multiply: {
          commutative: !0
        }
      }
    },
    {
      s: "(n1*n2)^(-1) -> n2^(-1) * n1^(-1)",
      assuming: {
        multiply: {
          commutative: !1
        }
      }
    },
    // expand nested exponentiation
    {
      s: "(n ^ n1) ^ n2 -> n ^ (n1 * n2)",
      assuming: {
        divide: {
          total: !0
        }
      }
      // 1/(1/n) = n needs 1/n to exist
    },
    // collect like factors; into a sum, only do this for nonconstants
    {
      l: " vd   * ( vd   * n1 + n2)",
      r: "vd^2       * n1 +  vd   * n2"
    },
    {
      s: " vd   * (vd^n4 * n1 + n2)   ->  vd^(1+n4)  * n1 +  vd   * n2",
      assuming: {
        divide: {
          total: !0
        }
      }
      // v*1/v = v^(1+-1) needs 1/v
    },
    {
      s: "vd^n3 * ( vd   * n1 + n2)   ->  vd^(n3+1)  * n1 + vd^n3 * n2",
      assuming: {
        divide: {
          total: !0
        }
      }
    },
    {
      s: "vd^n3 * (vd^n4 * n1 + n2)   ->  vd^(n3+n4) * n1 + vd^n3 * n2",
      assuming: {
        divide: {
          total: !0
        }
      }
    },
    {
      l: "n*n",
      r: "n^2"
    },
    {
      s: "n * n^n1 -> n^(n1+1)",
      assuming: {
        divide: {
          total: !0
        }
      }
      // n*1/n = n^(-1+1) needs 1/n
    },
    {
      s: "n^n1 * n^n2 -> n^(n1+n2)",
      assuming: {
        divide: {
          total: !0
        }
      }
      // ditto for n^2*1/n^2
    },
    // Unfortunately, to deal with more complicated cancellations, it
    // becomes necessary to simplify constants twice per pass. It's not
    // terribly expensive compared to matching rules, so this should not
    // pose a performance problem.
    i,
    // First: before collecting like terms
    // collect like terms
    {
      s: "n+n -> 2*n",
      assuming: {
        add: {
          total: !0
        }
      }
      // 2 = 1 + 1 needs to exist
    },
    {
      l: "n+-n",
      r: "0"
    },
    {
      l: "vd*n + vd",
      r: "vd*(n+1)"
    },
    // NOTE: leftmost position is special:
    {
      l: "n3*n1 + n3*n2",
      r: "n3*(n1+n2)"
    },
    // All sub-monomials tried there.
    {
      l: "n3^(-n4)*n1 +   n3  * n2",
      r: "n3^(-n4)*(n1 + n3^(n4+1) *n2)"
    },
    {
      l: "n3^(-n4)*n1 + n3^n5 * n2",
      r: "n3^(-n4)*(n1 + n3^(n4+n5)*n2)"
    },
    // noncommutative additional cases (term collection & factoring)
    {
      s: "n*vd + vd -> (n+1)*vd",
      assuming: {
        multiply: {
          commutative: !1
        }
      }
    },
    {
      s: "vd + n*vd -> (1+n)*vd",
      assuming: {
        multiply: {
          commutative: !1
        }
      }
    },
    {
      s: "n1*n3 + n2*n3 -> (n1+n2)*n3",
      assuming: {
        multiply: {
          commutative: !1
        }
      }
    },
    {
      s: "n^n1 * n -> n^(n1+1)",
      assuming: {
        divide: {
          total: !0
        },
        multiply: {
          commutative: !1
        }
      }
    },
    {
      s: "n1*n3^(-n4) + n2 * n3    -> (n1 + n2*n3^(n4 +  1))*n3^(-n4)",
      assuming: {
        multiply: {
          commutative: !1
        }
      }
    },
    {
      s: "n1*n3^(-n4) + n2 * n3^n5 -> (n1 + n2*n3^(n4 + n5))*n3^(-n4)",
      assuming: {
        multiply: {
          commutative: !1
        }
      }
    },
    {
      l: "n*cd + cd",
      r: "(n+1)*cd"
    },
    {
      s: "cd*n + cd -> cd*(n+1)",
      assuming: {
        multiply: {
          commutative: !1
        }
      }
    },
    {
      s: "cd + cd*n -> cd*(1+n)",
      assuming: {
        multiply: {
          commutative: !1
        }
      }
    },
    i,
    // Second: before returning expressions to "standard form"
    // make factors positive (and undo 'make non-constant terms positive')
    {
      s: "(-n)*n1 -> -(n*n1)",
      assuming: {
        subtract: {
          total: !0
        }
      }
    },
    {
      s: "n1*(-n) -> -(n1*n)",
      // in case * non-commutative
      assuming: {
        subtract: {
          total: !0
        },
        multiply: {
          commutative: !1
        }
      }
    },
    // final ordering of constants
    {
      s: "ce+ve -> ve+ce",
      assuming: {
        add: {
          commutative: !0
        }
      },
      imposeContext: {
        add: {
          commutative: !1
        }
      }
    },
    {
      s: "vd*cd -> cd*vd",
      assuming: {
        multiply: {
          commutative: !0
        }
      },
      imposeContext: {
        multiply: {
          commutative: !1
        }
      }
    },
    // undo temporary rules
    // { l: '(-1) * n', r: '-n' }, // #811 added test which proved this is redundant
    {
      l: "n+-n1",
      r: "n-n1"
    },
    // undo replace 'subtract'
    {
      l: "n+-(n1)",
      r: "n-(n1)"
    },
    {
      s: "n*(n1^-1) -> n/n1",
      // undo replace 'divide'; for * commutative
      assuming: {
        multiply: {
          commutative: !0
        }
      }
      // o.w. / not conventional
    },
    {
      s: "n*n1^-n2 -> n/n1^n2",
      assuming: {
        multiply: {
          commutative: !0
        }
      }
      // o.w. / not conventional
    },
    {
      s: "n^-1 -> 1/n",
      assuming: {
        multiply: {
          commutative: !0
        }
      }
      // o.w. / not conventional
    },
    {
      l: "n^1",
      r: "n"
    },
    // can be produced by power cancellation
    {
      s: "n*(n1/n2) -> (n*n1)/n2",
      // '*' before '/'
      assuming: {
        multiply: {
          associative: !0
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      }
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    {
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          commutative: !0
        }
      }
    },
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        }
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    AccessorNode: l,
    ArrayNode: u,
    ConstantNode: s,
    FunctionNode: c,
    IndexNode: f,
    ObjectNode: d,
    OperatorNode: p,
    SymbolNode: m
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    FunctionNode: c,
    OperatorNode: p,
    SymbolNode: m
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      case "ParenthesisNode":
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    divide: u,
    pow: s,
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    ArrayNode: f,
    ConstantNode: d,
    FunctionNode: p,
    IndexNode: m,
    ObjectNode: v,
    OperatorNode: b,
    ParenthesisNode: y,
    SymbolNode: A
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        Q[se] = S(C.properties[se], F);
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    typed: r,
    parse: t,
    ConstantNode: n,
    FunctionNode: a,
    OperatorNode: i,
    ParenthesisNode: o
  } = e;
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        var p = new Set(c);
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  return r("resolve", {
    Node: l,
    "Node, Map | null | undefined": l,
    "Node, Object": (u, s) => l(u, La(s)),
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    // we get nice error messages if one entry in the array has wrong type.
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    "Array | Matrix, null | undefined": r.referToSelf((u) => (s) => s.map((c) => u(c))),
    "Array, Object": r.referTo("Array,Map", (u) => (s, c) => u(s, La(c))),
    "Matrix, Object": r.referTo("Matrix,Map", (u) => (s, c) => u(s, La(c))),
    "Array | Matrix, Map": r.referToSelf((u) => (s, c) => s.map((f) => u(f, c)))
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}), Qv = "symbolicEqual", Xz = ["parse", "simplify", "typed", "OperatorNode"], Qz = /* @__PURE__ */ P(Qv, Xz, (e) => {
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    parse: r,
    simplify: t,
    typed: n,
    OperatorNode: a
  } = e;
  function i(o, l) {
    var u = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : {}, s = new a("-", "subtract", [o, l]), c = t(s, {}, u);
    return nr(c) && !c.value;
  }
  return n(Qv, {
    "Node, Node": i,
    "Node, Node, Object": i
  });
}), eh = "derivative", eq = ["typed", "config", "parse", "simplify", "equal", "isZero", "numeric", "ConstantNode", "FunctionNode", "OperatorNode", "ParenthesisNode", "SymbolNode"], rq = /* @__PURE__ */ P(eh, eq, (e) => {
  var {
    typed: r,
    config: t,
    parse: n,
    simplify: a,
    equal: i,
    isZero: o,
    numeric: l,
    ConstantNode: u,
    FunctionNode: s,
    OperatorNode: c,
    ParenthesisNode: f,
    SymbolNode: d
  } = e;
  function p(x, w) {
    var g = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : {
      simplify: !0
    }, D = {};
    y(D, x, w.name);
    var E = A(x, D);
    return g.simplify ? a(E) : E;
  }
  function m(x) {
    var w = n(x);
    if (!w.isSymbolNode)
      throw new TypeError("Invalid variable. " + "Cannot parse ".concat(JSON.stringify(x), " into a variable in function derivative"));
    return w;
  }
  var v = r(eh, {
    "Node, SymbolNode": p,
    "Node, SymbolNode, Object": p,
    "Node, string": (x, w) => p(x, m(w)),
    "Node, string, Object": (x, w, g) => p(x, m(w), g)
    /* TODO: implement and test syntax with order of derivatives -> implement as an option {order: number}
    'Node, SymbolNode, ConstantNode': function (expr, variable, {order}) {
      let res = expr
      for (let i = 0; i < order; i++) {
        let constNodes = {}
        constTag(constNodes, expr, variable.name)
        res = _derivative(res, constNodes)
      }
      return res
    }
    */
  });
  v._simplify = !0, v.toTex = function(x) {
    return b.apply(null, x.args);
  };
  var b = r("_derivTex", {
    "Node, SymbolNode": function(w, g) {
      return nr(w) && yr(w.value) === "string" ? b(n(w.value).toString(), g.toString(), 1) : b(w.toTex(), g.toString(), 1);
    },
    "Node, ConstantNode": function(w, g) {
      if (yr(g.value) === "string")
        return b(w, n(g.value));
      throw new Error("The second parameter to 'derivative' is a non-string constant");
    },
    "Node, SymbolNode, ConstantNode": function(w, g, D) {
      return b(w.toString(), g.name, D.value);
    },
    "string, string, number": function(w, g, D) {
      var E;
      return D === 1 ? E = "{d\\over d" + g + "}" : E = "{d^{" + D + "}\\over d" + g + "^{" + D + "}}", E + "\\left[".concat(w, "\\right]");
    }
  }), y = r("constTag", {
    "Object, ConstantNode, string": function(w, g) {
      return w[g] = !0, !0;
    },
    "Object, SymbolNode, string": function(w, g, D) {
      return g.name !== D ? (w[g] = !0, !0) : !1;
    },
    "Object, ParenthesisNode, string": function(w, g, D) {
      return y(w, g.content, D);
    },
    "Object, FunctionAssignmentNode, string": function(w, g, D) {
      return g.params.includes(D) ? y(w, g.expr, D) : (w[g] = !0, !0);
    },
    "Object, FunctionNode | OperatorNode, string": function(w, g, D) {
      if (g.args.length > 0) {
        for (var E = y(w, g.args[0], D), N = 1; N < g.args.length; ++N)
          E = y(w, g.args[N], D) && E;
        if (E)
          return w[g] = !0, !0;
      }
      return !1;
    }
  }), A = r("_derivative", {
    "ConstantNode, Object": function(w) {
      return h(0);
    },
    "SymbolNode, Object": function(w, g) {
      return g[w] !== void 0 ? h(0) : h(1);
    },
    "ParenthesisNode, Object": function(w, g) {
      return new f(A(w.content, g));
    },
    "FunctionAssignmentNode, Object": function(w, g) {
      return g[w] !== void 0 ? h(0) : A(w.expr, g);
    },
    "FunctionNode, Object": function(w, g) {
      if (g[w] !== void 0)
        return h(0);
      var D = w.args[0], E, N = !1, S = !1, M;
      switch (w.name) {
        case "cbrt":
          N = !0, M = new c("*", "multiply", [h(3), new c("^", "pow", [D, new c("/", "divide", [h(2), h(3)])])]);
          break;
        case "sqrt":
        case "nthRoot":
          if (w.args.length === 1)
            N = !0, M = new c("*", "multiply", [h(2), new s("sqrt", [D])]);
          else if (w.args.length === 2)
            return E = new c("/", "divide", [h(1), w.args[1]]), g[E] = g[w.args[1]], A(new c("^", "pow", [D, E]), g);
          break;
        case "log10":
          E = h(10);
        case "log":
          if (!E && w.args.length === 1)
            M = D.clone(), N = !0;
          else if (w.args.length === 1 && E || w.args.length === 2 && g[w.args[1]] !== void 0)
            M = new c("*", "multiply", [D.clone(), new s("log", [E || w.args[1]])]), N = !0;
          else if (w.args.length === 2)
            return A(new c("/", "divide", [new s("log", [D]), new s("log", [w.args[1]])]), g);
          break;
        case "pow":
          if (w.args.length === 2)
            return g[E] = g[w.args[1]], A(new c("^", "pow", [D, w.args[1]]), g);
          break;
        case "exp":
          M = new s("exp", [D.clone()]);
          break;
        case "sin":
          M = new s("cos", [D.clone()]);
          break;
        case "cos":
          M = new c("-", "unaryMinus", [new s("sin", [D.clone()])]);
          break;
        case "tan":
          M = new c("^", "pow", [new s("sec", [D.clone()]), h(2)]);
          break;
        case "sec":
          M = new c("*", "multiply", [w, new s("tan", [D.clone()])]);
          break;
        case "csc":
          S = !0, M = new c("*", "multiply", [w, new s("cot", [D.clone()])]);
          break;
        case "cot":
          S = !0, M = new c("^", "pow", [new s("csc", [D.clone()]), h(2)]);
          break;
        case "asin":
          N = !0, M = new s("sqrt", [new c("-", "subtract", [h(1), new c("^", "pow", [D.clone(), h(2)])])]);
          break;
        case "acos":
          N = !0, S = !0, M = new s("sqrt", [new c("-", "subtract", [h(1), new c("^", "pow", [D.clone(), h(2)])])]);
          break;
        case "atan":
          N = !0, M = new c("+", "add", [new c("^", "pow", [D.clone(), h(2)]), h(1)]);
          break;
        case "asec":
          N = !0, M = new c("*", "multiply", [new s("abs", [D.clone()]), new s("sqrt", [new c("-", "subtract", [new c("^", "pow", [D.clone(), h(2)]), h(1)])])]);
          break;
        case "acsc":
          N = !0, S = !0, M = new c("*", "multiply", [new s("abs", [D.clone()]), new s("sqrt", [new c("-", "subtract", [new c("^", "pow", [D.clone(), h(2)]), h(1)])])]);
          break;
        case "acot":
          N = !0, S = !0, M = new c("+", "add", [new c("^", "pow", [D.clone(), h(2)]), h(1)]);
          break;
        case "sinh":
          M = new s("cosh", [D.clone()]);
          break;
        case "cosh":
          M = new s("sinh", [D.clone()]);
          break;
        case "tanh":
          M = new c("^", "pow", [new s("sech", [D.clone()]), h(2)]);
          break;
        case "sech":
          S = !0, M = new c("*", "multiply", [w, new s("tanh", [D.clone()])]);
          break;
        case "csch":
          S = !0, M = new c("*", "multiply", [w, new s("coth", [D.clone()])]);
          break;
        case "coth":
          S = !0, M = new c("^", "pow", [new s("csch", [D.clone()]), h(2)]);
          break;
        case "asinh":
          N = !0, M = new s("sqrt", [new c("+", "add", [new c("^", "pow", [D.clone(), h(2)]), h(1)])]);
          break;
        case "acosh":
          N = !0, M = new s("sqrt", [new c("-", "subtract", [new c("^", "pow", [D.clone(), h(2)]), h(1)])]);
          break;
        case "atanh":
          N = !0, M = new c("-", "subtract", [h(1), new c("^", "pow", [D.clone(), h(2)])]);
          break;
        case "asech":
          N = !0, S = !0, M = new c("*", "multiply", [D.clone(), new s("sqrt", [new c("-", "subtract", [h(1), new c("^", "pow", [D.clone(), h(2)])])])]);
          break;
        case "acsch":
          N = !0, S = !0, M = new c("*", "multiply", [new s("abs", [D.clone()]), new s("sqrt", [new c("+", "add", [new c("^", "pow", [D.clone(), h(2)]), h(1)])])]);
          break;
        case "acoth":
          N = !0, S = !0, M = new c("-", "subtract", [h(1), new c("^", "pow", [D.clone(), h(2)])]);
          break;
        case "abs":
          M = new c("/", "divide", [new s(new d("abs"), [D.clone()]), D.clone()]);
          break;
        case "gamma":
        default:
          throw new Error('Cannot process function "' + w.name + '" in derivative: the function is not supported, undefined, or the number of arguments passed to it are not supported');
      }
      var F, $;
      N ? (F = "/", $ = "divide") : (F = "*", $ = "multiply");
      var I = A(D, g);
      return S && (I = new c("-", "unaryMinus", [I])), new c(F, $, [I, M]);
    },
    "OperatorNode, Object": function(w, g) {
      if (g[w] !== void 0)
        return h(0);
      if (w.op === "+")
        return new c(w.op, w.fn, w.args.map(function(C) {
          return A(C, g);
        }));
      if (w.op === "-") {
        if (w.isUnary())
          return new c(w.op, w.fn, [A(w.args[0], g)]);
        if (w.isBinary())
          return new c(w.op, w.fn, [A(w.args[0], g), A(w.args[1], g)]);
      }
      if (w.op === "*") {
        var D = w.args.filter(function(C) {
          return g[C] !== void 0;
        });
        if (D.length > 0) {
          var E = w.args.filter(function(C) {
            return g[C] === void 0;
          }), N = E.length === 1 ? E[0] : new c("*", "multiply", E), S = D.concat(A(N, g));
          return new c("*", "multiply", S);
        }
        return new c("+", "add", w.args.map(function(C) {
          return new c("*", "multiply", w.args.map(function(_) {
            return _ === C ? A(_, g) : _.clone();
          }));
        }));
      }
      if (w.op === "/" && w.isBinary()) {
        var M = w.args[0], F = w.args[1];
        return g[F] !== void 0 ? new c("/", "divide", [A(M, g), F]) : g[M] !== void 0 ? new c("*", "multiply", [new c("-", "unaryMinus", [M]), new c("/", "divide", [A(F, g), new c("^", "pow", [F.clone(), h(2)])])]) : new c("/", "divide", [new c("-", "subtract", [new c("*", "multiply", [A(M, g), F.clone()]), new c("*", "multiply", [M.clone(), A(F, g)])]), new c("^", "pow", [F.clone(), h(2)])]);
      }
      if (w.op === "^" && w.isBinary()) {
        var $ = w.args[0], I = w.args[1];
        if (g[$] !== void 0)
          return nr($) && (o($.value) || i($.value, 1)) ? h(0) : new c("*", "multiply", [w, new c("*", "multiply", [new s("log", [$.clone()]), A(I.clone(), g)])]);
        if (g[I] !== void 0) {
          if (nr(I)) {
            if (o(I.value))
              return h(0);
            if (i(I.value, 1))
              return A($, g);
          }
          var B = new c("^", "pow", [$.clone(), new c("-", "subtract", [I, h(1)])]);
          return new c("*", "multiply", [I.clone(), new c("*", "multiply", [A($, g), B])]);
        }
        return new c("*", "multiply", [new c("^", "pow", [$.clone(), I.clone()]), new c("+", "add", [new c("*", "multiply", [A($, g), new c("/", "divide", [I.clone(), $.clone()])]), new c("*", "multiply", [A(I, g), new s("log", [$.clone()])])])]);
      }
      throw new Error('Cannot process operator "' + w.op + '" in derivative: the operator is not supported, undefined, or the number of arguments passed to it are not supported');
    }
  });
  function h(x, w) {
    return new u(l(x, Qn(String(x), t)));
  }
  return v;
}), rh = "rationalize", tq = ["config", "typed", "equal", "isZero", "add", "subtract", "multiply", "divide", "pow", "parse", "simplifyConstant", "simplifyCore", "simplify", "?bignumber", "?fraction", "mathWithTransform", "matrix", "AccessorNode", "ArrayNode", "ConstantNode", "FunctionNode", "IndexNode", "ObjectNode", "OperatorNode", "SymbolNode", "ParenthesisNode"], nq = /* @__PURE__ */ P(rh, tq, (e) => {
  var {
    config: r,
    typed: t,
    equal: n,
    isZero: a,
    add: i,
    subtract: o,
    multiply: l,
    divide: u,
    pow: s,
    parse: c,
    simplifyConstant: f,
    simplifyCore: d,
    simplify: p,
    fraction: m,
    bignumber: v,
    mathWithTransform: b,
    matrix: y,
    AccessorNode: A,
    ArrayNode: h,
    ConstantNode: x,
    FunctionNode: w,
    IndexNode: g,
    ObjectNode: D,
    OperatorNode: E,
    SymbolNode: N,
    ParenthesisNode: S
  } = e;
  function M(C) {
    var _ = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : {}, z = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : !1, O = $(), W = F(C, _, !0, O.firstRules), X = W.variables.length, V = {
      exactFractions: !1
    }, R = {
      exactFractions: !0
    };
    if (C = W.expression, X >= 1) {
      C = I(C);
      var Q, se, re = !0, q = !1;
      C = p(C, O.firstRules, {}, V);
      for (var Z; se = re ? O.distrDivRules : O.sucDivRules, C = p(C, se, {}, R), re = !re, Z = C.toString(), Z !== Q; )
        q = !0, Q = Z;
      q && (C = p(C, O.firstRulesAgain, {}, V)), C = p(C, O.finalRules, {}, V);
    }
    var K = [], j = {};
    return C.type === "OperatorNode" && C.isBinary() && C.op === "/" ? (X === 1 && (C.args[0] = B(C.args[0], K), C.args[1] = B(C.args[1])), z && (j.numerator = C.args[0], j.denominator = C.args[1])) : (X === 1 && (C = B(C, K)), z && (j.numerator = C, j.denominator = null)), z ? (j.coefficients = K, j.variables = W.variables, j.expression = C, j) : C;
  }
  return t(rh, {
    Node: M,
    "Node, boolean": (C, _) => M(C, {}, _),
    "Node, Object": M,
    "Node, Object, boolean": M
  });
  function F(C, _, z, O) {
    var W = [], X = p(C, O, _, {
      exactFractions: !1
    });
    z = !!z;
    var V = "+-*" + (z ? "/" : "");
    Q(X);
    var R = {};
    return R.expression = X, R.variables = W, R;
    function Q(se) {
      var re = se.type;
      if (re === "FunctionNode")
        throw new Error("There is an unsolved function call");
      if (re === "OperatorNode")
        if (se.op === "^") {
          if (se.args[1].type !== "ConstantNode" || !Oe(parseFloat(se.args[1].value)))
            throw new Error("There is a non-integer exponent");
          Q(se.args[0]);
        } else {
          if (!V.includes(se.op))
            throw new Error("Operator " + se.op + " invalid in polynomial expression");
          for (var q = 0; q < se.args.length; q++)
            Q(se.args[q]);
        }
      else if (re === "SymbolNode") {
        var Z = se.name, K = W.indexOf(Z);
        K === -1 && W.push(Z);
      } else if (re === "ParenthesisNode")
        Q(se.content);
      else if (re !== "ConstantNode")
        throw new Error("type " + re + " is not allowed in polynomial expression");
    }
  }
  function $() {
    var C = [
      d,
      // sCore
      {
        l: "n+n",
        r: "2*n"
      },
      {
        l: "n+-n",
        r: "0"
      },
      f,
      // sConstant
      {
        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"
      }
    ], _ = [
      {
        l: "(-n1)/(-n2)",
        r: "n1/n2"
      },
      // Unary division
      {
        l: "(-n1)*(-n2)",
        r: "n1*n2"
      },
      // Unary multiplication
      {
        l: "n1--n2",
        r: "n1+n2"
      },
      // '--' elimination
      {
        l: "n1-n2",
        r: "n1+(-n2)"
      },
      // Subtraction turn into add with un�ry minus
      {
        l: "(n1+n2)*n3",
        r: "(n1*n3 + n2*n3)"
      },
      // Distributive 1
      {
        l: "n1*(n2+n3)",
        r: "(n1*n2+n1*n3)"
      },
      // Distributive 2
      {
        l: "c1*n + c2*n",
        r: "(c1+c2)*n"
      },
      // Joining constants
      {
        l: "c1*n + n",
        r: "(c1+1)*n"
      },
      // Joining constants
      {
        l: "c1*n - c2*n",
        r: "(c1-c2)*n"
      },
      // Joining constants
      {
        l: "c1*n - n",
        r: "(c1-1)*n"
      },
      // Joining constants
      {
        l: "v/c",
        r: "(1/c)*v"
      },
      // variable/constant (new!)
      {
        l: "v/-c",
        r: "-(1/c)*v"
      },
      // variable/constant (new!)
      {
        l: "-v*-c",
        r: "c*v"
      },
      // Inversion constant and variable 1
      {
        l: "-v*c",
        r: "-c*v"
      },
      // Inversion constant and variable 2
      {
        l: "v*-c",
        r: "-c*v"
      },
      // Inversion constant and variable 3
      {
        l: "v*c",
        r: "c*v"
      },
      // Inversion constant and variable 4
      {
        l: "-(-n1*n2)",
        r: "(n1*n2)"
      },
      // Unary propagation
      {
        l: "-(n1*n2)",
        r: "(-n1*n2)"
      },
      // Unary propagation
      {
        l: "-(-n1+n2)",
        r: "(n1-n2)"
      },
      // Unary propagation
      {
        l: "-(n1+n2)",
        r: "(-n1-n2)"
      },
      // Unary propagation
      {
        l: "(n1^n2)^n3",
        r: "(n1^(n2*n3))"
      },
      // Power to Power
      {
        l: "-(-n1/n2)",
        r: "(n1/n2)"
      },
      // Division and Unary
      {
        l: "-(n1/n2)",
        r: "(-n1/n2)"
      }
    ], z = [
      {
        l: "(n1/n2 + n3/n4)",
        r: "((n1*n4 + n3*n2)/(n2*n4))"
      },
      // Sum of fractions
      {
        l: "(n1/n2 + n3)",
        r: "((n1 + n3*n2)/n2)"
      },
      // Sum fraction with number 1
      {
        l: "(n1 + n2/n3)",
        r: "((n1*n3 + n2)/n3)"
      }
    ], O = [
      {
        l: "(n1/(n2/n3))",
        r: "((n1*n3)/n2)"
      },
      // Division simplification
      {
        l: "(n1/n2/n3)",
        r: "(n1/(n2*n3))"
      }
    ], W = {};
    return W.firstRules = C.concat(_, O), W.distrDivRules = z, W.sucDivRules = O, W.firstRulesAgain = C.concat(_), W.finalRules = [
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      // simplify.rules[0]
      {
        l: "n*-n",
        r: "-n^2"
      },
      // Joining multiply with power 1
      {
        l: "n*n",
        r: "n^2"
      },
      // Joining multiply with power 2
      f,
      // simplify.rules[14] old 3rd index in oldRules
      {
        l: "n*-n^n1",
        r: "-n^(n1+1)"
      },
      // Joining multiply with power 3
      {
        l: "n*n^n1",
        r: "n^(n1+1)"
      },
      // Joining multiply with power 4
      {
        l: "n^n1*-n^n2",
        r: "-n^(n1+n2)"
      },
      // Joining multiply with power 5
      {
        l: "n^n1*n^n2",
        r: "n^(n1+n2)"
      },
      // Joining multiply with power 6
      {
        l: "n^n1*-n",
        r: "-n^(n1+1)"
      },
      // Joining multiply with power 7
      {
        l: "n^n1*n",
        r: "n^(n1+1)"
      },
      // Joining multiply with power 8
      {
        l: "n^n1/-n",
        r: "-n^(n1-1)"
      },
      // Joining multiply with power 8
      {
        l: "n^n1/n",
        r: "n^(n1-1)"
      },
      // Joining division with power 1
      {
        l: "n/-n^n1",
        r: "-n^(1-n1)"
      },
      // Joining division with power 2
      {
        l: "n/n^n1",
        r: "n^(1-n1)"
      },
      // Joining division with power 3
      {
        l: "n^n1/-n^n2",
        r: "n^(n1-n2)"
      },
      // Joining division with power 4
      {
        l: "n^n1/n^n2",
        r: "n^(n1-n2)"
      },
      // Joining division with power 5
      {
        l: "n1+(-n2*n3)",
        r: "n1-n2*n3"
      },
      // Solving useless parenthesis 1
      {
        l: "v*(-c)",
        r: "-c*v"
      },
      // Solving useless unary 2
      {
        l: "n1+-n2",
        r: "n1-n2"
      },
      // Solving +- together (new!)
      {
        l: "v*c",
        r: "c*v"
      },
      // inversion constant with variable
      {
        l: "(n1^n2)^n3",
        r: "(n1^(n2*n3))"
      }
      // Power to Power
    ], W;
  }
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    if (O === "OperatorNode" && C.isBinary()) {
      var X = !1, V;
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          var R = C.args[0], Q = new E("^", "pow", [C.args[0].cloneDeep(), new x(V - 1)]);
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          C = new E("*", "multiply", [C.args[0], C.args[0].cloneDeep()]);
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    var O = 0, W = "";
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        var Q = new x(X ? _[R] : Math.abs(_[R])), se = _[R] < 0 ? "-" : "+";
        if (R > 0) {
          var re = new N(W);
          if (R > 1) {
            var q = new x(R);
            re = new E("^", "pow", [re, q]);
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        }
        X ? V = Q : se === "+" ? V = new E("+", "add", [V, Q]) : V = new E("-", "subtract", [V, Q]), X = !1;
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      return new x(0);
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      var te = K.type;
      if (te === "FunctionNode")
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        if (j !== null) {
          if ((K.fn === "unaryMinus" || K.fn === "pow") && j.fn !== "add" && j.fn !== "subtract" && j.fn !== "multiply")
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          if ((K.fn === "subtract" || K.fn === "add" || K.fn === "multiply") && j.fn !== "add" && j.fn !== "subtract")
            throw new Error("Invalid " + K.op + " placing");
          if ((K.fn === "subtract" || K.fn === "add" || K.fn === "unaryMinus") && ee.noFil !== 0)
            throw new Error("Invalid " + K.op + " placing");
        }
        (K.op === "^" || K.op === "*") && (ee.fire = K.op);
        for (var oe = 0; oe < K.args.length; oe++)
          K.fn === "unaryMinus" && (ee.oper = "-"), (K.op === "+" || K.fn === "subtract") && (ee.fire = "", ee.cte = 1, ee.oper = oe === 0 ? "+" : K.op), ee.noFil = oe, Z(K.args[oe], K, ee);
      } else if (te === "SymbolNode") {
        if (K.name !== W && W !== "")
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        if (W = K.name, j === null) {
          _[1] = 1;
          return;
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        if (j.op === "^" && ee.noFil !== 0)
          throw new Error("In power the variable should be the first parameter");
        if (j.op === "*" && ee.noFil !== 1)
          throw new Error("In multiply the variable should be the second parameter");
        (ee.fire === "" || ee.fire === "*") && (O < 1 && (_[1] = 0), _[1] += ee.cte * (ee.oper === "+" ? 1 : -1), O = Math.max(1, O));
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        var ge = parseFloat(K.value);
        if (j === null) {
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          if (!Oe(ge) || ge <= 0)
            throw new Error("Non-integer exponent is not allowed");
          for (var L = O + 1; L < ge; L++) _[L] = 0;
          ge > O && (_[ge] = 0), _[ge] += ee.cte * (ee.oper === "+" ? 1 : -1), O = Math.max(ge, O);
          return;
        }
        ee.cte = ge, ee.fire === "" && (_[0] += ee.cte * (ee.oper === "+" ? 1 : -1));
      } else
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    }
  }
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};
var zt = Fr.FORMAT_REGEXPS = {
  // 7.3.1. Dates, Times, and Duration
  "date-time": /^\d{4}-(?:0[0-9]{1}|1[0-2]{1})-(3[01]|0[1-9]|[12][0-9])[tT ](2[0-4]|[01][0-9]):([0-5][0-9]):(60|[0-5][0-9])(\.\d+)?([zZ]|[+-]([0-5][0-9]):(60|[0-5][0-9]))$/,
  date: /^\d{4}-(?:0[0-9]{1}|1[0-2]{1})-(3[01]|0[1-9]|[12][0-9])$/,
  time: /^(2[0-4]|[01][0-9]):([0-5][0-9]):(60|[0-5][0-9])$/,
  duration: /P(T\d+(H(\d+M(\d+S)?)?|M(\d+S)?|S)|\d+(D|M(\d+D)?|Y(\d+M(\d+D)?)?)(T\d+(H(\d+M(\d+S)?)?|M(\d+S)?|S))?|\d+W)/i,
  // 7.3.2. Email Addresses
  // TODO: fix the email production
  email: /^(?:[\w\!\#\$\%\&\'\*\+\-\/\=\?\^\`\{\|\}\~]+\.)*[\w\!\#\$\%\&\'\*\+\-\/\=\?\^\`\{\|\}\~]+@(?:(?:(?:[a-zA-Z0-9](?:[a-zA-Z0-9\-](?!\.)){0,61}[a-zA-Z0-9]?\.)+[a-zA-Z0-9](?:[a-zA-Z0-9\-](?!$)){0,61}[a-zA-Z0-9]?)|(?:\[(?:(?:[01]?\d{1,2}|2[0-4]\d|25[0-5])\.){3}(?:[01]?\d{1,2}|2[0-4]\d|25[0-5])\]))$/,
  "idn-email": /^("(?:[!#-\[\]-\u{10FFFF}]|\\[\t -\u{10FFFF}])*"|[!#-'*+\-/-9=?A-Z\^-\u{10FFFF}](?:\.?[!#-'*+\-/-9=?A-Z\^-\u{10FFFF}])*)@([!#-'*+\-/-9=?A-Z\^-\u{10FFFF}](?:\.?[!#-'*+\-/-9=?A-Z\^-\u{10FFFF}])*|\[[!-Z\^-\u{10FFFF}]*\])$/u,
  // 7.3.3. Hostnames
  // 7.3.4. IP Addresses
  "ip-address": /^(?:(?:25[0-5]|2[0-4][0-9]|[01]?[0-9][0-9]?)\.){3}(?:25[0-5]|2[0-4][0-9]|[01]?[0-9][0-9]?)$/,
  // FIXME whitespace is invalid
  ipv6: /^\s*((([0-9A-Fa-f]{1,4}:){7}([0-9A-Fa-f]{1,4}|:))|(([0-9A-Fa-f]{1,4}:){6}(:[0-9A-Fa-f]{1,4}|((25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)(\.(25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)){3})|:))|(([0-9A-Fa-f]{1,4}:){5}(((:[0-9A-Fa-f]{1,4}){1,2})|:((25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)(\.(25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)){3})|:))|(([0-9A-Fa-f]{1,4}:){4}(((:[0-9A-Fa-f]{1,4}){1,3})|((:[0-9A-Fa-f]{1,4})?:((25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)(\.(25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)){3}))|:))|(([0-9A-Fa-f]{1,4}:){3}(((:[0-9A-Fa-f]{1,4}){1,4})|((:[0-9A-Fa-f]{1,4}){0,2}:((25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)(\.(25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)){3}))|:))|(([0-9A-Fa-f]{1,4}:){2}(((:[0-9A-Fa-f]{1,4}){1,5})|((:[0-9A-Fa-f]{1,4}){0,3}:((25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)(\.(25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)){3}))|:))|(([0-9A-Fa-f]{1,4}:){1}(((:[0-9A-Fa-f]{1,4}){1,6})|((:[0-9A-Fa-f]{1,4}){0,4}:((25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)(\.(25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)){3}))|:))|(:(((:[0-9A-Fa-f]{1,4}){1,7})|((:[0-9A-Fa-f]{1,4}){0,5}:((25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)(\.(25[0-5]|2[0-4]\d|1\d\d|[1-9]?\d)){3}))|:)))(%.+)?\s*$/,
  // 7.3.5. Resource Identifiers
  // TODO: A more accurate regular expression for "uri" goes:
  // [A-Za-z][+\-.0-9A-Za-z]*:((/(/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~])+|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~]+)?|[.0-:A-Fa-f]+)\])?)(:\d*)?)?)?#(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~])*|(/(/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~])+|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~]+)?|[.0-:A-Fa-f]+)\])?)(:\d*)?[/?]|[!$&-.0-;=?-Z_a-z~])|/?%[0-9A-Fa-f]{2}|[!$&-.0-;=?-Z_a-z~])(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~])*(#(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~])*)?|/(/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~])+(:\d*)?|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~]+)?|[.0-:A-Fa-f]+)\])?:\d*|\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~]+)?|[.0-:A-Fa-f]+)\])?)?)?
  uri: /^[a-zA-Z][a-zA-Z0-9+.-]*:[^\s]*$/,
  "uri-reference": /^(((([A-Za-z][+\-.0-9A-Za-z]*(:%[0-9A-Fa-f]{2}|:[!$&-.0-;=?-Z_a-z~]|[/?])|\?)(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~])*|([A-Za-z][+\-.0-9A-Za-z]*:?)?)|([A-Za-z][+\-.0-9A-Za-z]*:)?\/((%[0-9A-Fa-f]{2}|\/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~])+|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~]+)?|[.0-:A-Fa-f]+)\])?)(:\d*)?[/?]|[!$&-.0-;=?-Z_a-z~])(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~])*|(\/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~])+|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~]+)?|[.0-:A-Fa-f]+)\])?)(:\d*)?)?))#(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~])*|(([A-Za-z][+\-.0-9A-Za-z]*)?%[0-9A-Fa-f]{2}|[!$&-.0-9;=@_~]|[A-Za-z][+\-.0-9A-Za-z]*[!$&-*,;=@_~])(%[0-9A-Fa-f]{2}|[!$&-.0-9;=@-Z_a-z~])*((([/?](%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~])*)?#|[/?])(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~])*)?|([A-Za-z][+\-.0-9A-Za-z]*(:%[0-9A-Fa-f]{2}|:[!$&-.0-;=?-Z_a-z~]|[/?])|\?)(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~])*|([A-Za-z][+\-.0-9A-Za-z]*:)?\/((%[0-9A-Fa-f]{2}|\/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~])+|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~]+)?|[.0-:A-Fa-f]+)\])?)(:\d*)?[/?]|[!$&-.0-;=?-Z_a-z~])(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~])*|\/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~])+(:\d*)?|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~]+)?|[.0-:A-Fa-f]+)\])?:\d*|\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~]+)?|[.0-:A-Fa-f]+)\])?)?|[A-Za-z][+\-.0-9A-Za-z]*:?)?$/,
  iri: /^[a-zA-Z][a-zA-Z0-9+.-]*:[^\s]*$/,
  "iri-reference": /^(((([A-Za-z][+\-.0-9A-Za-z]*(:%[0-9A-Fa-f]{2}|:[!$&-.0-;=?-Z_a-z~-\u{10FFFF}]|[/?])|\?)(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~-\u{10FFFF}])*|([A-Za-z][+\-.0-9A-Za-z]*:?)?)|([A-Za-z][+\-.0-9A-Za-z]*:)?\/((%[0-9A-Fa-f]{2}|\/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~-\u{10FFFF}])+|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~-\u{10FFFF}]+)?|[.0-:A-Fa-f]+)\])?)(:\d*)?[/?]|[!$&-.0-;=?-Z_a-z~-\u{10FFFF}])(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~-\u{10FFFF}])*|(\/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~-\u{10FFFF}])+|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~-\u{10FFFF}]+)?|[.0-:A-Fa-f]+)\])?)(:\d*)?)?))#(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~-\u{10FFFF}])*|(([A-Za-z][+\-.0-9A-Za-z]*)?%[0-9A-Fa-f]{2}|[!$&-.0-9;=@_~-\u{10FFFF}]|[A-Za-z][+\-.0-9A-Za-z]*[!$&-*,;=@_~-\u{10FFFF}])(%[0-9A-Fa-f]{2}|[!$&-.0-9;=@-Z_a-z~-\u{10FFFF}])*((([/?](%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~-\u{10FFFF}])*)?#|[/?])(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~-\u{10FFFF}])*)?|([A-Za-z][+\-.0-9A-Za-z]*(:%[0-9A-Fa-f]{2}|:[!$&-.0-;=?-Z_a-z~-\u{10FFFF}]|[/?])|\?)(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~-\u{10FFFF}])*|([A-Za-z][+\-.0-9A-Za-z]*:)?\/((%[0-9A-Fa-f]{2}|\/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~-\u{10FFFF}])+|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~-\u{10FFFF}]+)?|[.0-:A-Fa-f]+)\])?)(:\d*)?[/?]|[!$&-.0-;=?-Z_a-z~-\u{10FFFF}])(%[0-9A-Fa-f]{2}|[!$&-;=?-Z_a-z~-\u{10FFFF}])*|\/((%[0-9A-Fa-f]{2}|[!$&-.0-9;=A-Z_a-z~-\u{10FFFF}])+(:\d*)?|(\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~-\u{10FFFF}]+)?|[.0-:A-Fa-f]+)\])?:\d*|\[(([Vv][0-9A-Fa-f]+\.[!$&-.0-;=A-Z_a-z~-\u{10FFFF}]+)?|[.0-:A-Fa-f]+)\])?)?|[A-Za-z][+\-.0-9A-Za-z]*:?)?$/u,
  uuid: /^[0-9A-F]{8}-[0-9A-F]{4}-[0-9A-F]{4}-[0-9A-F]{4}-[0-9A-F]{12}$/i,
  // 7.3.6. uri-template
  "uri-template": /(%[0-9a-f]{2}|[!#$&(-;=?@\[\]_a-z~]|\{[!#&+,./;=?@|]?(%[0-9a-f]{2}|[0-9_a-z])(\.?(%[0-9a-f]{2}|[0-9_a-z]))*(:[1-9]\d{0,3}|\*)?(,(%[0-9a-f]{2}|[0-9_a-z])(\.?(%[0-9a-f]{2}|[0-9_a-z]))*(:[1-9]\d{0,3}|\*)?)*\})*/iu,
  // 7.3.7. JSON Pointers
  "json-pointer": /^(\/([\x00-\x2e0-@\[-}\x7f]|~[01])*)*$/iu,
  "relative-json-pointer": /^\d+(#|(\/([\x00-\x2e0-@\[-}\x7f]|~[01])*)*)$/iu,
  // hostname regex from: http://stackoverflow.com/a/1420225/5628
  hostname: /^(?=.{1,255}$)[0-9A-Za-z](?:(?:[0-9A-Za-z]|-){0,61}[0-9A-Za-z])?(?:\.[0-9A-Za-z](?:(?:[0-9A-Za-z]|-){0,61}[0-9A-Za-z])?)*\.?$/,
  "host-name": /^(?=.{1,255}$)[0-9A-Za-z](?:(?:[0-9A-Za-z]|-){0,61}[0-9A-Za-z])?(?:\.[0-9A-Za-z](?:(?:[0-9A-Za-z]|-){0,61}[0-9A-Za-z])?)*\.?$/,
  "utc-millisec": function(e) {
    return typeof e == "string" && parseFloat(e) === parseInt(e, 10) && !isNaN(e);
  },
  // 7.3.8. regex
  regex: function(e) {
    var r = !0;
    try {
      new RegExp(e);
    } catch {
      r = !1;
    }
    return r;
  },
  // Other definitions
  // "style" was removed from JSON Schema in draft-4 and is deprecated
  style: /[\r\n\t ]*[^\r\n\t ][^:]*:[\r\n\t ]*[^\r\n\t ;]*[\r\n\t ]*;?/,
  // "color" was removed from JSON Schema in draft-4 and is deprecated
  color: /^(#?([0-9A-Fa-f]{3}){1,2}\b|aqua|black|blue|fuchsia|gray|green|lime|maroon|navy|olive|orange|purple|red|silver|teal|white|yellow|(rgb\(\s*\b([0-9]|[1-9][0-9]|1[0-9][0-9]|2[0-4][0-9]|25[0-5])\b\s*,\s*\b([0-9]|[1-9][0-9]|1[0-9][0-9]|2[0-4][0-9]|25[0-5])\b\s*,\s*\b([0-9]|[1-9][0-9]|1[0-9][0-9]|2[0-4][0-9]|25[0-5])\b\s*\))|(rgb\(\s*(\d?\d%|100%)+\s*,\s*(\d?\d%|100%)+\s*,\s*(\d?\d%|100%)+\s*\)))$/,
  phone: /^\+(?:[0-9] ?){6,14}[0-9]$/,
  alpha: /^[a-zA-Z]+$/,
  alphanumeric: /^[a-zA-Z0-9]+$/
};
zt.regexp = zt.regex;
zt.pattern = zt.regex;
zt.ipv4 = zt["ip-address"];
Fr.isFormat = function(r, t, n) {
  if (typeof r == "string" && zt[t] !== void 0) {
    if (zt[t] instanceof RegExp)
      return zt[t].test(r);
    if (typeof zt[t] == "function")
      return zt[t](r);
  } else if (n && n.customFormats && typeof n.customFormats[t] == "function")
    return n.customFormats[t](r);
  return !0;
};
var o1 = Fr.makeSuffix = function(r) {
  return r = r.toString(), !r.match(/[.\s\[\]]/) && !r.match(/^[\d]/) ? "." + r : r.match(/^\d+$/) ? "[" + r + "]" : "[" + JSON.stringify(r) + "]";
};
Fr.deepCompareStrict = function e(r, t) {
  if (typeof r != typeof t)
    return !1;
  if (Array.isArray(r))
    return !Array.isArray(t) || r.length !== t.length ? !1 : r.every(function(i, o) {
      return e(r[o], t[o]);
    });
  if (typeof r == "object") {
    if (!r || !t)
      return r === t;
    var n = Object.keys(r), a = Object.keys(t);
    return n.length !== a.length ? !1 : n.every(function(i) {
      return e(r[i], t[i]);
    });
  }
  return r === t;
};
function nk(e, r, t, n) {
  typeof t == "object" ? r[n] = pc(e[n], t) : e.indexOf(t) === -1 && r.push(t);
}
function ak(e, r, t) {
  r[t] = e[t];
}
function ik(e, r, t, n) {
  typeof r[n] != "object" || !r[n] ? t[n] = r[n] : e[n] ? t[n] = pc(e[n], r[n]) : t[n] = r[n];
}
function pc(e, r) {
  var t = Array.isArray(r), n = t && [] || {};
  return t ? (e = e || [], n = n.concat(e), r.forEach(nk.bind(null, e, n))) : (e && typeof e == "object" && Object.keys(e).forEach(ak.bind(null, e, n)), Object.keys(r).forEach(ik.bind(null, e, r, n))), n;
}
Fr.deepMerge = pc;
Fr.objectGetPath = function(r, t) {
  for (var n = t.split("/").slice(1), a; typeof (a = n.shift()) == "string"; ) {
    var i = decodeURIComponent(a.replace(/~0/, "~").replace(/~1/g, "/"));
    if (!(i in r)) return;
    r = r[i];
  }
  return r;
};
function ok(e) {
  return "/" + encodeURIComponent(e).replace(/~/g, "%7E");
}
Fr.encodePath = function(r) {
  return r.map(ok).join("");
};
Fr.getDecimalPlaces = function(r) {
  var t = 0;
  if (isNaN(r)) return t;
  typeof r != "number" && (r = Number(r));
  var n = r.toString().split("e");
  if (n.length === 2) {
    if (n[1][0] !== "-")
      return t;
    t = Number(n[1].slice(1));
  }
  var a = n[0].split(".");
  return a.length === 2 && (t += a[1].length), t;
};
Fr.isSchema = function(r) {
  return typeof r == "object" && r || typeof r == "boolean";
};
var s1 = Fr.resolveUrl = function(r, t) {
  const n = new URL(t, new URL(r, "resolve://"));
  if (n.protocol === "resolve:") {
    const { pathname: a, search: i, hash: o } = n;
    return a + i + o;
  }
  return n.toString();
}, xt = Fr, ur = xt.ValidatorResult, na = xt.SchemaError, mc = {};
mc.ignoreProperties = {
  // informative properties
  id: !0,
  default: !0,
  description: !0,
  title: !0,
  // arguments to other properties
  additionalItems: !0,
  then: !0,
  else: !0,
  // special-handled properties
  $schema: !0,
  $ref: !0,
  extends: !0
};
var lr = mc.validators = {};
lr.type = function(r, t, n, a) {
  if (r === void 0)
    return null;
  var i = new ur(r, t, n, a), o = Array.isArray(t.type) ? t.type : [t.type];
  if (!o.some(this.testType.bind(this, r, t, n, a))) {
    var l = o.map(function(u) {
      if (u) {
        var s = u.$id || u.id;
        return s ? "<" + s + ">" : u + "";
      }
    });
    i.addError({
      name: "type",
      argument: l,
      message: "is not of a type(s) " + l
    });
  }
  return i;
};
function vc(e, r, t, n, a) {
  var i = r.throwError, o = r.throwAll;
  r.throwError = !1, r.throwAll = !1;
  var l = this.validateSchema(e, a, r, t);
  return r.throwError = i, r.throwAll = o, !l.valid && n instanceof Function && n(l), l.valid;
}
lr.anyOf = function(r, t, n, a) {
  if (r === void 0)
    return null;
  var i = new ur(r, t, n, a), o = new ur(r, t, n, a);
  if (!Array.isArray(t.anyOf))
    throw new na("anyOf must be an array");
  if (!t.anyOf.some(
    vc.bind(
      this,
      r,
      n,
      a,
      function(u) {
        o.importErrors(u);
      }
    )
  )) {
    var l = t.anyOf.map(function(u, s) {
      var c = u.$id || u.id;
      return c ? "<" + c + ">" : u.title && JSON.stringify(u.title) || u.$ref && "<" + u.$ref + ">" || "[subschema " + s + "]";
    });
    n.nestedErrors && i.importErrors(o), i.addError({
      name: "anyOf",
      argument: l,
      message: "is not any of " + l.join(",")
    });
  }
  return i;
};
lr.allOf = function(r, t, n, a) {
  if (r === void 0)
    return null;
  if (!Array.isArray(t.allOf))
    throw new na("allOf must be an array");
  var i = new ur(r, t, n, a), o = this;
  return t.allOf.forEach(function(l, u) {
    var s = o.validateSchema(r, l, n, a);
    if (!s.valid) {
      var c = l.$id || l.id, f = c || l.title && JSON.stringify(l.title) || l.$ref && "<" + l.$ref + ">" || "[subschema " + u + "]";
      i.addError({
        name: "allOf",
        argument: { id: f, length: s.errors.length, valid: s },
        message: "does not match allOf schema " + f + " with " + s.errors.length + " error[s]:"
      }), i.importErrors(s);
    }
  }), i;
};
lr.oneOf = function(r, t, n, a) {
  if (r === void 0)
    return null;
  if (!Array.isArray(t.oneOf))
    throw new na("oneOf must be an array");
  var i = new ur(r, t, n, a), o = new ur(r, t, n, a), l = t.oneOf.filter(
    vc.bind(
      this,
      r,
      n,
      a,
      function(s) {
        o.importErrors(s);
      }
    )
  ).length, u = t.oneOf.map(function(s, c) {
    var f = s.$id || s.id;
    return f || s.title && JSON.stringify(s.title) || s.$ref && "<" + s.$ref + ">" || "[subschema " + c + "]";
  });
  return l !== 1 && (n.nestedErrors && i.importErrors(o), i.addError({
    name: "oneOf",
    argument: u,
    message: "is not exactly one from " + u.join(",")
  })), i;
};
lr.if = function(r, t, n, a) {
  if (r === void 0) return null;
  if (!xt.isSchema(t.if)) throw new Error('Expected "if" keyword to be a schema');
  var i = vc.call(this, r, n, a, null, t.if), o = new ur(r, t, n, a), l;
  if (i) {
    if (t.then === void 0) return;
    if (!xt.isSchema(t.then)) throw new Error('Expected "then" keyword to be a schema');
    l = this.validateSchema(r, t.then, n, a.makeChild(t.then)), o.importErrors(l);
  } else {
    if (t.else === void 0) return;
    if (!xt.isSchema(t.else)) throw new Error('Expected "else" keyword to be a schema');
    l = this.validateSchema(r, t.else, n, a.makeChild(t.else)), o.importErrors(l);
  }
  return o;
};
function hc(e, r) {
  if (Object.hasOwnProperty.call(e, r)) return e[r];
  if (r in e) {
    for (; e = Object.getPrototypeOf(e); )
      if (Object.propertyIsEnumerable.call(e, r)) return e[r];
  }
}
lr.propertyNames = function(r, t, n, a) {
  if (this.types.object(r)) {
    var i = new ur(r, t, n, a), o = t.propertyNames !== void 0 ? t.propertyNames : {};
    if (!xt.isSchema(o)) throw new na('Expected "propertyNames" to be a schema (object or boolean)');
    for (var l in r)
      if (hc(r, l) !== void 0) {
        var u = this.validateSchema(l, o, n, a.makeChild(o));
        i.importErrors(u);
      }
    return i;
  }
};
lr.properties = function(r, t, n, a) {
  if (this.types.object(r)) {
    var i = new ur(r, t, n, a), o = t.properties || {};
    for (var l in o) {
      var u = o[l];
      if (u !== void 0) {
        if (u === null)
          throw new na('Unexpected null, expected schema in "properties"');
        typeof n.preValidateProperty == "function" && n.preValidateProperty(r, l, u, n, a);
        var s = hc(r, l), c = this.validateSchema(s, u, n, a.makeChild(u, l));
        c.instance !== i.instance[l] && (i.instance[l] = c.instance), i.importErrors(c);
      }
    }
    return i;
  }
};
function u1(e, r, t, n, a, i) {
  if (this.types.object(e) && !(r.properties && r.properties[a] !== void 0))
    if (r.additionalProperties === !1)
      i.addError({
        name: "additionalProperties",
        argument: a,
        message: "is not allowed to have the additional property " + JSON.stringify(a)
      });
    else {
      var o = r.additionalProperties || {};
      typeof t.preValidateProperty == "function" && t.preValidateProperty(e, a, o, t, n);
      var l = this.validateSchema(e[a], o, t, n.makeChild(o, a));
      l.instance !== i.instance[a] && (i.instance[a] = l.instance), i.importErrors(l);
    }
}
lr.patternProperties = function(r, t, n, a) {
  if (this.types.object(r)) {
    var i = new ur(r, t, n, a), o = t.patternProperties || {};
    for (var l in r) {
      var u = !0;
      for (var s in o) {
        var c = o[s];
        if (c !== void 0) {
          if (c === null)
            throw new na('Unexpected null, expected schema in "patternProperties"');
          try {
            var f = new RegExp(s, "u");
          } catch {
            f = new RegExp(s);
          }
          if (f.test(l)) {
            u = !1, typeof n.preValidateProperty == "function" && n.preValidateProperty(r, l, c, n, a);
            var d = this.validateSchema(r[l], c, n, a.makeChild(c, l));
            d.instance !== i.instance[l] && (i.instance[l] = d.instance), i.importErrors(d);
          }
        }
      }
      u && u1.call(this, r, t, n, a, l, i);
    }
    return i;
  }
};
lr.additionalProperties = function(r, t, n, a) {
  if (this.types.object(r)) {
    if (t.patternProperties)
      return null;
    var i = new ur(r, t, n, a);
    for (var o in r)
      u1.call(this, r, t, n, a, o, i);
    return i;
  }
};
lr.minProperties = function(r, t, n, a) {
  if (this.types.object(r)) {
    var i = new ur(r, t, n, a), o = Object.keys(r);
    return o.length >= t.minProperties || i.addError({
      name: "minProperties",
      argument: t.minProperties,
      message: "does not meet minimum property length of " + t.minProperties
    }), i;
  }
};
lr.maxProperties = function(r, t, n, a) {
  if (this.types.object(r)) {
    var i = new ur(r, t, n, a), o = Object.keys(r);
    return o.length <= t.maxProperties || i.addError({
      name: "maxProperties",
      argument: t.maxProperties,
      message: "does not meet maximum property length of " + t.maxProperties
    }), i;
  }
};
lr.items = function(r, t, n, a) {
  var i = this;
  if (this.types.array(r) && t.items !== void 0) {
    var o = new ur(r, t, n, a);
    return r.every(function(l, u) {
      if (Array.isArray(t.items))
        var s = t.items[u] === void 0 ? t.additionalItems : t.items[u];
      else
        var s = t.items;
      if (s === void 0)
        return !0;
      if (s === !1)
        return o.addError({
          name: "items",
          message: "additionalItems not permitted"
        }), !1;
      var c = i.validateSchema(l, s, n, a.makeChild(s, u));
      return c.instance !== o.instance[u] && (o.instance[u] = c.instance), o.importErrors(c), !0;
    }), o;
  }
};
lr.contains = function(r, t, n, a) {
  var i = this;
  if (this.types.array(r) && t.contains !== void 0) {
    if (!xt.isSchema(t.contains)) throw new Error('Expected "contains" keyword to be a schema');
    var o = new ur(r, t, n, a), l = r.some(function(u, s) {
      var c = i.validateSchema(u, t.contains, n, a.makeChild(t.contains, s));
      return c.errors.length === 0;
    });
    return l === !1 && o.addError({
      name: "contains",
      argument: t.contains,
      message: "must contain an item matching given schema"
    }), o;
  }
};
lr.minimum = function(r, t, n, a) {
  if (this.types.number(r)) {
    var i = new ur(r, t, n, a);
    return t.exclusiveMinimum && t.exclusiveMinimum === !0 ? r > t.minimum || i.addError({
      name: "minimum",
      argument: t.minimum,
      message: "must be greater than " + t.minimum
    }) : r >= t.minimum || i.addError({
      name: "minimum",
      argument: t.minimum,
      message: "must be greater than or equal to " + t.minimum
    }), i;
  }
};
lr.maximum = function(r, t, n, a) {
  if (this.types.number(r)) {
    var i = new ur(r, t, n, a);
    return t.exclusiveMaximum && t.exclusiveMaximum === !0 ? r < t.maximum || i.addError({
      name: "maximum",
      argument: t.maximum,
      message: "must be less than " + t.maximum
    }) : r <= t.maximum || i.addError({
      name: "maximum",
      argument: t.maximum,
      message: "must be less than or equal to " + t.maximum
    }), i;
  }
};
lr.exclusiveMinimum = function(r, t, n, a) {
  if (typeof t.exclusiveMinimum != "boolean" && this.types.number(r)) {
    var i = new ur(r, t, n, a), o = r > t.exclusiveMinimum;
    return o || i.addError({
      name: "exclusiveMinimum",
      argument: t.exclusiveMinimum,
      message: "must be strictly greater than " + t.exclusiveMinimum
    }), i;
  }
};
lr.exclusiveMaximum = function(r, t, n, a) {
  if (typeof t.exclusiveMaximum != "boolean" && this.types.number(r)) {
    var i = new ur(r, t, n, a), o = r < t.exclusiveMaximum;
    return o || i.addError({
      name: "exclusiveMaximum",
      argument: t.exclusiveMaximum,
      message: "must be strictly less than " + t.exclusiveMaximum
    }), i;
  }
};
var l1 = function(r, t, n, a, i, o) {
  if (this.types.number(r)) {
    var l = t[i];
    if (l == 0)
      throw new na(i + " cannot be zero");
    var u = new ur(r, t, n, a), s = xt.getDecimalPlaces(r), c = xt.getDecimalPlaces(l), f = Math.max(s, c), d = Math.pow(10, f);
    return Math.round(r * d) % Math.round(l * d) !== 0 && u.addError({
      name: i,
      argument: l,
      message: o + JSON.stringify(l)
    }), u;
  }
};
lr.multipleOf = function(r, t, n, a) {
  return l1.call(this, r, t, n, a, "multipleOf", "is not a multiple of (divisible by) ");
};
lr.divisibleBy = function(r, t, n, a) {
  return l1.call(this, r, t, n, a, "divisibleBy", "is not divisible by (multiple of) ");
};
lr.required = function(r, t, n, a) {
  var i = new ur(r, t, n, a);
  return r === void 0 && t.required === !0 ? i.addError({
    name: "required",
    message: "is required"
  }) : this.types.object(r) && Array.isArray(t.required) && t.required.forEach(function(o) {
    hc(r, o) === void 0 && i.addError({
      name: "required",
      argument: o,
      message: "requires property " + JSON.stringify(o)
    });
  }), i;
};
lr.pattern = function(r, t, n, a) {
  if (this.types.string(r)) {
    var i = new ur(r, t, n, a), o = t.pattern;
    try {
      var l = new RegExp(o, "u");
    } catch {
      l = new RegExp(o);
    }
    return r.match(l) || i.addError({
      name: "pattern",
      argument: t.pattern,
      message: "does not match pattern " + JSON.stringify(t.pattern.toString())
    }), i;
  }
};
lr.format = function(r, t, n, a) {
  if (r !== void 0) {
    var i = new ur(r, t, n, a);
    return !i.disableFormat && !xt.isFormat(r, t.format, this) && i.addError({
      name: "format",
      argument: t.format,
      message: "does not conform to the " + JSON.stringify(t.format) + " format"
    }), i;
  }
};
lr.minLength = function(r, t, n, a) {
  if (this.types.string(r)) {
    var i = new ur(r, t, n, a), o = r.match(/[\uDC00-\uDFFF]/g), l = r.length - (o ? o.length : 0);
    return l >= t.minLength || i.addError({
      name: "minLength",
      argument: t.minLength,
      message: "does not meet minimum length of " + t.minLength
    }), i;
  }
};
lr.maxLength = function(r, t, n, a) {
  if (this.types.string(r)) {
    var i = new ur(r, t, n, a), o = r.match(/[\uDC00-\uDFFF]/g), l = r.length - (o ? o.length : 0);
    return l <= t.maxLength || i.addError({
      name: "maxLength",
      argument: t.maxLength,
      message: "does not meet maximum length of " + t.maxLength
    }), i;
  }
};
lr.minItems = function(r, t, n, a) {
  if (this.types.array(r)) {
    var i = new ur(r, t, n, a);
    return r.length >= t.minItems || i.addError({
      name: "minItems",
      argument: t.minItems,
      message: "does not meet minimum length of " + t.minItems
    }), i;
  }
};
lr.maxItems = function(r, t, n, a) {
  if (this.types.array(r)) {
    var i = new ur(r, t, n, a);
    return r.length <= t.maxItems || i.addError({
      name: "maxItems",
      argument: t.maxItems,
      message: "does not meet maximum length of " + t.maxItems
    }), i;
  }
};
function sk(e, r, t) {
  var n, a = t.length;
  for (n = r + 1, a; n < a; n++)
    if (xt.deepCompareStrict(e, t[n]))
      return !1;
  return !0;
}
lr.uniqueItems = function(r, t, n, a) {
  if (t.uniqueItems === !0 && this.types.array(r)) {
    var i = new ur(r, t, n, a);
    return r.every(sk) || i.addError({
      name: "uniqueItems",
      message: "contains duplicate item"
    }), i;
  }
};
lr.dependencies = function(r, t, n, a) {
  if (this.types.object(r)) {
    var i = new ur(r, t, n, a);
    for (var o in t.dependencies)
      if (r[o] !== void 0) {
        var l = t.dependencies[o], u = a.makeChild(l, o);
        if (typeof l == "string" && (l = [l]), Array.isArray(l))
          l.forEach(function(c) {
            r[c] === void 0 && i.addError({
              // FIXME there's two different "dependencies" errors here with slightly different outputs
              // Can we make these the same? Or should we create different error types?
              name: "dependencies",
              argument: u.propertyPath,
              message: "property " + c + " not found, required by " + u.propertyPath
            });
          });
        else {
          var s = this.validateSchema(r, l, n, u);
          i.instance !== s.instance && (i.instance = s.instance), s && s.errors.length && (i.addError({
            name: "dependencies",
            argument: u.propertyPath,
            message: "does not meet dependency required by " + u.propertyPath
          }), i.importErrors(s));
        }
      }
    return i;
  }
};
lr.enum = function(r, t, n, a) {
  if (r === void 0)
    return null;
  if (!Array.isArray(t.enum))
    throw new na("enum expects an array", t);
  var i = new ur(r, t, n, a);
  return t.enum.some(xt.deepCompareStrict.bind(null, r)) || i.addError({
    name: "enum",
    argument: t.enum,
    message: "is not one of enum values: " + t.enum.map(String).join(",")
  }), i;
};
lr.const = function(r, t, n, a) {
  if (r === void 0)
    return null;
  var i = new ur(r, t, n, a);
  return xt.deepCompareStrict(t.const, r) || i.addError({
    name: "const",
    argument: t.const,
    message: "does not exactly match expected constant: " + t.const
  }), i;
};
lr.not = lr.disallow = function(r, t, n, a) {
  var i = this;
  if (r === void 0) return null;
  var o = new ur(r, t, n, a), l = t.not || t.disallow;
  return l ? (Array.isArray(l) || (l = [l]), l.forEach(function(u) {
    if (i.testType(r, t, n, a, u)) {
      var s = u && (u.$id || u.id), c = s || u;
      o.addError({
        name: "not",
        argument: c,
        message: "is of prohibited type " + c
      });
    }
  }), o) : null;
};
var uk = mc, gc = {}, yu = Fr;
gc.SchemaScanResult = c1;
function c1(e, r) {
  this.id = e, this.ref = r;
}
gc.scan = function(r, t) {
  function n(u, s) {
    if (!s || typeof s != "object") return;
    if (s.$ref) {
      let p = yu.resolveUrl(u, s.$ref);
      l[p] = l[p] ? l[p] + 1 : 0;
      return;
    }
    var c = s.$id || s.id;
    let f = yu.resolveUrl(u, c);
    var d = c ? f : u;
    if (d) {
      if (d.indexOf("#") < 0 && (d += "#"), o[d]) {
        if (!yu.deepCompareStrict(o[d], s))
          throw new Error("Schema <" + d + "> already exists with different definition");
        return o[d];
      }
      o[d] = s, d[d.length - 1] == "#" && (o[d.substring(0, d.length - 1)] = s);
    }
    a(d + "/items", Array.isArray(s.items) ? s.items : [s.items]), a(d + "/extends", Array.isArray(s.extends) ? s.extends : [s.extends]), n(d + "/additionalItems", s.additionalItems), i(d + "/properties", s.properties), n(d + "/additionalProperties", s.additionalProperties), i(d + "/definitions", s.definitions), i(d + "/patternProperties", s.patternProperties), i(d + "/dependencies", s.dependencies), a(d + "/disallow", s.disallow), a(d + "/allOf", s.allOf), a(d + "/anyOf", s.anyOf), a(d + "/oneOf", s.oneOf), n(d + "/not", s.not);
  }
  function a(u, s) {
    if (Array.isArray(s))
      for (var c = 0; c < s.length; c++)
        n(u + "/" + c, s[c]);
  }
  function i(u, s) {
    if (!(!s || typeof s != "object"))
      for (var c in s)
        n(u + "/" + c, s[c]);
  }
  var o = {}, l = {};
  return n(r, t), new c1(o, l);
};
var f1 = uk, aa = Fr, d1 = gc.scan, p1 = aa.ValidatorResult, lk = aa.ValidatorResultError, Ui = aa.SchemaError, m1 = aa.SchemaContext, ck = "/", Ur = function e() {
  this.customFormats = Object.create(e.prototype.customFormats), this.schemas = {}, this.unresolvedRefs = [], this.types = Object.create(sn), this.attributes = Object.create(f1.validators);
};
Ur.prototype.customFormats = {};
Ur.prototype.schemas = null;
Ur.prototype.types = null;
Ur.prototype.attributes = null;
Ur.prototype.unresolvedRefs = null;
Ur.prototype.addSchema = function(r, t) {
  var n = this;
  if (!r)
    return null;
  var a = d1(t || ck, r), i = t || r.$id || r.id;
  for (var o in a.id)
    this.schemas[o] = a.id[o];
  for (var o in a.ref)
    this.unresolvedRefs.push(o);
  return this.unresolvedRefs = this.unresolvedRefs.filter(function(l) {
    return typeof n.schemas[l] > "u";
  }), this.schemas[i];
};
Ur.prototype.addSubSchemaArray = function(r, t) {
  if (Array.isArray(t))
    for (var n = 0; n < t.length; n++)
      this.addSubSchema(r, t[n]);
};
Ur.prototype.addSubSchemaObject = function(r, t) {
  if (!(!t || typeof t != "object"))
    for (var n in t)
      this.addSubSchema(r, t[n]);
};
Ur.prototype.setSchemas = function(r) {
  this.schemas = r;
};
Ur.prototype.getSchema = function(r) {
  return this.schemas[r];
};
Ur.prototype.validate = function(r, t, n, a) {
  if (typeof t != "boolean" && typeof t != "object" || t === null)
    throw new Ui("Expected `schema` to be an object or boolean");
  n || (n = {});
  var i = t.$id || t.id;
  let o = aa.resolveUrl(n.base, i || "");
  if (!a) {
    a = new m1(t, n, [], o, Object.create(this.schemas)), a.schemas[o] || (a.schemas[o] = t);
    var l = d1(o, t);
    for (var u in l.id) {
      var s = l.id[u];
      a.schemas[u] = s;
    }
  }
  if (n.required && r === void 0) {
    var c = new p1(r, t, n, a);
    return c.addError("is required, but is undefined"), c;
  }
  var c = this.validateSchema(r, t, n, a);
  if (c) {
    if (n.throwAll && c.errors.length)
      throw new lk(c);
  } else throw new Error("Result undefined");
  return c;
};
function v1(e) {
  var r = typeof e == "string" ? e : e.$ref;
  return typeof r == "string" ? r : !1;
}
Ur.prototype.validateSchema = function(r, t, n, a) {
  var i = new p1(r, t, n, a);
  if (typeof t == "boolean")
    t === !0 ? t = {} : t === !1 && (t = { type: [] });
  else if (!t)
    throw new Error("schema is undefined");
  if (t.extends)
    if (Array.isArray(t.extends)) {
      var o = { schema: t, ctx: a };
      t.extends.forEach(this.schemaTraverser.bind(this, o)), t = o.schema, o.schema = null, o.ctx = null, o = null;
    } else
      t = aa.deepMerge(t, this.superResolve(t.extends, a));
  var l = v1(t);
  if (l) {
    var u = this.resolve(t, l, a), s = new m1(u.subschema, n, a.path, u.switchSchema, a.schemas);
    return this.validateSchema(r, u.subschema, n, s);
  }
  var c = n && n.skipAttributes || [];
  for (var f in t)
    if (!f1.ignoreProperties[f] && c.indexOf(f) < 0) {
      var d = null, p = this.attributes[f];
      if (p)
        d = p.call(this, r, t, n, a);
      else if (n.allowUnknownAttributes === !1)
        throw new Ui("Unsupported attribute: " + f, t);
      d && i.importErrors(d);
    }
  if (typeof n.rewrite == "function") {
    var m = n.rewrite.call(this, r, t, n, a);
    i.instance = m;
  }
  return i;
};
Ur.prototype.schemaTraverser = function(r, t) {
  r.schema = aa.deepMerge(r.schema, this.superResolve(t, r.ctx));
};
Ur.prototype.superResolve = function(r, t) {
  var n = v1(r);
  return n ? this.resolve(r, n, t).subschema : r;
};
Ur.prototype.resolve = function(r, t, n) {
  if (t = n.resolve(t), n.schemas[t])
    return { subschema: n.schemas[t], switchSchema: t };
  let i = new URL(t, "thismessage::/").hash;
  var o = i && i.length && t.substr(0, t.length - i.length);
  if (!o || !n.schemas[o])
    throw new Ui("no such schema <" + t + ">", r);
  var l = aa.objectGetPath(n.schemas[o], i.substr(1));
  if (l === void 0)
    throw new Ui("no such schema " + i + " located in <" + o + ">", r);
  return { subschema: l, switchSchema: t };
};
Ur.prototype.testType = function(r, t, n, a, i) {
  if (i !== void 0) {
    if (i === null)
      throw new Ui('Unexpected null in "type" keyword');
    if (typeof this.types[i] == "function")
      return this.types[i].call(this, r);
    if (i && typeof i == "object") {
      var o = this.validateSchema(r, i, n, a);
      return o === void 0 || !(o && o.errors.length);
    }
    return !0;
  }
};
var sn = Ur.prototype.types = {};
sn.string = function(r) {
  return typeof r == "string";
};
sn.number = function(r) {
  return typeof r == "number" && isFinite(r);
};
sn.integer = function(r) {
  return typeof r == "number" && r % 1 === 0;
};
sn.boolean = function(r) {
  return typeof r == "boolean";
};
sn.array = function(r) {
  return Array.isArray(r);
};
sn.null = function(r) {
  return r === null;
};
sn.date = function(r) {
  return r instanceof Date;
};
sn.any = function(r) {
  return !0;
};
sn.object = function(r) {
  return r && typeof r == "object" && !Array.isArray(r) && !(r instanceof Date);
};
var fk = Ur, h1;
h1 = fk;
Fr.ValidatorResult;
Fr.ValidatorResultError;
Fr.ValidationError;
Fr.SchemaError;
function dk(e, r) {
  const t = new h1(), n = {
    additionalProperties: !1,
    properties: {
      input: {
        items: {
          oneOf: [
            {
              additionalProperties: !1,
              properties: {
                defaultValue: {
                  required: !0,
                  type: "number"
                },
                id: {
                  type: "string"
                },
                name: {
                  required: !0,
                  type: "string"
                },
                possibleValues: {
                  items: {
                    additionalProperties: !1,
                    properties: {
                      name: {
                        required: !0,
                        type: "string"
                      },
                      value: {
                        required: !0,
                        type: "number"
                      }
                    },
                    type: "object"
                  },
                  minItems: 1,
                  required: !0,
                  type: "array"
                },
                visible: {
                  type: "string"
                }
              }
            },
            {
              additionalProperties: !1,
              properties: {
                defaultValue: {
                  required: !0,
                  type: "number"
                },
                id: {
                  type: "string"
                },
                maximumValue: {
                  required: !0,
                  type: "number"
                },
                minimumValue: {
                  required: !0,
                  type: "number"
                },
                name: {
                  required: !0,
                  type: "string"
                },
                stepValue: {
                  type: "number"
                },
                visible: {
                  type: "string"
                }
              }
            }
          ],
          type: "object"
        },
        minItems: 1,
        required: !0,
        type: "array"
      },
      output: {
        additionalProperties: !1,
        minItems: 1,
        properties: {
          data: {
            items: {
              additionalProperties: !1,
              properties: {
                id: {
                  required: !0,
                  type: "string"
                },
                name: {
                  required: !0,
                  type: "string"
                }
              },
              type: "object"
            },
            minItems: 1,
            required: !0,
            type: "array"
          },
          plots: {
            items: {
              additionalProperties: !1,
              properties: {
                xAxisTitle: {
                  required: !0,
                  type: "string"
                },
                xValue: {
                  required: !0,
                  type: "string"
                },
                yAxisTitle: {
                  required: !0,
                  type: "string"
                },
                yValue: {
                  required: !0,
                  type: "string"
                }
              },
              type: "object"
            },
            maxItems: 9,
            minItems: 1,
            required: !0,
            type: "array"
          }
        },
        required: !0,
        type: "object"
      },
      parameters: {
        items: {
          additionalProperties: !1,
          properties: {
            name: {
              required: !0,
              type: "string"
            },
            value: {
              required: !0,
              type: "string"
            }
          },
          type: "object"
        },
        type: "array"
      },
      simulation: {
        additionalProperties: !1,
        properties: {
          opencor: {
            additionalProperties: !1,
            properties: {
              endingPoint: {
                type: "number"
              },
              pointInterval: {
                type: "number"
              },
              resource: {
                required: !0,
                type: "string"
              }
            },
            type: "object"
          },
          solvers: {
            items: {
              additionalProperties: !1,
              properties: {
                if: {
                  type: "string"
                },
                input: {
                  additionalProperties: !1,
                  properties: {
                    name: {
                      required: !0,
                      type: "string"
                    },
                    value: {
                      required: !0,
                      type: "string"
                    }
                  },
                  type: "object"
                },
                name: {
                  required: !0,
                  type: "string"
                },
                version: {
                  required: !0,
                  type: "string"
                }
              },
              type: "object"
            },
            minItems: 1,
            required: !0,
            type: "array"
          }
        },
        required: r,
        type: "object"
      }
    },
    type: "object"
  }, a = t.validate(e, n, { nestedErrors: !0 });
  if (!a.valid)
    return console.warn(a.toString()), !1;
  const i = {};
  if (!e.input.every((c) => {
    if (c.id !== void 0) {
      if (c.id === "")
        return console.warn("JSON: the input id must not be empty."), !1;
      if (i[c.id] !== void 0)
        return console.warn("JSON: the input id must be unique (" + c.id + " is used more than once)."), !1;
      i[c.id] = !0;
    }
    if (c.name === "")
      return console.warn("JSON: the input name must not be empty."), !1;
    if (c.possibleValues !== void 0) {
      if (!c.possibleValues.every((p) => p.name === "" ? (console.warn("JSON: an input possible value must not be empty."), !1) : !0))
        return !1;
      const f = c.possibleValues.map((p) => p.value), d = {};
      if (!f.every((p) => d[p] !== void 0 ? (console.warn("JSON: an input possible value must have a unique value (" + p + " is used more than once)."), !1) : (d[p] = !0, !0)))
        return !1;
      if (!f.includes(c.defaultValue))
        return console.warn("JSON: the input default value (" + c.defaultValue + ") must be one of the possible values (" + f.join(", ") + ")."), !1;
    }
    if (c.minimumValue !== void 0 && c.maximumValue !== void 0) {
      if (c.minimumValue >= c.maximumValue)
        return console.warn("JSON: the input minimum value (" + c.minimumValue + ") must be lower than the maximum value (" + c.maximumValue + ")."), !1;
      if (c.defaultValue < c.minimumValue || c.defaultValue > c.maximumValue)
        return console.warn("JSON: the input default value (" + c.defaultValue + ") must be greater or equal than the minimum value (" + c.minimumValue + ") and lower or equal than the maximum value (" + c.maximumValue + ")."), !1;
      const f = c.maximumValue - c.minimumValue;
      if (c.stepValue !== void 0) {
        if (c.stepValue <= 0 || c.stepValue > f)
          return console.warn("JSON: the input step value (" + c.stepValue + ") must be greater than zero and lower or equal than the range value (" + f + ")."), !1;
        if (!Number.isInteger(f / c.stepValue))
          return console.warn("JSON: the input step value (" + c.stepValue + ") must be a factor of the range value (" + f + ")."), !1;
      } else if (!Number.isInteger(f))
        return console.warn("JSON: the (default) input step value (1) must be a factor of the range value (" + f + ")."), !1;
    }
    return c.visible !== void 0 && c.visible === "" ? (console.warn("JSON: the input visible must not be empty."), !1) : !0;
  }))
    return !1;
  const l = {};
  if (!e.output.data.every((c) => {
    if (c.id !== void 0) {
      if (c.id === "")
        return console.warn("JSON: the output data id must not be empty."), !1;
      if (l[c.id] !== void 0)
        return console.warn("JSON: the output data id must be unique (" + c.id + " is used more than once)."), !1;
      l[c.id] = !0;
    }
    return c.name === "" ? (console.warn("JSON: the output data name must not be empty."), !1) : !0;
  }) || !e.output.plots.every((c) => c.xAxisTitle === "" ? (console.warn("JSON: the output plot X axis title must not be empty."), !1) : c.xValue === "" ? (console.warn("JSON: the output plot X value must not be empty."), !1) : c.yAxisTitle === "" ? (console.warn("JSON: the output plot Y axis title must not be empty."), !1) : c.yValue === "" ? (console.warn("JSON: the output plot Y value must not be empty."), !1) : !0) || e.parameters !== void 0 && !e.parameters.every((f) => f.name === "" ? (console.warn("JSON: the parameter name must not be empty."), !1) : f.value === "" ? (console.warn("JSON: the parameter value must not be empty."), !1) : !0))
    return !1;
  if (r) {
    let c = !1;
    if (!e.simulation.solvers.every((f) => {
      if (f.if !== void 0 && f.if === "")
        return console.warn("JSON: a simulation solver if must not be empty."), !1;
      if (f.input !== void 0) {
        if (f.input.name === "")
          return console.warn("JSON: a simulation solver input name must not be empty."), !1;
        if (f.input.value === "")
          return console.warn("JSON: a simulation solver input value must not be empty."), !1;
      }
      return f.name === "" ? (console.warn("JSON: a simulation solver name must not be empty."), !1) : (c = c || f.name === t1, f.version === "" ? (console.warn("JSON: a simulation solver version must not be empty."), !1) : !0);
    }))
      return !1;
    if (c && e.simulation.opencor === void 0)
      return console.warn("JSON: the simulation solver for OpenCOR is specified so simulation OpenCOR settings must also be specified."), !1;
    if (e.simulation.opencor !== void 0) {
      if (e.simulation.opencor.resource === "")
        return console.warn("JSON: the simulation OpenCOR resource must not be empty."), !1;
      if (e.simulation.opencor.endingPoint !== void 0)
        if (e.simulation.opencor.pointInterval !== void 0) {
          if (e.simulation.opencor.endingPoint <= 0)
            return console.warn("JSON: the simulation OpenCOR ending point (" + e.simulation.opencor.endingPoint + ") must be greater than zero."), !1;
          if (e.simulation.opencor.pointInterval <= 0)
            return console.warn("JSON: the simulation OpenCOR point interval (" + e.simulation.opencor.pointInterval + ") must be greater than zero."), !1;
        } else
          return console.warn("JSON: a simulation OpenCOR ending point is specified so a simulation OpenCOR point interval must also be specified."), !1;
      else if (e.simulation.opencor.pointInterval !== void 0)
        return console.warn("JSON: a simulation OpenCOR point interval is specified so a simulation OpenCOR ending point must also be specified."), !1;
    }
  }
  return !0;
}
const pk = "libOpenCOR", mk = "oSPARC", bu = "https://models.physiomeproject.org/", vk = dc(r1, {}), Bn = Object.freeze({
  DATASET_ID: "dataset_id",
  DATASET_URL: "dataset_url",
  PMR_PATH: "pmr_path",
  RAW_COMBINE_ARCHIVE: "raw_combine_archive"
}), hk = {
  LIBOPENCOR_SOLVER: pk,
  OSPARC_SOLVER: mk,
  name: "SimulationVuer",
  components: {
    PlotVuer: L1,
    SimulationVuerInput: i1,
    ElButton: M0,
    ElDivider: _0,
    ElLoading: mC
  },
  props: {
    /**
     * The URL of a running copy of the [SPARC API](https://github.com/nih-sparc/sparc-api).
     */
    apiLocation: {
      required: !0,
      type: String
    },
    /**
     * Either:<br/>
     * <li>the id of a SPARC simulation-based dataset (as a `Number`, e.g., `135`);</li>
     * <li>the [PMR](https://models.physiomeproject.org/) path to an [OMEX](https://combinearchive.org/) file (as a `String`, e.g., `workspace/b7c/rawfile/e0ae8d2d56aaaa091e23e1ee7e84cacbda1dfb6b/135.omex`);</li>
     * <li>the direct URL to an OMEX file (as a `String`, e.g., `https://raw.githubusercontent.com/opencor/webapp/refs/heads/main/tests/models/ui/135.omex`); or</li>
     * <li>a raw OMEX file (as a `Uint8Array`).</li>
     */
    id: {
      required: !0,
      type: [Number, String, Uint8Array]
    }
  },
  data: function() {
    let e;
    if (typeof this.id == "number" ? e = Bn.DATASET_ID : this.id instanceof Uint8Array ? e = Bn.RAW_COMBINE_ARCHIVE : this.id.startsWith("https://") ? e = Bn.DATASET_URL : e = Bn.PMR_PATH, e === Bn.DATASET_ID) {
      const r = new XMLHttpRequest();
      r.open("GET", this.apiLocation + "/sim/dataset/" + this.id), r.onreadystatechange = () => {
        if (r.readyState === 4 && r.status === 200) {
          const t = JSON.parse(r.responseText);
          this.name = t.name, this.uuid = t.study !== void 0 ? t.study.uuid : void 0;
        }
      }, r.send();
    }
    return {
      errorMessage: "",
      fileManager: void 0,
      hasFinalisedUi: !1,
      hasValidSimulationUiInfo: !1,
      idType: e,
      instance: void 0,
      isMounted: !1,
      isSimulationValid: !0,
      layout: [],
      libopencor: void 0,
      libopencorSet: !1,
      model: void 0,
      name: null,
      opencorBasedSimulation: !0,
      output: void 0,
      perfectScollbarOptions: {
        suppressScrollX: !0
      },
      showUserMessage: !1,
      simulationResults: {},
      simulationResultsId: {},
      simulationUiInfo: {},
      solver: void 0,
      userMessage: "",
      ui: null,
      uuid: null
    };
  },
  methods: {
    /**
     * @public
     * Generate the metadata associated with the plot which `index` is given.
     * @arg `index`
     */
    plotMetadata(e) {
      return {
        version: "1.1.0",
        type: "plot",
        attrs: {
          style: "timeseries",
          layout: this.layout[e]
        }
      };
    },
    /**
     * @public
     * Manage the file associated with the given `url` and `fileContents`.
     * @arg `url`
     * @arg `fileContents`
     */
    manageFile(e, r) {
      let t = this.fileManager.file(e);
      t === null && (t = new this.libopencor.File(e));
      const n = this.libopencor._malloc(r.length);
      return new Uint8Array(this.libopencor.HEAPU8.buffer, n, r.length).set(r), t.setContents(n, r.length), this.libopencor._free(n), t;
    },
    /**
     * @public
     * Run a PMR-based COMBINE archive using libOpenCOR.
     */
    runSimulation() {
      if (this.instance === void 0) {
        const a = new this.libopencor.SedDocument(this.fileManager.file(bu + this.id));
        this.model = ro(a.model()), this.instance = ro(a.instantiate()), a.delete();
      }
      this.model.removeAllChanges();
      for (const [a, i] of Object.entries(this.parametersData())) {
        const o = a.split("/");
        this.model.addChange(new this.libopencor.SedChangeAttribute(o[0], o[1], i.toString()));
      }
      this.instance.run();
      const e = {}, r = this.instance.task(0);
      let t = !0, n;
      for (const a of this.outputData()) {
        if (n = !1, a === r.voiName && (e[a] = r.voiAsArray, n = !0), e[a] === void 0) {
          for (let i = 0; i < r.stateCount; ++i)
            if (a === r.stateName(i)) {
              e[a] = r.stateAsArray(i), n = !0;
              break;
            }
        }
        if (e[a] === void 0) {
          for (let i = 0; i < r.rateCount; ++i)
            if (a === r.rateName(i)) {
              e[a] = r.rateAsArray(i), n = !0;
              break;
            }
        }
        if (e[a] === void 0) {
          for (let i = 0; i < r.constantCount; ++i)
            if (a === r.constantName(i)) {
              e[a] = r.constantAsArray(i), n = !0;
              break;
            }
        }
        if (e[a] === void 0) {
          for (let i = 0; i < r.computedConstantCount; ++i)
            if (a === r.computedConstantName(i)) {
              e[a] = r.computedConstantAsArray(i), n = !0;
              break;
            }
        }
        if (e[a] === void 0) {
          for (let i = 0; i < r.algebraicCount; ++i)
            if (a === r.algebraicName(i)) {
              e[a] = r.algebraicAsArray(i), n = !0;
              break;
            }
        }
        n || (console.warn("SIMULATION: output '" + a + "' could not be found."), t = !1);
      }
      t ? this.processSimulationResults(e) : (this.hasValidSimulationUiInfo = !1, this.errorMessage = "some outputs could not be found"), this.showUserMessage = !1;
    },
    /**
     * @public
     * Build the simulation UI using `simulationUiInfo`, a JSON object that describes the contents of the simulation UI.
     * @arg `simulationUiInfo`
     */
    buildSimulationUi(e) {
      if (this.simulationUiInfo = e, this.hasValidSimulationUiInfo = dk(this.simulationUiInfo, this.libopencor === void 0), !this.hasValidSimulationUiInfo) {
        this.errorMessage = "the simulation.json file is malformed";
        return;
      }
      if (this.libopencor === void 0) {
        if (this.simulationUiInfo.simulation.solvers.forEach((t) => {
          (t.if === void 0 || tl(this, t.if)) && (this.solver = t);
        }), this.solver === void 0) {
          this.hasValidSimulationUiInfo = !1, this.errorMessage = "no solver name and/or solver version specified";
          return;
        }
        this.opencorBasedSimulation = this.solver.name === t1;
      }
      this.simulationUiInfo.output.data.forEach((t) => {
        this.simulationResultsId[t.id] = t.name;
      });
      let r = -1;
      this.simulationUiInfo.output.plots.forEach((t) => {
        ++r, this.layout[r] = {
          paper_bgcolor: "rgba(0, 0, 0, 0)",
          plot_bgcolor: "rgba(0, 0, 0, 0)",
          autosize: !0,
          margin: {
            t: 25,
            l: 55,
            r: 25,
            b: 30,
            pad: 4
          },
          loading: !1,
          options: {
            responsive: !0,
            scrollZoom: !0
          },
          dragmode: "pan",
          xaxis: {
            title: {
              text: t.xAxisTitle,
              font: {
                size: 10
              }
            }
          },
          yaxis: {
            title: {
              text: t.yAxisTitle,
              font: {
                size: 10
              }
            }
          }
        };
      }), this.$nextTick(() => {
        fh(this);
      });
    },
    /**
     * @public
     * Extract the simulation UI JSON file from the given file contents and build the simulation UI.
     * @arg `libopencor`
     * @arg `fileContents`
     */
    extractAndBuildSimulationUi(e, r) {
      this.libopencor = ro(e), this.libopencorSet = !0, this.fileManager = ro(this.libopencor.FileManager.instance());
      const t = this.manageFile(bu + this.id, r);
      if (t.type.value !== e.File.Type.COMBINE_ARCHIVE.value)
        this.showUserMessage = !1;
      else {
        const n = new TextDecoder(), a = t.childFileFromFileName("simulation.json");
        if (a === null)
          this.errorMessage = "no simulation JSON file could be found", this.showUserMessage = !1;
        else {
          const i = JSON.parse(n.decode(a.contents()));
          this.showUserMessage = !1, this.$nextTick(() => {
            this.buildSimulationUi(i);
          });
        }
      }
    },
    /**
     * @public
     * Run the simulation-based dataset directly on oSPARC. Not all simulation-based datasets can be run directly on
     * oSPARC, but for those that can the simulation UI shows a `Run on oSPARC` button which, when clicked, calls this
     * method.
     */
    runOnOsparc() {
      window.open(`https://osparc.io/study/${this.uuid}`, "_blank");
    },
    /**
     * @public
     * View the simulation-based dataset on the SPARC portal. The simulation UI has a `View Dataset` button which, when
     * clicked, calls this method.
     */
    viewDataset() {
      window.open(`https://sparc.science/datasets/${this.id}?type=dataset`, "_blank");
    },
    /**
     * @public
     * View the simulation-based dataset on PMR. The simulation UI has a `View Workspace` button which, when clicked,
     * calls this method.
     */
    viewWorkspace() {
      const e = bu + this.id;
      window.open(e.substring(0, e.lastIndexOf("/")), "_blank");
    },
    /**
     * @public
     * Data needed to set a model's parameters.
     */
    parametersData() {
      const e = {};
      return this.simulationUiInfo.parameters.forEach((r) => {
        e[r.name] = tl(this, r.value);
      }), e;
    },
    /**
     * @public
     * Data needed to specify the model output.
     */
    outputData() {
      return this.output === void 0 && this.simulationUiInfo.output.data !== void 0 && (this.output = [], this.simulationUiInfo.output.data.forEach((e) => {
        this.output.push(e.name);
      })), this.output;
    },
    /**
     * @public
     * Create the `request` that is going to be used by `startSimulation` to ask oSPARC to start the simulation.
     */
    retrieveRequest() {
      const e = {
        solver: this.solver
      };
      if (this.opencorBasedSimulation) {
        e.opencor = {
          model_url: this.simulationUiInfo.simulation.opencor.resource,
          json_config: {}
        }, this.simulationUiInfo.simulation.opencor.endingPoint !== void 0 && this.simulationUiInfo.simulation.opencor.pointInterval !== void 0 && (e.opencor.json_config.simulation = {
          "Ending point": this.simulationUiInfo.simulation.opencor.endingPoint,
          "Point interval": this.simulationUiInfo.simulation.opencor.pointInterval
        }), e.opencor.json_config.parameters = this.parametersData();
        const r = this.outputData();
        r !== void 0 && (e.opencor.json_config.output = r);
      } else
        e.osparc = {}, e.osparc.job_inputs = this.parametersData();
      return e;
    },
    /**
     * @public
     * Process the simulation results retrieved by `checkSimulation`. The simulation results are post-processed, if
     * needed, and then readied for use by `PlotVuer`.
     * @arg `results`
     */
    processSimulationResults(e) {
      if (typeof e == "string") {
        const n = /[ \t]+/g, a = e.trim().split(`
`), i = a[0].trim().split(n).length;
        e = {};
        for (let l = 0; l < i; ++l)
          e[l] = [];
        let o = -1;
        a.forEach((l) => {
          ++o;
          let u = -1;
          l.trim().split(n).forEach((c) => {
            e[++u][o] = Number(c);
          });
        });
      }
      const r = new vk.parser();
      Object.keys(this.simulationResultsId).forEach((n) => {
        r.set(n, e[this.simulationResultsId[n]]);
      });
      let t = -1;
      this.simulationUiInfo.output.plots.forEach((n) => {
        this.simulationResults[++t] = [
          {
            x: r.evaluate(n.xValue),
            y: r.evaluate(n.yValue),
            type: "scatter"
          }
        ];
      });
    },
    /**
     * @public
     * Show an HTTP issue using the given `xmlhttp`.
     * @arg `xmlhttp`
     */
    showHttpIssue(e) {
      this.isSimulationValid = !1, this.showUserMessage = !1, this.errorMessage = e.statusText.toLowerCase() + " (<a href='https://httpstatuses.com/" + e.status + "/' target='_blank'>" + e.status + "</a>)";
    },
    /**
     * @public
     * Check the progress of the simulation using the given `data`, a JSON object that contains the simulation job ID,
     * as well as the solver name and version. This method is first called by `startSimulation` and then every second by
     * itself until the simulation is finished.
     * @arg `data`
     */
    checkSimulation(e) {
      const r = new XMLHttpRequest();
      r.open("POST", this.apiLocation + "/check_simulation"), r.setRequestHeader("Content-type", "application/json"), r.onreadystatechange = () => {
        if (r.readyState === 4)
          if (r.status === 200) {
            let t = JSON.parse(r.responseText);
            if (this.isSimulationValid = t.status === "ok", this.isSimulationValid)
              if (t.results !== void 0)
                this.showUserMessage = !1, this.processSimulationResults(t.results);
              else {
                let n = this;
                setTimeout(function() {
                  n.checkSimulation(e);
                }, 1e3);
              }
            else
              this.showUserMessage = !1, this.errorMessage = t.description;
          } else
            this.showHttpIssue(r);
      }, r.send(JSON.stringify(e));
    },
    /**
     * @public
     * Start the simulation associated with the simulation-based dataset. The simulation UI has a `Run Simulation`
     * button which, when clicked, calls this method.
     */
    startSimulation() {
      this.userMessage = "Loading simulation results...", this.showUserMessage = !0, this.$nextTick(() => {
        this.simulationResults = {};
        const e = new XMLHttpRequest();
        e.open("POST", this.apiLocation + "/start_simulation"), e.setRequestHeader("Content-type", "application/json"), e.onreadystatechange = () => {
          if (e.readyState === 4)
            if (e.status === 200) {
              let r = JSON.parse(e.responseText);
              this.isSimulationValid = r.status === "ok", this.isSimulationValid ? this.checkSimulation(r.data) : (this.showUserMessage = !1, this.errorMessage = r.description);
            } else
              this.showHttpIssue(e);
        }, e.send(JSON.stringify(this.retrieveRequest()));
      });
    }
  },
  created: function() {
    this.idType === Bn.DATASET_ID ? (this.userMessage = "Retrieving UI information...", this.showUserMessage = !0, this.$nextTick(() => {
      const e = new XMLHttpRequest();
      e.open("GET", this.apiLocation + "/simulation_ui_file/" + this.id), e.onreadystatechange = () => {
        e.readyState === 4 && (this.showUserMessage = !1, e.status === 200 ? this.$nextTick(() => {
          this.buildSimulationUi(JSON.parse(e.responseText));
        }) : this.errorMessage = "the simulation dataset could not be retrieved");
      }, e.send();
    })) : this.idType === Bn.DATASET_URL ? (this.userMessage = "Retrieving COMBINE archive...", this.showUserMessage = !0, this.$nextTick(() => {
      const e = new XMLHttpRequest();
      e.open("GET", this.id), e.responseType = "arraybuffer", e.onreadystatechange = () => {
        e.readyState === 4 && (e.status === 200 ? Js().then((r) => {
          this.extractAndBuildSimulationUi(r, new Uint8Array(e.response));
        }) : (this.errorMessage = "the COMBINE archive could not be retrieved", this.showUserMessage = !1));
      }, e.send();
    })) : this.idType === Bn.PMR_PATH ? (this.userMessage = "Retrieving COMBINE archive from PMR...", this.showUserMessage = !0, this.$nextTick(() => {
      const e = new XMLHttpRequest();
      e.open("POST", this.apiLocation + "/pmr_file"), e.setRequestHeader("Content-type", "application/json"), e.onreadystatechange = () => {
        e.readyState === 4 && (e.status === 200 ? Js().then((r) => {
          this.extractAndBuildSimulationUi(r, Uint8Array.from(atob(e.response), (t) => t.charCodeAt(0)));
        }) : (this.errorMessage = "the COMBINE archive chould not be retrieved from PMR", this.showUserMessage = !1));
      }, e.send(JSON.stringify({ path: this.id }));
    })) : (this.userMessage = "Retrieving COMBINE archive...", this.showUserMessage = !0, this.$nextTick(() => {
      Js().then((e) => {
        this.extractAndBuildSimulationUi(e, this.id);
      });
    }));
  },
  mounted: function() {
    this.isMounted = !0, fh(this);
  }
}, gk = ["element-loading-text"], yk = {
  key: 0,
  class: "default error"
}, bk = {
  key: 1,
  class: "main"
}, wk = { class: "main-left" }, xk = {
  key: 0,
  class: "default name"
}, Ak = { class: "input scrollbar" }, Nk = {
  key: 2,
  class: "primary-button"
}, Dk = {
  key: 3,
  class: "secondary-button"
}, Ek = {
  key: 4,
  class: "secondary-button"
}, Sk = {
  key: 5,
  class: "secondary-button"
}, Ck = {
  key: 6,
  class: "default note"
}, Mk = {
  class: "main-right",
  ref: "output"
}, _k = { class: "main-right" }, Fk = { class: "default error" }, Tk = ["innerHTML"];
function Ok(e, r, t, n, a, i) {
  const o = _0, l = i1, u = M0, s = $n("PlotVuer"), c = Ru;
  return at((he(), Ce("div", {
    class: "simulation-vuer",
    "element-loading-text": e.userMessage
  }, [
    !e.hasValidSimulationUiInfo && !e.showUserMessage ? (he(), Ce("p", yk, [
      r[4] || (r[4] = $e("span", { class: "error" }, "Error:", -1)),
      dn(" " + qr(e.errorMessage) + ".", 1)
    ])) : Be("", !0),
    e.hasValidSimulationUiInfo ? (he(), Ce("div", bk, [
      $e("div", wk, [
        e.libopencorSet ? Be("", !0) : (he(), Ce("p", xk, qr(e.name), 1)),
        e.libopencorSet ? Be("", !0) : (he(), He(o, { key: 1 })),
        r[9] || (r[9] = $e("p", { class: "default input-parameters" }, "Input parameters", -1)),
        $e("div", Ak, [
          (he(!0), Ce(nt, null, Gn(e.simulationUiInfo.input, (f, d) => (he(), He(l, {
            ref_for: !0,
            ref: "simInput",
            defaultValue: f.defaultValue,
            key: `input-${d}`,
            name: f.name,
            maximumValue: f.maximumValue,
            minimumValue: f.minimumValue,
            possibleValues: f.possibleValues,
            stepValue: f.stepValue
          }, null, 8, ["defaultValue", "name", "maximumValue", "minimumValue", "possibleValues", "stepValue"]))), 128))
        ]),
        e.libopencorSet ? Be("", !0) : (he(), Ce("div", Nk, [
          mr(u, {
            type: "primary",
            size: "small",
            onClick: r[0] || (r[0] = (f) => i.startSimulation())
          }, {
            default: Ve(() => [...r[5] || (r[5] = [
              dn("Run Simulation", -1)
            ])]),
            _: 1
          })
        ])),
        e.uuid ? (he(), Ce("div", Dk, [
          mr(u, {
            size: "small",
            onClick: r[1] || (r[1] = (f) => i.runOnOsparc())
          }, {
            default: Ve(() => [...r[6] || (r[6] = [
              dn("Run on oSPARC", -1)
            ])]),
            _: 1
          })
        ])) : Be("", !0),
        e.libopencorSet ? Be("", !0) : (he(), Ce("div", Ek, [
          mr(u, {
            size: "small",
            onClick: r[2] || (r[2] = (f) => i.viewDataset())
          }, {
            default: Ve(() => [...r[7] || (r[7] = [
              dn("View Dataset", -1)
            ])]),
            _: 1
          })
        ])),
        e.libopencorSet && e.idType === "pmr_path" ? (he(), Ce("div", Sk, [
          mr(u, {
            size: "small",
            onClick: r[3] || (r[3] = (f) => i.viewWorkspace())
          }, {
            default: Ve(() => [...r[8] || (r[8] = [
              dn("View Workspace", -1)
            ])]),
            _: 1
          })
        ])) : Be("", !0),
        e.uuid ? (he(), Ce("p", Ck, "Additional parameters are available on oSPARC")) : Be("", !0)
      ]),
      at($e("div", Mk, [
        (he(!0), Ce(nt, null, Gn(e.simulationUiInfo.output.plots, (f, d) => (he(), He(s, {
          key: `output-${d}`,
          metadata: i.plotMetadata(d),
          "data-source": { data: e.simulationResults[d] },
          plotLayout: e.layout[d],
          plotType: "plotly-only",
          selectorUi: !1
        }, null, 8, ["metadata", "data-source", "plotLayout"]))), 128))
      ], 512), [
        [Nn, e.isSimulationValid]
      ]),
      at($e("div", _k, [
        $e("p", Fk, [
          r[10] || (r[10] = $e("span", { class: "error" }, "Error:", -1)),
          r[11] || (r[11] = dn()),
          $e("span", { innerHTML: e.errorMessage }, null, 8, Tk),
          r[12] || (r[12] = dn(".", -1))
        ])
      ], 512), [
        [Nn, !e.isSimulationValid]
      ])
    ])) : Be("", !0)
  ], 8, gk)), [
    [c, e.showUserMessage]
  ]);
}
const Rk = /* @__PURE__ */ a1(hk, [["render", Ok], ["__scopeId", "data-v-295b46c4"]]);
export {
  Rk as SimulationVuer
};