-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathmath.js
41 lines (41 loc) · 675 KB
/
math.js
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
/**
* math.js
* https://github.com/josdejong/mathjs
*
* Math.js is an extensive math library for JavaScript and Node.js,
* It features real and complex numbers, units, matrices, a large set of
* mathematical functions, and a flexible expression parser.
*
* @version 10.6.0
* @date 2022-05-24
*
* @license
* Copyright (C) 2013-2022 Jos de Jong <wjosdejong@gmail.com>
*
* Licensed under the Apache License, Version 2.0 (the "License"); you may not
* use this file except in compliance with the License. You may obtain a copy
* of the License at
*
* https://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
* License for the specific language governing permissions and limitations under
* the License.
*/
!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t():"function"==typeof define&&define.amd?define([],t):"object"==typeof exports?exports.math=t():e.math=t()}(this,(function(){return function(e){var t={};function r(n){if(t[n])return t[n].exports;var i=t[n]={i:n,l:!1,exports:{}};return e[n].call(i.exports,i,i.exports,r),i.l=!0,i.exports}return r.m=e,r.c=t,r.d=function(e,t,n){r.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:n})},r.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},r.t=function(e,t){if(1&t&&(e=r(e)),8&t)return e;if(4&t&&"object"==typeof e&&e&&e.__esModule)return e;var n=Object.create(null);if(r.r(n),Object.defineProperty(n,"default",{enumerable:!0,value:e}),2&t&&"string"!=typeof e)for(var i in e)r.d(n,i,function(t){return e[t]}.bind(null,i));return n},r.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return r.d(t,"a",t),t},r.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},r.p="",r(r.s=274)}([function(e,t,r){var n=r(115),i=r(35),a=r(200);n||i(Object.prototype,"toString",a,{unsafe:!0})},function(e,t,r){(function(t){var r=function(e){return e&&e.Math==Math&&e};e.exports=r("object"==typeof globalThis&&globalThis)||r("object"==typeof window&&window)||r("object"==typeof self&&self)||r("object"==typeof t&&t)||function(){return this}()||Function("return this")()}).call(this,r(196))},,function(e,t,r){var n=r(1),i=r(59).f,a=r(55),o=r(35),s=r(111),u=r(144),c=r(84);e.exports=function(e,t){var r,f,l,p,m,h=e.target,d=e.global,v=e.stat;if(r=d?n:v?n[h]||s(h,{}):(n[h]||{}).prototype)for(f in t){if(p=t[f],l=e.noTargetGet?(m=i(r,f))&&m.value:r[f],!c(d?f:h+(v?".":"#")+f,e.forced)&&void 0!==l){if(typeof p==typeof l)continue;u(p,l)}(e.sham||l&&l.sham)&&a(p,"sham",!0),o(r,f,p,e)}}},function(e,t,r){"use strict";var n=r(3),i=r(85).map;n({target:"Array",proto:!0,forced:!r(86)("map")},{map:function(e){return i(this,e,arguments.length>1?arguments[1]:void 0)}})},function(e,t){function r(t){return e.exports=r="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e},e.exports.__esModule=!0,e.exports.default=e.exports,r(t)}e.exports=r,e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t,r){var n=r(1),i=r(147),a=r(148),o=r(201),s=r(55),u=function(e){if(e&&e.forEach!==o)try{s(e,"forEach",o)}catch(t){e.forEach=o}};for(var c in i)i[c]&&u(n[c]&&n[c].prototype);u(a)},function(e,t){e.exports=function(e){try{return!!e()}catch(e){return!0}}},function(e,t,r){"use strict";var n=r(81).PROPER,i=r(35),a=r(24),o=r(28),s=r(7),u=r(153),c=RegExp.prototype.toString,f=s((function(){return"/a/b"!=c.call({source:"a",flags:"b"})})),l=n&&"toString"!=c.name;(f||l)&&i(RegExp.prototype,"toString",(function(){var e=a(this);return"/"+o(e.source)+"/"+o(u(e))}),{unsafe:!0})},function(e,t,r){var n=r(94),i=Function.prototype,a=i.bind,o=i.call,s=n&&a.bind(o,o);e.exports=n?function(e){return e&&s(e)}:function(e){return e&&function(){return o.apply(e,arguments)}}},function(e,t,r){"use strict";var n=r(3),i=r(105);n({target:"RegExp",proto:!0,forced:/./.exec!==i},{exec:i})},function(e,t,r){r(240),r(248),r(249),r(250),r(251),r(252)},function(e,t){e.exports=function(e){return"function"==typeof e}},function(e,t,r){var n=r(21),i=r(81).EXISTS,a=r(9),o=r(23).f,s=Function.prototype,u=a(s.toString),c=/function\b(?:\s|\/\*[\S\s]*?\*\/|\/\/[^\n\r]*[\n\r]+)*([^\s(/]*)/,f=a(c.exec);n&&!i&&o(s,"name",{configurable:!0,get:function(){try{return f(c,u(this))[1]}catch(e){return""}}})},function(e,t,r){"use strict";var n=r(3),i=r(17);n({target:"URL",proto:!0,enumerable:!0},{toJSON:function(){return i(URL.prototype.toString,this)}})},function(e,t,r){var n=r(1),i=r(68),a=r(22),o=r(96),s=r(66),u=r(140),c=i("wks"),f=n.Symbol,l=f&&f.for,p=u?f:f&&f.withoutSetter||o;e.exports=function(e){if(!a(c,e)||!s&&"string"!=typeof c[e]){var t="Symbol."+e;s&&a(f,e)?c[e]=f[e]:c[e]=u&&l?l(t):p(t)}return c[e]}},function(e,t,r){"use strict";var n=r(3),i=r(9),a=r(109),o=r(39),s=r(117),u=i([].join),c=a!=Object,f=s("join",",");n({target:"Array",proto:!0,forced:c||!f},{join:function(e){return u(o(this),void 0===e?",":e)}})},function(e,t,r){var n=r(94),i=Function.prototype.call;e.exports=n?i.bind(i):function(){return i.apply(i,arguments)}},function(e,t,r){"use strict";var n=r(3),i=r(1),a=r(102),o=r(103),s=r(25),u=r(83),c=r(47),f=r(39),l=r(72),p=r(15),m=r(86),h=r(123),d=m("slice"),v=p("species"),y=i.Array,g=Math.max;n({target:"Array",proto:!0,forced:!d},{slice:function(e,t){var r,n,i,p=f(this),m=c(p),d=u(e,m),x=u(void 0===t?m:t,m);if(a(p)&&(r=p.constructor,(o(r)&&(r===y||a(r.prototype))||s(r)&&null===(r=r[v]))&&(r=void 0),r===y||void 0===r))return h(p,d,x);for(n=new(void 0===r?y:r)(g(x-d,0)),i=0;d<x;d++,i++)d in p&&l(n,i,p[d]);return n.length=i,n}})},function(e,t,r){"use strict";var n=r(3),i=r(1),a=r(7),o=r(102),s=r(25),u=r(37),c=r(47),f=r(72),l=r(116),p=r(86),m=r(15),h=r(79),d=m("isConcatSpreadable"),v=i.TypeError,y=h>=51||!a((function(){var e=[];return e[d]=!1,e.concat()[0]!==e})),g=p("concat"),x=function(e){if(!s(e))return!1;var t=e[d];return void 0!==t?!!t:o(e)};n({target:"Array",proto:!0,arity:1,forced:!y||!g},{concat:function(e){var t,r,n,i,a,o=u(this),s=l(o,0),p=0;for(t=-1,n=arguments.length;t<n;t++)if(x(a=-1===t?o:arguments[t])){if(p+(i=c(a))>9007199254740991)throw v("Maximum allowed index exceeded");for(r=0;r<i;r++,p++)r in a&&f(s,p,a[r])}else{if(p>=9007199254740991)throw v("Maximum allowed index exceeded");f(s,p++,a)}return s.length=p,s}})},function(e,t,r){var n=r(260),i=r(261),a=r(187),o=r(262);e.exports=function(e){return n(e)||i(e)||a(e)||o()},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t,r){var n=r(7);e.exports=!n((function(){return 7!=Object.defineProperty({},1,{get:function(){return 7}})[1]}))},function(e,t,r){var n=r(9),i=r(37),a=n({}.hasOwnProperty);e.exports=Object.hasOwn||function(e,t){return a(i(e),t)}},function(e,t,r){var n=r(1),i=r(21),a=r(141),o=r(142),s=r(24),u=r(95),c=n.TypeError,f=Object.defineProperty,l=Object.getOwnPropertyDescriptor;t.f=i?o?function(e,t,r){if(s(e),t=u(t),s(r),"function"==typeof e&&"prototype"===t&&"value"in r&&"writable"in r&&!r.writable){var n=l(e,t);n&&n.writable&&(e[t]=r.value,r={configurable:"configurable"in r?r.configurable:n.configurable,enumerable:"enumerable"in r?r.enumerable:n.enumerable,writable:!1})}return f(e,t,r)}:f:function(e,t,r){if(s(e),t=u(t),s(r),a)try{return f(e,t,r)}catch(e){}if("get"in r||"set"in r)throw c("Accessors not supported");return"value"in r&&(e[t]=r.value),e}},function(e,t,r){var n=r(1),i=r(25),a=n.String,o=n.TypeError;e.exports=function(e){if(i(e))return e;throw o(a(e)+" is not an object")}},function(e,t,r){var n=r(12);e.exports=function(e){return"object"==typeof e?null!==e:n(e)}},function(e,t,r){"use strict";var n=r(3),i=r(85).find,a=r(128),o=!0;"find"in[]&&Array(1).find((function(){o=!1})),n({target:"Array",proto:!0,forced:o},{find:function(e){return i(this,e,arguments.length>1?arguments[1]:void 0)}}),a("find")},function(e,t,r){"use strict";var n=r(39),i=r(128),a=r(89),o=r(46),s=r(23).f,u=r(129),c=r(50),f=r(21),l=o.set,p=o.getterFor("Array Iterator");e.exports=u(Array,"Array",(function(e,t){l(this,{type:"Array Iterator",target:n(e),index:0,kind:t})}),(function(){var e=p(this),t=e.target,r=e.kind,n=e.index++;return!t||n>=t.length?(e.target=void 0,{value:void 0,done:!0}):"keys"==r?{value:n,done:!1}:"values"==r?{value:t[n],done:!1}:{value:[n,t[n]],done:!1}}),"values");var m=a.Arguments=a.Array;if(i("keys"),i("values"),i("entries"),!c&&f&&"values"!==m.name)try{s(m,"name",{value:"values"})}catch(e){}},function(e,t,r){var n=r(1),i=r(101),a=n.String;e.exports=function(e){if("Symbol"===i(e))throw TypeError("Cannot convert a Symbol value to a string");return a(e)}},function(e,t,r){"use strict";var n=r(3),i=r(1),a=r(83),o=r(61),s=r(47),u=r(37),c=r(116),f=r(72),l=r(86)("splice"),p=i.TypeError,m=Math.max,h=Math.min;n({target:"Array",proto:!0,forced:!l},{splice:function(e,t){var r,n,i,l,d,v,y=u(this),g=s(y),x=a(e,g),b=arguments.length;if(0===b?r=n=0:1===b?(r=0,n=g-x):(r=b-2,n=h(m(o(t),0),g-x)),g+r-n>9007199254740991)throw p("Maximum allowed length exceeded");for(i=c(y,n),l=0;l<n;l++)(d=x+l)in y&&f(i,l,y[d]);if(i.length=n,r<n){for(l=x;l<g-n;l++)v=l+r,(d=l+n)in y?y[v]=y[d]:delete y[v];for(l=g;l>g-n+r;l--)delete y[l-1]}else if(r>n)for(l=g-n;l>x;l--)v=l+r-1,(d=l+n-1)in y?y[v]=y[d]:delete y[v];for(l=0;l<r;l++)y[l+x]=arguments[l+2];return y.length=g-n+r,i}})},function(e,t,r){"use strict";var n=r(21),i=r(1),a=r(9),o=r(84),s=r(35),u=r(22),c=r(119),f=r(53),l=r(78),p=r(139),m=r(7),h=r(69).f,d=r(59).f,v=r(23).f,y=r(166),g=r(167).trim,x=i.Number,b=x.prototype,w=i.TypeError,N=a("".slice),M=a("".charCodeAt),E=function(e){var t=p(e,"number");return"bigint"==typeof t?t:S(t)},S=function(e){var t,r,n,i,a,o,s,u,c=p(e,"number");if(l(c))throw w("Cannot convert a Symbol value to a number");if("string"==typeof c&&c.length>2)if(c=g(c),43===(t=M(c,0))||45===t){if(88===(r=M(c,2))||120===r)return NaN}else if(48===t){switch(M(c,1)){case 66:case 98:n=2,i=49;break;case 79:case 111:n=8,i=55;break;default:return+c}for(o=(a=N(c,2)).length,s=0;s<o;s++)if((u=M(a,s))<48||u>i)return NaN;return parseInt(a,n)}return+c};if(o("Number",!x(" 0o1")||!x("0b1")||x("+0x1"))){for(var A,O=function(e){var t=arguments.length<1?0:x(E(e)),r=this;return f(b,r)&&m((function(){y(r)}))?c(Object(t),r,O):t},C=n?h(x):"MAX_VALUE,MIN_VALUE,NaN,NEGATIVE_INFINITY,POSITIVE_INFINITY,EPSILON,MAX_SAFE_INTEGER,MIN_SAFE_INTEGER,isFinite,isInteger,isNaN,isSafeInteger,parseFloat,parseInt,fromString,range".split(","),T=0;C.length>T;T++)u(x,A=C[T])&&!u(O,A)&&v(O,A,d(x,A));O.prototype=b,b.constructor=O,s(i,"Number",O)}},function(e,t,r){var n=r(1),i=r(147),a=r(148),o=r(27),s=r(55),u=r(15),c=u("iterator"),f=u("toStringTag"),l=o.values,p=function(e,t){if(e){if(e[c]!==l)try{s(e,c,l)}catch(t){e[c]=l}if(e[f]||s(e,f,t),i[t])for(var r in o)if(e[r]!==o[r])try{s(e,r,o[r])}catch(t){e[r]=o[r]}}};for(var m in i)p(n[m]&&n[m].prototype,m);p(a,"DOMTokenList")},function(e,t){function r(){return e.exports=r=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e},e.exports.__esModule=!0,e.exports.default=e.exports,r.apply(this,arguments)}e.exports=r,e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t,r){var n;
/**
* @license Complex.js v2.1.1 12/05/2020
*
* Copyright (c) 2020, Robert Eisele (robert@xarg.org)
* Dual licensed under the MIT or GPL Version 2 licenses.
**/!function(r){"use strict";var i=Math.cosh||function(e){return Math.abs(e)<1e-9?1-e:.5*(Math.exp(e)+Math.exp(-e))},a=Math.sinh||function(e){return Math.abs(e)<1e-9?e:.5*(Math.exp(e)-Math.exp(-e))},o=function(){throw SyntaxError("Invalid Param")};function s(e,t){var r=Math.abs(e),n=Math.abs(t);return 0===e?Math.log(n):0===t?Math.log(r):r<3e3&&n<3e3?.5*Math.log(e*e+t*t):(e/=2,t/=2,.5*Math.log(e*e+t*t)+Math.LN2)}function u(e,t){if(!(this instanceof u))return new u(e,t);var r=function(e,t){var r={re:0,im:0};if(null==e)r.re=r.im=0;else if(void 0!==t)r.re=e,r.im=t;else switch(typeof e){case"object":if("im"in e&&"re"in e)r.re=e.re,r.im=e.im;else if("abs"in e&&"arg"in e){if(!Number.isFinite(e.abs)&&Number.isFinite(e.arg))return u.INFINITY;r.re=e.abs*Math.cos(e.arg),r.im=e.abs*Math.sin(e.arg)}else if("r"in e&&"phi"in e){if(!Number.isFinite(e.r)&&Number.isFinite(e.phi))return u.INFINITY;r.re=e.r*Math.cos(e.phi),r.im=e.r*Math.sin(e.phi)}else 2===e.length?(r.re=e[0],r.im=e[1]):o();break;case"string":r.im=r.re=0;var n=e.match(/\d+\.?\d*e[+-]?\d+|\d+\.?\d*|\.\d+|./g),i=1,a=0;null===n&&o();for(var s=0;s<n.length;s++){var c=n[s];" "===c||"\t"===c||"\n"===c||("+"===c?i++:"-"===c?a++:"i"===c||"I"===c?(i+a===0&&o()," "===n[s+1]||isNaN(n[s+1])?r.im+=parseFloat((a%2?"-":"")+"1"):(r.im+=parseFloat((a%2?"-":"")+n[s+1]),s++),i=a=0):((i+a===0||isNaN(c))&&o(),"i"===n[s+1]||"I"===n[s+1]?(r.im+=parseFloat((a%2?"-":"")+c),s++):r.re+=parseFloat((a%2?"-":"")+c),i=a=0))}i+a>0&&o();break;case"number":r.im=0,r.re=e;break;default:o()}return isNaN(r.re)||isNaN(r.im),r}(e,t);this.re=r.re,this.im=r.im}u.prototype={re:0,im:0,sign:function(){var e=this.abs();return new u(this.re/e,this.im/e)},add:function(e,t){var r=new u(e,t);return this.isInfinite()&&r.isInfinite()?u.NAN:this.isInfinite()||r.isInfinite()?u.INFINITY:new u(this.re+r.re,this.im+r.im)},sub:function(e,t){var r=new u(e,t);return this.isInfinite()&&r.isInfinite()?u.NAN:this.isInfinite()||r.isInfinite()?u.INFINITY:new u(this.re-r.re,this.im-r.im)},mul:function(e,t){var r=new u(e,t);return this.isInfinite()&&r.isZero()||this.isZero()&&r.isInfinite()?u.NAN:this.isInfinite()||r.isInfinite()?u.INFINITY:0===r.im&&0===this.im?new u(this.re*r.re,0):new u(this.re*r.re-this.im*r.im,this.re*r.im+this.im*r.re)},div:function(e,t){var r=new u(e,t);if(this.isZero()&&r.isZero()||this.isInfinite()&&r.isInfinite())return u.NAN;if(this.isInfinite()||r.isZero())return u.INFINITY;if(this.isZero()||r.isInfinite())return u.ZERO;e=this.re,t=this.im;var n,i,a=r.re,o=r.im;return 0===o?new u(e/a,t/a):Math.abs(a)<Math.abs(o)?new u((e*(i=a/o)+t)/(n=a*i+o),(t*i-e)/n):new u((e+t*(i=o/a))/(n=o*i+a),(t-e*i)/n)},pow:function(e,t){var r=new u(e,t);if(e=this.re,t=this.im,r.isZero())return u.ONE;if(0===r.im){if(0===t&&e>0)return new u(Math.pow(e,r.re),0);if(0===e)switch((r.re%4+4)%4){case 0:return new u(Math.pow(t,r.re),0);case 1:return new u(0,Math.pow(t,r.re));case 2:return new u(-Math.pow(t,r.re),0);case 3:return new u(0,-Math.pow(t,r.re))}}if(0===e&&0===t&&r.re>0&&r.im>=0)return u.ZERO;var n=Math.atan2(t,e),i=s(e,t);return e=Math.exp(r.re*i-r.im*n),t=r.im*i+r.re*n,new u(e*Math.cos(t),e*Math.sin(t))},sqrt:function(){var e,t,r=this.re,n=this.im,i=this.abs();if(r>=0){if(0===n)return new u(Math.sqrt(r),0);e=.5*Math.sqrt(2*(i+r))}else e=Math.abs(n)/Math.sqrt(2*(i-r));return t=r<=0?.5*Math.sqrt(2*(i-r)):Math.abs(n)/Math.sqrt(2*(i+r)),new u(e,n<0?-t:t)},exp:function(){var e=Math.exp(this.re);return this.im,new u(e*Math.cos(this.im),e*Math.sin(this.im))},expm1:function(){var e=this.re,t=this.im;return new u(Math.expm1(e)*Math.cos(t)+function(e){var t=Math.PI/4;if(-t>e||e>t)return Math.cos(e)-1;var r=e*e;return r*(r*(r*(r*(r*(r*(r*(r/20922789888e3-1/87178291200)+1/479001600)-1/3628800)+1/40320)-1/720)+1/24)-.5)}(t),Math.exp(e)*Math.sin(t))},log:function(){var e=this.re,t=this.im;return new u(s(e,t),Math.atan2(t,e))},abs:function(){return e=this.re,t=this.im,r=Math.abs(e),n=Math.abs(t),r<3e3&&n<3e3?Math.sqrt(r*r+n*n):(r<n?(r=n,n=e/t):n=t/e,r*Math.sqrt(1+n*n));var e,t,r,n},arg:function(){return Math.atan2(this.im,this.re)},sin:function(){var e=this.re,t=this.im;return new u(Math.sin(e)*i(t),Math.cos(e)*a(t))},cos:function(){var e=this.re,t=this.im;return new u(Math.cos(e)*i(t),-Math.sin(e)*a(t))},tan:function(){var e=2*this.re,t=2*this.im,r=Math.cos(e)+i(t);return new u(Math.sin(e)/r,a(t)/r)},cot:function(){var e=2*this.re,t=2*this.im,r=Math.cos(e)-i(t);return new u(-Math.sin(e)/r,a(t)/r)},sec:function(){var e=this.re,t=this.im,r=.5*i(2*t)+.5*Math.cos(2*e);return new u(Math.cos(e)*i(t)/r,Math.sin(e)*a(t)/r)},csc:function(){var e=this.re,t=this.im,r=.5*i(2*t)-.5*Math.cos(2*e);return new u(Math.sin(e)*i(t)/r,-Math.cos(e)*a(t)/r)},asin:function(){var e=this.re,t=this.im,r=new u(t*t-e*e+1,-2*e*t).sqrt(),n=new u(r.re-t,r.im+e).log();return new u(n.im,-n.re)},acos:function(){var e=this.re,t=this.im,r=new u(t*t-e*e+1,-2*e*t).sqrt(),n=new u(r.re-t,r.im+e).log();return new u(Math.PI/2-n.im,n.re)},atan:function(){var e=this.re,t=this.im;if(0===e){if(1===t)return new u(0,1/0);if(-1===t)return new u(0,-1/0)}var r=e*e+(1-t)*(1-t),n=new u((1-t*t-e*e)/r,-2*e/r).log();return new u(-.5*n.im,.5*n.re)},acot:function(){var e=this.re,t=this.im;if(0===t)return new u(Math.atan2(1,e),0);var r=e*e+t*t;return 0!==r?new u(e/r,-t/r).atan():new u(0!==e?e/0:0,0!==t?-t/0:0).atan()},asec:function(){var e=this.re,t=this.im;if(0===e&&0===t)return new u(0,1/0);var r=e*e+t*t;return 0!==r?new u(e/r,-t/r).acos():new u(0!==e?e/0:0,0!==t?-t/0:0).acos()},acsc:function(){var e=this.re,t=this.im;if(0===e&&0===t)return new u(Math.PI/2,1/0);var r=e*e+t*t;return 0!==r?new u(e/r,-t/r).asin():new u(0!==e?e/0:0,0!==t?-t/0:0).asin()},sinh:function(){var e=this.re,t=this.im;return new u(a(e)*Math.cos(t),i(e)*Math.sin(t))},cosh:function(){var e=this.re,t=this.im;return new u(i(e)*Math.cos(t),a(e)*Math.sin(t))},tanh:function(){var e=2*this.re,t=2*this.im,r=i(e)+Math.cos(t);return new u(a(e)/r,Math.sin(t)/r)},coth:function(){var e=2*this.re,t=2*this.im,r=i(e)-Math.cos(t);return new u(a(e)/r,-Math.sin(t)/r)},csch:function(){var e=this.re,t=this.im,r=Math.cos(2*t)-i(2*e);return new u(-2*a(e)*Math.cos(t)/r,2*i(e)*Math.sin(t)/r)},sech:function(){var e=this.re,t=this.im,r=Math.cos(2*t)+i(2*e);return new u(2*i(e)*Math.cos(t)/r,-2*a(e)*Math.sin(t)/r)},asinh:function(){var e=this.im;this.im=-this.re,this.re=e;var t=this.asin();return this.re=-this.im,this.im=e,e=t.re,t.re=-t.im,t.im=e,t},acosh:function(){var e=this.acos();if(e.im<=0){var t=e.re;e.re=-e.im,e.im=t}else{t=e.im;e.im=-e.re,e.re=t}return e},atanh:function(){var e=this.re,t=this.im,r=e>1&&0===t,n=1-e,i=1+e,a=n*n+t*t,o=0!==a?new u((i*n-t*t)/a,(t*n+i*t)/a):new u(-1!==e?e/0:0,0!==t?t/0:0),c=o.re;return o.re=s(o.re,o.im)/2,o.im=Math.atan2(o.im,c)/2,r&&(o.im=-o.im),o},acoth:function(){var e=this.re,t=this.im;if(0===e&&0===t)return new u(0,Math.PI/2);var r=e*e+t*t;return 0!==r?new u(e/r,-t/r).atanh():new u(0!==e?e/0:0,0!==t?-t/0:0).atanh()},acsch:function(){var e=this.re,t=this.im;if(0===t)return new u(0!==e?Math.log(e+Math.sqrt(e*e+1)):1/0,0);var r=e*e+t*t;return 0!==r?new u(e/r,-t/r).asinh():new u(0!==e?e/0:0,0!==t?-t/0:0).asinh()},asech:function(){var e=this.re,t=this.im;if(this.isZero())return u.INFINITY;var r=e*e+t*t;return 0!==r?new u(e/r,-t/r).acosh():new u(0!==e?e/0:0,0!==t?-t/0:0).acosh()},inverse:function(){if(this.isZero())return u.INFINITY;if(this.isInfinite())return u.ZERO;var e=this.re,t=this.im,r=e*e+t*t;return new u(e/r,-t/r)},conjugate:function(){return new u(this.re,-this.im)},neg:function(){return new u(-this.re,-this.im)},ceil:function(e){return e=Math.pow(10,e||0),new u(Math.ceil(this.re*e)/e,Math.ceil(this.im*e)/e)},floor:function(e){return e=Math.pow(10,e||0),new u(Math.floor(this.re*e)/e,Math.floor(this.im*e)/e)},round:function(e){return e=Math.pow(10,e||0),new u(Math.round(this.re*e)/e,Math.round(this.im*e)/e)},equals:function(e,t){var r=new u(e,t);return Math.abs(r.re-this.re)<=u.EPSILON&&Math.abs(r.im-this.im)<=u.EPSILON},clone:function(){return new u(this.re,this.im)},toString:function(){var e=this.re,t=this.im,r="";return this.isNaN()?"NaN":this.isInfinite()?"Infinity":(Math.abs(e)<u.EPSILON&&(e=0),Math.abs(t)<u.EPSILON&&(t=0),0===t?r+e:(0!==e?(r+=e,r+=" ",t<0?(t=-t,r+="-"):r+="+",r+=" "):t<0&&(t=-t,r+="-"),1!==t&&(r+=t),r+"i"))},toVector:function(){return[this.re,this.im]},valueOf:function(){return 0===this.im?this.re:null},isNaN:function(){return isNaN(this.re)||isNaN(this.im)},isZero:function(){return 0===this.im&&0===this.re},isFinite:function(){return isFinite(this.re)&&isFinite(this.im)},isInfinite:function(){return!(this.isNaN()||this.isFinite())}},u.ZERO=new u(0,0),u.ONE=new u(1,0),u.I=new u(0,1),u.PI=new u(Math.PI,0),u.E=new u(Math.E,0),u.INFINITY=new u(1/0,1/0),u.NAN=new u(NaN,NaN),u.EPSILON=1e-15,void 0===(n=function(){return u}.apply(t,[]))||(e.exports=n)}()},function(e,t,r){var n=r(3),i=r(37),a=r(114);n({target:"Object",stat:!0,forced:r(7)((function(){a(1)}))},{keys:function(e){return a(i(e))}})},function(e,t,r){var n=r(1),i=r(12),a=r(55),o=r(143),s=r(111);e.exports=function(e,t,r,u){var c=!!u&&!!u.unsafe,f=!!u&&!!u.enumerable,l=!!u&&!!u.noTargetGet,p=u&&void 0!==u.name?u.name:t;return i(r)&&o(r,p,u),e===n?(f?e[t]=r:s(t,r),e):(c?!l&&e[t]&&(f=!0):delete e[t],f?e[t]=r:a(e,t,r),e)}},function(e,t,r){"use strict";var n=r(3),i=r(85).filter;n({target:"Array",proto:!0,forced:!r(86)("filter")},{filter:function(e){return i(this,e,arguments.length>1?arguments[1]:void 0)}})},function(e,t,r){var n=r(1),i=r(49),a=n.Object;e.exports=function(e){return a(i(e))}},function(e,t){e.exports=function(){throw new Error("define cannot be used indirect")}},function(e,t,r){var n=r(109),i=r(49);e.exports=function(e){return n(i(e))}},function(e,t,r){var n=r(1),i=r(12),a=function(e){return i(e)?e:void 0};e.exports=function(e,t){return arguments.length<2?a(n[e]):n[e]&&n[e][t]}},function(e,t,r){var n=r(3),i=r(40),a=r(106),o=r(17),s=r(9),u=r(7),c=r(102),f=r(12),l=r(25),p=r(78),m=r(123),h=r(66),d=i("JSON","stringify"),v=s(/./.exec),y=s("".charAt),g=s("".charCodeAt),x=s("".replace),b=s(1..toString),w=/[\uD800-\uDFFF]/g,N=/^[\uD800-\uDBFF]$/,M=/^[\uDC00-\uDFFF]$/,E=!h||u((function(){var e=i("Symbol")();return"[null]"!=d([e])||"{}"!=d({a:e})||"{}"!=d(Object(e))})),S=u((function(){return'"\\udf06\\ud834"'!==d("\udf06\ud834")||'"\\udead"'!==d("\udead")})),A=function(e,t){var r=m(arguments),n=t;if((l(t)||void 0!==e)&&!p(e))return c(t)||(t=function(e,t){if(f(n)&&(t=o(n,this,e,t)),!p(t))return t}),r[1]=t,a(d,null,r)},O=function(e,t,r){var n=y(r,t-1),i=y(r,t+1);return v(N,e)&&!v(M,i)||v(M,e)&&!v(N,n)?"\\u"+b(g(e,0),16):e};d&&n({target:"JSON",stat:!0,arity:3,forced:E||S},{stringify:function(e,t,r){var n=m(arguments),i=a(E?A:d,null,n);return S&&"string"==typeof i?x(i,w,O):i}})},function(e,t,r){"use strict";var n=r(3),i=r(9),a=r(54),o=r(37),s=r(47),u=r(28),c=r(7),f=r(206),l=r(117),p=r(207),m=r(208),h=r(79),d=r(209),v=[],y=i(v.sort),g=i(v.push),x=c((function(){v.sort(void 0)})),b=c((function(){v.sort(null)})),w=l("sort"),N=!c((function(){if(h)return h<70;if(!(p&&p>3)){if(m)return!0;if(d)return d<603;var e,t,r,n,i="";for(e=65;e<76;e++){switch(t=String.fromCharCode(e),e){case 66:case 69:case 70:case 72:r=3;break;case 68:case 71:r=4;break;default:r=2}for(n=0;n<47;n++)v.push({k:t+n,v:r})}for(v.sort((function(e,t){return t.v-e.v})),n=0;n<v.length;n++)t=v[n].k.charAt(0),i.charAt(i.length-1)!==t&&(i+=t);return"DGBEFHACIJK"!==i}}));n({target:"Array",proto:!0,forced:x||!b||!w||!N},{sort:function(e){void 0!==e&&a(e);var t=o(this);if(N)return void 0===e?y(t):y(t,e);var r,n,i=[],c=s(t);for(n=0;n<c;n++)n in t&&g(i,t[n]);for(f(i,function(e){return function(t,r){return void 0===r?-1:void 0===t?1:void 0!==e?+e(t,r)||0:u(t)>u(r)?1:-1}}(e)),r=i.length,n=0;n<r;)t[n]=i[n++];for(;n<c;)delete t[n++];return t}})},function(e,t,r){"use strict";var n=r(162).charAt,i=r(28),a=r(46),o=r(129),s=a.set,u=a.getterFor("String Iterator");o(String,"String",(function(e){s(this,{type:"String Iterator",string:i(e),index:0})}),(function(){var e,t=u(this),r=t.string,i=t.index;return i>=r.length?{value:void 0,done:!0}:(e=n(r,i),t.index+=e.length,{value:e,done:!1})}))},function(e,t,r){r(234),r(237),r(238),r(41),r(239)},function(e,t,r){var n=r(9),i=n({}.toString),a=n("".slice);e.exports=function(e){return a(i(e),8,-1)}},function(e,t,r){var n,i,a,o=r(198),s=r(1),u=r(9),c=r(25),f=r(55),l=r(22),p=r(110),m=r(99),h=r(82),d=s.TypeError,v=s.WeakMap;if(o||p.state){var y=p.state||(p.state=new v),g=u(y.get),x=u(y.has),b=u(y.set);n=function(e,t){if(x(y,e))throw new d("Object already initialized");return t.facade=e,b(y,e,t),t},i=function(e){return g(y,e)||{}},a=function(e){return x(y,e)}}else{var w=m("state");h[w]=!0,n=function(e,t){if(l(e,w))throw new d("Object already initialized");return t.facade=e,f(e,w,t),t},i=function(e){return l(e,w)?e[w]:{}},a=function(e){return l(e,w)}}e.exports={set:n,get:i,has:a,enforce:function(e){return a(e)?i(e):n(e,{})},getterFor:function(e){return function(t){var r;if(!c(t)||(r=i(t)).type!==e)throw d("Incompatible receiver, "+e+" required");return r}}}},function(e,t,r){var n=r(100);e.exports=function(e){return n(e.length)}},function(e,t,r){"use strict";r(10);var n,i,a=r(3),o=r(1),s=r(17),u=r(9),c=r(12),f=r(25),l=(n=!1,(i=/[ac]/).exec=function(){return n=!0,/./.exec.apply(this,arguments)},!0===i.test("abc")&&n),p=o.Error,m=u(/./.test);a({target:"RegExp",proto:!0,forced:!l},{test:function(e){var t=this.exec;if(!c(t))return m(this,e);var r=s(t,this,e);if(null!==r&&!f(r))throw new p("RegExp exec method returned something other than an Object or null");return!!r}})},function(e,t,r){var n=r(1).TypeError;e.exports=function(e){if(null==e)throw n("Can't call method on "+e);return e}},function(e,t){e.exports=!1},function(e,t,r){"use strict";var n=r(106),i=r(17),a=r(9),o=r(124),s=r(152),u=r(24),c=r(49),f=r(161),l=r(125),p=r(100),m=r(28),h=r(67),d=r(126),v=r(127),y=r(105),g=r(104),x=r(7),b=g.UNSUPPORTED_Y,w=Math.min,N=[].push,M=a(/./.exec),E=a(N),S=a("".slice);o("split",(function(e,t,r){var a;return a="c"=="abbc".split(/(b)*/)[1]||4!="test".split(/(?:)/,-1).length||2!="ab".split(/(?:ab)*/).length||4!=".".split(/(.?)(.?)/).length||".".split(/()()/).length>1||"".split(/.?/).length?function(e,r){var a=m(c(this)),o=void 0===r?4294967295:r>>>0;if(0===o)return[];if(void 0===e)return[a];if(!s(e))return i(t,a,e,o);for(var u,f,l,p=[],h=(e.ignoreCase?"i":"")+(e.multiline?"m":"")+(e.unicode?"u":"")+(e.sticky?"y":""),v=0,g=new RegExp(e.source,h+"g");(u=i(y,g,a))&&!((f=g.lastIndex)>v&&(E(p,S(a,v,u.index)),u.length>1&&u.index<a.length&&n(N,p,d(u,1)),l=u[0].length,v=f,p.length>=o));)g.lastIndex===u.index&&g.lastIndex++;return v===a.length?!l&&M(g,"")||E(p,""):E(p,S(a,v)),p.length>o?d(p,0,o):p}:"0".split(void 0,0).length?function(e,r){return void 0===e&&0===r?[]:i(t,this,e,r)}:t,[function(t,r){var n=c(this),o=null==t?void 0:h(t,e);return o?i(o,t,n,r):i(a,m(n),t,r)},function(e,n){var i=u(this),o=m(e),s=r(a,i,o,n,a!==t);if(s.done)return s.value;var c=f(i,RegExp),h=i.unicode,d=(i.ignoreCase?"i":"")+(i.multiline?"m":"")+(i.unicode?"u":"")+(b?"g":"y"),y=new c(b?"^(?:"+i.source+")":i,d),g=void 0===n?4294967295:n>>>0;if(0===g)return[];if(0===o.length)return null===v(y,o)?[o]:[];for(var x=0,N=0,M=[];N<o.length;){y.lastIndex=b?0:N;var A,O=v(y,b?S(o,N):o);if(null===O||(A=w(p(y.lastIndex+(b?N:0)),o.length))===x)N=l(o,N,h);else{if(E(M,S(o,x,N)),M.length===g)return M;for(var C=1;C<=O.length-1;C++)if(E(M,O[C]),M.length===g)return M;N=x=A}}return E(M,S(o,x)),M}]}),!!x((function(){var e=/(?:)/,t=e.exec;e.exec=function(){return t.apply(this,arguments)};var r="ab".split(e);return 2!==r.length||"a"!==r[0]||"b"!==r[1]})),b)},function(e,t,r){"use strict";var n=r(3),i=r(21),a=r(1),o=r(9),s=r(22),u=r(12),c=r(53),f=r(28),l=r(23).f,p=r(144),m=a.Symbol,h=m&&m.prototype;if(i&&u(m)&&(!("description"in h)||void 0!==m().description)){var d={},v=function(){var e=arguments.length<1||void 0===arguments[0]?void 0:f(arguments[0]),t=c(h,this)?new m(e):void 0===e?m():m(e);return""===e&&(d[t]=!0),t};p(v,m),v.prototype=h,h.constructor=v;var y="Symbol(test)"==String(m("test")),g=o(h.toString),x=o(h.valueOf),b=/^Symbol\((.*)\)[^)]+$/,w=o("".replace),N=o("".slice);l(h,"description",{configurable:!0,get:function(){var e=x(this),t=g(e);if(s(d,e))return"";var r=y?N(t,7,-1):w(t,b,"$1");return""===r?void 0:r}}),n({global:!0,forced:!0},{Symbol:v})}},function(e,t,r){var n=r(9);e.exports=n({}.isPrototypeOf)},function(e,t,r){var n=r(1),i=r(12),a=r(80),o=n.TypeError;e.exports=function(e){if(i(e))return e;throw o(a(e)+" is not a function")}},function(e,t,r){var n=r(21),i=r(23),a=r(77);e.exports=n?function(e,t,r){return i.f(e,t,a(1,r))}:function(e,t,r){return e[t]=r,e}},function(e,t,r){r(181)("iterator")},function(e,t,r){var n=r(257),i=r(258),a=r(187),o=r(259);e.exports=function(e,t){return n(e)||i(e,t)||a(e,t)||o()},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t,r){e.exports=r(254)},function(e,t,r){var n=r(21),i=r(17),a=r(138),o=r(77),s=r(39),u=r(95),c=r(22),f=r(141),l=Object.getOwnPropertyDescriptor;t.f=n?l:function(e,t){if(e=s(e),t=u(t),f)try{return l(e,t)}catch(e){}if(c(e,t))return o(!i(a.f,e,t),e[t])}},function(e,t,r){var n=r(40);e.exports=n("navigator","userAgent")||""},function(e,t){var r=Math.ceil,n=Math.floor;e.exports=function(e){var t=+e;return t!=t||0===t?0:(t>0?n:r)(t)}},function(e,t,r){var n=r(3),i=r(232);n({target:"Array",stat:!0,forced:!r(132)((function(e){Array.from(e)}))},{from:i})},function(e,t,r){var n;!function(i){"use strict";var a,o,s,u=9e15,c="0123456789abcdef",f="2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058",l="3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789",p={precision:20,rounding:4,modulo:1,toExpNeg:-7,toExpPos:21,minE:-u,maxE:u,crypto:!1},m=!0,h="[DecimalError] Invalid argument: ",d="[object Decimal]",v=Math.floor,y=Math.pow,g=/^0b([01]+(\.[01]*)?|\.[01]+)(p[+-]?\d+)?$/i,x=/^0x([0-9a-f]+(\.[0-9a-f]*)?|\.[0-9a-f]+)(p[+-]?\d+)?$/i,b=/^0o([0-7]+(\.[0-7]*)?|\.[0-7]+)(p[+-]?\d+)?$/i,w=/^(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i,N=1e7,M=f.length-1,E=l.length-1,S={toStringTag:d};function A(e){var t,r,n,i=e.length-1,a="",o=e[0];if(i>0){for(a+=o,t=1;t<i;t++)(r=7-(n=e[t]+"").length)&&(a+=D(r)),a+=n;(r=7-(n=(o=e[t])+"").length)&&(a+=D(r))}else if(0===o)return"0";for(;o%10==0;)o/=10;return a+o}function O(e,t,r){if(e!==~~e||e<t||e>r)throw Error(h+e)}function C(e,t,r,n){var i,a,o,s;for(a=e[0];a>=10;a/=10)--t;return--t<0?(t+=7,i=0):(i=Math.ceil((t+1)/7),t%=7),a=y(10,7-t),s=e[i]%a|0,null==n?t<3?(0==t?s=s/100|0:1==t&&(s=s/10|0),o=r<4&&99999==s||r>3&&49999==s||5e4==s||0==s):o=(r<4&&s+1==a||r>3&&s+1==a/2)&&(e[i+1]/a/100|0)==y(10,t-2)-1||(s==a/2||0==s)&&0==(e[i+1]/a/100|0):t<4?(0==t?s=s/1e3|0:1==t?s=s/100|0:2==t&&(s=s/10|0),o=(n||r<4)&&9999==s||!n&&r>3&&4999==s):o=((n||r<4)&&s+1==a||!n&&r>3&&s+1==a/2)&&(e[i+1]/a/1e3|0)==y(10,t-3)-1,o}function T(e,t,r){for(var n,i,a=[0],o=0,s=e.length;o<s;){for(i=a.length;i--;)a[i]*=t;for(a[0]+=c.indexOf(e.charAt(o++)),n=0;n<a.length;n++)a[n]>r-1&&(void 0===a[n+1]&&(a[n+1]=0),a[n+1]+=a[n]/r|0,a[n]%=r)}return a.reverse()}S.absoluteValue=S.abs=function(){var e=new this.constructor(this);return e.s<0&&(e.s=1),I(e)},S.ceil=function(){return I(new this.constructor(this),this.e+1,2)},S.clampedTo=S.clamp=function(e,t){var r=this,n=r.constructor;if(e=new n(e),t=new n(t),!e.s||!t.s)return new n(NaN);if(e.gt(t))throw Error(h+t);return r.cmp(e)<0?e:r.cmp(t)>0?t:new n(r)},S.comparedTo=S.cmp=function(e){var t,r,n,i,a=this,o=a.d,s=(e=new a.constructor(e)).d,u=a.s,c=e.s;if(!o||!s)return u&&c?u!==c?u:o===s?0:!o^u<0?1:-1:NaN;if(!o[0]||!s[0])return o[0]?u:s[0]?-c:0;if(u!==c)return u;if(a.e!==e.e)return a.e>e.e^u<0?1:-1;for(t=0,r=(n=o.length)<(i=s.length)?n:i;t<r;++t)if(o[t]!==s[t])return o[t]>s[t]^u<0?1:-1;return n===i?0:n>i^u<0?1:-1},S.cosine=S.cos=function(){var e,t,r=this,n=r.constructor;return r.d?r.d[0]?(e=n.precision,t=n.rounding,n.precision=e+Math.max(r.e,r.sd())+7,n.rounding=1,r=function(e,t){var r,n,i;if(t.isZero())return t;(n=t.d.length)<32?(r=Math.ceil(n/3),i=(1/Z(4,r)).toString()):(r=16,i="2.3283064365386962890625e-10");e.precision+=r,t=V(e,1,t.times(i),new e(1));for(var a=r;a--;){var o=t.times(t);t=o.times(o).minus(o).times(8).plus(1)}return e.precision-=r,t}(n,W(n,r)),n.precision=e,n.rounding=t,I(2==s||3==s?r.neg():r,e,t,!0)):new n(1):new n(NaN)},S.cubeRoot=S.cbrt=function(){var e,t,r,n,i,a,o,s,u,c,f=this,l=f.constructor;if(!f.isFinite()||f.isZero())return new l(f);for(m=!1,(a=f.s*y(f.s*f,1/3))&&Math.abs(a)!=1/0?n=new l(a.toString()):(r=A(f.d),(a=((e=f.e)-r.length+1)%3)&&(r+=1==a||-2==a?"0":"00"),a=y(r,1/3),e=v((e+1)/3)-(e%3==(e<0?-1:2)),(n=new l(r=a==1/0?"5e"+e:(r=a.toExponential()).slice(0,r.indexOf("e")+1)+e)).s=f.s),o=(e=l.precision)+3;;)if(c=(u=(s=n).times(s).times(s)).plus(f),n=_(c.plus(f).times(s),c.plus(u),o+2,1),A(s.d).slice(0,o)===(r=A(n.d)).slice(0,o)){if("9999"!=(r=r.slice(o-3,o+1))&&(i||"4999"!=r)){+r&&(+r.slice(1)||"5"!=r.charAt(0))||(I(n,e+1,1),t=!n.times(n).times(n).eq(f));break}if(!i&&(I(s,e+1,0),s.times(s).times(s).eq(f))){n=s;break}o+=4,i=1}return m=!0,I(n,e,l.rounding,t)},S.decimalPlaces=S.dp=function(){var e,t=this.d,r=NaN;if(t){if(r=7*((e=t.length-1)-v(this.e/7)),e=t[e])for(;e%10==0;e/=10)r--;r<0&&(r=0)}return r},S.dividedBy=S.div=function(e){return _(this,new this.constructor(e))},S.dividedToIntegerBy=S.divToInt=function(e){var t=this.constructor;return I(_(this,new t(e),0,1,1),t.precision,t.rounding)},S.equals=S.eq=function(e){return 0===this.cmp(e)},S.floor=function(){return I(new this.constructor(this),this.e+1,3)},S.greaterThan=S.gt=function(e){return this.cmp(e)>0},S.greaterThanOrEqualTo=S.gte=function(e){var t=this.cmp(e);return 1==t||0===t},S.hyperbolicCosine=S.cosh=function(){var e,t,r,n,i,a=this,o=a.constructor,s=new o(1);if(!a.isFinite())return new o(a.s?1/0:NaN);if(a.isZero())return s;r=o.precision,n=o.rounding,o.precision=r+Math.max(a.e,a.sd())+4,o.rounding=1,(i=a.d.length)<32?t=(1/Z(4,e=Math.ceil(i/3))).toString():(e=16,t="2.3283064365386962890625e-10"),a=V(o,1,a.times(t),new o(1),!0);for(var u,c=e,f=new o(8);c--;)u=a.times(a),a=s.minus(u.times(f.minus(u.times(f))));return I(a,o.precision=r,o.rounding=n,!0)},S.hyperbolicSine=S.sinh=function(){var e,t,r,n,i=this,a=i.constructor;if(!i.isFinite()||i.isZero())return new a(i);if(t=a.precision,r=a.rounding,a.precision=t+Math.max(i.e,i.sd())+4,a.rounding=1,(n=i.d.length)<3)i=V(a,2,i,i,!0);else{e=(e=1.4*Math.sqrt(n))>16?16:0|e,i=V(a,2,i=i.times(1/Z(5,e)),i,!0);for(var o,s=new a(5),u=new a(16),c=new a(20);e--;)o=i.times(i),i=i.times(s.plus(o.times(u.times(o).plus(c))))}return a.precision=t,a.rounding=r,I(i,t,r,!0)},S.hyperbolicTangent=S.tanh=function(){var e,t,r=this,n=r.constructor;return r.isFinite()?r.isZero()?new n(r):(e=n.precision,t=n.rounding,n.precision=e+7,n.rounding=1,_(r.sinh(),r.cosh(),n.precision=e,n.rounding=t)):new n(r.s)},S.inverseCosine=S.acos=function(){var e,t=this,r=t.constructor,n=t.abs().cmp(1),i=r.precision,a=r.rounding;return-1!==n?0===n?t.isNeg()?q(r,i,a):new r(0):new r(NaN):t.isZero()?q(r,i+4,a).times(.5):(r.precision=i+6,r.rounding=1,t=t.asin(),e=q(r,i+4,a).times(.5),r.precision=i,r.rounding=a,e.minus(t))},S.inverseHyperbolicCosine=S.acosh=function(){var e,t,r=this,n=r.constructor;return r.lte(1)?new n(r.eq(1)?0:NaN):r.isFinite()?(e=n.precision,t=n.rounding,n.precision=e+Math.max(Math.abs(r.e),r.sd())+4,n.rounding=1,m=!1,r=r.times(r).minus(1).sqrt().plus(r),m=!0,n.precision=e,n.rounding=t,r.ln()):new n(r)},S.inverseHyperbolicSine=S.asinh=function(){var e,t,r=this,n=r.constructor;return!r.isFinite()||r.isZero()?new n(r):(e=n.precision,t=n.rounding,n.precision=e+2*Math.max(Math.abs(r.e),r.sd())+6,n.rounding=1,m=!1,r=r.times(r).plus(1).sqrt().plus(r),m=!0,n.precision=e,n.rounding=t,r.ln())},S.inverseHyperbolicTangent=S.atanh=function(){var e,t,r,n,i=this,a=i.constructor;return i.isFinite()?i.e>=0?new a(i.abs().eq(1)?i.s/0:i.isZero()?i:NaN):(e=a.precision,t=a.rounding,n=i.sd(),Math.max(n,e)<2*-i.e-1?I(new a(i),e,t,!0):(a.precision=r=n-i.e,i=_(i.plus(1),new a(1).minus(i),r+e,1),a.precision=e+4,a.rounding=1,i=i.ln(),a.precision=e,a.rounding=t,i.times(.5))):new a(NaN)},S.inverseSine=S.asin=function(){var e,t,r,n,i=this,a=i.constructor;return i.isZero()?new a(i):(t=i.abs().cmp(1),r=a.precision,n=a.rounding,-1!==t?0===t?((e=q(a,r+4,n).times(.5)).s=i.s,e):new a(NaN):(a.precision=r+6,a.rounding=1,i=i.div(new a(1).minus(i.times(i)).sqrt().plus(1)).atan(),a.precision=r,a.rounding=n,i.times(2)))},S.inverseTangent=S.atan=function(){var e,t,r,n,i,a,o,s,u,c=this,f=c.constructor,l=f.precision,p=f.rounding;if(c.isFinite()){if(c.isZero())return new f(c);if(c.abs().eq(1)&&l+4<=E)return(o=q(f,l+4,p).times(.25)).s=c.s,o}else{if(!c.s)return new f(NaN);if(l+4<=E)return(o=q(f,l+4,p).times(.5)).s=c.s,o}for(f.precision=s=l+10,f.rounding=1,e=r=Math.min(28,s/7+2|0);e;--e)c=c.div(c.times(c).plus(1).sqrt().plus(1));for(m=!1,t=Math.ceil(s/7),n=1,u=c.times(c),o=new f(c),i=c;-1!==e;)if(i=i.times(u),a=o.minus(i.div(n+=2)),i=i.times(u),void 0!==(o=a.plus(i.div(n+=2))).d[t])for(e=t;o.d[e]===a.d[e]&&e--;);return r&&(o=o.times(2<<r-1)),m=!0,I(o,f.precision=l,f.rounding=p,!0)},S.isFinite=function(){return!!this.d},S.isInteger=S.isInt=function(){return!!this.d&&v(this.e/7)>this.d.length-2},S.isNaN=function(){return!this.s},S.isNegative=S.isNeg=function(){return this.s<0},S.isPositive=S.isPos=function(){return this.s>0},S.isZero=function(){return!!this.d&&0===this.d[0]},S.lessThan=S.lt=function(e){return this.cmp(e)<0},S.lessThanOrEqualTo=S.lte=function(e){return this.cmp(e)<1},S.logarithm=S.log=function(e){var t,r,n,i,a,o,s,u,c=this.constructor,f=c.precision,l=c.rounding;if(null==e)e=new c(10),t=!0;else{if(r=(e=new c(e)).d,e.s<0||!r||!r[0]||e.eq(1))return new c(NaN);t=e.eq(10)}if(r=this.d,this.s<0||!r||!r[0]||this.eq(1))return new c(r&&!r[0]?-1/0:1!=this.s?NaN:r?0:1/0);if(t)if(r.length>1)a=!0;else{for(i=r[0];i%10==0;)i/=10;a=1!==i}if(m=!1,o=L(this,s=f+5),n=t?R(c,s+10):L(e,s),C((u=_(o,n,s,1)).d,i=f,l))do{if(o=L(this,s+=10),n=t?R(c,s+10):L(e,s),u=_(o,n,s,1),!a){+A(u.d).slice(i+1,i+15)+1==1e14&&(u=I(u,f+1,0));break}}while(C(u.d,i+=10,l));return m=!0,I(u,f,l)},S.minus=S.sub=function(e){var t,r,n,i,a,o,s,u,c,f,l,p,h=this,d=h.constructor;if(e=new d(e),!h.d||!e.d)return h.s&&e.s?h.d?e.s=-e.s:e=new d(e.d||h.s!==e.s?h:NaN):e=new d(NaN),e;if(h.s!=e.s)return e.s=-e.s,h.plus(e);if(c=h.d,p=e.d,s=d.precision,u=d.rounding,!c[0]||!p[0]){if(p[0])e.s=-e.s;else{if(!c[0])return new d(3===u?-0:0);e=new d(h)}return m?I(e,s,u):e}if(r=v(e.e/7),f=v(h.e/7),c=c.slice(),a=f-r){for((l=a<0)?(t=c,a=-a,o=p.length):(t=p,r=f,o=c.length),a>(n=Math.max(Math.ceil(s/7),o)+2)&&(a=n,t.length=1),t.reverse(),n=a;n--;)t.push(0);t.reverse()}else{for((l=(n=c.length)<(o=p.length))&&(o=n),n=0;n<o;n++)if(c[n]!=p[n]){l=c[n]<p[n];break}a=0}for(l&&(t=c,c=p,p=t,e.s=-e.s),o=c.length,n=p.length-o;n>0;--n)c[o++]=0;for(n=p.length;n>a;){if(c[--n]<p[n]){for(i=n;i&&0===c[--i];)c[i]=N-1;--c[i],c[n]+=N}c[n]-=p[n]}for(;0===c[--o];)c.pop();for(;0===c[0];c.shift())--r;return c[0]?(e.d=c,e.e=z(c,r),m?I(e,s,u):e):new d(3===u?-0:0)},S.modulo=S.mod=function(e){var t,r=this,n=r.constructor;return e=new n(e),!r.d||!e.s||e.d&&!e.d[0]?new n(NaN):!e.d||r.d&&!r.d[0]?I(new n(r),n.precision,n.rounding):(m=!1,9==n.modulo?(t=_(r,e.abs(),0,3,1)).s*=e.s:t=_(r,e,0,n.modulo,1),t=t.times(e),m=!0,r.minus(t))},S.naturalExponential=S.exp=function(){return U(this)},S.naturalLogarithm=S.ln=function(){return L(this)},S.negated=S.neg=function(){var e=new this.constructor(this);return e.s=-e.s,I(e)},S.plus=S.add=function(e){var t,r,n,i,a,o,s,u,c,f,l=this,p=l.constructor;if(e=new p(e),!l.d||!e.d)return l.s&&e.s?l.d||(e=new p(e.d||l.s===e.s?l:NaN)):e=new p(NaN),e;if(l.s!=e.s)return e.s=-e.s,l.minus(e);if(c=l.d,f=e.d,s=p.precision,u=p.rounding,!c[0]||!f[0])return f[0]||(e=new p(l)),m?I(e,s,u):e;if(a=v(l.e/7),n=v(e.e/7),c=c.slice(),i=a-n){for(i<0?(r=c,i=-i,o=f.length):(r=f,n=a,o=c.length),i>(o=(a=Math.ceil(s/7))>o?a+1:o+1)&&(i=o,r.length=1),r.reverse();i--;)r.push(0);r.reverse()}for((o=c.length)-(i=f.length)<0&&(i=o,r=f,f=c,c=r),t=0;i;)t=(c[--i]=c[i]+f[i]+t)/N|0,c[i]%=N;for(t&&(c.unshift(t),++n),o=c.length;0==c[--o];)c.pop();return e.d=c,e.e=z(c,n),m?I(e,s,u):e},S.precision=S.sd=function(e){var t,r=this;if(void 0!==e&&e!==!!e&&1!==e&&0!==e)throw Error(h+e);return r.d?(t=B(r.d),e&&r.e+1>t&&(t=r.e+1)):t=NaN,t},S.round=function(){var e=this,t=e.constructor;return I(new t(e),e.e+1,t.rounding)},S.sine=S.sin=function(){var e,t,r=this,n=r.constructor;return r.isFinite()?r.isZero()?new n(r):(e=n.precision,t=n.rounding,n.precision=e+Math.max(r.e,r.sd())+7,n.rounding=1,r=function(e,t){var r,n=t.d.length;if(n<3)return t.isZero()?t:V(e,2,t,t);r=(r=1.4*Math.sqrt(n))>16?16:0|r,t=t.times(1/Z(5,r)),t=V(e,2,t,t);for(var i,a=new e(5),o=new e(16),s=new e(20);r--;)i=t.times(t),t=t.times(a.plus(i.times(o.times(i).minus(s))));return t}(n,W(n,r)),n.precision=e,n.rounding=t,I(s>2?r.neg():r,e,t,!0)):new n(NaN)},S.squareRoot=S.sqrt=function(){var e,t,r,n,i,a,o=this,s=o.d,u=o.e,c=o.s,f=o.constructor;if(1!==c||!s||!s[0])return new f(!c||c<0&&(!s||s[0])?NaN:s?o:1/0);for(m=!1,0==(c=Math.sqrt(+o))||c==1/0?(((t=A(s)).length+u)%2==0&&(t+="0"),c=Math.sqrt(t),u=v((u+1)/2)-(u<0||u%2),n=new f(t=c==1/0?"5e"+u:(t=c.toExponential()).slice(0,t.indexOf("e")+1)+u)):n=new f(c.toString()),r=(u=f.precision)+3;;)if(n=(a=n).plus(_(o,a,r+2,1)).times(.5),A(a.d).slice(0,r)===(t=A(n.d)).slice(0,r)){if("9999"!=(t=t.slice(r-3,r+1))&&(i||"4999"!=t)){+t&&(+t.slice(1)||"5"!=t.charAt(0))||(I(n,u+1,1),e=!n.times(n).eq(o));break}if(!i&&(I(a,u+1,0),a.times(a).eq(o))){n=a;break}r+=4,i=1}return m=!0,I(n,u,f.rounding,e)},S.tangent=S.tan=function(){var e,t,r=this,n=r.constructor;return r.isFinite()?r.isZero()?new n(r):(e=n.precision,t=n.rounding,n.precision=e+10,n.rounding=1,(r=r.sin()).s=1,r=_(r,new n(1).minus(r.times(r)).sqrt(),e+10,0),n.precision=e,n.rounding=t,I(2==s||4==s?r.neg():r,e,t,!0)):new n(NaN)},S.times=S.mul=function(e){var t,r,n,i,a,o,s,u,c,f=this,l=f.constructor,p=f.d,h=(e=new l(e)).d;if(e.s*=f.s,!(p&&p[0]&&h&&h[0]))return new l(!e.s||p&&!p[0]&&!h||h&&!h[0]&&!p?NaN:p&&h?0*e.s:e.s/0);for(r=v(f.e/7)+v(e.e/7),(u=p.length)<(c=h.length)&&(a=p,p=h,h=a,o=u,u=c,c=o),a=[],n=o=u+c;n--;)a.push(0);for(n=c;--n>=0;){for(t=0,i=u+n;i>n;)s=a[i]+h[n]*p[i-n-1]+t,a[i--]=s%N|0,t=s/N|0;a[i]=(a[i]+t)%N|0}for(;!a[--o];)a.pop();return t?++r:a.shift(),e.d=a,e.e=z(a,r),m?I(e,l.precision,l.rounding):e},S.toBinary=function(e,t){return Y(this,2,e,t)},S.toDecimalPlaces=S.toDP=function(e,t){var r=this,n=r.constructor;return r=new n(r),void 0===e?r:(O(e,0,1e9),void 0===t?t=n.rounding:O(t,0,8),I(r,e+r.e+1,t))},S.toExponential=function(e,t){var r,n=this,i=n.constructor;return void 0===e?r=k(n,!0):(O(e,0,1e9),void 0===t?t=i.rounding:O(t,0,8),r=k(n=I(new i(n),e+1,t),!0,e+1)),n.isNeg()&&!n.isZero()?"-"+r:r},S.toFixed=function(e,t){var r,n,i=this,a=i.constructor;return void 0===e?r=k(i):(O(e,0,1e9),void 0===t?t=a.rounding:O(t,0,8),r=k(n=I(new a(i),e+i.e+1,t),!1,e+n.e+1)),i.isNeg()&&!i.isZero()?"-"+r:r},S.toFraction=function(e){var t,r,n,i,a,o,s,u,c,f,l,p,d=this,v=d.d,g=d.constructor;if(!v)return new g(d);if(c=r=new g(1),n=u=new g(0),o=(a=(t=new g(n)).e=B(v)-d.e-1)%7,t.d[0]=y(10,o<0?7+o:o),null==e)e=a>0?t:c;else{if(!(s=new g(e)).isInt()||s.lt(c))throw Error(h+s);e=s.gt(t)?a>0?t:c:s}for(m=!1,s=new g(A(v)),f=g.precision,g.precision=a=7*v.length*2;l=_(s,t,0,1,1),1!=(i=r.plus(l.times(n))).cmp(e);)r=n,n=i,i=c,c=u.plus(l.times(i)),u=i,i=t,t=s.minus(l.times(i)),s=i;return i=_(e.minus(r),n,0,1,1),u=u.plus(i.times(c)),r=r.plus(i.times(n)),u.s=c.s=d.s,p=_(c,n,a,1).minus(d).abs().cmp(_(u,r,a,1).minus(d).abs())<1?[c,n]:[u,r],g.precision=f,m=!0,p},S.toHexadecimal=S.toHex=function(e,t){return Y(this,16,e,t)},S.toNearest=function(e,t){var r=this,n=r.constructor;if(r=new n(r),null==e){if(!r.d)return r;e=new n(1),t=n.rounding}else{if(e=new n(e),void 0===t?t=n.rounding:O(t,0,8),!r.d)return e.s?r:e;if(!e.d)return e.s&&(e.s=r.s),e}return e.d[0]?(m=!1,r=_(r,e,0,t,1).times(e),m=!0,I(r)):(e.s=r.s,r=e),r},S.toNumber=function(){return+this},S.toOctal=function(e,t){return Y(this,8,e,t)},S.toPower=S.pow=function(e){var t,r,n,i,a,o,s=this,u=s.constructor,c=+(e=new u(e));if(!(s.d&&e.d&&s.d[0]&&e.d[0]))return new u(y(+s,c));if((s=new u(s)).eq(1))return s;if(n=u.precision,a=u.rounding,e.eq(1))return I(s,n,a);if((t=v(e.e/7))>=e.d.length-1&&(r=c<0?-c:c)<=9007199254740991)return i=j(u,s,r,n),e.s<0?new u(1).div(i):I(i,n,a);if((o=s.s)<0){if(t<e.d.length-1)return new u(NaN);if(0==(1&e.d[t])&&(o=1),0==s.e&&1==s.d[0]&&1==s.d.length)return s.s=o,s}return(t=0!=(r=y(+s,c))&&isFinite(r)?new u(r+"").e:v(c*(Math.log("0."+A(s.d))/Math.LN10+s.e+1)))>u.maxE+1||t<u.minE-1?new u(t>0?o/0:0):(m=!1,u.rounding=s.s=1,r=Math.min(12,(t+"").length),(i=U(e.times(L(s,n+r)),n)).d&&C((i=I(i,n+5,1)).d,n,a)&&(t=n+10,+A((i=I(U(e.times(L(s,t+r)),t),t+5,1)).d).slice(n+1,n+15)+1==1e14&&(i=I(i,n+1,0))),i.s=o,m=!0,u.rounding=a,I(i,n,a))},S.toPrecision=function(e,t){var r,n=this,i=n.constructor;return void 0===e?r=k(n,n.e<=i.toExpNeg||n.e>=i.toExpPos):(O(e,1,1e9),void 0===t?t=i.rounding:O(t,0,8),r=k(n=I(new i(n),e,t),e<=n.e||n.e<=i.toExpNeg,e)),n.isNeg()&&!n.isZero()?"-"+r:r},S.toSignificantDigits=S.toSD=function(e,t){var r=this.constructor;return void 0===e?(e=r.precision,t=r.rounding):(O(e,1,1e9),void 0===t?t=r.rounding:O(t,0,8)),I(new r(this),e,t)},S.toString=function(){var e=this,t=e.constructor,r=k(e,e.e<=t.toExpNeg||e.e>=t.toExpPos);return e.isNeg()&&!e.isZero()?"-"+r:r},S.truncated=S.trunc=function(){return I(new this.constructor(this),this.e+1,1)},S.valueOf=S.toJSON=function(){var e=this,t=e.constructor,r=k(e,e.e<=t.toExpNeg||e.e>=t.toExpPos);return e.isNeg()?"-"+r:r};var _=function(){function e(e,t,r){var n,i=0,a=e.length;for(e=e.slice();a--;)n=e[a]*t+i,e[a]=n%r|0,i=n/r|0;return i&&e.unshift(i),e}function t(e,t,r,n){var i,a;if(r!=n)a=r>n?1:-1;else for(i=a=0;i<r;i++)if(e[i]!=t[i]){a=e[i]>t[i]?1:-1;break}return a}function r(e,t,r,n){for(var i=0;r--;)e[r]-=i,i=e[r]<t[r]?1:0,e[r]=i*n+e[r]-t[r];for(;!e[0]&&e.length>1;)e.shift()}return function(n,i,a,s,u,c){var f,l,p,m,h,d,y,g,x,b,w,M,E,S,A,O,C,T,_,k,z=n.constructor,R=n.s==i.s?1:-1,q=n.d,B=i.d;if(!(q&&q[0]&&B&&B[0]))return new z(n.s&&i.s&&(q?!B||q[0]!=B[0]:B)?q&&0==q[0]||!B?0*R:R/0:NaN);for(c?(h=1,l=n.e-i.e):(c=N,h=7,l=v(n.e/h)-v(i.e/h)),_=B.length,C=q.length,b=(x=new z(R)).d=[],p=0;B[p]==(q[p]||0);p++);if(B[p]>(q[p]||0)&&l--,null==a?(S=a=z.precision,s=z.rounding):S=u?a+(n.e-i.e)+1:a,S<0)b.push(1),d=!0;else{if(S=S/h+2|0,p=0,1==_){for(m=0,B=B[0],S++;(p<C||m)&&S--;p++)A=m*c+(q[p]||0),b[p]=A/B|0,m=A%B|0;d=m||p<C}else{for((m=c/(B[0]+1)|0)>1&&(B=e(B,m,c),q=e(q,m,c),_=B.length,C=q.length),O=_,M=(w=q.slice(0,_)).length;M<_;)w[M++]=0;(k=B.slice()).unshift(0),T=B[0],B[1]>=c/2&&++T;do{m=0,(f=t(B,w,_,M))<0?(E=w[0],_!=M&&(E=E*c+(w[1]||0)),(m=E/T|0)>1?(m>=c&&(m=c-1),1==(f=t(y=e(B,m,c),w,g=y.length,M=w.length))&&(m--,r(y,_<g?k:B,g,c))):(0==m&&(f=m=1),y=B.slice()),(g=y.length)<M&&y.unshift(0),r(w,y,M,c),-1==f&&(f=t(B,w,_,M=w.length))<1&&(m++,r(w,_<M?k:B,M,c)),M=w.length):0===f&&(m++,w=[0]),b[p++]=m,f&&w[0]?w[M++]=q[O]||0:(w=[q[O]],M=1)}while((O++<C||void 0!==w[0])&&S--);d=void 0!==w[0]}b[0]||b.shift()}if(1==h)x.e=l,o=d;else{for(p=1,m=b[0];m>=10;m/=10)p++;x.e=p+l*h-1,I(x,u?a+x.e+1:a,s,d)}return x}}();function I(e,t,r,n){var i,a,o,s,u,c,f,l,p,h=e.constructor;e:if(null!=t){if(!(l=e.d))return e;for(i=1,s=l[0];s>=10;s/=10)i++;if((a=t-i)<0)a+=7,o=t,u=(f=l[p=0])/y(10,i-o-1)%10|0;else if((p=Math.ceil((a+1)/7))>=(s=l.length)){if(!n)break e;for(;s++<=p;)l.push(0);f=u=0,i=1,o=(a%=7)-7+1}else{for(f=s=l[p],i=1;s>=10;s/=10)i++;u=(o=(a%=7)-7+i)<0?0:f/y(10,i-o-1)%10|0}if(n=n||t<0||void 0!==l[p+1]||(o<0?f:f%y(10,i-o-1)),c=r<4?(u||n)&&(0==r||r==(e.s<0?3:2)):u>5||5==u&&(4==r||n||6==r&&(a>0?o>0?f/y(10,i-o):0:l[p-1])%10&1||r==(e.s<0?8:7)),t<1||!l[0])return l.length=0,c?(t-=e.e+1,l[0]=y(10,(7-t%7)%7),e.e=-t||0):l[0]=e.e=0,e;if(0==a?(l.length=p,s=1,p--):(l.length=p+1,s=y(10,7-a),l[p]=o>0?(f/y(10,i-o)%y(10,o)|0)*s:0),c)for(;;){if(0==p){for(a=1,o=l[0];o>=10;o/=10)a++;for(o=l[0]+=s,s=1;o>=10;o/=10)s++;a!=s&&(e.e++,l[0]==N&&(l[0]=1));break}if(l[p]+=s,l[p]!=N)break;l[p--]=0,s=1}for(a=l.length;0===l[--a];)l.pop()}return m&&(e.e>h.maxE?(e.d=null,e.e=NaN):e.e<h.minE&&(e.e=0,e.d=[0])),e}function k(e,t,r){if(!e.isFinite())return $(e);var n,i=e.e,a=A(e.d),o=a.length;return t?(r&&(n=r-o)>0?a=a.charAt(0)+"."+a.slice(1)+D(n):o>1&&(a=a.charAt(0)+"."+a.slice(1)),a=a+(e.e<0?"e":"e+")+e.e):i<0?(a="0."+D(-i-1)+a,r&&(n=r-o)>0&&(a+=D(n))):i>=o?(a+=D(i+1-o),r&&(n=r-i-1)>0&&(a=a+"."+D(n))):((n=i+1)<o&&(a=a.slice(0,n)+"."+a.slice(n)),r&&(n=r-o)>0&&(i+1===o&&(a+="."),a+=D(n))),a}function z(e,t){var r=e[0];for(t*=7;r>=10;r/=10)t++;return t}function R(e,t,r){if(t>M)throw m=!0,r&&(e.precision=r),Error("[DecimalError] Precision limit exceeded");return I(new e(f),t,1,!0)}function q(e,t,r){if(t>E)throw Error("[DecimalError] Precision limit exceeded");return I(new e(l),t,r,!0)}function B(e){var t=e.length-1,r=7*t+1;if(t=e[t]){for(;t%10==0;t/=10)r--;for(t=e[0];t>=10;t/=10)r++}return r}function D(e){for(var t="";e--;)t+="0";return t}function j(e,t,r,n){var i,a=new e(1),o=Math.ceil(n/7+4);for(m=!1;;){if(r%2&&J((a=a.times(t)).d,o)&&(i=!0),0===(r=v(r/2))){r=a.d.length-1,i&&0===a.d[r]&&++a.d[r];break}J((t=t.times(t)).d,o)}return m=!0,a}function P(e){return 1&e.d[e.d.length-1]}function F(e,t,r){for(var n,i=new e(t[0]),a=0;++a<t.length;){if(!(n=new e(t[a])).s){i=n;break}i[r](n)&&(i=n)}return i}function U(e,t){var r,n,i,a,o,s,u,c=0,f=0,l=0,p=e.constructor,h=p.rounding,d=p.precision;if(!e.d||!e.d[0]||e.e>17)return new p(e.d?e.d[0]?e.s<0?0:1/0:1:e.s?e.s<0?0:e:NaN);for(null==t?(m=!1,u=d):u=t,s=new p(.03125);e.e>-2;)e=e.times(s),l+=5;for(u+=n=Math.log(y(2,l))/Math.LN10*2+5|0,r=a=o=new p(1),p.precision=u;;){if(a=I(a.times(e),u,1),r=r.times(++f),A((s=o.plus(_(a,r,u,1))).d).slice(0,u)===A(o.d).slice(0,u)){for(i=l;i--;)o=I(o.times(o),u,1);if(null!=t)return p.precision=d,o;if(!(c<3&&C(o.d,u-n,h,c)))return I(o,p.precision=d,h,m=!0);p.precision=u+=10,r=a=s=new p(1),f=0,c++}o=s}}function L(e,t){var r,n,i,a,o,s,u,c,f,l,p,h=1,d=e,v=d.d,y=d.constructor,g=y.rounding,x=y.precision;if(d.s<0||!v||!v[0]||!d.e&&1==v[0]&&1==v.length)return new y(v&&!v[0]?-1/0:1!=d.s?NaN:v?0:d);if(null==t?(m=!1,f=x):f=t,y.precision=f+=10,n=(r=A(v)).charAt(0),!(Math.abs(a=d.e)<15e14))return c=R(y,f+2,x).times(a+""),d=L(new y(n+"."+r.slice(1)),f-10).plus(c),y.precision=x,null==t?I(d,x,g,m=!0):d;for(;n<7&&1!=n||1==n&&r.charAt(1)>3;)n=(r=A((d=d.times(e)).d)).charAt(0),h++;for(a=d.e,n>1?(d=new y("0."+r),a++):d=new y(n+"."+r.slice(1)),l=d,u=o=d=_(d.minus(1),d.plus(1),f,1),p=I(d.times(d),f,1),i=3;;){if(o=I(o.times(p),f,1),A((c=u.plus(_(o,new y(i),f,1))).d).slice(0,f)===A(u.d).slice(0,f)){if(u=u.times(2),0!==a&&(u=u.plus(R(y,f+2,x).times(a+""))),u=_(u,new y(h),f,1),null!=t)return y.precision=x,u;if(!C(u.d,f-10,g,s))return I(u,y.precision=x,g,m=!0);y.precision=f+=10,c=o=d=_(l.minus(1),l.plus(1),f,1),p=I(d.times(d),f,1),i=s=1}u=c,i+=2}}function $(e){return String(e.s*e.s/0)}function H(e,t){var r,n,i;for((r=t.indexOf("."))>-1&&(t=t.replace(".","")),(n=t.search(/e/i))>0?(r<0&&(r=n),r+=+t.slice(n+1),t=t.substring(0,n)):r<0&&(r=t.length),n=0;48===t.charCodeAt(n);n++);for(i=t.length;48===t.charCodeAt(i-1);--i);if(t=t.slice(n,i)){if(i-=n,e.e=r=r-n-1,e.d=[],n=(r+1)%7,r<0&&(n+=7),n<i){for(n&&e.d.push(+t.slice(0,n)),i-=7;n<i;)e.d.push(+t.slice(n,n+=7));n=7-(t=t.slice(n)).length}else n-=i;for(;n--;)t+="0";e.d.push(+t),m&&(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 G(e,t){var r,n,i,o,s,u,c,f,l;if(t.indexOf("_")>-1){if(t=t.replace(/(\d)_(?=\d)/g,"$1"),w.test(t))return H(e,t)}else if("Infinity"===t||"NaN"===t)return+t||(e.s=NaN),e.e=NaN,e.d=null,e;if(x.test(t))r=16,t=t.toLowerCase();else if(g.test(t))r=2;else{if(!b.test(t))throw Error(h+t);r=8}for((o=t.search(/p/i))>0?(c=+t.slice(o+1),t=t.substring(2,o)):t=t.slice(2),s=(o=t.indexOf("."))>=0,n=e.constructor,s&&(o=(u=(t=t.replace(".","")).length)-o,i=j(n,new n(r),o,2*o)),o=l=(f=T(t,r,N)).length-1;0===f[o];--o)f.pop();return o<0?new n(0*e.s):(e.e=z(f,l),e.d=f,m=!1,s&&(e=_(e,i,4*u)),c&&(e=e.times(Math.abs(c)<54?y(2,c):a.pow(2,c))),m=!0,e)}function V(e,t,r,n,i){var a,o,s,u,c=e.precision,f=Math.ceil(c/7);for(m=!1,u=r.times(r),s=new e(n);;){if(o=_(s.times(u),new e(t++*t++),c,1),s=i?n.plus(o):n.minus(o),n=_(o.times(u),new e(t++*t++),c,1),void 0!==(o=s.plus(n)).d[f]){for(a=f;o.d[a]===s.d[a]&&a--;);if(-1==a)break}a=s,s=n,n=o,o=a}return m=!0,o.d.length=f+1,o}function Z(e,t){for(var r=e;--t;)r*=e;return r}function W(e,t){var r,n=t.s<0,i=q(e,e.precision,1),a=i.times(.5);if((t=t.abs()).lte(a))return s=n?4:1,t;if((r=t.divToInt(i)).isZero())s=n?3:2;else{if((t=t.minus(r.times(i))).lte(a))return s=P(r)?n?2:3:n?4:1,t;s=P(r)?n?1:4:n?3:2}return t.minus(i).abs()}function Y(e,t,r,n){var i,a,s,u,f,l,p,m,h,d=e.constructor,v=void 0!==r;if(v?(O(r,1,1e9),void 0===n?n=d.rounding:O(n,0,8)):(r=d.precision,n=d.rounding),e.isFinite()){for(v?(i=2,16==t?r=4*r-3:8==t&&(r=3*r-2)):i=t,(s=(p=k(e)).indexOf("."))>=0&&(p=p.replace(".",""),(h=new d(1)).e=p.length-s,h.d=T(k(h),10,i),h.e=h.d.length),a=f=(m=T(p,10,i)).length;0==m[--f];)m.pop();if(m[0]){if(s<0?a--:((e=new d(e)).d=m,e.e=a,m=(e=_(e,h,r,n,0,i)).d,a=e.e,l=o),s=m[r],u=i/2,l=l||void 0!==m[r+1],l=n<4?(void 0!==s||l)&&(0===n||n===(e.s<0?3:2)):s>u||s===u&&(4===n||l||6===n&&1&m[r-1]||n===(e.s<0?8:7)),m.length=r,l)for(;++m[--r]>i-1;)m[r]=0,r||(++a,m.unshift(1));for(f=m.length;!m[f-1];--f);for(s=0,p="";s<f;s++)p+=c.charAt(m[s]);if(v){if(f>1)if(16==t||8==t){for(s=16==t?4:3,--f;f%s;f++)p+="0";for(f=(m=T(p,i,t)).length;!m[f-1];--f);for(s=1,p="1.";s<f;s++)p+=c.charAt(m[s])}else p=p.charAt(0)+"."+p.slice(1);p=p+(a<0?"p":"p+")+a}else if(a<0){for(;++a;)p="0"+p;p="0."+p}else if(++a>f)for(a-=f;a--;)p+="0";else a<f&&(p=p.slice(0,a)+"."+p.slice(a))}else p=v?"0p+0":"0";p=(16==t?"0x":2==t?"0b":8==t?"0o":"")+p}else p=$(e);return e.s<0?"-"+p:p}function J(e,t){if(e.length>t)return e.length=t,!0}function X(e){return new this(e).abs()}function Q(e){return new this(e).acos()}function K(e){return new this(e).acosh()}function ee(e,t){return new this(e).plus(t)}function te(e){return new this(e).asin()}function re(e){return new this(e).asinh()}function ne(e){return new this(e).atan()}function ie(e){return new this(e).atanh()}function ae(e,t){e=new this(e),t=new this(t);var r,n=this.precision,i=this.rounding,a=n+4;return e.s&&t.s?e.d||t.d?!t.d||e.isZero()?(r=t.s<0?q(this,n,i):new this(0)).s=e.s:!e.d||t.isZero()?(r=q(this,a,1).times(.5)).s=e.s:t.s<0?(this.precision=a,this.rounding=1,r=this.atan(_(e,t,a,1)),t=q(this,a,1),this.precision=n,this.rounding=i,r=e.s<0?r.minus(t):r.plus(t)):r=this.atan(_(e,t,a,1)):(r=q(this,a,1).times(t.s>0?.25:.75)).s=e.s:r=new this(NaN),r}function oe(e){return new this(e).cbrt()}function se(e){return I(e=new this(e),e.e+1,2)}function ue(e,t,r){return new this(e).clamp(t,r)}function ce(e){if(!e||"object"!=typeof e)throw Error("[DecimalError] Object expected");var t,r,n,i=!0===e.defaults,a=["precision",1,1e9,"rounding",0,8,"toExpNeg",-u,0,"toExpPos",0,u,"maxE",0,u,"minE",-u,0,"modulo",0,9];for(t=0;t<a.length;t+=3)if(r=a[t],i&&(this[r]=p[r]),void 0!==(n=e[r])){if(!(v(n)===n&&n>=a[t+1]&&n<=a[t+2]))throw Error(h+r+": "+n);this[r]=n}if(r="crypto",i&&(this[r]=p[r]),void 0!==(n=e[r])){if(!0!==n&&!1!==n&&0!==n&&1!==n)throw Error(h+r+": "+n);if(n){if("undefined"==typeof crypto||!crypto||!crypto.getRandomValues&&!crypto.randomBytes)throw Error("[DecimalError] crypto unavailable");this[r]=!0}else this[r]=!1}return this}function fe(e){return new this(e).cos()}function le(e){return new this(e).cosh()}function pe(e,t){return new this(e).div(t)}function me(e){return new this(e).exp()}function he(e){return I(e=new this(e),e.e+1,3)}function de(){var e,t,r=new this(0);for(m=!1,e=0;e<arguments.length;)if((t=new this(arguments[e++])).d)r.d&&(r=r.plus(t.times(t)));else{if(t.s)return m=!0,new this(1/0);r=t}return m=!0,r.sqrt()}function ve(e){return e instanceof a||e&&e.toStringTag===d||!1}function ye(e){return new this(e).ln()}function ge(e,t){return new this(e).log(t)}function xe(e){return new this(e).log(2)}function be(e){return new this(e).log(10)}function we(){return F(this,arguments,"lt")}function Ne(){return F(this,arguments,"gt")}function Me(e,t){return new this(e).mod(t)}function Ee(e,t){return new this(e).mul(t)}function Se(e,t){return new this(e).pow(t)}function Ae(e){var t,r,n,i,a=0,o=new this(1),s=[];if(void 0===e?e=this.precision:O(e,1,1e9),n=Math.ceil(e/7),this.crypto)if(crypto.getRandomValues)for(t=crypto.getRandomValues(new Uint32Array(n));a<n;)(i=t[a])>=429e7?t[a]=crypto.getRandomValues(new Uint32Array(1))[0]:s[a++]=i%1e7;else{if(!crypto.randomBytes)throw Error("[DecimalError] crypto unavailable");for(t=crypto.randomBytes(n*=4);a<n;)(i=t[a]+(t[a+1]<<8)+(t[a+2]<<16)+((127&t[a+3])<<24))>=214e7?crypto.randomBytes(4).copy(t,a):(s.push(i%1e7),a+=4);a=n/4}else for(;a<n;)s[a++]=1e7*Math.random()|0;for(e%=7,(n=s[--a])&&e&&(i=y(10,7-e),s[a]=(n/i|0)*i);0===s[a];a--)s.pop();if(a<0)r=0,s=[0];else{for(r=-1;0===s[0];r-=7)s.shift();for(n=1,i=s[0];i>=10;i/=10)n++;n<7&&(r-=7-n)}return o.e=r,o.d=s,o}function Oe(e){return I(e=new this(e),e.e+1,this.rounding)}function Ce(e){return(e=new this(e)).d?e.d[0]?e.s:0*e.s:e.s||NaN}function Te(e){return new this(e).sin()}function _e(e){return new this(e).sinh()}function Ie(e){return new this(e).sqrt()}function ke(e,t){return new this(e).sub(t)}function ze(){var e=0,t=arguments,r=new this(t[e]);for(m=!1;r.s&&++e<t.length;)r=r.plus(t[e]);return m=!0,I(r,this.precision,this.rounding)}function Re(e){return new this(e).tan()}function qe(e){return new this(e).tanh()}function Be(e){return I(e=new this(e),e.e+1,1)}(a=function e(t){var r,n,i;function a(e){var t,r,n,i=this;if(!(i instanceof a))return new a(e);if(i.constructor=a,ve(e))return i.s=e.s,void(m?!e.d||e.e>a.maxE?(i.e=NaN,i.d=null):e.e<a.minE?(i.e=0,i.d=[0]):(i.e=e.e,i.d=e.d.slice()):(i.e=e.e,i.d=e.d?e.d.slice():e.d));if("number"===(n=typeof e)){if(0===e)return i.s=1/e<0?-1:1,i.e=0,void(i.d=[0]);if(e<0?(e=-e,i.s=-1):i.s=1,e===~~e&&e<1e7){for(t=0,r=e;r>=10;r/=10)t++;return void(m?t>a.maxE?(i.e=NaN,i.d=null):t<a.minE?(i.e=0,i.d=[0]):(i.e=t,i.d=[e]):(i.e=t,i.d=[e]))}return 0*e!=0?(e||(i.s=NaN),i.e=NaN,void(i.d=null)):H(i,e.toString())}if("string"!==n)throw Error(h+e);return 45===(r=e.charCodeAt(0))?(e=e.slice(1),i.s=-1):(43===r&&(e=e.slice(1)),i.s=1),w.test(e)?H(i,e):G(i,e)}if(a.prototype=S,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=ce,a.clone=e,a.isDecimal=ve,a.abs=X,a.acos=Q,a.acosh=K,a.add=ee,a.asin=te,a.asinh=re,a.atan=ne,a.atanh=ie,a.atan2=ae,a.cbrt=oe,a.ceil=se,a.clamp=ue,a.cos=fe,a.cosh=le,a.div=pe,a.exp=me,a.floor=he,a.hypot=de,a.ln=ye,a.log=ge,a.log10=be,a.log2=xe,a.max=we,a.min=Ne,a.mod=Me,a.mul=Ee,a.pow=Se,a.random=Ae,a.round=Oe,a.sign=Ce,a.sin=Te,a.sinh=_e,a.sqrt=Ie,a.sub=ke,a.sum=ze,a.tan=Re,a.tanh=qe,a.trunc=Be,void 0===t&&(t={}),t&&!0!==t.defaults)for(i=["precision","rounding","toExpNeg","toExpPos","maxE","minE","modulo","crypto"],r=0;r<i.length;)t.hasOwnProperty(n=i[r++])||(t[n]=this[n]);return a.config(t),a}(p)).prototype.constructor=a,a.default=a.Decimal=a,f=new a(f),l=new a(l),void 0===(n=function(){return a}.call(t,r,t,e))||(e.exports=n)}()},function(e,t,r){var n;
/**
* @license Fraction.js v4.2.0 05/03/2022
* https://www.xarg.org/2014/03/rational-numbers-in-javascript/
*
* Copyright (c) 2021, Robert Eisele (robert@xarg.org)
* Dual licensed under the MIT or GPL Version 2 licenses.
**/!function(r){"use strict";var i={s:1,n:0,d:1};function a(e,t){if(isNaN(e=parseInt(e,10)))throw f.InvalidParameter;return e*t}function o(e,t){if(0===t)throw f.DivisionByZero;var r=Object.create(f.prototype);r.s=e<0?-1:1;var n=c(e=e<0?-e:e,t);return r.n=e/n,r.d=t/n,r}function s(e){for(var t={},r=e,n=2,i=4;i<=r;){for(;r%n==0;)r/=n,t[n]=(t[n]||0)+1;i+=1+2*n++}return r!==e?r>1&&(t[r]=(t[r]||0)+1):t[e]=(t[e]||0)+1,t}var u=function(e,t){var r,n=0,o=1,s=1,u=0,c=0,l=0,p=1,m=1,h=0,d=1,v=1,y=1,g=1e7;if(null==e);else if(void 0!==t){if(s=(n=e)*(o=t),n%1!=0||o%1!=0)throw f.NonIntegerParameter}else switch(typeof e){case"object":if("d"in e&&"n"in e)n=e.n,o=e.d,"s"in e&&(n*=e.s);else{if(!(0 in e))throw f.InvalidParameter;n=e[0],1 in e&&(o=e[1])}s=n*o;break;case"number":if(e<0&&(s=e,e=-e),e%1==0)n=e;else if(e>0){for(e>=1&&(e/=m=Math.pow(10,Math.floor(1+Math.log(e)/Math.LN10)));d<=g&&y<=g;){if(e===(r=(h+v)/(d+y))){d+y<=g?(n=h+v,o=d+y):y>d?(n=v,o=y):(n=h,o=d);break}e>r?(h+=v,d+=y):(v+=h,y+=d),d>g?(n=v,o=y):(n=h,o=d)}n*=m}else(isNaN(e)||isNaN(t))&&(o=n=NaN);break;case"string":if(null===(d=e.match(/\d+|./g)))throw f.InvalidParameter;if("-"===d[h]?(s=-1,h++):"+"===d[h]&&h++,d.length===h+1?c=a(d[h++],s):"."===d[h+1]||"."===d[h]?("."!==d[h]&&(u=a(d[h++],s)),(++h+1===d.length||"("===d[h+1]&&")"===d[h+3]||"'"===d[h+1]&&"'"===d[h+3])&&(c=a(d[h],s),p=Math.pow(10,d[h].length),h++),("("===d[h]&&")"===d[h+2]||"'"===d[h]&&"'"===d[h+2])&&(l=a(d[h+1],s),m=Math.pow(10,d[h+1].length)-1,h+=3)):"/"===d[h+1]||":"===d[h+1]?(c=a(d[h],s),p=a(d[h+2],1),h+=3):"/"===d[h+3]&&" "===d[h+1]&&(u=a(d[h],s),c=a(d[h+2],s),p=a(d[h+4],1),h+=5),d.length<=h){s=n=l+(o=p*m)*u+m*c;break}default:throw f.InvalidParameter}if(0===o)throw f.DivisionByZero;i.s=s<0?-1:1,i.n=Math.abs(n),i.d=Math.abs(o)};function c(e,t){if(!e)return t;if(!t)return e;for(;;){if(!(e%=t))return t;if(!(t%=e))return e}}function f(e,t){if(u(e,t),!(this instanceof f))return o(i.s*i.n,i.d);e=c(i.d,i.n),this.s=i.s,this.n=i.n/e,this.d=i.d/e}f.DivisionByZero=new Error("Division by Zero"),f.InvalidParameter=new Error("Invalid argument"),f.NonIntegerParameter=new Error("Parameters must be integer"),f.prototype={s:1,n:0,d:1,abs:function(){return o(this.n,this.d)},neg:function(){return o(-this.s*this.n,this.d)},add:function(e,t){return u(e,t),o(this.s*this.n*i.d+i.s*this.d*i.n,this.d*i.d)},sub:function(e,t){return u(e,t),o(this.s*this.n*i.d-i.s*this.d*i.n,this.d*i.d)},mul:function(e,t){return u(e,t),o(this.s*i.s*this.n*i.n,this.d*i.d)},div:function(e,t){return u(e,t),o(this.s*i.s*this.n*i.d,this.d*i.n)},clone:function(){return o(this.s*this.n,this.d)},mod:function(e,t){if(isNaN(this.n)||isNaN(this.d))return new f(NaN);if(void 0===e)return o(this.s*this.n%this.d,1);if(u(e,t),0===i.n&&0===this.d)throw f.DivisionByZero;return o(this.s*(i.d*this.n)%(i.n*this.d),i.d*this.d)},gcd:function(e,t){return u(e,t),o(c(i.n,this.n)*c(i.d,this.d),i.d*this.d)},lcm:function(e,t){return u(e,t),0===i.n&&0===this.n?o(0,1):o(i.n*this.n,c(i.n,this.n)*c(i.d,this.d))},ceil:function(e){return e=Math.pow(10,e||0),isNaN(this.n)||isNaN(this.d)?new f(NaN):o(Math.ceil(e*this.s*this.n/this.d),e)},floor:function(e){return e=Math.pow(10,e||0),isNaN(this.n)||isNaN(this.d)?new f(NaN):o(Math.floor(e*this.s*this.n/this.d),e)},round:function(e){return e=Math.pow(10,e||0),isNaN(this.n)||isNaN(this.d)?new f(NaN):o(Math.round(e*this.s*this.n/this.d),e)},inverse:function(){return o(this.s*this.d,this.n)},pow:function(e,t){if(u(e,t),1===i.d)return i.s<0?o(Math.pow(this.s*this.d,i.n),Math.pow(this.n,i.n)):o(Math.pow(this.s*this.n,i.n),Math.pow(this.d,i.n));if(this.s<0)return null;var r=s(this.n),n=s(this.d),a=1,c=1;for(var f in r)if("1"!==f){if("0"===f){a=0;break}if(r[f]*=i.n,r[f]%i.d!=0)return null;r[f]/=i.d,a*=Math.pow(f,r[f])}for(var f in n)if("1"!==f){if(n[f]*=i.n,n[f]%i.d!=0)return null;n[f]/=i.d,c*=Math.pow(f,n[f])}return i.s<0?o(c,a):o(a,c)},equals:function(e,t){return u(e,t),this.s*this.n*i.d==i.s*i.n*this.d},compare:function(e,t){u(e,t);var r=this.s*this.n*i.d-i.s*i.n*this.d;return(0<r)-(r<0)},simplify:function(e){if(isNaN(this.n)||isNaN(this.d))return this;e=e||.001;for(var t=this.abs(),r=t.toContinued(),n=1;n<r.length;n++){for(var i=o(r[n-1],1),a=n-2;a>=0;a--)i=i.inverse().add(r[a]);if(i.sub(t).abs().valueOf()<e)return i.mul(this.s)}return this},divisible:function(e,t){return u(e,t),!(!(i.n*this.d)||this.n*i.d%(i.n*this.d))},valueOf:function(){return this.s*this.n/this.d},toFraction:function(e){var t,r="",n=this.n,i=this.d;return this.s<0&&(r+="-"),1===i?r+=n:(e&&(t=Math.floor(n/i))>0&&(r+=t,r+=" ",n%=i),r+=n,r+="/",r+=i),r},toLatex:function(e){var t,r="",n=this.n,i=this.d;return this.s<0&&(r+="-"),1===i?r+=n:(e&&(t=Math.floor(n/i))>0&&(r+=t,n%=i),r+="\\frac{",r+=n,r+="}{",r+=i,r+="}"),r},toContinued:function(){var e,t=this.n,r=this.d,n=[];if(isNaN(t)||isNaN(r))return n;do{n.push(Math.floor(t/r)),e=t%r,t=r,r=e}while(1!==t);return n},toString:function(e){var t=this.n,r=this.d;if(isNaN(t)||isNaN(r))return"NaN";e=e||15;var n=function(e,t){for(;t%2==0;t/=2);for(;t%5==0;t/=5);if(1===t)return 0;for(var r=10%t,n=1;1!==r;n++)if(r=10*r%t,n>2e3)return 0;return n}(0,r),i=function(e,t,r){for(var n=1,i=function(e,t,r){for(var n=1;t>0;e=e*e%r,t>>=1)1&t&&(n=n*e%r);return n}(10,r,t),a=0;a<300;a++){if(n===i)return a;n=10*n%t,i=10*i%t}return 0}(0,r,n),a=this.s<0?"-":"";if(a+=t/r|0,t%=r,(t*=10)&&(a+="."),n){for(var o=i;o--;)a+=t/r|0,t%=r,t*=10;a+="(";for(o=n;o--;)a+=t/r|0,t%=r,t*=10;a+=")"}else for(o=e;t&&o--;)a+=t/r|0,t%=r,t*=10;return a}},void 0===(n=function(){return f}.apply(t,[]))||(e.exports=n)}()},function(e,t){e.exports=function e(t,r){"use strict";var n,i,a=/(^([+\-]?(?:0|[1-9]\d*)(?:\.\d*)?(?:[eE][+\-]?\d+)?)?$|^0x[0-9a-f]+$|\d+)/gi,o=/(^[ ]*|[ ]*$)/g,s=/(^([\w ]+,?[\w ]+)?[\w ]+,?[\w ]+\d+:\d+(:\d+)?[\w ]?|^\d{1,4}[\/\-]\d{1,4}[\/\-]\d{1,4}|^\w+, \w+ \d+, \d{4})/,u=/^0x[0-9a-f]+$/i,c=/^0/,f=function(t){return e.insensitive&&(""+t).toLowerCase()||""+t},l=f(t).replace(o,"")||"",p=f(r).replace(o,"")||"",m=l.replace(a,"\0$1\0").replace(/\0$/,"").replace(/^\0/,"").split("\0"),h=p.replace(a,"\0$1\0").replace(/\0$/,"").replace(/^\0/,"").split("\0"),d=parseInt(l.match(u),16)||1!==m.length&&l.match(s)&&Date.parse(l),v=parseInt(p.match(u),16)||d&&p.match(s)&&Date.parse(p)||null;if(v){if(d<v)return-1;if(d>v)return 1}for(var y=0,g=Math.max(m.length,h.length);y<g;y++){if(n=!(m[y]||"").match(c)&&parseFloat(m[y])||m[y]||0,i=!(h[y]||"").match(c)&&parseFloat(h[y])||h[y]||0,isNaN(n)!==isNaN(i))return isNaN(n)?1:-1;if(typeof n!=typeof i&&(n+="",i+=""),n<i)return-1;if(n>i)return 1}return 0}},function(e,t,r){var n=r(79),i=r(7);e.exports=!!Object.getOwnPropertySymbols&&!i((function(){var e=Symbol();return!String(e)||!(Object(e)instanceof Symbol)||!Symbol.sham&&n&&n<41}))},function(e,t,r){var n=r(54);e.exports=function(e,t){var r=e[t];return null==r?void 0:n(r)}},function(e,t,r){var n=r(50),i=r(110);(e.exports=function(e,t){return i[e]||(i[e]=void 0!==t?t:{})})("versions",[]).push({version:"3.22.4",mode:n?"pure":"global",copyright:"© 2014-2022 Denis Pushkarev (zloirock.ru)",license:"https://github.com/zloirock/core-js/blob/v3.22.4/LICENSE",source:"https://github.com/zloirock/core-js"})},function(e,t,r){var n=r(146),i=r(112).concat("length","prototype");t.f=Object.getOwnPropertyNames||function(e){return n(e,i)}},function(e,t,r){var n=r(9),i=r(54),a=r(94),o=n(n.bind);e.exports=function(e,t){return i(e),void 0===t?e:a?o(e,t):function(){return e.apply(t,arguments)}}},function(e,t,r){var n,i=r(24),a=r(158),o=r(112),s=r(82),u=r(159),c=r(97),f=r(99),l=f("IE_PROTO"),p=function(){},m=function(e){return"<script>"+e+"<\/script>"},h=function(e){e.write(m("")),e.close();var t=e.parentWindow.Object;return e=null,t},d=function(){try{n=new ActiveXObject("htmlfile")}catch(e){}var e,t;d="undefined"!=typeof document?document.domain&&n?h(n):((t=c("iframe")).style.display="none",u.appendChild(t),t.src=String("javascript:"),(e=t.contentWindow.document).open(),e.write(m("document.F=Object")),e.close(),e.F):h(n);for(var r=o.length;r--;)delete d.prototype[o[r]];return d()};s[l]=!0,e.exports=Object.create||function(e,t){var r;return null!==e?(p.prototype=i(e),r=new p,p.prototype=null,r[l]=e):r=d(),void 0===t?r:a.f(r,t)}},function(e,t,r){"use strict";var n=r(95),i=r(23),a=r(77);e.exports=function(e,t,r){var o=n(t);o in e?i.f(e,o,a(0,r)):e[o]=r}},function(e,t,r){"use strict";var n=r(106),i=r(17),a=r(9),o=r(124),s=r(7),u=r(24),c=r(12),f=r(61),l=r(100),p=r(28),m=r(49),h=r(125),d=r(67),v=r(216),y=r(127),g=r(15)("replace"),x=Math.max,b=Math.min,w=a([].concat),N=a([].push),M=a("".indexOf),E=a("".slice),S="$0"==="a".replace(/./,"$0"),A=!!/./[g]&&""===/./[g]("a","$0");o("replace",(function(e,t,r){var a=A?"$":"$0";return[function(e,r){var n=m(this),a=null==e?void 0:d(e,g);return a?i(a,e,n,r):i(t,p(n),e,r)},function(e,i){var o=u(this),s=p(e);if("string"==typeof i&&-1===M(i,a)&&-1===M(i,"$<")){var m=r(t,o,s,i);if(m.done)return m.value}var d=c(i);d||(i=p(i));var g=o.global;if(g){var S=o.unicode;o.lastIndex=0}for(var A=[];;){var O=y(o,s);if(null===O)break;if(N(A,O),!g)break;""===p(O[0])&&(o.lastIndex=h(s,l(o.lastIndex),S))}for(var C,T="",_=0,I=0;I<A.length;I++){for(var k=p((O=A[I])[0]),z=x(b(f(O.index),s.length),0),R=[],q=1;q<O.length;q++)N(R,void 0===(C=O[q])?C:String(C));var B=O.groups;if(d){var D=w([k],R,z,s);void 0!==B&&N(D,B);var j=p(n(i,void 0,D))}else j=v(k,s,z,R,B,i);z>=_&&(T+=E(s,_,z)+j,_=z+k.length)}return T+E(s,_)}]}),!!s((function(){var e=/./;return e.exec=function(){var e=[];return e.groups={a:"7"},e},"7"!=="".replace(e,"$<a>")}))||!S||A)},function(e,t){e.exports=function(e){return e.webpackPolyfill||(e.deprecate=function(){},e.paths=[],e.children||(e.children=[]),Object.defineProperty(e,"loaded",{enumerable:!0,get:function(){return e.l}}),Object.defineProperty(e,"id",{enumerable:!0,get:function(){return e.i}}),e.webpackPolyfill=1),e}},function(e,t){(function(t){e.exports=t}).call(this,{})},function(e,t){e.exports=function(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t){e.exports=function(e,t){return{enumerable:!(1&e),configurable:!(2&e),writable:!(4&e),value:t}}},function(e,t,r){var n=r(1),i=r(40),a=r(12),o=r(53),s=r(140),u=n.Object;e.exports=s?function(e){return"symbol"==typeof e}:function(e){var t=i("Symbol");return a(t)&&o(t.prototype,u(e))}},function(e,t,r){var n,i,a=r(1),o=r(60),s=a.process,u=a.Deno,c=s&&s.versions||u&&u.version,f=c&&c.v8;f&&(i=(n=f.split("."))[0]>0&&n[0]<4?1:+(n[0]+n[1])),!i&&o&&(!(n=o.match(/Edge\/(\d+)/))||n[1]>=74)&&(n=o.match(/Chrome\/(\d+)/))&&(i=+n[1]),e.exports=i},function(e,t,r){var n=r(1).String;e.exports=function(e){try{return n(e)}catch(e){return"Object"}}},function(e,t,r){var n=r(21),i=r(22),a=Function.prototype,o=n&&Object.getOwnPropertyDescriptor,s=i(a,"name"),u=s&&"something"===function(){}.name,c=s&&(!n||n&&o(a,"name").configurable);e.exports={EXISTS:s,PROPER:u,CONFIGURABLE:c}},function(e,t){e.exports={}},function(e,t,r){var n=r(61),i=Math.max,a=Math.min;e.exports=function(e,t){var r=n(e);return r<0?i(r+t,0):a(r,t)}},function(e,t,r){var n=r(7),i=r(12),a=/#|\.prototype\./,o=function(e,t){var r=u[s(e)];return r==f||r!=c&&(i(t)?n(t):!!t)},s=o.normalize=function(e){return String(e).replace(a,".").toLowerCase()},u=o.data={},c=o.NATIVE="N",f=o.POLYFILL="P";e.exports=o},function(e,t,r){var n=r(70),i=r(9),a=r(109),o=r(37),s=r(47),u=r(116),c=i([].push),f=function(e){var t=1==e,r=2==e,i=3==e,f=4==e,l=6==e,p=7==e,m=5==e||l;return function(h,d,v,y){for(var g,x,b=o(h),w=a(b),N=n(d,v),M=s(w),E=0,S=y||u,A=t?S(h,M):r||p?S(h,0):void 0;M>E;E++)if((m||E in w)&&(x=N(g=w[E],E,b),e))if(t)A[E]=x;else if(x)switch(e){case 3:return!0;case 5:return g;case 6:return E;case 2:c(A,g)}else switch(e){case 4:return!1;case 7:c(A,g)}return l?-1:i||f?f:A}};e.exports={forEach:f(0),map:f(1),filter:f(2),some:f(3),every:f(4),find:f(5),findIndex:f(6),filterReject:f(7)}},function(e,t,r){var n=r(7),i=r(15),a=r(79),o=i("species");e.exports=function(e){return a>=51||!n((function(){var t=[];return(t.constructor={})[o]=function(){return{foo:1}},1!==t[e](Boolean).foo}))}},function(e,t,r){"use strict";var n=r(17),i=r(124),a=r(24),o=r(100),s=r(28),u=r(49),c=r(67),f=r(125),l=r(127);i("match",(function(e,t,r){return[function(t){var r=u(this),i=null==t?void 0:c(t,e);return i?n(i,t,r):new RegExp(t)[e](s(r))},function(e){var n=a(this),i=s(e),u=r(t,n,i);if(u.done)return u.value;if(!n.global)return l(n,i);var c=n.unicode;n.lastIndex=0;for(var p,m=[],h=0;null!==(p=l(n,i));){var d=s(p[0]);m[h]=d,""===d&&(n.lastIndex=f(i,o(n.lastIndex),c)),h++}return 0===h?null:m}]}))},function(e,t,r){"use strict";var n=r(3),i=r(224);n({target:"String",proto:!0,forced:r(225)("sub")},{sub:function(){return i(this,"sub","","")}})},function(e,t){e.exports={}},function(e,t,r){var n=r(23).f,i=r(22),a=r(15)("toStringTag");e.exports=function(e,t,r){e&&!r&&(e=e.prototype),e&&!i(e,a)&&n(e,a,{configurable:!0,value:t})}},function(e,t,r){var n=r(1);e.exports=n.Promise},function(e,t,r){var n=r(1),i=r(91),a=r(12),o=r(84),s=r(98),u=r(15),c=r(247),f=r(50),l=r(79),p=i&&i.prototype,m=u("species"),h=!1,d=a(n.PromiseRejectionEvent),v=o("Promise",(function(){var e=s(i),t=e!==String(i);if(!t&&66===l)return!0;if(f&&(!p.catch||!p.finally))return!0;if(l>=51&&/native code/.test(e))return!1;var r=new i((function(e){e(1)})),n=function(e){e((function(){}),(function(){}))};return(r.constructor={})[m]=n,!(h=r.then((function(){}))instanceof n)||!t&&c&&!d}));e.exports={CONSTRUCTOR:v,REJECTION_EVENT:d,SUBCLASSING:h}},function(e,t,r){"use strict";var n=r(54),i=function(e){var t,r;this.promise=new e((function(e,n){if(void 0!==t||void 0!==r)throw TypeError("Bad Promise constructor");t=e,r=n})),this.resolve=n(t),this.reject=n(r)};e.exports.f=function(e){return new i(e)}},function(e,t,r){var n=r(7);e.exports=!n((function(){var e=function(){}.bind();return"function"!=typeof e||e.hasOwnProperty("prototype")}))},function(e,t,r){var n=r(139),i=r(78);e.exports=function(e){var t=n(e,"string");return i(t)?t:t+""}},function(e,t,r){var n=r(9),i=0,a=Math.random(),o=n(1..toString);e.exports=function(e){return"Symbol("+(void 0===e?"":e)+")_"+o(++i+a,36)}},function(e,t,r){var n=r(1),i=r(25),a=n.document,o=i(a)&&i(a.createElement);e.exports=function(e){return o?a.createElement(e):{}}},function(e,t,r){var n=r(9),i=r(12),a=r(110),o=n(Function.toString);i(a.inspectSource)||(a.inspectSource=function(e){return o(e)}),e.exports=a.inspectSource},function(e,t,r){var n=r(68),i=r(96),a=n("keys");e.exports=function(e){return a[e]||(a[e]=i(e))}},function(e,t,r){var n=r(61),i=Math.min;e.exports=function(e){return e>0?i(n(e),9007199254740991):0}},function(e,t,r){var n=r(1),i=r(115),a=r(12),o=r(45),s=r(15)("toStringTag"),u=n.Object,c="Arguments"==o(function(){return arguments}());e.exports=i?o:function(e){var t,r,n;return void 0===e?"Undefined":null===e?"Null":"string"==typeof(r=function(e,t){try{return e[t]}catch(e){}}(t=u(e),s))?r:c?o(t):"Object"==(n=o(t))&&a(t.callee)?"Arguments":n}},function(e,t,r){var n=r(45);e.exports=Array.isArray||function(e){return"Array"==n(e)}},function(e,t,r){var n=r(9),i=r(7),a=r(12),o=r(101),s=r(40),u=r(98),c=function(){},f=[],l=s("Reflect","construct"),p=/^\s*(?:class|function)\b/,m=n(p.exec),h=!p.exec(c),d=function(e){if(!a(e))return!1;try{return l(c,f,e),!0}catch(e){return!1}},v=function(e){if(!a(e))return!1;switch(o(e)){case"AsyncFunction":case"GeneratorFunction":case"AsyncGeneratorFunction":return!1}try{return h||!!m(p,u(e))}catch(e){return!0}};v.sham=!0,e.exports=!l||i((function(){var e;return d(d.call)||!d(Object)||!d((function(){e=!0}))||e}))?v:d},function(e,t,r){var n=r(7),i=r(1).RegExp,a=n((function(){var e=i("a","y");return e.lastIndex=2,null!=e.exec("abcd")})),o=a||n((function(){return!i("a","y").sticky})),s=a||n((function(){var e=i("^r","gy");return e.lastIndex=2,null!=e.exec("str")}));e.exports={BROKEN_CARET:s,MISSED_STICKY:o,UNSUPPORTED_Y:a}},function(e,t,r){"use strict";var n,i,a=r(17),o=r(9),s=r(28),u=r(154),c=r(104),f=r(68),l=r(71),p=r(46).get,m=r(122),h=r(155),d=f("native-string-replace",String.prototype.replace),v=RegExp.prototype.exec,y=v,g=o("".charAt),x=o("".indexOf),b=o("".replace),w=o("".slice),N=(i=/b*/g,a(v,n=/a/,"a"),a(v,i,"a"),0!==n.lastIndex||0!==i.lastIndex),M=c.BROKEN_CARET,E=void 0!==/()??/.exec("")[1];(N||E||M||m||h)&&(y=function(e){var t,r,n,i,o,c,f,m=this,h=p(m),S=s(e),A=h.raw;if(A)return A.lastIndex=m.lastIndex,t=a(y,A,S),m.lastIndex=A.lastIndex,t;var O=h.groups,C=M&&m.sticky,T=a(u,m),_=m.source,I=0,k=S;if(C&&(T=b(T,"y",""),-1===x(T,"g")&&(T+="g"),k=w(S,m.lastIndex),m.lastIndex>0&&(!m.multiline||m.multiline&&"\n"!==g(S,m.lastIndex-1))&&(_="(?: "+_+")",k=" "+k,I++),r=new RegExp("^(?:"+_+")",T)),E&&(r=new RegExp("^"+_+"$(?!\\s)",T)),N&&(n=m.lastIndex),i=a(v,C?r:m,k),C?i?(i.input=w(i.input,I),i[0]=w(i[0],I),i.index=m.lastIndex,m.lastIndex+=i[0].length):m.lastIndex=0:N&&i&&(m.lastIndex=m.global?i.index+i[0].length:n),E&&i&&i.length>1&&a(d,i[0],r,(function(){for(o=1;o<arguments.length-2;o++)void 0===arguments[o]&&(i[o]=void 0)})),i&&O)for(i.groups=c=l(null),o=0;o<O.length;o++)c[(f=O[o])[0]]=i[f[1]];return i}),e.exports=y},function(e,t,r){var n=r(94),i=Function.prototype,a=i.apply,o=i.call;e.exports="object"==typeof Reflect&&Reflect.apply||(n?o.bind(a):function(){return o.apply(a,arguments)})},function(e,t){var r=Math.expm1,n=Math.exp;e.exports=!r||r(10)>22025.465794806718||r(10)<22025.465794806718||-2e-17!=r(-2e-17)?function(e){return 0==(e=+e)?e:e>-1e-6&&e<1e-6?e+e*e/2:n(e)-1}:r},function(e,t,r){var n=r(1),i=r(70),a=r(17),o=r(24),s=r(80),u=r(176),c=r(47),f=r(53),l=r(177),p=r(130),m=r(178),h=n.TypeError,d=function(e,t){this.stopped=e,this.result=t},v=d.prototype;e.exports=function(e,t,r){var n,y,g,x,b,w,N,M=r&&r.that,E=!(!r||!r.AS_ENTRIES),S=!(!r||!r.IS_ITERATOR),A=!(!r||!r.INTERRUPTED),O=i(t,M),C=function(e){return n&&m(n,"normal",e),new d(!0,e)},T=function(e){return E?(o(e),A?O(e[0],e[1],C):O(e[0],e[1])):A?O(e,C):O(e)};if(S)n=e;else{if(!(y=p(e)))throw h(s(e)+" is not iterable");if(u(y)){for(g=0,x=c(e);x>g;g++)if((b=T(e[g]))&&f(v,b))return b;return new d(!1)}n=l(e,y)}for(w=n.next;!(N=a(w,n)).done;){try{b=T(N.value)}catch(e){m(n,"throw",e)}if("object"==typeof b&&b&&f(v,b))return b}return new d(!1)}},function(e,t,r){var n=r(1),i=r(9),a=r(7),o=r(45),s=n.Object,u=i("".split);e.exports=a((function(){return!s("z").propertyIsEnumerable(0)}))?function(e){return"String"==o(e)?u(e,""):s(e)}:s},function(e,t,r){var n=r(1),i=r(111),a=n["__core-js_shared__"]||i("__core-js_shared__",{});e.exports=a},function(e,t,r){var n=r(1),i=Object.defineProperty;e.exports=function(e,t){try{i(n,e,{value:t,configurable:!0,writable:!0})}catch(r){n[e]=t}return t}},function(e,t){e.exports=["constructor","hasOwnProperty","isPrototypeOf","propertyIsEnumerable","toLocaleString","toString","valueOf"]},function(e,t){t.f=Object.getOwnPropertySymbols},function(e,t,r){var n=r(146),i=r(112);e.exports=Object.keys||function(e){return n(e,i)}},function(e,t,r){var n={};n[r(15)("toStringTag")]="z",e.exports="[object z]"===String(n)},function(e,t,r){var n=r(202);e.exports=function(e,t){return new(n(e))(0===t?0:t)}},function(e,t,r){"use strict";var n=r(7);e.exports=function(e,t){var r=[][e];return!!r&&n((function(){r.call(null,t||function(){return 1},1)}))}},function(e,t,r){var n=r(1),i=r(22),a=r(12),o=r(37),s=r(99),u=r(150),c=s("IE_PROTO"),f=n.Object,l=f.prototype;e.exports=u?f.getPrototypeOf:function(e){var t=o(e);if(i(t,c))return t[c];var r=t.constructor;return a(r)&&t instanceof r?r.prototype:t instanceof f?l:null}},function(e,t,r){var n=r(12),i=r(25),a=r(120);e.exports=function(e,t,r){var o,s;return a&&n(o=t.constructor)&&o!==r&&i(s=o.prototype)&&s!==r.prototype&&a(e,s),e}},function(e,t,r){var n=r(9),i=r(24),a=r(203);e.exports=Object.setPrototypeOf||("__proto__"in{}?function(){var e,t=!1,r={};try{(e=n(Object.getOwnPropertyDescriptor(Object.prototype,"__proto__").set))(r,[]),t=r instanceof Array}catch(e){}return function(r,n){return i(r),a(n),t?e(r,n):r.__proto__=n,r}}():void 0)},function(e,t,r){"use strict";var n=r(40),i=r(23),a=r(15),o=r(21),s=a("species");e.exports=function(e){var t=n(e),r=i.f;o&&t&&!t[s]&&r(t,s,{configurable:!0,get:function(){return this}})}},function(e,t,r){var n=r(7),i=r(1).RegExp;e.exports=n((function(){var e=i(".","s");return!(e.dotAll&&e.exec("\n")&&"s"===e.flags)}))},function(e,t,r){var n=r(9);e.exports=n([].slice)},function(e,t,r){"use strict";r(10);var n=r(9),i=r(35),a=r(105),o=r(7),s=r(15),u=r(55),c=s("species"),f=RegExp.prototype;e.exports=function(e,t,r,l){var p=s(e),m=!o((function(){var t={};return t[p]=function(){return 7},7!=""[e](t)})),h=m&&!o((function(){var t=!1,r=/a/;return"split"===e&&((r={}).constructor={},r.constructor[c]=function(){return r},r.flags="",r[p]=/./[p]),r.exec=function(){return t=!0,null},r[p](""),!t}));if(!m||!h||r){var d=n(/./[p]),v=t(p,""[e],(function(e,t,r,i,o){var s=n(e),u=t.exec;return u===a||u===f.exec?m&&!o?{done:!0,value:d(t,r,i)}:{done:!0,value:s(r,t,i)}:{done:!1}}));i(String.prototype,e,v[0]),i(f,p,v[1])}l&&u(f[p],"sham",!0)}},function(e,t,r){"use strict";var n=r(162).charAt;e.exports=function(e,t,r){return t+(r?n(e,t).length:1)}},function(e,t,r){var n=r(1),i=r(83),a=r(47),o=r(72),s=n.Array,u=Math.max;e.exports=function(e,t,r){for(var n=a(e),c=i(t,n),f=i(void 0===r?n:r,n),l=s(u(f-c,0)),p=0;c<f;c++,p++)o(l,p,e[c]);return l.length=p,l}},function(e,t,r){var n=r(1),i=r(17),a=r(24),o=r(12),s=r(45),u=r(105),c=n.TypeError;e.exports=function(e,t){var r=e.exec;if(o(r)){var n=i(r,e,t);return null!==n&&a(n),n}if("RegExp"===s(e))return i(u,e,t);throw c("RegExp#exec called on incompatible receiver")}},function(e,t,r){var n=r(15),i=r(71),a=r(23),o=n("unscopables"),s=Array.prototype;null==s[o]&&a.f(s,o,{configurable:!0,value:i(null)}),e.exports=function(e){s[o][e]=!0}},function(e,t,r){"use strict";var n=r(3),i=r(17),a=r(50),o=r(81),s=r(12),u=r(226),c=r(118),f=r(120),l=r(90),p=r(55),m=r(35),h=r(15),d=r(89),v=r(171),y=o.PROPER,g=o.CONFIGURABLE,x=v.IteratorPrototype,b=v.BUGGY_SAFARI_ITERATORS,w=h("iterator"),N=function(){return this};e.exports=function(e,t,r,o,h,v,M){u(r,t,o);var E,S,A,O=function(e){if(e===h&&k)return k;if(!b&&e in _)return _[e];switch(e){case"keys":case"values":case"entries":return function(){return new r(this,e)}}return function(){return new r(this)}},C=t+" Iterator",T=!1,_=e.prototype,I=_[w]||_["@@iterator"]||h&&_[h],k=!b&&I||O(h),z="Array"==t&&_.entries||I;if(z&&(E=c(z.call(new e)))!==Object.prototype&&E.next&&(a||c(E)===x||(f?f(E,x):s(E[w])||m(E,w,N)),l(E,C,!0,!0),a&&(d[C]=N)),y&&"values"==h&&I&&"values"!==I.name&&(!a&&g?p(_,"name","values"):(T=!0,k=function(){return i(I,this)})),h)if(S={values:O("values"),keys:v?k:O("keys"),entries:O("entries")},M)for(A in S)(b||T||!(A in _))&&m(_,A,S[A]);else n({target:t,proto:!0,forced:b||T},S);return a&&!M||_[w]===k||m(_,w,k,{name:h}),d[t]=k,S}},function(e,t,r){var n=r(101),i=r(67),a=r(89),o=r(15)("iterator");e.exports=function(e){if(null!=e)return i(e,o)||i(e,"@@iterator")||a[n(e)]}},function(e,t,r){var n=r(1),i=r(53),a=n.TypeError;e.exports=function(e,t){if(i(t,e))return e;throw a("Incorrect invocation")}},function(e,t,r){var n=r(15)("iterator"),i=!1;try{var a=0,o={next:function(){return{done:!!a++}},return:function(){i=!0}};o[n]=function(){return this},Array.from(o,(function(){throw 2}))}catch(e){}e.exports=function(e,t){if(!t&&!i)return!1;var r=!1;try{var a={};a[n]=function(){return{next:function(){return{done:r=!0}}}},e(a)}catch(e){}return r}},function(e,t,r){var n=r(45),i=r(1);e.exports="process"==n(i.process)},function(e,t){e.exports=function(e){try{return{error:!1,value:e()}}catch(e){return{error:!0,value:e}}}},function(e,t,r){var n=r(3),i=r(263),a=r(128);n({target:"Array",proto:!0},{fill:i}),a("fill")},function(e,t,r){"use strict";var n,i,a;i=[],void 0===(a="function"==typeof(n=function(){function e(){return!0}function t(){return!1}function r(){}return function n(){var i=[{name:"number",test:function(e){return"number"==typeof e}},{name:"string",test:function(e){return"string"==typeof e}},{name:"boolean",test:function(e){return"boolean"==typeof e}},{name:"Function",test:function(e){return"function"==typeof e}},{name:"Array",test:Array.isArray},{name:"Date",test:function(e){return e instanceof Date}},{name:"RegExp",test:function(e){return e instanceof RegExp}},{name:"Object",test:function(e){return"object"==typeof e&&null!==e&&e.constructor===Object}},{name:"null",test:function(e){return null===e}},{name:"undefined",test:function(e){return void 0===e}}],a={name:"any",test:e},o=[],s=[],u={types:i,conversions:s,ignore:o};function c(e){var t=F(u.types,(function(t){return t.name===e}));if(t)return t;if("any"===e)return a;var r=F(u.types,(function(t){return t.name.toLowerCase()===e.toLowerCase()}));throw new TypeError('Unknown type "'+e+'"'+(r?'. Did you mean "'+r.name+'"?':""))}function f(e){return e===a?999:u.types.indexOf(e)}function l(e){var t=F(u.types,(function(t){return t.test(e)}));if(t)return t.name;throw new TypeError("Value has unknown type. Value: "+e)}function p(e){return e.map((function(e){var t=e.types.map(b);return(e.restParam?"...":"")+t.join("|")})).join(",")}function m(e,t){var r=0===e.indexOf("..."),n=(r?e.length>3?e.slice(3):"any":e).split("|").map(z).filter(R).filter(k),i=function(e,t){var r={};return e.forEach((function(e){-1!==t.indexOf(e.from)||-1===t.indexOf(e.to)||r[e.from]||(r[e.from]=e)})),Object.keys(r).map((function(e){return r[e]}))}(t,n),a=n.map((function(e){var t=c(e);return{name:e,typeIndex:f(t),test:t.test,conversion:null,conversionIndex:-1}})),o=i.map((function(e){var r=c(e.from);return{name:e.from,typeIndex:f(r),test:r.test,conversion:e,conversionIndex:t.indexOf(e)}}));return{types:a.concat(o),restParam:r}}function h(e){var t=D(e);return!!t&&t.restParam}function d(e){return e.types.some((function(e){return null!=e.conversion}))}function v(t){if(t&&0!==t.types.length){if(1===t.types.length)return c(t.types[0].name).test;if(2===t.types.length){var r=c(t.types[0].name).test,n=c(t.types[1].name).test;return function(e){return r(e)||n(e)}}var i=t.types.map((function(e){return c(e.name).test}));return function(e){for(var t=0;t<i.length;t++)if(i[t](e))return!0;return!1}}return e}function y(e){var t,r,n,i;if(h(e)){var a=(t=(i=e,i.slice(0,i.length-1)).map(v)).length,o=v(D(e));return function(e){for(var r=0;r<t.length;r++)if(!t[r](e[r]))return!1;return function(e){for(var t=a;t<e.length;t++)if(!o(e[t]))return!1;return!0}(e)&&e.length>=a+1}}return 0===e.length?function(e){return 0===e.length}:1===e.length?(r=v(e[0]),function(e){return r(e[0])&&1===e.length}):2===e.length?(r=v(e[0]),n=v(e[1]),function(e){return r(e[0])&&n(e[1])&&2===e.length}):(t=e.map(v),function(e){for(var r=0;r<t.length;r++)if(!t[r](e[r]))return!1;return e.length===t.length})}function g(e,t){return t<e.params.length?e.params[t]:h(e.params)?D(e.params):null}function x(e,t,r){var n=g(e,t);return(n?r?n.types.filter(w):n.types:[]).map(b)}function b(e){return e.name}function w(e){return null===e.conversion||void 0===e.conversion}function N(e,t){var r=function(e){for(var t={},r=0;r<e.length;r++)t[e[r]]=!0;return Object.keys(t)}(U(e,(function(e){return x(e,t,!1)})));return-1!==r.indexOf("any")?["any"]:r}function M(e,t,r){var n,i,a,o=e||"unnamed",s=r;for(a=0;a<t.length;a++){var u=s.filter((function(e){var r=v(g(e,a));return(a<e.params.length||h(e.params))&&r(t[a])}));if(0===u.length){if((i=N(s,a)).length>0){var c=l(t[a]);return(n=new TypeError("Unexpected type of argument in function "+o+" (expected: "+i.join(" or ")+", actual: "+c+", index: "+a+")")).data={category:"wrongType",fn:o,index:a,actual:c,expected:i},n}}else s=u}var f=s.map((function(e){return h(e.params)?1/0:e.params.length}));if(t.length<Math.min.apply(null,f))return i=N(s,a),(n=new TypeError("Too few arguments in function "+o+" (expected: "+i.join(" or ")+", index: "+t.length+")")).data={category:"tooFewArgs",fn:o,index:t.length,expected:i},n;var p=Math.max.apply(null,f);return t.length>p?((n=new TypeError("Too many arguments in function "+o+" (expected: "+p+", actual: "+t.length+")")).data={category:"tooManyArgs",fn:o,index:t.length,expectedLength:p},n):((n=new TypeError('Arguments of type "'+t.join(", ")+'" do not match any of the defined signatures of function '+o+".")).data={category:"mismatch",actual:t.map(l)},n)}function E(e){for(var t=999,r=0;r<e.types.length;r++)w(e.types[r])&&(t=Math.min(t,e.types[r].typeIndex));return t}function S(e){for(var t=999,r=0;r<e.types.length;r++)w(e.types[r])||(t=Math.min(t,e.types[r].conversionIndex));return t}function A(e,t){var r;return 0!=(r=e.restParam-t.restParam)||0!=(r=d(e)-d(t))||0!=(r=E(e)-E(t))?r:S(e)-S(t)}function O(e,t){var r,n,i=Math.min(e.params.length,t.params.length);if(0!=(n=e.params.some(d)-t.params.some(d)))return n;for(r=0;r<i;r++)if(0!=(n=d(e.params[r])-d(t.params[r])))return n;for(r=0;r<i;r++)if(0!==(n=A(e.params[r],t.params[r])))return n;return e.params.length-t.params.length}function C(e){var t,r,n,i,a=[],o=[];switch(e.types.forEach((function(e){e.conversion&&(a.push(c(e.conversion.from).test),o.push(e.conversion.convert))})),o.length){case 0:return function(e){return e};case 1:return t=a[0],n=o[0],function(e){return t(e)?n(e):e};case 2:return t=a[0],r=a[1],n=o[0],i=o[1],function(e){return t(e)?n(e):r(e)?i(e):e};default:return function(e){for(var t=0;t<o.length;t++)if(a[t](e))return o[t](e);return e}}}function T(e,t){return function e(r,n,i){if(n<r.length){var a,o=r[n],s=t?o.types.filter(w):o.types;if(o.restParam){var u=s.filter(w);a=u.length<s.length?[u,s]:[s]}else a=s.map((function(e){return[e]}));return U(a,(function(t){return e(r,n+1,i.concat([t]))}))}return[i.map((function(e,t){return{types:e,restParam:t===r.length-1&&h(r)}}))]}(e,0,[])}function _(e,n){if(0===Object.keys(n).length)throw new SyntaxError("No signatures provided");var i=[];Object.keys(n).map((function(e){return function(e,t,r){var n=[];return""!==e.trim()&&(n=e.split(",").map(z).map((function(e,t,n){var i=m(e,r);if(i.restParam&&t!==n.length-1)throw new SyntaxError('Unexpected rest parameter "'+e+'": only allowed for the last parameter');return i}))),n.some(B)?null:{params:n,fn:t}}(e,n[e],u.conversions)})).filter(q).forEach((function(e){var t=F(i,(function(t){return function(e,t){for(var r=Math.max(e.params.length,t.params.length),n=0;n<r;n++)if(!P(x(e,n,!0),x(t,n,!0)))return!1;var i=e.params.length,a=t.params.length,o=h(e.params),s=h(t.params);return o?s?i===a:a>=i:s?i>=a:i===a}(t,e)}));if(t)throw new TypeError('Conflicting signatures "'+p(t.params)+'" and "'+p(e.params)+'".');i.push(e)}));var a=U(i,(function(e){return(e?T(e.params,!1):[]).map((function(t){return{params:t,fn:e.fn}}))})).filter(q);a.sort(O);var o=a[0]&&a[0].params.length<=2&&!h(a[0].params),s=a[1]&&a[1].params.length<=2&&!h(a[1].params),c=a[2]&&a[2].params.length<=2&&!h(a[2].params),f=a[3]&&a[3].params.length<=2&&!h(a[3].params),l=a[4]&&a[4].params.length<=2&&!h(a[4].params),g=a[5]&&a[5].params.length<=2&&!h(a[5].params),b=o&&s&&c&&f&&l&&g,w=a.map((function(e){return y(e.params)})),N=o?v(a[0].params[0]):t,M=s?v(a[1].params[0]):t,E=c?v(a[2].params[0]):t,S=f?v(a[3].params[0]):t,A=l?v(a[4].params[0]):t,_=g?v(a[5].params[0]):t,I=o?v(a[0].params[1]):t,k=s?v(a[1].params[1]):t,R=c?v(a[2].params[1]):t,D=f?v(a[3].params[1]):t,L=l?v(a[4].params[1]):t,$=g?v(a[5].params[1]):t,H=a.map((function(e){return function(e,t){var r=t;if(e.some(d)){var n=h(e),i=e.map(C);r=function(){for(var e=[],r=n?arguments.length-1:arguments.length,a=0;a<r;a++)e[a]=i[a](arguments[a]);return n&&(e[r]=arguments[r].map(i[r])),t.apply(this,e)}}var a=r;if(h(e)){var o=e.length-1;a=function(){return r.apply(this,j(arguments,0,o).concat([j(arguments,o)]))}}return a}(e.params,e.fn)})),G=o?H[0]:r,V=s?H[1]:r,Z=c?H[2]:r,W=f?H[3]:r,Y=l?H[4]:r,J=g?H[5]:r,X=o?a[0].params.length:-1,Q=s?a[1].params.length:-1,K=c?a[2].params.length:-1,ee=f?a[3].params.length:-1,te=l?a[4].params.length:-1,re=g?a[5].params.length:-1,ne=b?6:0,ie=a.length,ae=function(){for(var t=ne;t<ie;t++)if(w[t](arguments))return H[t].apply(this,arguments);return u.onMismatch(e,arguments,a)},oe=function e(t,r){return arguments.length===X&&N(t)&&I(r)?G.apply(e,arguments):arguments.length===Q&&M(t)&&k(r)?V.apply(e,arguments):arguments.length===K&&E(t)&&R(r)?Z.apply(e,arguments):arguments.length===ee&&S(t)&&D(r)?W.apply(e,arguments):arguments.length===te&&A(t)&&L(r)?Y.apply(e,arguments):arguments.length===re&&_(t)&&$(r)?J.apply(e,arguments):ae.apply(e,arguments)};try{Object.defineProperty(oe,"name",{value:e})}catch(e){}return oe.signatures=function(e){var t={};return e.forEach((function(e){e.params.some(d)||T(e.params,!0).forEach((function(r){t[p(r)]=e.fn}))})),t}(a),oe}function I(e,t,r){throw M(e,t,r)}function k(e){return-1===u.ignore.indexOf(e)}function z(e){return e.trim()}function R(e){return!!e}function q(e){return null!==e}function B(e){return 0===e.types.length}function D(e){return e[e.length-1]}function j(e,t,r){return Array.prototype.slice.call(e,t,r)}function P(e,t){for(var r=0;r<e.length;r++)if(n=t,i=e[r],-1!==n.indexOf(i))return!0;var n,i;return!1}function F(e,t){for(var r=0;r<e.length;r++)if(t(e[r]))return e[r]}function U(e,t){return Array.prototype.concat.apply([],e.map(t))}function L(e){for(var t="",r=0;r<e.length;r++){var n=e[r];if(("object"==typeof n.signatures||"string"==typeof n.signature)&&""!==n.name)if(""===t)t=n.name;else if(t!==n.name){var i=new Error("Function names do not match (expected: "+t+", actual: "+n.name+")");throw i.data={actual:n.name,expected:t},i}}return t}function $(e){var t,r={};function n(e,n){if(r.hasOwnProperty(e)&&n!==r[e])throw(t=new Error('Signature "'+e+'" is defined twice')).data={signature:e},t}for(var i=0;i<e.length;i++){var a=e[i];if("object"==typeof a.signatures)for(var o in a.signatures)a.signatures.hasOwnProperty(o)&&(n(o,a.signatures[o]),r[o]=a.signatures[o]);else{if("string"!=typeof a.signature)throw(t=new TypeError("Function is no typed-function (index: "+i+")")).data={index:i},t;n(a.signature,a),r[a.signature]=a}}return r}return(u=_("typed",{"string, Object":_,Object:function(e){var t=[];for(var r in e)e.hasOwnProperty(r)&&t.push(e[r]);return _(L(t),e)},"...Function":function(e){return _(L(e),$(e))},"string, ...Function":function(e,t){return _(e,$(t))}})).create=n,u.types=i,u.conversions=s,u.ignore=o,u.onMismatch=I,u.throwMismatchError=I,u.createError=M,u.convert=function(e,t){var r=l(e);if(t===r)return e;for(var n=0;n<u.conversions.length;n++){var i=u.conversions[n];if(i.from===r&&i.to===t)return i.convert(e)}throw new Error("Cannot convert from "+r+" to "+t)},u.find=function(e,t){if(!e.signatures)throw new TypeError("Function is no typed-function");var r;if("string"==typeof t){r=t.split(",");for(var n=0;n<r.length;n++)r[n]=r[n].trim()}else{if(!Array.isArray(t))throw new TypeError("String array or a comma separated string expected");r=t}var i=r.join(","),a=e.signatures[i];if(a)return a;throw new TypeError("Signature not found (signature: "+(e.name||"unnamed")+"("+r.join(", ")+"))")},u.addType=function(e,t){if(!e||"string"!=typeof e.name||"function"!=typeof e.test)throw new TypeError("Object with properties {name: string, test: function} expected");if(!1!==t)for(var r=0;r<u.types.length;r++)if("Object"===u.types[r].name)return void u.types.splice(r,0,e);u.types.push(e)},u.addConversion=function(e){if(!e||"string"!=typeof e.from||"string"!=typeof e.to||"function"!=typeof e.convert)throw new TypeError("Object with properties {from: string, to: string, convert: function} expected");u.conversions.push(e)},u}()})?n.apply(t,i):n)||(e.exports=a)},function(e,t,r){var n=r(265),i=r(266),a=r(267),o=r(268),s=r(269),u=r(270),c=r(271);c.alea=n,c.xor128=i,c.xorwow=a,c.xorshift7=o,c.xor4096=s,c.tychei=u,e.exports=c},function(e,t,r){"use strict";var n={}.propertyIsEnumerable,i=Object.getOwnPropertyDescriptor,a=i&&!n.call({1:2},1);t.f=a?function(e){var t=i(this,e);return!!t&&t.enumerable}:n},function(e,t,r){var n=r(1),i=r(17),a=r(25),o=r(78),s=r(67),u=r(197),c=r(15),f=n.TypeError,l=c("toPrimitive");e.exports=function(e,t){if(!a(e)||o(e))return e;var r,n=s(e,l);if(n){if(void 0===t&&(t="default"),r=i(n,e,t),!a(r)||o(r))return r;throw f("Can't convert object to primitive value")}return void 0===t&&(t="number"),u(e,t)}},function(e,t,r){var n=r(66);e.exports=n&&!Symbol.sham&&"symbol"==typeof Symbol.iterator},function(e,t,r){var n=r(21),i=r(7),a=r(97);e.exports=!n&&!i((function(){return 7!=Object.defineProperty(a("div"),"a",{get:function(){return 7}}).a}))},function(e,t,r){var n=r(21),i=r(7);e.exports=n&&i((function(){return 42!=Object.defineProperty((function(){}),"prototype",{value:42,writable:!1}).prototype}))},function(e,t,r){var n=r(7),i=r(12),a=r(22),o=r(23).f,s=r(81).CONFIGURABLE,u=r(98),c=r(46),f=c.enforce,l=c.get,p=!n((function(){return 8!==o((function(){}),"length",{value:8}).length})),m=String(String).split("String"),h=e.exports=function(e,t,r){"Symbol("===String(t).slice(0,7)&&(t="["+String(t).replace(/^Symbol\(([^)]*)\)/,"$1")+"]"),r&&r.getter&&(t="get "+t),r&&r.setter&&(t="set "+t),(!a(e,"name")||s&&e.name!==t)&&o(e,"name",{value:t,configurable:!0}),p&&r&&a(r,"arity")&&e.length!==r.arity&&o(e,"length",{value:r.arity});var n=f(e);return a(n,"source")||(n.source=m.join("string"==typeof t?t:"")),e};Function.prototype.toString=h((function(){return i(this)&&l(this).source||u(this)}),"toString")},function(e,t,r){var n=r(22),i=r(145),a=r(59),o=r(23);e.exports=function(e,t,r){for(var s=i(t),u=o.f,c=a.f,f=0;f<s.length;f++){var l=s[f];n(e,l)||r&&n(r,l)||u(e,l,c(t,l))}}},function(e,t,r){var n=r(40),i=r(9),a=r(69),o=r(113),s=r(24),u=i([].concat);e.exports=n("Reflect","ownKeys")||function(e){var t=a.f(s(e)),r=o.f;return r?u(t,r(e)):t}},function(e,t,r){var n=r(9),i=r(22),a=r(39),o=r(199).indexOf,s=r(82),u=n([].push);e.exports=function(e,t){var r,n=a(e),c=0,f=[];for(r in n)!i(s,r)&&i(n,r)&&u(f,r);for(;t.length>c;)i(n,r=t[c++])&&(~o(f,r)||u(f,r));return f}},function(e,t){e.exports={CSSRuleList:0,CSSStyleDeclaration:0,CSSValueList:0,ClientRectList:0,DOMRectList:0,DOMStringList:0,DOMTokenList:1,DataTransferItemList:0,FileList:0,HTMLAllCollection:0,HTMLCollection:0,HTMLFormElement:0,HTMLSelectElement:0,MediaList:0,MimeTypeArray:0,NamedNodeMap:0,NodeList:1,PaintRequestList:0,Plugin:0,PluginArray:0,SVGLengthList:0,SVGNumberList:0,SVGPathSegList:0,SVGPointList:0,SVGStringList:0,SVGTransformList:0,SourceBufferList:0,StyleSheetList:0,TextTrackCueList:0,TextTrackList:0,TouchList:0}},function(e,t,r){var n=r(97)("span").classList,i=n&&n.constructor&&n.constructor.prototype;e.exports=i===Object.prototype?void 0:i},function(e,t,r){var n=r(3),i=r(7),a=r(37),o=r(118),s=r(150);n({target:"Object",stat:!0,forced:i((function(){o(1)})),sham:!s},{getPrototypeOf:function(e){return o(a(e))}})},function(e,t,r){var n=r(7);e.exports=!n((function(){function e(){}return e.prototype.constructor=null,Object.getPrototypeOf(new e)!==e.prototype}))},function(e,t,r){var n=r(21),i=r(1),a=r(9),o=r(84),s=r(119),u=r(55),c=r(69).f,f=r(53),l=r(152),p=r(28),m=r(153),h=r(104),d=r(204),v=r(35),y=r(7),g=r(22),x=r(46).enforce,b=r(121),w=r(15),N=r(122),M=r(155),E=w("match"),S=i.RegExp,A=S.prototype,O=i.SyntaxError,C=a(A.exec),T=a("".charAt),_=a("".replace),I=a("".indexOf),k=a("".slice),z=/^\?<[^\s\d!#%&*+<=>@^][^\s!#%&*+<=>@^]*>/,R=/a/g,q=/a/g,B=new S(R)!==R,D=h.MISSED_STICKY,j=h.UNSUPPORTED_Y,P=n&&(!B||D||N||M||y((function(){return q[E]=!1,S(R)!=R||S(q)==q||"/a/i"!=S(R,"i")})));if(o("RegExp",P)){for(var F=function(e,t){var r,n,i,a,o,c,h=f(A,this),d=l(e),v=void 0===t,y=[],b=e;if(!h&&d&&v&&e.constructor===F)return e;if((d||f(A,e))&&(e=e.source,v&&(t=m(b))),e=void 0===e?"":p(e),t=void 0===t?"":p(t),b=e,N&&"dotAll"in R&&(n=!!t&&I(t,"s")>-1)&&(t=_(t,/s/g,"")),r=t,D&&"sticky"in R&&(i=!!t&&I(t,"y")>-1)&&j&&(t=_(t,/y/g,"")),M&&(e=(a=function(e){for(var t,r=e.length,n=0,i="",a=[],o={},s=!1,u=!1,c=0,f="";n<=r;n++){if("\\"===(t=T(e,n)))t+=T(e,++n);else if("]"===t)s=!1;else if(!s)switch(!0){case"["===t:s=!0;break;case"("===t:C(z,k(e,n+1))&&(n+=2,u=!0),i+=t,c++;continue;case">"===t&&u:if(""===f||g(o,f))throw new O("Invalid capture group name");o[f]=!0,a[a.length]=[f,c],u=!1,f="";continue}u?f+=t:i+=t}return[i,a]}(e))[0],y=a[1]),o=s(S(e,t),h?this:A,F),(n||i||y.length)&&(c=x(o),n&&(c.dotAll=!0,c.raw=F(function(e){for(var t,r=e.length,n=0,i="",a=!1;n<=r;n++)"\\"!==(t=T(e,n))?a||"."!==t?("["===t?a=!0:"]"===t&&(a=!1),i+=t):i+="[\\s\\S]":i+=t+T(e,++n);return i}(e),r)),i&&(c.sticky=!0),y.length&&(c.groups=y)),e!==b)try{u(o,"source",""===b?"(?:)":b)}catch(e){}return o},U=c(S),L=0;U.length>L;)d(F,S,U[L++]);A.constructor=F,F.prototype=A,v(i,"RegExp",F)}b("RegExp")},function(e,t,r){var n=r(25),i=r(45),a=r(15)("match");e.exports=function(e){var t;return n(e)&&(void 0!==(t=e[a])?!!t:"RegExp"==i(e))}},function(e,t,r){var n=r(17),i=r(22),a=r(53),o=r(154),s=RegExp.prototype;e.exports=function(e){var t=e.flags;return void 0!==t||"flags"in s||i(e,"flags")||!a(s,e)?t:n(o,e)}},function(e,t,r){"use strict";var n=r(24);e.exports=function(){var e=n(this),t="";return e.hasIndices&&(t+="d"),e.global&&(t+="g"),e.ignoreCase&&(t+="i"),e.multiline&&(t+="m"),e.dotAll&&(t+="s"),e.unicode&&(t+="u"),e.sticky&&(t+="y"),t}},function(e,t,r){var n=r(7),i=r(1).RegExp;e.exports=n((function(){var e=i("(?<a>b)","g");return"b"!==e.exec("b").groups.a||"bc"!=="b".replace(e,"$<a>c")}))},function(e,t,r){var n=r(1),i=r(21),a=r(122),o=r(45),s=r(157),u=r(46).get,c=RegExp.prototype,f=n.TypeError;i&&a&&s(c,"dotAll",{configurable:!0,get:function(){if(this!==c){if("RegExp"===o(this))return!!u(this).dotAll;throw f("Incompatible receiver, RegExp required")}}})},function(e,t,r){var n=r(143),i=r(23);e.exports=function(e,t,r){return r.get&&n(r.get,t,{getter:!0}),r.set&&n(r.set,t,{setter:!0}),i.f(e,t,r)}},function(e,t,r){var n=r(21),i=r(142),a=r(23),o=r(24),s=r(39),u=r(114);t.f=n&&!i?Object.defineProperties:function(e,t){o(e);for(var r,n=s(t),i=u(t),c=i.length,f=0;c>f;)a.f(e,r=i[f++],n[r]);return e}},function(e,t,r){var n=r(40);e.exports=n("document","documentElement")},function(e,t,r){var n=r(1),i=r(21),a=r(104).MISSED_STICKY,o=r(45),s=r(157),u=r(46).get,c=RegExp.prototype,f=n.TypeError;i&&a&&s(c,"sticky",{configurable:!0,get:function(){if(this!==c){if("RegExp"===o(this))return!!u(this).sticky;throw f("Incompatible receiver, RegExp required")}}})},function(e,t,r){var n=r(24),i=r(205),a=r(15)("species");e.exports=function(e,t){var r,o=n(e).constructor;return void 0===o||null==(r=n(o)[a])?t:i(r)}},function(e,t,r){var n=r(9),i=r(61),a=r(28),o=r(49),s=n("".charAt),u=n("".charCodeAt),c=n("".slice),f=function(e){return function(t,r){var n,f,l=a(o(t)),p=i(r),m=l.length;return p<0||p>=m?e?"":void 0:(n=u(l,p))<55296||n>56319||p+1===m||(f=u(l,p+1))<56320||f>57343?e?s(l,p):n:e?c(l,p,p+2):f-56320+(n-55296<<10)+65536}};e.exports={codeAt:f(!1),charAt:f(!0)}},function(e,t){e.exports=Math.sign||function(e){return 0==(e=+e)||e!=e?e:e<0?-1:1}},function(e,t,r){var n=r(3),i=Math.log,a=Math.LN2;n({target:"Math",stat:!0},{log2:function(e){return i(e)/a}})},function(e,t){var r=Math.log;e.exports=Math.log1p||function(e){return(e=+e)>-1e-8&&e<1e-8?e-e*e/2:r(1+e)}},function(e,t,r){var n=r(9);e.exports=n(1..valueOf)},function(e,t,r){var n=r(9),i=r(49),a=r(28),o=r(168),s=n("".replace),u="["+o+"]",c=RegExp("^"+u+u+"*"),f=RegExp(u+u+"*$"),l=function(e){return function(t){var r=a(i(t));return 1&e&&(r=s(r,c,"")),2&e&&(r=s(r,f,"")),r}};e.exports={start:l(1),end:l(2),trim:l(3)}},function(e,t){e.exports="\t\n\v\f\r \u2028\u2029\ufeff"},function(e,t,r){"use strict";var n=r(3),i=r(1),a=r(9),o=r(61),s=r(166),u=r(170),c=r(7),f=i.RangeError,l=i.String,p=Math.floor,m=a(u),h=a("".slice),d=a(1..toFixed),v=function(e,t,r){return 0===t?r:t%2==1?v(e,t-1,r*e):v(e*e,t/2,r)},y=function(e,t,r){for(var n=-1,i=r;++n<6;)i+=t*e[n],e[n]=i%1e7,i=p(i/1e7)},g=function(e,t){for(var r=6,n=0;--r>=0;)n+=e[r],e[r]=p(n/t),n=n%t*1e7},x=function(e){for(var t=6,r="";--t>=0;)if(""!==r||0===t||0!==e[t]){var n=l(e[t]);r=""===r?n:r+m("0",7-n.length)+n}return r};n({target:"Number",proto:!0,forced:c((function(){return"0.000"!==d(8e-5,3)||"1"!==d(.9,0)||"1.25"!==d(1.255,2)||"1000000000000000128"!==d(0xde0b6b3a7640080,0)}))||!c((function(){d({})}))},{toFixed:function(e){var t,r,n,i,a=s(this),u=o(e),c=[0,0,0,0,0,0],p="",d="0";if(u<0||u>20)throw f("Incorrect fraction digits");if(a!=a)return"NaN";if(a<=-1e21||a>=1e21)return l(a);if(a<0&&(p="-",a=-a),a>1e-21)if(r=(t=function(e){for(var t=0,r=e;r>=4096;)t+=12,r/=4096;for(;r>=2;)t+=1,r/=2;return t}(a*v(2,69,1))-69)<0?a*v(2,-t,1):a/v(2,t,1),r*=4503599627370496,(t=52-t)>0){for(y(c,0,r),n=u;n>=7;)y(c,1e7,0),n-=7;for(y(c,v(10,n,1),0),n=t-1;n>=23;)g(c,1<<23),n-=23;g(c,1<<n),y(c,1,1),g(c,2),d=x(c)}else y(c,0,r),y(c,1<<-t,0),d=x(c)+m("0",u);return d=u>0?p+((i=d.length)<=u?"0."+m("0",u-i)+d:h(d,0,i-u)+"."+h(d,i-u)):p+d}})},function(e,t,r){"use strict";var n=r(1),i=r(61),a=r(28),o=r(49),s=n.RangeError;e.exports=function(e){var t=a(o(this)),r="",n=i(e);if(n<0||n==1/0)throw s("Wrong number of repetitions");for(;n>0;(n>>>=1)&&(t+=t))1&n&&(r+=t);return r}},function(e,t,r){"use strict";var n,i,a,o=r(7),s=r(12),u=r(71),c=r(118),f=r(35),l=r(15),p=r(50),m=l("iterator"),h=!1;[].keys&&("next"in(a=[].keys())?(i=c(c(a)))!==Object.prototype&&(n=i):h=!0),null==n||o((function(){var e={};return n[m].call(e)!==e}))?n={}:p&&(n=u(n)),s(n[m])||f(n,m,(function(){return this})),e.exports={IteratorPrototype:n,BUGGY_SAFARI_ITERATORS:h}},function(e,t,r){r(227)},function(e,t,r){"use strict";var n=r(3),i=r(1),a=r(9),o=r(84),s=r(35),u=r(174),c=r(108),f=r(131),l=r(12),p=r(25),m=r(7),h=r(132),d=r(90),v=r(119);e.exports=function(e,t,r){var y=-1!==e.indexOf("Map"),g=-1!==e.indexOf("Weak"),x=y?"set":"add",b=i[e],w=b&&b.prototype,N=b,M={},E=function(e){var t=a(w[e]);s(w,e,"add"==e?function(e){return t(this,0===e?0:e),this}:"delete"==e?function(e){return!(g&&!p(e))&&t(this,0===e?0:e)}:"get"==e?function(e){return g&&!p(e)?void 0:t(this,0===e?0:e)}:"has"==e?function(e){return!(g&&!p(e))&&t(this,0===e?0:e)}:function(e,r){return t(this,0===e?0:e,r),this})};if(o(e,!l(b)||!(g||w.forEach&&!m((function(){(new b).entries().next()})))))N=r.getConstructor(t,e,y,x),u.enable();else if(o(e,!0)){var S=new N,A=S[x](g?{}:-0,1)!=S,O=m((function(){S.has(1)})),C=h((function(e){new b(e)})),T=!g&&m((function(){for(var e=new b,t=5;t--;)e[x](t,t);return!e.has(-0)}));C||((N=t((function(e,t){f(e,w);var r=v(new b,e,N);return null!=t&&c(t,r[x],{that:r,AS_ENTRIES:y}),r}))).prototype=w,w.constructor=N),(O||T)&&(E("delete"),E("has"),y&&E("get")),(T||A)&&E(x),g&&w.clear&&delete w.clear}return M[e]=N,n({global:!0,forced:N!=b},M),d(N,e),g||r.setStrong(N,e,y),N}},function(e,t,r){var n=r(3),i=r(9),a=r(82),o=r(25),s=r(22),u=r(23).f,c=r(69),f=r(175),l=r(228),p=r(96),m=r(230),h=!1,d=p("meta"),v=0,y=function(e){u(e,d,{value:{objectID:"O"+v++,weakData:{}}})},g=e.exports={enable:function(){g.enable=function(){},h=!0;var e=c.f,t=i([].splice),r={};r[d]=1,e(r).length&&(c.f=function(r){for(var n=e(r),i=0,a=n.length;i<a;i++)if(n[i]===d){t(n,i,1);break}return n},n({target:"Object",stat:!0,forced:!0},{getOwnPropertyNames:f.f}))},fastKey:function(e,t){if(!o(e))return"symbol"==typeof e?e:("string"==typeof e?"S":"P")+e;if(!s(e,d)){if(!l(e))return"F";if(!t)return"E";y(e)}return e[d].objectID},getWeakData:function(e,t){if(!s(e,d)){if(!l(e))return!0;if(!t)return!1;y(e)}return e[d].weakData},onFreeze:function(e){return m&&h&&l(e)&&!s(e,d)&&y(e),e}};a[d]=!0},function(e,t,r){var n=r(45),i=r(39),a=r(69).f,o=r(126),s="object"==typeof window&&window&&Object.getOwnPropertyNames?Object.getOwnPropertyNames(window):[];e.exports.f=function(e){return s&&"Window"==n(e)?function(e){try{return a(e)}catch(e){return o(s)}}(e):a(i(e))}},function(e,t,r){var n=r(15),i=r(89),a=n("iterator"),o=Array.prototype;e.exports=function(e){return void 0!==e&&(i.Array===e||o[a]===e)}},function(e,t,r){var n=r(1),i=r(17),a=r(54),o=r(24),s=r(80),u=r(130),c=n.TypeError;e.exports=function(e,t){var r=arguments.length<2?u(e):t;if(a(r))return o(i(r,e));throw c(s(e)+" is not iterable")}},function(e,t,r){var n=r(17),i=r(24),a=r(67);e.exports=function(e,t,r){var o,s;i(e);try{if(!(o=a(e,"return"))){if("throw"===t)throw r;return r}o=n(o,e)}catch(e){s=!0,o=e}if("throw"===t)throw r;if(s)throw o;return i(o),r}},function(e,t,r){"use strict";var n=r(23).f,i=r(71),a=r(231),o=r(70),s=r(131),u=r(108),c=r(129),f=r(121),l=r(21),p=r(174).fastKey,m=r(46),h=m.set,d=m.getterFor;e.exports={getConstructor:function(e,t,r,c){var f=e((function(e,n){s(e,m),h(e,{type:t,index:i(null),first:void 0,last:void 0,size:0}),l||(e.size=0),null!=n&&u(n,e[c],{that:e,AS_ENTRIES:r})})),m=f.prototype,v=d(t),y=function(e,t,r){var n,i,a=v(e),o=g(e,t);return o?o.value=r:(a.last=o={index:i=p(t,!0),key:t,value:r,previous:n=a.last,next:void 0,removed:!1},a.first||(a.first=o),n&&(n.next=o),l?a.size++:e.size++,"F"!==i&&(a.index[i]=o)),e},g=function(e,t){var r,n=v(e),i=p(t);if("F"!==i)return n.index[i];for(r=n.first;r;r=r.next)if(r.key==t)return r};return a(m,{clear:function(){for(var e=v(this),t=e.index,r=e.first;r;)r.removed=!0,r.previous&&(r.previous=r.previous.next=void 0),delete t[r.index],r=r.next;e.first=e.last=void 0,l?e.size=0:this.size=0},delete:function(e){var t=v(this),r=g(this,e);if(r){var n=r.next,i=r.previous;delete t.index[r.index],r.removed=!0,i&&(i.next=n),n&&(n.previous=i),t.first==r&&(t.first=n),t.last==r&&(t.last=i),l?t.size--:this.size--}return!!r},forEach:function(e){for(var t,r=v(this),n=o(e,arguments.length>1?arguments[1]:void 0);t=t?t.next:r.first;)for(n(t.value,t.key,this);t&&t.removed;)t=t.previous},has:function(e){return!!g(this,e)}}),a(m,r?{get:function(e){var t=g(this,e);return t&&t.value},set:function(e,t){return y(this,0===e?0:e,t)}}:{add:function(e){return y(this,e=0===e?0:e,e)}}),l&&n(m,"size",{get:function(){return v(this).size}}),f},setStrong:function(e,t,r){var n=t+" Iterator",i=d(t),a=d(n);c(e,t,(function(e,t){h(this,{type:n,target:e,state:i(e),kind:t,last:void 0})}),(function(){for(var e=a(this),t=e.kind,r=e.last;r&&r.removed;)r=r.previous;return e.target&&(e.last=r=r?r.next:e.state.first)?"keys"==t?{value:r.key,done:!1}:"values"==t?{value:r.value,done:!1}:{value:[r.key,r.value],done:!1}:(e.target=void 0,{value:void 0,done:!0})}),r?"entries":"values",!r,!0),f(t)}}},function(e,t,r){var n=r(15);t.f=n},function(e,t,r){var n=r(235),i=r(22),a=r(180),o=r(23).f;e.exports=function(e){var t=n.Symbol||(n.Symbol={});i(t,e)||o(t,e,{value:a.f(e)})}},function(e,t,r){var n=r(66);e.exports=n&&!!Symbol.for&&!!Symbol.keyFor},function(e,t,r){var n,i,a,o,s=r(1),u=r(106),c=r(70),f=r(12),l=r(22),p=r(7),m=r(159),h=r(123),d=r(97),v=r(241),y=r(184),g=r(133),x=s.setImmediate,b=s.clearImmediate,w=s.process,N=s.Dispatch,M=s.Function,E=s.MessageChannel,S=s.String,A=0,O={};try{n=s.location}catch(e){}var C=function(e){if(l(O,e)){var t=O[e];delete O[e],t()}},T=function(e){return function(){C(e)}},_=function(e){C(e.data)},I=function(e){s.postMessage(S(e),n.protocol+"//"+n.host)};x&&b||(x=function(e){v(arguments.length,1);var t=f(e)?e:M(e),r=h(arguments,1);return O[++A]=function(){u(t,void 0,r)},i(A),A},b=function(e){delete O[e]},g?i=function(e){w.nextTick(T(e))}:N&&N.now?i=function(e){N.now(T(e))}:E&&!y?(o=(a=new E).port2,a.port1.onmessage=_,i=c(o.postMessage,o)):s.addEventListener&&f(s.postMessage)&&!s.importScripts&&n&&"file:"!==n.protocol&&!p(I)?(i=I,s.addEventListener("message",_,!1)):i="onreadystatechange"in d("script")?function(e){m.appendChild(d("script")).onreadystatechange=function(){m.removeChild(this),C(e)}}:function(e){setTimeout(T(e),0)}),e.exports={set:x,clear:b}},function(e,t,r){var n=r(60);e.exports=/(?:ipad|iphone|ipod).*applewebkit/i.test(n)},function(e,t,r){var n=r(91),i=r(132),a=r(92).CONSTRUCTOR;e.exports=a||!i((function(e){n.all(e).then(void 0,(function(){}))}))},function(e,t,r){r(3)({target:"Number",stat:!0},{isNaN:function(e){return e!=e}})},function(e,t,r){var n=r(188);e.exports=function(e,t){if(e){if("string"==typeof e)return n(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);return"Object"===r&&e.constructor&&(r=e.constructor.name),"Map"===r||"Set"===r?Array.from(e):"Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r)?n(e,t):void 0}},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t){e.exports=function(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t,r){var n=r(3),i=r(7),a=r(39),o=r(59).f,s=r(21),u=i((function(){o(1)}));n({target:"Object",stat:!0,forced:!s||u,sham:!s},{getOwnPropertyDescriptor:function(e,t){return o(a(e),t)}})},function(e,t,r){var n=r(3),i=r(21),a=r(145),o=r(39),s=r(59),u=r(72);n({target:"Object",stat:!0,sham:!i},{getOwnPropertyDescriptors:function(e){for(var t,r,n=o(e),i=s.f,c=a(n),f={},l=0;c.length>l;)void 0!==(r=i(n,t=c[l++]))&&u(f,t,r);return f}})},function(e,t,r){r(264)},function(e,t){function r(){}r.prototype={on:function(e,t,r){var n=this.e||(this.e={});return(n[e]||(n[e]=[])).push({fn:t,ctx:r}),this},once:function(e,t,r){var n=this;function i(){n.off(e,i),t.apply(r,arguments)}return i._=t,this.on(e,i,r)},emit:function(e){for(var t=[].slice.call(arguments,1),r=((this.e||(this.e={}))[e]||[]).slice(),n=0,i=r.length;n<i;n++)r[n].fn.apply(r[n].ctx,t);return this},off:function(e,t){var r=this.e||(this.e={}),n=r[e],i=[];if(n&&t)for(var a=0,o=n.length;a<o;a++)n[a].fn!==t&&n[a].fn._!==t&&i.push(n[a]);return i.length?r[e]=i:delete r[e],this}},e.exports=r,e.exports.TinyEmitter=r},function(e,t){e.exports=function(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t){function r(e,t){for(var r=0;r<t.length;r++){var n=t[r];n.enumerable=n.enumerable||!1,n.configurable=!0,"value"in n&&(n.writable=!0),Object.defineProperty(e,n.key,n)}}e.exports=function(e,t,n){return t&&r(e.prototype,t),n&&r(e,n),Object.defineProperty(e,"prototype",{writable:!1}),e},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t,r){"use strict";var n=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var r=arguments[t];for(var n in r)Object.prototype.hasOwnProperty.call(r,n)&&(e[n]=r[n])}return e},i={"{":"\\{","}":"\\}","\\":"\\textbackslash{}","#":"\\#",$:"\\$","%":"\\%","&":"\\&","^":"\\textasciicircum{}",_:"\\_","~":"\\textasciitilde{}"},a={"–":"\\--","—":"\\---"," ":"~","\t":"\\qquad{}","\r\n":"\\newline{}","\n":"\\newline{}"},o=function(e,t){return n({},e,t)};e.exports=function(e){for(var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{},r=t.preserveFormatting,s=void 0!==r&&r,u=t.escapeMapFn,c=void 0===u?o:u,f=String(e),l="",p=c(n({},i),s?n({},a):{}),m=Object.keys(p),h=function(){var e=!1;m.forEach((function(t,r){e||f.length>=t.length&&f.slice(0,t.length)===t&&(l+=p[m[r]],f=f.slice(t.length,f.length),e=!0)})),e||(l+=f.slice(0,1),f=f.slice(1,f.length))};f;)h();return l}},function(e,t){var r;r=function(){return this}();try{r=r||new Function("return this")()}catch(e){"object"==typeof window&&(r=window)}e.exports=r},function(e,t,r){var n=r(1),i=r(17),a=r(12),o=r(25),s=n.TypeError;e.exports=function(e,t){var r,n;if("string"===t&&a(r=e.toString)&&!o(n=i(r,e)))return n;if(a(r=e.valueOf)&&!o(n=i(r,e)))return n;if("string"!==t&&a(r=e.toString)&&!o(n=i(r,e)))return n;throw s("Can't convert object to primitive value")}},function(e,t,r){var n=r(1),i=r(12),a=r(98),o=n.WeakMap;e.exports=i(o)&&/native code/.test(a(o))},function(e,t,r){var n=r(39),i=r(83),a=r(47),o=function(e){return function(t,r,o){var s,u=n(t),c=a(u),f=i(o,c);if(e&&r!=r){for(;c>f;)if((s=u[f++])!=s)return!0}else for(;c>f;f++)if((e||f in u)&&u[f]===r)return e||f||0;return!e&&-1}};e.exports={includes:o(!0),indexOf:o(!1)}},function(e,t,r){"use strict";var n=r(115),i=r(101);e.exports=n?{}.toString:function(){return"[object "+i(this)+"]"}},function(e,t,r){"use strict";var n=r(85).forEach,i=r(117)("forEach");e.exports=i?[].forEach:function(e){return n(this,e,arguments.length>1?arguments[1]:void 0)}},function(e,t,r){var n=r(1),i=r(102),a=r(103),o=r(25),s=r(15)("species"),u=n.Array;e.exports=function(e){var t;return i(e)&&(t=e.constructor,(a(t)&&(t===u||i(t.prototype))||o(t)&&null===(t=t[s]))&&(t=void 0)),void 0===t?u:t}},function(e,t,r){var n=r(1),i=r(12),a=n.String,o=n.TypeError;e.exports=function(e){if("object"==typeof e||i(e))return e;throw o("Can't set "+a(e)+" as a prototype")}},function(e,t,r){var n=r(23).f;e.exports=function(e,t,r){r in e||n(e,r,{configurable:!0,get:function(){return t[r]},set:function(e){t[r]=e}})}},function(e,t,r){var n=r(1),i=r(103),a=r(80),o=n.TypeError;e.exports=function(e){if(i(e))return e;throw o(a(e)+" is not a constructor")}},function(e,t,r){var n=r(126),i=Math.floor,a=function(e,t){var r=e.length,u=i(r/2);return r<8?o(e,t):s(e,a(n(e,0,u),t),a(n(e,u),t),t)},o=function(e,t){for(var r,n,i=e.length,a=1;a<i;){for(n=a,r=e[a];n&&t(e[n-1],r)>0;)e[n]=e[--n];n!==a++&&(e[n]=r)}return e},s=function(e,t,r,n){for(var i=t.length,a=r.length,o=0,s=0;o<i||s<a;)e[o+s]=o<i&&s<a?n(t[o],r[s])<=0?t[o++]:r[s++]:o<i?t[o++]:r[s++];return e};e.exports=a},function(e,t,r){var n=r(60).match(/firefox\/(\d+)/i);e.exports=!!n&&+n[1]},function(e,t,r){var n=r(60);e.exports=/MSIE|Trident/.test(n)},function(e,t,r){var n=r(60).match(/AppleWebKit\/(\d+)\./);e.exports=!!n&&+n[1]},function(e,t,r){r(3)({target:"Math",stat:!0},{sign:r(163)})},function(e,t,r){r(3)({target:"Math",stat:!0},{log10:r(212)})},function(e,t){var r=Math.log,n=Math.LOG10E;e.exports=Math.log10||function(e){return r(e)*n}},function(e,t,r){r(3)({target:"Math",stat:!0},{log1p:r(165)})},function(e,t,r){var n=r(3),i=r(163),a=Math.abs,o=Math.pow;n({target:"Math",stat:!0},{cbrt:function(e){return i(e=+e)*o(a(e),1/3)}})},function(e,t,r){var n=r(3),i=r(107);n({target:"Math",stat:!0,forced:i!=Math.expm1},{expm1:i})},function(e,t,r){var n=r(9),i=r(37),a=Math.floor,o=n("".charAt),s=n("".replace),u=n("".slice),c=/\$([$&'`]|\d{1,2}|<[^>]*>)/g,f=/\$([$&'`]|\d{1,2})/g;e.exports=function(e,t,r,n,l,p){var m=r+e.length,h=n.length,d=f;return void 0!==l&&(l=i(l),d=c),s(p,d,(function(i,s){var c;switch(o(s,0)){case"$":return"$";case"&":return e;case"`":return u(t,0,r);case"'":return u(t,m);case"<":c=l[u(s,1,-1)];break;default:var f=+s;if(0===f)return i;if(f>h){var p=a(f/10);return 0===p?i:p<=h?void 0===n[p-1]?o(s,1):n[p-1]+o(s,1):i}c=n[f-1]}return void 0===c?"":c}))}},function(e,t,r){r(3)({target:"Number",stat:!0},{EPSILON:Math.pow(2,-52)})},function(e,t,r){var n=r(3),i=r(165),a=Math.acosh,o=Math.log,s=Math.sqrt,u=Math.LN2;n({target:"Math",stat:!0,forced:!a||710!=Math.floor(a(Number.MAX_VALUE))||a(1/0)!=1/0},{acosh:function(e){return(e=+e)<1?NaN:e>94906265.62425156?o(e)+u:i(e-1+s(e-1)*s(e+1))}})},function(e,t,r){var n=r(3),i=Math.asinh,a=Math.log,o=Math.sqrt;n({target:"Math",stat:!0,forced:!(i&&1/i(0)>0)},{asinh:function e(t){return isFinite(t=+t)&&0!=t?t<0?-e(-t):a(t+o(t*t+1)):t}})},function(e,t,r){var n=r(3),i=Math.atanh,a=Math.log;n({target:"Math",stat:!0,forced:!(i&&1/i(-0)<0)},{atanh:function(e){return 0==(e=+e)?e:a((1+e)/(1-e))/2}})},function(e,t,r){var n=r(3),i=r(107),a=Math.cosh,o=Math.abs,s=Math.E;n({target:"Math",stat:!0,forced:!a||a(710)===1/0},{cosh:function(e){var t=i(o(e)-1)+1;return(t+1/(t*s*s))*(s/2)}})},function(e,t,r){var n=r(3),i=r(7),a=r(107),o=Math.abs,s=Math.exp,u=Math.E;n({target:"Math",stat:!0,forced:i((function(){return-2e-17!=Math.sinh(-2e-17)}))},{sinh:function(e){return o(e=+e)<1?(a(e)-a(-e))/2:(s(e-1)-s(-e-1))*(u/2)}})},function(e,t,r){var n=r(3),i=r(107),a=Math.exp;n({target:"Math",stat:!0},{tanh:function(e){var t=i(e=+e),r=i(-e);return t==1/0?1:r==1/0?-1:(t-r)/(a(e)+a(-e))}})},function(e,t,r){var n=r(9),i=r(49),a=r(28),o=/"/g,s=n("".replace);e.exports=function(e,t,r,n){var u=a(i(e)),c="<"+t;return""!==r&&(c+=" "+r+'="'+s(a(n),o,""")+'"'),c+">"+u+"</"+t+">"}},function(e,t,r){var n=r(7);e.exports=function(e){return n((function(){var t=""[e]('"');return t!==t.toLowerCase()||t.split('"').length>3}))}},function(e,t,r){"use strict";var n=r(171).IteratorPrototype,i=r(71),a=r(77),o=r(90),s=r(89),u=function(){return this};e.exports=function(e,t,r,c){var f=t+" Iterator";return e.prototype=i(n,{next:a(+!c,r)}),o(e,f,!1,!0),s[f]=u,e}},function(e,t,r){"use strict";r(173)("Map",(function(e){return function(){return e(this,arguments.length?arguments[0]:void 0)}}),r(179))},function(e,t,r){var n=r(7),i=r(25),a=r(45),o=r(229),s=Object.isExtensible,u=n((function(){s(1)}));e.exports=u||o?function(e){return!!i(e)&&((!o||"ArrayBuffer"!=a(e))&&(!s||s(e)))}:s},function(e,t,r){var n=r(7);e.exports=n((function(){if("function"==typeof ArrayBuffer){var e=new ArrayBuffer(8);Object.isExtensible(e)&&Object.defineProperty(e,"a",{value:8})}}))},function(e,t,r){var n=r(7);e.exports=!n((function(){return Object.isExtensible(Object.preventExtensions({}))}))},function(e,t,r){var n=r(35);e.exports=function(e,t,r){for(var i in t)n(e,i,t[i],r);return e}},function(e,t,r){"use strict";var n=r(1),i=r(70),a=r(17),o=r(37),s=r(233),u=r(176),c=r(103),f=r(47),l=r(72),p=r(177),m=r(130),h=n.Array;e.exports=function(e){var t=o(e),r=c(this),n=arguments.length,d=n>1?arguments[1]:void 0,v=void 0!==d;v&&(d=i(d,n>2?arguments[2]:void 0));var y,g,x,b,w,N,M=m(t),E=0;if(!M||this==h&&u(M))for(y=f(t),g=r?new this(y):h(y);y>E;E++)N=v?d(t[E],E):t[E],l(g,E,N);else for(w=(b=p(t,M)).next,g=r?new this:[];!(x=a(w,b)).done;E++)N=v?s(b,d,[x.value,E],!0):x.value,l(g,E,N);return g.length=E,g}},function(e,t,r){var n=r(24),i=r(178);e.exports=function(e,t,r,a){try{return a?t(n(r)[0],r[1]):t(r)}catch(t){i(e,"throw",t)}}},function(e,t,r){"use strict";var n=r(3),i=r(1),a=r(17),o=r(9),s=r(50),u=r(21),c=r(66),f=r(7),l=r(22),p=r(53),m=r(24),h=r(39),d=r(95),v=r(28),y=r(77),g=r(71),x=r(114),b=r(69),w=r(175),N=r(113),M=r(59),E=r(23),S=r(158),A=r(138),O=r(35),C=r(68),T=r(99),_=r(82),I=r(96),k=r(15),z=r(180),R=r(181),q=r(236),B=r(90),D=r(46),j=r(85).forEach,P=T("hidden"),F=D.set,U=D.getterFor("Symbol"),L=Object.prototype,$=i.Symbol,H=$&&$.prototype,G=i.TypeError,V=i.QObject,Z=M.f,W=E.f,Y=w.f,J=A.f,X=o([].push),Q=C("symbols"),K=C("op-symbols"),ee=C("wks"),te=!V||!V.prototype||!V.prototype.findChild,re=u&&f((function(){return 7!=g(W({},"a",{get:function(){return W(this,"a",{value:7}).a}})).a}))?function(e,t,r){var n=Z(L,t);n&&delete L[t],W(e,t,r),n&&e!==L&&W(L,t,n)}:W,ne=function(e,t){var r=Q[e]=g(H);return F(r,{type:"Symbol",tag:e,description:t}),u||(r.description=t),r},ie=function(e,t,r){e===L&&ie(K,t,r),m(e);var n=d(t);return m(r),l(Q,n)?(r.enumerable?(l(e,P)&&e[P][n]&&(e[P][n]=!1),r=g(r,{enumerable:y(0,!1)})):(l(e,P)||W(e,P,y(1,{})),e[P][n]=!0),re(e,n,r)):W(e,n,r)},ae=function(e,t){m(e);var r=h(t),n=x(r).concat(ce(r));return j(n,(function(t){u&&!a(oe,r,t)||ie(e,t,r[t])})),e},oe=function(e){var t=d(e),r=a(J,this,t);return!(this===L&&l(Q,t)&&!l(K,t))&&(!(r||!l(this,t)||!l(Q,t)||l(this,P)&&this[P][t])||r)},se=function(e,t){var r=h(e),n=d(t);if(r!==L||!l(Q,n)||l(K,n)){var i=Z(r,n);return!i||!l(Q,n)||l(r,P)&&r[P][n]||(i.enumerable=!0),i}},ue=function(e){var t=Y(h(e)),r=[];return j(t,(function(e){l(Q,e)||l(_,e)||X(r,e)})),r},ce=function(e){var t=e===L,r=Y(t?K:h(e)),n=[];return j(r,(function(e){!l(Q,e)||t&&!l(L,e)||X(n,Q[e])})),n};c||(O(H=($=function(){if(p(H,this))throw G("Symbol is not a constructor");var e=arguments.length&&void 0!==arguments[0]?v(arguments[0]):void 0,t=I(e),r=function(e){this===L&&a(r,K,e),l(this,P)&&l(this[P],t)&&(this[P][t]=!1),re(this,t,y(1,e))};return u&&te&&re(L,t,{configurable:!0,set:r}),ne(t,e)}).prototype,"toString",(function(){return U(this).tag})),O($,"withoutSetter",(function(e){return ne(I(e),e)})),A.f=oe,E.f=ie,S.f=ae,M.f=se,b.f=w.f=ue,N.f=ce,z.f=function(e){return ne(k(e),e)},u&&(W(H,"description",{configurable:!0,get:function(){return U(this).description}}),s||O(L,"propertyIsEnumerable",oe,{unsafe:!0}))),n({global:!0,wrap:!0,forced:!c,sham:!c},{Symbol:$}),j(x(ee),(function(e){R(e)})),n({target:"Symbol",stat:!0,forced:!c},{useSetter:function(){te=!0},useSimple:function(){te=!1}}),n({target:"Object",stat:!0,forced:!c,sham:!u},{create:function(e,t){return void 0===t?g(e):ae(g(e),t)},defineProperty:ie,defineProperties:ae,getOwnPropertyDescriptor:se}),n({target:"Object",stat:!0,forced:!c},{getOwnPropertyNames:ue}),q(),B($,"Symbol"),_[P]=!0},function(e,t,r){var n=r(1);e.exports=n},function(e,t,r){var n=r(17),i=r(40),a=r(15),o=r(35);e.exports=function(){var e=i("Symbol"),t=e&&e.prototype,r=t&&t.valueOf,s=a("toPrimitive");t&&!t[s]&&o(t,s,(function(e){return n(r,this)}),{arity:1})}},function(e,t,r){var n=r(3),i=r(40),a=r(22),o=r(28),s=r(68),u=r(182),c=s("string-to-symbol-registry"),f=s("symbol-to-string-registry");n({target:"Symbol",stat:!0,forced:!u},{for:function(e){var t=o(e);if(a(c,t))return c[t];var r=i("Symbol")(t);return c[t]=r,f[r]=t,r}})},function(e,t,r){var n=r(3),i=r(22),a=r(78),o=r(80),s=r(68),u=r(182),c=s("symbol-to-string-registry");n({target:"Symbol",stat:!0,forced:!u},{keyFor:function(e){if(!a(e))throw TypeError(o(e)+" is not a symbol");if(i(c,e))return c[e]}})},function(e,t,r){var n=r(3),i=r(66),a=r(7),o=r(113),s=r(37);n({target:"Object",stat:!0,forced:!i||a((function(){o.f(1)}))},{getOwnPropertySymbols:function(e){var t=o.f;return t?t(s(e)):[]}})},function(e,t,r){"use strict";var n,i,a,o=r(3),s=r(50),u=r(133),c=r(1),f=r(17),l=r(35),p=r(120),m=r(90),h=r(121),d=r(54),v=r(12),y=r(25),g=r(131),x=r(161),b=r(183).set,w=r(242),N=r(245),M=r(134),E=r(246),S=r(46),A=r(91),O=r(92),C=r(93),T=O.CONSTRUCTOR,_=O.REJECTION_EVENT,I=O.SUBCLASSING,k=S.getterFor("Promise"),z=S.set,R=A&&A.prototype,q=A,B=R,D=c.TypeError,j=c.document,P=c.process,F=C.f,U=F,L=!!(j&&j.createEvent&&c.dispatchEvent),$=function(e){var t;return!(!y(e)||!v(t=e.then))&&t},H=function(e,t){var r,n,i,a=t.value,o=1==t.state,s=o?e.ok:e.fail,u=e.resolve,c=e.reject,l=e.domain;try{s?(o||(2===t.rejection&&Y(t),t.rejection=1),!0===s?r=a:(l&&l.enter(),r=s(a),l&&(l.exit(),i=!0)),r===e.promise?c(D("Promise-chain cycle")):(n=$(r))?f(n,r,u,c):u(r)):c(a)}catch(e){l&&!i&&l.exit(),c(e)}},G=function(e,t){e.notified||(e.notified=!0,w((function(){for(var r,n=e.reactions;r=n.get();)H(r,e);e.notified=!1,t&&!e.rejection&&Z(e)})))},V=function(e,t,r){var n,i;L?((n=j.createEvent("Event")).promise=t,n.reason=r,n.initEvent(e,!1,!0),c.dispatchEvent(n)):n={promise:t,reason:r},!_&&(i=c["on"+e])?i(n):"unhandledrejection"===e&&N("Unhandled promise rejection",r)},Z=function(e){f(b,c,(function(){var t,r=e.facade,n=e.value;if(W(e)&&(t=M((function(){u?P.emit("unhandledRejection",n,r):V("unhandledrejection",r,n)})),e.rejection=u||W(e)?2:1,t.error))throw t.value}))},W=function(e){return 1!==e.rejection&&!e.parent},Y=function(e){f(b,c,(function(){var t=e.facade;u?P.emit("rejectionHandled",t):V("rejectionhandled",t,e.value)}))},J=function(e,t,r){return function(n){e(t,n,r)}},X=function(e,t,r){e.done||(e.done=!0,r&&(e=r),e.value=t,e.state=2,G(e,!0))},Q=function(e,t,r){if(!e.done){e.done=!0,r&&(e=r);try{if(e.facade===t)throw D("Promise can't be resolved itself");var n=$(t);n?w((function(){var r={done:!1};try{f(n,t,J(Q,r,e),J(X,r,e))}catch(t){X(r,t,e)}})):(e.value=t,e.state=1,G(e,!1))}catch(t){X({done:!1},t,e)}}};if(T&&(B=(q=function(e){g(this,B),d(e),f(n,this);var t=k(this);try{e(J(Q,t),J(X,t))}catch(e){X(t,e)}}).prototype,(n=function(e){z(this,{type:"Promise",done:!1,notified:!1,parent:!1,reactions:new E,rejection:!1,state:0,value:void 0})}).prototype=l(B,"then",(function(e,t){var r=k(this),n=F(x(this,q));return r.parent=!0,n.ok=!v(e)||e,n.fail=v(t)&&t,n.domain=u?P.domain:void 0,0==r.state?r.reactions.add(n):w((function(){H(n,r)})),n.promise})),i=function(){var e=new n,t=k(e);this.promise=e,this.resolve=J(Q,t),this.reject=J(X,t)},C.f=F=function(e){return e===q||void 0===e?new i(e):U(e)},!s&&v(A)&&R!==Object.prototype)){a=R.then,I||l(R,"then",(function(e,t){var r=this;return new q((function(e,t){f(a,r,e,t)})).then(e,t)}),{unsafe:!0});try{delete R.constructor}catch(e){}p&&p(R,B)}o({global:!0,wrap:!0,forced:T},{Promise:q}),m(q,"Promise",!1,!0),h("Promise")},function(e,t,r){var n=r(1).TypeError;e.exports=function(e,t){if(e<t)throw n("Not enough arguments");return e}},function(e,t,r){var n,i,a,o,s,u,c,f,l=r(1),p=r(70),m=r(59).f,h=r(183).set,d=r(184),v=r(243),y=r(244),g=r(133),x=l.MutationObserver||l.WebKitMutationObserver,b=l.document,w=l.process,N=l.Promise,M=m(l,"queueMicrotask"),E=M&&M.value;E||(n=function(){var e,t;for(g&&(e=w.domain)&&e.exit();i;){t=i.fn,i=i.next;try{t()}catch(e){throw i?o():a=void 0,e}}a=void 0,e&&e.enter()},d||g||y||!x||!b?!v&&N&&N.resolve?((c=N.resolve(void 0)).constructor=N,f=p(c.then,c),o=function(){f(n)}):g?o=function(){w.nextTick(n)}:(h=p(h,l),o=function(){h(n)}):(s=!0,u=b.createTextNode(""),new x(n).observe(u,{characterData:!0}),o=function(){u.data=s=!s})),e.exports=E||function(e){var t={fn:e,next:void 0};a&&(a.next=t),i||(i=t,o()),a=t}},function(e,t,r){var n=r(60),i=r(1);e.exports=/ipad|iphone|ipod/i.test(n)&&void 0!==i.Pebble},function(e,t,r){var n=r(60);e.exports=/web0s(?!.*chrome)/i.test(n)},function(e,t,r){var n=r(1);e.exports=function(e,t){var r=n.console;r&&r.error&&(1==arguments.length?r.error(e):r.error(e,t))}},function(e,t){var r=function(){this.head=null,this.tail=null};r.prototype={add:function(e){var t={item:e,next:null};this.head?this.tail.next=t:this.head=t,this.tail=t},get:function(){var e=this.head;if(e)return this.head=e.next,this.tail===e&&(this.tail=null),e.item}},e.exports=r},function(e,t){e.exports="object"==typeof window&&"object"!=typeof Deno},function(e,t,r){"use strict";var n=r(3),i=r(17),a=r(54),o=r(93),s=r(134),u=r(108);n({target:"Promise",stat:!0,forced:r(185)},{all:function(e){var t=this,r=o.f(t),n=r.resolve,c=r.reject,f=s((function(){var r=a(t.resolve),o=[],s=0,f=1;u(e,(function(e){var a=s++,u=!1;f++,i(r,t,e).then((function(e){u||(u=!0,o[a]=e,--f||n(o))}),c)})),--f||n(o)}));return f.error&&c(f.value),r.promise}})},function(e,t,r){"use strict";var n=r(3),i=r(50),a=r(92).CONSTRUCTOR,o=r(91),s=r(40),u=r(12),c=r(35),f=o&&o.prototype;if(n({target:"Promise",proto:!0,forced:a,real:!0},{catch:function(e){return this.then(void 0,e)}}),!i&&u(o)){var l=s("Promise").prototype.catch;f.catch!==l&&c(f,"catch",l,{unsafe:!0})}},function(e,t,r){"use strict";var n=r(3),i=r(17),a=r(54),o=r(93),s=r(134),u=r(108);n({target:"Promise",stat:!0,forced:r(185)},{race:function(e){var t=this,r=o.f(t),n=r.reject,c=s((function(){var o=a(t.resolve);u(e,(function(e){i(o,t,e).then(r.resolve,n)}))}));return c.error&&n(c.value),r.promise}})},function(e,t,r){"use strict";var n=r(3),i=r(17),a=r(93);n({target:"Promise",stat:!0,forced:r(92).CONSTRUCTOR},{reject:function(e){var t=a.f(this);return i(t.reject,void 0,e),t.promise}})},function(e,t,r){"use strict";var n=r(3),i=r(40),a=r(50),o=r(91),s=r(92).CONSTRUCTOR,u=r(253),c=i("Promise"),f=a&&!s;n({target:"Promise",stat:!0,forced:a||s},{resolve:function(e){return u(f&&this===c?o:this,e)}})},function(e,t,r){var n=r(24),i=r(25),a=r(93);e.exports=function(e,t){if(n(e),i(t)&&t.constructor===e)return t;var r=a.f(e);return(0,r.resolve)(t),r.promise}},function(e,t,r){var n=function(e){"use strict";var t=Object.prototype,r=t.hasOwnProperty,n="function"==typeof Symbol?Symbol:{},i=n.iterator||"@@iterator",a=n.asyncIterator||"@@asyncIterator",o=n.toStringTag||"@@toStringTag";function s(e,t,r){return Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}),e[t]}try{s({},"")}catch(e){s=function(e,t,r){return e[t]=r}}function u(e,t,r,n){var i=t&&t.prototype instanceof l?t:l,a=Object.create(i.prototype),o=new M(n||[]);return a._invoke=function(e,t,r){var n="suspendedStart";return function(i,a){if("executing"===n)throw new Error("Generator is already running");if("completed"===n){if("throw"===i)throw a;return S()}for(r.method=i,r.arg=a;;){var o=r.delegate;if(o){var s=b(o,r);if(s){if(s===f)continue;return s}}if("next"===r.method)r.sent=r._sent=r.arg;else if("throw"===r.method){if("suspendedStart"===n)throw n="completed",r.arg;r.dispatchException(r.arg)}else"return"===r.method&&r.abrupt("return",r.arg);n="executing";var u=c(e,t,r);if("normal"===u.type){if(n=r.done?"completed":"suspendedYield",u.arg===f)continue;return{value:u.arg,done:r.done}}"throw"===u.type&&(n="completed",r.method="throw",r.arg=u.arg)}}}(e,r,o),a}function c(e,t,r){try{return{type:"normal",arg:e.call(t,r)}}catch(e){return{type:"throw",arg:e}}}e.wrap=u;var f={};function l(){}function p(){}function m(){}var h={};s(h,i,(function(){return this}));var d=Object.getPrototypeOf,v=d&&d(d(E([])));v&&v!==t&&r.call(v,i)&&(h=v);var y=m.prototype=l.prototype=Object.create(h);function g(e){["next","throw","return"].forEach((function(t){s(e,t,(function(e){return this._invoke(t,e)}))}))}function x(e,t){var n;this._invoke=function(i,a){function o(){return new t((function(n,o){!function n(i,a,o,s){var u=c(e[i],e,a);if("throw"!==u.type){var f=u.arg,l=f.value;return l&&"object"==typeof l&&r.call(l,"__await")?t.resolve(l.__await).then((function(e){n("next",e,o,s)}),(function(e){n("throw",e,o,s)})):t.resolve(l).then((function(e){f.value=e,o(f)}),(function(e){return n("throw",e,o,s)}))}s(u.arg)}(i,a,n,o)}))}return n=n?n.then(o,o):o()}}function b(e,t){var r=e.iterator[t.method];if(void 0===r){if(t.delegate=null,"throw"===t.method){if(e.iterator.return&&(t.method="return",t.arg=void 0,b(e,t),"throw"===t.method))return f;t.method="throw",t.arg=new TypeError("The iterator does not provide a 'throw' method")}return f}var n=c(r,e.iterator,t.arg);if("throw"===n.type)return t.method="throw",t.arg=n.arg,t.delegate=null,f;var i=n.arg;return i?i.done?(t[e.resultName]=i.value,t.next=e.nextLoc,"return"!==t.method&&(t.method="next",t.arg=void 0),t.delegate=null,f):i:(t.method="throw",t.arg=new TypeError("iterator result is not an object"),t.delegate=null,f)}function w(e){var t={tryLoc:e[0]};1 in e&&(t.catchLoc=e[1]),2 in e&&(t.finallyLoc=e[2],t.afterLoc=e[3]),this.tryEntries.push(t)}function N(e){var t=e.completion||{};t.type="normal",delete t.arg,e.completion=t}function M(e){this.tryEntries=[{tryLoc:"root"}],e.forEach(w,this),this.reset(!0)}function E(e){if(e){var t=e[i];if(t)return t.call(e);if("function"==typeof e.next)return e;if(!isNaN(e.length)){var n=-1,a=function t(){for(;++n<e.length;)if(r.call(e,n))return t.value=e[n],t.done=!1,t;return t.value=void 0,t.done=!0,t};return a.next=a}}return{next:S}}function S(){return{value:void 0,done:!0}}return p.prototype=m,s(y,"constructor",m),s(m,"constructor",p),p.displayName=s(m,o,"GeneratorFunction"),e.isGeneratorFunction=function(e){var t="function"==typeof e&&e.constructor;return!!t&&(t===p||"GeneratorFunction"===(t.displayName||t.name))},e.mark=function(e){return Object.setPrototypeOf?Object.setPrototypeOf(e,m):(e.__proto__=m,s(e,o,"GeneratorFunction")),e.prototype=Object.create(y),e},e.awrap=function(e){return{__await:e}},g(x.prototype),s(x.prototype,a,(function(){return this})),e.AsyncIterator=x,e.async=function(t,r,n,i,a){void 0===a&&(a=Promise);var o=new x(u(t,r,n,i),a);return e.isGeneratorFunction(r)?o:o.next().then((function(e){return e.done?e.value:o.next()}))},g(y),s(y,o,"Generator"),s(y,i,(function(){return this})),s(y,"toString",(function(){return"[object Generator]"})),e.keys=function(e){var t=[];for(var r in e)t.push(r);return t.reverse(),function r(){for(;t.length;){var n=t.pop();if(n in e)return r.value=n,r.done=!1,r}return r.done=!0,r}},e.values=E,M.prototype={constructor:M,reset:function(e){if(this.prev=0,this.next=0,this.sent=this._sent=void 0,this.done=!1,this.delegate=null,this.method="next",this.arg=void 0,this.tryEntries.forEach(N),!e)for(var t in this)"t"===t.charAt(0)&&r.call(this,t)&&!isNaN(+t.slice(1))&&(this[t]=void 0)},stop:function(){this.done=!0;var e=this.tryEntries[0].completion;if("throw"===e.type)throw e.arg;return this.rval},dispatchException:function(e){if(this.done)throw e;var t=this;function n(r,n){return o.type="throw",o.arg=e,t.next=r,n&&(t.method="next",t.arg=void 0),!!n}for(var i=this.tryEntries.length-1;i>=0;--i){var a=this.tryEntries[i],o=a.completion;if("root"===a.tryLoc)return n("end");if(a.tryLoc<=this.prev){var s=r.call(a,"catchLoc"),u=r.call(a,"finallyLoc");if(s&&u){if(this.prev<a.catchLoc)return n(a.catchLoc,!0);if(this.prev<a.finallyLoc)return n(a.finallyLoc)}else if(s){if(this.prev<a.catchLoc)return n(a.catchLoc,!0)}else{if(!u)throw new Error("try statement without catch or finally");if(this.prev<a.finallyLoc)return n(a.finallyLoc)}}}},abrupt:function(e,t){for(var n=this.tryEntries.length-1;n>=0;--n){var i=this.tryEntries[n];if(i.tryLoc<=this.prev&&r.call(i,"finallyLoc")&&this.prev<i.finallyLoc){var a=i;break}}a&&("break"===e||"continue"===e)&&a.tryLoc<=t&&t<=a.finallyLoc&&(a=null);var o=a?a.completion:{};return o.type=e,o.arg=t,a?(this.method="next",this.next=a.finallyLoc,f):this.complete(o)},complete:function(e,t){if("throw"===e.type)throw e.arg;return"break"===e.type||"continue"===e.type?this.next=e.arg:"return"===e.type?(this.rval=this.arg=e.arg,this.method="return",this.next="end"):"normal"===e.type&&t&&(this.next=t),f},finish:function(e){for(var t=this.tryEntries.length-1;t>=0;--t){var r=this.tryEntries[t];if(r.finallyLoc===e)return this.complete(r.completion,r.afterLoc),N(r),f}},catch:function(e){for(var t=this.tryEntries.length-1;t>=0;--t){var r=this.tryEntries[t];if(r.tryLoc===e){var n=r.completion;if("throw"===n.type){var i=n.arg;N(r)}return i}}throw new Error("illegal catch attempt")},delegateYield:function(e,t,r){return this.delegate={iterator:E(e),resultName:t,nextLoc:r},"next"===this.method&&(this.arg=void 0),f}},e}(e.exports);try{regeneratorRuntime=n}catch(e){"object"==typeof globalThis?globalThis.regeneratorRuntime=n:Function("r","regeneratorRuntime = r")(n)}},function(e,t,r){"use strict";var n=r(3),i=r(167).trim;n({target:"String",proto:!0,forced:r(256)("trim")},{trim:function(){return i(this)}})},function(e,t,r){var n=r(81).PROPER,i=r(7),a=r(168);e.exports=function(e){return i((function(){return!!a[e]()||"
"!=="
"[e]()||n&&a[e].name!==e}))}},function(e,t){e.exports=function(e){if(Array.isArray(e))return e},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t){e.exports=function(e,t){var r=null==e?null:"undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(null!=r){var n,i,a=[],o=!0,s=!1;try{for(r=r.call(e);!(o=(n=r.next()).done)&&(a.push(n.value),!t||a.length!==t);o=!0);}catch(e){s=!0,i=e}finally{try{o||null==r.return||r.return()}finally{if(s)throw i}}return a}},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t){e.exports=function(){throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t,r){var n=r(188);e.exports=function(e){if(Array.isArray(e))return n(e)},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t){e.exports=function(e){if("undefined"!=typeof Symbol&&null!=e[Symbol.iterator]||null!=e["@@iterator"])return Array.from(e)},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t){e.exports=function(){throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")},e.exports.__esModule=!0,e.exports.default=e.exports},function(e,t,r){"use strict";var n=r(37),i=r(83),a=r(47);e.exports=function(e){for(var t=n(this),r=a(t),o=arguments.length,s=i(o>1?arguments[1]:void 0,r),u=o>2?arguments[2]:void 0,c=void 0===u?r:i(u,r);c>s;)t[s++]=e;return t}},function(e,t,r){"use strict";r(173)("Set",(function(e){return function(){return e(this,arguments.length?arguments[0]:void 0)}}),r(179))},function(e,t,r){(function(e){var n;!function(e,i,a){function o(e){var t,r=this,n=(t=4022871197,function(e){e=String(e);for(var r=0;r<e.length;r++){var n=.02519603282416938*(t+=e.charCodeAt(r));n-=t=n>>>0,t=(n*=t)>>>0,t+=4294967296*(n-=t)}return 2.3283064365386963e-10*(t>>>0)});r.next=function(){var e=2091639*r.s0+2.3283064365386963e-10*r.c;return r.s0=r.s1,r.s1=r.s2,r.s2=e-(r.c=0|e)},r.c=1,r.s0=n(" "),r.s1=n(" "),r.s2=n(" "),r.s0-=n(e),r.s0<0&&(r.s0+=1),r.s1-=n(e),r.s1<0&&(r.s1+=1),r.s2-=n(e),r.s2<0&&(r.s2+=1),n=null}function s(e,t){return t.c=e.c,t.s0=e.s0,t.s1=e.s1,t.s2=e.s2,t}function u(e,t){var r=new o(e),n=t&&t.state,i=r.next;return i.int32=function(){return 4294967296*r.next()|0},i.double=function(){return i()+11102230246251565e-32*(2097152*i()|0)},i.quick=i,n&&("object"==typeof n&&s(n,r),i.state=function(){return s(r,{})}),i}i&&i.exports?i.exports=u:r(38)&&r(75)?void 0===(n=function(){return u}.call(t,r,t,i))||(i.exports=n):this.alea=u}(0,e,r(38))}).call(this,r(74)(e))},function(e,t,r){(function(e){var n;!function(e,i,a){function o(e){var t=this,r="";t.x=0,t.y=0,t.z=0,t.w=0,t.next=function(){var e=t.x^t.x<<11;return t.x=t.y,t.y=t.z,t.z=t.w,t.w^=t.w>>>19^e^e>>>8},e===(0|e)?t.x=e:r+=e;for(var n=0;n<r.length+64;n++)t.x^=0|r.charCodeAt(n),t.next()}function s(e,t){return t.x=e.x,t.y=e.y,t.z=e.z,t.w=e.w,t}function u(e,t){var r=new o(e),n=t&&t.state,i=function(){return(r.next()>>>0)/4294967296};return i.double=function(){do{var e=((r.next()>>>11)+(r.next()>>>0)/4294967296)/(1<<21)}while(0===e);return e},i.int32=r.next,i.quick=i,n&&("object"==typeof n&&s(n,r),i.state=function(){return s(r,{})}),i}i&&i.exports?i.exports=u:r(38)&&r(75)?void 0===(n=function(){return u}.call(t,r,t,i))||(i.exports=n):this.xor128=u}(0,e,r(38))}).call(this,r(74)(e))},function(e,t,r){(function(e){var n;!function(e,i,a){function o(e){var t=this,r="";t.next=function(){var e=t.x^t.x>>>2;return t.x=t.y,t.y=t.z,t.z=t.w,t.w=t.v,(t.d=t.d+362437|0)+(t.v=t.v^t.v<<4^e^e<<1)|0},t.x=0,t.y=0,t.z=0,t.w=0,t.v=0,e===(0|e)?t.x=e:r+=e;for(var n=0;n<r.length+64;n++)t.x^=0|r.charCodeAt(n),n==r.length&&(t.d=t.x<<10^t.x>>>4),t.next()}function s(e,t){return t.x=e.x,t.y=e.y,t.z=e.z,t.w=e.w,t.v=e.v,t.d=e.d,t}function u(e,t){var r=new o(e),n=t&&t.state,i=function(){return(r.next()>>>0)/4294967296};return i.double=function(){do{var e=((r.next()>>>11)+(r.next()>>>0)/4294967296)/(1<<21)}while(0===e);return e},i.int32=r.next,i.quick=i,n&&("object"==typeof n&&s(n,r),i.state=function(){return s(r,{})}),i}i&&i.exports?i.exports=u:r(38)&&r(75)?void 0===(n=function(){return u}.call(t,r,t,i))||(i.exports=n):this.xorwow=u}(0,e,r(38))}).call(this,r(74)(e))},function(e,t,r){(function(e){var n;!function(e,i,a){function o(e){var t=this;t.next=function(){var e,r,n=t.x,i=t.i;return e=n[i],r=(e^=e>>>7)^e<<24,r^=(e=n[i+1&7])^e>>>10,r^=(e=n[i+3&7])^e>>>3,r^=(e=n[i+4&7])^e<<7,e=n[i+7&7],r^=(e^=e<<13)^e<<9,n[i]=r,t.i=i+1&7,r},function(e,t){var r,n=[];if(t===(0|t))n[0]=t;else for(t=""+t,r=0;r<t.length;++r)n[7&r]=n[7&r]<<15^t.charCodeAt(r)+n[r+1&7]<<13;for(;n.length<8;)n.push(0);for(r=0;r<8&&0===n[r];++r);for(8==r?n[7]=-1:n[r],e.x=n,e.i=0,r=256;r>0;--r)e.next()}(t,e)}function s(e,t){return t.x=e.x.slice(),t.i=e.i,t}function u(e,t){null==e&&(e=+new Date);var r=new o(e),n=t&&t.state,i=function(){return(r.next()>>>0)/4294967296};return i.double=function(){do{var e=((r.next()>>>11)+(r.next()>>>0)/4294967296)/(1<<21)}while(0===e);return e},i.int32=r.next,i.quick=i,n&&(n.x&&s(n,r),i.state=function(){return s(r,{})}),i}i&&i.exports?i.exports=u:r(38)&&r(75)?void 0===(n=function(){return u}.call(t,r,t,i))||(i.exports=n):this.xorshift7=u}(0,e,r(38))}).call(this,r(74)(e))},function(e,t,r){(function(e){var n;!function(e,i,a){function o(e){var t=this;t.next=function(){var e,r,n=t.w,i=t.X,a=t.i;return t.w=n=n+1640531527|0,r=i[a+34&127],e=i[a=a+1&127],r^=r<<13,e^=e<<17,r^=r>>>15,e^=e>>>12,r=i[a]=r^e,t.i=a,r+(n^n>>>16)|0},function(e,t){var r,n,i,a,o,s=[],u=128;for(t===(0|t)?(n=t,t=null):(t+="\0",n=0,u=Math.max(u,t.length)),i=0,a=-32;a<u;++a)t&&(n^=t.charCodeAt((a+32)%t.length)),0===a&&(o=n),n^=n<<10,n^=n>>>15,n^=n<<4,n^=n>>>13,a>=0&&(o=o+1640531527|0,i=0==(r=s[127&a]^=n+o)?i+1:0);for(i>=128&&(s[127&(t&&t.length||0)]=-1),i=127,a=512;a>0;--a)n=s[i+34&127],r=s[i=i+1&127],n^=n<<13,r^=r<<17,n^=n>>>15,r^=r>>>12,s[i]=n^r;e.w=o,e.X=s,e.i=i}(t,e)}function s(e,t){return t.i=e.i,t.w=e.w,t.X=e.X.slice(),t}function u(e,t){null==e&&(e=+new Date);var r=new o(e),n=t&&t.state,i=function(){return(r.next()>>>0)/4294967296};return i.double=function(){do{var e=((r.next()>>>11)+(r.next()>>>0)/4294967296)/(1<<21)}while(0===e);return e},i.int32=r.next,i.quick=i,n&&(n.X&&s(n,r),i.state=function(){return s(r,{})}),i}i&&i.exports?i.exports=u:r(38)&&r(75)?void 0===(n=function(){return u}.call(t,r,t,i))||(i.exports=n):this.xor4096=u}(0,e,r(38))}).call(this,r(74)(e))},function(e,t,r){(function(e){var n;!function(e,i,a){function o(e){var t=this,r="";t.next=function(){var e=t.b,r=t.c,n=t.d,i=t.a;return e=e<<25^e>>>7^r,r=r-n|0,n=n<<24^n>>>8^i,i=i-e|0,t.b=e=e<<20^e>>>12^r,t.c=r=r-n|0,t.d=n<<16^r>>>16^i,t.a=i-e|0},t.a=0,t.b=0,t.c=-1640531527,t.d=1367130551,e===Math.floor(e)?(t.a=e/4294967296|0,t.b=0|e):r+=e;for(var n=0;n<r.length+20;n++)t.b^=0|r.charCodeAt(n),t.next()}function s(e,t){return t.a=e.a,t.b=e.b,t.c=e.c,t.d=e.d,t}function u(e,t){var r=new o(e),n=t&&t.state,i=function(){return(r.next()>>>0)/4294967296};return i.double=function(){do{var e=((r.next()>>>11)+(r.next()>>>0)/4294967296)/(1<<21)}while(0===e);return e},i.int32=r.next,i.quick=i,n&&("object"==typeof n&&s(n,r),i.state=function(){return s(r,{})}),i}i&&i.exports?i.exports=u:r(38)&&r(75)?void 0===(n=function(){return u}.call(t,r,t,i))||(i.exports=n):this.tychei=u}(0,e,r(38))}).call(this,r(74)(e))},function(e,t,r){var n;!function(i,a,o){var s,u=o.pow(256,6),c=o.pow(2,52),f=2*c;function l(e,t,r){var n=[],l=h(function e(t,r){var n,i=[],a=typeof t;if(r&&"object"==a)for(n in t)try{i.push(e(t[n],r-1))}catch(e){}return i.length?i:"string"==a?t:t+"\0"}((t=1==t?{entropy:!0}:t||{}).entropy?[e,d(a)]:null==e?function(){try{var e;return s&&(e=s.randomBytes)?e=e(256):(e=new Uint8Array(256),(i.crypto||i.msCrypto).getRandomValues(e)),d(e)}catch(e){var t=i.navigator,r=t&&t.plugins;return[+new Date,i,r,i.screen,d(a)]}}():e,3),n),v=new p(n),y=function(){for(var e=v.g(6),t=u,r=0;e<c;)e=256*(e+r),t*=256,r=v.g(1);for(;e>=f;)e/=2,t/=2,r>>>=1;return(e+r)/t};return y.int32=function(){return 0|v.g(4)},y.quick=function(){return v.g(4)/4294967296},y.double=y,h(d(v.S),a),(t.pass||r||function(e,t,r,n){return n&&(n.S&&m(n,v),e.state=function(){return m(v,{})}),r?(o.random=e,t):e})(y,l,"global"in t?t.global:this==o,t.state)}function p(e){var t,r=e.length,n=this,i=0,a=n.i=n.j=0,o=n.S=[];for(r||(e=[r++]);i<256;)o[i]=i++;for(i=0;i<256;i++)o[i]=o[a=255&a+e[i%r]+(t=o[i])],o[a]=t;(n.g=function(e){for(var t,r=0,i=n.i,a=n.j,o=n.S;e--;)t=o[i=255&i+1],r=256*r+o[255&(o[i]=o[a=255&a+t])+(o[a]=t)];return n.i=i,n.j=a,r})(256)}function m(e,t){return t.i=e.i,t.j=e.j,t.S=e.S.slice(),t}function h(e,t){for(var r,n=e+"",i=0;i<n.length;)t[255&i]=255&(r^=19*t[255&i])+n.charCodeAt(i++);return d(t)}function d(e){return String.fromCharCode.apply(0,e)}if(h(o.random(),a),e.exports){e.exports=l;try{s=r(272)}catch(e){}}else void 0===(n=function(){return l}.call(t,r,t,e))||(e.exports=n)}("undefined"!=typeof self?self:this,[],Math)},function(e,t){},function(e,t,r){r(3)({target:"String",proto:!0},{repeat:r(170)})},function(e,t,r){"use strict";r.r(t);var n={};r.r(n),r.d(n,"createTyped",(function(){return bt})),r.d(n,"createResultSet",(function(){return Et})),r.d(n,"createBigNumberClass",(function(){return Ot})),r.d(n,"createComplexClass",(function(){return _t})),r.d(n,"createFractionClass",(function(){return zt})),r.d(n,"createRangeClass",(function(){return Rt})),r.d(n,"createMatrixClass",(function(){return qt})),r.d(n,"createDenseMatrixClass",(function(){return Ft})),r.d(n,"createClone",(function(){return Ut})),r.d(n,"createIsInteger",(function(){return Yt})),r.d(n,"createIsNegative",(function(){return er})),r.d(n,"createIsNumeric",(function(){return tr})),r.d(n,"createHasNumericValue",(function(){return rr})),r.d(n,"createIsPositive",(function(){return nr})),r.d(n,"createIsZero",(function(){return ir})),r.d(n,"createIsNaN",(function(){return ar})),r.d(n,"createTypeOf",(function(){return or})),r.d(n,"createEqualScalar",(function(){return ur})),r.d(n,"createSparseMatrixClass",(function(){return cr})),r.d(n,"createNumber",(function(){return fr})),r.d(n,"createString",(function(){return lr})),r.d(n,"createBoolean",(function(){return pr})),r.d(n,"createBignumber",(function(){return mr})),r.d(n,"createComplex",(function(){return hr})),r.d(n,"createFraction",(function(){return dr})),r.d(n,"createMatrix",(function(){return vr})),r.d(n,"createMatrixFromFunction",(function(){return yr})),r.d(n,"createMatrixFromRows",(function(){return br})),r.d(n,"createMatrixFromColumns",(function(){return Mr})),r.d(n,"createSplitUnit",(function(){return Er})),r.d(n,"createUnaryMinus",(function(){return Gr})),r.d(n,"createUnaryPlus",(function(){return Vr})),r.d(n,"createAbs",(function(){return Zr})),r.d(n,"createApply",(function(){return Wr})),r.d(n,"createAddScalar",(function(){return Jr})),r.d(n,"createCbrt",(function(){return Xr})),r.d(n,"createCeil",(function(){return on})),r.d(n,"createCube",(function(){return sn})),r.d(n,"createExp",(function(){return un})),r.d(n,"createExpm1",(function(){return cn})),r.d(n,"createFix",(function(){return pn})),r.d(n,"createFloor",(function(){return dn})),r.d(n,"createGcd",(function(){return bn})),r.d(n,"createLcm",(function(){return Mn})),r.d(n,"createLog10",(function(){return En})),r.d(n,"createLog2",(function(){return Sn})),r.d(n,"createMod",(function(){return Cn})),r.d(n,"createMultiplyScalar",(function(){return Tn})),r.d(n,"createMultiply",(function(){return _n})),r.d(n,"createNthRoot",(function(){return In})),r.d(n,"createSign",(function(){return kn})),r.d(n,"createSqrt",(function(){return zn})),r.d(n,"createSquare",(function(){return Rn})),r.d(n,"createSubtract",(function(){return qn})),r.d(n,"createXgcd",(function(){return Dn})),r.d(n,"createInvmod",(function(){return jn})),r.d(n,"createDotMultiply",(function(){return Fn})),r.d(n,"createBitAnd",(function(){return ni})),r.d(n,"createBitNot",(function(){return ii})),r.d(n,"createBitOr",(function(){return ai})),r.d(n,"createBitXor",(function(){return si})),r.d(n,"createArg",(function(){return ui})),r.d(n,"createConj",(function(){return ci})),r.d(n,"createIm",(function(){return fi})),r.d(n,"createRe",(function(){return li})),r.d(n,"createNot",(function(){return vi})),r.d(n,"createOr",(function(){return yi})),r.d(n,"createXor",(function(){return gi})),r.d(n,"createConcat",(function(){return xi})),r.d(n,"createColumn",(function(){return wi})),r.d(n,"createCount",(function(){return Ni})),r.d(n,"createCross",(function(){return Mi})),r.d(n,"createDiag",(function(){return Ei})),r.d(n,"createFilter",(function(){return Ci})),r.d(n,"createFlatten",(function(){return _i})),r.d(n,"createForEach",(function(){return Ii})),r.d(n,"createGetMatrixDataType",(function(){return zi})),r.d(n,"createIdentity",(function(){return Ri})),r.d(n,"createKron",(function(){return qi})),r.d(n,"createMap",(function(){return Bi})),r.d(n,"createDiff",(function(){return ji})),r.d(n,"createOnes",(function(){return Pi})),r.d(n,"createRange",(function(){return $i})),r.d(n,"createReshape",(function(){return Hi})),r.d(n,"createResize",(function(){return Vi})),r.d(n,"createRotate",(function(){return Zi})),r.d(n,"createRotationMatrix",(function(){return Wi})),r.d(n,"createRow",(function(){return Yi})),r.d(n,"createSize",(function(){return Ji})),r.d(n,"createSqueeze",(function(){return Xi})),r.d(n,"createSubset",(function(){return Qi})),r.d(n,"createTranspose",(function(){return na})),r.d(n,"createCtranspose",(function(){return ia})),r.d(n,"createZeros",(function(){return aa})),r.d(n,"createFft",(function(){return ua})),r.d(n,"createIfft",(function(){return ca})),r.d(n,"createErf",(function(){return fa})),r.d(n,"createMode",(function(){return va})),r.d(n,"createProd",(function(){return ga})),r.d(n,"createFormat",(function(){return xa})),r.d(n,"createBin",(function(){return ba})),r.d(n,"createOct",(function(){return wa})),r.d(n,"createHex",(function(){return Na})),r.d(n,"createPrint",(function(){return Ma})),r.d(n,"createTo",(function(){return Sa})),r.d(n,"createIsPrime",(function(){return Aa})),r.d(n,"createNumeric",(function(){return Oa})),r.d(n,"createDivideScalar",(function(){return Ca})),r.d(n,"createPow",(function(){return Ta})),r.d(n,"createRound",(function(){return Ia})),r.d(n,"createLog",(function(){return ka})),r.d(n,"createLog1p",(function(){return za})),r.d(n,"createNthRoots",(function(){return Ra})),r.d(n,"createDotPow",(function(){return qa})),r.d(n,"createDotDivide",(function(){return Ba})),r.d(n,"createLsolve",(function(){return ja})),r.d(n,"createUsolve",(function(){return Pa})),r.d(n,"createLsolveAll",(function(){return Fa})),r.d(n,"createUsolveAll",(function(){return Ua})),r.d(n,"createLeftShift",(function(){return $a})),r.d(n,"createRightArithShift",(function(){return Ha})),r.d(n,"createRightLogShift",(function(){return Ga})),r.d(n,"createAnd",(function(){return Va})),r.d(n,"createCompare",(function(){return Za})),r.d(n,"createCompareNatural",(function(){return Ja})),r.d(n,"createCompareText",(function(){return Xa})),r.d(n,"createEqual",(function(){return Qa})),r.d(n,"createEqualText",(function(){return Ka})),r.d(n,"createSmaller",(function(){return eo})),r.d(n,"createSmallerEq",(function(){return to})),r.d(n,"createLarger",(function(){return ro})),r.d(n,"createLargerEq",(function(){return no})),r.d(n,"createDeepEqual",(function(){return io})),r.d(n,"createUnequal",(function(){return ao})),r.d(n,"createPartitionSelect",(function(){return oo})),r.d(n,"createSort",(function(){return so})),r.d(n,"createMax",(function(){return uo})),r.d(n,"createMin",(function(){return co})),r.d(n,"createImmutableDenseMatrixClass",(function(){return fo})),r.d(n,"createIndexClass",(function(){return lo})),r.d(n,"createFibonacciHeapClass",(function(){return po})),r.d(n,"createSpaClass",(function(){return mo})),r.d(n,"createUnitClass",(function(){return Ao})),r.d(n,"createUnitFunction",(function(){return Oo})),r.d(n,"createSparse",(function(){return Co})),r.d(n,"createCreateUnit",(function(){return To})),r.d(n,"createAcos",(function(){return _o})),r.d(n,"createAcosh",(function(){return Zo})),r.d(n,"createAcot",(function(){return Wo})),r.d(n,"createAcoth",(function(){return Yo})),r.d(n,"createAcsc",(function(){return Jo})),r.d(n,"createAcsch",(function(){return Xo})),r.d(n,"createAsec",(function(){return Qo})),r.d(n,"createAsech",(function(){return Ko})),r.d(n,"createAsin",(function(){return es})),r.d(n,"createAsinh",(function(){return ts})),r.d(n,"createAtan",(function(){return rs})),r.d(n,"createAtan2",(function(){return ns})),r.d(n,"createAtanh",(function(){return is})),r.d(n,"createCos",(function(){return as})),r.d(n,"createCosh",(function(){return os})),r.d(n,"createCot",(function(){return ss})),r.d(n,"createCoth",(function(){return us})),r.d(n,"createCsc",(function(){return cs})),r.d(n,"createCsch",(function(){return fs})),r.d(n,"createSec",(function(){return ls})),r.d(n,"createSech",(function(){return ps})),r.d(n,"createSin",(function(){return ms})),r.d(n,"createSinh",(function(){return hs})),r.d(n,"createTan",(function(){return ds})),r.d(n,"createTanh",(function(){return vs})),r.d(n,"createSetCartesian",(function(){return ys})),r.d(n,"createSetDifference",(function(){return gs})),r.d(n,"createSetDistinct",(function(){return xs})),r.d(n,"createSetIntersect",(function(){return bs})),r.d(n,"createSetIsSubset",(function(){return ws})),r.d(n,"createSetMultiplicity",(function(){return Ns})),r.d(n,"createSetPowerset",(function(){return Ms})),r.d(n,"createSetSize",(function(){return Es})),r.d(n,"createSetSymDifference",(function(){return Ss})),r.d(n,"createSetUnion",(function(){return As})),r.d(n,"createAdd",(function(){return Os})),r.d(n,"createHypot",(function(){return Cs})),r.d(n,"createNorm",(function(){return Ts})),r.d(n,"createDot",(function(){return _s})),r.d(n,"createTrace",(function(){return Is})),r.d(n,"createIndex",(function(){return ks})),r.d(n,"createNode",(function(){return Rs})),r.d(n,"createAccessorNode",(function(){return Ds})),r.d(n,"createArrayNode",(function(){return js})),r.d(n,"createAssignmentNode",(function(){return $s})),r.d(n,"createBlockNode",(function(){return Hs})),r.d(n,"createConditionalNode",(function(){return Gs})),r.d(n,"createConstantNode",(function(){return eu})),r.d(n,"createFunctionAssignmentNode",(function(){return tu})),r.d(n,"createIndexNode",(function(){return ru})),r.d(n,"createObjectNode",(function(){return nu})),r.d(n,"createOperatorNode",(function(){return iu})),r.d(n,"createParenthesisNode",(function(){return au})),r.d(n,"createRangeNode",(function(){return ou})),r.d(n,"createRelationalNode",(function(){return su})),r.d(n,"createSymbolNode",(function(){return uu})),r.d(n,"createFunctionNode",(function(){return fu})),r.d(n,"createParse",(function(){return lu})),r.d(n,"createCompile",(function(){return pu})),r.d(n,"createEvaluate",(function(){return mu})),r.d(n,"createParserClass",(function(){return hu})),r.d(n,"createParser",(function(){return du})),r.d(n,"createLup",(function(){return vu})),r.d(n,"createQr",(function(){return yu})),r.d(n,"createSlu",(function(){return _u})),r.d(n,"createLusolve",(function(){return zu})),r.d(n,"createHelpClass",(function(){return qu})),r.d(n,"createChainClass",(function(){return Du})),r.d(n,"createHelp",(function(){return Uu})),r.d(n,"createChain",(function(){return Lu})),r.d(n,"createDet",(function(){return $u})),r.d(n,"createInv",(function(){return Hu})),r.d(n,"createPinv",(function(){return Gu})),r.d(n,"createEigs",(function(){return Yu})),r.d(n,"createExpm",(function(){return Ju})),r.d(n,"createSqrtm",(function(){return Xu})),r.d(n,"createDivide",(function(){return Qu})),r.d(n,"createDistance",(function(){return Ku})),r.d(n,"createIntersect",(function(){return ec})),r.d(n,"createSum",(function(){return tc})),r.d(n,"createCumSum",(function(){return rc})),r.d(n,"createMean",(function(){return nc})),r.d(n,"createMedian",(function(){return ic})),r.d(n,"createMad",(function(){return ac})),r.d(n,"createVariance",(function(){return oc})),r.d(n,"createQuantileSeq",(function(){return sc})),r.d(n,"createStd",(function(){return uc})),r.d(n,"createCombinations",(function(){return lc})),r.d(n,"createCombinationsWithRep",(function(){return mc})),r.d(n,"createGamma",(function(){return bc})),r.d(n,"createLgamma",(function(){return wc})),r.d(n,"createFactorial",(function(){return Nc})),r.d(n,"createKldivergence",(function(){return Mc})),r.d(n,"createMultinomial",(function(){return Ec})),r.d(n,"createPermutations",(function(){return Sc})),r.d(n,"createPickRandom",(function(){return Ic})),r.d(n,"createRandom",(function(){return zc})),r.d(n,"createRandomInt",(function(){return Rc})),r.d(n,"createStirlingS2",(function(){return qc})),r.d(n,"createBellNumbers",(function(){return Bc})),r.d(n,"createCatalan",(function(){return Dc})),r.d(n,"createComposition",(function(){return jc})),r.d(n,"createLeafCount",(function(){return Pc})),r.d(n,"createSimplify",(function(){return Vc})),r.d(n,"createSimplifyCore",(function(){return Zc})),r.d(n,"createResolve",(function(){return Wc})),r.d(n,"createSymbolicEqual",(function(){return Yc})),r.d(n,"createDerivative",(function(){return Jc})),r.d(n,"createRationalize",(function(){return Xc})),r.d(n,"createReviver",(function(){return Qc})),r.d(n,"createReplacer",(function(){return Kc})),r.d(n,"createE",(function(){return lf})),r.d(n,"createUppercaseE",(function(){return wf})),r.d(n,"createFalse",(function(){return af})),r.d(n,"createI",(function(){return xf})),r.d(n,"createInfinity",(function(){return sf})),r.d(n,"createLN10",(function(){return hf})),r.d(n,"createLN2",(function(){return mf})),r.d(n,"createLOG10E",(function(){return vf})),r.d(n,"createLOG2E",(function(){return df})),r.d(n,"createNaN",(function(){return uf})),r.d(n,"createNull",(function(){return of})),r.d(n,"createPhi",(function(){return pf})),r.d(n,"createPi",(function(){return cf})),r.d(n,"createUppercasePi",(function(){return bf})),r.d(n,"createSQRT1_2",(function(){return yf})),r.d(n,"createSQRT2",(function(){return gf})),r.d(n,"createTau",(function(){return ff})),r.d(n,"createTrue",(function(){return nf})),r.d(n,"createVersion",(function(){return Nf})),r.d(n,"createAtomicMass",(function(){return Kf})),r.d(n,"createAvogadro",(function(){return el})),r.d(n,"createBohrMagneton",(function(){return zf})),r.d(n,"createBohrRadius",(function(){return Pf})),r.d(n,"createBoltzmann",(function(){return tl})),r.d(n,"createClassicalElectronRadius",(function(){return Ff})),r.d(n,"createConductanceQuantum",(function(){return Rf})),r.d(n,"createCoulomb",(function(){return If})),r.d(n,"createDeuteronMass",(function(){return Vf})),r.d(n,"createEfimovFactor",(function(){return Qf})),r.d(n,"createElectricConstant",(function(){return Tf})),r.d(n,"createElectronMass",(function(){return Uf})),r.d(n,"createElementaryCharge",(function(){return kf})),r.d(n,"createFaraday",(function(){return rl})),r.d(n,"createFermiCoupling",(function(){return Lf})),r.d(n,"createFineStructure",(function(){return $f})),r.d(n,"createFirstRadiation",(function(){return nl})),r.d(n,"createGasConstant",(function(){return al})),r.d(n,"createGravitationConstant",(function(){return Sf})),r.d(n,"createGravity",(function(){return hl})),r.d(n,"createHartreeEnergy",(function(){return Hf})),r.d(n,"createInverseConductanceQuantum",(function(){return qf})),r.d(n,"createKlitzing",(function(){return jf})),r.d(n,"createLoschmidt",(function(){return il})),r.d(n,"createMagneticConstant",(function(){return Cf})),r.d(n,"createMagneticFluxQuantum",(function(){return Bf})),r.d(n,"createMolarMass",(function(){return pl})),r.d(n,"createMolarMassC12",(function(){return ml})),r.d(n,"createMolarPlanckConstant",(function(){return ol})),r.d(n,"createMolarVolume",(function(){return sl})),r.d(n,"createNeutronMass",(function(){return Zf})),r.d(n,"createNuclearMagneton",(function(){return Df})),r.d(n,"createPlanckCharge",(function(){return gl})),r.d(n,"createPlanckConstant",(function(){return Af})),r.d(n,"createPlanckLength",(function(){return dl})),r.d(n,"createPlanckMass",(function(){return vl})),r.d(n,"createPlanckTemperature",(function(){return xl})),r.d(n,"createPlanckTime",(function(){return yl})),r.d(n,"createProtonMass",(function(){return Gf})),r.d(n,"createQuantumOfCirculation",(function(){return Wf})),r.d(n,"createReducedPlanckConstant",(function(){return Of})),r.d(n,"createRydberg",(function(){return Yf})),r.d(n,"createSackurTetrode",(function(){return ul})),r.d(n,"createSecondRadiation",(function(){return cl})),r.d(n,"createSpeedOfLight",(function(){return Ef})),r.d(n,"createStefanBoltzmann",(function(){return fl})),r.d(n,"createThomsonCrossSection",(function(){return Jf})),r.d(n,"createVacuumImpedance",(function(){return _f})),r.d(n,"createWeakMixingAngle",(function(){return Xf})),r.d(n,"createWienDisplacement",(function(){return ll})),r.d(n,"createApplyTransform",(function(){return Nl})),r.d(n,"createColumnTransform",(function(){return Ml})),r.d(n,"createFilterTransform",(function(){return Sl})),r.d(n,"createForEachTransform",(function(){return Ol})),r.d(n,"createIndexTransform",(function(){return Cl})),r.d(n,"createMapTransform",(function(){return Tl})),r.d(n,"createMaxTransform",(function(){return kl})),r.d(n,"createMeanTransform",(function(){return zl})),r.d(n,"createMinTransform",(function(){return Rl})),r.d(n,"createRangeTransform",(function(){return ql})),r.d(n,"createRowTransform",(function(){return Bl})),r.d(n,"createSubsetTransform",(function(){return Dl})),r.d(n,"createConcatTransform",(function(){return jl})),r.d(n,"createDiffTransform",(function(){return Pl})),r.d(n,"createStdTransform",(function(){return Fl})),r.d(n,"createSumTransform",(function(){return Ul})),r.d(n,"createCumSumTransform",(function(){return Ll})),r.d(n,"createVarianceTransform",(function(){return $l}));r(30);var i=r(5),a=r.n(i);r(149),r(151),r(156),r(10),r(160),r(8);function o(e){return"number"==typeof e}function s(e){return!(!e||"object"!==a()(e)||"function"!=typeof e.constructor)&&(!0===e.isBigNumber&&"object"===a()(e.constructor.prototype)&&!0===e.constructor.prototype.isBigNumber||"function"==typeof e.constructor.isDecimal&&!0===e.constructor.isDecimal(e))}function u(e){return e&&"object"===a()(e)&&!0===Object.getPrototypeOf(e).isComplex||!1}function c(e){return e&&"object"===a()(e)&&!0===Object.getPrototypeOf(e).isFraction||!1}function f(e){return e&&!0===e.constructor.prototype.isUnit||!1}function l(e){return"string"==typeof e}var p=Array.isArray;function m(e){return e&&!0===e.constructor.prototype.isMatrix||!1}function h(e){return Array.isArray(e)||m(e)}function d(e){return e&&e.isDenseMatrix&&!0===e.constructor.prototype.isMatrix||!1}function v(e){return e&&e.isSparseMatrix&&!0===e.constructor.prototype.isMatrix||!1}function y(e){return e&&!0===e.constructor.prototype.isRange||!1}function g(e){return e&&!0===e.constructor.prototype.isIndex||!1}function x(e){return"boolean"==typeof e}function b(e){return e&&!0===e.constructor.prototype.isResultSet||!1}function w(e){return e&&!0===e.constructor.prototype.isHelp||!1}function N(e){return"function"==typeof e}function M(e){return e instanceof Date}function E(e){return e instanceof RegExp}function S(e){return!(!e||"object"!==a()(e)||e.constructor!==Object||u(e)||c(e))}function A(e){return null===e}function O(e){return void 0===e}function C(e){return e&&!0===e.isAccessorNode&&!0===e.constructor.prototype.isNode||!1}function T(e){return e&&!0===e.isArrayNode&&!0===e.constructor.prototype.isNode||!1}function _(e){return e&&!0===e.isAssignmentNode&&!0===e.constructor.prototype.isNode||!1}function I(e){return e&&!0===e.isBlockNode&&!0===e.constructor.prototype.isNode||!1}function k(e){return e&&!0===e.isConditionalNode&&!0===e.constructor.prototype.isNode||!1}function z(e){return e&&!0===e.isConstantNode&&!0===e.constructor.prototype.isNode||!1}function R(e){return e&&!0===e.isFunctionAssignmentNode&&!0===e.constructor.prototype.isNode||!1}function q(e){return e&&!0===e.isFunctionNode&&!0===e.constructor.prototype.isNode||!1}function B(e){return e&&!0===e.isIndexNode&&!0===e.constructor.prototype.isNode||!1}function D(e){return e&&!0===e.isNode&&!0===e.constructor.prototype.isNode||!1}function j(e){return e&&!0===e.isObjectNode&&!0===e.constructor.prototype.isNode||!1}function P(e){return e&&!0===e.isOperatorNode&&!0===e.constructor.prototype.isNode||!1}function F(e){return e&&!0===e.isParenthesisNode&&!0===e.constructor.prototype.isNode||!1}function U(e){return e&&!0===e.isRangeNode&&!0===e.constructor.prototype.isNode||!1}function L(e){return e&&!0===e.isSymbolNode&&!0===e.constructor.prototype.isNode||!1}function $(e){return e&&!0===e.constructor.prototype.isChain||!1}function H(e){var t=a()(e);return"object"===t?null===e?"null":Array.isArray(e)?"Array":e instanceof Date?"Date":e instanceof RegExp?"RegExp":s(e)?"BigNumber":u(e)?"Complex":c(e)?"Fraction":m(e)?"Matrix":f(e)?"Unit":g(e)?"Index":y(e)?"Range":b(e)?"ResultSet":D(e)?e.type:$(e)?"Chain":w(e)?"Help":"Object":"function"===t?"Function":t}var G=r(136),V=r.n(G);r(210),r(164),r(211),r(213),r(214),r(215),r(19),r(0),r(73),r(87),r(4),r(51),r(16),r(18),r(29),r(217),r(218),r(219),r(220),r(221),r(222),r(223);function Z(e){return"boolean"==typeof e||!!isFinite(e)&&e===Math.round(e)}var W=Math.sign||function(e){return e>0?1:e<0?-1:0},Y=Math.log2||function(e){return Math.log(e)/Math.LN2},J=Math.log10||function(e){return Math.log(e)/Math.LN10},X=Math.log1p||function(e){return Math.log(e+1)},Q=Math.cbrt||function(e){if(0===e)return e;var t,r=e<0;return r&&(e=-e),t=isFinite(e)?(e/((t=Math.exp(Math.log(e)/3))*t)+2*t)/3:e,r?-t:t},K=Math.expm1||function(e){return e>=2e-4||e<=-2e-4?Math.exp(e)-1:e+e*e/2+e*e*e/6};function ee(e,t,r){var n={2:"0b",8:"0o",16:"0x"}[t],i="";if(r){if(r<1)throw new Error("size must be in greater than 0");if(!Z(r))throw new Error("size must be an integer");if(e>Math.pow(2,r-1)-1||e<-Math.pow(2,r-1))throw new Error("Value must be in range [-2^".concat(r-1,", 2^").concat(r-1,"-1]"));if(!Z(e))throw new Error("Value must be an integer");e<0&&(e+=Math.pow(2,r)),i="i".concat(r)}var a="";return e<0&&(e=-e,a="-"),"".concat(a).concat(n).concat(e.toString(t)).concat(i)}function te(e,t){if("function"==typeof t)return t(e);if(e===1/0)return"Infinity";if(e===-1/0)return"-Infinity";if(isNaN(e))return"NaN";var r,n,i="auto";if(t&&(t.notation&&(i=t.notation),o(t)?r=t:o(t.precision)&&(r=t.precision),t.wordSize&&"number"!=typeof(n=t.wordSize)))throw new Error('Option "wordSize" must be a number');switch(i){case"fixed":return ne(e,r);case"exponential":return ie(e,r);case"engineering":return function(e,t){if(isNaN(e)||!isFinite(e))return String(e);var r=ae(re(e),t),n=r.exponent,i=r.coefficients,a=n%3==0?n:n<0?n-3-n%3:n-n%3;if(o(t))for(;t>i.length||n-a+1>i.length;)i.push(0);else for(var s=Math.abs(n-a)-(i.length-1),u=0;u<s;u++)i.push(0);var c=Math.abs(n-a),f=1;for(;c>0;)f++,c--;var l=i.slice(f).join(""),p=o(t)&&l.length||l.match(/[1-9]/)?"."+l:"",m=i.slice(0,f).join("")+p+"e"+(n>=0?"+":"")+a.toString();return r.sign+m}(e,r);case"bin":return ee(e,2,n);case"oct":return ee(e,8,n);case"hex":return ee(e,16,n);case"auto":return function(e,t,r){if(isNaN(e)||!isFinite(e))return String(e);var n=r&&void 0!==r.lowerExp?r.lowerExp:-3,i=r&&void 0!==r.upperExp?r.upperExp:5,a=re(e),o=t?ae(a,t):a;if(o.exponent<n||o.exponent>=i)return ie(e,t);var s=o.coefficients,u=o.exponent;s.length<t&&(s=s.concat(oe(t-s.length))),s=s.concat(oe(u-s.length+1+(s.length<t?t-s.length:0))),s=oe(-u).concat(s);var c=u>0?u:0;return c<s.length-1&&s.splice(c+1,0,"."),o.sign+s.join("")}(e,r,t&&t).replace(/((\.\d*?)(0+))($|e)/,(function(){var e=arguments[2],t=arguments[4];return"."!==e?e+t:t}));default:throw new Error('Unknown notation "'+i+'". Choose "auto", "exponential", "fixed", "bin", "oct", or "hex.')}}function re(e){var t=String(e).toLowerCase().match(/^(-?)(\d+\.?\d*)(e([+-]?\d+))?$/);if(!t)throw new SyntaxError("Invalid number "+e);var r=t[1],n=t[2],i=parseFloat(t[4]||"0"),a=n.indexOf(".");i+=-1!==a?a-1:n.length-1;var o=n.replace(".","").replace(/^0*/,(function(e){return i-=e.length,""})).replace(/0*$/,"").split("").map((function(e){return parseInt(e)}));return 0===o.length&&(o.push(0),i++),{sign:r,coefficients:o,exponent:i}}function ne(e,t){if(isNaN(e)||!isFinite(e))return String(e);var r=re(e),n="number"==typeof t?ae(r,r.exponent+1+t):r,i=n.coefficients,a=n.exponent+1,o=a+(t||0);return i.length<o&&(i=i.concat(oe(o-i.length))),a<0&&(i=oe(1-a).concat(i),a=1),a<i.length&&i.splice(a,0,0===a?"0.":"."),n.sign+i.join("")}function ie(e,t){if(isNaN(e)||!isFinite(e))return String(e);var r=re(e),n=t?ae(r,t):r,i=n.coefficients,a=n.exponent;i.length<t&&(i=i.concat(oe(t-i.length)));var o=i.shift();return n.sign+o+(i.length>0?"."+i.join(""):"")+"e"+(a>=0?"+":"")+a}function ae(e,t){for(var r={sign:e.sign,coefficients:e.coefficients,exponent:e.exponent},n=r.coefficients;t<=0;)n.unshift(0),r.exponent++,t++;if(n.length>t&&n.splice(t,n.length-t)[0]>=5){var i=t-1;for(n[i]++;10===n[i];)n.pop(),0===i&&(n.unshift(0),r.exponent++,i++),n[--i]++}return r}function oe(e){for(var t=[],r=0;r<e;r++)t.push(0);return t}var se=Number.EPSILON||2220446049250313e-31;function ue(e,t,r){if(null==r)return e===t;if(e===t)return!0;if(isNaN(e)||isNaN(t))return!1;if(isFinite(e)&&isFinite(t)){var n=Math.abs(e-t);return n<se||n<=Math.max(Math.abs(e),Math.abs(t))*r}return!1}var ce=Math.acosh||function(e){return Math.log(Math.sqrt(e*e-1)+e)},fe=Math.asinh||function(e){return Math.log(Math.sqrt(e*e+1)+e)},le=Math.atanh||function(e){return Math.log((1+e)/(1-e))/2},pe=Math.cosh||function(e){return(Math.exp(e)+Math.exp(-e))/2},me=Math.sinh||function(e){return(Math.exp(e)-Math.exp(-e))/2},he=Math.tanh||function(e){var t=Math.exp(2*e);return(t-1)/(t+1)};r(42),r(6),r(13),r(36),r(48),r(34),r(88),r(169);function de(e,t,r){var n=new(0,e.constructor)(2),i="";if(r){if(r<1)throw new Error("size must be in greater than 0");if(!Z(r))throw new Error("size must be an integer");if(e.greaterThan(n.pow(r-1).sub(1))||e.lessThan(n.pow(r-1).mul(-1)))throw new Error("Value must be in range [-2^".concat(r-1,", 2^").concat(r-1,"-1]"));if(!e.isInteger())throw new Error("Value must be an integer");e.lessThan(0)&&(e=e.add(n.pow(r))),i="i".concat(r)}switch(t){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(t," not supported "))}}function ve(e,t){if("function"==typeof t)return t(e);if(!e.isFinite())return e.isNaN()?"NaN":e.gt(0)?"Infinity":"-Infinity";var r,n,i="auto";if(void 0!==t&&(t.notation&&(i=t.notation),"number"==typeof t?r=t:t.precision&&(r=t.precision),t.wordSize&&"number"!=typeof(n=t.wordSize)))throw new Error('Option "wordSize" must be a number');switch(i){case"fixed":return function(e,t){return e.toFixed(t)}(e,r);case"exponential":return ye(e,r);case"engineering":return function(e,t){var r=e.e,n=r%3==0?r:r<0?r-3-r%3:r-r%3,i=e.mul(Math.pow(10,-n)),a=i.toPrecision(t);-1!==a.indexOf("e")&&(a=i.toString());return a+"e"+(r>=0?"+":"")+n.toString()}(e,r);case"bin":return de(e,2,n);case"oct":return de(e,8,n);case"hex":return de(e,16,n);case"auto":var a=t&&void 0!==t.lowerExp?t.lowerExp:-3,o=t&&void 0!==t.upperExp?t.upperExp:5;if(e.isZero())return"0";var s=e.toSignificantDigits(r),u=s.e;return(u>=a&&u<o?s.toFixed():ye(e,r)).replace(/((\.\d*?)(0+))($|e)/,(function(){var e=arguments[2],t=arguments[4];return"."!==e?e+t:t}));default:throw new Error('Unknown notation "'+i+'". Choose "auto", "exponential", "fixed", "bin", "oct", or "hex.')}}function ye(e,t){return void 0!==t?e.toExponential(t-1):e.toExponential()}function ge(e,t){var r=e.length-t.length,n=e.length;return e.substring(r,n)===t}function xe(e,t){var r=function(e,t){if("number"==typeof e)return te(e,t);if(s(e))return ve(e,t);if(function(e){return e&&"object"===a()(e)&&"number"==typeof e.s&&"number"==typeof e.n&&"number"==typeof e.d||!1}(e))return t&&"decimal"===t.fraction?e.toString():e.s*e.n+"/"+e.d;if(Array.isArray(e))return function e(t,r){if(Array.isArray(t)){for(var n="[",i=t.length,a=0;a<i;a++)0!==a&&(n+=", "),n+=e(t[a],r);return n+="]"}return xe(t,r)}(e,t);if(l(e))return'"'+e+'"';if("function"==typeof e)return e.syntax?String(e.syntax):"function";if(e&&"object"===a()(e)){return"function"==typeof e.format?e.format(t):e&&e.toString(t)!=={}.toString()?e.toString(t):"{"+Object.keys(e).map((function(r){return'"'+r+'": '+xe(e[r],t)})).join(", ")+"}"}return String(e)}(e,t);return t&&"object"===a()(t)&&"truncate"in t&&r.length>t.truncate?r.substring(0,t.truncate-3)+"...":r}function be(e){for(var t=String(e),r="",n=0;n<t.length;){var i=t.charAt(n);"\\"===i?(r+=i,n++,""!==(i=t.charAt(n))&&-1!=='"\\/bfnrtu'.indexOf(i)||(r+="\\"),r+=i):r+='"'===i?'\\"':i,n++}return'"'+r+'"'}function we(e){var t=String(e);return t=t.replace(/&/g,"&").replace(/"/g,""").replace(/'/g,"'").replace(/</g,"<").replace(/>/g,">")}function Ne(e,t){if(!l(e))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+H(e)+", index: 0)");if(!l(t))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+H(t)+", index: 1)");return e===t?0:e>t?1:-1}function Me(e,t,r){if(!(this instanceof Me))throw new SyntaxError("Constructor must be called with the new operator");this.actual=e,this.expected=t,this.relation=r,this.message="Dimension mismatch ("+(Array.isArray(e)?"["+e.join(", ")+"]":e)+" "+(this.relation||"!=")+" "+(Array.isArray(t)?"["+t.join(", ")+"]":t)+")",this.stack=(new Error).stack}function Ee(e,t,r){if(!(this instanceof Ee))throw new SyntaxError("Constructor must be called with the new operator");this.index=e,arguments.length<3?(this.min=0,this.max=t):(this.min=t,this.max=r),void 0!==this.min&&this.index<this.min?this.message="Index out of range ("+this.index+" < "+this.min+")":void 0!==this.max&&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}function Se(e){for(var t=[];Array.isArray(e);)t.push(e.length),e=e[0];return t}function Ae(e,t){if(0===t.length){if(Array.isArray(e))throw new Me(e.length,0)}else!function e(t,r,n){var i,a=t.length;if(a!==r[n])throw new Me(a,r[n]);if(n<r.length-1){var o=n+1;for(i=0;i<a;i++){var s=t[i];if(!Array.isArray(s))throw new Me(r.length-1,r.length,"<");e(t[i],r,o)}}else for(i=0;i<a;i++)if(Array.isArray(t[i]))throw new Me(r.length+1,r.length,">")}(e,t,0)}function Oe(e,t){if(!o(e)||!Z(e))throw new TypeError("Index must be an integer (value: "+e+")");if(e<0||"number"==typeof t&&e>=t)throw new Ee(e,t)}function Ce(e,t,r){if(!Array.isArray(e)||!Array.isArray(t))throw new TypeError("Array expected");if(0===t.length)throw new Error("Resizing to scalar is not supported");return t.forEach((function(e){if(!o(e)||!Z(e)||e<0)throw new TypeError("Invalid size, must contain positive integers (size: "+xe(t)+")")})),function e(t,r,n,i){var a,o,s=t.length,u=r[n],c=Math.min(s,u);if(t.length=u,n<r.length-1){var f=n+1;for(a=0;a<c;a++)o=t[a],Array.isArray(o)||(o=[o],t[a]=o),e(o,r,f,i);for(a=c;a<u;a++)o=[],t[a]=o,e(o,r,f,i)}else{for(a=0;a<c;a++)for(;Array.isArray(t[a]);)t[a]=t[a][0];for(a=c;a<u;a++)t[a]=i}}(e,t,0,void 0!==r?r:0),e}function Te(e,t){var r=Re(e),n=r.length;if(!Array.isArray(e)||!Array.isArray(t))throw new TypeError("Array expected");if(0===t.length)throw new Me(0,n,"!=");var i=Ie(t=_e(t,n));if(n!==i)throw new Me(i,n,"!=");try{return function(e,t){for(var r,n=e,i=t.length-1;i>0;i--){var a=t[i];r=[];for(var o=n.length/a,s=0;s<o;s++)r.push(n.slice(s*a,(s+1)*a));n=r}return n}(r,t)}catch(e){if(e instanceof Me)throw new Me(i,n,"!=");throw e}}function _e(e,t){var r=Ie(e),n=e.slice(),i=e.indexOf(-1);if(e.indexOf(-1,i+1)>=0)throw new Error("More than one wildcard in sizes");if(i>=0){if(!(t%r==0))throw new Error("Could not replace wildcard, since "+t+" is no multiple of "+-r);n[i]=-t/r}return n}function Ie(e){return e.reduce((function(e,t){return e*t}),1)}function ke(e,t){for(var r=t||Se(e);Array.isArray(e)&&1===e.length;)e=e[0],r.shift();for(var n=r.length;1===r[n-1];)n--;return n<r.length&&(e=function e(t,r,n){var i,a;if(n<r){var o=n+1;for(i=0,a=t.length;i<a;i++)t[i]=e(t[i],r,o)}else for(;Array.isArray(t);)t=t[0];return t}(e,n,0),r.length=n),e}function ze(e,t,r,n){var i=n||Se(e);if(r)for(var a=0;a<r;a++)e=[e],i.unshift(1);for(e=function e(t,r,n){var i,a;if(Array.isArray(t)){var o=n+1;for(i=0,a=t.length;i<a;i++)t[i]=e(t[i],r,o)}else for(var s=n;s<r;s++)t=[t];return t}(e,t,0);i.length<t;)i.push(1);return e}function Re(e){if(!Array.isArray(e))return e;var t=[];return e.forEach((function e(r){Array.isArray(r)?r.forEach(e):t.push(r)})),t}function qe(e,t){return Array.prototype.map.call(e,t)}function Be(e,t){Array.prototype.forEach.call(e,t)}function De(e,t){if(1!==Se(e).length)throw new Error("Only one dimensional matrices supported");return Array.prototype.filter.call(e,t)}function je(e,t){if(1!==Se(e).length)throw new Error("Only one dimensional matrices supported");return Array.prototype.filter.call(e,(function(e){return t.test(e)}))}function Pe(e,t){return Array.prototype.join.call(e,t)}function Fe(e){if(!Array.isArray(e))throw new TypeError("Array input expected");if(0===e.length)return e;var t=[],r=0;t[0]={value:e[0],identifier:0};for(var n=1;n<e.length;n++)e[n]===e[n-1]?r++:r=0,t.push({value:e[n],identifier:r});return t}function Ue(e){if(!Array.isArray(e))throw new TypeError("Array input expected");if(0===e.length)return e;for(var t=[],r=0;r<e.length;r++)t.push(e[r].value);return t}function Le(e,t){for(var r,n=0,i=0;i<e.length;i++){var a=e[i],o=Array.isArray(a);if(0===i&&o&&(n=a.length),o&&a.length!==n)return;var s=o?Le(a,t):t(a);if(void 0===r)r=s;else if(r!==s)return"mixed"}return r}function $e(e,t){return-1!==e.indexOf(t)}function He(e){var t=a()(e);if("number"===t||"string"===t||"boolean"===t||null==e)return e;if("function"==typeof e.clone)return e.clone();if(Array.isArray(e))return e.map((function(e){return He(e)}));if(e instanceof Date)return new Date(e.valueOf());if(s(e))return e;if(e instanceof RegExp)throw new TypeError("Cannot clone "+e);return Ge(e,He)}function Ge(e,t){var r={};for(var n in e)Je(e,n)&&(r[n]=t(e[n]));return r}function Ve(e,t){for(var r in t)Je(t,r)&&(e[r]=t[r]);return e}function Ze(e,t){var r,n,i;if(Array.isArray(e)){if(!Array.isArray(t))return!1;if(e.length!==t.length)return!1;for(n=0,i=e.length;n<i;n++)if(!Ze(e[n],t[n]))return!1;return!0}if("function"==typeof e)return e===t;if(e instanceof Object){if(Array.isArray(t)||!(t instanceof Object))return!1;for(r in e)if(!(r in t)||!Ze(e[r],t[r]))return!1;for(r in t)if(!(r in e))return!1;return!0}return e===t}function We(e){var t={};return function e(t,r){for(var n in t)if(Je(t,n)){var i=t[n];"object"===a()(i)&&null!==i?e(i,r):r[n]=i}}(e,t),t}function Ye(e,t,r){var n,i=!0;Object.defineProperty(e,t,{get:function(){return i&&(n=r(),i=!1),n},set:function(e){n=e,i=!1},configurable:!0,enumerable:!0})}function Je(e,t){return e&&Object.hasOwnProperty.call(e,t)}function Xe(e){return Object.keys(e).map((function(t){return e[t]}))}function Qe(e,t,r,n){function i(n){var i=function(e,t){for(var r={},n=0;n<t.length;n++){var i=t[n],a=e[i];void 0!==a&&(r[i]=a)}return r}(n,t.map(et));return function(e,t,r){if(!t.filter((function(e){return!function(e){return e&&"?"===e[0]}(e)})).every((function(e){return void 0!==r[e]}))){var n=t.filter((function(e){return void 0===r[e]}));throw new Error('Cannot create function "'.concat(e,'", ')+"some dependencies are missing: ".concat(n.map((function(e){return'"'.concat(e,'"')})).join(", "),"."))}}(e,t,n),r(i)}return i.isFactory=!0,i.fn=e,i.dependencies=t.slice().sort(),n&&(i.meta=n),i}function Ke(e){return"function"==typeof e&&"string"==typeof e.fn&&Array.isArray(e.dependencies)}function et(e){return e&&"?"===e[0]?e.slice(1):e}Me.prototype=new RangeError,Me.prototype.constructor=RangeError,Me.prototype.name="DimensionError",Me.prototype.isDimensionError=!0,Ee.prototype=new RangeError,Ee.prototype.constructor=RangeError,Ee.prototype.name="IndexError",Ee.prototype.isIndexError=!0;var tt=r(193),rt=r.n(tt),nt=r(194),it=r.n(nt);r(27),r(172),r(43),r(31),r(62),r(44),r(52),r(56);function at(e,t){if(ct(e)&&st(e,t))return e[t];if("function"==typeof e[t]&&ut(e,t))throw new Error('Cannot access method "'+t+'" as a property');throw new Error('No access to property "'+t+'"')}function ot(e,t,r){if(ct(e)&&st(e,t))return e[t]=r,r;throw new Error('No access to property "'+t+'"')}function st(e,t){return!(!e||"object"!==a()(e))&&(!!Je(ft,t)||!(t in Object.prototype)&&!(t in Function.prototype))}function ut(e,t){return null!=e&&"function"==typeof e[t]&&(!(Je(e,t)&&Object.getPrototypeOf&&t in Object.getPrototypeOf(e))&&(!!Je(lt,t)||!(t in Object.prototype)&&!(t in Function.prototype)))}function ct(e){return"object"===a()(e)&&e&&e.constructor===Object}var ft={length:!0,name:!0},lt={toString:!0,valueOf:!0,toLocaleString:!0};function pt(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(!e)return;if("string"==typeof e)return mt(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return mt(e,t)}(e))||t&&e&&"number"==typeof e.length){r&&(e=r);var n=0,i=function(){};return{s:i,n:function(){return n>=e.length?{done:!0}:{done:!1,value:e[n++]}},e:function(e){throw e},f:i}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var a,o=!0,s=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){s=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(s)throw a}}}}function mt(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}var ht=function(){function e(t){rt()(this,e),this.wrappedObject=t}return it()(e,[{key:"keys",value:function(){return Object.keys(this.wrappedObject)}},{key:"get",value:function(e){return at(this.wrappedObject,e)}},{key:"set",value:function(e,t){return ot(this.wrappedObject,e,t),this}},{key:"has",value:function(e){return t=this.wrappedObject,e in t;var t}}]),e}();function dt(){return new Map}function vt(e){if(!e)return dt();if(yt(e))return e;if(S(e))return new ht(e);throw new Error("createMap can create maps from objects or Maps")}function yt(e){return!!e&&(e instanceof Map||e instanceof ht||"function"==typeof e.set&&"function"==typeof e.get&&"function"==typeof e.keys&&"function"==typeof e.has)}function gt(e){for(var t=arguments.length,r=new Array(t>1?t-1:0),n=1;n<t;n++)r[n-1]=arguments[n];for(var i=0,a=r;i<a.length;i++){var o=a[i];if(o)if(yt(o)){var s,u=pt(o.keys());try{for(u.s();!(s=u.n()).done;){var c=s.value;e.set(c,o.get(c))}}catch(e){u.e(e)}finally{u.f()}}else if(S(o))for(var f=0,l=Object.keys(o);f<l.length;f++){var p=l[f];e.set(p,o[p])}}return e}var xt=function(){return xt=V.a.create,V.a},bt=Qe("typed",["?BigNumber","?Complex","?DenseMatrix","?Fraction"],(function(e){var t=e.BigNumber,r=e.Complex,n=e.DenseMatrix,i=e.Fraction,a=xt();return a.types=[{name:"number",test:o},{name:"Complex",test:u},{name:"BigNumber",test:s},{name:"Fraction",test:c},{name:"Unit",test:f},{name:"string",test:l},{name:"Chain",test:$},{name:"Array",test:p},{name:"Matrix",test:m},{name:"DenseMatrix",test:d},{name:"SparseMatrix",test:v},{name:"Range",test:y},{name:"Index",test:g},{name:"boolean",test:x},{name:"ResultSet",test:b},{name:"Help",test:w},{name:"function",test:N},{name:"Date",test:M},{name:"RegExp",test:E},{name:"null",test:A},{name:"undefined",test:O},{name:"AccessorNode",test:C},{name:"ArrayNode",test:T},{name:"AssignmentNode",test:_},{name:"BlockNode",test:I},{name:"ConditionalNode",test:k},{name:"ConstantNode",test:z},{name:"FunctionNode",test:q},{name:"FunctionAssignmentNode",test:R},{name:"IndexNode",test:B},{name:"Node",test:D},{name:"ObjectNode",test:j},{name:"OperatorNode",test:P},{name:"ParenthesisNode",test:F},{name:"RangeNode",test:U},{name:"SymbolNode",test:L},{name:"Map",test:yt},{name:"Object",test:S}],a.conversions=[{from:"number",to:"BigNumber",convert:function(e){if(t||wt(e),e.toExponential().replace(/e.*$/,"").replace(/^0\.?0*|\./,"").length>15)throw new TypeError("Cannot implicitly convert a number with >15 significant digits to BigNumber (value: "+e+"). Use function bignumber(x) to convert to BigNumber.");return new t(e)}},{from:"number",to:"Complex",convert:function(e){return r||Nt(e),new r(e,0)}},{from:"number",to:"string",convert:function(e){return e+""}},{from:"BigNumber",to:"Complex",convert:function(e){return r||Nt(e),new r(e.toNumber(),0)}},{from:"Fraction",to:"BigNumber",convert:function(e){throw new TypeError("Cannot implicitly convert a Fraction to BigNumber or vice versa. Use function bignumber(x) to convert to BigNumber or fraction(x) to convert to Fraction.")}},{from:"Fraction",to:"Complex",convert:function(e){return r||Nt(e),new r(e.valueOf(),0)}},{from:"number",to:"Fraction",convert:function(e){i||Mt(e);var t=new i(e);if(t.valueOf()!==e)throw new TypeError("Cannot implicitly convert a number to a Fraction when there will be a loss of precision (value: "+e+"). Use function fraction(x) to convert to Fraction.");return t}},{from:"string",to:"number",convert:function(e){var t=Number(e);if(isNaN(t))throw new Error('Cannot convert "'+e+'" to a number');return t}},{from:"string",to:"BigNumber",convert:function(e){t||wt(e);try{return new t(e)}catch(t){throw new Error('Cannot convert "'+e+'" to BigNumber')}}},{from:"string",to:"Fraction",convert:function(e){i||Mt(e);try{return new i(e)}catch(t){throw new Error('Cannot convert "'+e+'" to Fraction')}}},{from:"string",to:"Complex",convert:function(e){r||Nt(e);try{return new r(e)}catch(t){throw new Error('Cannot convert "'+e+'" to Complex')}}},{from:"boolean",to:"number",convert:function(e){return+e}},{from:"boolean",to:"BigNumber",convert:function(e){return t||wt(e),new t(+e)}},{from:"boolean",to:"Fraction",convert:function(e){return i||Mt(e),new i(+e)}},{from:"boolean",to:"string",convert:function(e){return String(e)}},{from:"Array",to:"Matrix",convert:function(e){return n||function(){throw new Error("Cannot convert array into a Matrix: no class 'DenseMatrix' provided")}(),new n(e)}},{from:"Matrix",to:"Array",convert:function(e){return e.valueOf()}}],a}));function wt(e){throw new Error("Cannot convert value ".concat(e," into a BigNumber: no class 'BigNumber' provided"))}function Nt(e){throw new Error("Cannot convert value ".concat(e," into a Complex number: no class 'Complex' provided"))}function Mt(e){throw new Error("Cannot convert value ".concat(e," into a Fraction, no class 'Fraction' provided."))}r(14);var Et=Qe("ResultSet",[],(function(){function e(t){if(!(this instanceof e))throw new SyntaxError("Constructor must be called with the new operator");this.entries=t||[]}return e.prototype.type="ResultSet",e.prototype.isResultSet=!0,e.prototype.valueOf=function(){return this.entries},e.prototype.toString=function(){return"["+this.entries.join(", ")+"]"},e.prototype.toJSON=function(){return{mathjs:"ResultSet",entries:this.entries}},e.fromJSON=function(t){return new e(t.entries)},e}),{isClass:!0}),St=r(63),At=r.n(St),Ot=Qe("BigNumber",["?on","config"],(function(e){var t=e.on,r=e.config,n=At.a.clone({precision:r.precision,modulo:At.a.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(e){return new n(e.value)},t&&t("config",(function(e,t){e.precision!==t.precision&&n.config({precision:e.precision})})),n}),{isClass:!0}),Ct=r(33),Tt=r.n(Ct),_t=Qe("Complex",[],(function(){return Tt.a.prototype.type="Complex",Tt.a.prototype.isComplex=!0,Tt.a.prototype.toJSON=function(){return{mathjs:"Complex",re:this.re,im:this.im}},Tt.a.prototype.toPolar=function(){return{r:this.abs(),phi:this.arg()}},Tt.a.prototype.format=function(e){var t=this.im,r=this.re,n=te(this.re,e),i=te(this.im,e),a=o(e)?e:e?e.precision:null;if(null!==a){var s=Math.pow(10,-a);Math.abs(r/t)<s&&(r=0),Math.abs(t/r)<s&&(t=0)}return 0===t?n:0===r?1===t?"i":-1===t?"-i":i+"i":t<0?-1===t?n+" - i":n+" - "+i.substring(1)+"i":1===t?n+" + i":n+" + "+i+"i"},Tt.a.fromPolar=function(e){switch(arguments.length){case 1:var t=arguments[0];if("object"===a()(t))return Tt()(t);throw new TypeError("Input has to be an object with r and phi keys.");case 2:var r=arguments[0],n=arguments[1];if(o(r)){if(f(n)&&n.hasBase("ANGLE")&&(n=n.toNumber("rad")),o(n))return new Tt.a({r:r,phi:n});throw new TypeError("Phi is not a number nor an angle unit.")}throw new TypeError("Radius r is not a number.");default:throw new SyntaxError("Wrong number of arguments in function fromPolar")}},Tt.a.prototype.valueOf=Tt.a.prototype.toString,Tt.a.fromJSON=function(e){return new Tt.a(e)},Tt.a.compare=function(e,t){return e.re>t.re?1:e.re<t.re?-1:e.im>t.im?1:e.im<t.im?-1:0},Tt.a}),{isClass:!0}),It=r(64),kt=r.n(It),zt=Qe("Fraction",[],(function(){return kt.a.prototype.type="Fraction",kt.a.prototype.isFraction=!0,kt.a.prototype.toJSON=function(){return{mathjs:"Fraction",n:this.s*this.n,d:this.d}},kt.a.fromJSON=function(e){return new kt.a(e)},kt.a}),{isClass:!0}),Rt=(r(11),Qe("Range",[],(function(){function e(t,r,n){if(!(this instanceof e))throw new SyntaxError("Constructor must be called with the new operator");var i=null!=t,a=null!=r,o=null!=n;if(i)if(s(t))t=t.toNumber();else if("number"!=typeof t)throw new TypeError("Parameter start must be a number");if(a)if(s(r))r=r.toNumber();else if("number"!=typeof r)throw new TypeError("Parameter end must be a number");if(o)if(s(n))n=n.toNumber();else if("number"!=typeof n)throw new TypeError("Parameter step must be a number");this.start=i?parseFloat(t):0,this.end=a?parseFloat(r):0,this.step=o?parseFloat(n):1}return e.prototype.type="Range",e.prototype.isRange=!0,e.parse=function(t){if("string"!=typeof t)return null;var r=t.split(":").map((function(e){return parseFloat(e)}));if(r.some((function(e){return isNaN(e)})))return null;switch(r.length){case 2:return new e(r[0],r[1]);case 3:return new e(r[0],r[2],r[1]);default:return null}},e.prototype.clone=function(){return new e(this.start,this.end,this.step)},e.prototype.size=function(){var e=0,t=this.start,r=this.step,n=this.end-t;return W(r)===W(n)?e=Math.ceil(n/r):0===n&&(e=0),isNaN(e)&&(e=0),[e]},e.prototype.min=function(){var e=this.size()[0];return e>0?this.step>0?this.start:this.start+(e-1)*this.step:void 0},e.prototype.max=function(){var e=this.size()[0];return e>0?this.step>0?this.start+(e-1)*this.step:this.start:void 0},e.prototype.forEach=function(e){var t=this.start,r=this.step,n=this.end,i=0;if(r>0)for(;t<n;)e(t,[i],this),t+=r,i++;else if(r<0)for(;t>n;)e(t,[i],this),t+=r,i++},e.prototype.map=function(e){var t=[];return this.forEach((function(r,n,i){t[n[0]]=e(r,n,i)})),t},e.prototype.toArray=function(){var e=[];return this.forEach((function(t,r){e[r[0]]=t})),e},e.prototype.valueOf=function(){return this.toArray()},e.prototype.format=function(e){var t=te(this.start,e);return 1!==this.step&&(t+=":"+te(this.step,e)),t+=":"+te(this.end,e)},e.prototype.toString=function(){return this.format()},e.prototype.toJSON=function(){return{mathjs:"Range",start:this.start,end:this.end,step:this.step}},e.fromJSON=function(t){return new e(t.start,t.end,t.step)},e}),{isClass:!0})),qt=Qe("Matrix",[],(function(){function e(){if(!(this instanceof e))throw new SyntaxError("Constructor must be called with the new operator")}return e.prototype.type="Matrix",e.prototype.isMatrix=!0,e.prototype.storage=function(){throw new Error("Cannot invoke storage on a Matrix interface")},e.prototype.datatype=function(){throw new Error("Cannot invoke datatype on a Matrix interface")},e.prototype.create=function(e,t){throw new Error("Cannot invoke create on a Matrix interface")},e.prototype.subset=function(e,t,r){throw new Error("Cannot invoke subset on a Matrix interface")},e.prototype.get=function(e){throw new Error("Cannot invoke get on a Matrix interface")},e.prototype.set=function(e,t,r){throw new Error("Cannot invoke set on a Matrix interface")},e.prototype.resize=function(e,t){throw new Error("Cannot invoke resize on a Matrix interface")},e.prototype.reshape=function(e,t){throw new Error("Cannot invoke reshape on a Matrix interface")},e.prototype.clone=function(){throw new Error("Cannot invoke clone on a Matrix interface")},e.prototype.size=function(){throw new Error("Cannot invoke size on a Matrix interface")},e.prototype.map=function(e,t){throw new Error("Cannot invoke map on a Matrix interface")},e.prototype.forEach=function(e){throw new Error("Cannot invoke forEach on a Matrix interface")},e.prototype[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(e){throw new Error("Cannot invoke format on a Matrix interface")},e.prototype.toString=function(){throw new Error("Cannot invoke toString on a Matrix interface")},e}),{isClass:!0}),Bt=r(58),Dt=r.n(Bt);function jt(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(!e)return;if("string"==typeof e)return Pt(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return Pt(e,t)}(e))||t&&e&&"number"==typeof e.length){r&&(e=r);var n=0,i=function(){};return{s:i,n:function(){return n>=e.length?{done:!0}:{done:!1,value:e[n++]}},e:function(e){throw e},f:i}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var a,o=!0,s=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){s=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(s)throw a}}}}function Pt(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}var Ft=Qe("DenseMatrix",["Matrix"],(function(e){var t=e.Matrix;function r(e,t){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!l(t))throw new Error("Invalid datatype: "+t);if(m(e))"DenseMatrix"===e.type?(this._data=He(e._data),this._size=He(e._size),this._datatype=t||e._datatype):(this._data=e.toArray(),this._size=e.size(),this._datatype=t||e._datatype);else if(e&&p(e.data)&&p(e.size))this._data=e.data,this._size=e.size,Ae(this._data,this._size),this._datatype=t||e.datatype;else if(p(e))this._data=function e(t){for(var r=0,n=t.length;r<n;r++){var i=t[r];p(i)?t[r]=e(i):i&&!0===i.isMatrix&&(t[r]=e(i.valueOf()))}return t}(e),this._size=Se(this._data),Ae(this._data,this._size),this._datatype=t;else{if(e)throw new TypeError("Unsupported type of data ("+H(e)+")");this._data=[],this._size=[0],this._datatype=t}}function n(e,t){if(!g(t))throw new TypeError("Invalid index");if(t.isScalar())return e.get(t.min());var n=t.size();if(n.length!==e._size.length)throw new Me(n.length,e._size.length);for(var i=t.min(),a=t.max(),o=0,s=e._size.length;o<s;o++)Oe(i[o],e._size[o]),Oe(a[o],e._size[o]);return new r(function e(t,r,n,i){var a=i===n-1,o=r.dimension(i);return a?o.map((function(e){return Oe(e,t.length),t[e]})).valueOf():o.map((function(a){Oe(a,t.length);var o=t[a];return e(o,r,n,i+1)})).valueOf()}(e._data,t,n.length,0),e._datatype)}function i(e,t,r,n){if(!t||!0!==t.isIndex)throw new TypeError("Invalid index");var i,a=t.size(),o=t.isScalar();if(m(r)?(i=r.size(),r=r.valueOf()):i=Se(r),o){if(0!==i.length)throw new TypeError("Scalar expected");e.set(t.min(),r,n)}else{if(a.length<e._size.length)throw new Me(a.length,e._size.length,"<");if(i.length<a.length){for(var s=0,c=0;1===a[s]&&1===i[s];)s++;for(;1===a[s];)c++,s++;r=ze(r,a.length,c,i)}if(!Ze(a,i))throw new Me(a,i,">");u(e,t.max().map((function(e){return e+1})),n);var f=a.length;!function e(t,r,n,i,a){var o=a===i-1,s=r.dimension(a);o?s.forEach((function(e,r){Oe(e),t[e]=n[r[0]]})):s.forEach((function(o,s){Oe(o),e(t[o],r,n[s[0]],i,a+1)}))}(e._data,t,r,f,0)}return e}function a(e,t,r){if(0===t.length){for(var n=e._data;p(n);)n=n[0];return n}return e._size=t.slice(0),e._data=Ce(e._data,e._size,r),e}function u(e,t,r){for(var n=e._size.slice(0),i=!1;n.length<t.length;)n.push(0),i=!0;for(var o=0,s=t.length;o<s;o++)t[o]>n[o]&&(n[o]=t[o],i=!0);i&&a(e,n,r)}return r.prototype=new t,r.prototype.createDenseMatrix=function(e,t){return new r(e,t)},r.prototype.type="DenseMatrix",r.prototype.isDenseMatrix=!0,r.prototype.getDataType=function(){return Le(this._data,H)},r.prototype.storage=function(){return"dense"},r.prototype.datatype=function(){return this._datatype},r.prototype.create=function(e,t){return new r(e,t)},r.prototype.subset=function(e,t,r){switch(arguments.length){case 1:return n(this,e);case 2:case 3:return i(this,e,t,r);default:throw new SyntaxError("Wrong number of arguments")}},r.prototype.get=function(e){if(!p(e))throw new TypeError("Array expected");if(e.length!==this._size.length)throw new Me(e.length,this._size.length);for(var t=0;t<e.length;t++)Oe(e[t],this._size[t]);for(var r=this._data,n=0,i=e.length;n<i;n++){var a=e[n];Oe(a,r.length),r=r[a]}return r},r.prototype.set=function(e,t,r){if(!p(e))throw new TypeError("Array expected");if(e.length<this._size.length)throw new Me(e.length,this._size.length,"<");var n,i,a;u(this,e.map((function(e){return e+1})),r);var o=this._data;for(n=0,i=e.length-1;n<i;n++)Oe(a=e[n],o.length),o=o[a];return Oe(a=e[e.length-1],o.length),o[a]=t,this},r.prototype.resize=function(e,t,r){if(!h(e))throw new TypeError("Array or Matrix expected");var n=e.valueOf().map((function(e){return Array.isArray(e)&&1===e.length?e[0]:e}));return a(r?this.clone():this,n,t)},r.prototype.reshape=function(e,t){var r=t?this.clone():this;r._data=Te(r._data,e);var n=r._size.reduce((function(e,t){return e*t}));return r._size=_e(e,n),r},r.prototype.clone=function(){return new r({data:He(this._data),size:He(this._size),datatype:this._datatype})},r.prototype.size=function(){return this._size.slice(0)},r.prototype.map=function(e){var t=this,n=function r(n,i){return p(n)?n.map((function(e,t){return r(e,i.concat(t))})):e(n,i,t)}(this._data,[]);return new r(n,void 0!==this._datatype?Le(n,H):void 0)},r.prototype.forEach=function(e){var t=this;!function r(n,i){p(n)?n.forEach((function(e,t){r(e,i.concat(t))})):e(n,i,t)}(this._data,[])},r.prototype[Symbol.iterator]=Dt.a.mark((function e(){var t;return Dt.a.wrap((function(e){for(;;)switch(e.prev=e.next){case 0:return t=Dt.a.mark((function e(t,r){var n;return Dt.a.wrap((function(i){for(;;)switch(i.prev=i.next){case 0:if(!p(t)){i.next=9;break}n=0;case 2:if(!(n<t.length)){i.next=7;break}return i.delegateYield(e(t[n],r.concat(n)),"t0",4);case 4:n++,i.next=2;break;case 7:i.next=11;break;case 9:return i.next=11,{value:t,index:r};case 11:case"end":return i.stop()}}),e)})),e.delegateYield(t(this._data,[]),"t0",2);case 2:case"end":return e.stop()}}),e,this)})),r.prototype.rows=function(){var e=[];if(2!==this.size().length)throw new TypeError("Rows can only be returned for a 2D matrix.");var t,n=jt(this._data);try{for(n.s();!(t=n.n()).done;){var i=t.value;e.push(new r([i],this._datatype))}}catch(e){n.e(e)}finally{n.f()}return e},r.prototype.columns=function(){var e=this,t=[],n=this.size();if(2!==n.length)throw new TypeError("Rows can only be returned for a 2D matrix.");for(var i=this._data,a=function(n){var a=i.map((function(e){return[e[n]]}));t.push(new r(a,e._datatype))},o=0;o<n[1];o++)a(o);return t},r.prototype.toArray=function(){return He(this._data)},r.prototype.valueOf=function(){return this._data},r.prototype.format=function(e){return xe(this._data,e)},r.prototype.toString=function(){return xe(this._data)},r.prototype.toJSON=function(){return{mathjs:"DenseMatrix",data:this._data,size:this._size,datatype:this._datatype}},r.prototype.diagonal=function(e){if(e){if(s(e)&&(e=e.toNumber()),!o(e)||!Z(e))throw new TypeError("The parameter k must be an integer number")}else e=0;for(var t=e>0?e:0,n=e<0?-e:0,i=this._size[0],a=this._size[1],u=Math.min(i-n,a-t),c=[],f=0;f<u;f++)c[f]=this._data[f+n][f+t];return new r({data:c,size:[u],datatype:this._datatype})},r.diagonal=function(e,t,n,i){if(!p(e))throw new TypeError("Array expected, size parameter");if(2!==e.length)throw new Error("Only two dimensions matrix are supported");if(e=e.map((function(e){if(s(e)&&(e=e.toNumber()),!o(e)||!Z(e)||e<1)throw new Error("Size values must be positive integers");return e})),n){if(s(n)&&(n=n.toNumber()),!o(n)||!Z(n))throw new TypeError("The parameter k must be an integer number")}else n=0;var a,u=n>0?n:0,c=n<0?-n:0,f=e[0],l=e[1],h=Math.min(f-c,l-u);if(p(t)){if(t.length!==h)throw new Error("Invalid value array length");a=function(e){return t[e]}}else if(m(t)){var d=t.size();if(1!==d.length||d[0]!==h)throw new Error("Invalid matrix length");a=function(e){return t.get([e])}}else a=function(){return t};i||(i=s(a(0))?a(0).mul(0):0);var v=[];if(e.length>0){v=Ce(v,e,i);for(var y=0;y<h;y++)v[y+c][y+u]=a(y)}return new r({data:v,size:[f,l]})},r.fromJSON=function(e){return new r(e)},r.prototype.swapRows=function(e,t){if(!(o(e)&&Z(e)&&o(t)&&Z(t)))throw new Error("Row index must be positive integers");if(2!==this._size.length)throw new Error("Only two dimensional matrix is supported");return Oe(e,this._size[0]),Oe(t,this._size[0]),r._swapRows(e,t,this._data),this},r._swapRows=function(e,t,r){var n=r[e];r[e]=r[t],r[t]=n},r}),{isClass:!0}),Ut=Qe("clone",["typed"],(function(e){return(0,e.typed)("clone",{any:He})}));function Lt(e){var t,r,n=e.length,i=e[0].length,a=[];for(r=0;r<i;r++){var o=[];for(t=0;t<n;t++)o.push(e[t][r]);a.push(o)}return a}function $t(e){for(var t=0;t<e.length;t++)if(h(e[t]))return!0;return!1}function Ht(e,t){m(e)&&(e=e.valueOf());for(var r=0,n=e.length;r<n;r++){var i=e[r];Array.isArray(i)?Ht(i,t):t(i)}}function Gt(e,t,r){return e&&"function"==typeof e.map?e.map((function(e){return Gt(e,t,r)})):t(e)}function Vt(e,t,r){var n=Array.isArray(e)?Se(e):e.size();if(t<0||t>=n.length)throw new Ee(t,n.length);return m(e)?e.create(Zt(e.valueOf(),t,r)):Zt(e,t,r)}function Zt(e,t,r){var n,i,a,o;if(t<=0){if(Array.isArray(e[0])){for(o=Lt(e),i=[],n=0;n<o.length;n++)i[n]=Zt(o[n],t-1,r);return i}for(a=e[0],n=1;n<e.length;n++)a=r(a,e[n]);return a}for(i=[],n=0;n<e.length;n++)i[n]=Zt(e[n],t-1,r);return i}function Wt(e,t,r,n,i,a,o,s,u,c,f){var l,p,m,h,d=e._values,v=e._index,y=e._ptr;if(n)for(p=y[t],m=y[t+1],l=p;l<m;l++)r[h=v[l]]!==a?(r[h]=a,o.push(h),c?(n[h]=u?s(d[l],f):s(f,d[l]),i[h]=a):n[h]=d[l]):(n[h]=u?s(d[l],n[h]):s(n[h],d[l]),i[h]=a);else for(p=y[t],m=y[t+1],l=p;l<m;l++)r[h=v[l]]!==a?(r[h]=a,o.push(h)):i[h]=a}var Yt=Qe("isInteger",["typed"],(function(e){return(0,e.typed)("isInteger",{number:Z,BigNumber:function(e){return e.isInt()},Fraction:function(e){return 1===e.d&&isFinite(e.n)},"Array | Matrix":function(e){return Gt(e,this)}})}));r(186);function Jt(e){return e<0}function Xt(e){return e>0}function Qt(e){return 0===e}function Kt(e){return Number.isNaN(e)}Jt.signature="number",Xt.signature="number",Qt.signature="number",Kt.signature="number";var er=Qe("isNegative",["typed"],(function(e){return(0,e.typed)("isNegative",{number:Jt,BigNumber:function(e){return e.isNeg()&&!e.isZero()&&!e.isNaN()},Fraction:function(e){return e.s<0},Unit:function(e){return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),tr=Qe("isNumeric",["typed"],(function(e){return(0,e.typed)("isNumeric",{"number | BigNumber | Fraction | boolean":function(){return!0},"Complex | Unit | string | null | undefined | Node":function(){return!1},"Array | Matrix":function(e){return Gt(e,this)}})})),rr=(r(255),Qe("hasNumericValue",["typed","isNumeric"],(function(e){var t=e.typed,r=e.isNumeric;return t("hasNumericValue",{string:function(e){return e.trim().length>0&&!isNaN(Number(e))},any:function(e){return r(e)}})}))),nr=Qe("isPositive",["typed"],(function(e){return(0,e.typed)("isPositive",{number:Xt,BigNumber:function(e){return!e.isNeg()&&!e.isZero()&&!e.isNaN()},Fraction:function(e){return e.s>0&&e.n>0},Unit:function(e){return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),ir=Qe("isZero",["typed"],(function(e){return(0,e.typed)("isZero",{number:Qt,BigNumber:function(e){return e.isZero()},Complex:function(e){return 0===e.re&&0===e.im},Fraction:function(e){return 1===e.d&&0===e.n},Unit:function(e){return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),ar=Qe("isNaN",["typed"],(function(e){return(0,e.typed)("isNaN",{number:Kt,BigNumber:function(e){return e.isNaN()},Fraction:function(e){return!1},Complex:function(e){return e.isNaN()},Unit:function(e){return Number.isNaN(e.value)},"Array | Matrix":function(e){return Gt(e,Number.isNaN)}})})),or=Qe("typeOf",["typed"],(function(e){return(0,e.typed)("typeOf",{any:H})}));function sr(e,t,r){if(null==r)return e.eq(t);if(e.eq(t))return!0;if(e.isNaN()||t.isNaN())return!1;if(e.isFinite()&&t.isFinite()){var n=e.minus(t).abs();if(n.isZero())return!0;var i=e.constructor.max(e.abs(),t.abs());return n.lte(i.times(r))}return!1}var ur=Qe("equalScalar",["typed","config"],(function(e){var t=e.typed,r=e.config;return t("equalScalar",{"boolean, boolean":function(e,t){return e===t},"number, number":function(e,t){return ue(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.eq(t)||sr(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return e.equals(t)},"Complex, Complex":function(e,t){return function(e,t,r){return ue(e.re,t.re,r)&&ue(e.im,t.im,r)}(e,t,r.epsilon)},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return this(e.value,t.value)}})})),cr=(Qe("equalScalar",["typed","config"],(function(e){var t=e.typed,r=e.config;return t("equalScalar",{"number, number":function(e,t){return ue(e,t,r.epsilon)}})})),r(26),Qe("SparseMatrix",["typed","equalScalar","Matrix"],(function(e){var t=e.typed,r=e.equalScalar,n=e.Matrix;function i(e,t){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!l(t))throw new Error("Invalid datatype: "+t);if(m(e))!function(e,t,r){"SparseMatrix"===t.type?(e._values=t._values?He(t._values):void 0,e._index=He(t._index),e._ptr=He(t._ptr),e._size=He(t._size),e._datatype=r||t._datatype):a(e,t.valueOf(),r||t._datatype)}(this,e,t);else if(e&&p(e.index)&&p(e.ptr)&&p(e.size))this._values=e.values,this._index=e.index,this._ptr=e.ptr,this._size=e.size,this._datatype=t||e.datatype;else if(p(e))a(this,e,t);else{if(e)throw new TypeError("Unsupported type of data ("+H(e)+")");this._values=[],this._index=[],this._ptr=[0],this._size=[0,0],this._datatype=t}}function a(e,n,i){e._values=[],e._index=[],e._ptr=[],e._datatype=i;var a=n.length,o=0,s=r,u=0;if(l(i)&&(s=t.find(r,[i,i])||r,u=t.convert(0,i)),a>0){var c=0;do{e._ptr.push(e._index.length);for(var f=0;f<a;f++){var m=n[f];if(p(m)){if(0===c&&o<m.length&&(o=m.length),c<m.length){var h=m[c];s(h,u)||(e._values.push(h),e._index.push(f))}}else 0===c&&o<1&&(o=1),s(m,u)||(e._values.push(m),e._index.push(f))}c++}while(c<o)}e._ptr.push(e._index.length),e._size=[a,o]}function u(e,t){if(!g(t))throw new TypeError("Invalid index");if(t.isScalar())return e.get(t.min());var r,n,a,o,s=t.size();if(s.length!==e._size.length)throw new Me(s.length,e._size.length);var u=t.min(),c=t.max();for(r=0,n=e._size.length;r<n;r++)Oe(u[r],e._size[r]),Oe(c[r],e._size[r]);var f=e._values,l=e._index,p=e._ptr,m=t.dimension(0),h=t.dimension(1),d=[],v=[];m.forEach((function(e,t){v[e]=t[0],d[e]=!0}));var y=f?[]:void 0,x=[],b=[];return h.forEach((function(e){for(b.push(x.length),a=p[e],o=p[e+1];a<o;a++)r=l[a],!0===d[r]&&(x.push(v[r]),y&&y.push(f[a]))})),b.push(x.length),new i({values:y,index:x,ptr:b,size:s,datatype:e._datatype})}function c(e,t,r,n){if(!t||!0!==t.isIndex)throw new TypeError("Invalid index");var i,a=t.size(),o=t.isScalar();if(m(r)?(i=r.size(),r=r.toArray()):i=Se(r),o){if(0!==i.length)throw new TypeError("Scalar expected");e.set(t.min(),r,n)}else{if(1!==a.length&&2!==a.length)throw new Me(a.length,e._size.length,"<");if(i.length<a.length){for(var s=0,u=0;1===a[s]&&1===i[s];)s++;for(;1===a[s];)u++,s++;r=ze(r,a.length,u,i)}if(!Ze(a,i))throw new Me(a,i,">");if(1===a.length){t.dimension(0).forEach((function(t,i){Oe(t),e.set([t,0],r[i[0]],n)}))}else{var c=t.dimension(0),f=t.dimension(1);c.forEach((function(t,i){Oe(t),f.forEach((function(a,o){Oe(a),e.set([t,a],r[i[0]][o[0]],n)}))}))}}return e}function f(e,t,r,n){if(r-t==0)return r;for(var i=t;i<r;i++)if(n[i]===e)return i;return t}function d(e,t,r,n,i,a,o){i.splice(e,0,n),a.splice(e,0,t);for(var s=r+1;s<o.length;s++)o[s]++}function v(e,n,i,a){var o=a||0,s=r,u=0;l(e._datatype)&&(s=t.find(r,[e._datatype,e._datatype])||r,u=t.convert(0,e._datatype),o=t.convert(o,e._datatype));var c,f,p,m=!s(o,u),h=e._size[0],d=e._size[1];if(i>d){for(f=d;f<i;f++)if(e._ptr[f]=e._values.length,m)for(c=0;c<h;c++)e._values.push(o),e._index.push(c);e._ptr[i]=e._values.length}else i<d&&(e._ptr.splice(i+1,d-i),e._values.splice(e._ptr[i],e._values.length),e._index.splice(e._ptr[i],e._index.length));if(d=i,n>h){if(m){var v=0;for(f=0;f<d;f++){e._ptr[f]=e._ptr[f]+v,p=e._ptr[f+1]+v;var y=0;for(c=h;c<n;c++,y++)e._values.splice(p+y,0,o),e._index.splice(p+y,0,c),v++}e._ptr[d]=e._values.length}}else if(n<h){var g=0;for(f=0;f<d;f++){e._ptr[f]=e._ptr[f]-g;var x=e._ptr[f],b=e._ptr[f+1]-g;for(p=x;p<b;p++)(c=e._index[p])>n-1&&(e._values.splice(p,1),e._index.splice(p,1),g++)}e._ptr[f]=e._values.length}return e._size[0]=n,e._size[1]=i,e}function y(e,t,r,n,i){var a,o,s=n[0],u=n[1],c=[];for(a=0;a<s;a++)for(c[a]=[],o=0;o<u;o++)c[a][o]=0;for(o=0;o<u;o++)for(var f=r[o],l=r[o+1],p=f;p<l;p++)c[a=t[p]][o]=e?i?He(e[p]):e[p]:1;return c}return i.prototype=new n,i.prototype.createSparseMatrix=function(e,t){return new i(e,t)},i.prototype.type="SparseMatrix",i.prototype.isSparseMatrix=!0,i.prototype.getDataType=function(){return Le(this._values,H)},i.prototype.storage=function(){return"sparse"},i.prototype.datatype=function(){return this._datatype},i.prototype.create=function(e,t){return new i(e,t)},i.prototype.density=function(){var e=this._size[0],t=this._size[1];return 0!==e&&0!==t?this._index.length/(e*t):0},i.prototype.subset=function(e,t,r){if(!this._values)throw new Error("Cannot invoke subset on a Pattern only matrix");switch(arguments.length){case 1:return u(this,e);case 2:case 3:return c(this,e,t,r);default:throw new SyntaxError("Wrong number of arguments")}},i.prototype.get=function(e){if(!p(e))throw new TypeError("Array expected");if(e.length!==this._size.length)throw new Me(e.length,this._size.length);if(!this._values)throw new Error("Cannot invoke get on a Pattern only matrix");var t=e[0],r=e[1];Oe(t,this._size[0]),Oe(r,this._size[1]);var n=f(t,this._ptr[r],this._ptr[r+1],this._index);return n<this._ptr[r+1]&&this._index[n]===t?this._values[n]:0},i.prototype.set=function(e,n,i){if(!p(e))throw new TypeError("Array expected");if(e.length!==this._size.length)throw new Me(e.length,this._size.length);if(!this._values)throw new Error("Cannot invoke set on a Pattern only matrix");var a=e[0],o=e[1],s=this._size[0],u=this._size[1],c=r,m=0;l(this._datatype)&&(c=t.find(r,[this._datatype,this._datatype])||r,m=t.convert(0,this._datatype)),(a>s-1||o>u-1)&&(v(this,Math.max(a+1,s),Math.max(o+1,u),i),s=this._size[0],u=this._size[1]),Oe(a,s),Oe(o,u);var h=f(a,this._ptr[o],this._ptr[o+1],this._index);return h<this._ptr[o+1]&&this._index[h]===a?c(n,m)?function(e,t,r,n,i){r.splice(e,1),n.splice(e,1);for(var a=t+1;a<i.length;a++)i[a]--}(h,o,this._values,this._index,this._ptr):this._values[h]=n:d(h,a,o,n,this._values,this._index,this._ptr),this},i.prototype.resize=function(e,t,r){if(!h(e))throw new TypeError("Array or Matrix expected");var n=e.valueOf().map((function(e){return Array.isArray(e)&&1===e.length?e[0]:e}));if(2!==n.length)throw new Error("Only two dimensions matrix are supported");return n.forEach((function(e){if(!o(e)||!Z(e)||e<0)throw new TypeError("Invalid size, must contain positive integers (size: "+xe(n)+")")})),v(r?this.clone():this,n[0],n[1],t)},i.prototype.reshape=function(e,t){if(!p(e))throw new TypeError("Array expected");if(2!==e.length)throw new Error("Sparse matrices can only be reshaped in two dimensions");e.forEach((function(t){if(!o(t)||!Z(t)||t<=-2||0===t)throw new TypeError("Invalid size, must contain positive integers or -1 (size: "+xe(e)+")")}));var r=this._size[0]*this._size[1];if(r!==(e=_e(e,r))[0]*e[1])throw new Error("Reshaping sparse matrix will result in the wrong number of elements");var n=t?this.clone():this;if(this._size[0]===e[0]&&this._size[1]===e[1])return n;for(var i=[],a=0;a<n._ptr.length;a++)for(var s=0;s<n._ptr[a+1]-n._ptr[a];s++)i.push(a);for(var u=n._values.slice(),c=n._index.slice(),l=0;l<n._index.length;l++){var m=c[l],h=i[l],v=m*n._size[1]+h;i[l]=v%e[1],c[l]=Math.floor(v/e[1])}n._values.length=0,n._index.length=0,n._ptr.length=e[1]+1,n._size=e.slice();for(var y=0;y<n._ptr.length;y++)n._ptr[y]=0;for(var g=0;g<u.length;g++){var x=c[g],b=i[g],w=u[g];d(f(x,n._ptr[b],n._ptr[b+1],n._index),x,b,w,n._values,n._index,n._ptr)}return n},i.prototype.clone=function(){return new i({values:this._values?He(this._values):void 0,index:He(this._index),ptr:He(this._ptr),size:He(this._size),datatype:this._datatype})},i.prototype.size=function(){return this._size.slice(0)},i.prototype.map=function(e,n){if(!this._values)throw new Error("Cannot invoke map on a Pattern only matrix");var a=this;return function(e,n,a,o,s,u,c){var f=[],p=[],m=[],h=r,d=0;l(e._datatype)&&(h=t.find(r,[e._datatype,e._datatype])||r,d=t.convert(0,e._datatype));for(var v=function(e,t,r){e=u(e,t,r),h(e,d)||(f.push(e),p.push(t))},y=o;y<=s;y++){m.push(f.length);var g=e._ptr[y],x=e._ptr[y+1];if(c)for(var b=g;b<x;b++){var w=e._index[b];w>=n&&w<=a&&v(e._values[b],w-n,y-o)}else{for(var N={},M=g;M<x;M++){var E=e._index[M];N[E]=e._values[M]}for(var S=n;S<=a;S++){var A=S in N?N[S]:0;v(A,S-n,y-o)}}}return m.push(f.length),new i({values:f,index:p,ptr:m,size:[a-n+1,s-o+1]})}(this,0,this._size[0]-1,0,this._size[1]-1,(function(t,r,n){return e(t,[r,n],a)}),n)},i.prototype.forEach=function(e,t){if(!this._values)throw new Error("Cannot invoke forEach on a Pattern only matrix");for(var r=this._size[0],n=this._size[1],i=0;i<n;i++){var a=this._ptr[i],o=this._ptr[i+1];if(t)for(var s=a;s<o;s++){var u=this._index[s];e(this._values[s],[u,i],this)}else{for(var c={},f=a;f<o;f++){c[this._index[f]]=this._values[f]}for(var l=0;l<r;l++){e(l in c?c[l]:0,[l,i],this)}}}},i.prototype[Symbol.iterator]=Dt.a.mark((function e(){var t,r,n,i,a,o;return Dt.a.wrap((function(e){for(;;)switch(e.prev=e.next){case 0:if(this._values){e.next=2;break}throw new Error("Cannot iterate a Pattern only matrix");case 2:t=this._size[1],r=0;case 4:if(!(r<t)){e.next=18;break}n=this._ptr[r],i=this._ptr[r+1],a=n;case 8:if(!(a<i)){e.next=15;break}return o=this._index[a],e.next=12,{value:this._values[a],index:[o,r]};case 12:a++,e.next=8;break;case 15:r++,e.next=4;break;case 18:case"end":return e.stop()}}),e,this)})),i.prototype.toArray=function(){return y(this._values,this._index,this._ptr,this._size,!0)},i.prototype.valueOf=function(){return y(this._values,this._index,this._ptr,this._size,!1)},i.prototype.format=function(e){for(var t=this._size[0],r=this._size[1],n=this.density(),i="Sparse Matrix ["+xe(t,e)+" x "+xe(r,e)+"] density: "+xe(n,e)+"\n",a=0;a<r;a++)for(var o=this._ptr[a],s=this._ptr[a+1],u=o;u<s;u++){i+="\n ("+xe(this._index[u],e)+", "+xe(a,e)+") ==> "+(this._values?xe(this._values[u],e):"X")}return i},i.prototype.toString=function(){return xe(this.toArray())},i.prototype.toJSON=function(){return{mathjs:"SparseMatrix",values:this._values,index:this._index,ptr:this._ptr,size:this._size,datatype:this._datatype}},i.prototype.diagonal=function(e){if(e){if(s(e)&&(e=e.toNumber()),!o(e)||!Z(e))throw new TypeError("The parameter k must be an integer number")}else e=0;var t=e>0?e:0,r=e<0?-e:0,n=this._size[0],a=this._size[1],u=Math.min(n-r,a-t),c=[],f=[],l=[];l[0]=0;for(var p=t;p<a&&c.length<u;p++)for(var m=this._ptr[p],h=this._ptr[p+1],d=m;d<h;d++){var v=this._index[d];if(v===p-t+r){c.push(this._values[d]),f[c.length-1]=v-r;break}}return l.push(c.length),new i({values:c,index:f,ptr:l,size:[u,1]})},i.fromJSON=function(e){return new i(e)},i.diagonal=function(e,n,a,u,c){if(!p(e))throw new TypeError("Array expected, size parameter");if(2!==e.length)throw new Error("Only two dimensions matrix are supported");if(e=e.map((function(e){if(s(e)&&(e=e.toNumber()),!o(e)||!Z(e)||e<1)throw new Error("Size values must be positive integers");return e})),a){if(s(a)&&(a=a.toNumber()),!o(a)||!Z(a))throw new TypeError("The parameter k must be an integer number")}else a=0;var f=r,h=0;l(c)&&(f=t.find(r,[c,c])||r,h=t.convert(0,c));var d,v=a>0?a:0,y=a<0?-a:0,g=e[0],x=e[1],b=Math.min(g-y,x-v);if(p(n)){if(n.length!==b)throw new Error("Invalid value array length");d=function(e){return n[e]}}else if(m(n)){var w=n.size();if(1!==w.length||w[0]!==b)throw new Error("Invalid matrix length");d=function(e){return n.get([e])}}else d=function(){return n};for(var N=[],M=[],E=[],S=0;S<x;S++){E.push(N.length);var A=S-v;if(A>=0&&A<b){var O=d(A);f(O,h)||(M.push(A+y),N.push(O))}}return E.push(N.length),new i({values:N,index:M,ptr:E,size:[g,x]})},i.prototype.swapRows=function(e,t){if(!(o(e)&&Z(e)&&o(t)&&Z(t)))throw new Error("Row index must be positive integers");if(2!==this._size.length)throw new Error("Only two dimensional matrix is supported");return Oe(e,this._size[0]),Oe(t,this._size[0]),i._swapRows(e,t,this._size[1],this._values,this._index,this._ptr),this},i._forEachRow=function(e,t,r,n,i){for(var a=n[e],o=n[e+1],s=a;s<o;s++)i(r[s],t[s])},i._swapRows=function(e,t,r,n,i,a){for(var o=0;o<r;o++){var s=a[o],u=a[o+1],c=f(e,s,u,i),l=f(t,s,u,i);if(c<u&&l<u&&i[c]===e&&i[l]===t){if(n){var p=n[c];n[c]=n[l],n[l]=p}}else if(c<u&&i[c]===e&&(l>=u||i[l]!==t)){var m=n?n[c]:void 0;i.splice(l,0,t),n&&n.splice(l,0,m),i.splice(l<=c?c+1:c,1),n&&n.splice(l<=c?c+1:c,1)}else if(l<u&&i[l]===t&&(c>=u||i[c]!==e)){var h=n?n[l]:void 0;i.splice(c,0,e),n&&n.splice(c,0,h),i.splice(c<=l?l+1:l,1),n&&n.splice(c<=l?l+1:l,1)}}},i}),{isClass:!0}));var fr=Qe("number",["typed"],(function(e){var t=(0,e.typed)("number",{"":function(){return 0},number:function(e){return e},string:function(e){if("NaN"===e)return NaN;var t,r,n=(r=(t=e).match(/(0[box])([0-9a-fA-F]*)\.([0-9a-fA-F]*)/))?{input:t,radix:{"0b":2,"0o":8,"0x":16}[r[1]],integerPart:r[2],fractionalPart:r[3]}:null;if(n)return function(e){for(var t=parseInt(e.integerPart,e.radix),r=0,n=0;n<e.fractionalPart.length;n++){r+=parseInt(e.fractionalPart[n],e.radix)/Math.pow(e.radix,n+1)}var i=t+r;if(isNaN(i))throw new SyntaxError('String "'+e.input+'" is no valid number');return i}(n);var i=0,a=e.match(/(0[box][0-9a-fA-F]*)i([0-9]*)/);a&&(i=Number(a[2]),e=a[1]);var o=Number(e);if(isNaN(o))throw new SyntaxError('String "'+e+'" is no valid number');if(a){if(o>Math.pow(2,i)-1)throw new SyntaxError('String "'.concat(e,'" is out of range'));o>=Math.pow(2,i-1)&&(o-=Math.pow(2,i))}return o},BigNumber:function(e){return e.toNumber()},Fraction:function(e){return e.valueOf()},Unit:function(e){throw new Error("Second argument with valueless unit expected")},null:function(e){return 0},"Unit, string | Unit":function(e,t){return e.toNumber(t)},"Array | Matrix":function(e){return Gt(e,this)}});return t.fromJSON=function(e){return parseFloat(e.value)},t})),lr=Qe("string",["typed"],(function(e){return(0,e.typed)("string",{"":function(){return""},number:te,null:function(e){return"null"},boolean:function(e){return e+""},string:function(e){return e},"Array | Matrix":function(e){return Gt(e,this)},any:function(e){return String(e)}})})),pr=Qe("boolean",["typed"],(function(e){return(0,e.typed)("boolean",{"":function(){return!1},boolean:function(e){return e},number:function(e){return!!e},null:function(e){return!1},BigNumber:function(e){return!e.isZero()},string:function(e){var t=e.toLowerCase();if("true"===t)return!0;if("false"===t)return!1;var r=Number(e);if(""!==e&&!isNaN(r))return!!r;throw new Error('Cannot convert "'+e+'" to a boolean')},"Array | Matrix":function(e){return Gt(e,this)}})})),mr=Qe("bignumber",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("bignumber",{"":function(){return new r(0)},number:function(e){return new r(e+"")},string:function(e){var t=e.match(/(0[box][0-9a-fA-F]*)i([0-9]*)/);if(t){var n=t[2],i=r(t[1]),a=new r(2).pow(Number(n));if(i.gt(a.sub(1)))throw new SyntaxError('String "'.concat(e,'" is out of range'));var o=new r(2).pow(Number(n)-1);return i.gte(o)?i.sub(a):i}return new r(e)},BigNumber:function(e){return e},Fraction:function(e){return new r(e.n).div(e.d).times(e.s)},null:function(e){return new r(0)},"Array | Matrix":function(e){return Gt(e,this)}})})),hr=Qe("complex",["typed","Complex"],(function(e){var t=e.typed,r=e.Complex;return t("complex",{"":function(){return r.ZERO},number:function(e){return new r(e,0)},"number, number":function(e,t){return new r(e,t)},"BigNumber, BigNumber":function(e,t){return new r(e.toNumber(),t.toNumber())},Fraction:function(e){return new r(e.valueOf(),0)},Complex:function(e){return e.clone()},string:function(e){return r(e)},null:function(e){return r(0)},Object:function(e){if("re"in e&&"im"in e)return new r(e.re,e.im);if("r"in e&&"phi"in e||"abs"in e&&"arg"in e)return new r(e);throw new Error("Expected object with properties (re and im) or (r and phi) or (abs and arg)")},"Array | Matrix":function(e){return Gt(e,this)}})})),dr=Qe("fraction",["typed","Fraction"],(function(e){var t=e.typed,r=e.Fraction;return t("fraction",{number:function(e){if(!isFinite(e)||isNaN(e))throw new Error(e+" cannot be represented as a fraction");return new r(e)},string:function(e){return new r(e)},"number, number":function(e,t){return new r(e,t)},null:function(e){return new r(0)},BigNumber:function(e){return new r(e.toString())},Fraction:function(e){return e},Object:function(e){return new r(e)},"Array | Matrix":function(e){return Gt(e,this)}})})),vr=(r(41),Qe("matrix",["typed","Matrix","DenseMatrix","SparseMatrix"],(function(e){var t=e.typed,r=(e.Matrix,e.DenseMatrix),n=e.SparseMatrix;return t("matrix",{"":function(){return i([])},string:function(e){return i([],e)},"string, string":function(e,t){return i([],e,t)},Array:function(e){return i(e)},Matrix:function(e){return i(e,e.storage())},"Array | Matrix, string":i,"Array | Matrix, string, string":i});function i(e,t,i){if("dense"===t||"default"===t||void 0===t)return new r(e,i);if("sparse"===t)return new n(e,i);throw new TypeError("Unknown matrix type "+JSON.stringify(t)+".")}}))),yr=Qe("matrixFromFunction",["typed","matrix","isZero"],(function(e){var t=e.typed,r=e.matrix,n=e.isZero;return t("matrixFromFunction",{"Array | Matrix, function, string, string":function(e,t,r,n){return i(e,t,r,n)},"Array | Matrix, function, string":function(e,t,r){return i(e,t,r)},"Matrix, function":function(e,t){return i(e,t,"dense")},"Array, function":function(e,t){return i(e,t,"dense").toArray()},"Array | Matrix, string, function":function(e,t,r){return i(e,r,t)},"Array | Matrix, string, string, function":function(e,t,r,n){return i(e,n,t,r)}});function i(e,t,i,a){var o;return(o=void 0!==a?r(i,a):r(i)).resize(e),o.forEach((function(e,r){var i=t(r);n(i)||o.set(r,i)})),o}}));function gr(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(!e)return;if("string"==typeof e)return xr(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return xr(e,t)}(e))||t&&e&&"number"==typeof e.length){r&&(e=r);var n=0,i=function(){};return{s:i,n:function(){return n>=e.length?{done:!0}:{done:!1,value:e[n++]}},e:function(e){throw e},f:i}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var a,o=!0,s=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){s=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(s)throw a}}}}function xr(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}var br=Qe("matrixFromRows",["typed","matrix","flatten","size"],(function(e){var t=e.typed,r=e.matrix,n=e.flatten,i=e.size;return t("matrixFromRows",{"...Array":function(e){return a(e)},"...Matrix":function(e){return r(a(e.map((function(e){return e.toArray()}))))}});function a(e){if(0===e.length)throw new TypeError("At least one row is needed to construct a matrix.");var t,r=o(e[0]),i=[],a=gr(e);try{for(a.s();!(t=a.n()).done;){var s=t.value,u=o(s);if(u!==r)throw new TypeError("The vectors had different length: "+(0|r)+" ≠ "+(0|u));i.push(n(s))}}catch(e){a.e(e)}finally{a.f()}return i}function o(e){var t=i(e);if(1===t.length)return t[0];if(2===t.length){if(1===t[0])return t[1];if(1===t[1])return t[0];throw new TypeError("At least one of the arguments is not a vector.")}throw new TypeError("Only one- or two-dimensional vectors are supported.")}}));function wr(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(!e)return;if("string"==typeof e)return Nr(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return Nr(e,t)}(e))||t&&e&&"number"==typeof e.length){r&&(e=r);var n=0,i=function(){};return{s:i,n:function(){return n>=e.length?{done:!0}:{done:!1,value:e[n++]}},e:function(e){throw e},f:i}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var a,o=!0,s=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){s=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(s)throw a}}}}function Nr(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}var Mr=Qe("matrixFromColumns",["typed","matrix","flatten","size"],(function(e){var t=e.typed,r=e.matrix,n=e.flatten,i=e.size;return t("matrixFromColumns",{"...Array":function(e){return a(e)},"...Matrix":function(e){return r(a(e.map((function(e){return e.toArray()}))))}});function a(e){if(0===e.length)throw new TypeError("At least one column is needed to construct a matrix.");for(var t=o(e[0]),r=[],i=0;i<t;i++)r[i]=[];var a,s=wr(e);try{for(s.s();!(a=s.n()).done;){var u=a.value,c=o(u);if(c!==t)throw new TypeError("The vectors had different length: "+(0|t)+" ≠ "+(0|c));for(var f=n(u),l=0;l<t;l++)r[l].push(f[l])}}catch(e){s.e(e)}finally{s.f()}return r}function o(e){var t=i(e);if(1===t.length)return t[0];if(2===t.length){if(1===t[0])return t[1];if(1===t[1])return t[0];throw new TypeError("At least one of the arguments is not a vector.")}throw new TypeError("Only one- or two-dimensional vectors are supported.")}})),Er=Qe("splitUnit",["typed"],(function(e){return(0,e.typed)("splitUnit",{"Unit, Array":function(e,t){return e.splitUnit(t)}})}));function Sr(e){return Math.abs(e)}function Ar(e,t){return e+t}function Or(e,t){return e*t}function Cr(e){return-e}function Tr(e){return e}function _r(e){return Q(e)}function Ir(e){return e*e*e}function kr(e){return Math.exp(e)}function zr(e){return K(e)}function Rr(e,t){if(!Z(e)||!Z(t))throw new Error("Parameters in function gcd must be integer numbers");for(var r;0!==t;)r=e%t,e=t,t=r;return e<0?-e:e}function qr(e,t){if(!Z(e)||!Z(t))throw new Error("Parameters in function lcm must be integer numbers");if(0===e||0===t)return 0;for(var r,n=e*t;0!==t;)t=e%(r=t),e=r;return Math.abs(n/e)}function Br(e){return J(e)}function Dr(e){return Y(e)}function jr(e,t){if(t>0)return e-t*Math.floor(e/t);if(0===t)return e;throw new Error("Cannot calculate mod for a negative divisor")}function Pr(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:2,r=t<0;if(r&&(t=-t),0===t)throw new Error("Root must be non-zero");if(e<0&&Math.abs(t)%2!=1)throw new Error("Root must be odd when a is negative.");if(0===e)return r?1/0:0;if(!isFinite(e))return r?0:e;var n=Math.pow(Math.abs(e),1/t);return n=e<0?-n:n,r?1/n:n}function Fr(e){return W(e)}function Ur(e){return e*e}function Lr(e,t){var r,n,i,a=0,o=1,s=1,u=0;if(!Z(e)||!Z(t))throw new Error("Parameters in function xgcd must be integer numbers");for(;t;)i=e-(n=Math.floor(e/t))*t,r=a,a=o-n*a,o=r,r=s,s=u-n*s,u=r,e=t,t=i;return e<0?[-e,-o,-u]:[e,e?o:0,u]}function $r(e,t){return e*e<1&&t===1/0||e*e>1&&t===-1/0?0:Math.pow(e,t)}function Hr(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:0;if(!Z(t)||t<0||t>15)throw new Error("Number of decimals in function round must be an integer from 0 to 15 inclusive");return parseFloat(ne(e,t))}Sr.signature="number",Ar.signature="number, number",Or.signature="number, number",Cr.signature="number",Tr.signature="number",_r.signature="number",Ir.signature="number",kr.signature="number",zr.signature="number",Rr.signature="number, number",qr.signature="number, number",Br.signature="number",Dr.signature="number",jr.signature="number, number",Fr.signature="number",Ur.signature="number",Lr.signature="number, number",$r.signature="number, number";var Gr=Qe("unaryMinus",["typed"],(function(e){return(0,e.typed)("unaryMinus",{number:Cr,Complex:function(e){return e.neg()},BigNumber:function(e){return e.neg()},Fraction:function(e){return e.neg()},Unit:function(e){var t=e.clone();return t.value=this(e.value),t},"Array | Matrix":function(e){return Gt(e,this,!0)}})})),Vr=Qe("unaryPlus",["typed","config","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.BigNumber;return t("unaryPlus",{number:Tr,Complex:function(e){return e},BigNumber:function(e){return e},Fraction:function(e){return e},Unit:function(e){return e.clone()},"Array | Matrix":function(e){return Gt(e,this,!0)},"boolean | string":function(e){return"BigNumber"===r.number?new n(+e):+e}})})),Zr=Qe("abs",["typed"],(function(e){return(0,e.typed)("abs",{number:Sr,Complex:function(e){return e.abs()},BigNumber:function(e){return e.abs()},Fraction:function(e){return e.abs()},"Array | Matrix":function(e){return Gt(e,this,!0)},Unit:function(e){return e.abs()}})})),Wr=Qe("apply",["typed","isInteger"],(function(e){var t=e.typed,r=e.isInteger;return t("apply",{"Array | Matrix, number | BigNumber, function":function(e,t,n){if(!r(t))throw new TypeError("Integer number expected for dimension");var i=Array.isArray(e)?Se(e):e.size();if(t<0||t>=i.length)throw new Ee(t,i.length);return m(e)?e.create(Yr(e.valueOf(),t,n)):Yr(e,t,n)}})}));function Yr(e,t,r){var n,i,a;if(t<=0){if(Array.isArray(e[0])){for(a=function(e){var t,r,n=e.length,i=e[0].length,a=[];for(r=0;r<i;r++){var o=[];for(t=0;t<n;t++)o.push(e[t][r]);a.push(o)}return a}(e),i=[],n=0;n<a.length;n++)i[n]=Yr(a[n],t-1,r);return i}return r(e)}for(i=[],n=0;n<e.length;n++)i[n]=Yr(e[n],t-1,r);return i}var Jr=Qe("addScalar",["typed"],(function(e){return(0,e.typed)("addScalar",{"number, number":Ar,"Complex, Complex":function(e,t){return e.add(t)},"BigNumber, BigNumber":function(e,t){return e.plus(t)},"Fraction, Fraction":function(e,t){return e.add(t)},"Unit, Unit":function(e,t){if(null===e.value||void 0===e.value)throw new Error("Parameter x contains a unit with undefined value");if(null===t.value||void 0===t.value)throw new Error("Parameter y contains a unit with undefined value");if(!e.equalBase(t))throw new Error("Units do not match");var r=e.clone();return r.value=this(r.value,t.value),r.fixPrefix=!1,r}})})),Xr=Qe("cbrt",["config","typed","isNegative","unaryMinus","matrix","Complex","BigNumber","Fraction"],(function(e){var t=e.config,r=e.typed,n=e.isNegative,i=e.unaryMinus,a=e.matrix,o=e.Complex,f=e.BigNumber,l=e.Fraction;return r("cbrt",{number:_r,Complex:p,"Complex, boolean":p,BigNumber:function(e){return e.cbrt()},Unit:function(e){if(e.value&&u(e.value)){var t=e.clone();return t.value=1,(t=t.pow(1/3)).value=p(e.value),t}var r,a=n(e.value);a&&(e.value=i(e.value)),r=s(e.value)?new f(1).div(3):c(e.value)?new l(1,3):1/3;var o=e.pow(r);return a&&(o.value=i(o.value)),o},"Array | Matrix":function(e){return Gt(e,this,!0)}});function p(e,r){var n=e.arg()/3,i=e.abs(),s=new o(_r(i),0).mul(new o(0,n).exp());if(r){var u=[s,new o(_r(i),0).mul(new o(0,n+2*Math.PI/3).exp()),new o(_r(i),0).mul(new o(0,n-2*Math.PI/3).exp())];return"Array"===t.matrix?u:a(u)}return s}})),Qr=r(57),Kr=r.n(Qr),en=Qe("algorithm11",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i,a){var o=e._values,s=e._index,u=e._ptr,c=e._size,f=e._datatype;if(!o)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var l,p=c[0],m=c[1],h=r,d=0,v=i;"string"==typeof f&&(l=f,h=t.find(r,[l,l]),d=t.convert(0,l),n=t.convert(n,l),v=t.find(i,[l,l]));for(var y=[],g=[],x=[],b=0;b<m;b++){x[b]=g.length;for(var w=u[b],N=u[b+1],M=w;M<N;M++){var E=s[M],S=a?v(n,o[M]):v(o[M],n);h(S,d)||(g.push(E),y.push(S))}}return x[m]=g.length,e.createSparseMatrix({values:y,index:g,ptr:x,size:[p,m],datatype:l})}})),tn=Qe("algorithm12",["typed","DenseMatrix"],(function(e){var t=e.typed,r=e.DenseMatrix;return function(e,n,i,a){var o=e._values,s=e._index,u=e._ptr,c=e._size,f=e._datatype;if(!o)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var l,p=c[0],m=c[1],h=i;"string"==typeof f&&(l=f,n=t.convert(n,l),h=t.find(i,[l,l]));for(var d=[],v=[],y=[],g=0;g<m;g++){for(var x=g+1,b=u[g],w=u[g+1],N=b;N<w;N++){var M=s[N];v[M]=o[N],y[M]=x}for(var E=0;E<p;E++)0===g&&(d[E]=[]),y[E]===x?d[E][g]=a?h(n,v[E]):h(v[E],n):d[E][g]=a?h(n,0):h(0,n)}return new r({data:d,size:[p,m],datatype:l})}})),rn=Qe("algorithm14",["typed"],(function(e){var t=e.typed;return function(e,r,n,i){var a,o=e._data,s=e._size,u=e._datatype,c=n;"string"==typeof u&&(a=u,r=t.convert(r,a),c=t.find(n,[a,a]));var f=s.length>0?function e(t,r,n,i,a,o,s){var u=[];if(r===n.length-1)for(var c=0;c<i;c++)u[c]=s?t(o,a[c]):t(a[c],o);else for(var f=0;f<i;f++)u[f]=e(t,r+1,n,n[r+1],a[f],o,s);return u}(c,0,s,s[0],o,r,i):[];return e.createDenseMatrix({data:f,size:He(s),datatype:a})}})),nn=["typed","config","round","matrix","equalScalar","zeros","DenseMatrix"],an=Qe("ceil",["typed","config","round"],(function(e){var t=e.typed,r=e.config,n=e.round;return t("ceil",{number:function(e){return ue(e,n(e),r.epsilon)?n(e):Math.ceil(e)},"number, number":function(e,t){if(ue(e,n(e,t),r.epsilon))return n(e,t);var i="".concat(e,"e").split("e"),a=Kr()(i,2),o=a[0],s=a[1],u=Math.ceil(Number("".concat(o,"e").concat(Number(s)+t))),c="".concat(u,"e").split("e"),f=Kr()(c,2);return o=f[0],s=f[1],Number("".concat(o,"e").concat(Number(s)-t))}})})),on=Qe("ceil",nn,(function(e){var t=e.typed,r=e.config,n=e.round,i=e.matrix,a=e.equalScalar,o=e.zeros,s=e.DenseMatrix,u=en({typed:t,equalScalar:a}),c=tn({typed:t,DenseMatrix:s}),f=rn({typed:t}),l=an({typed:t,config:r,round:n});return t("ceil",{number:l.signatures.number,"number,number":l.signatures["number,number"],Complex:function(e){return e.ceil()},"Complex, number":function(e,t){return e.ceil(t)},"Complex, BigNumber":function(e,t){return e.ceil(t.toNumber())},BigNumber:function(e){return sr(e,n(e),r.epsilon)?n(e):e.ceil()},"BigNumber, BigNumber":function(e,t){return sr(e,n(e,t),r.epsilon)?n(e,t):e.toDecimalPlaces(t.toNumber(),At.a.ROUND_CEIL)},Fraction:function(e){return e.ceil()},"Fraction, number":function(e,t){return e.ceil(t)},"Fraction, BigNumber":function(e,t){return e.ceil(t.toNumber())},"Array | Matrix":function(e){return Gt(e,this,!0)},"Array, number | BigNumber":function(e,t){var r=this;return Gt(e,(function(e){return r(e,t)}),!0)},"SparseMatrix, number | BigNumber":function(e,t){return u(e,t,this,!1)},"DenseMatrix, number | BigNumber":function(e,t){return f(e,t,this,!1)},"number | Complex | Fraction | BigNumber, Array":function(e,t){return f(i(t),e,this,!0).valueOf()},"number | Complex | Fraction | BigNumber, Matrix":function(e,t){return a(e,0)?o(t.size(),t.storage()):"dense"===t.storage()?f(t,e,this,!0):c(t,e,this,!0)}})})),sn=Qe("cube",["typed"],(function(e){return(0,e.typed)("cube",{number:Ir,Complex:function(e){return e.mul(e).mul(e)},BigNumber:function(e){return e.times(e).times(e)},Fraction:function(e){return e.pow(3)},"Array | Matrix":function(e){return Gt(e,this,!0)},Unit:function(e){return e.pow(3)}})})),un=Qe("exp",["typed"],(function(e){return(0,e.typed)("exp",{number:kr,Complex:function(e){return e.exp()},BigNumber:function(e){return e.exp()},"Array | Matrix":function(e){return Gt(e,this)}})})),cn=Qe("expm1",["typed","Complex"],(function(e){var t=e.typed,r=e.Complex;return t("expm1",{number:zr,Complex:function(e){var t=Math.exp(e.re);return new r(t*Math.cos(e.im)-1,t*Math.sin(e.im))},BigNumber:function(e){return e.exp().minus(1)},"Array | Matrix":function(e){return Gt(e,this)}})})),fn=["typed","Complex","matrix","ceil","floor","equalScalar","zeros","DenseMatrix"],ln=Qe("fix",["typed","ceil","floor"],(function(e){var t=e.typed,r=e.ceil,n=e.floor;return t("fix",{number:function(e){return e>0?n(e):r(e)},"number, number":function(e,t){return e>0?n(e,t):r(e,t)}})})),pn=Qe("fix",fn,(function(e){var t=e.typed,r=e.Complex,n=e.matrix,i=e.ceil,a=e.floor,o=e.equalScalar,s=e.zeros,u=e.DenseMatrix,c=tn({typed:t,DenseMatrix:u}),f=rn({typed:t}),l=ln({typed:t,ceil:i,floor:a});return t("fix",{number:l.signatures.number,"number, number | BigNumber":l.signatures["number,number"],Complex:function(e){return new r(e.re>0?Math.floor(e.re):Math.ceil(e.re),e.im>0?Math.floor(e.im):Math.ceil(e.im))},"Complex, number":function(e,t){return new r(e.re>0?a(e.re,t):i(e.re,t),e.im>0?a(e.im,t):i(e.im,t))},"Complex, BigNumber":function(e,t){var n=t.toNumber();return new r(e.re>0?a(e.re,n):i(e.re,n),e.im>0?a(e.im,n):i(e.im,n))},BigNumber:function(e){return e.isNegative()?i(e):a(e)},"BigNumber, number | BigNumber":function(e,t){return e.isNegative()?i(e,t):a(e,t)},Fraction:function(e){return e.s<0?e.ceil():e.floor()},"Fraction, number | BigNumber":function(e,t){return e.s<0?i(e,t):a(e,t)},"Array | Matrix":function(e){return Gt(e,this,!0)},"Array | Matrix, number | BigNumber":function(e,t){var r=this;return Gt(e,(function(e){return r(e,t)}),!0)},"number | Complex | Fraction | BigNumber, Array":function(e,t){return f(n(t),e,this,!0).valueOf()},"number | Complex | Fraction | BigNumber, Matrix":function(e,t){return o(e,0)?s(t.size(),t.storage()):"dense"===t.storage()?f(t,e,this,!0):c(t,e,this,!0)}})})),mn=["typed","config","round","matrix","equalScalar","zeros","DenseMatrix"],hn=Qe("floor",["typed","config","round"],(function(e){var t=e.typed,r=e.config,n=e.round;return t("floor",{number:function(e){return ue(e,n(e),r.epsilon)?n(e):Math.floor(e)},"number, number":function(e,t){if(ue(e,n(e,t),r.epsilon))return n(e,t);var i="".concat(e,"e").split("e"),a=Kr()(i,2),o=a[0],s=a[1],u=Math.floor(Number("".concat(o,"e").concat(Number(s)+t))),c="".concat(u,"e").split("e"),f=Kr()(c,2);return o=f[0],s=f[1],Number("".concat(o,"e").concat(Number(s)-t))}})})),dn=Qe("floor",mn,(function(e){var t=e.typed,r=e.config,n=e.round,i=e.matrix,a=e.equalScalar,o=e.zeros,s=e.DenseMatrix,u=en({typed:t,equalScalar:a}),c=tn({typed:t,DenseMatrix:s}),f=rn({typed:t}),l=hn({typed:t,config:r,round:n});return t("floor",{number:l.signatures.number,"number,number":l.signatures["number,number"],Complex:function(e){return e.floor()},"Complex, number":function(e,t){return e.floor(t)},"Complex, BigNumber":function(e,t){return e.floor(t.toNumber())},BigNumber:function(e){return sr(e,n(e),r.epsilon)?n(e):e.floor()},"BigNumber, BigNumber":function(e,t){return sr(e,n(e,t),r.epsilon)?n(e,t):e.toDecimalPlaces(t.toNumber(),At.a.ROUND_FLOOR)},Fraction:function(e){return e.floor()},"Fraction, number":function(e,t){return e.floor(t)},"Fraction, BigNumber":function(e,t){return e.floor(t.toNumber())},"Array | Matrix":function(e){return Gt(e,this,!0)},"Array, number | BigNumber":function(e,t){var r=this;return Gt(e,(function(e){return r(e,t)}),!0)},"SparseMatrix, number | BigNumber":function(e,t){return u(e,t,this,!1)},"DenseMatrix, number | BigNumber":function(e,t){return f(e,t,this,!1)},"number | Complex | Fraction | BigNumber, Array":function(e,t){return f(i(t),e,this,!0).valueOf()},"number | Complex | Fraction | BigNumber, Matrix":function(e,t){return a(e,0)?o(t.size(),t.storage()):"dense"===t.storage()?f(t,e,this,!0):c(t,e,this,!0)}})})),vn=Qe("algorithm01",["typed"],(function(e){var t=e.typed;return function(e,r,n,i){var a=e._data,o=e._size,s=e._datatype,u=r._values,c=r._index,f=r._ptr,l=r._size,p=r._datatype;if(o.length!==l.length)throw new Me(o.length,l.length);if(o[0]!==l[0]||o[1]!==l[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+l+")");if(!u)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var m,h,d=o[0],v=o[1],y="string"==typeof s&&s===p?s:void 0,g=y?t.find(n,[y,y]):n,x=[];for(m=0;m<d;m++)x[m]=[];var b=[],w=[];for(h=0;h<v;h++){for(var N=h+1,M=f[h],E=f[h+1],S=M;S<E;S++)b[m=c[S]]=i?g(u[S],a[m][h]):g(a[m][h],u[S]),w[m]=N;for(m=0;m<d;m++)w[m]===N?x[m][h]=b[m]:x[m][h]=a[m][h]}return e.createDenseMatrix({data:x,size:[d,v],datatype:y})}})),yn=Qe("algorithm04",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i){var a=e._values,o=e._index,s=e._ptr,u=e._size,c=e._datatype,f=n._values,l=n._index,p=n._ptr,m=n._size,h=n._datatype;if(u.length!==m.length)throw new Me(u.length,m.length);if(u[0]!==m[0]||u[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+m+")");var d,v=u[0],y=u[1],g=r,x=0,b=i;"string"==typeof c&&c===h&&(d=c,g=t.find(r,[d,d]),x=t.convert(0,d),b=t.find(i,[d,d]));var w,N,M,E,S,A=a&&f?[]:void 0,O=[],C=[],T=a&&f?[]:void 0,_=a&&f?[]:void 0,I=[],k=[];for(N=0;N<y;N++){C[N]=O.length;var z=N+1;for(E=s[N],S=s[N+1],M=E;M<S;M++)w=o[M],O.push(w),I[w]=z,T&&(T[w]=a[M]);for(E=p[N],S=p[N+1],M=E;M<S;M++)if(I[w=l[M]]===z){if(T){var R=b(T[w],f[M]);g(R,x)?I[w]=null:T[w]=R}}else O.push(w),k[w]=z,_&&(_[w]=f[M]);if(T&&_)for(M=C[N];M<O.length;)I[w=O[M]]===z?(A[M]=T[w],M++):k[w]===z?(A[M]=_[w],M++):O.splice(M,1)}return C[y]=O.length,e.createSparseMatrix({values:A,index:O,ptr:C,size:[v,y],datatype:d})}})),gn=Qe("algorithm10",["typed","DenseMatrix"],(function(e){var t=e.typed,r=e.DenseMatrix;return function(e,n,i,a){var o=e._values,s=e._index,u=e._ptr,c=e._size,f=e._datatype;if(!o)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var l,p=c[0],m=c[1],h=i;"string"==typeof f&&(l=f,n=t.convert(n,l),h=t.find(i,[l,l]));for(var d=[],v=[],y=[],g=0;g<m;g++){for(var x=g+1,b=u[g],w=u[g+1],N=b;N<w;N++){var M=s[N];v[M]=o[N],y[M]=x}for(var E=0;E<p;E++)0===g&&(d[E]=[]),y[E]===x?d[E][g]=a?h(n,v[E]):h(v[E],n):d[E][g]=n}return new r({data:d,size:[p,m],datatype:l})}})),xn=Qe("algorithm13",["typed"],(function(e){var t=e.typed;return function(e,r,n){var i,a=e._data,o=e._size,s=e._datatype,u=r._data,c=r._size,f=r._datatype,l=[];if(o.length!==c.length)throw new Me(o.length,c.length);for(var p=0;p<o.length;p++){if(o[p]!==c[p])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+c+")");l[p]=o[p]}var m=n;"string"==typeof s&&s===f&&(i=s,m=t.find(n,[i,i]));var h=l.length>0?function e(t,r,n,i,a,o){var s=[];if(r===n.length-1)for(var u=0;u<i;u++)s[u]=t(a[u],o[u]);else for(var c=0;c<i;c++)s[c]=e(t,r+1,n,n[r+1],a[c],o[c]);return s}(m,0,l,l[0],a,u):[];return e.createDenseMatrix({data:h,size:l,datatype:i})}})),bn=Qe("gcd",["typed","matrix","equalScalar","BigNumber","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.BigNumber,a=e.DenseMatrix,o=vn({typed:t}),s=yn({typed:t,equalScalar:n}),u=gn({typed:t,DenseMatrix:a}),c=xn({typed:t}),f=rn({typed:t});return t("gcd",{"number, number":Rr,"BigNumber, BigNumber":function(e,t){if(!e.isInt()||!t.isInt())throw new Error("Parameters in function gcd must be integer numbers");var r=new i(0);for(;!t.isZero();){var n=e.mod(t);e=t,t=n}return e.lt(r)?e.neg():e},"Fraction, Fraction":function(e,t){return e.gcd(t)},"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, number | BigNumber":function(e,t){return u(e,t,this,!1)},"DenseMatrix, number | BigNumber":function(e,t){return f(e,t,this,!1)},"number | BigNumber, SparseMatrix":function(e,t){return u(t,e,this,!0)},"number | BigNumber, DenseMatrix":function(e,t){return f(t,e,this,!0)},"Array, number | BigNumber":function(e,t){return f(r(e),t,this,!1).valueOf()},"number | BigNumber, Array":function(e,t){return f(r(t),e,this,!0).valueOf()},"Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber":function(e,t,r){for(var n=this(e,t),i=0;i<r.length;i++)n=this(n,r[i]);return n}})})),wn=Qe("algorithm02",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i,a){var o=e._data,s=e._size,u=e._datatype,c=n._values,f=n._index,l=n._ptr,p=n._size,m=n._datatype;if(s.length!==p.length)throw new Me(s.length,p.length);if(s[0]!==p[0]||s[1]!==p[1])throw new RangeError("Dimension mismatch. Matrix A ("+s+") must match Matrix B ("+p+")");if(!c)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var h,d=s[0],v=s[1],y=r,g=0,x=i;"string"==typeof u&&u===m&&(h=u,y=t.find(r,[h,h]),g=t.convert(0,h),x=t.find(i,[h,h]));for(var b=[],w=[],N=[],M=0;M<v;M++){N[M]=w.length;for(var E=l[M],S=l[M+1],A=E;A<S;A++){var O=f[A],C=a?x(c[A],o[O][M]):x(o[O][M],c[A]);y(C,g)||(w.push(O),b.push(C))}}return N[v]=w.length,n.createSparseMatrix({values:b,index:w,ptr:N,size:[d,v],datatype:h})}})),Nn=Qe("algorithm06",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i){var a=e._values,o=e._size,s=e._datatype,u=n._values,c=n._size,f=n._datatype;if(o.length!==c.length)throw new Me(o.length,c.length);if(o[0]!==c[0]||o[1]!==c[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+c+")");var l,p=o[0],m=o[1],h=r,d=0,v=i;"string"==typeof s&&s===f&&(l=s,h=t.find(r,[l,l]),d=t.convert(0,l),v=t.find(i,[l,l]));for(var y=a&&u?[]:void 0,g=[],x=[],b=y?[]:void 0,w=[],N=[],M=0;M<m;M++){x[M]=g.length;var E=M+1;if(Wt(e,M,w,b,N,E,g,v),Wt(n,M,w,b,N,E,g,v),b)for(var S=x[M];S<g.length;){var A=g[S];if(N[A]===E){var O=b[A];h(O,d)?g.splice(S,1):(y.push(O),S++)}else g.splice(S,1)}else for(var C=x[M];C<g.length;){N[g[C]]!==E?g.splice(C,1):C++}}return x[m]=g.length,e.createSparseMatrix({values:y,index:g,ptr:x,size:[p,m],datatype:l})}})),Mn=Qe("lcm",["typed","matrix","equalScalar"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=wn({typed:t,equalScalar:n}),a=Nn({typed:t,equalScalar:n}),o=en({typed:t,equalScalar:n}),s=xn({typed:t}),u=rn({typed:t});return t("lcm",{"number, number":qr,"BigNumber, BigNumber":function(e,t){if(!e.isInt()||!t.isInt())throw new Error("Parameters in function lcm must be integer numbers");if(e.isZero())return e;if(t.isZero())return t;var r=e.times(t);for(;!t.isZero();){var n=t;t=e.mod(n),e=n}return r.div(e).abs()},"Fraction, Fraction":function(e,t){return e.lcm(t)},"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return i(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return i(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return s(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, number | BigNumber":function(e,t){return o(e,t,this,!1)},"DenseMatrix, number | BigNumber":function(e,t){return u(e,t,this,!1)},"number | BigNumber, SparseMatrix":function(e,t){return o(t,e,this,!0)},"number | BigNumber, DenseMatrix":function(e,t){return u(t,e,this,!0)},"Array, number | BigNumber":function(e,t){return u(r(e),t,this,!1).valueOf()},"number | BigNumber, Array":function(e,t){return u(r(t),e,this,!0).valueOf()},"Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber":function(e,t,r){for(var n=this(e,t),i=0;i<r.length;i++)n=this(n,r[i]);return n}})})),En=Qe("log10",["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t("log10",{number:function(e){return e>=0||r.predictable?Br(e):new n(e,0).log().div(Math.LN10)},Complex:function(e){return new n(e).log().div(Math.LN10)},BigNumber:function(e){return!e.isNegative()||r.predictable?e.log():new n(e.toNumber(),0).log().div(Math.LN10)},"Array | Matrix":function(e){return Gt(e,this)}})})),Sn=Qe("log2",["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t("log2",{number:function(e){return e>=0||r.predictable?Dr(e):i(new n(e,0))},Complex:i,BigNumber:function(e){return!e.isNegative()||r.predictable?e.log(2):i(new n(e.toNumber(),0))},"Array | Matrix":function(e){return Gt(e,this)}});function i(e){var t=Math.sqrt(e.re*e.re+e.im*e.im);return new n(Math.log2?Math.log2(t):Math.log(t)/Math.LN2,Math.atan2(e.im,e.re)/Math.LN2)}})),An=Qe("algorithm03",["typed"],(function(e){var t=e.typed;return function(e,r,n,i){var a=e._data,o=e._size,s=e._datatype,u=r._values,c=r._index,f=r._ptr,l=r._size,p=r._datatype;if(o.length!==l.length)throw new Me(o.length,l.length);if(o[0]!==l[0]||o[1]!==l[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+l+")");if(!u)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var m,h=o[0],d=o[1],v=0,y=n;"string"==typeof s&&s===p&&(m=s,v=t.convert(0,m),y=t.find(n,[m,m]));for(var g=[],x=0;x<h;x++)g[x]=[];for(var b=[],w=[],N=0;N<d;N++){for(var M=N+1,E=f[N],S=f[N+1],A=E;A<S;A++){var O=c[A];b[O]=i?y(u[A],a[O][N]):y(a[O][N],u[A]),w[O]=M}for(var C=0;C<h;C++)w[C]===M?g[C][N]=b[C]:g[C][N]=i?y(v,a[C][N]):y(a[C][N],v)}return e.createDenseMatrix({data:g,size:[h,d],datatype:m})}})),On=Qe("algorithm05",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i){var a=e._values,o=e._index,s=e._ptr,u=e._size,c=e._datatype,f=n._values,l=n._index,p=n._ptr,m=n._size,h=n._datatype;if(u.length!==m.length)throw new Me(u.length,m.length);if(u[0]!==m[0]||u[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+m+")");var d,v=u[0],y=u[1],g=r,x=0,b=i;"string"==typeof c&&c===h&&(d=c,g=t.find(r,[d,d]),x=t.convert(0,d),b=t.find(i,[d,d]));var w,N,M,E,S=a&&f?[]:void 0,A=[],O=[],C=S?[]:void 0,T=S?[]:void 0,_=[],I=[];for(N=0;N<y;N++){O[N]=A.length;var k=N+1;for(M=s[N],E=s[N+1];M<E;M++)w=o[M],A.push(w),_[w]=k,C&&(C[w]=a[M]);for(M=p[N],E=p[N+1];M<E;M++)_[w=l[M]]!==k&&A.push(w),I[w]=k,T&&(T[w]=f[M]);if(S)for(M=O[N];M<A.length;){var z=_[w=A[M]],R=I[w];if(z===k||R===k){var q=b(z===k?C[w]:x,R===k?T[w]:x);g(q,x)?A.splice(M,1):(S.push(q),M++)}}}return O[y]=A.length,e.createSparseMatrix({values:S,index:A,ptr:O,size:[v,y],datatype:d})}})),Cn=Qe("mod",["typed","matrix","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.DenseMatrix,a=wn({typed:t,equalScalar:n}),o=An({typed:t}),s=On({typed:t,equalScalar:n}),u=en({typed:t,equalScalar:n}),c=tn({typed:t,DenseMatrix:i}),f=xn({typed:t}),l=rn({typed:t});return t("mod",{"number, number":jr,"BigNumber, BigNumber":function(e,t){if(t.isNeg())throw new Error("Cannot calculate mod for a negative divisor");return t.isZero()?e:e.mod(t)},"Fraction, Fraction":function(e,t){if(t.compare(0)<0)throw new Error("Cannot calculate mod for a negative divisor");return e.compare(0)>=0?e.mod(t):e.mod(t).add(t).mod(t)},"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,this,!1)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return f(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return u(e,t,this,!1)},"DenseMatrix, any":function(e,t){return l(e,t,this,!1)},"any, SparseMatrix":function(e,t){return c(t,e,this,!0)},"any, DenseMatrix":function(e,t){return l(t,e,this,!0)},"Array, any":function(e,t){return l(r(e),t,this,!1).valueOf()},"any, Array":function(e,t){return l(r(t),e,this,!0).valueOf()}})})),Tn=Qe("multiplyScalar",["typed"],(function(e){return(0,e.typed)("multiplyScalar",{"number, number":Or,"Complex, Complex":function(e,t){return e.mul(t)},"BigNumber, BigNumber":function(e,t){return e.times(t)},"Fraction, Fraction":function(e,t){return e.mul(t)},"number | Fraction | BigNumber | Complex, Unit":function(e,t){var r=t.clone();return r.value=null===r.value?r._normalize(e):this(r.value,e),r},"Unit, number | Fraction | BigNumber | Complex":function(e,t){var r=e.clone();return r.value=null===r.value?r._normalize(t):this(r.value,t),r},"Unit, Unit":function(e,t){return e.multiply(t)}})})),_n=Qe("multiply",["typed","matrix","addScalar","multiplyScalar","equalScalar","dot"],(function(e){var t=e.typed,r=e.matrix,n=e.addScalar,i=e.multiplyScalar,a=e.equalScalar,o=e.dot,s=en({typed:t,equalScalar:a}),u=rn({typed:t});function c(e,t){switch(e.length){case 1:switch(t.length){case 1:if(e[0]!==t[0])throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length");break;case 2:if(e[0]!==t[0])throw new RangeError("Dimension mismatch in multiplication. Vector length ("+e[0]+") must match Matrix rows ("+t[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+t.length+" dimensions)")}break;case 2:switch(t.length){case 1:if(e[1]!==t[0])throw new RangeError("Dimension mismatch in multiplication. Matrix columns ("+e[1]+") must match Vector length ("+t[0]+")");break;case 2:if(e[1]!==t[0])throw new RangeError("Dimension mismatch in multiplication. Matrix A columns ("+e[1]+") must match Matrix B rows ("+t[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+t.length+" dimensions)")}break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has "+e.length+" dimensions)")}}function f(e,r){if("dense"!==r.storage())throw new Error("Support for SparseMatrix not implemented");return function(e,r){var a,o=e._data,s=e._size,u=e._datatype,c=r._data,f=r._size,l=r._datatype,p=s[0],m=f[1],h=n,d=i;u&&l&&u===l&&"string"==typeof u&&(a=u,h=t.find(n,[a,a]),d=t.find(i,[a,a]));for(var v=[],y=0;y<m;y++){for(var g=d(o[0],c[0][y]),x=1;x<p;x++)g=h(g,d(o[x],c[x][y]));v[y]=g}return e.createDenseMatrix({data:v,size:[m],datatype:a})}(e,r)}var l=t("_multiplyMatrixVector",{"DenseMatrix, any":function(e,r){var a,o=e._data,s=e._size,u=e._datatype,c=r._data,f=r._datatype,l=s[0],p=s[1],m=n,h=i;u&&f&&u===f&&"string"==typeof u&&(a=u,m=t.find(n,[a,a]),h=t.find(i,[a,a]));for(var d=[],v=0;v<l;v++){for(var y=o[v],g=h(y[0],c[0]),x=1;x<p;x++)g=m(g,h(y[x],c[x]));d[v]=g}return e.createDenseMatrix({data:d,size:[l],datatype:a})},"SparseMatrix, any":function(e,r){var o=e._values,s=e._index,u=e._ptr,c=e._datatype;if(!o)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var f,l=r._data,p=r._datatype,m=e._size[0],h=r._size[0],d=[],v=[],y=[],g=n,x=i,b=a,w=0;c&&p&&c===p&&"string"==typeof c&&(f=c,g=t.find(n,[f,f]),x=t.find(i,[f,f]),b=t.find(a,[f,f]),w=t.convert(0,f));var N=[],M=[];y[0]=0;for(var E=0;E<h;E++){var S=l[E];if(!b(S,w))for(var A=u[E],O=u[E+1],C=A;C<O;C++){var T=s[C];M[T]?N[T]=g(N[T],x(S,o[C])):(M[T]=!0,v.push(T),N[T]=x(S,o[C]))}}for(var _=v.length,I=0;I<_;I++){var k=v[I];d[I]=N[k]}return y[1]=v.length,e.createSparseMatrix({values:d,index:v,ptr:y,size:[m,1],datatype:f})}}),p=t("_multiplyMatrixMatrix",{"DenseMatrix, DenseMatrix":function(e,r){var a,o=e._data,s=e._size,u=e._datatype,c=r._data,f=r._size,l=r._datatype,p=s[0],m=s[1],h=f[1],d=n,v=i;u&&l&&u===l&&"string"==typeof u&&(a=u,d=t.find(n,[a,a]),v=t.find(i,[a,a]));for(var y=[],g=0;g<p;g++){var x=o[g];y[g]=[];for(var b=0;b<h;b++){for(var w=v(x[0],c[0][b]),N=1;N<m;N++)w=d(w,v(x[N],c[N][b]));y[g][b]=w}}return e.createDenseMatrix({data:y,size:[p,h],datatype:a})},"DenseMatrix, SparseMatrix":function(e,r){var o=e._data,s=e._size,u=e._datatype,c=r._values,f=r._index,l=r._ptr,p=r._size,m=r._datatype;if(!c)throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix");var h,d=s[0],v=p[1],y=n,g=i,x=a,b=0;u&&m&&u===m&&"string"==typeof u&&(h=u,y=t.find(n,[h,h]),g=t.find(i,[h,h]),x=t.find(a,[h,h]),b=t.convert(0,h));for(var w=[],N=[],M=[],E=r.createSparseMatrix({values:w,index:N,ptr:M,size:[d,v],datatype:h}),S=0;S<v;S++){M[S]=N.length;var A=l[S],O=l[S+1];if(O>A)for(var C=0,T=0;T<d;T++){for(var _=T+1,I=void 0,k=A;k<O;k++){var z=f[k];C!==_?(I=g(o[T][z],c[k]),C=_):I=y(I,g(o[T][z],c[k]))}C!==_||x(I,b)||(N.push(T),w.push(I))}}return M[v]=N.length,E},"SparseMatrix, DenseMatrix":function(e,r){var o=e._values,s=e._index,u=e._ptr,c=e._datatype;if(!o)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var f,l=r._data,p=r._datatype,m=e._size[0],h=r._size[0],d=r._size[1],v=n,y=i,g=a,x=0;c&&p&&c===p&&"string"==typeof c&&(f=c,v=t.find(n,[f,f]),y=t.find(i,[f,f]),g=t.find(a,[f,f]),x=t.convert(0,f));for(var b=[],w=[],N=[],M=e.createSparseMatrix({values:b,index:w,ptr:N,size:[m,d],datatype:f}),E=[],S=[],A=0;A<d;A++){N[A]=w.length;for(var O=A+1,C=0;C<h;C++){var T=l[C][A];if(!g(T,x))for(var _=u[C],I=u[C+1],k=_;k<I;k++){var z=s[k];S[z]!==O?(S[z]=O,w.push(z),E[z]=y(T,o[k])):E[z]=v(E[z],y(T,o[k]))}}for(var R=N[A],q=w.length,B=R;B<q;B++){var D=w[B];b[B]=E[D]}}return N[d]=w.length,M},"SparseMatrix, SparseMatrix":function(e,r){var a,o=e._values,s=e._index,u=e._ptr,c=e._datatype,f=r._values,l=r._index,p=r._ptr,m=r._datatype,h=e._size[0],d=r._size[1],v=o&&f,y=n,g=i;c&&m&&c===m&&"string"==typeof c&&(a=c,y=t.find(n,[a,a]),g=t.find(i,[a,a]));for(var x,b,w,N,M,E,S,A,O=v?[]:void 0,C=[],T=[],_=e.createSparseMatrix({values:O,index:C,ptr:T,size:[h,d],datatype:a}),I=v?[]:void 0,k=[],z=0;z<d;z++){T[z]=C.length;var R=z+1;for(M=p[z],E=p[z+1],N=M;N<E;N++)if(A=l[N],v)for(b=u[A],w=u[A+1],x=b;x<w;x++)S=s[x],k[S]!==R?(k[S]=R,C.push(S),I[S]=g(f[N],o[x])):I[S]=y(I[S],g(f[N],o[x]));else for(b=u[A],w=u[A+1],x=b;x<w;x++)S=s[x],k[S]!==R&&(k[S]=R,C.push(S));if(v)for(var q=T[z],B=C.length,D=q;D<B;D++){var j=C[D];O[D]=I[j]}}return T[d]=C.length,_}});return t("multiply",Ve({"Array, Array":function(e,t){c(Se(e),Se(t));var n=this(r(e),r(t));return m(n)?n.valueOf():n},"Matrix, Matrix":function(e,t){var r=e.size(),n=t.size();return c(r,n),1===r.length?1===n.length?function(e,t,r){if(0===r)throw new Error("Cannot multiply two empty vectors");return o(e,t)}(e,t,r[0]):f(e,t):1===n.length?l(e,t):p(e,t)},"Matrix, Array":function(e,t){return this(e,r(t))},"Array, Matrix":function(e,t){return this(r(e,t.storage()),t)},"SparseMatrix, any":function(e,t){return s(e,t,i,!1)},"DenseMatrix, any":function(e,t){return u(e,t,i,!1)},"any, SparseMatrix":function(e,t){return s(t,e,i,!0)},"any, DenseMatrix":function(e,t){return u(t,e,i,!0)},"Array, any":function(e,t){return u(r(e),t,i,!1).valueOf()},"any, Array":function(e,t){return u(r(t),e,i,!0).valueOf()},"any, any":i,"any, any, ...any":function(e,t,r){for(var n=this(e,t),i=0;i<r.length;i++)n=this(n,r[i]);return n}},i.signatures))})),In=Qe("nthRoot",["typed","matrix","equalScalar","BigNumber"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.BigNumber,a=vn({typed:t}),o=wn({typed:t,equalScalar:n}),s=Nn({typed:t,equalScalar:n}),u=en({typed:t,equalScalar:n}),c=xn({typed:t}),f=rn({typed:t}),l="Complex number not supported in function nthRoot. Use nthRoots instead.";return t("nthRoot",{number:Pr,"number, number":Pr,BigNumber:function(e){return p(e,new i(2))},Complex:function(e){throw new Error(l)},"Complex, number":function(e,t){throw new Error(l)},"BigNumber, BigNumber":p,"Array | Matrix":function(e){return this(e,2)},"SparseMatrix, SparseMatrix":function(e,t){if(1===t.density())return s(e,t,this);throw new Error("Root must be non-zero")},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){if(1===t.density())return a(e,t,this,!1);throw new Error("Root must be non-zero")},"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, number | BigNumber":function(e,t){return u(e,t,this,!1)},"DenseMatrix, number | BigNumber":function(e,t){return f(e,t,this,!1)},"number | BigNumber, SparseMatrix":function(e,t){if(1===t.density())return u(t,e,this,!0);throw new Error("Root must be non-zero")},"number | BigNumber, DenseMatrix":function(e,t){return f(t,e,this,!0)},"Array, number | BigNumber":function(e,t){return this(r(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return this(e,r(t)).valueOf()}});function p(e,t){var r=i.precision,n=i.clone({precision:r+2}),a=new i(0),o=new n(1),s=t.isNegative();if(s&&(t=t.neg()),t.isZero())throw new Error("Root must be non-zero");if(e.isNegative()&&!t.abs().mod(2).equals(1))throw new Error("Root must be odd when a is negative.");if(e.isZero())return s?new n(1/0):0;if(!e.isFinite())return s?a:e;var u=e.abs().pow(o.div(t));return u=e.isNeg()?u.neg():u,new i((s?o.div(u):u).toPrecision(r))}})),kn=Qe("sign",["typed","BigNumber","Fraction","complex"],(function(e){var t=e.typed,r=e.BigNumber,n=e.complex,i=e.Fraction;return t("sign",{number:Fr,Complex:function(e){return 0===e.im?n(Fr(e.re)):e.sign()},BigNumber:function(e){return new r(e.cmp(0))},Fraction:function(e){return new i(e.s,1)},"Array | Matrix":function(e){return Gt(e,this,!0)},Unit:function(e){if(!e._isDerived()&&0!==e.units[0].unit.offset)throw new TypeError("sign is ambiguous for units with offset");return this(e.value)}})})),zn=Qe("sqrt",["config","typed","Complex"],(function(e){var t=e.config,r=e.typed,n=e.Complex;return r("sqrt",{number:i,Complex:function(e){return e.sqrt()},BigNumber:function(e){return!e.isNegative()||t.predictable?e.sqrt():i(e.toNumber())},"Array | Matrix":function(e){return Gt(e,this,!0)},Unit:function(e){return e.pow(.5)}});function i(e){return isNaN(e)?NaN:e>=0||t.predictable?Math.sqrt(e):new n(e,0).sqrt()}})),Rn=Qe("square",["typed"],(function(e){return(0,e.typed)("square",{number:Ur,Complex:function(e){return e.mul(e)},BigNumber:function(e){return e.times(e)},Fraction:function(e){return e.mul(e)},"Array | Matrix":function(e){return Gt(e,this,!0)},Unit:function(e){return e.pow(2)}})})),qn=Qe("subtract",["typed","matrix","equalScalar","addScalar","unaryMinus","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.addScalar,a=e.unaryMinus,o=e.DenseMatrix,s=vn({typed:t}),u=An({typed:t}),c=On({typed:t,equalScalar:n}),f=gn({typed:t,DenseMatrix:o}),l=xn({typed:t}),p=rn({typed:t});return t("subtract",{"number, number":function(e,t){return e-t},"Complex, Complex":function(e,t){return e.sub(t)},"BigNumber, BigNumber":function(e,t){return e.minus(t)},"Fraction, Fraction":function(e,t){return e.sub(t)},"Unit, Unit":function(e,t){if(null===e.value)throw new Error("Parameter x contains a unit with undefined value");if(null===t.value)throw new Error("Parameter y contains a unit with undefined value");if(!e.equalBase(t))throw new Error("Units do not match");var r=e.clone();return r.value=this(r.value,t.value),r.fixPrefix=!1,r},"SparseMatrix, SparseMatrix":function(e,t){return Bn(e,t),c(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return Bn(e,t),u(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return Bn(e,t),s(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return Bn(e,t),l(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return f(e,a(t),i)},"DenseMatrix, any":function(e,t){return p(e,t,this)},"any, SparseMatrix":function(e,t){return f(t,e,this,!0)},"any, DenseMatrix":function(e,t){return p(t,e,this,!0)},"Array, any":function(e,t){return p(r(e),t,this,!1).valueOf()},"any, Array":function(e,t){return p(r(t),e,this,!0).valueOf()}})}));function Bn(e,t){var r=e.size(),n=t.size();if(r.length!==n.length)throw new Me(r.length,n.length)}var Dn=Qe("xgcd",["typed","config","matrix","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.BigNumber;return t("xgcd",{"number, number":function(e,t){var i=Lr(e,t);return"Array"===r.matrix?i:n(i)},"BigNumber, BigNumber":function(e,t){var a,o,s,u,c=new i(0),f=new i(1),l=c,p=f,m=f,h=c;if(!e.isInt()||!t.isInt())throw new Error("Parameters in function xgcd must be integer numbers");for(;!t.isZero();)o=e.div(t).floor(),s=e.mod(t),a=l,l=p.minus(o.times(l)),p=a,a=m,m=h.minus(o.times(m)),h=a,e=t,t=s;u=e.lt(c)?[e.neg(),p.neg(),h.neg()]:[e,e.isZero()?0:p,h];return"Array"===r.matrix?u:n(u)}})})),jn=Qe("invmod",["typed","config","BigNumber","xgcd","equal","smaller","mod","add","isInteger"],(function(e){var t=e.typed,r=(e.config,e.BigNumber),n=e.xgcd,i=e.equal,a=e.smaller,o=e.mod,s=e.add,u=e.isInteger;return t("invmod",{"number, number":c,"BigNumber, BigNumber":c});function c(e,t){if(!u(e)||!u(t))throw new Error("Parameters in function invmod must be integer numbers");if(e=o(e,t),i(t,0))throw new Error("Divisor must be non zero");var c=n(e,t),f=c=c.valueOf(),l=Kr()(f,2),p=l[0],m=l[1];return i(p,r(1))?(m=o(m,t),a(m,r(0))&&(m=s(m,t)),m):NaN}})),Pn=Qe("algorithm09",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i){var a=e._values,o=e._index,s=e._ptr,u=e._size,c=e._datatype,f=n._values,l=n._index,p=n._ptr,m=n._size,h=n._datatype;if(u.length!==m.length)throw new Me(u.length,m.length);if(u[0]!==m[0]||u[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+m+")");var d,v=u[0],y=u[1],g=r,x=0,b=i;"string"==typeof c&&c===h&&(d=c,g=t.find(r,[d,d]),x=t.convert(0,d),b=t.find(i,[d,d]));var w,N,M,E,S,A=a&&f?[]:void 0,O=[],C=[],T=A?[]:void 0,_=[];for(N=0;N<y;N++){C[N]=O.length;var I=N+1;if(T)for(E=p[N],S=p[N+1],M=E;M<S;M++)_[w=l[M]]=I,T[w]=f[M];for(E=s[N],S=s[N+1],M=E;M<S;M++)if(w=o[M],T){var k=_[w]===I?T[w]:x,z=b(a[M],k);g(z,x)||(O.push(w),A.push(z))}else O.push(w)}return C[y]=O.length,e.createSparseMatrix({values:A,index:O,ptr:C,size:[v,y],datatype:d})}})),Fn=Qe("dotMultiply",["typed","matrix","equalScalar","multiplyScalar"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.multiplyScalar,a=wn({typed:t,equalScalar:n}),o=Pn({typed:t,equalScalar:n}),s=en({typed:t,equalScalar:n}),u=xn({typed:t}),c=rn({typed:t});return t("dotMultiply",{"any, any":i,"SparseMatrix, SparseMatrix":function(e,t){return o(e,t,i,!1)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,i,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,i,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,i)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return s(e,t,i,!1)},"DenseMatrix, any":function(e,t){return c(e,t,i,!1)},"any, SparseMatrix":function(e,t){return s(t,e,i,!0)},"any, DenseMatrix":function(e,t){return c(t,e,i,!0)},"Array, any":function(e,t){return c(r(e),t,i,!1).valueOf()},"any, Array":function(e,t){return c(r(t),e,i,!0).valueOf()}})}));function Un(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitAnd");var r=e.constructor;if(e.isNaN()||t.isNaN())return new r(NaN);if(e.isZero()||t.eq(-1)||e.eq(t))return e;if(t.isZero()||e.eq(-1))return t;if(!e.isFinite()||!t.isFinite()){if(!e.isFinite()&&!t.isFinite())return e.isNegative()===t.isNegative()?e:new r(0);if(!e.isFinite())return t.isNegative()?e:e.isNegative()?new r(0):t;if(!t.isFinite())return e.isNegative()?t:t.isNegative()?new r(0):e}return Hn(e,t,(function(e,t){return e&t}))}function Ln(e){if(e.isFinite()&&!e.isInteger())throw new Error("Integer expected in function bitNot");var t=e.constructor,r=t.precision;t.config({precision:1e9});var n=e.plus(new t(1));return n.s=-n.s||null,t.config({precision:r}),n}function $n(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitOr");var r=e.constructor;if(e.isNaN()||t.isNaN())return new r(NaN);var n=new r(-1);return e.isZero()||t.eq(n)||e.eq(t)?t:t.isZero()||e.eq(n)?e:e.isFinite()&&t.isFinite()?Hn(e,t,(function(e,t){return e|t})):!e.isFinite()&&!e.isNegative()&&t.isNegative()||e.isNegative()&&!t.isNegative()&&!t.isFinite()?n:e.isNegative()&&t.isNegative()?e.isFinite()?e:t:e.isFinite()?t:e}function Hn(e,t,r){var n,i,a,o,s,u=e.constructor,c=+(e.s<0),f=+(t.s<0);if(c){n=Gn(Ln(e));for(var l=0;l<n.length;++l)n[l]^=1}else n=Gn(e);if(f){i=Gn(Ln(t));for(var p=0;p<i.length;++p)i[p]^=1}else i=Gn(t);n.length<=i.length?(a=n,o=i,s=c):(a=i,o=n,s=f);var m=a.length,h=o.length,d=1^r(c,f),v=new u(1^d),y=new u(1),g=new u(2),x=u.precision;for(u.config({precision:1e9});m>0;)r(a[--m],o[--h])===d&&(v=v.plus(y)),y=y.times(g);for(;h>0;)r(s,o[--h])===d&&(v=v.plus(y)),y=y.times(g);return u.config({precision:x}),0===d&&(v.s=-v.s),v}function Gn(e){for(var t=e.d,r=t[0]+"",n=1;n<t.length;++n){for(var i=t[n]+"",a=7-i.length;a--;)i="0"+i;r+=i}for(var o=r.length;"0"===r.charAt(o);)o--;var s=e.e,u=r.slice(0,o+1||1),c=u.length;if(s>0)if(++s>c)for(s-=c;s--;)u+="0";else s<c&&(u=u.slice(0,s)+"."+u.slice(s));for(var f=[0],l=0;l<u.length;){for(var p=f.length;p--;)f[p]*=10;f[0]+=parseInt(u.charAt(l++));for(var m=0;m<f.length;++m)f[m]>1&&(null!==f[m+1]&&void 0!==f[m+1]||(f[m+1]=0),f[m+1]+=f[m]>>1,f[m]&=1)}return f.reverse()}function Vn(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function bitXor");var r=e.constructor;if(e.isNaN()||t.isNaN())return new r(NaN);if(e.isZero())return t;if(t.isZero())return e;if(e.eq(t))return new r(0);var n=new r(-1);return e.eq(n)?Ln(t):t.eq(n)?Ln(e):e.isFinite()&&t.isFinite()?Hn(e,t,(function(e,t){return e^t})):e.isFinite()||t.isFinite()?new r(e.isNegative()===t.isNegative()?1/0:-1/0):n}function Zn(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function leftShift");var r=e.constructor;return e.isNaN()||t.isNaN()||t.isNegative()&&!t.isZero()?new r(NaN):e.isZero()||t.isZero()?e:e.isFinite()||t.isFinite()?t.lt(55)?e.times(Math.pow(2,t.toNumber())+""):e.times(new r(2).pow(t)):new r(NaN)}function Wn(e,t){if(e.isFinite()&&!e.isInteger()||t.isFinite()&&!t.isInteger())throw new Error("Integers expected in function rightArithShift");var r=e.constructor;return e.isNaN()||t.isNaN()||t.isNegative()&&!t.isZero()?new r(NaN):e.isZero()||t.isZero()?e:t.isFinite()?t.lt(55)?e.div(Math.pow(2,t.toNumber())+"").floor():e.div(new r(2).pow(t)).floor():e.isNegative()?new r(-1):e.isFinite()?new r(0):new r(NaN)}var Yn="number, number";function Jn(e,t){if(!Z(e)||!Z(t))throw new Error("Integers expected in function bitAnd");return e&t}function Xn(e){if(!Z(e))throw new Error("Integer expected in function bitNot");return~e}function Qn(e,t){if(!Z(e)||!Z(t))throw new Error("Integers expected in function bitOr");return e|t}function Kn(e,t){if(!Z(e)||!Z(t))throw new Error("Integers expected in function bitXor");return e^t}function ei(e,t){if(!Z(e)||!Z(t))throw new Error("Integers expected in function leftShift");return e<<t}function ti(e,t){if(!Z(e)||!Z(t))throw new Error("Integers expected in function rightArithShift");return e>>t}function ri(e,t){if(!Z(e)||!Z(t))throw new Error("Integers expected in function rightLogShift");return e>>>t}Jn.signature=Yn,Xn.signature="number",Qn.signature=Yn,Kn.signature=Yn,ei.signature=Yn,ti.signature=Yn,ri.signature=Yn;var ni=Qe("bitAnd",["typed","matrix","equalScalar"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=wn({typed:t,equalScalar:n}),a=Nn({typed:t,equalScalar:n}),o=en({typed:t,equalScalar:n}),s=xn({typed:t}),u=rn({typed:t});return t("bitAnd",{"number, number":Jn,"BigNumber, BigNumber":Un,"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,this,!1)},"SparseMatrix, DenseMatrix":function(e,t){return i(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return i(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return s(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return o(e,t,this,!1)},"DenseMatrix, any":function(e,t){return u(e,t,this,!1)},"any, SparseMatrix":function(e,t){return o(t,e,this,!0)},"any, DenseMatrix":function(e,t){return u(t,e,this,!0)},"Array, any":function(e,t){return u(r(e),t,this,!1).valueOf()},"any, Array":function(e,t){return u(r(t),e,this,!0).valueOf()}})})),ii=Qe("bitNot",["typed"],(function(e){return(0,e.typed)("bitNot",{number:Xn,BigNumber:Ln,"Array | Matrix":function(e){return Gt(e,this)}})})),ai=Qe("bitOr",["typed","matrix","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.DenseMatrix,a=vn({typed:t}),o=yn({typed:t,equalScalar:n}),s=gn({typed:t,DenseMatrix:i}),u=xn({typed:t}),c=rn({typed:t});return t("bitOr",{"number, number":Qn,"BigNumber, BigNumber":$n,"SparseMatrix, SparseMatrix":function(e,t){return o(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return s(e,t,this,!1)},"DenseMatrix, any":function(e,t){return c(e,t,this,!1)},"any, SparseMatrix":function(e,t){return s(t,e,this,!0)},"any, DenseMatrix":function(e,t){return c(t,e,this,!0)},"Array, any":function(e,t){return c(r(e),t,this,!1).valueOf()},"any, Array":function(e,t){return c(r(t),e,this,!0).valueOf()}})})),oi=Qe("algorithm07",["typed","DenseMatrix"],(function(e){var t=e.typed,r=e.DenseMatrix;return function(e,i,a){var o=e._size,s=e._datatype,u=i._size,c=i._datatype;if(o.length!==u.length)throw new Me(o.length,u.length);if(o[0]!==u[0]||o[1]!==u[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+u+")");var f,l,p,m=o[0],h=o[1],d=0,v=a;"string"==typeof s&&s===c&&(f=s,d=t.convert(0,f),v=t.find(a,[f,f]));var y=[];for(l=0;l<m;l++)y[l]=[];var g=[],x=[],b=[],w=[];for(p=0;p<h;p++){var N=p+1;for(n(e,p,b,g,N),n(i,p,w,x,N),l=0;l<m;l++){var M=b[l]===N?g[l]:d,E=w[l]===N?x[l]:d;y[l][p]=v(M,E)}}return new r({data:y,size:[m,h],datatype:f})};function n(e,t,r,n,i){for(var a=e._values,o=e._index,s=e._ptr,u=s[t],c=s[t+1];u<c;u++){var f=o[u];r[f]=i,n[f]=a[u]}}})),si=Qe("bitXor",["typed","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.DenseMatrix,i=An({typed:t}),a=oi({typed:t,DenseMatrix:n}),o=tn({typed:t,DenseMatrix:n}),s=xn({typed:t}),u=rn({typed:t});return t("bitXor",{"number, number":Kn,"BigNumber, BigNumber":Vn,"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return i(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return i(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return s(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return o(e,t,this,!1)},"DenseMatrix, any":function(e,t){return u(e,t,this,!1)},"any, SparseMatrix":function(e,t){return o(t,e,this,!0)},"any, DenseMatrix":function(e,t){return u(t,e,this,!0)},"Array, any":function(e,t){return u(r(e),t,this,!1).valueOf()},"any, Array":function(e,t){return u(r(t),e,this,!0).valueOf()}})})),ui=Qe("arg",["typed"],(function(e){return(0,e.typed)("arg",{number:function(e){return Math.atan2(0,e)},BigNumber:function(e){return e.constructor.atan2(0,e)},Complex:function(e){return e.arg()},"Array | Matrix":function(e){return Gt(e,this)}})})),ci=Qe("conj",["typed"],(function(e){return(0,e.typed)("conj",{number:function(e){return e},BigNumber:function(e){return e},Complex:function(e){return e.conjugate()},"Array | Matrix":function(e){return Gt(e,this)}})})),fi=Qe("im",["typed"],(function(e){return(0,e.typed)("im",{number:function(e){return 0},BigNumber:function(e){return e.mul(0)},Fraction:function(e){return e.mul(0)},Complex:function(e){return e.im},"Array | Matrix":function(e){return Gt(e,this)}})})),li=Qe("re",["typed"],(function(e){return(0,e.typed)("re",{number:function(e){return e},BigNumber:function(e){return e},Fraction:function(e){return e},Complex:function(e){return e.re},"Array | Matrix":function(e){return Gt(e,this)}})}));function pi(e){return!e}function mi(e,t){return!(!e&&!t)}function hi(e,t){return!!e!=!!t}function di(e,t){return!(!e||!t)}pi.signature="number",mi.signature="number, number",hi.signature="number, number",di.signature="number, number";var vi=Qe("not",["typed"],(function(e){return(0,e.typed)("not",{number:pi,Complex:function(e){return 0===e.re&&0===e.im},BigNumber:function(e){return e.isZero()||e.isNaN()},Unit:function(e){return null===e.value||this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),yi=Qe("or",["typed","matrix","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.DenseMatrix,a=An({typed:t}),o=On({typed:t,equalScalar:n}),s=tn({typed:t,DenseMatrix:i}),u=xn({typed:t}),c=rn({typed:t});return t("or",{"number, number":mi,"Complex, Complex":function(e,t){return 0!==e.re||0!==e.im||0!==t.re||0!==t.im},"BigNumber, BigNumber":function(e,t){return!e.isZero()&&!e.isNaN()||!t.isZero()&&!t.isNaN()},"Unit, Unit":function(e,t){return this(e.value||0,t.value||0)},"SparseMatrix, SparseMatrix":function(e,t){return o(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return s(e,t,this,!1)},"DenseMatrix, any":function(e,t){return c(e,t,this,!1)},"any, SparseMatrix":function(e,t){return s(t,e,this,!0)},"any, DenseMatrix":function(e,t){return c(t,e,this,!0)},"Array, any":function(e,t){return c(r(e),t,this,!1).valueOf()},"any, Array":function(e,t){return c(r(t),e,this,!0).valueOf()}})})),gi=Qe("xor",["typed","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.DenseMatrix,i=An({typed:t}),a=oi({typed:t,DenseMatrix:n}),o=tn({typed:t,DenseMatrix:n}),s=xn({typed:t}),u=rn({typed:t});return t("xor",{"number, number":hi,"Complex, Complex":function(e,t){return(0!==e.re||0!==e.im)!=(0!==t.re||0!==t.im)},"BigNumber, BigNumber":function(e,t){return(!e.isZero()&&!e.isNaN())!=(!t.isZero()&&!t.isNaN())},"Unit, Unit":function(e,t){return this(e.value||0,t.value||0)},"SparseMatrix, SparseMatrix":function(e,t){return a(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return i(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return i(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return s(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return o(e,t,this,!1)},"DenseMatrix, any":function(e,t){return u(e,t,this,!1)},"any, SparseMatrix":function(e,t){return o(t,e,this,!0)},"any, DenseMatrix":function(e,t){return u(t,e,this,!0)},"Array, any":function(e,t){return u(r(e),t,this,!1).valueOf()},"any, Array":function(e,t){return u(r(t),e,this,!0).valueOf()}})})),xi=Qe("concat",["typed","matrix","isInteger"],(function(e){var t=e.typed,r=e.matrix,n=e.isInteger;return t("concat",{"...Array | Matrix | number | BigNumber":function(e){var t,i,a=e.length,u=-1,c=!1,f=[];for(t=0;t<a;t++){var l=e[t];if(m(l)&&(c=!0),o(l)||s(l)){if(t!==a-1)throw new Error("Dimension must be specified as last argument");if(i=u,u=l.valueOf(),!n(u))throw new TypeError("Integer number expected for dimension");if(u<0||t>0&&u>i)throw new Ee(u,i+1)}else{var p=He(l).valueOf(),h=Se(p);if(f[t]=p,i=u,u=h.length-1,t>0&&u!==i)throw new Me(i+1,u+1)}}if(0===f.length)throw new SyntaxError("At least one matrix expected");for(var d=f.shift();f.length;)d=bi(d,f.shift(),u,0);return c?r(d):d},"...string":function(e){return e.join("")}})}));function bi(e,t,r,n){if(n<r){if(e.length!==t.length)throw new Me(e.length,t.length);for(var i=[],a=0;a<e.length;a++)i[a]=bi(e[a],t[a],r,n+1);return i}return e.concat(t)}var wi=Qe("column",["typed","Index","matrix","range"],(function(e){var t=e.typed,r=e.Index,n=e.matrix,i=e.range;return t("column",{"Matrix, number":a,"Array, number":function(e,t){return a(n(He(e)),t).valueOf()}});function a(e,t){if(2!==e.size().length)throw new Error("Only two dimensional matrix is supported");Oe(t,e.size()[1]);var n=i(0,e.size()[0]),a=new r(n,t);return e.subset(a)}})),Ni=Qe("count",["typed","size","prod"],(function(e){var t=e.typed,r=e.size,n=e.prod;return t("count",{string:function(e){return e.length},"Matrix | Array":function(e){return n(r(e))}})})),Mi=Qe("cross",["typed","matrix","subtract","multiply"],(function(e){var t=e.typed,r=e.matrix,n=e.subtract,i=e.multiply;return t("cross",{"Matrix, Matrix":function(e,t){return r(a(e.toArray(),t.toArray()))},"Matrix, Array":function(e,t){return r(a(e.toArray(),t))},"Array, Matrix":function(e,t){return r(a(e,t.toArray()))},"Array, Array":a});function a(e,t){var r=Math.max(Se(e).length,Se(t).length);e=ke(e),t=ke(t);var a=Se(e),o=Se(t);if(1!==a.length||1!==o.length||3!==a[0]||3!==o[0])throw new RangeError("Vectors with length 3 expected (Size A = ["+a.join(", ")+"], B = ["+o.join(", ")+"])");var s=[n(i(e[1],t[2]),i(e[2],t[1])),n(i(e[2],t[0]),i(e[0],t[2])),n(i(e[0],t[1]),i(e[1],t[0]))];return r>1?[s]:s}})),Ei=Qe("diag",["typed","matrix","DenseMatrix","SparseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.DenseMatrix,i=e.SparseMatrix;return t("diag",{Array:function(e){return a(e,0,Se(e),null)},"Array, number":function(e,t){return a(e,t,Se(e),null)},"Array, BigNumber":function(e,t){return a(e,t.toNumber(),Se(e),null)},"Array, string":function(e,t){return a(e,0,Se(e),t)},"Array, number, string":function(e,t,r){return a(e,t,Se(e),r)},"Array, BigNumber, string":function(e,t,r){return a(e,t.toNumber(),Se(e),r)},Matrix:function(e){return a(e,0,e.size(),e.storage())},"Matrix, number":function(e,t){return a(e,t,e.size(),e.storage())},"Matrix, BigNumber":function(e,t){return a(e,t.toNumber(),e.size(),e.storage())},"Matrix, string":function(e,t){return a(e,0,e.size(),t)},"Matrix, number, string":function(e,t,r){return a(e,t,e.size(),r)},"Matrix, BigNumber, string":function(e,t,r){return a(e,t.toNumber(),e.size(),r)}});function a(e,t,a,o){if(!Z(t))throw new TypeError("Second parameter in function diag must be an integer");var s=t>0?t:0,u=t<0?-t:0;switch(a.length){case 1:return function(e,t,r,a,o,s){var u=[a+o,a+s];if(r&&"sparse"!==r&&"dense"!==r)throw new TypeError("Unknown matrix type ".concat(r,'"'));var c="sparse"===r?i.diagonal(u,e,t):n.diagonal(u,e,t);return null!==r?c:c.valueOf()}(e,t,o,a[0],u,s);case 2:return function(e,t,n,i,a,o){if(m(e)){var s=e.diagonal(t);return null!==n?n!==s.storage()?r(s,n):s:s.valueOf()}for(var u=Math.min(i[0]-a,i[1]-o),c=[],f=0;f<u;f++)c[f]=e[f+a][f+o];return null!==n?r(c):c}(e,t,o,a,u,s)}throw new RangeError("Matrix for function diag must be 2 dimensional")}}));function Si(e){var t=0,r=1,n=Object.create(null),i=Object.create(null),a=0,o=function(e){var o=i[e];if(o&&(delete n[o],delete i[e],--t,r===o)){if(!t)return a=0,void(r=1);for(;!hasOwnProperty.call(n,++r););}};return e=Math.abs(e),{hit:function(s){var u=i[s],c=++a;if(n[c]=s,i[s]=c,!u){if(++t<=e)return;return s=n[r],o(s),s}if(delete n[u],r===u)for(;!hasOwnProperty.call(n,++r););},delete:o,clear:function(){t=a=0,r=1,n=Object.create(null),i=Object.create(null)}}}function Ai(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{},r=t.hasher,n=t.limit;return n=null==n?Number.POSITIVE_INFINITY:n,r=null==r?JSON.stringify:r,function t(){"object"!==a()(t.cache)&&(t.cache={values:new Map,lru:Si(n||Number.POSITIVE_INFINITY)});for(var i=[],o=0;o<arguments.length;o++)i[o]=arguments[o];var s=r(i);if(t.cache.values.has(s))return t.cache.lru.hit(s),t.cache.values.get(s);var u=e.apply(e,i);return t.cache.values.set(s,u),t.cache.values.delete(t.cache.lru.hit(s)),u}}function Oi(e){return Object.keys(e.signatures||{}).reduce((function(e,t){var r=(t.match(/,/g)||[]).length+1;return Math.max(e,r)}),-1)}var Ci=Qe("filter",["typed"],(function(e){return(0,e.typed)("filter",{"Array, function":Ti,"Matrix, function":function(e,t){return e.create(Ti(e.toArray(),t))},"Array, RegExp":je,"Matrix, RegExp":function(e,t){return e.create(je(e.toArray(),t))}})}));function Ti(e,t){var r=Oi(t);return De(e,(function(e,n,i){return 1===r?t(e):2===r?t(e,[n]):t(e,[n],i)}))}var _i=Qe("flatten",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix;return t("flatten",{Array:function(e){return Re(He(e))},Matrix:function(e){var t=Re(He(e.toArray()));return r(t)}})})),Ii=Qe("forEach",["typed"],(function(e){return(0,e.typed)("forEach",{"Array, function":ki,"Matrix, function":function(e,t){return e.forEach(t)}})}));function ki(e,t){var r=Oi(t);!function n(i,a){Array.isArray(i)?Be(i,(function(e,t){n(e,a.concat(t))})):1===r?t(i):2===r?t(i,a):t(i,a,e)}(e,[])}var zi=Qe("getMatrixDataType",["typed"],(function(e){return(0,e.typed)("getMatrixDataType",{Array:function(e){return Le(e,H)},Matrix:function(e){return e.getDataType()}})})),Ri=Qe("identity",["typed","config","matrix","BigNumber","DenseMatrix","SparseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.BigNumber,a=e.DenseMatrix,o=e.SparseMatrix;return t("identity",{"":function(){return"Matrix"===r.matrix?n([]):[]},string:function(e){return n(e)},"number | BigNumber":function(e){return c(e,e,"Matrix"===r.matrix?"dense":void 0)},"number | BigNumber, string":function(e,t){return c(e,e,t)},"number | BigNumber, number | BigNumber":function(e,t){return c(e,t,"Matrix"===r.matrix?"dense":void 0)},"number | BigNumber, number | BigNumber, string":function(e,t,r){return c(e,t,r)},Array:function(e){return u(e)},"Array, string":function(e,t){return u(e,t)},Matrix:function(e){return u(e.valueOf(),e.storage())},"Matrix, string":function(e,t){return u(e.valueOf(),t)}});function u(e,t){switch(e.length){case 0:return t?n(t):[];case 1:return c(e[0],e[0],t);case 2:return c(e[0],e[1],t);default:throw new Error("Vector containing two values expected")}}function c(e,t,r){var n=s(e)||s(t)?i:null;if(s(e)&&(e=e.toNumber()),s(t)&&(t=t.toNumber()),!Z(e)||e<1)throw new Error("Parameters in function identity must be positive integers");if(!Z(t)||t<1)throw new Error("Parameters in function identity must be positive integers");var u=n?new i(1):1,c=n?new n(0):0,f=[e,t];if(r){if("sparse"===r)return o.diagonal(f,u,0,c);if("dense"===r)return a.diagonal(f,u,0,c);throw new TypeError('Unknown matrix type "'.concat(r,'"'))}for(var l=Ce([],f,c),p=e<t?e:t,m=0;m<p;m++)l[m][m]=u;return l}})),qi=Qe("kron",["typed","matrix","multiplyScalar"],(function(e){var t=e.typed,r=e.matrix,n=e.multiplyScalar;return t("kron",{"Matrix, Matrix":function(e,t){return r(i(e.toArray(),t.toArray()))},"Matrix, Array":function(e,t){return r(i(e.toArray(),t))},"Array, Matrix":function(e,t){return r(i(e,t.toArray()))},"Array, Array":i});function i(e,t){if(1===Se(e).length&&(e=[e]),1===Se(t).length&&(t=[t]),Se(e).length>2||Se(t).length>2)throw new RangeError("Vectors with dimensions greater then 2 are not supported expected (Size x = "+JSON.stringify(e.length)+", y = "+JSON.stringify(t.length)+")");var r=[],i=[];return e.map((function(e){return t.map((function(t){return i=[],r.push(i),e.map((function(e){return t.map((function(t){return i.push(n(e,t))}))}))}))}))&&r}})),Bi=Qe("map",["typed"],(function(e){return(0,e.typed)("map",{"Array, function":Di,"Matrix, function":function(e,t){return e.map(t)}})}));function Di(e,t){var r=Oi(t);return function n(i,a){if(Array.isArray(i))return i.map((function(e,t){return n(e,a.concat(t))}));try{return 1===r?t(i):2===r?t(i,a):t(i,a,e)}catch(t){if(t instanceof TypeError&&"data"in t&&"wrongType"===t.data.category){var o="map attempted to call '".concat(t.data.fn,"(").concat(i),s=JSON.stringify(a);throw 2===r?o+=","+s:1!==r&&(o+=",".concat(s,",").concat(e)),o+=")' but argument ".concat(t.data.index+1," of type "),o+="".concat(t.data.actual," does not match expected type "),o+=t.data.expected.join(" or "),new TypeError(o)}throw t}}(e,[])}var ji=Qe("diff",["typed","matrix","subtract","number"],(function(e){var t=e.typed,r=e.matrix,n=e.subtract,i=e.number;return t("diff",{"Array | Matrix":function(e){return m(e)?r(o(e.toArray())):o(e)},"Array | Matrix, number":function(e,t){if(!Z(t))throw new RangeError("Dimension must be a whole number");return m(e)?r(a(e.toArray(),t)):a(e,t)},"Array | Matrix, BigNumber":function(e,t){return this(e,i(t))}});function a(e,t){if(m(e)&&(e=e.toArray()),!Array.isArray(e))throw RangeError("Array/Matrix does not have that many dimensions");if(t>0){var r=[];return e.forEach((function(e){r.push(a(e,t-1))})),r}if(0===t)return o(e);throw RangeError("Cannot have negative dimension")}function o(e){var t=[],r=e.length;if(r<2)return e;for(var n=1;n<r;n++)t.push(s(e[n-1],e[n]));return t}function s(e,t){m(e)&&(e=e.toArray()),m(t)&&(t=t.toArray());var r=Array.isArray(e),i=Array.isArray(t);if(r&&i)return function(e,t){if(e.length!==t.length)throw RangeError("Not all sub-arrays have the same length");for(var r=[],n=e.length,i=0;i<n;i++)r.push(s(e[i],t[i]));return r}(e,t);if(!r&&!i)return n(t,e);throw TypeError("Cannot calculate difference between 1 array and 1 non-array")}})),Pi=Qe("ones",["typed","config","matrix","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.BigNumber;return t("ones",{"":function(){return"Array"===r.matrix?a([]):a([],"default")},"...number | BigNumber | string":function(e){if("string"==typeof e[e.length-1]){var t=e.pop();return a(e,t)}return"Array"===r.matrix?a(e):a(e,"default")},Array:a,Matrix:function(e){var t=e.storage();return a(e.valueOf(),t)},"Array | Matrix, string":function(e,t){return a(e.valueOf(),t)}});function a(e,t){var r=function(e){var t=!1;return e.forEach((function(e,r,n){s(e)&&(t=!0,n[r]=e.toNumber())})),t}(e)?new i(1):1;if(function(e){e.forEach((function(e){if("number"!=typeof e||!Z(e)||e<0)throw new Error("Parameters in function ones must be positive integers")}))}(e),t){var a=n(t);return e.length>0?a.resize(e,r):a}var o=[];return e.length>0?Ce(o,e,r):o}}));function Fi(){throw new Error('No "bignumber" implementation available')}function Ui(){throw new Error('No "fraction" implementation available')}function Li(){throw new Error('No "matrix" implementation available')}var $i=Qe("range",["typed","config","?matrix","?bignumber","smaller","smallerEq","larger","largerEq"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.bignumber,a=e.smaller,o=e.smallerEq,s=e.larger,u=e.largerEq;return t("range",{string:f,"string, boolean":f,"number, number":function(e,t){return c(l(e,t,1))},"number, number, number":function(e,t,r){return c(l(e,t,r))},"number, number, boolean":function(e,t,r){return c(r?p(e,t,1):l(e,t,1))},"number, number, number, boolean":function(e,t,r,n){return c(n?p(e,t,r):l(e,t,r))},"BigNumber, BigNumber":function(e,t){return c(m(e,t,new(0,e.constructor)(1)))},"BigNumber, BigNumber, BigNumber":function(e,t,r){return c(m(e,t,r))},"BigNumber, BigNumber, boolean":function(e,t,r){var n=e.constructor;return c(r?h(e,t,new n(1)):m(e,t,new n(1)))},"BigNumber, BigNumber, BigNumber, boolean":function(e,t,r,n){return c(n?h(e,t,r):m(e,t,r))}});function c(e){return"Matrix"===r.matrix?n?n(e):Li():e}function f(e,t){var n=function(e){var t=e.split(":").map((function(e){return Number(e)}));if(t.some((function(e){return isNaN(e)})))return null;switch(t.length){case 2:return{start:t[0],end:t[1],step:1};case 3:return{start:t[0],end:t[2],step:t[1]};default:return null}}(e);if(!n)throw new SyntaxError('String "'+e+'" is no valid range');return"BigNumber"===r.number?(void 0===i&&Fi(),c((t?h:m)(i(n.start),i(n.end),i(n.step)))):c((t?p:l)(n.start,n.end,n.step))}function l(e,t,r){var n=[],i=e;if(r>0)for(;a(i,t);)n.push(i),i+=r;else if(r<0)for(;s(i,t);)n.push(i),i+=r;return n}function p(e,t,r){var n=[],i=e;if(r>0)for(;o(i,t);)n.push(i),i+=r;else if(r<0)for(;u(i,t);)n.push(i),i+=r;return n}function m(e,t,r){var n=i(0),o=[],u=e;if(r.gt(n))for(;a(u,t);)o.push(u),u=u.plus(r);else if(r.lt(n))for(;s(u,t);)o.push(u),u=u.plus(r);return o}function h(e,t,r){var n=i(0),a=[],s=e;if(r.gt(n))for(;o(s,t);)a.push(s),s=s.plus(r);else if(r.lt(n))for(;u(s,t);)a.push(s),s=s.plus(r);return a}})),Hi=Qe("reshape",["typed","isInteger","matrix"],(function(e){var t=e.typed,r=e.isInteger;return t("reshape",{"Matrix, Array":function(e,t){return e.reshape(t)},"Array, Array":function(e,t){return t.forEach((function(e){if(!r(e))throw new TypeError("Invalid size for dimension: "+e)})),Te(e,t)}})}));function Gi(e,t,r,n){if(!(this instanceof Gi))throw new SyntaxError("Constructor must be called with the new operator");this.fn=e,this.count=t,this.min=r,this.max=n,this.message="Wrong number of arguments in function "+e+" ("+t+" provided, "+r+(null!=n?"-"+n:"")+" expected)",this.stack=(new Error).stack}Gi.prototype=new Error,Gi.prototype.constructor=Error,Gi.prototype.name="ArgumentsError",Gi.prototype.isArgumentsError=!0;var Vi=Qe("resize",["config","matrix"],(function(e){var t=e.config,r=e.matrix;return function(e,i,a){if(2!==arguments.length&&3!==arguments.length)throw new Gi("resize",arguments.length,2,3);if(m(i)&&(i=i.valueOf()),s(i[0])&&(i=i.map((function(e){return s(e)?e.toNumber():e}))),m(e))return e.resize(i,a,!0);if("string"==typeof e)return n(e,i,a);var o=!Array.isArray(e)&&"Array"!==t.matrix;if(0===i.length){for(;Array.isArray(e);)e=e[0];return He(e)}Array.isArray(e)||(e=[e]);var u=Ce(e=He(e),i,a);return o?r(u):u};function n(e,t,r){if(void 0!==r){if("string"!=typeof r||1!==r.length)throw new TypeError("Single character expected as defaultValue")}else r=" ";if(1!==t.length)throw new Me(t.length,1);var n=t[0];if("number"!=typeof n||!Z(n))throw new TypeError("Invalid size, must contain positive integers (size: "+xe(t)+")");if(e.length>n)return e.substring(0,n);if(e.length<n){for(var i=e,a=0,o=n-e.length;a<o;a++)i+=r;return i}return e}})),Zi=Qe("rotate",["typed","multiply","rotationMatrix"],(function(e){var t=e.typed,r=e.multiply,n=e.rotationMatrix;return t("rotate",{"Array , number | BigNumber | Complex | Unit":function(e,t){return i(e,2),r(n(t),e).toArray()},"Matrix , number | BigNumber | Complex | Unit":function(e,t){return i(e,2),r(n(t),e)},"Array, number | BigNumber | Complex | Unit, Array | Matrix":function(e,t,a){return i(e,3),r(n(t,a),e)},"Matrix, number | BigNumber | Complex | Unit, Array | Matrix":function(e,t,a){return i(e,3),r(n(t,a),e)}});function i(e,t){var r=Array.isArray(e)?Se(e):e.size();if(r.length>2)throw new RangeError("Vector must be of dimensions 1x".concat(t));if(2===r.length&&1!==r[1])throw new RangeError("Vector must be of dimensions 1x".concat(t));if(r[0]!==t)throw new RangeError("Vector must be of dimensions 1x".concat(t))}})),Wi=Qe("rotationMatrix",["typed","config","multiplyScalar","addScalar","unaryMinus","norm","matrix","BigNumber","DenseMatrix","SparseMatrix","cos","sin"],(function(e){var t=e.typed,r=e.config,n=e.multiplyScalar,i=e.addScalar,a=e.unaryMinus,o=e.norm,u=e.BigNumber,c=e.matrix,f=e.DenseMatrix,l=e.SparseMatrix,p=e.cos,m=e.sin;return t("rotationMatrix",{"":function(){return"Matrix"===r.matrix?c([]):[]},string:function(e){return c(e)},"number | BigNumber | Complex | Unit":function(e){return h(e,"Matrix"===r.matrix?"dense":void 0)},"number | BigNumber | Complex | Unit, string":function(e,t){return h(e,t)},"number | BigNumber | Complex | Unit, Array":function(e,t){var r=c(t);return d(r),g(e,r,void 0)},"number | BigNumber | Complex | Unit, Matrix":function(e,t){d(t);var n=t.storage()||("Matrix"===r.matrix?"dense":void 0);return g(e,t,n)},"number | BigNumber | Complex | Unit, Array, string":function(e,t,r){var n=c(t);return d(n),g(e,n,r)},"number | BigNumber | Complex | Unit, Matrix, string":function(e,t,r){return d(t),g(e,t,r)}});function h(e,t){var r=s(e)?new u(-1):-1,i=p(e),a=m(e);return y([[i,n(r,a)],[a,i]],t)}function d(e){var t=e.size();if(t.length<1||3!==t[0])throw new RangeError("Vector must be of dimensions 1x3")}function v(e){return e.reduce((function(e,t){return n(e,t)}))}function y(e,t){if(t){if("sparse"===t)return new l(e);if("dense"===t)return new f(e);throw new TypeError('Unknown matrix type "'.concat(t,'"'))}return e}function g(e,t,r){var n=o(t);if(0===n)throw new RangeError("Rotation around zero vector");var c=s(e)?u:null,f=c?new c(1):1,l=c?new c(-1):-1,h=c?new c(t.get([0])/n):t.get([0])/n,d=c?new c(t.get([1])/n):t.get([1])/n,g=c?new c(t.get([2])/n):t.get([2])/n,x=p(e),b=i(f,a(x)),w=m(e);return y([[i(x,v([h,h,b])),i(v([h,d,b]),v([l,g,w])),i(v([h,g,b]),v([d,w]))],[i(v([h,d,b]),v([g,w])),i(x,v([d,d,b])),i(v([d,g,b]),v([l,h,w]))],[i(v([h,g,b]),v([l,d,w])),i(v([d,g,b]),v([h,w])),i(x,v([g,g,b]))]],r)}})),Yi=Qe("row",["typed","Index","matrix","range"],(function(e){var t=e.typed,r=e.Index,n=e.matrix,i=e.range;return t("row",{"Matrix, number":a,"Array, number":function(e,t){return a(n(He(e)),t).valueOf()}});function a(e,t){if(2!==e.size().length)throw new Error("Only two dimensional matrix is supported");Oe(t,e.size()[0]);var n=i(0,e.size()[1]),a=new r(t,n);return e.subset(a)}})),Ji=Qe("size",["typed","config","?matrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix;return t("size",{Matrix:function(e){return e.create(e.size())},Array:Se,string:function(e){return"Array"===r.matrix?[e.length]:n([e.length])},"number | Complex | BigNumber | Unit | boolean | null":function(e){return"Array"===r.matrix?[]:n?n([]):Li()}})})),Xi=Qe("squeeze",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix;return t("squeeze",{Array:function(e){return ke(He(e))},Matrix:function(e){var t=ke(e.toArray());return Array.isArray(t)?r(t):t},any:function(e){return He(e)}})})),Qi=Qe("subset",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix;return t("subset",{"Array, Index":function(e,t){var n=r(e).subset(t);return t.isScalar()?n:n.valueOf()},"Matrix, Index":function(e,t){return e.subset(t)},"Object, Index":ta,"string, Index":Ki,"Array, Index, any":function(e,t,n){return r(He(e)).subset(t,n,void 0).valueOf()},"Array, Index, any, any":function(e,t,n,i){return r(He(e)).subset(t,n,i).valueOf()},"Matrix, Index, any":function(e,t,r){return e.clone().subset(t,r)},"Matrix, Index, any, any":function(e,t,r,n){return e.clone().subset(t,r,n)},"string, Index, string":ea,"string, Index, string, string":ea,"Object, Index, any":ra})}));function Ki(e,t){if(!g(t))throw new TypeError("Index expected");if(1!==t.size().length)throw new Me(t.size().length,1);var r=e.length;Oe(t.min()[0],r),Oe(t.max()[0],r);var n=t.dimension(0),i="";return n.forEach((function(t){i+=e.charAt(t)})),i}function ea(e,t,r,n){if(!t||!0!==t.isIndex)throw new TypeError("Index expected");if(1!==t.size().length)throw new Me(t.size().length,1);if(void 0!==n){if("string"!=typeof n||1!==n.length)throw new TypeError("Single character expected as defaultValue")}else n=" ";var i=t.dimension(0);if(i.size()[0]!==r.length)throw new Me(i.size()[0],r.length);var a=e.length;Oe(t.min()[0]),Oe(t.max()[0]);for(var o=[],s=0;s<a;s++)o[s]=e.charAt(s);if(i.forEach((function(e,t){o[e]=r.charAt(t[0])})),o.length>a)for(var u=a-1,c=o.length;u<c;u++)o[u]||(o[u]=n);return o.join("")}function ta(e,t){if(1!==t.size().length)throw new Me(t.size(),1);var r=t.dimension(0);if("string"!=typeof r)throw new TypeError("String expected as index to retrieve an object property");return at(e,r)}function ra(e,t,r){if(1!==t.size().length)throw new Me(t.size(),1);var n=t.dimension(0);if("string"!=typeof n)throw new TypeError("String expected as index to retrieve an object property");var i=He(e);return ot(i,n,r),i}var na=Qe("transpose",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix;return t("transpose",{Array:function(e){return this(r(e)).valueOf()},Matrix:function(e){var t,r=e.size();switch(r.length){case 1:t=e.clone();break;case 2:var n=r[0],i=r[1];if(0===i)throw new RangeError("Cannot transpose a 2D matrix with no columns (size: "+xe(r)+")");switch(e.storage()){case"dense":t=function(e,t,r){for(var n,i=e._data,a=[],o=0;o<r;o++){n=a[o]=[];for(var s=0;s<t;s++)n[s]=He(i[s][o])}return e.createDenseMatrix({data:a,size:[r,t],datatype:e._datatype})}(e,n,i);break;case"sparse":t=function(e,t,r){for(var n,i,a,o=e._values,s=e._index,u=e._ptr,c=o?[]:void 0,f=[],l=[],p=[],m=0;m<t;m++)p[m]=0;for(n=0,i=s.length;n<i;n++)p[s[n]]++;for(var h=0,d=0;d<t;d++)l.push(h),h+=p[d],p[d]=l[d];for(l.push(h),a=0;a<r;a++)for(var v=u[a],y=u[a+1],g=v;g<y;g++){var x=p[s[g]]++;f[x]=a,o&&(c[x]=He(o[g]))}return e.createSparseMatrix({values:c,index:f,ptr:l,size:[r,t],datatype:e._datatype})}(e,n,i)}break;default:throw new RangeError("Matrix must be a vector or two dimensional (size: "+xe(this._size)+")")}return t},any:function(e){return He(e)}})})),ia=Qe("ctranspose",["typed","transpose","conj"],(function(e){var t=e.typed,r=e.transpose,n=e.conj;return t("ctranspose",{any:function(e){return n(r(e))}})})),aa=Qe("zeros",["typed","config","matrix","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.BigNumber;return t("zeros",{"":function(){return"Array"===r.matrix?a([]):a([],"default")},"...number | BigNumber | string":function(e){if("string"==typeof e[e.length-1]){var t=e.pop();return a(e,t)}return"Array"===r.matrix?a(e):a(e,"default")},Array:a,Matrix:function(e){var t=e.storage();return a(e.valueOf(),t)},"Array | Matrix, string":function(e,t){return a(e.valueOf(),t)}});function a(e,t){var r=function(e){var t=!1;return e.forEach((function(e,r,n){s(e)&&(t=!0,n[r]=e.toNumber())})),t}(e)?new i(0):0;if(function(e){e.forEach((function(e){if("number"!=typeof e||!Z(e)||e<0)throw new Error("Parameters in function zeros must be positive integers")}))}(e),t){var a=n(t);return e.length>0?a.resize(e,r):a}var o=[];return e.length>0?Ce(o,e,r):o}})),oa=r(20),sa=r.n(oa),ua=(r(135),Qe("fft",["typed","matrix","addScalar","multiplyScalar","divideScalar","exp","tau","i"],(function(e){var t=e.typed,r=(e.matrix,e.addScalar),n=e.multiplyScalar,i=e.divideScalar,a=e.exp,o=e.tau,s=e.i;return t("fft",{Array:u,Matrix:function(e){return e.create(u(e.toArray()))}});function u(e){var t=Se(e);return 1===t.length?c(e,t[0]):function e(t,r){var n=Se(t);if(0!==r)return new Array(n[0]).fill(0).map((function(n,i){return e(t[i],r-1)}));if(1===n.length)return c(t);function i(e){var t=Se(e);return new Array(t[1]).fill(0).map((function(r,n){return new Array(t[0]).fill(0).map((function(t,r){return e[r][n]}))}))}return i(e(i(t),1))}(e.map((function(e){return u(e,t.slice(1))})),0)}function c(e){var t=e.length;if(1===t)return[e[0]];if(t%2==0){for(var u=[].concat(sa()(c(e.filter((function(e,t){return t%2==0})))),sa()(c(e.filter((function(e,t){return t%2==1}))))),f=0;f<t/2;f++){var l=u[f],p=n(u[f+t/2],a(n(n(o,s),i(-f,t))));u[f]=r(l,p),u[f+t/2]=r(l,n(-1,p))}return u}throw new Error("Can only calculate FFT of power-of-two size")}}))),ca=Qe("ifft",["typed","fft","dotDivide","conj"],(function(e){var t=e.typed,r=e.fft,n=e.dotDivide,i=e.conj;return t("ifft",{"Array | Matrix":function(e){var t=m(e)?e.size():Se(e);return n(i(r(i(e))),t.reduce((function(e,t){return e*t}),1))}})})),fa=Qe("erf",["typed"],(function(e){return(0,e.typed)("name",{number:function(e){var t=Math.abs(e);return t>=da?W(e):t<=la?W(e)*function(e){var t,r=e*e,n=ma[0][4]*r,i=r;for(t=0;t<3;t+=1)n=(n+ma[0][t])*r,i=(i+ha[0][t])*r;return e*(n+ma[0][3])/(i+ha[0][3])}(t):t<=4?W(e)*(1-function(e){var t,r=ma[1][8]*e,n=e;for(t=0;t<7;t+=1)r=(r+ma[1][t])*e,n=(n+ha[1][t])*e;var i=(r+ma[1][7])/(n+ha[1][7]),a=parseInt(16*e)/16,o=(e-a)*(e+a);return Math.exp(-a*a)*Math.exp(-o)*i}(t)):W(e)*(1-function(e){var t,r=1/(e*e),n=ma[2][5]*r,i=r;for(t=0;t<4;t+=1)n=(n+ma[2][t])*r,i=(i+ha[2][t])*r;var a=r*(n+ma[2][4])/(i+ha[2][4]);a=(pa-a)/e,r=parseInt(16*e)/16;var o=(e-r)*(e+r);return Math.exp(-r*r)*Math.exp(-o)*a}(t))},"Array | Matrix":function(e){return Gt(e,this)}})})),la=.46875,pa=.5641895835477563,ma=[[3.1611237438705655,113.86415415105016,377.485237685302,3209.3775891384694,.18577770618460315],[.5641884969886701,8.883149794388377,66.11919063714163,298.6351381974001,881.952221241769,1712.0476126340707,2051.0783778260716,1230.3393547979972,2.1531153547440383e-8],[.30532663496123236,.36034489994980445,.12578172611122926,.016083785148742275,.0006587491615298378,.016315387137302097]],ha=[[23.601290952344122,244.02463793444417,1282.6165260773723,2844.236833439171],[15.744926110709835,117.6939508913125,537.1811018620099,1621.3895745666903,3290.7992357334597,4362.619090143247,3439.3676741437216,1230.3393548037495],[2.568520192289822,1.8729528499234604,.5279051029514285,.06051834131244132,.0023352049762686918]],da=Math.pow(2,53),va=Qe("mode",["typed","isNaN","isNumeric"],(function(e){var t=e.typed,r=e.isNaN,n=e.isNumeric;return t("mode",{"Array | Matrix":i,"...":function(e){return i(e)}});function i(e){if(0===(e=Re(e.valueOf())).length)throw new Error("Cannot calculate mode of an empty array");for(var t={},i=[],a=0,o=0;o<e.length;o++){var s=e[o];if(n(s)&&r(s))throw new Error("Cannot calculate mode of an array containing NaN values");s in t||(t[s]=0),t[s]++,t[s]===a?i.push(s):t[s]>a&&(a=t[s],i=[s])}return i}}));function ya(e,t,r){var n;return-1!==String(e).indexOf("Unexpected type")?(n=arguments.length>2?" (type: "+H(r)+", value: "+JSON.stringify(r)+")":" (type: "+e.data.actual+")",new TypeError("Cannot calculate "+t+", unexpected type of argument"+n)):-1!==String(e).indexOf("complex numbers")?(n=arguments.length>2?" (type: "+H(r)+", value: "+JSON.stringify(r)+")":"",new TypeError("Cannot calculate "+t+", no ordering relation is defined for complex numbers"+n)):e}var ga=Qe("prod",["typed","config","multiplyScalar","numeric"],(function(e){var t=e.typed,r=e.config,n=e.multiplyScalar,i=e.numeric;return t("prod",{"Array | Matrix":a,"Array | Matrix, number | BigNumber":function(e,t){throw new Error("prod(A, dim) is not yet supported")},"...":function(e){return a(e)}});function a(e){var t;if(Ht(e,(function(e){try{t=void 0===t?e:n(t,e)}catch(t){throw ya(t,"prod",e)}})),"string"==typeof t&&(t=i(t,r.number)),void 0===t)throw new Error("Cannot calculate prod of an empty array");return t}})),xa=Qe("format",["typed"],(function(e){return(0,e.typed)("format",{any:xe,"any, Object | function | number":xe})})),ba=Qe("bin",["typed","format"],(function(e){var t=e.typed,r=e.format;return t("bin",{"number | BigNumber":function(e){return r(e,{notation:"bin"})},"number | BigNumber, number":function(e,t){return r(e,{notation:"bin",wordSize:t})}})})),wa=Qe("oct",["typed","format"],(function(e){var t=e.typed,r=e.format;return t("oct",{"number | BigNumber":function(e){return r(e,{notation:"oct"})},"number | BigNumber, number":function(e,t){return r(e,{notation:"oct",wordSize:t})}})})),Na=Qe("hex",["typed","format"],(function(e){var t=e.typed,r=e.format;return t("hex",{"number | BigNumber":function(e){return r(e,{notation:"hex"})},"number | BigNumber, number":function(e,t){return r(e,{notation:"hex",wordSize:t})}})})),Ma=Qe("print",["typed"],(function(e){return(0,e.typed)("print",{"string, Object | Array":Ea,"string, Object | Array, number | Object":Ea})}));function Ea(e,t,r){return e.replace(/\$([\w.]+)/g,(function(e,n){for(var i=n.split("."),a=t[i.shift()];i.length&&void 0!==a;){var o=i.shift();a=o?a[o]:a+"."}return void 0!==a?l(a)?a:xe(a,r):e}))}var Sa=Qe("to",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix,n=xn({typed:t}),i=rn({typed:t});return t("to",{"Unit, Unit | string":function(e,t){return e.to(t)},"Matrix, Matrix":function(e,t){return n(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"Matrix, any":function(e,t){return i(e,t,this,!1)},"any, Matrix":function(e,t){return i(t,e,this,!0)},"Array, any":function(e,t){return i(r(e),t,this,!1).valueOf()},"any, Array":function(e,t){return i(r(t),e,this,!0).valueOf()}})})),Aa=Qe("isPrime",["typed"],(function(e){return(0,e.typed)("isPrime",{number:function(e){if(0*e!=0)return!1;if(e<=3)return e>1;if(e%2==0||e%3==0)return!1;for(var t=5;t*t<=e;t+=6)if(e%t==0||e%(t+2)==0)return!1;return!0},BigNumber:function(e){if(0*e.toNumber()!=0)return!1;if(e.lte(3))return e.gt(1);if(e.mod(2).eq(0)||e.mod(3).eq(0))return!1;if(e.lt(Math.pow(2,32))){for(var t=e.toNumber(),r=5;r*r<=t;r+=6)if(t%r==0||t%(r+2)==0)return!1;return!0}function n(e,t,r){for(var n=1;!t.eq(0);)t.mod(2).eq(0)?(t=t.div(2),e=e.mul(e).mod(r)):(t=t.sub(1),n=e.mul(n).mod(r));return n}for(var i=e.constructor.clone({precision:2*e.toFixed(0).length}),a=0,o=(e=new i(e)).sub(1);o.mod(2).eq(0);)o=o.div(2),a+=1;var s=null;if(e.lt("3317044064679887385961981"))s=[2,3,5,7,11,13,17,19,23,29,31,37,41].filter((function(t){return t<e}));else{var u=Math.min(e.toNumber()-2,Math.floor(2*Math.pow(e.toFixed(0).length*Math.log(10),2)));s=[];for(var c=2;c<=u;c+=1)s.push(u)}for(var f=0;f<s.length;f+=1){var l=s[f],p=n(e.sub(e).add(l),o,e);if(!p.eq(1))for(var m=0,h=p;!h.eq(e.sub(1));m+=1,h=h.mul(h).mod(e))if(m===a-1)return!1}return!0},"Array | Matrix":function(e){return Gt(e,this)}})})),Oa=Qe("numeric",["number","?bignumber","?fraction"],(function(e){var t=e.number,r=e.bignumber,n=e.fraction,i={string:!0,number:!0,BigNumber:!0,Fraction:!0},a={number:function(e){return t(e)},BigNumber:r?function(e){return r(e)}:Fi,Fraction:n?function(e){return n(e)}:Ui};return function(e,t){var r=H(e);if(!(r in i))throw new TypeError("Cannot convert "+e+' of type "'+r+'"; valid input types are '+Object.keys(i).join(", "));if(!(t in a))throw new TypeError("Cannot convert "+e+' to type "'+t+'"; valid output types are '+Object.keys(a).join(", "));return t===r?e:a[t](e)}})),Ca=Qe("divideScalar",["typed","numeric"],(function(e){var t=e.typed,r=e.numeric;return t("divideScalar",{"number, number":function(e,t){return e/t},"Complex, Complex":function(e,t){return e.div(t)},"BigNumber, BigNumber":function(e,t){return e.div(t)},"Fraction, Fraction":function(e,t){return e.div(t)},"Unit, number | Fraction | BigNumber":function(e,t){var n=e.clone(),i=r(1,H(t));return n.value=this(null===n.value?n._normalize(i):n.value,t),n},"number | Fraction | BigNumber, Unit":function(e,t){var n=t.clone();n=n.pow(-1);var i=r(1,H(e));return n.value=this(e,null===t.value?t._normalize(i):t.value),n},"Unit, Unit":function(e,t){return e.divide(t)}})})),Ta=Qe("pow",["typed","config","identity","multiply","matrix","inv","fraction","number","Complex"],(function(e){var t=e.typed,r=e.config,n=e.identity,i=e.multiply,a=e.matrix,o=e.inv,s=e.number,u=e.fraction,c=e.Complex;return t("pow",{"number, number":f,"Complex, Complex":function(e,t){return e.pow(t)},"BigNumber, BigNumber":function(e,t){return t.isInteger()||e>=0||r.predictable?e.pow(t):new c(e.toNumber(),0).pow(t.toNumber(),0)},"Fraction, Fraction":function(e,t){var n=e.pow(t);if(null!=n)return n;if(r.predictable)throw new Error("Result of pow is non-rational and cannot be expressed as a fraction");return f(e.valueOf(),t.valueOf())},"Array, number":l,"Array, BigNumber":function(e,t){return l(e,t.toNumber())},"Matrix, number":p,"Matrix, BigNumber":function(e,t){return p(e,t.toNumber())},"Unit, number | BigNumber":function(e,t){return e.pow(t)}});function f(e,t){if(r.predictable&&!Z(t)&&e<0)try{var n=u(t),i=s(n);if((t===i||Math.abs((t-i)/t)<1e-14)&&n.d%2==1)return(n.n%2==0?1:-1)*Math.pow(-e,t)}catch(e){}return r.predictable&&(e<-1&&t===1/0||e>-1&&e<0&&t===-1/0)?NaN:Z(t)||e>=0||r.predictable?$r(e,t):e*e<1&&t===1/0||e*e>1&&t===-1/0?0:new c(e,0).pow(t,0)}function l(e,t){if(!Z(t))throw new TypeError("For A^b, b must be an integer (value is "+t+")");var r=Se(e);if(2!==r.length)throw new Error("For A^b, A must be 2 dimensional (A has "+r.length+" dimensions)");if(r[0]!==r[1])throw new Error("For A^b, A must be square (size is "+r[0]+"x"+r[1]+")");if(t<0)try{return l(o(e),-t)}catch(e){if("Cannot calculate inverse, determinant is zero"===e.message)throw new TypeError("For A^b, when A is not invertible, b must be a positive integer (value is "+t+")");throw e}for(var a=n(r[0]).valueOf(),s=e;t>=1;)1==(1&t)&&(a=i(s,a)),t>>=1,s=i(s,s);return a}function p(e,t){return a(l(e.valueOf(),t))}})),_a="Number of decimals in function round must be an integer",Ia=Qe("round",["typed","matrix","equalScalar","zeros","BigNumber","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.zeros,a=e.BigNumber,o=e.DenseMatrix,s=en({typed:t,equalScalar:n}),u=tn({typed:t,DenseMatrix:o}),c=rn({typed:t});return t("round",{number:Hr,"number, number":Hr,"number, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(_a);return new a(e).toDecimalPlaces(t.toNumber())},Complex:function(e){return e.round()},"Complex, number":function(e,t){if(t%1)throw new TypeError(_a);return e.round(t)},"Complex, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(_a);var r=t.toNumber();return e.round(r)},BigNumber:function(e){return e.toDecimalPlaces(0)},"BigNumber, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(_a);return e.toDecimalPlaces(t.toNumber())},Fraction:function(e){return e.round()},"Fraction, number":function(e,t){if(t%1)throw new TypeError(_a);return e.round(t)},"Fraction, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(_a);return e.round(t.toNumber())},"Array | Matrix":function(e){return Gt(e,this,!0)},"SparseMatrix, number | BigNumber":function(e,t){return s(e,t,this,!1)},"DenseMatrix, number | BigNumber":function(e,t){return c(e,t,this,!1)},"Array, number | BigNumber":function(e,t){return c(r(e),t,this,!1).valueOf()},"number | Complex | BigNumber | Fraction, SparseMatrix":function(e,t){return n(e,0)?i(t.size(),t.storage()):u(t,e,this,!0)},"number | Complex | BigNumber | Fraction, DenseMatrix":function(e,t){return n(e,0)?i(t.size(),t.storage()):c(t,e,this,!0)},"number | Complex | BigNumber | Fraction, Array":function(e,t){return c(r(t),e,this,!0).valueOf()}})})),ka=Qe("log",["config","typed","divideScalar","Complex"],(function(e){var t=e.typed,r=e.config,n=e.divideScalar,i=e.Complex;return t("log",{number:function(e){return e>=0||r.predictable?function(e,t){return t?Math.log(e)/Math.log(t):Math.log(e)}(e):new i(e,0).log()},Complex:function(e){return e.log()},BigNumber:function(e){return!e.isNegative()||r.predictable?e.ln():new i(e.toNumber(),0).log()},"Array | Matrix":function(e){return Gt(e,this)},"any, any":function(e,t){return n(this(e),this(t))}})})),za=Qe("log1p",["typed","config","divideScalar","log","Complex"],(function(e){var t=e.typed,r=e.config,n=e.divideScalar,i=e.log,a=e.Complex;return t("log1p",{number:function(e){return e>=-1||r.predictable?X(e):o(new a(e,0))},Complex:o,BigNumber:function(e){var t=e.plus(1);return!t.isNegative()||r.predictable?t.ln():o(new a(e.toNumber(),0))},"Array | Matrix":function(e){return Gt(e,this)},"any, any":function(e,t){return n(this(e),i(t))}});function o(e){var t=e.re+1;return new a(Math.log(Math.sqrt(t*t+e.im*e.im)),Math.atan2(e.im,t))}})),Ra=Qe("nthRoots",["config","typed","divideScalar","Complex"],(function(e){var t=e.typed,r=(e.config,e.divideScalar,e.Complex),n=[function(e){return new r(e,0)},function(e){return new r(0,e)},function(e){return new r(-e,0)},function(e){return new r(0,-e)}];function i(e,t){if(t<0)throw new Error("Root must be greater than zero");if(0===t)throw new Error("Root must be non-zero");if(t%1!=0)throw new Error("Root must be an integer");if(0===e||0===e.abs())return[new r(0,0)];var i,a="number"==typeof e;(a||0===e.re||0===e.im)&&(i=a?2*+(e<0):0===e.im?2*+(e.re<0):2*+(e.im<0)+1);for(var o=e.arg(),s=e.abs(),u=[],c=Math.pow(s,1/t),f=0;f<t;f++){var l=(i+4*f)/t;l!==Math.round(l)?u.push(new r({r:c,phi:(o+2*Math.PI*f)/t})):u.push(n[l%4](c))}return u}return t("nthRoots",{Complex:function(e){return i(e,2)},"Complex, number":i})})),qa=Qe("dotPow",["typed","equalScalar","matrix","pow","DenseMatrix"],(function(e){var t=e.typed,r=e.equalScalar,n=e.matrix,i=e.pow,a=e.DenseMatrix,o=An({typed:t}),s=oi({typed:t,DenseMatrix:a}),u=en({typed:t,equalScalar:r}),c=tn({typed:t,DenseMatrix:a}),f=xn({typed:t}),l=rn({typed:t});return t("dotPow",{"any, any":i,"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,i,!1)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,i,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,i,!1)},"DenseMatrix, DenseMatrix":function(e,t){return f(e,t,i)},"Array, Array":function(e,t){return this(n(e),n(t)).valueOf()},"Array, Matrix":function(e,t){return this(n(e),t)},"Matrix, Array":function(e,t){return this(e,n(t))},"SparseMatrix, any":function(e,t){return u(e,t,this,!1)},"DenseMatrix, any":function(e,t){return l(e,t,this,!1)},"any, SparseMatrix":function(e,t){return c(t,e,this,!0)},"any, DenseMatrix":function(e,t){return l(t,e,this,!0)},"Array, any":function(e,t){return l(n(e),t,this,!1).valueOf()},"any, Array":function(e,t){return l(n(t),e,this,!0).valueOf()}})})),Ba=Qe("dotDivide",["typed","matrix","equalScalar","divideScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.divideScalar,a=e.DenseMatrix,o=wn({typed:t,equalScalar:n}),s=An({typed:t}),u=oi({typed:t,DenseMatrix:a}),c=en({typed:t,equalScalar:n}),f=tn({typed:t,DenseMatrix:a}),l=xn({typed:t}),p=rn({typed:t});return t("dotDivide",{"any, any":i,"SparseMatrix, SparseMatrix":function(e,t){return u(e,t,i,!1)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,i,!0)},"DenseMatrix, SparseMatrix":function(e,t){return s(e,t,i,!1)},"DenseMatrix, DenseMatrix":function(e,t){return l(e,t,i)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return c(e,t,i,!1)},"DenseMatrix, any":function(e,t){return p(e,t,i,!1)},"any, SparseMatrix":function(e,t){return f(t,e,i,!0)},"any, DenseMatrix":function(e,t){return p(t,e,i,!0)},"Array, any":function(e,t){return p(r(e),t,i,!1).valueOf()},"any, Array":function(e,t){return p(r(t),e,i,!0).valueOf()}})}));function Da(e){var t=e.DenseMatrix;return function(e,r,n){var i=e.size();if(2!==i.length)throw new RangeError("Matrix must be two dimensional (size: "+xe(i)+")");var a=i[0];if(a!==i[1])throw new RangeError("Matrix must be square (size: "+xe(i)+")");var o=[];if(m(r)){var s=r.size(),u=r._data;if(1===s.length){if(s[0]!==a)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(var c=0;c<a;c++)o[c]=[u[c]];return new t({data:o,size:[a,1],datatype:r._datatype})}if(2===s.length){if(s[0]!==a||1!==s[1])throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");if(d(r)){if(n){o=[];for(var f=0;f<a;f++)o[f]=[u[f][0]];return new t({data:o,size:[a,1],datatype:r._datatype})}return r}if(v(r)){for(var l=0;l<a;l++)o[l]=[0];for(var h=r._values,y=r._index,g=r._ptr,x=g[1],b=g[0];b<x;b++){o[y[b]][0]=h[b]}return new t({data:o,size:[a,1],datatype:r._datatype})}}throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector.")}if(p(r)){var w=Se(r);if(1===w.length){if(w[0]!==a)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(var N=0;N<a;N++)o[N]=[r[N]];return new t({data:o,size:[a,1]})}if(2===w.length){if(w[0]!==a||1!==w[1])throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(var M=0;M<a;M++)o[M]=[r[M][0]];return new t({data:o,size:[a,1]})}throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector.")}}}var ja=Qe("lsolve",["typed","matrix","divideScalar","multiplyScalar","subtract","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.divideScalar,i=e.multiplyScalar,a=e.subtract,o=e.equalScalar,s=e.DenseMatrix,u=Da({DenseMatrix:s});return t("lsolve",{"SparseMatrix, Array | Matrix":function(e,t){return function(e,t){for(var r=(t=u(e,t,!0))._data,c=e._size[0],f=e._size[1],l=e._values,p=e._index,m=e._ptr,h=[],d=0;d<f;d++){var v=r[d][0]||0;if(o(v,0))h[d]=[0];else{for(var y=0,g=[],x=[],b=m[d],w=m[d+1],N=b;N<w;N++){var M=p[N];M===d?y=l[N]:M>d&&(g.push(l[N]),x.push(M))}if(o(y,0))throw new Error("Linear system cannot be solved since matrix is singular");for(var E=n(v,y),S=0,A=x.length;S<A;S++){var O=x[S];r[O]=[a(r[O][0]||0,i(E,g[S]))]}h[d]=[E]}}return new s({data:h,size:[c,1]})}(e,t)},"DenseMatrix, Array | Matrix":function(e,t){return c(e,t)},"Array, Array | Matrix":function(e,t){return c(r(e),t).valueOf()}});function c(e,t){for(var r=(t=u(e,t,!0))._data,c=e._size[0],f=e._size[1],l=[],p=e._data,m=0;m<f;m++){var h=r[m][0]||0,d=void 0;if(o(h,0))d=0;else{var v=p[m][m];if(o(v,0))throw new Error("Linear system cannot be solved since matrix is singular");d=n(h,v);for(var y=m+1;y<c;y++)r[y]=[a(r[y][0]||0,i(d,p[y][m]))]}l[m]=[d]}return new s({data:l,size:[c,1]})}})),Pa=Qe("usolve",["typed","matrix","divideScalar","multiplyScalar","subtract","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.divideScalar,i=e.multiplyScalar,a=e.subtract,o=e.equalScalar,s=e.DenseMatrix,u=Da({DenseMatrix:s});return t("usolve",{"SparseMatrix, Array | Matrix":function(e,t){return function(e,t){for(var r=(t=u(e,t,!0))._data,c=e._size[0],f=e._size[1],l=e._values,p=e._index,m=e._ptr,h=[],d=f-1;d>=0;d--){var v=r[d][0]||0;if(o(v,0))h[d]=[0];else{for(var y=0,g=[],x=[],b=m[d],w=m[d+1]-1;w>=b;w--){var N=p[w];N===d?y=l[w]:N<d&&(g.push(l[w]),x.push(N))}if(o(y,0))throw new Error("Linear system cannot be solved since matrix is singular");for(var M=n(v,y),E=0,S=x.length;E<S;E++){var A=x[E];r[A]=[a(r[A][0],i(M,g[E]))]}h[d]=[M]}}return new s({data:h,size:[c,1]})}(e,t)},"DenseMatrix, Array | Matrix":function(e,t){return c(e,t)},"Array, Array | Matrix":function(e,t){return c(r(e),t).valueOf()}});function c(e,t){for(var r=(t=u(e,t,!0))._data,c=e._size[0],f=e._size[1],l=[],p=e._data,m=f-1;m>=0;m--){var h=r[m][0]||0,d=void 0;if(o(h,0))d=0;else{var v=p[m][m];if(o(v,0))throw new Error("Linear system cannot be solved since matrix is singular");d=n(h,v);for(var y=m-1;y>=0;y--)r[y]=[a(r[y][0]||0,i(d,p[y][m]))]}l[m]=[d]}return new s({data:l,size:[c,1]})}})),Fa=Qe("lsolveAll",["typed","matrix","divideScalar","multiplyScalar","subtract","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.divideScalar,i=e.multiplyScalar,a=e.subtract,o=e.equalScalar,s=e.DenseMatrix,u=Da({DenseMatrix:s});return t("lsolveAll",{"SparseMatrix, Array | Matrix":function(e,t){return function(e,t){for(var r=[u(e,t,!0)._data.map((function(e){return e[0]}))],c=e._size[0],f=e._size[1],l=e._values,p=e._index,m=e._ptr,h=0;h<f;h++)for(var d=r.length,v=0;v<d;v++){for(var y=r[v],g=[],x=[],b=m[h],w=m[h+1],N=0,M=b;M<w;M++){var E=p[M];E===h?N=l[M]:E>h&&(g.push(l[M]),x.push(E))}if(o(N,0))if(o(y[h],0)){if(0===v){var S=sa()(y);S[h]=1;for(var A=0,O=x.length;A<O;A++){var C=x[A];S[C]=a(S[C],g[A])}r.push(S)}}else{if(0===v)return[];r.splice(v,1),v-=1,d-=1}else{y[h]=n(y[h],N);for(var T=0,_=x.length;T<_;T++){var I=x[T];y[I]=a(y[I],i(y[h],g[T]))}}}return r.map((function(e){return new s({data:e.map((function(e){return[e]})),size:[c,1]})}))}(e,t)},"DenseMatrix, Array | Matrix":function(e,t){return c(e,t)},"Array, Array | Matrix":function(e,t){return c(r(e),t).map((function(e){return e.valueOf()}))}});function c(e,t){for(var r=[u(e,t,!0)._data.map((function(e){return e[0]}))],c=e._data,f=e._size[0],l=e._size[1],p=0;p<l;p++)for(var m=r.length,h=0;h<m;h++){var d=r[h];if(o(c[p][p],0))if(o(d[p],0)){if(0===h){var v=sa()(d);v[p]=1;for(var y=p+1;y<l;y++)v[y]=a(v[y],c[y][p]);r.push(v)}}else{if(0===h)return[];r.splice(h,1),h-=1,m-=1}else{d[p]=n(d[p],c[p][p]);for(var g=p+1;g<l;g++)d[g]=a(d[g],i(d[p],c[g][p]))}}return r.map((function(e){return new s({data:e.map((function(e){return[e]})),size:[f,1]})}))}})),Ua=Qe("usolveAll",["typed","matrix","divideScalar","multiplyScalar","subtract","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.divideScalar,i=e.multiplyScalar,a=e.subtract,o=e.equalScalar,s=e.DenseMatrix,u=Da({DenseMatrix:s});return t("usolveAll",{"SparseMatrix, Array | Matrix":function(e,t){return function(e,t){for(var r=[u(e,t,!0)._data.map((function(e){return e[0]}))],c=e._size[0],f=e._size[1],l=e._values,p=e._index,m=e._ptr,h=f-1;h>=0;h--)for(var d=r.length,v=0;v<d;v++){for(var y=r[v],g=[],x=[],b=m[h],w=m[h+1],N=0,M=w-1;M>=b;M--){var E=p[M];E===h?N=l[M]:E<h&&(g.push(l[M]),x.push(E))}if(o(N,0))if(o(y[h],0)){if(0===v){var S=sa()(y);S[h]=1;for(var A=0,O=x.length;A<O;A++){var C=x[A];S[C]=a(S[C],g[A])}r.push(S)}}else{if(0===v)return[];r.splice(v,1),v-=1,d-=1}else{y[h]=n(y[h],N);for(var T=0,_=x.length;T<_;T++){var I=x[T];y[I]=a(y[I],i(y[h],g[T]))}}}return r.map((function(e){return new s({data:e.map((function(e){return[e]})),size:[c,1]})}))}(e,t)},"DenseMatrix, Array | Matrix":function(e,t){return c(e,t)},"Array, Array | Matrix":function(e,t){return c(r(e),t).map((function(e){return e.valueOf()}))}});function c(e,t){for(var r=[u(e,t,!0)._data.map((function(e){return e[0]}))],c=e._data,f=e._size[0],l=e._size[1]-1;l>=0;l--)for(var p=r.length,m=0;m<p;m++){var h=r[m];if(o(c[l][l],0))if(o(h[l],0)){if(0===m){var d=sa()(h);d[l]=1;for(var v=l-1;v>=0;v--)d[v]=a(d[v],c[v][l]);r.push(d)}}else{if(0===m)return[];r.splice(m,1),m-=1,p-=1}else{h[l]=n(h[l],c[l][l]);for(var y=l-1;y>=0;y--)h[y]=a(h[y],i(h[l],c[y][l]))}}return r.map((function(e){return new s({data:e.map((function(e){return[e]})),size:[f,1]})}))}})),La=Qe("algorithm08",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i){var a=e._values,o=e._index,s=e._ptr,u=e._size,c=e._datatype,f=n._values,l=n._index,p=n._ptr,m=n._size,h=n._datatype;if(u.length!==m.length)throw new Me(u.length,m.length);if(u[0]!==m[0]||u[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+m+")");if(!a||!f)throw new Error("Cannot perform operation on Pattern Sparse Matrices");var d,v=u[0],y=u[1],g=r,x=0,b=i;"string"==typeof c&&c===h&&(d=c,g=t.find(r,[d,d]),x=t.convert(0,d),b=t.find(i,[d,d]));for(var w,N,M,E,S=[],A=[],O=[],C=[],T=[],_=0;_<y;_++){O[_]=A.length;var I=_+1;for(N=s[_],M=s[_+1],w=N;w<M;w++)T[E=o[w]]=I,C[E]=a[w],A.push(E);for(N=p[_],M=p[_+1],w=N;w<M;w++)T[E=l[w]]===I&&(C[E]=b(C[E],f[w]));for(w=O[_];w<A.length;){var k=C[E=A[w]];g(k,x)?A.splice(w,1):(S.push(k),w++)}}return O[y]=A.length,e.createSparseMatrix({values:S,index:A,ptr:O,size:[v,y],datatype:d})}})),$a=Qe("leftShift",["typed","matrix","equalScalar","zeros","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.zeros,a=e.DenseMatrix,o=vn({typed:t}),s=wn({typed:t,equalScalar:n}),u=La({typed:t,equalScalar:n}),c=gn({typed:t,DenseMatrix:a}),f=en({typed:t,equalScalar:n}),l=xn({typed:t}),p=rn({typed:t});return t("leftShift",{"number, number":ei,"BigNumber, BigNumber":Zn,"SparseMatrix, SparseMatrix":function(e,t){return u(e,t,this,!1)},"SparseMatrix, DenseMatrix":function(e,t){return s(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return l(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, number | BigNumber":function(e,t){return n(t,0)?e.clone():f(e,t,this,!1)},"DenseMatrix, number | BigNumber":function(e,t){return n(t,0)?e.clone():p(e,t,this,!1)},"number | BigNumber, SparseMatrix":function(e,t){return n(e,0)?i(t.size(),t.storage()):c(t,e,this,!0)},"number | BigNumber, DenseMatrix":function(e,t){return n(e,0)?i(t.size(),t.storage()):p(t,e,this,!0)},"Array, number | BigNumber":function(e,t){return this(r(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return this(e,r(t)).valueOf()}})})),Ha=Qe("rightArithShift",["typed","matrix","equalScalar","zeros","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.zeros,a=e.DenseMatrix,o=vn({typed:t}),s=wn({typed:t,equalScalar:n}),u=La({typed:t,equalScalar:n}),c=gn({typed:t,DenseMatrix:a}),f=en({typed:t,equalScalar:n}),l=xn({typed:t}),p=rn({typed:t});return t("rightArithShift",{"number, number":ti,"BigNumber, BigNumber":Wn,"SparseMatrix, SparseMatrix":function(e,t){return u(e,t,this,!1)},"SparseMatrix, DenseMatrix":function(e,t){return s(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return l(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, number | BigNumber":function(e,t){return n(t,0)?e.clone():f(e,t,this,!1)},"DenseMatrix, number | BigNumber":function(e,t){return n(t,0)?e.clone():p(e,t,this,!1)},"number | BigNumber, SparseMatrix":function(e,t){return n(e,0)?i(t.size(),t.storage()):c(t,e,this,!0)},"number | BigNumber, DenseMatrix":function(e,t){return n(e,0)?i(t.size(),t.storage()):p(t,e,this,!0)},"Array, number | BigNumber":function(e,t){return this(r(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return this(e,r(t)).valueOf()}})})),Ga=Qe("rightLogShift",["typed","matrix","equalScalar","zeros","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.zeros,a=e.DenseMatrix,o=vn({typed:t}),s=wn({typed:t,equalScalar:n}),u=La({typed:t,equalScalar:n}),c=gn({typed:t,DenseMatrix:a}),f=en({typed:t,equalScalar:n}),l=xn({typed:t}),p=rn({typed:t});return t("rightLogShift",{"number, number":ri,"SparseMatrix, SparseMatrix":function(e,t){return u(e,t,this,!1)},"SparseMatrix, DenseMatrix":function(e,t){return s(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return l(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, number | BigNumber":function(e,t){return n(t,0)?e.clone():f(e,t,this,!1)},"DenseMatrix, number | BigNumber":function(e,t){return n(t,0)?e.clone():p(e,t,this,!1)},"number | BigNumber, SparseMatrix":function(e,t){return n(e,0)?i(t.size(),t.storage()):c(t,e,this,!0)},"number | BigNumber, DenseMatrix":function(e,t){return n(e,0)?i(t.size(),t.storage()):p(t,e,this,!0)},"Array, number | BigNumber":function(e,t){return this(r(e),t).valueOf()},"number | BigNumber, Array":function(e,t){return this(e,r(t)).valueOf()}})})),Va=Qe("and",["typed","matrix","equalScalar","zeros","not"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.zeros,a=e.not,o=wn({typed:t,equalScalar:n}),s=Nn({typed:t,equalScalar:n}),u=en({typed:t,equalScalar:n}),c=xn({typed:t}),f=rn({typed:t});return t("and",{"number, number":di,"Complex, Complex":function(e,t){return!(0===e.re&&0===e.im||0===t.re&&0===t.im)},"BigNumber, BigNumber":function(e,t){return!(e.isZero()||t.isZero()||e.isNaN()||t.isNaN())},"Unit, Unit":function(e,t){return this(e.value||0,t.value||0)},"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,this,!1)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return a(t)?i(e.size(),e.storage()):u(e,t,this,!1)},"DenseMatrix, any":function(e,t){return a(t)?i(e.size(),e.storage()):f(e,t,this,!1)},"any, SparseMatrix":function(e,t){return a(e)?i(e.size(),e.storage()):u(t,e,this,!0)},"any, DenseMatrix":function(e,t){return a(e)?i(e.size(),e.storage()):f(t,e,this,!0)},"Array, any":function(e,t){return this(r(e),t).valueOf()},"any, Array":function(e,t){return this(e,r(t)).valueOf()}})})),Za=Qe("compare",["typed","config","matrix","equalScalar","BigNumber","Fraction","DenseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.equalScalar,i=e.matrix,a=e.BigNumber,o=e.Fraction,s=e.DenseMatrix,u=An({typed:t}),c=On({typed:t,equalScalar:n}),f=tn({typed:t,DenseMatrix:s}),l=xn({typed:t}),p=rn({typed:t});return t("compare",{"boolean, boolean":function(e,t){return e===t?0:e>t?1:-1},"number, number":function(e,t){return ue(e,t,r.epsilon)?0:e>t?1:-1},"BigNumber, BigNumber":function(e,t){return sr(e,t,r.epsilon)?new a(0):new a(e.cmp(t))},"Fraction, Fraction":function(e,t){return new o(e.compare(t))},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return this(e.value,t.value)},"SparseMatrix, SparseMatrix":function(e,t){return c(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return u(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return u(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return l(e,t,this)},"Array, Array":function(e,t){return this(i(e),i(t)).valueOf()},"Array, Matrix":function(e,t){return this(i(e),t)},"Matrix, Array":function(e,t){return this(e,i(t))},"SparseMatrix, any":function(e,t){return f(e,t,this,!1)},"DenseMatrix, any":function(e,t){return p(e,t,this,!1)},"any, SparseMatrix":function(e,t){return f(t,e,this,!0)},"any, DenseMatrix":function(e,t){return p(t,e,this,!0)},"Array, any":function(e,t){return p(i(e),t,this,!1).valueOf()},"any, Array":function(e,t){return p(i(t),e,this,!0).valueOf()}})})),Wa=r(65),Ya=r.n(Wa),Ja=Qe("compareNatural",["typed","compare"],(function(e){var t=e.typed,r=e.compare,n=r.signatures["boolean,boolean"];return t("compareNatural",{"any, any":function(e,t){var a,o=H(e),s=H(t);if(!("number"!==o&&"BigNumber"!==o&&"Fraction"!==o||"number"!==s&&"BigNumber"!==s&&"Fraction"!==s))return"0"!==(a=r(e,t)).toString()?a>0?1:-1:Ya()(o,s);if("Array"===o||"Matrix"===o||"Array"===s||"Matrix"===s)return 0!==(a=function e(t,r,n){if(v(r)&&v(n))return i(t,r.toJSON().values,n.toJSON().values);if(v(r))return e(t,r.toArray(),n);if(v(n))return e(t,r,n.toArray());if(d(r))return e(t,r.toJSON().data,n);if(d(n))return e(t,r,n.toJSON().data);if(!Array.isArray(r))return e(t,[r],n);if(!Array.isArray(n))return e(t,r,[n]);return i(t,r,n)}(this,e,t))?a:Ya()(o,s);if(o!==s)return Ya()(o,s);if("Complex"===o)return function(e,t){if(e.re>t.re)return 1;if(e.re<t.re)return-1;if(e.im>t.im)return 1;if(e.im<t.im)return-1;return 0}(e,t);if("Unit"===o)return e.equalBase(t)?this(e.value,t.value):i(this,e.formatUnits(),t.formatUnits());if("boolean"===o)return n(e,t);if("string"===o)return Ya()(e,t);if("Object"===o)return function(e,t,r){var n=Object.keys(t),a=Object.keys(r);n.sort(Ya.a),a.sort(Ya.a);var o=i(e,n,a);if(0!==o)return o;for(var s=0;s<n.length;s++){var u=e(t[n[s]],r[a[s]]);if(0!==u)return u}return 0}(this,e,t);if("null"===o)return 0;if("undefined"===o)return 0;throw new TypeError('Unsupported type of value "'+o+'"')}});function i(e,t,r){for(var n=0,i=Math.min(t.length,r.length);n<i;n++){var a=e(t[n],r[n]);if(0!==a)return a}return t.length>r.length?1:t.length<r.length?-1:0}}));var Xa=Qe("compareText",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix,n=xn({typed:t}),i=rn({typed:t});return t("compareText",{"any, any":Ne,"DenseMatrix, DenseMatrix":function(e,t){return n(e,t,Ne)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"DenseMatrix, any":function(e,t){return i(e,t,Ne,!1)},"any, DenseMatrix":function(e,t){return i(t,e,Ne,!0)},"Array, any":function(e,t){return i(r(e),t,Ne,!1).valueOf()},"any, Array":function(e,t){return i(r(t),e,Ne,!0).valueOf()}})})),Qa=Qe("equal",["typed","matrix","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.DenseMatrix,a=An({typed:t}),o=oi({typed:t,DenseMatrix:i}),s=tn({typed:t,DenseMatrix:i}),u=xn({typed:t}),c=rn({typed:t});return t("equal",{"any, any":function(e,t){return null===e?null===t:null===t?null===e:void 0===e?void 0===t:void 0===t?void 0===e:n(e,t)},"SparseMatrix, SparseMatrix":function(e,t){return o(e,t,n)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,n,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,n,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,n)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, any":function(e,t){return s(e,t,n,!1)},"DenseMatrix, any":function(e,t){return c(e,t,n,!1)},"any, SparseMatrix":function(e,t){return s(t,e,n,!0)},"any, DenseMatrix":function(e,t){return c(t,e,n,!0)},"Array, any":function(e,t){return c(r(e),t,n,!1).valueOf()},"any, Array":function(e,t){return c(r(t),e,n,!0).valueOf()}})})),Ka=(Qe("equal",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return t("equal",{"any, any":function(e,t){return null===e?null===t:null===t?null===e:void 0===e?void 0===t:void 0===t?void 0===e:r(e,t)}})})),Qe("equalText",["typed","compareText","isZero"],(function(e){var t=e.typed,r=e.compareText,n=e.isZero;return t("equalText",{"any, any":function(e,t){return n(r(e,t))}})}))),eo=Qe("smaller",["typed","config","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.DenseMatrix,a=An({typed:t}),o=oi({typed:t,DenseMatrix:i}),s=tn({typed:t,DenseMatrix:i}),u=xn({typed:t}),c=rn({typed:t});return t("smaller",{"boolean, boolean":function(e,t){return e<t},"number, number":function(e,t){return e<t&&!ue(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.lt(t)&&!sr(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return-1===e.compare(t)},"Complex, Complex":function(e,t){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return this(e.value,t.value)},"SparseMatrix, SparseMatrix":function(e,t){return o(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,this)},"Array, Array":function(e,t){return this(n(e),n(t)).valueOf()},"Array, Matrix":function(e,t){return this(n(e),t)},"Matrix, Array":function(e,t){return this(e,n(t))},"SparseMatrix, any":function(e,t){return s(e,t,this,!1)},"DenseMatrix, any":function(e,t){return c(e,t,this,!1)},"any, SparseMatrix":function(e,t){return s(t,e,this,!0)},"any, DenseMatrix":function(e,t){return c(t,e,this,!0)},"Array, any":function(e,t){return c(n(e),t,this,!1).valueOf()},"any, Array":function(e,t){return c(n(t),e,this,!0).valueOf()}})})),to=Qe("smallerEq",["typed","config","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.DenseMatrix,a=An({typed:t}),o=oi({typed:t,DenseMatrix:i}),s=tn({typed:t,DenseMatrix:i}),u=xn({typed:t}),c=rn({typed:t});return t("smallerEq",{"boolean, boolean":function(e,t){return e<=t},"number, number":function(e,t){return e<=t||ue(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.lte(t)||sr(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return 1!==e.compare(t)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return this(e.value,t.value)},"SparseMatrix, SparseMatrix":function(e,t){return o(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,this)},"Array, Array":function(e,t){return this(n(e),n(t)).valueOf()},"Array, Matrix":function(e,t){return this(n(e),t)},"Matrix, Array":function(e,t){return this(e,n(t))},"SparseMatrix, any":function(e,t){return s(e,t,this,!1)},"DenseMatrix, any":function(e,t){return c(e,t,this,!1)},"any, SparseMatrix":function(e,t){return s(t,e,this,!0)},"any, DenseMatrix":function(e,t){return c(t,e,this,!0)},"Array, any":function(e,t){return c(n(e),t,this,!1).valueOf()},"any, Array":function(e,t){return c(n(t),e,this,!0).valueOf()}})})),ro=Qe("larger",["typed","config","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.DenseMatrix,a=An({typed:t}),o=oi({typed:t,DenseMatrix:i}),s=tn({typed:t,DenseMatrix:i}),u=xn({typed:t}),c=rn({typed:t});return t("larger",{"boolean, boolean":function(e,t){return e>t},"number, number":function(e,t){return e>t&&!ue(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.gt(t)&&!sr(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return 1===e.compare(t)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return this(e.value,t.value)},"SparseMatrix, SparseMatrix":function(e,t){return o(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,this)},"Array, Array":function(e,t){return this(n(e),n(t)).valueOf()},"Array, Matrix":function(e,t){return this(n(e),t)},"Matrix, Array":function(e,t){return this(e,n(t))},"SparseMatrix, any":function(e,t){return s(e,t,this,!1)},"DenseMatrix, any":function(e,t){return c(e,t,this,!1)},"any, SparseMatrix":function(e,t){return s(t,e,this,!0)},"any, DenseMatrix":function(e,t){return c(t,e,this,!0)},"Array, any":function(e,t){return c(n(e),t,this,!1).valueOf()},"any, Array":function(e,t){return c(n(t),e,this,!0).valueOf()}})})),no=Qe("largerEq",["typed","config","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.DenseMatrix,a=An({typed:t}),o=oi({typed:t,DenseMatrix:i}),s=tn({typed:t,DenseMatrix:i}),u=xn({typed:t}),c=rn({typed:t});return t("largerEq",{"boolean, boolean":function(e,t){return e>=t},"number, number":function(e,t){return e>=t||ue(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.gte(t)||sr(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return-1!==e.compare(t)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return this(e.value,t.value)},"SparseMatrix, SparseMatrix":function(e,t){return o(e,t,this)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,this)},"Array, Array":function(e,t){return this(n(e),n(t)).valueOf()},"Array, Matrix":function(e,t){return this(n(e),t)},"Matrix, Array":function(e,t){return this(e,n(t))},"SparseMatrix, any":function(e,t){return s(e,t,this,!1)},"DenseMatrix, any":function(e,t){return c(e,t,this,!1)},"any, SparseMatrix":function(e,t){return s(t,e,this,!0)},"any, DenseMatrix":function(e,t){return c(t,e,this,!0)},"Array, any":function(e,t){return c(n(e),t,this,!1).valueOf()},"any, Array":function(e,t){return c(n(t),e,this,!0).valueOf()}})})),io=Qe("deepEqual",["typed","equal"],(function(e){var t=e.typed,r=e.equal;return t("deepEqual",{"any, any":function(e,t){return function e(t,n){if(Array.isArray(t)){if(Array.isArray(n)){var i=t.length;if(i!==n.length)return!1;for(var a=0;a<i;a++)if(!e(t[a],n[a]))return!1;return!0}return!1}return!Array.isArray(n)&&r(t,n)}(e.valueOf(),t.valueOf())}})})),ao=Qe("unequal",["typed","config","equalScalar","matrix","DenseMatrix"],(function(e){var t=e.typed,r=(e.config,e.equalScalar),n=e.matrix,i=e.DenseMatrix,a=An({typed:t}),o=oi({typed:t,DenseMatrix:i}),s=tn({typed:t,DenseMatrix:i}),u=xn({typed:t}),c=rn({typed:t});return t("unequal",{"any, any":function(e,t){return null===e?null!==t:null===t?null!==e:void 0===e?void 0!==t:void 0===t?void 0!==e:f(e,t)},"SparseMatrix, SparseMatrix":function(e,t){return o(e,t,f)},"SparseMatrix, DenseMatrix":function(e,t){return a(t,e,f,!0)},"DenseMatrix, SparseMatrix":function(e,t){return a(e,t,f,!1)},"DenseMatrix, DenseMatrix":function(e,t){return u(e,t,f)},"Array, Array":function(e,t){return this(n(e),n(t)).valueOf()},"Array, Matrix":function(e,t){return this(n(e),t)},"Matrix, Array":function(e,t){return this(e,n(t))},"SparseMatrix, any":function(e,t){return s(e,t,f,!1)},"DenseMatrix, any":function(e,t){return c(e,t,f,!1)},"any, SparseMatrix":function(e,t){return s(t,e,f,!0)},"any, DenseMatrix":function(e,t){return c(t,e,f,!0)},"Array, any":function(e,t){return c(n(e),t,f,!1).valueOf()},"any, Array":function(e,t){return c(n(t),e,f,!0).valueOf()}});function f(e,t){return!r(e,t)}})),oo=(Qe("unequal",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return t("unequal",{"any, any":function(e,t){return null===e?null!==t:null===t?null!==e:void 0===e?void 0!==t:void 0===t?void 0!==e:!r(e,t)}})})),Qe("partitionSelect",["typed","isNumeric","isNaN","compare"],(function(e){var t=e.typed,r=e.isNumeric,n=e.isNaN,i=e.compare,a=i,o=function(e,t){return-i(e,t)};return t("partitionSelect",{"Array | Matrix, number":function(e,t){return s(e,t,a)},"Array | Matrix, number, string":function(e,t,r){if("asc"===r)return s(e,t,a);if("desc"===r)return s(e,t,o);throw new Error('Compare string must be "asc" or "desc"')},"Array | Matrix, number, function":s});function s(e,t,r){if(!Z(t)||t<0)throw new Error("k must be a non-negative integer");if(m(e)){if(e.size().length>1)throw new Error("Only one dimensional matrices supported");return u(e.valueOf(),t,r)}if(Array.isArray(e))return u(e,t,r)}function u(e,t,i){if(t>=e.length)throw new Error("k out of bounds");for(var a=0;a<e.length;a++)if(r(e[a])&&n(e[a]))return e[a];for(var o=0,s=e.length-1;o<s;){for(var u=o,c=s,f=e[Math.floor(Math.random()*(s-o+1))+o];u<c;)if(i(e[u],f)>=0){var l=e[c];e[c]=e[u],e[u]=l,--c}else++u;i(e[u],f)>0&&--u,t<=u?s=u:o=u+1}return e[t]}}))),so=Qe("sort",["typed","matrix","compare","compareNatural"],(function(e){var t=e.typed,r=e.matrix,n=e.compare,i=e.compareNatural,a=n,o=function(e,t){return-n(e,t)};return t("sort",{Array:function(e){return u(e),e.sort(a)},Matrix:function(e){return c(e),r(e.toArray().sort(a),e.storage())},"Array, function":function(e,t){return u(e),e.sort(t)},"Matrix, function":function(e,t){return c(e),r(e.toArray().sort(t),e.storage())},"Array, string":function(e,t){return u(e),e.sort(s(t))},"Matrix, string":function(e,t){return c(e),r(e.toArray().sort(s(t)),e.storage())}});function s(e){if("asc"===e)return a;if("desc"===e)return o;if("natural"===e)return i;throw new Error('String "asc", "desc", or "natural" expected')}function u(e){if(1!==Se(e).length)throw new Error("One dimensional array expected")}function c(e){if(1!==e.size().length)throw new Error("One dimensional matrix expected")}})),uo=Qe("max",["typed","config","numeric","larger"],(function(e){var t=e.typed,r=e.config,n=e.numeric,i=e.larger;return t("max",{"Array | Matrix":o,"Array | Matrix, number | BigNumber":function(e,t){return Vt(e,t.valueOf(),a)},"...":function(e){if($t(e))throw new TypeError("Scalar values expected in function max");return o(e)}});function a(e,t){try{return i(e,t)?e:t}catch(e){throw ya(e,"max",t)}}function o(e){var t;if(Ht(e,(function(e){try{isNaN(e)&&"number"==typeof e?t=NaN:(void 0===t||i(e,t))&&(t=e)}catch(t){throw ya(t,"max",e)}})),void 0===t)throw new Error("Cannot calculate max of an empty array");return"string"==typeof t&&(t=n(t,r.number)),t}})),co=Qe("min",["typed","config","numeric","smaller"],(function(e){var t=e.typed,r=e.config,n=e.numeric,i=e.smaller;return t("min",{"Array | Matrix":o,"Array | Matrix, number | BigNumber":function(e,t){return Vt(e,t.valueOf(),a)},"...":function(e){if($t(e))throw new TypeError("Scalar values expected in function min");return o(e)}});function a(e,t){try{return i(e,t)?e:t}catch(e){throw ya(e,"min",t)}}function o(e){var t;if(Ht(e,(function(e){try{isNaN(e)&&"number"==typeof e?t=NaN:(void 0===t||i(e,t))&&(t=e)}catch(t){throw ya(t,"min",e)}})),void 0===t)throw new Error("Cannot calculate min of an empty array");return"string"==typeof t&&(t=n(t,r.number)),t}})),fo=Qe("ImmutableDenseMatrix",["smaller","DenseMatrix"],(function(e){var t=e.smaller,r=e.DenseMatrix;function n(e,t){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!l(t))throw new Error("Invalid datatype: "+t);if(m(e)||p(e)){var i=new r(e,t);this._data=i._data,this._size=i._size,this._datatype=i._datatype,this._min=null,this._max=null}else if(e&&p(e.data)&&p(e.size))this._data=e.data,this._size=e.size,this._datatype=e.datatype,this._min=void 0!==e.min?e.min:null,this._max=void 0!==e.max?e.max:null;else{if(e)throw new TypeError("Unsupported type of data ("+H(e)+")");this._data=[],this._size=[0],this._datatype=t,this._min=null,this._max=null}}return n.prototype=new r,n.prototype.type="ImmutableDenseMatrix",n.prototype.isImmutableDenseMatrix=!0,n.prototype.subset=function(e){switch(arguments.length){case 1:var t=r.prototype.subset.call(this,e);return m(t)?new n({data:t._data,size:t._size,datatype:t._datatype}):t;case 2:case 3:throw new Error("Cannot invoke set subset on an Immutable Matrix instance");default:throw new SyntaxError("Wrong number of arguments")}},n.prototype.set=function(){throw new Error("Cannot invoke set on an Immutable Matrix instance")},n.prototype.resize=function(){throw new Error("Cannot invoke resize on an Immutable Matrix instance")},n.prototype.reshape=function(){throw new Error("Cannot invoke reshape on an Immutable Matrix instance")},n.prototype.clone=function(){return new n({data:He(this._data),size:He(this._size),datatype:this._datatype})},n.prototype.toJSON=function(){return{mathjs:"ImmutableDenseMatrix",data:this._data,size:this._size,datatype:this._datatype}},n.fromJSON=function(e){return new n(e)},n.prototype.swapRows=function(){throw new Error("Cannot invoke swapRows on an Immutable Matrix instance")},n.prototype.min=function(){if(null===this._min){var e=null;this.forEach((function(r){(null===e||t(r,e))&&(e=r)})),this._min=null!==e?e:void 0}return this._min},n.prototype.max=function(){if(null===this._max){var e=null;this.forEach((function(r){(null===e||t(e,r))&&(e=r)})),this._max=null!==e?e:void 0}return this._max},n}),{isClass:!0}),lo=Qe("Index",["ImmutableDenseMatrix"],(function(e){var t=e.ImmutableDenseMatrix;function r(e){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");this._dimensions=[],this._isScalar=!0;for(var t=0,i=arguments.length;t<i;t++){var a=arguments[t];if(y(a))this._dimensions.push(a),this._isScalar=!1;else if(Array.isArray(a)||m(a)){var o=n(a.valueOf());this._dimensions.push(o);var s=o.size();1===s.length&&1===s[0]||(this._isScalar=!1)}else if("number"==typeof a)this._dimensions.push(n([a]));else{if("string"!=typeof a)throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range");this._dimensions.push(a)}}}function n(e){for(var r=0,n=e.length;r<n;r++)if("number"!=typeof e[r]||!Z(e[r]))throw new TypeError("Index parameters must be positive integer numbers");return new t(e)}return r.prototype.type="Index",r.prototype.isIndex=!0,r.prototype.clone=function(){var e=new r;return e._dimensions=He(this._dimensions),e._isScalar=this._isScalar,e},r.create=function(e){var t=new r;return r.apply(t,e),t},r.prototype.size=function(){for(var e=[],t=0,r=this._dimensions.length;t<r;t++){var n=this._dimensions[t];e[t]="string"==typeof n?1:n.size()[0]}return e},r.prototype.max=function(){for(var e=[],t=0,r=this._dimensions.length;t<r;t++){var n=this._dimensions[t];e[t]="string"==typeof n?n:n.max()}return e},r.prototype.min=function(){for(var e=[],t=0,r=this._dimensions.length;t<r;t++){var n=this._dimensions[t];e[t]="string"==typeof n?n:n.min()}return e},r.prototype.forEach=function(e){for(var t=0,r=this._dimensions.length;t<r;t++)e(this._dimensions[t],t,this)},r.prototype.dimension=function(e){return this._dimensions[e]||null},r.prototype.isObjectProperty=function(){return 1===this._dimensions.length&&"string"==typeof this._dimensions[0]},r.prototype.getObjectProperty=function(){return this.isObjectProperty()?this._dimensions[0]:null},r.prototype.isScalar=function(){return this._isScalar},r.prototype.toArray=function(){for(var e=[],t=0,r=this._dimensions.length;t<r;t++){var n=this._dimensions[t];e.push("string"==typeof n?n:n.toArray())}return e},r.prototype.valueOf=r.prototype.toArray,r.prototype.toString=function(){for(var e=[],t=0,r=this._dimensions.length;t<r;t++){var n=this._dimensions[t];"string"==typeof n?e.push(JSON.stringify(n)):e.push(n.toString())}return"["+e.join(", ")+"]"},r.prototype.toJSON=function(){return{mathjs:"Index",dimensions:this._dimensions}},r.fromJSON=function(e){return r.create(e.dimensions)},r}),{isClass:!0}),po=Qe("FibonacciHeap",["smaller","larger"],(function(e){var t=e.smaller,r=e.larger,n=1/Math.log((1+Math.sqrt(5))/2);function i(){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");this._minimum=null,this._size=0}function a(e,t,r){t.left.right=t.right,t.right.left=t.left,r.degree--,r.child===t&&(r.child=t.right),0===r.degree&&(r.child=null),t.left=e,t.right=e.right,e.right=t,t.right.left=t,t.parent=null,t.mark=!1}i.prototype.type="FibonacciHeap",i.prototype.isFibonacciHeap=!0,i.prototype.insert=function(e,r){var n={key:e,value:r,degree:0};if(this._minimum){var i=this._minimum;n.left=i,n.right=i.right,i.right=n,n.right.left=n,t(e,i.key)&&(this._minimum=n)}else n.left=n,n.right=n,this._minimum=n;return this._size++,n},i.prototype.size=function(){return this._size},i.prototype.clear=function(){this._minimum=null,this._size=0},i.prototype.isEmpty=function(){return 0===this._size},i.prototype.extractMinimum=function(){var e=this._minimum;if(null===e)return e;for(var i=this._minimum,a=e.degree,s=e.child;a>0;){var u=s.right;s.left.right=s.right,s.right.left=s.left,s.left=i,s.right=i.right,i.right=s,s.right.left=s,s.parent=null,s=u,a--}return e.left.right=e.right,e.right.left=e.left,i=e===e.right?null:function(e,i){var a,s=Math.floor(Math.log(i)*n)+1,u=new Array(s),c=0,f=e;if(f)for(c++,f=f.right;f!==e;)c++,f=f.right;for(;c>0;){for(var l=f.degree,p=f.right;a=u[l];){if(r(f.key,a.key)){var m=a;a=f,f=m}o(a,f),u[l]=null,l++}u[l]=f,f=p,c--}e=null;for(var h=0;h<s;h++)(a=u[h])&&(e?(a.left.right=a.right,a.right.left=a.left,a.left=e,a.right=e.right,e.right=a,a.right.left=a,t(a.key,e.key)&&(e=a)):e=a);return e}(i=e.right,this._size),this._size--,this._minimum=i,e},i.prototype.remove=function(e){this._minimum=function(e,r,n){r.key=n;var i=r.parent;i&&t(r.key,i.key)&&(a(e,r,i),function e(t,r){var n=r.parent;if(!n)return;r.mark?(a(t,r,n),e(n)):r.mark=!0}(e,i));t(r.key,e.key)&&(e=r);return e}(this._minimum,e,-1),this.extractMinimum()};var o=function(e,t){e.left.right=e.right,e.right.left=e.left,e.parent=t,t.child?(e.left=t.child,e.right=t.child.right,t.child.right=e,e.right.left=e):(t.child=e,e.right=e,e.left=e),t.degree++,e.mark=!1};return i}),{isClass:!0}),mo=Qe("Spa",["addScalar","equalScalar","FibonacciHeap"],(function(e){var t=e.addScalar,r=e.equalScalar,n=e.FibonacciHeap;function i(){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");this._values=[],this._heap=new n}return i.prototype.type="Spa",i.prototype.isSpa=!0,i.prototype.set=function(e,t){if(this._values[e])this._values[e].value=t;else{var r=this._heap.insert(e,t);this._values[e]=r}},i.prototype.get=function(e){var t=this._values[e];return t?t.value:0},i.prototype.accumulate=function(e,r){var n=this._values[e];n?n.value=t(n.value,r):(n=this._heap.insert(e,r),this._values[e]=n)},i.prototype.forEach=function(e,t,n){var i=this._heap,a=this._values,o=[],s=i.extractMinimum();for(s&&o.push(s);s&&s.key<=t;)s.key>=e&&(r(s.value,0)||n(s.key,s.value,this)),(s=i.extractMinimum())&&o.push(s);for(var u=0;u<o.length;u++){var c=o[u];a[(s=i.insert(c.key,c.value)).key]=s}},i.prototype.swap=function(e,t){var r=this._values[e],n=this._values[t];if(!r&&n)r=this._heap.insert(e,n.value),this._heap.remove(n),this._values[e]=r,this._values[t]=void 0;else if(r&&!n)n=this._heap.insert(t,r.value),this._heap.remove(r),this._values[t]=n,this._values[e]=void 0;else if(r&&n){var i=r.value;r.value=n.value,n.value=i}},i}),{isClass:!0}),ho=(r(189),r(190),r(32)),vo=r.n(ho),yo=r(76),go=r.n(yo),xo=Ai((function(e){return new e(1).exp()}),{hasher:Mo}),bo=Ai((function(e){return new e(1).plus(new e(5).sqrt()).div(2)}),{hasher:Mo}),wo=Ai((function(e){return e.acos(-1)}),{hasher:Mo}),No=Ai((function(e){return wo(e).times(2)}),{hasher:Mo});function Mo(e){return e[0].precision}function Eo(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function So(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?Eo(Object(r),!0).forEach((function(t){go()(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):Eo(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}var Ao=Qe("Unit",["?on","config","addScalar","subtract","multiplyScalar","divideScalar","pow","abs","fix","round","equal","isNumeric","format","number","Complex","BigNumber","Fraction"],(function(e){var t,r,n,i=e.on,o=e.config,s=e.addScalar,c=e.subtract,l=e.multiplyScalar,p=e.divideScalar,m=e.pow,h=e.abs,d=e.fix,v=e.round,y=e.equal,g=e.isNumeric,x=e.format,b=e.number,w=e.Complex,N=e.BigNumber,M=e.Fraction,E=b;function S(e,t){if(!(this instanceof S))throw new Error("Constructor must be called with the new operator");if(null!=e&&!g(e)&&!u(e))throw new TypeError("First parameter in Unit constructor must be number, BigNumber, Fraction, Complex, or undefined");if(void 0!==t&&("string"!=typeof t||""===t))throw new TypeError("Second parameter in Unit constructor must be a string");if(void 0!==t){var r=S.parse(t);this.units=r.units,this.dimensions=r.dimensions}else{this.units=[{unit:P,prefix:q.NONE,power:0}],this.dimensions=[];for(var n=0;n<B.length;n++)this.dimensions[n]=0}this.value=null!=e?this._normalize(e):null,this.fixPrefix=!1,this.skipAutomaticSimplification=!0}function A(){for(;" "===n||"\t"===n;)C()}function O(e){return e>="0"&&e<="9"}function C(){r++,n=t.charAt(r)}function T(e){r=e,n=t.charAt(r)}function _(){var e="",t=r;if("+"===n?C():"-"===n&&(e+=n,C()),!function(e){return e>="0"&&e<="9"||"."===e}(n))return T(t),null;if("."===n){if(e+=n,C(),!O(n))return T(t),null}else{for(;O(n);)e+=n,C();"."===n&&(e+=n,C())}for(;O(n);)e+=n,C();if("E"===n||"e"===n){var i="",a=r;if(i+=n,C(),"+"!==n&&"-"!==n||(i+=n,C()),!O(n))return T(a),e;for(e+=i;O(n);)e+=n,C()}return e}function I(){for(var e="";O(n)||S.isValidAlpha(n);)e+=n,C();var t=e.charAt(0);return S.isValidAlpha(t)?e:null}function k(e){return n===e?(C(),e):null}S.prototype.type="Unit",S.prototype.isUnit=!0,S.parse=function(e,i){if(i=i||{},r=-1,n="","string"!=typeof(t=e))throw new TypeError("Invalid argument in Unit.parse, string expected");var a=new S;a.units=[];var s=1,u=!1;C(),A();var c=_(),f=null;if(c){if("BigNumber"===o.number)f=new N(c);else if("Fraction"===o.number)try{f=new M(c)}catch(e){f=parseFloat(c)}else f=parseFloat(c);A(),k("*")?(s=1,u=!0):k("/")&&(s=-1,u=!0)}for(var l=[],p=1;;){for(A();"("===n;)l.push(s),p*=s,s=1,C(),A();var m=void 0;if(!n)break;var h=n;if(null===(m=I()))throw new SyntaxError('Unexpected "'+h+'" in "'+t+'" at index '+r.toString());var d=z(m);if(null===d)throw new SyntaxError('Unit "'+m+'" not found.');var v=s*p;if(A(),k("^")){A();var y=_();if(null===y)throw new SyntaxError('In "'+e+'", "^" must be followed by a floating-point number');v*=y}a.units.push({unit:d.unit,prefix:d.prefix,power:v});for(var g=0;g<B.length;g++)a.dimensions[g]+=(d.unit.dimensions[g]||0)*v;for(A();")"===n;){if(0===l.length)throw new SyntaxError('Unmatched ")" in "'+t+'" at index '+r.toString());p/=l.pop(),C(),A()}if(u=!1,k("*")?(s=1,u=!0):k("/")?(s=-1,u=!0):s=1,d.unit.base){var x=d.unit.base.key;$.auto[x]={unit:d.unit,prefix:d.prefix}}}if(A(),n)throw new SyntaxError('Could not parse: "'+e+'"');if(u)throw new SyntaxError('Trailing characters: "'+e+'"');if(0!==l.length)throw new SyntaxError('Unmatched "(" in "'+t+'"');if(0===a.units.length&&!i.allowNoUnits)throw new SyntaxError('"'+e+'" contains no units');return a.value=void 0!==f?a._normalize(f):null,a},S.prototype.clone=function(){var e=new S;e.fixPrefix=this.fixPrefix,e.skipAutomaticSimplification=this.skipAutomaticSimplification,e.value=He(this.value),e.dimensions=this.dimensions.slice(0),e.units=[];for(var t=0;t<this.units.length;t++)for(var r in e.units[t]={},this.units[t])Je(this.units[t],r)&&(e.units[t][r]=this.units[t][r]);return e},S.prototype._isDerived=function(){return 0!==this.units.length&&(this.units.length>1||Math.abs(this.units[0].power-1)>1e-15)},S.prototype._normalize=function(e){if(null==e||0===this.units.length)return e;for(var t=e,r=S._getNumberConverter(H(e)),n=0;n<this.units.length;n++){var i=r(this.units[n].unit.value),a=r(this.units[n].prefix.value),o=r(this.units[n].power);t=l(t,m(l(i,a),o))}return t},S.prototype._denormalize=function(e,t){if(null==e||0===this.units.length)return e;for(var r=e,n=S._getNumberConverter(H(e)),i=0;i<this.units.length;i++){var a=n(this.units[i].unit.value),o=n(this.units[i].prefix.value),s=n(this.units[i].power);r=p(r,m(l(a,o),s))}return r};var z=Ai((function(e){if(Je(F,e)){var t=F[e];return{unit:t,prefix:t.prefixes[""]}}for(var r in F)if(Je(F,r)&&ge(e,r)){var n=F[r],i=e.length-r.length,a=e.substring(0,i),o=Je(n.prefixes,a)?n.prefixes[a]:void 0;if(void 0!==o)return{unit:n,prefix:o}}return null}),{hasher:function(e){return e[0]},limit:100});function R(e){return e.equalBase(D.NONE)&&null!==e.value&&!o.predictable?e.value:e}S.isValuelessUnit=function(e){return null!==z(e)},S.prototype.hasBase=function(e){if("string"==typeof e&&(e=D[e]),!e)return!1;for(var t=0;t<B.length;t++)if(Math.abs((this.dimensions[t]||0)-(e.dimensions[t]||0))>1e-12)return!1;return!0},S.prototype.equalBase=function(e){for(var t=0;t<B.length;t++)if(Math.abs((this.dimensions[t]||0)-(e.dimensions[t]||0))>1e-12)return!1;return!0},S.prototype.equals=function(e){return this.equalBase(e)&&y(this.value,e.value)},S.prototype.multiply=function(e){for(var t=this.clone(),r=0;r<B.length;r++)t.dimensions[r]=(this.dimensions[r]||0)+(e.dimensions[r]||0);for(var n=0;n<e.units.length;n++){var i=So({},e.units[n]);t.units.push(i)}if(null!==this.value||null!==e.value){var a=null===this.value?this._normalize(1):this.value,o=null===e.value?e._normalize(1):e.value;t.value=l(a,o)}else t.value=null;return t.skipAutomaticSimplification=!1,R(t)},S.prototype.divide=function(e){for(var t=this.clone(),r=0;r<B.length;r++)t.dimensions[r]=(this.dimensions[r]||0)-(e.dimensions[r]||0);for(var n=0;n<e.units.length;n++){var i=So(So({},e.units[n]),{},{power:-e.units[n].power});t.units.push(i)}if(null!==this.value||null!==e.value){var a=null===this.value?this._normalize(1):this.value,o=null===e.value?e._normalize(1):e.value;t.value=p(a,o)}else t.value=null;return t.skipAutomaticSimplification=!1,R(t)},S.prototype.pow=function(e){for(var t=this.clone(),r=0;r<B.length;r++)t.dimensions[r]=(this.dimensions[r]||0)*e;for(var n=0;n<t.units.length;n++)t.units[n].power*=e;return null!==t.value?t.value=m(t.value,e):t.value=null,t.skipAutomaticSimplification=!1,R(t)},S.prototype.abs=function(){var e=this.clone();if(null!==e.value)if(e._isDerived()||0===e.units[0].unit.offset)e.value=h(e.value);else{var t=S._getNumberConverter(H(e.value)),r=t(e.units[0].unit.value),n=t(e.units[0].unit.offset),i=l(r,n);e.value=c(h(s(e.value,i)),i)}for(var a in e.units)"VA"!==e.units[a].unit.name&&"VAR"!==e.units[a].unit.name||(e.units[a].unit=F.W);return e},S.prototype.to=function(e){var t,r=null===this.value?this._normalize(1):this.value;if("string"==typeof e)t=S.parse(e);else{if(!f(e))throw new Error("String or Unit expected as parameter");t=e.clone()}if(!this.equalBase(t))throw new Error("Units do not match ('".concat(t.toString(),"' != '").concat(this.toString(),"')"));if(null!==t.value)throw new Error("Cannot convert to a unit with a value");if(null===this.value||this._isDerived()||this.units[0].unit.offset===t.units[0].unit.offset)t.value=He(r);else{var n=S._getNumberConverter(H(r)),i=n(this.units[0].unit.value),a=n(this.units[0].unit.offset),o=l(i,a),u=n(t.units[0].unit.value),p=n(t.units[0].unit.offset),m=l(u,p);t.value=c(s(r,o),m)}return t.fixPrefix=!0,t.skipAutomaticSimplification=!0,t},S.prototype.toNumber=function(e){return E(this.toNumeric(e))},S.prototype.toNumeric=function(e){var t;return(t=e?this.to(e):this.clone())._isDerived()||0===t.units.length?t._denormalize(t.value):t._denormalize(t.value,t.units[0].prefix.value)},S.prototype.toString=function(){return this.format()},S.prototype.toJSON=function(){return{mathjs:"Unit",value:this._denormalize(this.value),unit:this.formatUnits(),fixPrefix:this.fixPrefix}},S.fromJSON=function(e){var t=new S(e.value,e.unit);return t.fixPrefix=e.fixPrefix||!1,t},S.prototype.valueOf=S.prototype.toString,S.prototype.simplify=function(){var e,t,r=this.clone(),n=[];for(var i in G)if(Je(G,i)&&r.hasBase(D[i])){e=i;break}if("NONE"===e)r.units=[];else if(e&&Je(G,e)&&(t=G[e]),t)r.units=[{unit:t.unit,prefix:t.prefix,power:1}];else{for(var a=!1,o=0;o<B.length;o++){var s=B[o];Math.abs(r.dimensions[o]||0)>1e-12&&(Je(G,s)?n.push({unit:G[s].unit,prefix:G[s].prefix,power:r.dimensions[o]||0}):a=!0)}n.length<r.units.length&&!a&&(r.units=n)}return r},S.prototype.toSI=function(){for(var e=this.clone(),t=[],r=0;r<B.length;r++){var n=B[r];if(Math.abs(e.dimensions[r]||0)>1e-12){if(!Je($.si,n))throw new Error("Cannot express custom unit "+n+" in SI units");t.push({unit:$.si[n].unit,prefix:$.si[n].prefix,power:e.dimensions[r]||0})}}return e.units=t,e.fixPrefix=!0,e.skipAutomaticSimplification=!0,e},S.prototype.formatUnits=function(){for(var e="",t="",r=0,n=0,i=0;i<this.units.length;i++)this.units[i].power>0?(r++,e+=" "+this.units[i].prefix.name+this.units[i].unit.name,Math.abs(this.units[i].power-1)>1e-15&&(e+="^"+this.units[i].power)):this.units[i].power<0&&n++;if(n>0)for(var a=0;a<this.units.length;a++)this.units[a].power<0&&(r>0?(t+=" "+this.units[a].prefix.name+this.units[a].unit.name,Math.abs(this.units[a].power+1)>1e-15&&(t+="^"+-this.units[a].power)):(t+=" "+this.units[a].prefix.name+this.units[a].unit.name,t+="^"+this.units[a].power));e=e.substr(1),t=t.substr(1),r>1&&n>0&&(e="("+e+")"),n>1&&r>0&&(t="("+t+")");var o=e;return r>0&&n>0&&(o+=" / "),o+=t},S.prototype.format=function(e){var t=this.skipAutomaticSimplification||null===this.value?this.clone():this.simplify(),r=!1;for(var n in void 0!==t.value&&null!==t.value&&u(t.value)&&(r=Math.abs(t.value.re)<1e-14),t.units)Je(t.units,n)&&t.units[n].unit&&("VA"===t.units[n].unit.name&&r?t.units[n].unit=F.VAR:"VAR"!==t.units[n].unit.name||r||(t.units[n].unit=F.VA));1!==t.units.length||t.fixPrefix||Math.abs(t.units[0].power-Math.round(t.units[0].power))<1e-14&&(t.units[0].prefix=t._bestPrefix());var i=t._denormalize(t.value),a=null!==t.value?x(i,e||{}):"",o=t.formatUnits();return t.value&&u(t.value)&&(a="("+a+")"),o.length>0&&a.length>0&&(a+=" "),a+=o},S.prototype._bestPrefix=function(){if(1!==this.units.length)throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!");if(Math.abs(this.units[0].power-Math.round(this.units[0].power))>=1e-14)throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!");var e=null!==this.value?h(this.value):0,t=h(this.units[0].unit.value),r=this.units[0].prefix;if(0===e)return r;var n=this.units[0].power,i=Math.log(e/Math.pow(r.value*t,n))/Math.LN10-1.2;if(i>-2.200001&&i<1.800001)return r;i=Math.abs(i);var a=this.units[0].unit.prefixes;for(var o in a)if(Je(a,o)){var s=a[o];if(s.scientific){var u=Math.abs(Math.log(e/Math.pow(s.value*t,n))/Math.LN10-1.2);(u<i||u===i&&s.name.length<r.name.length)&&(r=s,i=u)}}return r},S.prototype.splitUnit=function(e){for(var t=this.clone(),r=[],n=0;n<e.length&&(t=t.to(e[n]),n!==e.length-1);n++){var i=t.toNumeric(),a=v(i),o=new S(y(a,i)?a:d(t.toNumeric()),e[n].toString());r.push(o),t=c(t,o)}for(var u=0,f=0;f<r.length;f++)u=s(u,r[f].value);return y(u,this.value)&&(t.value=0),r.push(t),r};var q={NONE:{"":{name:"",value:1,scientific:!0}},SHORT:{"":{name:"",value:1,scientific:!0},da:{name:"da",value:10,scientific:!1},h:{name:"h",value:100,scientific:!1},k:{name:"k",value:1e3,scientific:!0},M:{name:"M",value:1e6,scientific:!0},G:{name:"G",value:1e9,scientific:!0},T:{name:"T",value:1e12,scientific:!0},P:{name:"P",value:1e15,scientific:!0},E:{name:"E",value:1e18,scientific:!0},Z:{name:"Z",value:1e21,scientific:!0},Y:{name:"Y",value:1e24,scientific:!0},d:{name:"d",value:.1,scientific:!1},c:{name:"c",value:.01,scientific:!1},m:{name:"m",value:.001,scientific:!0},u:{name:"u",value:1e-6,scientific:!0},n:{name:"n",value:1e-9,scientific:!0},p:{name:"p",value:1e-12,scientific:!0},f:{name:"f",value:1e-15,scientific:!0},a:{name:"a",value:1e-18,scientific:!0},z:{name:"z",value:1e-21,scientific:!0},y:{name:"y",value:1e-24,scientific:!0}},LONG:{"":{name:"",value:1,scientific:!0},deca:{name:"deca",value:10,scientific:!1},hecto:{name:"hecto",value:100,scientific:!1},kilo:{name:"kilo",value:1e3,scientific:!0},mega:{name:"mega",value:1e6,scientific:!0},giga:{name:"giga",value:1e9,scientific:!0},tera:{name:"tera",value:1e12,scientific:!0},peta:{name:"peta",value:1e15,scientific:!0},exa:{name:"exa",value:1e18,scientific:!0},zetta:{name:"zetta",value:1e21,scientific:!0},yotta:{name:"yotta",value:1e24,scientific:!0},deci:{name:"deci",value:.1,scientific:!1},centi:{name:"centi",value:.01,scientific:!1},milli:{name:"milli",value:.001,scientific:!0},micro:{name:"micro",value:1e-6,scientific:!0},nano:{name:"nano",value:1e-9,scientific:!0},pico:{name:"pico",value:1e-12,scientific:!0},femto:{name:"femto",value:1e-15,scientific:!0},atto:{name:"atto",value:1e-18,scientific:!0},zepto:{name:"zepto",value:1e-21,scientific:!0},yocto:{name:"yocto",value:1e-24,scientific:!0}},SQUARED:{"":{name:"",value:1,scientific:!0},da:{name:"da",value:100,scientific:!1},h:{name:"h",value:1e4,scientific:!1},k:{name:"k",value:1e6,scientific:!0},M:{name:"M",value:1e12,scientific:!0},G:{name:"G",value:1e18,scientific:!0},T:{name:"T",value:1e24,scientific:!0},P:{name:"P",value:1e30,scientific:!0},E:{name:"E",value:1e36,scientific:!0},Z:{name:"Z",value:1e42,scientific:!0},Y:{name:"Y",value:1e48,scientific:!0},d:{name:"d",value:.01,scientific:!1},c:{name:"c",value:1e-4,scientific:!1},m:{name:"m",value:1e-6,scientific:!0},u:{name:"u",value:1e-12,scientific:!0},n:{name:"n",value:1e-18,scientific:!0},p:{name:"p",value:1e-24,scientific:!0},f:{name:"f",value:1e-30,scientific:!0},a:{name:"a",value:1e-36,scientific:!0},z:{name:"z",value:1e-42,scientific:!0},y:{name:"y",value:1e-48,scientific:!0}},CUBIC:{"":{name:"",value:1,scientific:!0},da:{name:"da",value:1e3,scientific:!1},h:{name:"h",value:1e6,scientific:!1},k:{name:"k",value:1e9,scientific:!0},M:{name:"M",value:1e18,scientific:!0},G:{name:"G",value:1e27,scientific:!0},T:{name:"T",value:1e36,scientific:!0},P:{name:"P",value:1e45,scientific:!0},E:{name:"E",value:1e54,scientific:!0},Z:{name:"Z",value:1e63,scientific:!0},Y:{name:"Y",value:1e72,scientific:!0},d:{name:"d",value:.001,scientific:!1},c:{name:"c",value:1e-6,scientific:!1},m:{name:"m",value:1e-9,scientific:!0},u:{name:"u",value:1e-18,scientific:!0},n:{name:"n",value:1e-27,scientific:!0},p:{name:"p",value:1e-36,scientific:!0},f:{name:"f",value:1e-45,scientific:!0},a:{name:"a",value:1e-54,scientific:!0},z:{name:"z",value:1e-63,scientific:!0},y:{name:"y",value:1e-72,scientific:!0}},BINARY_SHORT_SI:{"":{name:"",value:1,scientific:!0},k:{name:"k",value:1e3,scientific:!0},M:{name:"M",value:1e6,scientific:!0},G:{name:"G",value:1e9,scientific:!0},T:{name:"T",value:1e12,scientific:!0},P:{name:"P",value:1e15,scientific:!0},E:{name:"E",value:1e18,scientific:!0},Z:{name:"Z",value:1e21,scientific:!0},Y:{name:"Y",value:1e24,scientific:!0}},BINARY_SHORT_IEC:{"":{name:"",value:1,scientific:!0},Ki:{name:"Ki",value:1024,scientific:!0},Mi:{name:"Mi",value:Math.pow(1024,2),scientific:!0},Gi:{name:"Gi",value:Math.pow(1024,3),scientific:!0},Ti:{name:"Ti",value:Math.pow(1024,4),scientific:!0},Pi:{name:"Pi",value:Math.pow(1024,5),scientific:!0},Ei:{name:"Ei",value:Math.pow(1024,6),scientific:!0},Zi:{name:"Zi",value:Math.pow(1024,7),scientific:!0},Yi:{name:"Yi",value:Math.pow(1024,8),scientific:!0}},BINARY_LONG_SI:{"":{name:"",value:1,scientific:!0},kilo:{name:"kilo",value:1e3,scientific:!0},mega:{name:"mega",value:1e6,scientific:!0},giga:{name:"giga",value:1e9,scientific:!0},tera:{name:"tera",value:1e12,scientific:!0},peta:{name:"peta",value:1e15,scientific:!0},exa:{name:"exa",value:1e18,scientific:!0},zetta:{name:"zetta",value:1e21,scientific:!0},yotta:{name:"yotta",value:1e24,scientific:!0}},BINARY_LONG_IEC:{"":{name:"",value:1,scientific:!0},kibi:{name:"kibi",value:1024,scientific:!0},mebi:{name:"mebi",value:Math.pow(1024,2),scientific:!0},gibi:{name:"gibi",value:Math.pow(1024,3),scientific:!0},tebi:{name:"tebi",value:Math.pow(1024,4),scientific:!0},pebi:{name:"pebi",value:Math.pow(1024,5),scientific:!0},exi:{name:"exi",value:Math.pow(1024,6),scientific:!0},zebi:{name:"zebi",value:Math.pow(1024,7),scientific:!0},yobi:{name:"yobi",value:Math.pow(1024,8),scientific:!0}},BTU:{"":{name:"",value:1,scientific:!0},MM:{name:"MM",value:1e6,scientific:!0}}};q.SHORTLONG=vo()({},q.SHORT,q.LONG),q.BINARY_SHORT=vo()({},q.BINARY_SHORT_SI,q.BINARY_SHORT_IEC),q.BINARY_LONG=vo()({},q.BINARY_LONG_SI,q.BINARY_LONG_IEC);var B=["MASS","LENGTH","TIME","CURRENT","TEMPERATURE","LUMINOUS_INTENSITY","AMOUNT_OF_SUBSTANCE","ANGLE","BIT"],D={NONE:{dimensions:[0,0,0,0,0,0,0,0,0]},MASS:{dimensions:[1,0,0,0,0,0,0,0,0]},LENGTH:{dimensions:[0,1,0,0,0,0,0,0,0]},TIME:{dimensions:[0,0,1,0,0,0,0,0,0]},CURRENT:{dimensions:[0,0,0,1,0,0,0,0,0]},TEMPERATURE:{dimensions:[0,0,0,0,1,0,0,0,0]},LUMINOUS_INTENSITY:{dimensions:[0,0,0,0,0,1,0,0,0]},AMOUNT_OF_SUBSTANCE:{dimensions:[0,0,0,0,0,0,1,0,0]},FORCE:{dimensions:[1,1,-2,0,0,0,0,0,0]},SURFACE:{dimensions:[0,2,0,0,0,0,0,0,0]},VOLUME:{dimensions:[0,3,0,0,0,0,0,0,0]},ENERGY:{dimensions:[1,2,-2,0,0,0,0,0,0]},POWER:{dimensions:[1,2,-3,0,0,0,0,0,0]},PRESSURE:{dimensions:[1,-1,-2,0,0,0,0,0,0]},ELECTRIC_CHARGE:{dimensions:[0,0,1,1,0,0,0,0,0]},ELECTRIC_CAPACITANCE:{dimensions:[-1,-2,4,2,0,0,0,0,0]},ELECTRIC_POTENTIAL:{dimensions:[1,2,-3,-1,0,0,0,0,0]},ELECTRIC_RESISTANCE:{dimensions:[1,2,-3,-2,0,0,0,0,0]},ELECTRIC_INDUCTANCE:{dimensions:[1,2,-2,-2,0,0,0,0,0]},ELECTRIC_CONDUCTANCE:{dimensions:[-1,-2,3,2,0,0,0,0,0]},MAGNETIC_FLUX:{dimensions:[1,2,-2,-1,0,0,0,0,0]},MAGNETIC_FLUX_DENSITY:{dimensions:[1,0,-2,-1,0,0,0,0,0]},FREQUENCY:{dimensions:[0,0,-1,0,0,0,0,0,0]},ANGLE:{dimensions:[0,0,0,0,0,0,0,1,0]},BIT:{dimensions:[0,0,0,0,0,0,0,0,1]}};for(var j in D)Je(D,j)&&(D[j].key=j);var P={name:"",base:{},value:1,offset:0,dimensions:B.map((function(e){return 0}))},F={meter:{name:"meter",base:D.LENGTH,prefixes:q.LONG,value:1,offset:0},inch:{name:"inch",base:D.LENGTH,prefixes:q.NONE,value:.0254,offset:0},foot:{name:"foot",base:D.LENGTH,prefixes:q.NONE,value:.3048,offset:0},yard:{name:"yard",base:D.LENGTH,prefixes:q.NONE,value:.9144,offset:0},mile:{name:"mile",base:D.LENGTH,prefixes:q.NONE,value:1609.344,offset:0},link:{name:"link",base:D.LENGTH,prefixes:q.NONE,value:.201168,offset:0},rod:{name:"rod",base:D.LENGTH,prefixes:q.NONE,value:5.0292,offset:0},chain:{name:"chain",base:D.LENGTH,prefixes:q.NONE,value:20.1168,offset:0},angstrom:{name:"angstrom",base:D.LENGTH,prefixes:q.NONE,value:1e-10,offset:0},m:{name:"m",base:D.LENGTH,prefixes:q.SHORT,value:1,offset:0},in:{name:"in",base:D.LENGTH,prefixes:q.NONE,value:.0254,offset:0},ft:{name:"ft",base:D.LENGTH,prefixes:q.NONE,value:.3048,offset:0},yd:{name:"yd",base:D.LENGTH,prefixes:q.NONE,value:.9144,offset:0},mi:{name:"mi",base:D.LENGTH,prefixes:q.NONE,value:1609.344,offset:0},li:{name:"li",base:D.LENGTH,prefixes:q.NONE,value:.201168,offset:0},rd:{name:"rd",base:D.LENGTH,prefixes:q.NONE,value:5.02921,offset:0},ch:{name:"ch",base:D.LENGTH,prefixes:q.NONE,value:20.1168,offset:0},mil:{name:"mil",base:D.LENGTH,prefixes:q.NONE,value:254e-7,offset:0},m2:{name:"m2",base:D.SURFACE,prefixes:q.SQUARED,value:1,offset:0},sqin:{name:"sqin",base:D.SURFACE,prefixes:q.NONE,value:64516e-8,offset:0},sqft:{name:"sqft",base:D.SURFACE,prefixes:q.NONE,value:.09290304,offset:0},sqyd:{name:"sqyd",base:D.SURFACE,prefixes:q.NONE,value:.83612736,offset:0},sqmi:{name:"sqmi",base:D.SURFACE,prefixes:q.NONE,value:2589988.110336,offset:0},sqrd:{name:"sqrd",base:D.SURFACE,prefixes:q.NONE,value:25.29295,offset:0},sqch:{name:"sqch",base:D.SURFACE,prefixes:q.NONE,value:404.6873,offset:0},sqmil:{name:"sqmil",base:D.SURFACE,prefixes:q.NONE,value:6.4516e-10,offset:0},acre:{name:"acre",base:D.SURFACE,prefixes:q.NONE,value:4046.86,offset:0},hectare:{name:"hectare",base:D.SURFACE,prefixes:q.NONE,value:1e4,offset:0},m3:{name:"m3",base:D.VOLUME,prefixes:q.CUBIC,value:1,offset:0},L:{name:"L",base:D.VOLUME,prefixes:q.SHORT,value:.001,offset:0},l:{name:"l",base:D.VOLUME,prefixes:q.SHORT,value:.001,offset:0},litre:{name:"litre",base:D.VOLUME,prefixes:q.LONG,value:.001,offset:0},cuin:{name:"cuin",base:D.VOLUME,prefixes:q.NONE,value:16387064e-12,offset:0},cuft:{name:"cuft",base:D.VOLUME,prefixes:q.NONE,value:.028316846592,offset:0},cuyd:{name:"cuyd",base:D.VOLUME,prefixes:q.NONE,value:.764554857984,offset:0},teaspoon:{name:"teaspoon",base:D.VOLUME,prefixes:q.NONE,value:5e-6,offset:0},tablespoon:{name:"tablespoon",base:D.VOLUME,prefixes:q.NONE,value:15e-6,offset:0},drop:{name:"drop",base:D.VOLUME,prefixes:q.NONE,value:5e-8,offset:0},gtt:{name:"gtt",base:D.VOLUME,prefixes:q.NONE,value:5e-8,offset:0},minim:{name:"minim",base:D.VOLUME,prefixes:q.NONE,value:6.161152e-8,offset:0},fluiddram:{name:"fluiddram",base:D.VOLUME,prefixes:q.NONE,value:36966911e-13,offset:0},fluidounce:{name:"fluidounce",base:D.VOLUME,prefixes:q.NONE,value:2957353e-11,offset:0},gill:{name:"gill",base:D.VOLUME,prefixes:q.NONE,value:.0001182941,offset:0},cc:{name:"cc",base:D.VOLUME,prefixes:q.NONE,value:1e-6,offset:0},cup:{name:"cup",base:D.VOLUME,prefixes:q.NONE,value:.0002365882,offset:0},pint:{name:"pint",base:D.VOLUME,prefixes:q.NONE,value:.0004731765,offset:0},quart:{name:"quart",base:D.VOLUME,prefixes:q.NONE,value:.0009463529,offset:0},gallon:{name:"gallon",base:D.VOLUME,prefixes:q.NONE,value:.003785412,offset:0},beerbarrel:{name:"beerbarrel",base:D.VOLUME,prefixes:q.NONE,value:.1173478,offset:0},oilbarrel:{name:"oilbarrel",base:D.VOLUME,prefixes:q.NONE,value:.1589873,offset:0},hogshead:{name:"hogshead",base:D.VOLUME,prefixes:q.NONE,value:.238481,offset:0},fldr:{name:"fldr",base:D.VOLUME,prefixes:q.NONE,value:36966911e-13,offset:0},floz:{name:"floz",base:D.VOLUME,prefixes:q.NONE,value:2957353e-11,offset:0},gi:{name:"gi",base:D.VOLUME,prefixes:q.NONE,value:.0001182941,offset:0},cp:{name:"cp",base:D.VOLUME,prefixes:q.NONE,value:.0002365882,offset:0},pt:{name:"pt",base:D.VOLUME,prefixes:q.NONE,value:.0004731765,offset:0},qt:{name:"qt",base:D.VOLUME,prefixes:q.NONE,value:.0009463529,offset:0},gal:{name:"gal",base:D.VOLUME,prefixes:q.NONE,value:.003785412,offset:0},bbl:{name:"bbl",base:D.VOLUME,prefixes:q.NONE,value:.1173478,offset:0},obl:{name:"obl",base:D.VOLUME,prefixes:q.NONE,value:.1589873,offset:0},g:{name:"g",base:D.MASS,prefixes:q.SHORT,value:.001,offset:0},gram:{name:"gram",base:D.MASS,prefixes:q.LONG,value:.001,offset:0},ton:{name:"ton",base:D.MASS,prefixes:q.SHORT,value:907.18474,offset:0},t:{name:"t",base:D.MASS,prefixes:q.SHORT,value:1e3,offset:0},tonne:{name:"tonne",base:D.MASS,prefixes:q.LONG,value:1e3,offset:0},grain:{name:"grain",base:D.MASS,prefixes:q.NONE,value:6479891e-11,offset:0},dram:{name:"dram",base:D.MASS,prefixes:q.NONE,value:.0017718451953125,offset:0},ounce:{name:"ounce",base:D.MASS,prefixes:q.NONE,value:.028349523125,offset:0},poundmass:{name:"poundmass",base:D.MASS,prefixes:q.NONE,value:.45359237,offset:0},hundredweight:{name:"hundredweight",base:D.MASS,prefixes:q.NONE,value:45.359237,offset:0},stick:{name:"stick",base:D.MASS,prefixes:q.NONE,value:.115,offset:0},stone:{name:"stone",base:D.MASS,prefixes:q.NONE,value:6.35029318,offset:0},gr:{name:"gr",base:D.MASS,prefixes:q.NONE,value:6479891e-11,offset:0},dr:{name:"dr",base:D.MASS,prefixes:q.NONE,value:.0017718451953125,offset:0},oz:{name:"oz",base:D.MASS,prefixes:q.NONE,value:.028349523125,offset:0},lbm:{name:"lbm",base:D.MASS,prefixes:q.NONE,value:.45359237,offset:0},cwt:{name:"cwt",base:D.MASS,prefixes:q.NONE,value:45.359237,offset:0},s:{name:"s",base:D.TIME,prefixes:q.SHORT,value:1,offset:0},min:{name:"min",base:D.TIME,prefixes:q.NONE,value:60,offset:0},h:{name:"h",base:D.TIME,prefixes:q.NONE,value:3600,offset:0},second:{name:"second",base:D.TIME,prefixes:q.LONG,value:1,offset:0},sec:{name:"sec",base:D.TIME,prefixes:q.LONG,value:1,offset:0},minute:{name:"minute",base:D.TIME,prefixes:q.NONE,value:60,offset:0},hour:{name:"hour",base:D.TIME,prefixes:q.NONE,value:3600,offset:0},day:{name:"day",base:D.TIME,prefixes:q.NONE,value:86400,offset:0},week:{name:"week",base:D.TIME,prefixes:q.NONE,value:604800,offset:0},month:{name:"month",base:D.TIME,prefixes:q.NONE,value:2629800,offset:0},year:{name:"year",base:D.TIME,prefixes:q.NONE,value:31557600,offset:0},decade:{name:"decade",base:D.TIME,prefixes:q.NONE,value:315576e3,offset:0},century:{name:"century",base:D.TIME,prefixes:q.NONE,value:315576e4,offset:0},millennium:{name:"millennium",base:D.TIME,prefixes:q.NONE,value:315576e5,offset:0},hertz:{name:"Hertz",base:D.FREQUENCY,prefixes:q.LONG,value:1,offset:0,reciprocal:!0},Hz:{name:"Hz",base:D.FREQUENCY,prefixes:q.SHORT,value:1,offset:0,reciprocal:!0},rad:{name:"rad",base:D.ANGLE,prefixes:q.SHORT,value:1,offset:0},radian:{name:"radian",base:D.ANGLE,prefixes:q.LONG,value:1,offset:0},deg:{name:"deg",base:D.ANGLE,prefixes:q.SHORT,value:null,offset:0},degree:{name:"degree",base:D.ANGLE,prefixes:q.LONG,value:null,offset:0},grad:{name:"grad",base:D.ANGLE,prefixes:q.SHORT,value:null,offset:0},gradian:{name:"gradian",base:D.ANGLE,prefixes:q.LONG,value:null,offset:0},cycle:{name:"cycle",base:D.ANGLE,prefixes:q.NONE,value:null,offset:0},arcsec:{name:"arcsec",base:D.ANGLE,prefixes:q.NONE,value:null,offset:0},arcmin:{name:"arcmin",base:D.ANGLE,prefixes:q.NONE,value:null,offset:0},A:{name:"A",base:D.CURRENT,prefixes:q.SHORT,value:1,offset:0},ampere:{name:"ampere",base:D.CURRENT,prefixes:q.LONG,value:1,offset:0},K:{name:"K",base:D.TEMPERATURE,prefixes:q.NONE,value:1,offset:0},degC:{name:"degC",base:D.TEMPERATURE,prefixes:q.NONE,value:1,offset:273.15},degF:{name:"degF",base:D.TEMPERATURE,prefixes:q.NONE,value:1/1.8,offset:459.67},degR:{name:"degR",base:D.TEMPERATURE,prefixes:q.NONE,value:1/1.8,offset:0},kelvin:{name:"kelvin",base:D.TEMPERATURE,prefixes:q.NONE,value:1,offset:0},celsius:{name:"celsius",base:D.TEMPERATURE,prefixes:q.NONE,value:1,offset:273.15},fahrenheit:{name:"fahrenheit",base:D.TEMPERATURE,prefixes:q.NONE,value:1/1.8,offset:459.67},rankine:{name:"rankine",base:D.TEMPERATURE,prefixes:q.NONE,value:1/1.8,offset:0},mol:{name:"mol",base:D.AMOUNT_OF_SUBSTANCE,prefixes:q.SHORT,value:1,offset:0},mole:{name:"mole",base:D.AMOUNT_OF_SUBSTANCE,prefixes:q.LONG,value:1,offset:0},cd:{name:"cd",base:D.LUMINOUS_INTENSITY,prefixes:q.SHORT,value:1,offset:0},candela:{name:"candela",base:D.LUMINOUS_INTENSITY,prefixes:q.LONG,value:1,offset:0},N:{name:"N",base:D.FORCE,prefixes:q.SHORT,value:1,offset:0},newton:{name:"newton",base:D.FORCE,prefixes:q.LONG,value:1,offset:0},dyn:{name:"dyn",base:D.FORCE,prefixes:q.SHORT,value:1e-5,offset:0},dyne:{name:"dyne",base:D.FORCE,prefixes:q.LONG,value:1e-5,offset:0},lbf:{name:"lbf",base:D.FORCE,prefixes:q.NONE,value:4.4482216152605,offset:0},poundforce:{name:"poundforce",base:D.FORCE,prefixes:q.NONE,value:4.4482216152605,offset:0},kip:{name:"kip",base:D.FORCE,prefixes:q.LONG,value:4448.2216,offset:0},kilogramforce:{name:"kilogramforce",base:D.FORCE,prefixes:q.NONE,value:9.80665,offset:0},J:{name:"J",base:D.ENERGY,prefixes:q.SHORT,value:1,offset:0},joule:{name:"joule",base:D.ENERGY,prefixes:q.SHORT,value:1,offset:0},erg:{name:"erg",base:D.ENERGY,prefixes:q.NONE,value:1e-7,offset:0},Wh:{name:"Wh",base:D.ENERGY,prefixes:q.SHORT,value:3600,offset:0},BTU:{name:"BTU",base:D.ENERGY,prefixes:q.BTU,value:1055.05585262,offset:0},eV:{name:"eV",base:D.ENERGY,prefixes:q.SHORT,value:1602176565e-28,offset:0},electronvolt:{name:"electronvolt",base:D.ENERGY,prefixes:q.LONG,value:1602176565e-28,offset:0},W:{name:"W",base:D.POWER,prefixes:q.SHORT,value:1,offset:0},watt:{name:"watt",base:D.POWER,prefixes:q.LONG,value:1,offset:0},hp:{name:"hp",base:D.POWER,prefixes:q.NONE,value:745.6998715386,offset:0},VAR:{name:"VAR",base:D.POWER,prefixes:q.SHORT,value:w.I,offset:0},VA:{name:"VA",base:D.POWER,prefixes:q.SHORT,value:1,offset:0},Pa:{name:"Pa",base:D.PRESSURE,prefixes:q.SHORT,value:1,offset:0},psi:{name:"psi",base:D.PRESSURE,prefixes:q.NONE,value:6894.75729276459,offset:0},atm:{name:"atm",base:D.PRESSURE,prefixes:q.NONE,value:101325,offset:0},bar:{name:"bar",base:D.PRESSURE,prefixes:q.SHORTLONG,value:1e5,offset:0},torr:{name:"torr",base:D.PRESSURE,prefixes:q.NONE,value:133.322,offset:0},mmHg:{name:"mmHg",base:D.PRESSURE,prefixes:q.NONE,value:133.322,offset:0},mmH2O:{name:"mmH2O",base:D.PRESSURE,prefixes:q.NONE,value:9.80665,offset:0},cmH2O:{name:"cmH2O",base:D.PRESSURE,prefixes:q.NONE,value:98.0665,offset:0},coulomb:{name:"coulomb",base:D.ELECTRIC_CHARGE,prefixes:q.LONG,value:1,offset:0},C:{name:"C",base:D.ELECTRIC_CHARGE,prefixes:q.SHORT,value:1,offset:0},farad:{name:"farad",base:D.ELECTRIC_CAPACITANCE,prefixes:q.LONG,value:1,offset:0},F:{name:"F",base:D.ELECTRIC_CAPACITANCE,prefixes:q.SHORT,value:1,offset:0},volt:{name:"volt",base:D.ELECTRIC_POTENTIAL,prefixes:q.LONG,value:1,offset:0},V:{name:"V",base:D.ELECTRIC_POTENTIAL,prefixes:q.SHORT,value:1,offset:0},ohm:{name:"ohm",base:D.ELECTRIC_RESISTANCE,prefixes:q.SHORTLONG,value:1,offset:0},henry:{name:"henry",base:D.ELECTRIC_INDUCTANCE,prefixes:q.LONG,value:1,offset:0},H:{name:"H",base:D.ELECTRIC_INDUCTANCE,prefixes:q.SHORT,value:1,offset:0},siemens:{name:"siemens",base:D.ELECTRIC_CONDUCTANCE,prefixes:q.LONG,value:1,offset:0},S:{name:"S",base:D.ELECTRIC_CONDUCTANCE,prefixes:q.SHORT,value:1,offset:0},weber:{name:"weber",base:D.MAGNETIC_FLUX,prefixes:q.LONG,value:1,offset:0},Wb:{name:"Wb",base:D.MAGNETIC_FLUX,prefixes:q.SHORT,value:1,offset:0},tesla:{name:"tesla",base:D.MAGNETIC_FLUX_DENSITY,prefixes:q.LONG,value:1,offset:0},T:{name:"T",base:D.MAGNETIC_FLUX_DENSITY,prefixes:q.SHORT,value:1,offset:0},b:{name:"b",base:D.BIT,prefixes:q.BINARY_SHORT,value:1,offset:0},bits:{name:"bits",base:D.BIT,prefixes:q.BINARY_LONG,value:1,offset:0},B:{name:"B",base:D.BIT,prefixes:q.BINARY_SHORT,value:8,offset:0},bytes:{name:"bytes",base:D.BIT,prefixes:q.BINARY_LONG,value:8,offset:0}},U={meters:"meter",inches:"inch",feet:"foot",yards:"yard",miles:"mile",links:"link",rods:"rod",chains:"chain",angstroms:"angstrom",lt:"l",litres:"litre",liter:"litre",liters:"litre",teaspoons:"teaspoon",tablespoons:"tablespoon",minims:"minim",fluiddrams:"fluiddram",fluidounces:"fluidounce",gills:"gill",cups:"cup",pints:"pint",quarts:"quart",gallons:"gallon",beerbarrels:"beerbarrel",oilbarrels:"oilbarrel",hogsheads:"hogshead",gtts:"gtt",grams:"gram",tons:"ton",tonnes:"tonne",grains:"grain",drams:"dram",ounces:"ounce",poundmasses:"poundmass",hundredweights:"hundredweight",sticks:"stick",lb:"lbm",lbs:"lbm",kips:"kip",kgf:"kilogramforce",acres:"acre",hectares:"hectare",sqfeet:"sqft",sqyard:"sqyd",sqmile:"sqmi",sqmiles:"sqmi",mmhg:"mmHg",mmh2o:"mmH2O",cmh2o:"cmH2O",seconds:"second",secs:"second",minutes:"minute",mins:"minute",hours:"hour",hr:"hour",hrs:"hour",days:"day",weeks:"week",months:"month",years:"year",decades:"decade",centuries:"century",millennia:"millennium",hertz:"hertz",radians:"radian",degrees:"degree",gradians:"gradian",cycles:"cycle",arcsecond:"arcsec",arcseconds:"arcsec",arcminute:"arcmin",arcminutes:"arcmin",BTUs:"BTU",watts:"watt",joules:"joule",amperes:"ampere",coulombs:"coulomb",volts:"volt",ohms:"ohm",farads:"farad",webers:"weber",teslas:"tesla",electronvolts:"electronvolt",moles:"mole",bit:"bits",byte:"bytes"};function L(e){if("BigNumber"===e.number){var t=wo(N);F.rad.value=new N(1),F.deg.value=t.div(180),F.grad.value=t.div(200),F.cycle.value=t.times(2),F.arcsec.value=t.div(648e3),F.arcmin.value=t.div(10800)}else F.rad.value=1,F.deg.value=Math.PI/180,F.grad.value=Math.PI/200,F.cycle.value=2*Math.PI,F.arcsec.value=Math.PI/648e3,F.arcmin.value=Math.PI/10800;F.radian.value=F.rad.value,F.degree.value=F.deg.value,F.gradian.value=F.grad.value}L(o),i&&i("config",(function(e,t){e.number!==t.number&&L(e)}));var $={si:{NONE:{unit:P,prefix:q.NONE[""]},LENGTH:{unit:F.m,prefix:q.SHORT[""]},MASS:{unit:F.g,prefix:q.SHORT.k},TIME:{unit:F.s,prefix:q.SHORT[""]},CURRENT:{unit:F.A,prefix:q.SHORT[""]},TEMPERATURE:{unit:F.K,prefix:q.SHORT[""]},LUMINOUS_INTENSITY:{unit:F.cd,prefix:q.SHORT[""]},AMOUNT_OF_SUBSTANCE:{unit:F.mol,prefix:q.SHORT[""]},ANGLE:{unit:F.rad,prefix:q.SHORT[""]},BIT:{unit:F.bits,prefix:q.SHORT[""]},FORCE:{unit:F.N,prefix:q.SHORT[""]},ENERGY:{unit:F.J,prefix:q.SHORT[""]},POWER:{unit:F.W,prefix:q.SHORT[""]},PRESSURE:{unit:F.Pa,prefix:q.SHORT[""]},ELECTRIC_CHARGE:{unit:F.C,prefix:q.SHORT[""]},ELECTRIC_CAPACITANCE:{unit:F.F,prefix:q.SHORT[""]},ELECTRIC_POTENTIAL:{unit:F.V,prefix:q.SHORT[""]},ELECTRIC_RESISTANCE:{unit:F.ohm,prefix:q.SHORT[""]},ELECTRIC_INDUCTANCE:{unit:F.H,prefix:q.SHORT[""]},ELECTRIC_CONDUCTANCE:{unit:F.S,prefix:q.SHORT[""]},MAGNETIC_FLUX:{unit:F.Wb,prefix:q.SHORT[""]},MAGNETIC_FLUX_DENSITY:{unit:F.T,prefix:q.SHORT[""]},FREQUENCY:{unit:F.Hz,prefix:q.SHORT[""]}}};$.cgs=JSON.parse(JSON.stringify($.si)),$.cgs.LENGTH={unit:F.m,prefix:q.SHORT.c},$.cgs.MASS={unit:F.g,prefix:q.SHORT[""]},$.cgs.FORCE={unit:F.dyn,prefix:q.SHORT[""]},$.cgs.ENERGY={unit:F.erg,prefix:q.NONE[""]},$.us=JSON.parse(JSON.stringify($.si)),$.us.LENGTH={unit:F.ft,prefix:q.NONE[""]},$.us.MASS={unit:F.lbm,prefix:q.NONE[""]},$.us.TEMPERATURE={unit:F.degF,prefix:q.NONE[""]},$.us.FORCE={unit:F.lbf,prefix:q.NONE[""]},$.us.ENERGY={unit:F.BTU,prefix:q.BTU[""]},$.us.POWER={unit:F.hp,prefix:q.NONE[""]},$.us.PRESSURE={unit:F.psi,prefix:q.NONE[""]},$.auto=JSON.parse(JSON.stringify($.si));var G=$.auto;for(var V in S.setUnitSystem=function(e){if(!Je($,e))throw new Error("Unit system "+e+" does not exist. Choices are: "+Object.keys($).join(", "));G=$[e]},S.getUnitSystem=function(){for(var e in $)if(Je($,e)&&$[e]===G)return e},S.typeConverters={BigNumber:function(e){return new N(e+"")},Fraction:function(e){return new M(e)},Complex:function(e){return e},number:function(e){return e}},S._getNumberConverter=function(e){if(!S.typeConverters[e])throw new TypeError('Unsupported type "'+e+'"');return S.typeConverters[e]},F)if(Je(F,V)){var Z=F[V];Z.dimensions=Z.base.dimensions}for(var W in U)if(Je(U,W)){var Y=F[U[W]],J={};for(var X in Y)Je(Y,X)&&(J[X]=Y[X]);J.name=W,F[W]=J}return S.isValidAlpha=function(e){return/^[a-zA-Z]$/.test(e)},S.createUnit=function(e,t){if("object"!==a()(e))throw new TypeError("createUnit expects first parameter to be of type 'Object'");if(t&&t.override)for(var r in e)if(Je(e,r)&&S.deleteUnit(r),e[r].aliases)for(var n=0;n<e[r].aliases.length;n++)S.deleteUnit(e[r].aliases[n]);var i;for(var o in e)Je(e,o)&&(i=S.createUnitSingle(o,e[o]));return i},S.createUnitSingle=function(e,t,r){if(null==t&&(t={}),"string"!=typeof e)throw new TypeError("createUnitSingle expects first parameter to be of type 'string'");if(Je(F,e))throw new Error('Cannot create unit "'+e+'": a unit with that name already exists');!function(e){for(var t=0;t<e.length;t++){if(n=e.charAt(t),0===t&&!S.isValidAlpha(n))throw new Error('Invalid unit name (must begin with alpha character): "'+e+'"');if(t>0&&!S.isValidAlpha(n)&&!O(n))throw new Error('Invalid unit name (only alphanumeric characters are allowed): "'+e+'"')}}(e);var i,o,s,u=null,c=[],f=0;if(t&&"Unit"===t.type)u=t.clone();else if("string"==typeof t)""!==t&&(i=t);else{if("object"!==a()(t))throw new TypeError('Cannot create unit "'+e+'" from "'+t.toString()+'": expecting "string" or "Unit" or "Object"');i=t.definition,o=t.prefixes,f=t.offset,s=t.baseName,t.aliases&&(c=t.aliases.valueOf())}if(c)for(var l=0;l<c.length;l++)if(Je(F,c[l]))throw new Error('Cannot create alias "'+c[l]+'": a unit with that name already exists');if(i&&"string"==typeof i&&!u)try{u=S.parse(i,{allowNoUnits:!0})}catch(t){throw t.message='Could not create unit "'+e+'" from "'+i+'": '+t.message,t}else i&&"Unit"===i.type&&(u=i.clone());c=c||[],f=f||0,o=o&&o.toUpperCase&&q[o.toUpperCase()]||q.NONE;var p={};if(u){p={name:e,value:u.value,dimensions:u.dimensions.slice(0),prefixes:o,offset:f};var m=!1;for(var h in D)if(Je(D,h)){for(var d=!0,v=0;v<B.length;v++)if(Math.abs((p.dimensions[v]||0)-(D[h].dimensions[v]||0))>1e-12){d=!1;break}if(d){m=!0,p.base=D[h];break}}if(!m){s=s||e+"_STUFF";var y={dimensions:u.dimensions.slice(0)};y.key=s,D[s]=y,G[s]={unit:p,prefix:q.NONE[""]},p.base=D[s]}}else{if(s=s||e+"_STUFF",B.indexOf(s)>=0)throw new Error('Cannot create new base unit "'+e+'": a base unit with that name already exists (and cannot be overridden)');for(var g in B.push(s),D)Je(D,g)&&(D[g].dimensions[B.length-1]=0);for(var x={dimensions:[]},b=0;b<B.length;b++)x.dimensions[b]=0;x.dimensions[B.length-1]=1,x.key=s,D[s]=x,p={name:e,value:1,dimensions:D[s].dimensions.slice(0),prefixes:o,offset:f,base:D[s]},G[s]={unit:p,prefix:q.NONE[""]}}S.UNITS[e]=p;for(var w=0;w<c.length;w++){var N=c[w],M={};for(var E in p)Je(p,E)&&(M[E]=p[E]);M.name=N,S.UNITS[N]=M}return delete z.cache,new S(null,e)},S.deleteUnit=function(e){delete S.UNITS[e]},S.PREFIXES=q,S.BASE_DIMENSIONS=B,S.BASE_UNITS=D,S.UNIT_SYSTEMS=$,S.UNITS=F,S}),{isClass:!0}),Oo=Qe("unit",["typed","Unit"],(function(e){var t=e.typed,r=e.Unit;return t("unit",{Unit:function(e){return e.clone()},string:function(e){return r.isValuelessUnit(e)?new r(null,e):r.parse(e,{allowNoUnits:!0})},"number | BigNumber | Fraction | Complex, string":function(e,t){return new r(e,t)},"Array | Matrix":function(e){return Gt(e,this)}})})),Co=Qe("sparse",["typed","SparseMatrix"],(function(e){var t=e.typed,r=e.SparseMatrix;return t("sparse",{"":function(){return new r([])},string:function(e){return new r([],e)},"Array | Matrix":function(e){return new r(e)},"Array | Matrix, string":function(e,t){return new r(e,t)}})})),To=Qe("createUnit",["typed","Unit"],(function(e){var t=e.typed,r=e.Unit;return t("createUnit",{"Object, Object":function(e,t){return r.createUnit(e,t)},Object:function(e){return r.createUnit(e,{})},"string, Unit | string | Object, Object":function(e,t,n){var i={};return i[e]=t,r.createUnit(i,n)},"string, Unit | string | Object":function(e,t){var n={};return n[e]=t,r.createUnit(n,{})},string:function(e){var t={};return t[e]={},r.createUnit(t,{})}})})),_o=Qe("acos",["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t("acos",{number:function(e){return e>=-1&&e<=1||r.predictable?Math.acos(e):new n(e,0).acos()},Complex:function(e){return e.acos()},BigNumber:function(e){return e.acos()},"Array | Matrix":function(e){return Gt(e,this)}})}));function Io(e){return ce(e)}function ko(e){return Math.atan(1/e)}function zo(e){return isFinite(e)?(Math.log((e+1)/e)+Math.log(e/(e-1)))/2:0}function Ro(e){return Math.asin(1/e)}function qo(e){var t=1/e;return Math.log(t+Math.sqrt(t*t+1))}function Bo(e){return Math.acos(1/e)}function Do(e){var t=1/e,r=Math.sqrt(t*t-1);return Math.log(r+t)}function jo(e){return fe(e)}function Po(e){return le(e)}function Fo(e){return 1/Math.tan(e)}function Uo(e){var t=Math.exp(2*e);return(t+1)/(t-1)}function Lo(e){return 1/Math.sin(e)}function $o(e){return 0===e?Number.POSITIVE_INFINITY:Math.abs(2/(Math.exp(e)-Math.exp(-e)))*W(e)}function Ho(e){return 1/Math.cos(e)}function Go(e){return 2/(Math.exp(e)+Math.exp(-e))}function Vo(e){return me(e)}Io.signature="number",ko.signature="number",zo.signature="number",Ro.signature="number",qo.signature="number",Bo.signature="number",Do.signature="number",jo.signature="number",Po.signature="number",Fo.signature="number",Uo.signature="number",Lo.signature="number",$o.signature="number",Ho.signature="number",Go.signature="number",Vo.signature="number";var Zo=Qe("acosh",["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t("acosh",{number:function(e){return e>=1||r.predictable?Io(e):e<=-1?new n(Math.log(Math.sqrt(e*e-1)-e),Math.PI):new n(e,0).acosh()},Complex:function(e){return e.acosh()},BigNumber:function(e){return e.acosh()},"Array | Matrix":function(e){return Gt(e,this)}})})),Wo=Qe("acot",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("acot",{number:ko,Complex:function(e){return e.acot()},BigNumber:function(e){return new r(1).div(e).atan()},"Array | Matrix":function(e){return Gt(e,this)}})})),Yo=Qe("acoth",["typed","config","Complex","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.Complex,i=e.BigNumber;return t("acoth",{number:function(e){return e>=1||e<=-1||r.predictable?zo(e):new n(e,0).acoth()},Complex:function(e){return e.acoth()},BigNumber:function(e){return new i(1).div(e).atanh()},"Array | Matrix":function(e){return Gt(e,this)}})})),Jo=Qe("acsc",["typed","config","Complex","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.Complex,i=e.BigNumber;return t("acsc",{number:function(e){return e<=-1||e>=1||r.predictable?Ro(e):new n(e,0).acsc()},Complex:function(e){return e.acsc()},BigNumber:function(e){return new i(1).div(e).asin()},"Array | Matrix":function(e){return Gt(e,this)}})})),Xo=Qe("acsch",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("acsch",{number:qo,Complex:function(e){return e.acsch()},BigNumber:function(e){return new r(1).div(e).asinh()},"Array | Matrix":function(e){return Gt(e,this)}})})),Qo=Qe("asec",["typed","config","Complex","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.Complex,i=e.BigNumber;return t("asec",{number:function(e){return e<=-1||e>=1||r.predictable?Bo(e):new n(e,0).asec()},Complex:function(e){return e.asec()},BigNumber:function(e){return new i(1).div(e).acos()},"Array | Matrix":function(e){return Gt(e,this)}})})),Ko=Qe("asech",["typed","config","Complex","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.Complex,i=e.BigNumber;return t("asech",{number:function(e){if(e<=1&&e>=-1||r.predictable){var t=1/e;if(t>0||r.predictable)return Do(e);var i=Math.sqrt(t*t-1);return new n(Math.log(i-t),Math.PI)}return new n(e,0).asech()},Complex:function(e){return e.asech()},BigNumber:function(e){return new i(1).div(e).acosh()},"Array | Matrix":function(e){return Gt(e,this)}})})),es=Qe("asin",["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t("asin",{number:function(e){return e>=-1&&e<=1||r.predictable?Math.asin(e):new n(e,0).asin()},Complex:function(e){return e.asin()},BigNumber:function(e){return e.asin()},"Array | Matrix":function(e){return Gt(e,this,!0)}})})),ts=Qe("asinh",["typed"],(function(e){return(0,e.typed)("asinh",{number:jo,Complex:function(e){return e.asinh()},BigNumber:function(e){return e.asinh()},"Array | Matrix":function(e){return Gt(e,this,!0)}})})),rs=Qe("atan",["typed"],(function(e){return(0,e.typed)("atan",{number:function(e){return Math.atan(e)},Complex:function(e){return e.atan()},BigNumber:function(e){return e.atan()},"Array | Matrix":function(e){return Gt(e,this,!0)}})})),ns=Qe("atan2",["typed","matrix","equalScalar","BigNumber","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.BigNumber,a=e.DenseMatrix,o=wn({typed:t,equalScalar:n}),s=An({typed:t}),u=Pn({typed:t,equalScalar:n}),c=en({typed:t,equalScalar:n}),f=tn({typed:t,DenseMatrix:a}),l=xn({typed:t}),p=rn({typed:t});return t("atan2",{"number, number":Math.atan2,"BigNumber, BigNumber":function(e,t){return i.atan2(e,t)},"SparseMatrix, SparseMatrix":function(e,t){return u(e,t,this,!1)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,this,!0)},"DenseMatrix, SparseMatrix":function(e,t){return s(e,t,this,!1)},"DenseMatrix, DenseMatrix":function(e,t){return l(e,t,this)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"SparseMatrix, number | BigNumber":function(e,t){return c(e,t,this,!1)},"DenseMatrix, number | BigNumber":function(e,t){return p(e,t,this,!1)},"number | BigNumber, SparseMatrix":function(e,t){return f(t,e,this,!0)},"number | BigNumber, DenseMatrix":function(e,t){return p(t,e,this,!0)},"Array, number | BigNumber":function(e,t){return p(r(e),t,this,!1).valueOf()},"number | BigNumber, Array":function(e,t){return p(r(t),e,this,!0).valueOf()}})})),is=Qe("atanh",["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t("atanh",{number:function(e){return e<=1&&e>=-1||r.predictable?Po(e):new n(e,0).atanh()},Complex:function(e){return e.atanh()},BigNumber:function(e){return e.atanh()},"Array | Matrix":function(e){return Gt(e,this,!0)}})})),as=Qe("cos",["typed"],(function(e){return(0,e.typed)("cos",{number:Math.cos,Complex:function(e){return e.cos()},BigNumber:function(e){return e.cos()},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function cos is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),os=Qe("cosh",["typed"],(function(e){return(0,e.typed)("cosh",{number:pe,Complex:function(e){return e.cosh()},BigNumber:function(e){return e.cosh()},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function cosh is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),ss=Qe("cot",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("cot",{number:Fo,Complex:function(e){return e.cot()},BigNumber:function(e){return new r(1).div(e.tan())},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function cot is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),us=Qe("coth",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("coth",{number:Uo,Complex:function(e){return e.coth()},BigNumber:function(e){return new r(1).div(e.tanh())},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function coth is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),cs=Qe("csc",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("csc",{number:Lo,Complex:function(e){return e.csc()},BigNumber:function(e){return new r(1).div(e.sin())},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function csc is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),fs=Qe("csch",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("csch",{number:$o,Complex:function(e){return e.csch()},BigNumber:function(e){return new r(1).div(e.sinh())},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function csch is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),ls=Qe("sec",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("sec",{number:Ho,Complex:function(e){return e.sec()},BigNumber:function(e){return new r(1).div(e.cos())},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function sec is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),ps=Qe("sech",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("sech",{number:Go,Complex:function(e){return e.sech()},BigNumber:function(e){return new r(1).div(e.cosh())},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function sech is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this)}})})),ms=Qe("sin",["typed"],(function(e){return(0,e.typed)("sin",{number:Math.sin,Complex:function(e){return e.sin()},BigNumber:function(e){return e.sin()},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function sin is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this,!0)}})})),hs=Qe("sinh",["typed"],(function(e){return(0,e.typed)("sinh",{number:Vo,Complex:function(e){return e.sinh()},BigNumber:function(e){return e.sinh()},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function sinh is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this,!0)}})})),ds=Qe("tan",["typed"],(function(e){return(0,e.typed)("tan",{number:Math.tan,Complex:function(e){return e.tan()},BigNumber:function(e){return e.tan()},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function tan is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this,!0)}})})),vs=Qe("tanh",["typed"],(function(e){return(0,e.typed)("tanh",{number:he,Complex:function(e){return e.tanh()},BigNumber:function(e){return e.tanh()},Unit:function(e){if(!e.hasBase(e.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function tanh is no angle");return this(e.value)},"Array | Matrix":function(e){return Gt(e,this,!0)}})})),ys=Qe("setCartesian",["typed","size","subset","compareNatural","Index","DenseMatrix"],(function(e){var t=e.typed,r=e.size,n=e.subset,i=e.compareNatural,a=e.Index,o=e.DenseMatrix;return t("setCartesian",{"Array | Matrix, Array | Matrix":function(e,t){var s=[];if(0!==n(r(e),new a(0))&&0!==n(r(t),new a(0))){var u=Re(Array.isArray(e)?e:e.toArray()).sort(i),c=Re(Array.isArray(t)?t:t.toArray()).sort(i);s=[];for(var f=0;f<u.length;f++)for(var l=0;l<c.length;l++)s.push([u[f],c[l]])}return Array.isArray(e)&&Array.isArray(t)?s:new o(s)}})})),gs=Qe("setDifference",["typed","size","subset","compareNatural","Index","DenseMatrix"],(function(e){var t=e.typed,r=e.size,n=e.subset,i=e.compareNatural,a=e.Index,o=e.DenseMatrix;return t("setDifference",{"Array | Matrix, Array | Matrix":function(e,t){var s;if(0===n(r(e),new a(0)))s=[];else{if(0===n(r(t),new a(0)))return Re(e.toArray());var u,c=Fe(Re(Array.isArray(e)?e:e.toArray()).sort(i)),f=Fe(Re(Array.isArray(t)?t:t.toArray()).sort(i));s=[];for(var l=0;l<c.length;l++){u=!1;for(var p=0;p<f.length;p++)if(0===i(c[l].value,f[p].value)&&c[l].identifier===f[p].identifier){u=!0;break}u||s.push(c[l])}}return Array.isArray(e)&&Array.isArray(t)?Ue(s):new o(Ue(s))}})})),xs=Qe("setDistinct",["typed","size","subset","compareNatural","Index","DenseMatrix"],(function(e){var t=e.typed,r=e.size,n=e.subset,i=e.compareNatural,a=e.Index,o=e.DenseMatrix;return t("setDistinct",{"Array | Matrix":function(e){var t;if(0===n(r(e),new a(0)))t=[];else{var s=Re(Array.isArray(e)?e:e.toArray()).sort(i);(t=[]).push(s[0]);for(var u=1;u<s.length;u++)0!==i(s[u],s[u-1])&&t.push(s[u])}return Array.isArray(e)?t:new o(t)}})})),bs=Qe("setIntersect",["typed","size","subset","compareNatural","Index","DenseMatrix"],(function(e){var t=e.typed,r=e.size,n=e.subset,i=e.compareNatural,a=e.Index,o=e.DenseMatrix;return t("setIntersect",{"Array | Matrix, Array | Matrix":function(e,t){var s;if(0===n(r(e),new a(0))||0===n(r(t),new a(0)))s=[];else{var u=Fe(Re(Array.isArray(e)?e:e.toArray()).sort(i)),c=Fe(Re(Array.isArray(t)?t:t.toArray()).sort(i));s=[];for(var f=0;f<u.length;f++)for(var l=0;l<c.length;l++)if(0===i(u[f].value,c[l].value)&&u[f].identifier===c[l].identifier){s.push(u[f]);break}}return Array.isArray(e)&&Array.isArray(t)?Ue(s):new o(Ue(s))}})})),ws=Qe("setIsSubset",["typed","size","subset","compareNatural","Index"],(function(e){var t=e.typed,r=e.size,n=e.subset,i=e.compareNatural,a=e.Index;return t("setIsSubset",{"Array | Matrix, Array | Matrix":function(e,t){if(0===n(r(e),new a(0)))return!0;if(0===n(r(t),new a(0)))return!1;for(var o,s=Fe(Re(Array.isArray(e)?e:e.toArray()).sort(i)),u=Fe(Re(Array.isArray(t)?t:t.toArray()).sort(i)),c=0;c<s.length;c++){o=!1;for(var f=0;f<u.length;f++)if(0===i(s[c].value,u[f].value)&&s[c].identifier===u[f].identifier){o=!0;break}if(!1===o)return!1}return!0}})})),Ns=Qe("setMultiplicity",["typed","size","subset","compareNatural","Index"],(function(e){var t=e.typed,r=e.size,n=e.subset,i=e.compareNatural,a=e.Index;return t("setMultiplicity",{"number | BigNumber | Fraction | Complex, Array | Matrix":function(e,t){if(0===n(r(t),new a(0)))return 0;for(var o=Re(Array.isArray(t)?t:t.toArray()),s=0,u=0;u<o.length;u++)0===i(o[u],e)&&s++;return s}})})),Ms=Qe("setPowerset",["typed","size","subset","compareNatural","Index"],(function(e){var t=e.typed,r=e.size,n=e.subset,i=e.compareNatural,a=e.Index;return t("setPowerset",{"Array | Matrix":function(e){if(0===n(r(e),new a(0)))return[];for(var t=Re(Array.isArray(e)?e:e.toArray()).sort(i),s=[],u=0;u.toString(2).length<=t.length;)s.push(o(t,u.toString(2).split("").reverse())),u++;return function(e){for(var t=[],r=e.length-1;r>0;r--)for(var n=0;n<r;n++)e[n].length>e[n+1].length&&(t=e[n],e[n]=e[n+1],e[n+1]=t);return e}(s)}});function o(e,t){for(var r=[],n=0;n<t.length;n++)"1"===t[n]&&r.push(e[n]);return r}})),Es=Qe("setSize",["typed","compareNatural"],(function(e){var t=e.typed,r=e.compareNatural;return t("setSize",{"Array | Matrix":function(e){return Array.isArray(e)?Re(e).length:Re(e.toArray()).length},"Array | Matrix, boolean":function(e,t){if(!1===t||0===e.length)return Array.isArray(e)?Re(e).length:Re(e.toArray()).length;for(var n=Re(Array.isArray(e)?e:e.toArray()).sort(r),i=1,a=1;a<n.length;a++)0!==r(n[a],n[a-1])&&i++;return i}})})),Ss=Qe("setSymDifference",["typed","size","concat","subset","setDifference","Index"],(function(e){var t=e.typed,r=e.size,n=e.concat,i=e.subset,a=e.setDifference,o=e.Index;return t("setSymDifference",{"Array | Matrix, Array | Matrix":function(e,t){if(0===i(r(e),new o(0)))return Re(t);if(0===i(r(t),new o(0)))return Re(e);var s=Re(e),u=Re(t);return n(a(s,u),a(u,s))}})})),As=Qe("setUnion",["typed","size","concat","subset","setIntersect","setSymDifference","Index"],(function(e){var t=e.typed,r=e.size,n=e.concat,i=e.subset,a=e.setIntersect,o=e.setSymDifference,s=e.Index;return t("setUnion",{"Array | Matrix, Array | Matrix":function(e,t){if(0===i(r(e),new s(0)))return Re(t);if(0===i(r(t),new s(0)))return Re(e);var u=Re(e),c=Re(t);return n(o(u,c),a(u,c))}})})),Os=Qe("add",["typed","matrix","addScalar","equalScalar","DenseMatrix","SparseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.addScalar,i=e.equalScalar,a=e.DenseMatrix,o=(e.SparseMatrix,vn({typed:t})),s=yn({typed:t,equalScalar:i}),u=gn({typed:t,DenseMatrix:a}),c=xn({typed:t}),f=rn({typed:t});return t("add",Ve({"DenseMatrix, DenseMatrix":function(e,t){return c(e,t,n)},"DenseMatrix, SparseMatrix":function(e,t){return o(e,t,n,!1)},"SparseMatrix, DenseMatrix":function(e,t){return o(t,e,n,!0)},"SparseMatrix, SparseMatrix":function(e,t){return s(e,t,n)},"Array, Array":function(e,t){return this(r(e),r(t)).valueOf()},"Array, Matrix":function(e,t){return this(r(e),t)},"Matrix, Array":function(e,t){return this(e,r(t))},"DenseMatrix, any":function(e,t){return f(e,t,n,!1)},"SparseMatrix, any":function(e,t){return u(e,t,n,!1)},"any, DenseMatrix":function(e,t){return f(t,e,n,!0)},"any, SparseMatrix":function(e,t){return u(t,e,n,!0)},"Array, any":function(e,t){return f(r(e),t,n,!1).valueOf()},"any, Array":function(e,t){return f(r(t),e,n,!0).valueOf()},"any, any":n,"any, any, ...any":function(e,t,r){for(var n=this(e,t),i=0;i<r.length;i++)n=this(n,r[i]);return n}},n.signatures))})),Cs=Qe("hypot",["typed","abs","addScalar","divideScalar","multiplyScalar","sqrt","smaller","isPositive"],(function(e){var t=e.typed,r=e.abs,n=e.addScalar,i=e.divideScalar,a=e.multiplyScalar,o=e.sqrt,s=e.smaller,u=e.isPositive;return t("hypot",{"... number | BigNumber":function(e){for(var t=0,c=0,f=0;f<e.length;f++){var l=r(e[f]);s(c,l)?(t=a(t,a(i(c,l),i(c,l))),t=n(t,1),c=l):t=n(t,u(l)?a(i(l,c),i(l,c)):l)}return a(c,o(t))},Array:function(e){return this.apply(this,Re(e))},Matrix:function(e){return this.apply(this,Re(e.toArray()))}})})),Ts=Qe("norm",["typed","abs","add","pow","conj","sqrt","multiply","equalScalar","larger","smaller","matrix","ctranspose","eigs"],(function(e){var t=e.typed,r=e.abs,n=e.add,i=e.pow,a=e.conj,o=e.sqrt,s=e.multiply,u=e.equalScalar,c=e.larger,f=e.smaller,l=e.matrix,p=e.ctranspose,m=e.eigs;return t("norm",{number:Math.abs,Complex:function(e){return e.abs()},BigNumber:function(e){return e.abs()},boolean:function(e){return Math.abs(e)},Array:function(e){return v(l(e),2)},Matrix:function(e){return v(e,2)},"number | Complex | BigNumber | boolean, number | BigNumber | string":function(e){return this(e)},"Array, number | BigNumber | string":function(e,t){return v(l(e),t)},"Matrix, number | BigNumber | string":function(e,t){return v(e,t)}});function h(e,t){if(t===Number.POSITIVE_INFINITY||"inf"===t)return function(e){var t=0;return e.forEach((function(e){var n=r(e);c(n,t)&&(t=n)}),!0),t}(e);if(t===Number.NEGATIVE_INFINITY||"-inf"===t)return function(e){var t;return e.forEach((function(e){var n=r(e);t&&!f(n,t)||(t=n)}),!0),t||0}(e);if("fro"===t)return v(e,2);if("number"==typeof t&&!isNaN(t)){if(!u(t,0)){var a=0;return e.forEach((function(e){a=n(i(r(e),t),a)}),!0),i(a,1/t)}return Number.POSITIVE_INFINITY}throw new Error("Unsupported parameter value")}function d(e,t){if(1===t)return function(e){var t=[],i=0;return e.forEach((function(e,a){var o=a[1],s=n(t[o]||0,r(e));c(s,i)&&(i=s),t[o]=s}),!0),i}(e);if(t===Number.POSITIVE_INFINITY||"inf"===t)return function(e){var t=[],i=0;return e.forEach((function(e,a){var o=a[0],s=n(t[o]||0,r(e));c(s,i)&&(i=s),t[o]=s}),!0),i}(e);if("fro"===t)return function(e){var t=0;return e.forEach((function(e,r){t=n(t,s(e,a(e)))})),r(o(t))}(e);if(2===t)return function(e){var t=e.size();if(t[0]!==t[1])throw new RangeError("Invalid matrix dimensions");var n=p(e),i=s(n,e),a=m(i).values.toArray(),u=a[a.length-1];return r(o(u))}(e);throw new Error("Unsupported parameter value "+t)}function v(e,t){var r=e.size();if(1===r.length)return h(e,t);if(2===r.length){if(r[0]&&r[1])return d(e,t);throw new RangeError("Invalid matrix dimensions")}}})),_s=Qe("dot",["typed","addScalar","multiplyScalar","conj","size"],(function(e){var t=e.typed,r=e.addScalar,n=e.multiplyScalar,i=e.conj,a=e.size;return t("dot",{"Array | DenseMatrix, Array | DenseMatrix":function(e,a){var u=o(e,a),c=m(e)?e._data:e,f=m(e)?e._datatype:void 0,l=m(a)?a._data:a,p=m(a)?a._datatype:void 0,h=2===s(e).length,d=2===s(a).length,v=r,y=n;if(f&&p&&f===p&&"string"==typeof f){var g=f;v=t.find(r,[g,g]),y=t.find(n,[g,g])}if(!h&&!d){for(var x=y(i(c[0]),l[0]),b=1;b<u;b++)x=v(x,y(i(c[b]),l[b]));return x}if(!h&&d){for(var w=y(i(c[0]),l[0][0]),N=1;N<u;N++)w=v(w,y(i(c[N]),l[N][0]));return w}if(h&&!d){for(var M=y(i(c[0][0]),l[0]),E=1;E<u;E++)M=v(M,y(i(c[E][0]),l[E]));return M}if(h&&d){for(var S=y(i(c[0][0]),l[0][0]),A=1;A<u;A++)S=v(S,y(i(c[A][0]),l[A][0]));return S}},"SparseMatrix, SparseMatrix":function(e,t){o(e,t);var i=e._index,a=e._values,s=t._index,u=t._values,c=0,f=r,l=n,p=0,m=0;for(;p<i.length&&m<s.length;){var h=i[p],d=s[m];h<d?p++:h>d?m++:h===d&&(c=f(c,l(a[p],u[m])),p++,m++)}return c}});function o(e,t){var r,n,i=s(e),a=s(t);if(1===i.length)r=i[0];else{if(2!==i.length||1!==i[1])throw new RangeError("Expected a column vector, instead got a matrix of size ("+i.join(", ")+")");r=i[0]}if(1===a.length)n=a[0];else{if(2!==a.length||1!==a[1])throw new RangeError("Expected a column vector, instead got a matrix of size ("+a.join(", ")+")");n=a[0]}if(r!==n)throw new RangeError("Vectors must have equal length ("+r+" != "+n+")");if(0===r)throw new RangeError("Cannot calculate the dot product of empty vectors");return r}function s(e){return m(e)?e.size():a(e)}})),Is=Qe("trace",["typed","matrix","add"],(function(e){var t=e.typed,r=e.matrix,n=e.add;return t("trace",{Array:function(e){return i(r(e))},SparseMatrix:function(e){var t=e._values,r=e._index,i=e._ptr,a=e._size,o=a[0],s=a[1];if(o===s){var u=0;if(t.length>0)for(var c=0;c<s;c++)for(var f=i[c],l=i[c+1],p=f;p<l;p++){var m=r[p];if(m===c){u=n(u,t[p]);break}if(m>c)break}return u}throw new RangeError("Matrix must be square (size: "+xe(a)+")")},DenseMatrix:i,any:He});function i(e){var t=e._size,r=e._data;switch(t.length){case 1:if(1===t[0])return He(r[0]);throw new RangeError("Matrix must be square (size: "+xe(t)+")");case 2:var i=t[0];if(i===t[1]){for(var a=0,o=0;o<i;o++)a=n(a,r[o][o]);return a}throw new RangeError("Matrix must be square (size: "+xe(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+xe(t)+")")}}})),ks=Qe("index",["typed","Index"],(function(e){var t=e.typed,r=e.Index;return t("index",{"...number | string | BigNumber | Range | Array | Matrix":function(e){var t=e.map((function(e){return s(e)?e.toNumber():Array.isArray(e)||m(e)?e.map((function(e){return s(e)?e.toNumber():e})):e})),n=new r;return r.apply(n,t),n}})})),zs=(r(191),new Set(["end"])),Rs=Qe("Node",["mathWithTransform"],(function(e){var t=e.mathWithTransform;function r(){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator")}return r.prototype.evaluate=function(e){return this.compile().evaluate(e)},r.prototype.type="Node",r.prototype.isNode=!0,r.prototype.comment="",r.prototype.compile=function(){var e=this._compile(t,{}),r={};return{evaluate:function(t){var n=vt(t);return function(e){for(var t=0,r=sa()(zs);t<r.length;t++){var n=r[t];if(e.has(n))throw new Error('Scope contains an illegal symbol, "'+n+'" is a reserved keyword')}}(n),e(n,r,null)}}},r.prototype._compile=function(e,t){throw new Error("Method _compile should be implemented by type "+this.type)},r.prototype.forEach=function(e){throw new Error("Cannot run forEach on a Node interface")},r.prototype.map=function(e){throw new Error("Cannot run map on a Node interface")},r.prototype._ifNode=function(e){if(!D(e))throw new TypeError("Callback function must return a Node");return e},r.prototype.traverse=function(e){e(this,null,null),function e(t,r){t.forEach((function(t,n,i){r(t,n,i),e(t,r)}))}(this,e)},r.prototype.transform=function(e){return function t(r,n,i){var a=e(r,n,i);return a!==r?a:r.map(t)}(this,null,null)},r.prototype.filter=function(e){var t=[];return this.traverse((function(r,n,i){e(r,n,i)&&t.push(r)})),t},r.prototype.clone=function(){throw new Error("Cannot clone a Node interface")},r.prototype.cloneDeep=function(){return this.map((function(e){return e.cloneDeep()}))},r.prototype.equals=function(e){return!!e&&Ze(this,e)},r.prototype.toString=function(e){var t=this._getCustomString(e);return void 0!==t?t:this._toString(e)},r.prototype.toJSON=function(){throw new Error("Cannot serialize object: toJSON not implemented by "+this.type)},r.prototype.toHTML=function(e){var t=this._getCustomString(e);return void 0!==t?t:this.toHTML(e)},r.prototype._toString=function(){throw new Error("_toString not implemented for "+this.type)},r.prototype.toTex=function(e){var t=this._getCustomString(e);return void 0!==t?t:this._toTex(e)},r.prototype._toTex=function(e){throw new Error("_toTex not implemented for "+this.type)},r.prototype._getCustomString=function(e){if(e&&"object"===a()(e))switch(a()(e.handler)){case"object":case"undefined":return;case"function":return e.handler(this,e);default:throw new TypeError("Object or function expected as callback")}},r.prototype.getIdentifier=function(){return this.type},r.prototype.getContent=function(){return this},r}),{isClass:!0,isNode:!0});function qs(e){return e&&e.isIndexError?new Ee(e.index+1,e.min+1,void 0!==e.max?e.max+1:void 0):e}function Bs(e){var t=e.subset;return function(e,r){try{if(Array.isArray(e))return t(e,r);if(e&&"function"==typeof e.subset)return e.subset(r);if("string"==typeof e)return t(e,r);if("object"===a()(e)){if(!r.isObjectProperty())throw new TypeError("Cannot apply a numeric index as object property");return at(e,r.getObjectProperty())}throw new TypeError("Cannot apply index: unsupported type of object")}catch(e){throw qs(e)}}}var Ds=Qe("AccessorNode",["subset","Node"],(function(e){var t=e.subset,r=e.Node,n=Bs({subset:t});function i(e,t){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");if(!D(e))throw new TypeError('Node expected for parameter "object"');if(!B(t))throw new TypeError('IndexNode expected for parameter "index"');this.object=e||null,this.index=t,Object.defineProperty(this,"name",{get:function(){return this.index?this.index.isObjectProperty()?this.index.getObjectProperty():"":this.object.name||""}.bind(this),set:function(){throw new Error("Cannot assign a new name, name is read-only")}})}function a(e){return!(C(e)||T(e)||z(e)||q(e)||j(e)||F(e)||L(e))}return i.prototype=new r,i.prototype.type="AccessorNode",i.prototype.isAccessorNode=!0,i.prototype._compile=function(e,t){var r=this.object._compile(e,t),i=this.index._compile(e,t);if(this.index.isObjectProperty()){var a=this.index.getObjectProperty();return function(e,t,n){return at(r(e,t,n),a)}}return function(e,t,a){var o=r(e,t,a),s=i(e,t,o);return n(o,s)}},i.prototype.forEach=function(e){e(this.object,"object",this),e(this.index,"index",this)},i.prototype.map=function(e){return new i(this._ifNode(e(this.object,"object",this)),this._ifNode(e(this.index,"index",this)))},i.prototype.clone=function(){return new i(this.object,this.index)},i.prototype._toString=function(e){var t=this.object.toString(e);return a(this.object)&&(t="("+t+")"),t+this.index.toString(e)},i.prototype.toHTML=function(e){var t=this.object.toHTML(e);return a(this.object)&&(t='<span class="math-parenthesis math-round-parenthesis">(</span>'+t+'<span class="math-parenthesis math-round-parenthesis">)</span>'),t+this.index.toHTML(e)},i.prototype._toTex=function(e){var t=this.object.toTex(e);return a(this.object)&&(t="\\left(' + object + '\\right)"),t+this.index.toTex(e)},i.prototype.toJSON=function(){return{mathjs:"AccessorNode",object:this.object,index:this.index}},i.fromJSON=function(e){return new i(e.object,e.index)},i}),{isClass:!0,isNode:!0}),js=Qe("ArrayNode",["Node"],(function(e){var t=e.Node;function r(e){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");if(this.items=e||[],!Array.isArray(this.items)||!this.items.every(D))throw new TypeError("Array containing Nodes expected")}return r.prototype=new t,r.prototype.type="ArrayNode",r.prototype.isArrayNode=!0,r.prototype._compile=function(e,t){var r=qe(this.items,(function(r){return r._compile(e,t)}));if("Array"!==e.config.matrix){var n=e.matrix;return function(e,t,i){return n(qe(r,(function(r){return r(e,t,i)})))}}return function(e,t,n){return qe(r,(function(r){return r(e,t,n)}))}},r.prototype.forEach=function(e){for(var t=0;t<this.items.length;t++){e(this.items[t],"items["+t+"]",this)}},r.prototype.map=function(e){for(var t=[],n=0;n<this.items.length;n++)t[n]=this._ifNode(e(this.items[n],"items["+n+"]",this));return new r(t)},r.prototype.clone=function(){return new r(this.items.slice(0))},r.prototype._toString=function(e){return"["+this.items.map((function(t){return t.toString(e)})).join(", ")+"]"},r.prototype.toJSON=function(){return{mathjs:"ArrayNode",items:this.items}},r.fromJSON=function(e){return new r(e.items)},r.prototype.toHTML=function(e){return'<span class="math-parenthesis math-square-parenthesis">[</span>'+this.items.map((function(t){return t.toHTML(e)})).join('<span class="math-separator">,</span>')+'<span class="math-parenthesis math-square-parenthesis">]</span>'},r.prototype._toTex=function(e){return function t(r,n){var i=r.some(T)&&!r.every(T),a=n||i,o=a?"&":"\\\\",s=r.map((function(r){return r.items?t(r.items,!n):r.toTex(e)})).join(o);return i||!a||a&&!n?"\\begin{bmatrix}"+s+"\\end{bmatrix}":s}(this.items,!1)},r}),{isClass:!0,isNode:!0});var Ps=[{AssignmentNode:{},FunctionAssignmentNode:{}},{ConditionalNode:{latexLeftParens:!1,latexRightParens:!1,latexParens:!1}},{"OperatorNode:or":{associativity:"left",associativeWith:[]}},{"OperatorNode:xor":{associativity:"left",associativeWith:[]}},{"OperatorNode:and":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitOr":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitXor":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitAnd":{associativity:"left",associativeWith:[]}},{"OperatorNode:equal":{associativity:"left",associativeWith:[]},"OperatorNode:unequal":{associativity:"left",associativeWith:[]},"OperatorNode:smaller":{associativity:"left",associativeWith:[]},"OperatorNode:larger":{associativity:"left",associativeWith:[]},"OperatorNode:smallerEq":{associativity:"left",associativeWith:[]},"OperatorNode:largerEq":{associativity:"left",associativeWith:[]},RelationalNode:{associativity:"left",associativeWith:[]}},{"OperatorNode:leftShift":{associativity:"left",associativeWith:[]},"OperatorNode:rightArithShift":{associativity:"left",associativeWith:[]},"OperatorNode:rightLogShift":{associativity:"left",associativeWith:[]}},{"OperatorNode:to":{associativity:"left",associativeWith:[]}},{RangeNode:{}},{"OperatorNode:add":{associativity:"left",associativeWith:["OperatorNode:add","OperatorNode:subtract"]},"OperatorNode:subtract":{associativity:"left",associativeWith:[]}},{"OperatorNode:multiply":{associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","Operator:dotMultiply","Operator:dotDivide"]},"OperatorNode:divide":{associativity:"left",associativeWith:[],latexLeftParens:!1,latexRightParens:!1,latexParens:!1},"OperatorNode:dotMultiply":{associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","OperatorNode:dotMultiply","OperatorNode:doDivide"]},"OperatorNode:dotDivide":{associativity:"left",associativeWith:[]},"OperatorNode:mod":{associativity:"left",associativeWith:[]}},{"OperatorNode:unaryPlus":{associativity:"right"},"OperatorNode:unaryMinus":{associativity:"right"},"OperatorNode:bitNot":{associativity:"right"},"OperatorNode:not":{associativity:"right"}},{"OperatorNode:pow":{associativity:"right",associativeWith:[],latexRightParens:!1},"OperatorNode:dotPow":{associativity:"right",associativeWith:[]}},{"OperatorNode:factorial":{associativity:"left"}},{"OperatorNode:transpose":{associativity:"left"}}];function Fs(e,t){var r=e;"keep"!==t&&(r=e.getContent());for(var n=r.getIdentifier(),i=0;i<Ps.length;i++)if(n in Ps[i])return i;return null}function Us(e,t){var r=e;"keep"!==t&&(r=e.getContent());var n=r.getIdentifier(),i=Fs(r,t);if(null===i)return null;var a=Ps[i][n];if(Je(a,"associativity")){if("left"===a.associativity)return"left";if("right"===a.associativity)return"right";throw Error("'"+n+"' has the invalid associativity '"+a.associativity+"'.")}return null}function Ls(e,t,r){var n="keep"!==r?e.getContent():e,i="keep"!==r?e.getContent():t,a=n.getIdentifier(),o=i.getIdentifier(),s=Fs(n,r);if(null===s)return null;var u=Ps[s][a];if(Je(u,"associativeWith")&&u.associativeWith instanceof Array){for(var c=0;c<u.associativeWith.length;c++)if(u.associativeWith[c]===o)return!0;return!1}return null}var $s=Qe("AssignmentNode",["subset","?matrix","Node"],(function(e){var t=e.subset,r=e.matrix,n=e.Node,i=Bs({subset:t}),o=function(e){var t=e.subset,r=e.matrix;return function(e,n,i){try{if(Array.isArray(e))return r(e).subset(n,i).valueOf();if(e&&"function"==typeof e.subset)return e.subset(n,i);if("string"==typeof e)return t(e,n,i);if("object"===a()(e)){if(!n.isObjectProperty())throw TypeError("Cannot apply a numeric index as object property");return ot(e,n.getObjectProperty(),i),e}throw new TypeError("Cannot apply index: unsupported type of object")}catch(e){throw qs(e)}}}({subset:t,matrix:r});function s(e,t,r){if(!(this instanceof s))throw new SyntaxError("Constructor must be called with the new operator");if(this.object=e,this.index=r?t:null,this.value=r||t,!L(e)&&!C(e))throw new TypeError('SymbolNode or AccessorNode expected as "object"');if(L(e)&&"end"===e.name)throw new Error('Cannot assign to symbol "end"');if(this.index&&!B(this.index))throw new TypeError('IndexNode expected as "index"');if(!D(this.value))throw new TypeError('Node expected as "value"');Object.defineProperty(this,"name",{get:function(){return this.index?this.index.isObjectProperty()?this.index.getObjectProperty():"":this.object.name||""}.bind(this),set:function(){throw new Error("Cannot assign a new name, name is read-only")}})}function u(e,t){t||(t="keep");var r=Fs(e,t),n=Fs(e.value,t);return"all"===t||null!==n&&n<=r}return s.prototype=new n,s.prototype.type="AssignmentNode",s.prototype.isAssignmentNode=!0,s.prototype._compile=function(e,t){var r=this.object._compile(e,t),n=this.index?this.index._compile(e,t):null,a=this.value._compile(e,t),s=this.object.name;if(this.index){if(this.index.isObjectProperty()){var u=this.index.getObjectProperty();return function(e,t,n){var i=r(e,t,n),o=a(e,t,n);return ot(i,u,o),o}}if(L(this.object))return function(e,t,i){var u=r(e,t,i),c=a(e,t,i),f=n(e,t,u);return e.set(s,o(u,f,c)),c};var c=this.object.object._compile(e,t);if(this.object.index.isObjectProperty()){var f=this.object.index.getObjectProperty();return function(e,t,r){var i=c(e,t,r),s=at(i,f),u=n(e,t,s),l=a(e,t,r);return ot(i,f,o(s,u,l)),l}}var l=this.object.index._compile(e,t);return function(e,t,r){var s=c(e,t,r),u=l(e,t,s),f=i(s,u),p=n(e,t,f),m=a(e,t,r);return o(s,u,o(f,p,m)),m}}if(!L(this.object))throw new TypeError("SymbolNode expected as object");return function(e,t,r){var n=a(e,t,r);return e.set(s,n),n}},s.prototype.forEach=function(e){e(this.object,"object",this),this.index&&e(this.index,"index",this),e(this.value,"value",this)},s.prototype.map=function(e){return new s(this._ifNode(e(this.object,"object",this)),this.index?this._ifNode(e(this.index,"index",this)):null,this._ifNode(e(this.value,"value",this)))},s.prototype.clone=function(){return new s(this.object,this.index,this.value)},s.prototype._toString=function(e){var t=this.object.toString(e),r=this.index?this.index.toString(e):"",n=this.value.toString(e);return u(this,e&&e.parenthesis)&&(n="("+n+")"),t+r+" = "+n},s.prototype.toJSON=function(){return{mathjs:"AssignmentNode",object:this.object,index:this.index,value:this.value}},s.fromJSON=function(e){return new s(e.object,e.index,e.value)},s.prototype.toHTML=function(e){var t=this.object.toHTML(e),r=this.index?this.index.toHTML(e):"",n=this.value.toHTML(e);return u(this,e&&e.parenthesis)&&(n='<span class="math-paranthesis math-round-parenthesis">(</span>'+n+'<span class="math-paranthesis math-round-parenthesis">)</span>'),t+r+'<span class="math-operator math-assignment-operator math-variable-assignment-operator math-binary-operator">=</span>'+n},s.prototype._toTex=function(e){var t=this.object.toTex(e),r=this.index?this.index.toTex(e):"",n=this.value.toTex(e);return u(this,e&&e.parenthesis)&&(n="\\left(".concat(n,"\\right)")),t+r+":="+n},s}),{isClass:!0,isNode:!0}),Hs=Qe("BlockNode",["ResultSet","Node"],(function(e){var t=e.ResultSet,r=e.Node;function n(e){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");if(!Array.isArray(e))throw new Error("Array expected");this.blocks=e.map((function(e){var t=e&&e.node,r=!e||void 0===e.visible||e.visible;if(!D(t))throw new TypeError('Property "node" must be a Node');if("boolean"!=typeof r)throw new TypeError('Property "visible" must be a boolean');return{node:t,visible:r}}))}return n.prototype=new r,n.prototype.type="BlockNode",n.prototype.isBlockNode=!0,n.prototype._compile=function(e,r){var n=qe(this.blocks,(function(t){return{evaluate:t.node._compile(e,r),visible:t.visible}}));return function(e,r,i){var a=[];return Be(n,(function(t){var n=t.evaluate(e,r,i);t.visible&&a.push(n)})),new t(a)}},n.prototype.forEach=function(e){for(var t=0;t<this.blocks.length;t++)e(this.blocks[t].node,"blocks["+t+"].node",this)},n.prototype.map=function(e){for(var t=[],r=0;r<this.blocks.length;r++){var i=this.blocks[r],a=this._ifNode(e(i.node,"blocks["+r+"].node",this));t[r]={node:a,visible:i.visible}}return new n(t)},n.prototype.clone=function(){return new n(this.blocks.map((function(e){return{node:e.node,visible:e.visible}})))},n.prototype._toString=function(e){return this.blocks.map((function(t){return t.node.toString(e)+(t.visible?"":";")})).join("\n")},n.prototype.toJSON=function(){return{mathjs:"BlockNode",blocks:this.blocks}},n.fromJSON=function(e){return new n(e.blocks)},n.prototype.toHTML=function(e){return this.blocks.map((function(t){return t.node.toHTML(e)+(t.visible?"":'<span class="math-separator">;</span>')})).join('<span class="math-separator"><br /></span>')},n.prototype._toTex=function(e){return this.blocks.map((function(t){return t.node.toTex(e)+(t.visible?"":";")})).join("\\;\\;\n")},n}),{isClass:!0,isNode:!0}),Gs=Qe("ConditionalNode",["Node"],(function(e){var t=e.Node;function r(e,t,n){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");if(!D(e))throw new TypeError("Parameter condition must be a Node");if(!D(t))throw new TypeError("Parameter trueExpr must be a Node");if(!D(n))throw new TypeError("Parameter falseExpr must be a Node");this.condition=e,this.trueExpr=t,this.falseExpr=n}return r.prototype=new t,r.prototype.type="ConditionalNode",r.prototype.isConditionalNode=!0,r.prototype._compile=function(e,t){var r=this.condition._compile(e,t),n=this.trueExpr._compile(e,t),i=this.falseExpr._compile(e,t);return function(e,t,a){return function(e){if("number"==typeof e||"boolean"==typeof e||"string"==typeof e)return!!e;if(e){if(s(e))return!e.isZero();if(u(e))return!(!e.re&&!e.im);if(f(e))return!!e.value}if(null==e)return!1;throw new TypeError('Unsupported type of condition "'+H(e)+'"')}(r(e,t,a))?n(e,t,a):i(e,t,a)}},r.prototype.forEach=function(e){e(this.condition,"condition",this),e(this.trueExpr,"trueExpr",this),e(this.falseExpr,"falseExpr",this)},r.prototype.map=function(e){return new r(this._ifNode(e(this.condition,"condition",this)),this._ifNode(e(this.trueExpr,"trueExpr",this)),this._ifNode(e(this.falseExpr,"falseExpr",this)))},r.prototype.clone=function(){return new r(this.condition,this.trueExpr,this.falseExpr)},r.prototype._toString=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=Fs(this,t),n=this.condition.toString(e),i=Fs(this.condition,t);("all"===t||"OperatorNode"===this.condition.type||null!==i&&i<=r)&&(n="("+n+")");var a=this.trueExpr.toString(e),o=Fs(this.trueExpr,t);("all"===t||"OperatorNode"===this.trueExpr.type||null!==o&&o<=r)&&(a="("+a+")");var s=this.falseExpr.toString(e),u=Fs(this.falseExpr,t);return("all"===t||"OperatorNode"===this.falseExpr.type||null!==u&&u<=r)&&(s="("+s+")"),n+" ? "+a+" : "+s},r.prototype.toJSON=function(){return{mathjs:"ConditionalNode",condition:this.condition,trueExpr:this.trueExpr,falseExpr:this.falseExpr}},r.fromJSON=function(e){return new r(e.condition,e.trueExpr,e.falseExpr)},r.prototype.toHTML=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=Fs(this,t),n=this.condition.toHTML(e),i=Fs(this.condition,t);("all"===t||"OperatorNode"===this.condition.type||null!==i&&i<=r)&&(n='<span class="math-parenthesis math-round-parenthesis">(</span>'+n+'<span class="math-parenthesis math-round-parenthesis">)</span>');var a=this.trueExpr.toHTML(e),o=Fs(this.trueExpr,t);("all"===t||"OperatorNode"===this.trueExpr.type||null!==o&&o<=r)&&(a='<span class="math-parenthesis math-round-parenthesis">(</span>'+a+'<span class="math-parenthesis math-round-parenthesis">)</span>');var s=this.falseExpr.toHTML(e),u=Fs(this.falseExpr,t);return("all"===t||"OperatorNode"===this.falseExpr.type||null!==u&&u<=r)&&(s='<span class="math-parenthesis math-round-parenthesis">(</span>'+s+'<span class="math-parenthesis math-round-parenthesis">)</span>'),n+'<span class="math-operator math-conditional-operator">?</span>'+a+'<span class="math-operator math-conditional-operator">:</span>'+s},r.prototype._toTex=function(e){return"\\begin{cases} {"+this.trueExpr.toTex(e)+"}, &\\quad{\\text{if }\\;"+this.condition.toTex(e)+"}\\\\{"+this.falseExpr.toTex(e)+"}, &\\quad{\\text{otherwise}}\\end{cases}"},r}),{isClass:!0,isNode:!0}),Vs=r(195),Zs=r.n(Vs),Ws={Alpha:"A",alpha:"\\alpha",Beta:"B",beta:"\\beta",Gamma:"\\Gamma",gamma:"\\gamma",Delta:"\\Delta",delta:"\\delta",Epsilon:"E",epsilon:"\\epsilon",varepsilon:"\\varepsilon",Zeta:"Z",zeta:"\\zeta",Eta:"H",eta:"\\eta",Theta:"\\Theta",theta:"\\theta",vartheta:"\\vartheta",Iota:"I",iota:"\\iota",Kappa:"K",kappa:"\\kappa",varkappa:"\\varkappa",Lambda:"\\Lambda",lambda:"\\lambda",Mu:"M",mu:"\\mu",Nu:"N",nu:"\\nu",Xi:"\\Xi",xi:"\\xi",Omicron:"O",omicron:"o",Pi:"\\Pi",pi:"\\pi",varpi:"\\varpi",Rho:"P",rho:"\\rho",varrho:"\\varrho",Sigma:"\\Sigma",sigma:"\\sigma",varsigma:"\\varsigma",Tau:"T",tau:"\\tau",Upsilon:"\\Upsilon",upsilon:"\\upsilon",Phi:"\\Phi",phi:"\\phi",varphi:"\\varphi",Chi:"X",chi:"\\chi",Psi:"\\Psi",psi:"\\psi",Omega:"\\Omega",omega:"\\omega",true:"\\mathrm{True}",false:"\\mathrm{False}",i:"i",inf:"\\infty",Inf:"\\infty",infinity:"\\infty",Infinity:"\\infty",oo:"\\infty",lim:"\\lim",undefined:"\\mathbf{?}"},Ys={transpose:"^\\top",ctranspose:"^H",factorial:"!",pow:"^",dotPow:".^\\wedge",unaryPlus:"+",unaryMinus:"-",bitNot:"\\~",not:"\\neg",multiply:"\\cdot",divide:"\\frac",dotMultiply:".\\cdot",dotDivide:".:",mod:"\\mod",add:"+",subtract:"-",to:"\\rightarrow",leftShift:"<<",rightArithShift:">>",rightLogShift:">>>",equal:"=",unequal:"\\neq",smaller:"<",larger:">",smallerEq:"\\leq",largerEq:"\\geq",bitAnd:"\\&",bitXor:"\\underline{|}",bitOr:"|",and:"\\wedge",xor:"\\veebar",or:"\\vee"},Js={abs:{1:"\\left|${args[0]}\\right|"},add:{2:"\\left(${args[0]}".concat(Ys.add,"${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(Ys.dotDivide,"${args[1]}\\right)")},dotMultiply:{2:"\\left(${args[0]}".concat(Ys.dotMultiply,"${args[1]}\\right)")},dotPow:{2:"\\left(${args[0]}".concat(Ys.dotPow,"${args[1]}\\right)")},exp:{1:"\\exp\\left(${args[0]}\\right)"},expm1:"\\left(e".concat(Ys.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(${args[0]}".concat(Ys.mod,"${args[1]}\\right)")},multiply:{2:"\\left(${args[0]}".concat(Ys.multiply,"${args[1]}\\right)")},norm:{1:"\\left\\|${args[0]}\\right\\|",2:void 0},nthRoot:{2:"\\sqrt[${args[1]}]{${args[0]}}"},nthRoots:{2:"\\{y : $y^{args[1]} = {${args[0]}}\\}"},pow:{2:"\\left(${args[0]}\\right)".concat(Ys.pow,"{${args[1]}}")},round:{1:"\\left\\lfloor${args[0]}\\right\\rceil",2:void 0},sign:{1:"\\mathrm{${name}}\\left(${args[0]}\\right)"},sqrt:{1:"\\sqrt{${args[0]}}"},square:{1:"\\left(${args[0]}\\right)^2"},subtract:{2:"\\left(${args[0]}".concat(Ys.subtract,"${args[1]}\\right)")},unaryMinus:{1:"".concat(Ys.unaryMinus,"\\left(${args[0]}\\right)")},unaryPlus:{1:"".concat(Ys.unaryPlus,"\\left(${args[0]}\\right)")},bitAnd:{2:"\\left(${args[0]}".concat(Ys.bitAnd,"${args[1]}\\right)")},bitNot:{1:Ys.bitNot+"\\left(${args[0]}\\right)"},bitOr:{2:"\\left(${args[0]}".concat(Ys.bitOr,"${args[1]}\\right)")},bitXor:{2:"\\left(${args[0]}".concat(Ys.bitXor,"${args[1]}\\right)")},leftShift:{2:"\\left(${args[0]}".concat(Ys.leftShift,"${args[1]}\\right)")},rightArithShift:{2:"\\left(${args[0]}".concat(Ys.rightArithShift,"${args[1]}\\right)")},rightLogShift:{2:"\\left(${args[0]}".concat(Ys.rightLogShift,"${args[1]}\\right)")},bellNumbers:{1:"\\mathrm{B}_{${args[0]}}"},catalan:{1:"\\mathrm{C}_{${args[0]}}"},stirlingS2:{2:"\\mathrm{S}\\left(${args}\\right)"},arg:{1:"\\arg\\left(${args[0]}\\right)"},conj:{1:"\\left(${args[0]}\\right)^*"},im:{1:"\\Im\\left\\lbrace${args[0]}\\right\\rbrace"},re:{1:"\\Re\\left\\lbrace${args[0]}\\right\\rbrace"},and:{2:"\\left(${args[0]}".concat(Ys.and,"${args[1]}\\right)")},not:{1:Ys.not+"\\left(${args[0]}\\right)"},or:{2:"\\left(${args[0]}".concat(Ys.or,"${args[1]}\\right)")},xor:{2:"\\left(${args[0]}".concat(Ys.xor,"${args[1]}\\right)")},cross:{2:"\\left(${args[0]}\\right)\\times\\left(${args[1]}\\right)"},ctranspose:{1:"\\left(${args[0]}\\right)".concat(Ys.ctranspose)},det:{1:"\\det\\left(${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(Ys.pow,"{\\frac{1}{2}}")},trace:{1:"\\mathrm{tr}\\left(${args[0]}\\right)"},transpose:{1:"\\left(${args[0]}\\right)".concat(Ys.transpose)},combinations:{2:"\\binom{${args[0]}}{${args[1]}}"},combinationsWithRep:{2:"\\left(\\!\\!{\\binom{${args[0]}}{${args[1]}}}\\!\\!\\right)"},factorial:{1:"\\left(${args[0]}\\right)".concat(Ys.factorial)},gamma:{1:"\\Gamma\\left(${args[0]}\\right)"},lgamma:{1:"\\ln\\Gamma\\left(${args[0]}\\right)"},equal:{2:"\\left(${args[0]}".concat(Ys.equal,"${args[1]}\\right)")},larger:{2:"\\left(${args[0]}".concat(Ys.larger,"${args[1]}\\right)")},largerEq:{2:"\\left(${args[0]}".concat(Ys.largerEq,"${args[1]}\\right)")},smaller:{2:"\\left(${args[0]}".concat(Ys.smaller,"${args[1]}\\right)")},smallerEq:{2:"\\left(${args[0]}".concat(Ys.smallerEq,"${args[1]}\\right)")},unequal:{2:"\\left(${args[0]}".concat(Ys.unequal,"${args[1]}\\right)")},erf:{1:"erf\\left(${args[0]}\\right)"},max:"\\max\\left(${args}\\right)",min:"\\min\\left(${args}\\right)",variance:"\\mathrm{Var}\\left(${args}\\right)",acos:{1:"\\cos^{-1}\\left(${args[0]}\\right)"},acosh:{1:"\\cosh^{-1}\\left(${args[0]}\\right)"},acot:{1:"\\cot^{-1}\\left(${args[0]}\\right)"},acoth:{1:"\\coth^{-1}\\left(${args[0]}\\right)"},acsc:{1:"\\csc^{-1}\\left(${args[0]}\\right)"},acsch:{1:"\\mathrm{csch}^{-1}\\left(${args[0]}\\right)"},asec:{1:"\\sec^{-1}\\left(${args[0]}\\right)"},asech:{1:"\\mathrm{sech}^{-1}\\left(${args[0]}\\right)"},asin:{1:"\\sin^{-1}\\left(${args[0]}\\right)"},asinh:{1:"\\sinh^{-1}\\left(${args[0]}\\right)"},atan:{1:"\\tan^{-1}\\left(${args[0]}\\right)"},atan2:{2:"\\mathrm{atan2}\\left(${args}\\right)"},atanh:{1:"\\tanh^{-1}\\left(${args[0]}\\right)"},cos:{1:"\\cos\\left(${args[0]}\\right)"},cosh:{1:"\\cosh\\left(${args[0]}\\right)"},cot:{1:"\\cot\\left(${args[0]}\\right)"},coth:{1:"\\coth\\left(${args[0]}\\right)"},csc:{1:"\\csc\\left(${args[0]}\\right)"},csch:{1:"\\mathrm{csch}\\left(${args[0]}\\right)"},sec:{1:"\\sec\\left(${args[0]}\\right)"},sech:{1:"\\mathrm{sech}\\left(${args[0]}\\right)"},sin:{1:"\\sin\\left(${args[0]}\\right)"},sinh:{1:"\\sinh\\left(${args[0]}\\right)"},tan:{1:"\\tan\\left(${args[0]}\\right)"},tanh:{1:"\\tanh\\left(${args[0]}\\right)"},to:{2:"\\left(${args[0]}".concat(Ys.to,"${args[1]}\\right)")},numeric:function(e,t){return e.args[0].toTex()},number:{0:"0",1:"\\left(${args[0]}\\right)",2:"\\left(\\left(${args[0]}\\right)${args[1]}\\right)"},string:{0:'\\mathtt{""}',1:"\\mathrm{string}\\left(${args[0]}\\right)"},bignumber:{0:"0",1:"\\left(${args[0]}\\right)"},complex:{0:"0",1:"\\left(${args[0]}\\right)",2:"\\left(\\left(${args[0]}\\right)+".concat(Ws.i,"\\cdot\\left(${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)"}},Xs={deg:"^\\circ"};function Qs(e){return Zs()(e,{preserveFormatting:!0})}function Ks(e,t){return(t=void 0!==t&&t)?Je(Xs,e)?Xs[e]:"\\mathrm{"+Qs(e)+"}":Je(Ws,e)?Ws[e]:Qs(e)}var eu=Qe("ConstantNode",["Node"],(function(e){var t=e.Node;function r(e){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");this.value=e}return r.prototype=new t,r.prototype.type="ConstantNode",r.prototype.isConstantNode=!0,r.prototype._compile=function(e,t){var r=this.value;return function(){return r}},r.prototype.forEach=function(e){},r.prototype.map=function(e){return this.clone()},r.prototype.clone=function(){return new r(this.value)},r.prototype._toString=function(e){return xe(this.value,e)},r.prototype.toHTML=function(e){var t=this._toString(e);switch(H(this.value)){case"number":case"BigNumber":case"Fraction":return'<span class="math-number">'+t+"</span>";case"string":return'<span class="math-string">'+t+"</span>";case"boolean":return'<span class="math-boolean">'+t+"</span>";case"null":return'<span class="math-null-symbol">'+t+"</span>";case"undefined":return'<span class="math-undefined">'+t+"</span>";default:return'<span class="math-symbol">'+t+"</span>"}},r.prototype.toJSON=function(){return{mathjs:"ConstantNode",value:this.value}},r.fromJSON=function(e){return new r(e.value)},r.prototype._toTex=function(e){var t=this._toString(e);switch(H(this.value)){case"string":return"\\mathtt{"+Qs(t)+"}";case"number":case"BigNumber":if(!isFinite(this.value))return this.value.valueOf()<0?"-\\infty":"\\infty";var r=t.toLowerCase().indexOf("e");return-1!==r?t.substring(0,r)+"\\cdot10^{"+t.substring(r+1)+"}":t;case"Fraction":return this.value.toLatex();default:return t}},r}),{isClass:!0,isNode:!0}),tu=Qe("FunctionAssignmentNode",["typed","Node"],(function(e){var t=e.typed,r=e.Node;function n(e,t,r){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('String expected for parameter "name"');if(!Array.isArray(t))throw new TypeError('Array containing strings or objects expected for parameter "params"');if(!D(r))throw new TypeError('Node expected for parameter "expr"');if(zs.has(e))throw new Error('Illegal function name, "'+e+'" is a reserved keyword');this.name=e,this.params=t.map((function(e){return e&&e.name||e})),this.types=t.map((function(e){return e&&e.type||"any"})),this.expr=r}function i(e,t){var r=Fs(e,t),n=Fs(e.expr,t);return"all"===t||null!==n&&n<=r}return n.prototype=new r,n.prototype.type="FunctionAssignmentNode",n.prototype.isFunctionAssignmentNode=!0,n.prototype._compile=function(e,r){var n=Object.create(r);Be(this.params,(function(e){n[e]=!0}));var i=this.expr._compile(e,n),a=this.name,o=this.params,s=Pe(this.types,","),u=a+"("+Pe(this.params,", ")+")";return function(e,r,n){var c={};c[s]=function(){for(var t=Object.create(r),a=0;a<o.length;a++)t[o[a]]=arguments[a];return i(e,t,n)};var f=t(a,c);return f.syntax=u,e.set(a,f),f}},n.prototype.forEach=function(e){e(this.expr,"expr",this)},n.prototype.map=function(e){var t=this._ifNode(e(this.expr,"expr",this));return new n(this.name,this.params.slice(0),t)},n.prototype.clone=function(){return new n(this.name,this.params.slice(0),this.expr)},n.prototype._toString=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.expr.toString(e);return i(this,t)&&(r="("+r+")"),this.name+"("+this.params.join(", ")+") = "+r},n.prototype.toJSON=function(){var e=this.types;return{mathjs:"FunctionAssignmentNode",name:this.name,params:this.params.map((function(t,r){return{name:t,type:e[r]}})),expr:this.expr}},n.fromJSON=function(e){return new n(e.name,e.params,e.expr)},n.prototype.toHTML=function(e){for(var t=e&&e.parenthesis?e.parenthesis:"keep",r=[],n=0;n<this.params.length;n++)r.push('<span class="math-symbol math-parameter">'+we(this.params[n])+"</span>");var a=this.expr.toHTML(e);return i(this,t)&&(a='<span class="math-parenthesis math-round-parenthesis">(</span>'+a+'<span class="math-parenthesis math-round-parenthesis">)</span>'),'<span class="math-function">'+we(this.name)+'</span><span class="math-parenthesis math-round-parenthesis">(</span>'+r.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>'+a},n.prototype._toTex=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.expr.toTex(e);return i(this,t)&&(r="\\left(".concat(r,"\\right)")),"\\mathrm{"+this.name+"}\\left("+this.params.map(Ks).join(",")+"\\right):="+r},n}),{isClass:!0,isNode:!0}),ru=Qe("IndexNode",["Node","size"],(function(e){var t=e.Node,r=e.size;function n(e,t){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");if(this.dimensions=e,this.dotNotation=t||!1,!Array.isArray(e)||!e.every(D))throw new TypeError('Array containing Nodes expected for parameter "dimensions"');if(this.dotNotation&&!this.isObjectProperty())throw new Error("dotNotation only applicable for object properties")}return n.prototype=new t,n.prototype.type="IndexNode",n.prototype.isIndexNode=!0,n.prototype._compile=function(e,t){var n=qe(this.dimensions,(function(n,i){if(n.filter((function(e){return e.isSymbolNode&&"end"===e.name})).length>0){var a=Object.create(t);a.end=!0;var o=n._compile(e,a);return function(e,t,n){if(!m(n)&&!p(n)&&!l(n))throw new TypeError('Cannot resolve "end": context must be a Matrix, Array, or string but is '+H(n));var a=r(n).valueOf(),s=Object.create(t);return s.end=a[i],o(e,s,n)}}return n._compile(e,t)})),i=at(e,"index");return function(e,t,r){var a=qe(n,(function(n){return n(e,t,r)}));return i.apply(void 0,sa()(a))}},n.prototype.forEach=function(e){for(var t=0;t<this.dimensions.length;t++)e(this.dimensions[t],"dimensions["+t+"]",this)},n.prototype.map=function(e){for(var t=[],r=0;r<this.dimensions.length;r++)t[r]=this._ifNode(e(this.dimensions[r],"dimensions["+r+"]",this));return new n(t,this.dotNotation)},n.prototype.clone=function(){return new n(this.dimensions.slice(0),this.dotNotation)},n.prototype.isObjectProperty=function(){return 1===this.dimensions.length&&z(this.dimensions[0])&&"string"==typeof this.dimensions[0].value},n.prototype.getObjectProperty=function(){return this.isObjectProperty()?this.dimensions[0].value:null},n.prototype._toString=function(e){return this.dotNotation?"."+this.getObjectProperty():"["+this.dimensions.join(", ")+"]"},n.prototype.toJSON=function(){return{mathjs:"IndexNode",dimensions:this.dimensions,dotNotation:this.dotNotation}},n.fromJSON=function(e){return new n(e.dimensions,e.dotNotation)},n.prototype.toHTML=function(e){for(var t=[],r=0;r<this.dimensions.length;r++)t[r]=this.dimensions[r].toHTML();return this.dotNotation?'<span class="math-operator math-accessor-operator">.</span><span class="math-symbol math-property">'+we(this.getObjectProperty())+"</span>":'<span class="math-parenthesis math-square-parenthesis">[</span>'+t.join('<span class="math-separator">,</span>')+'<span class="math-parenthesis math-square-parenthesis">]</span>'},n.prototype._toTex=function(e){var t=this.dimensions.map((function(t){return t.toTex(e)}));return this.dotNotation?"."+this.getObjectProperty():"_{"+t.join(",")+"}"},n}),{isClass:!0,isNode:!0}),nu=Qe("ObjectNode",["Node"],(function(e){var t=e.Node;function r(e){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");if(this.properties=e||{},e&&("object"!==a()(e)||!Object.keys(e).every((function(t){return D(e[t])}))))throw new TypeError("Object containing Nodes expected")}return r.prototype=new t,r.prototype.type="ObjectNode",r.prototype.isObjectNode=!0,r.prototype._compile=function(e,t){var r={};for(var n in this.properties)if(Je(this.properties,n)){var i=be(n),a=JSON.parse(i);if(!st(this.properties,a))throw new Error('No access to property "'+a+'"');r[a]=this.properties[n]._compile(e,t)}return function(e,t,n){var i={};for(var a in r)Je(r,a)&&(i[a]=r[a](e,t,n));return i}},r.prototype.forEach=function(e){for(var t in this.properties)Je(this.properties,t)&&e(this.properties[t],"properties["+be(t)+"]",this)},r.prototype.map=function(e){var t={};for(var n in this.properties)Je(this.properties,n)&&(t[n]=this._ifNode(e(this.properties[n],"properties["+be(n)+"]",this)));return new r(t)},r.prototype.clone=function(){var e={};for(var t in this.properties)Je(this.properties,t)&&(e[t]=this.properties[t]);return new r(e)},r.prototype._toString=function(e){var t=[];for(var r in this.properties)Je(this.properties,r)&&t.push(be(r)+": "+this.properties[r].toString(e));return"{"+t.join(", ")+"}"},r.prototype.toJSON=function(){return{mathjs:"ObjectNode",properties:this.properties}},r.fromJSON=function(e){return new r(e.properties)},r.prototype.toHTML=function(e){var t=[];for(var r in this.properties)Je(this.properties,r)&&t.push('<span class="math-symbol math-property">'+we(r)+'</span><span class="math-operator math-assignment-operator math-property-assignment-operator math-binary-operator">:</span>'+this.properties[r].toHTML(e));return'<span class="math-parenthesis math-curly-parenthesis">{</span>'+t.join('<span class="math-separator">,</span>')+'<span class="math-parenthesis math-curly-parenthesis">}</span>'},r.prototype._toTex=function(e){var t=[];for(var r in this.properties)Je(this.properties,r)&&t.push("\\mathbf{"+r+":} & "+this.properties[r].toTex(e)+"\\\\");return"\\left\\{\\begin{array}{ll}".concat(t.join("\n"),"\\end{array}\\right\\}")},r}),{isClass:!0,isNode:!0}),iu=Qe("OperatorNode",["Node"],(function(e){var t=e.Node;function r(e,t,n,i,a){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('string expected for parameter "op"');if("string"!=typeof t)throw new TypeError('string expected for parameter "fn"');if(!Array.isArray(n)||!n.every(D))throw new TypeError('Array containing Nodes expected for parameter "args"');this.implicit=!0===i,this.isPercentage=!0===a,this.op=e,this.fn=t,this.args=n||[]}function n(e,t,r,n,i){var a,o=Fs(e,t),s=Us(e,t);if("all"===t||n.length>2&&"OperatorNode:add"!==e.getIdentifier()&&"OperatorNode:multiply"!==e.getIdentifier())return n.map((function(e){switch(e.getContent().type){case"ArrayNode":case"ConstantNode":case"SymbolNode":case"ParenthesisNode":return!1;default:return!0}}));switch(n.length){case 0:a=[];break;case 1:var u=Fs(n[0],t);if(i&&null!==u){var c,f;if("keep"===t?(c=n[0].getIdentifier(),f=e.getIdentifier()):(c=n[0].getContent().getIdentifier(),f=e.getContent().getIdentifier()),!1===Ps[o][f].latexLeftParens){a=[!1];break}if(!1===Ps[u][c].latexParens){a=[!1];break}}if(null===u){a=[!1];break}if(u<=o){a=[!0];break}a=[!1];break;case 2:var l,p,m=Fs(n[0],t),h=Ls(e,n[0],t);l=null!==m&&(m===o&&"right"===s&&!h||m<o);var d,v,y,g=Fs(n[1],t),x=Ls(e,n[1],t);if(p=null!==g&&(g===o&&"left"===s&&!x||g<o),i)"keep"===t?(d=e.getIdentifier(),v=e.args[0].getIdentifier(),y=e.args[1].getIdentifier()):(d=e.getContent().getIdentifier(),v=e.args[0].getContent().getIdentifier(),y=e.args[1].getContent().getIdentifier()),null!==m&&(!1===Ps[o][d].latexLeftParens&&(l=!1),!1===Ps[m][v].latexParens&&(l=!1)),null!==g&&(!1===Ps[o][d].latexRightParens&&(p=!1),!1===Ps[g][y].latexParens&&(p=!1));a=[l,p];break;default:"OperatorNode:add"!==e.getIdentifier()&&"OperatorNode:multiply"!==e.getIdentifier()||(a=n.map((function(r){var n=Fs(r,t),i=Ls(e,r,t),a=Us(r,t);return null!==n&&(o===n&&s===a&&!i||n<o)})))}return n.length>=2&&"OperatorNode:multiply"===e.getIdentifier()&&e.implicit&&"auto"===t&&"hide"===r&&(a=n.map((function(e,t){var r="ParenthesisNode"===e.getIdentifier();return!(!a[t]&&!r)}))),a}return r.prototype=new t,r.prototype.type="OperatorNode",r.prototype.isOperatorNode=!0,r.prototype._compile=function(e,t){if("string"!=typeof this.fn||!ut(e,this.fn))throw e[this.fn]?new Error('No access to function "'+this.fn+'"'):new Error("Function "+this.fn+' missing in provided namespace "math"');var r=at(e,this.fn),n=qe(this.args,(function(r){return r._compile(e,t)}));if(1===n.length){var i=n[0];return function(e,t,n){return r(i(e,t,n))}}if(2===n.length){var a=n[0],o=n[1];return function(e,t,n){return r(a(e,t,n),o(e,t,n))}}return function(e,t,i){return r.apply(null,qe(n,(function(r){return r(e,t,i)})))}},r.prototype.forEach=function(e){for(var t=0;t<this.args.length;t++)e(this.args[t],"args["+t+"]",this)},r.prototype.map=function(e){for(var t=[],n=0;n<this.args.length;n++)t[n]=this._ifNode(e(this.args[n],"args["+n+"]",this));return new r(this.op,this.fn,t,this.implicit,this.isPercentage)},r.prototype.clone=function(){return new r(this.op,this.fn,this.args.slice(0),this.implicit,this.isPercentage)},r.prototype.isUnary=function(){return 1===this.args.length},r.prototype.isBinary=function(){return 2===this.args.length},r.prototype._toString=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=e&&e.implicit?e.implicit:"hide",i=this.args,a=n(this,t,r,i,!1);if(1===i.length){var o=Us(this,t),s=i[0].toString(e);a[0]&&(s="("+s+")");var u=/[a-zA-Z]+/.test(this.op);return"right"===o?this.op+(u?" ":"")+s:"left"===o?s+(u?" ":"")+this.op:s+this.op}if(2===i.length){var c=i[0].toString(e),f=i[1].toString(e);return a[0]&&(c="("+c+")"),a[1]&&(f="("+f+")"),this.implicit&&"OperatorNode:multiply"===this.getIdentifier()&&"hide"===r?c+" "+f:c+" "+this.op+" "+f}if(i.length>2&&("OperatorNode:add"===this.getIdentifier()||"OperatorNode:multiply"===this.getIdentifier())){var l=i.map((function(t,r){return t=t.toString(e),a[r]&&(t="("+t+")"),t}));return this.implicit&&"OperatorNode:multiply"===this.getIdentifier()&&"hide"===r?l.join(" "):l.join(" "+this.op+" ")}return this.fn+"("+this.args.join(", ")+")"},r.prototype.toJSON=function(){return{mathjs:"OperatorNode",op:this.op,fn:this.fn,args:this.args,implicit:this.implicit,isPercentage:this.isPercentage}},r.fromJSON=function(e){return new r(e.op,e.fn,e.args,e.implicit,e.isPercentage)},r.prototype.toHTML=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=e&&e.implicit?e.implicit:"hide",i=this.args,a=n(this,t,r,i,!1);if(1===i.length){var o=Us(this,t),s=i[0].toHTML(e);return a[0]&&(s='<span class="math-parenthesis math-round-parenthesis">(</span>'+s+'<span class="math-parenthesis math-round-parenthesis">)</span>'),"right"===o?'<span class="math-operator math-unary-operator math-lefthand-unary-operator">'+we(this.op)+"</span>"+s:s+'<span class="math-operator math-unary-operator math-righthand-unary-operator">'+we(this.op)+"</span>"}if(2===i.length){var u=i[0].toHTML(e),c=i[1].toHTML(e);return a[0]&&(u='<span class="math-parenthesis math-round-parenthesis">(</span>'+u+'<span class="math-parenthesis math-round-parenthesis">)</span>'),a[1]&&(c='<span class="math-parenthesis math-round-parenthesis">(</span>'+c+'<span class="math-parenthesis math-round-parenthesis">)</span>'),this.implicit&&"OperatorNode:multiply"===this.getIdentifier()&&"hide"===r?u+'<span class="math-operator math-binary-operator math-implicit-binary-operator"></span>'+c:u+'<span class="math-operator math-binary-operator math-explicit-binary-operator">'+we(this.op)+"</span>"+c}var f=i.map((function(t,r){return t=t.toHTML(e),a[r]&&(t='<span class="math-parenthesis math-round-parenthesis">(</span>'+t+'<span class="math-parenthesis math-round-parenthesis">)</span>'),t}));return i.length>2&&("OperatorNode:add"===this.getIdentifier()||"OperatorNode:multiply"===this.getIdentifier())?this.implicit&&"OperatorNode:multiply"===this.getIdentifier()&&"hide"===r?f.join('<span class="math-operator math-binary-operator math-implicit-binary-operator"></span>'):f.join('<span class="math-operator math-binary-operator math-explicit-binary-operator">'+we(this.op)+"</span>"):'<span class="math-function">'+we(this.fn)+'</span><span class="math-paranthesis math-round-parenthesis">(</span>'+f.join('<span class="math-separator">,</span>')+'<span class="math-paranthesis math-round-parenthesis">)</span>'},r.prototype._toTex=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=e&&e.implicit?e.implicit:"hide",i=this.args,a=n(this,t,r,i,!0),o=Ys[this.fn];if(o=void 0===o?this.op:o,1===i.length){var s=Us(this,t),u=i[0].toTex(e);return a[0]&&(u="\\left(".concat(u,"\\right)")),"right"===s?o+u:u+o}if(2===i.length){var c=i[0],f=c.toTex(e);a[0]&&(f="\\left(".concat(f,"\\right)"));var l,p=i[1].toTex(e);switch(a[1]&&(p="\\left(".concat(p,"\\right)")),l="keep"===t?c.getIdentifier():c.getContent().getIdentifier(),this.getIdentifier()){case"OperatorNode:divide":return o+"{"+f+"}{"+p+"}";case"OperatorNode:pow":switch(f="{"+f+"}",p="{"+p+"}",l){case"ConditionalNode":case"OperatorNode:divide":f="\\left(".concat(f,"\\right)")}break;case"OperatorNode:multiply":if(this.implicit&&"hide"===r)return f+"~"+p}return f+o+p}if(i.length>2&&("OperatorNode:add"===this.getIdentifier()||"OperatorNode:multiply"===this.getIdentifier())){var m=i.map((function(t,r){return t=t.toTex(e),a[r]&&(t="\\left(".concat(t,"\\right)")),t}));return"OperatorNode:multiply"===this.getIdentifier()&&this.implicit?m.join("~"):m.join(o)}return"\\mathrm{"+this.fn+"}\\left("+i.map((function(t){return t.toTex(e)})).join(",")+"\\right)"},r.prototype.getIdentifier=function(){return this.type+":"+this.fn},r}),{isClass:!0,isNode:!0}),au=Qe("ParenthesisNode",["Node"],(function(e){var t=e.Node;function r(e){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");if(!D(e))throw new TypeError('Node expected for parameter "content"');this.content=e}return r.prototype=new t,r.prototype.type="ParenthesisNode",r.prototype.isParenthesisNode=!0,r.prototype._compile=function(e,t){return this.content._compile(e,t)},r.prototype.getContent=function(){return this.content.getContent()},r.prototype.forEach=function(e){e(this.content,"content",this)},r.prototype.map=function(e){return new r(e(this.content,"content",this))},r.prototype.clone=function(){return new r(this.content)},r.prototype._toString=function(e){return!e||e&&!e.parenthesis||e&&"keep"===e.parenthesis?"("+this.content.toString(e)+")":this.content.toString(e)},r.prototype.toJSON=function(){return{mathjs:"ParenthesisNode",content:this.content}},r.fromJSON=function(e){return new r(e.content)},r.prototype.toHTML=function(e){return!e||e&&!e.parenthesis||e&&"keep"===e.parenthesis?'<span class="math-parenthesis math-round-parenthesis">(</span>'+this.content.toHTML(e)+'<span class="math-parenthesis math-round-parenthesis">)</span>':this.content.toHTML(e)},r.prototype._toTex=function(e){return!e||e&&!e.parenthesis||e&&"keep"===e.parenthesis?"\\left(".concat(this.content.toTex(e),"\\right)"):this.content.toTex(e)},r}),{isClass:!0,isNode:!0}),ou=Qe("RangeNode",["Node"],(function(e){var t=e.Node;function r(e,t,n){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");if(!D(e))throw new TypeError("Node expected");if(!D(t))throw new TypeError("Node expected");if(n&&!D(n))throw new TypeError("Node expected");if(arguments.length>3)throw new Error("Too many arguments");this.start=e,this.end=t,this.step=n||null}function n(e,t){var r=Fs(e,t),n={},i=Fs(e.start,t);if(n.start=null!==i&&i<=r||"all"===t,e.step){var a=Fs(e.step,t);n.step=null!==a&&a<=r||"all"===t}var o=Fs(e.end,t);return n.end=null!==o&&o<=r||"all"===t,n}return r.prototype=new t,r.prototype.type="RangeNode",r.prototype.isRangeNode=!0,r.prototype.needsEnd=function(){return this.filter((function(e){return L(e)&&"end"===e.name})).length>0},r.prototype._compile=function(e,t){var r=e.range,n=this.start._compile(e,t),i=this.end._compile(e,t);if(this.step){var a=this.step._compile(e,t);return function(e,t,o){return r(n(e,t,o),i(e,t,o),a(e,t,o))}}return function(e,t,a){return r(n(e,t,a),i(e,t,a))}},r.prototype.forEach=function(e){e(this.start,"start",this),e(this.end,"end",this),this.step&&e(this.step,"step",this)},r.prototype.map=function(e){return new r(this._ifNode(e(this.start,"start",this)),this._ifNode(e(this.end,"end",this)),this.step&&this._ifNode(e(this.step,"step",this)))},r.prototype.clone=function(){return new r(this.start,this.end,this.step&&this.step)},r.prototype._toString=function(e){var t,r=n(this,e&&e.parenthesis?e.parenthesis:"keep"),i=this.start.toString(e);if(r.start&&(i="("+i+")"),t=i,this.step){var a=this.step.toString(e);r.step&&(a="("+a+")"),t+=":"+a}var o=this.end.toString(e);return r.end&&(o="("+o+")"),t+=":"+o},r.prototype.toJSON=function(){return{mathjs:"RangeNode",start:this.start,end:this.end,step:this.step}},r.fromJSON=function(e){return new r(e.start,e.end,e.step)},r.prototype.toHTML=function(e){var t,r=n(this,e&&e.parenthesis?e.parenthesis:"keep"),i=this.start.toHTML(e);if(r.start&&(i='<span class="math-parenthesis math-round-parenthesis">(</span>'+i+'<span class="math-parenthesis math-round-parenthesis">)</span>'),t=i,this.step){var a=this.step.toHTML(e);r.step&&(a='<span class="math-parenthesis math-round-parenthesis">(</span>'+a+'<span class="math-parenthesis math-round-parenthesis">)</span>'),t+='<span class="math-operator math-range-operator">:</span>'+a}var o=this.end.toHTML(e);return r.end&&(o='<span class="math-parenthesis math-round-parenthesis">(</span>'+o+'<span class="math-parenthesis math-round-parenthesis">)</span>'),t+='<span class="math-operator math-range-operator">:</span>'+o},r.prototype._toTex=function(e){var t=n(this,e&&e.parenthesis?e.parenthesis:"keep"),r=this.start.toTex(e);if(t.start&&(r="\\left(".concat(r,"\\right)")),this.step){var i=this.step.toTex(e);t.step&&(i="\\left(".concat(i,"\\right)")),r+=":"+i}var a=this.end.toTex(e);return t.end&&(a="\\left(".concat(a,"\\right)")),r+=":"+a},r}),{isClass:!0,isNode:!0}),su=Qe("RelationalNode",["Node"],(function(e){var t=e.Node;function r(e,t){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");if(!Array.isArray(e))throw new TypeError("Parameter conditionals must be an array");if(!Array.isArray(t))throw new TypeError("Parameter params must be an array");if(e.length!==t.length-1)throw new TypeError("Parameter params must contain exactly one more element than parameter conditionals");this.conditionals=e,this.params=t}return r.prototype=new t,r.prototype.type="RelationalNode",r.prototype.isRelationalNode=!0,r.prototype._compile=function(e,t){var r=this,n=this.params.map((function(r){return r._compile(e,t)}));return function(t,i,a){for(var o,s=n[0](t,i,a),u=0;u<r.conditionals.length;u++){if(o=s,s=n[u+1](t,i,a),!at(e,r.conditionals[u])(o,s))return!1}return!0}},r.prototype.forEach=function(e){var t=this;this.params.forEach((function(r,n){return e(r,"params["+n+"]",t)}),this)},r.prototype.map=function(e){var t=this;return new r(this.conditionals.slice(),this.params.map((function(r,n){return t._ifNode(e(r,"params["+n+"]",t))}),this))},r.prototype.clone=function(){return new r(this.conditionals,this.params)},r.prototype._toString=function(e){for(var t=e&&e.parenthesis?e.parenthesis:"keep",r=Fs(this,t),n=this.params.map((function(n,i){var a=Fs(n,t);return"all"===t||null!==a&&a<=r?"("+n.toString(e)+")":n.toString(e)})),i={equal:"==",unequal:"!=",smaller:"<",larger:">",smallerEq:"<=",largerEq:">="},a=n[0],o=0;o<this.conditionals.length;o++)a+=" "+i[this.conditionals[o]]+" "+n[o+1];return a},r.prototype.toJSON=function(){return{mathjs:"RelationalNode",conditionals:this.conditionals,params:this.params}},r.fromJSON=function(e){return new r(e.conditionals,e.params)},r.prototype.toHTML=function(e){for(var t=e&&e.parenthesis?e.parenthesis:"keep",r=Fs(this,t),n=this.params.map((function(n,i){var a=Fs(n,t);return"all"===t||null!==a&&a<=r?'<span class="math-parenthesis math-round-parenthesis">(</span>'+n.toHTML(e)+'<span class="math-parenthesis math-round-parenthesis">)</span>':n.toHTML(e)})),i={equal:"==",unequal:"!=",smaller:"<",larger:">",smallerEq:"<=",largerEq:">="},a=n[0],o=0;o<this.conditionals.length;o++)a+='<span class="math-operator math-binary-operator math-explicit-binary-operator">'+we(i[this.conditionals[o]])+"</span>"+n[o+1];return a},r.prototype._toTex=function(e){for(var t=e&&e.parenthesis?e.parenthesis:"keep",r=Fs(this,t),n=this.params.map((function(n,i){var a=Fs(n,t);return"all"===t||null!==a&&a<=r?"\\left("+n.toTex(e)+"\right)":n.toTex(e)})),i=n[0],a=0;a<this.conditionals.length;a++)i+=Ys[this.conditionals[a]]+n[a+1];return i},r}),{isClass:!0,isNode:!0}),uu=Qe("SymbolNode",["math","?Unit","Node"],(function(e){var t=e.math,r=e.Unit,n=e.Node;function i(e){return!!r&&r.isValuelessUnit(e)}function a(e){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof e)throw new TypeError('String expected for parameter "name"');this.name=e}return a.prototype=new n,a.prototype.type="SymbolNode",a.prototype.isSymbolNode=!0,a.prototype._compile=function(e,t){var n=this.name;if(!0===t[n])return function(e,t,r){return t[n]};if(n in e)return function(t,r,i){return t.has(n)?t.get(n):at(e,n)};var o=i(n);return function(e,t,i){return e.has(n)?e.get(n):o?new r(null,n):a.onUndefinedSymbol(n)}},a.prototype.forEach=function(e){},a.prototype.map=function(e){return this.clone()},a.onUndefinedSymbol=function(e){throw new Error("Undefined symbol "+e)},a.prototype.clone=function(){return new a(this.name)},a.prototype._toString=function(e){return this.name},a.prototype.toHTML=function(e){var t=we(this.name);return"true"===t||"false"===t?'<span class="math-symbol math-boolean">'+t+"</span>":"i"===t?'<span class="math-symbol math-imaginary-symbol">'+t+"</span>":"Infinity"===t?'<span class="math-symbol math-infinity-symbol">'+t+"</span>":"NaN"===t?'<span class="math-symbol math-nan-symbol">'+t+"</span>":"null"===t?'<span class="math-symbol math-null-symbol">'+t+"</span>":"undefined"===t?'<span class="math-symbol math-undefined-symbol">'+t+"</span>":'<span class="math-symbol">'+t+"</span>"},a.prototype.toJSON=function(){return{mathjs:"SymbolNode",name:this.name}},a.fromJSON=function(e){return new a(e.name)},a.prototype._toTex=function(e){var r=!1;void 0===t[this.name]&&i(this.name)&&(r=!0);var n=Ks(this.name,r);return"\\"===n[0]?n:" "+n},a}),{isClass:!0,isNode:!0});function cu(e){for(var t=arguments.length,r=new Array(t>1?t-1:0),n=1;n<t;n++)r[n-1]=arguments[n];return"function"==typeof e.createSubScope?gt.apply(void 0,[e.createSubScope()].concat(r)):gt.apply(void 0,[dt(),e].concat(r))}var fu=Qe("FunctionNode",["math","Node","SymbolNode"],(function(e){var t=e.math,r=e.Node,n=e.SymbolNode;function i(e,t){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");if("string"==typeof e&&(e=new n(e)),!D(e))throw new TypeError('Node expected as parameter "fn"');if(!Array.isArray(t)||!t.every(D))throw new TypeError('Array containing Nodes expected for parameter "args"');this.fn=e,this.args=t||[],Object.defineProperty(this,"name",{get:function(){return this.fn.name||""}.bind(this),set:function(){throw new Error("Cannot assign a new name, name is read-only")}})}i.prototype=new r,i.prototype.type="FunctionNode",i.prototype.isFunctionNode=!0;var o=function(e){return xe(e,{truncate:78})};i.prototype._compile=function(e,t){if(!(this instanceof i))throw new TypeError("No valid FunctionNode");var r=this.args.map((function(r){return r._compile(e,t)}));if(!L(this.fn)){if(C(this.fn)&&B(this.fn.index)&&this.fn.index.isObjectProperty()){var n=this.fn.object._compile(e,t),a=this.fn.index.getObjectProperty(),s=this.args;return function(t,i,o){var u=n(t,i,o);if(function(e,t){if(!ut(e,t))throw new Error('No access to method "'+t+'"')}(u,a),u[a]&&u[a].rawArgs)return u[a](s,e,cu(t,i),t);var c=r.map((function(e){return e(t,i,o)}));return u[a].apply(u,c)}}var u=this.fn.toString(),c=this.fn._compile(e,t),f=this.args;return function(t,n,i){var a=c(t,n,i);if("function"!=typeof a)throw new TypeError("Expression '".concat(u,"' did not evaluate to a function; value is:")+"\n ".concat(o(a)));if(a.rawArgs)return a(f,e,cu(t,n),t);var s=r.map((function(e){return e(t,n,i)}));return a.apply(a,s)}}var l=this.fn.name;if(t[l]){var p=this.args;return function(t,n,i){var a=n[l];if("function"!=typeof a)throw new TypeError("Argument '".concat(l,"' was not a function; received: ").concat(o(a)));if(a.rawArgs)return a(p,e,cu(t,n),t);var s=r.map((function(e){return e(t,n,i)}));return a.apply(a,s)}}var m=l in e?at(e,l):void 0,h="function"==typeof m&&!0===m.rawArgs,d=function(t){var r;if(t.has(l))r=t.get(l);else{if(!(l in e))return i.onUndefinedFunction(l);r=at(e,l)}if("function"==typeof r)return r;throw new TypeError("'".concat(l,"' is not a function; its value is:\n ").concat(o(r)))};if(h){var v=this.args;return function(t,r,n){return d(t)(v,e,cu(t,r),t)}}switch(r.length){case 0:return function(e,t,r){return d(e)()};case 1:return function(e,t,n){return d(e)((0,r[0])(e,t,n))};case 2:return function(e,t,n){var i=d(e),a=r[0],o=r[1];return i(a(e,t,n),o(e,t,n))};default:return function(e,t,n){var i=d(e),a=r.map((function(r){return r(e,t,n)}));return i.apply(void 0,sa()(a))}}},i.prototype.forEach=function(e){e(this.fn,"fn",this);for(var t=0;t<this.args.length;t++)e(this.args[t],"args["+t+"]",this)},i.prototype.map=function(e){for(var t=this._ifNode(e(this.fn,"fn",this)),r=[],n=0;n<this.args.length;n++)r[n]=this._ifNode(e(this.args[n],"args["+n+"]",this));return new i(t,r)},i.prototype.clone=function(){return new i(this.fn,this.args.slice(0))},i.onUndefinedFunction=function(e){throw new Error("Undefined function "+e)};var s=i.prototype.toString;function u(e,t,r){for(var n,i="",o=/\$(?:\{([a-z_][a-z_0-9]*)(?:\[([0-9]+)\])?\}|\$)/gi,s=0;null!==(n=o.exec(e));)if(i+=e.substring(s,n.index),s=n.index,"$$"===n[0])i+="$",s++;else{s+=n[0].length;var u=t[n[1]];if(!u)throw new ReferenceError("Template: Property "+n[1]+" does not exist.");if(void 0===n[2])switch(a()(u)){case"string":i+=u;break;case"object":if(D(u))i+=u.toTex(r);else{if(!Array.isArray(u))throw new TypeError("Template: "+n[1]+" has to be a Node, String or array of Nodes");i+=u.map((function(e,t){if(D(e))return e.toTex(r);throw new TypeError("Template: "+n[1]+"["+t+"] is not a Node.")})).join(",")}break;default:throw new TypeError("Template: "+n[1]+" has to be a Node, String or array of Nodes")}else{if(!D(u[n[2]]&&u[n[2]]))throw new TypeError("Template: "+n[1]+"["+n[2]+"] is not a Node.");i+=u[n[2]].toTex(r)}}return i+=e.slice(s)}i.prototype.toString=function(e){var t,r=this.fn.toString(e);return e&&"object"===a()(e.handler)&&Je(e.handler,r)&&(t=e.handler[r](this,e)),void 0!==t?t:s.call(this,e)},i.prototype._toString=function(e){var t=this.args.map((function(t){return t.toString(e)}));return(R(this.fn)?"("+this.fn.toString(e)+")":this.fn.toString(e))+"("+t.join(", ")+")"},i.prototype.toJSON=function(){return{mathjs:"FunctionNode",fn:this.fn,args:this.args}},i.fromJSON=function(e){return new i(e.fn,e.args)},i.prototype.toHTML=function(e){var t=this.args.map((function(t){return t.toHTML(e)}));return'<span class="math-function">'+we(this.fn)+'</span><span class="math-paranthesis math-round-parenthesis">(</span>'+t.join('<span class="math-separator">,</span>')+'<span class="math-paranthesis math-round-parenthesis">)</span>'};var c=i.prototype.toTex;return i.prototype.toTex=function(e){var t;return e&&"object"===a()(e.handler)&&Je(e.handler,this.name)&&(t=e.handler[this.name](this,e)),void 0!==t?t:c.call(this,e)},i.prototype._toTex=function(e){var r,n,i=this.args.map((function(t){return t.toTex(e)}));switch(Js[this.name]&&(r=Js[this.name]),!t[this.name]||"function"!=typeof t[this.name].toTex&&"object"!==a()(t[this.name].toTex)&&"string"!=typeof t[this.name].toTex||(r=t[this.name].toTex),a()(r)){case"function":n=r(this,e);break;case"string":n=u(r,this,e);break;case"object":switch(a()(r[i.length])){case"function":n=r[i.length](this,e);break;case"string":n=u(r[i.length],this,e)}}return void 0!==n?n:u("\\mathrm{${name}}\\left(${args}\\right)",this,e)},i.prototype.getIdentifier=function(){return this.type+":"+this.name},i}),{isClass:!0,isNode:!0}),lu=Qe("parse",["typed","numeric","config","AccessorNode","ArrayNode","AssignmentNode","BlockNode","ConditionalNode","ConstantNode","FunctionAssignmentNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","ParenthesisNode","RangeNode","RelationalNode","SymbolNode"],(function(e){var t=e.typed,r=e.numeric,n=e.config,i=e.AccessorNode,a=e.ArrayNode,o=e.AssignmentNode,s=e.BlockNode,u=e.ConditionalNode,c=e.ConstantNode,f=e.FunctionAssignmentNode,l=e.FunctionNode,p=e.IndexNode,m=e.ObjectNode,h=e.OperatorNode,d=e.ParenthesisNode,v=e.RangeNode,y=e.RelationalNode,g=e.SymbolNode,x=t("parse",{string:function(e){return H(e,{})},"Array | Matrix":function(e){return b(e,{})},"string, Object":function(e,t){return H(e,void 0!==t.nodes?t.nodes:{})},"Array | Matrix, Object":b});function b(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{},r=void 0!==t.nodes?t.nodes:{};return Gt(e,(function(e){if("string"!=typeof e)throw new TypeError("String expected");return H(e,r)}))}var w=0,N=1,M=2,E=3,S=4,A={",":!0,"(":!0,")":!0,"[":!0,"]":!0,"{":!0,"}":!0,'"':!0,"'":!0,";":!0,"+":!0,"-":!0,"*":!0,".*":!0,"/":!0,"./":!0,"%":!0,"^":!0,".^":!0,"~":!0,"!":!0,"&":!0,"|":!0,"^|":!0,"=":!0,":":!0,"?":!0,"==":!0,"!=":!0,"<":!0,">":!0,"<=":!0,">=":!0,"<<":!0,">>":!0,">>>":!0},O={mod:!0,to:!0,in:!0,and:!0,xor:!0,or:!0,not:!0},T={true:!0,false:!1,null:null,undefined:void 0},_=["NaN","Infinity"];function I(e,t){return e.expression.substr(e.index,t)}function k(e){return I(e,1)}function R(e){e.index++}function B(e){return e.expression.charAt(e.index-1)}function D(e){return e.expression.charAt(e.index+1)}function j(e){for(e.tokenType=w,e.token="",e.comment="";;){if("#"===k(e))for(;"\n"!==k(e)&&""!==k(e);)e.comment+=k(e),R(e);if(!x.isWhitespace(k(e),e.nestingLevel))break;R(e)}if(""!==k(e)){if("\n"===k(e)&&!e.nestingLevel)return e.tokenType=N,e.token=k(e),void R(e);var t=k(e),r=I(e,2),n=I(e,3);if(3===n.length&&A[n])return e.tokenType=N,e.token=n,R(e),R(e),void R(e);if(2===r.length&&A[r])return e.tokenType=N,e.token=r,R(e),void R(e);if(A[t])return e.tokenType=N,e.token=t,void R(e);if(x.isDigitDot(t)){e.tokenType=M;var i=I(e,2);if("0b"===i||"0o"===i||"0x"===i){for(e.token+=k(e),R(e),e.token+=k(e),R(e);x.isHexDigit(k(e));)e.token+=k(e),R(e);if("."===k(e))for(e.token+=".",R(e);x.isHexDigit(k(e));)e.token+=k(e),R(e);else if("i"===k(e))for(e.token+="i",R(e);x.isDigit(k(e));)e.token+=k(e),R(e);return}if("."===k(e)){if(e.token+=k(e),R(e),!x.isDigit(k(e)))return void(e.tokenType=N)}else{for(;x.isDigit(k(e));)e.token+=k(e),R(e);x.isDecimalMark(k(e),D(e))&&(e.token+=k(e),R(e))}for(;x.isDigit(k(e));)e.token+=k(e),R(e);if("E"===k(e)||"e"===k(e))if(x.isDigit(D(e))||"-"===D(e)||"+"===D(e)){if(e.token+=k(e),R(e),"+"!==k(e)&&"-"!==k(e)||(e.token+=k(e),R(e)),!x.isDigit(k(e)))throw pe(e,'Digit expected, got "'+k(e)+'"');for(;x.isDigit(k(e));)e.token+=k(e),R(e);if(x.isDecimalMark(k(e),D(e)))throw pe(e,'Digit expected, got "'+k(e)+'"')}else if("."===D(e))throw R(e),pe(e,'Digit expected, got "'+k(e)+'"')}else{if(!x.isAlpha(k(e),B(e),D(e))){for(e.tokenType=S;""!==k(e);)e.token+=k(e),R(e);throw pe(e,'Syntax error in part "'+e.token+'"')}for(;x.isAlpha(k(e),B(e),D(e))||x.isDigit(k(e));)e.token+=k(e),R(e);Je(O,e.token)?e.tokenType=N:e.tokenType=E}}else e.tokenType=N}function F(e){do{j(e)}while("\n"===e.token)}function U(e){e.nestingLevel++}function $(e){e.nestingLevel--}function H(e,t){var r={extraNodes:{},expression:"",comment:"",index:0,token:"",tokenType:w,nestingLevel:0,conditionalLevel:null};vo()(r,{expression:e,extraNodes:t}),j(r);var n=function(e){var t,r,n=[];""!==e.token&&"\n"!==e.token&&";"!==e.token&&((t=G(e)).comment=e.comment);for(;"\n"===e.token||";"===e.token;)0===n.length&&t&&(r=";"!==e.token,n.push({node:t,visible:r})),j(e),"\n"!==e.token&&";"!==e.token&&""!==e.token&&((t=G(e)).comment=e.comment,r=";"!==e.token,n.push({node:t,visible:r}));return n.length>0?new s(n):(t||((t=new c(void 0)).comment=e.comment),t)}(r);if(""!==r.token)throw r.tokenType===N?me(r,"Unexpected operator "+r.token):pe(r,'Unexpected part "'+r.token+'"');return n}function G(e){var t,r,n,i,a=function(e){var t=function(e){var t=V(e);for(;"or"===e.token;)F(e),t=new h("or","or",[t,V(e)]);return t}(e);for(;"?"===e.token;){var r=e.conditionalLevel;e.conditionalLevel=e.nestingLevel,F(e);var n=t,i=G(e);if(":"!==e.token)throw pe(e,"False part of conditional expression expected");e.conditionalLevel=null,F(e);var a=G(e);t=new u(n,i,a),e.conditionalLevel=r}return t}(e);if("="===e.token){if(L(a))return t=a.name,F(e),n=G(e),new o(new g(t),n);if(C(a))return F(e),n=G(e),new o(a.object,a.index,n);if(q(a)&&L(a.fn)&&(i=!0,r=[],t=a.name,a.args.forEach((function(e,t){L(e)?r[t]=e.name:i=!1})),i))return F(e),n=G(e),new f(t,r,n);throw pe(e,"Invalid left hand side of assignment operator =")}return a}function V(e){for(var t=Z(e);"xor"===e.token;)F(e),t=new h("xor","xor",[t,Z(e)]);return t}function Z(e){for(var t=W(e);"and"===e.token;)F(e),t=new h("and","and",[t,W(e)]);return t}function W(e){for(var t=Y(e);"|"===e.token;)F(e),t=new h("|","bitOr",[t,Y(e)]);return t}function Y(e){for(var t=J(e);"^|"===e.token;)F(e),t=new h("^|","bitXor",[t,J(e)]);return t}function J(e){for(var t=X(e);"&"===e.token;)F(e),t=new h("&","bitAnd",[t,X(e)]);return t}function X(e){for(var t=[Q(e)],r=[],n={"==":"equal","!=":"unequal","<":"smaller",">":"larger","<=":"smallerEq",">=":"largerEq"};Je(n,e.token);){var i={name:e.token,fn:n[e.token]};r.push(i),F(e),t.push(Q(e))}return 1===t.length?t[0]:2===t.length?new h(r[0].name,r[0].fn,t):new y(r.map((function(e){return e.fn})),t)}function Q(e){var t,r,n,i;t=K(e);for(var a={"<<":"leftShift",">>":"rightArithShift",">>>":"rightLogShift"};Je(a,e.token);)n=a[r=e.token],F(e),i=[t,K(e)],t=new h(r,n,i);return t}function K(e){var t,r,n,i;t=ee(e);for(var a={to:"to",in:"to"};Je(a,e.token);)n=a[r=e.token],F(e),"in"===r&&""===e.token?t=new h("*","multiply",[t,new g("in")],!0):(i=[t,ee(e)],t=new h(r,n,i));return t}function ee(e){var t,r=[];if(t=":"===e.token?new c(1):te(e),":"===e.token&&e.conditionalLevel!==e.nestingLevel){for(r.push(t);":"===e.token&&r.length<3;)F(e),")"===e.token||"]"===e.token||","===e.token||""===e.token?r.push(new g("end")):r.push(te(e));t=3===r.length?new v(r[0],r[2],r[1]):new v(r[0],r[1])}return t}function te(e){var t,r,n,i;t=re(e);for(var a={"+":"add","-":"subtract"};Je(a,e.token);){n=a[r=e.token],F(e);var o=re(e);i=o.isPercentage?[t,new h("*","multiply",[t,o])]:[t,o],t=new h(r,n,i)}return t}function re(e){var t,r,n,i;r=t=ne(e);for(var a={"*":"multiply",".*":"dotMultiply","/":"divide","./":"dotDivide"};Je(a,e.token);)i=a[n=e.token],F(e),r=ne(e),t=new h(n,i,[t,r]);return t}function ne(e){var t,r;for(r=t=ie(e);e.tokenType===E||"in"===e.token&&z(t)||!(e.tokenType!==M||z(r)||P(r)&&"!"!==r.op)||"("===e.token;)r=ie(e),t=new h("*","multiply",[t,r],!0);return t}function ie(e){for(var t=ae(e),r=t,n=[];"/"===e.token&&z(r);){if(n.push(vo()({},e)),F(e),e.tokenType!==M){vo()(e,n.pop());break}if(n.push(vo()({},e)),F(e),e.tokenType!==E&&"("!==e.token){n.pop(),vo()(e,n.pop());break}vo()(e,n.pop()),n.pop(),r=ae(e),t=new h("/","divide",[t,r])}return t}function ae(e){var t,r,n,i;t=oe(e);for(var a={"%":"mod",mod:"mod"};Je(a,e.token);)n=a[r=e.token],F(e),"%"===r&&e.tokenType===N&&"("!==e.token?t=new h("/","divide",[t,new c(100)],!1,!0):(i=[t,oe(e)],t=new h(r,n,i));return t}function oe(e){var t,i,o,s={"-":"unaryMinus","+":"unaryPlus","~":"bitNot",not:"not"};return Je(s,e.token)?(o=s[e.token],t=e.token,F(e),i=[oe(e)],new h(t,o,i)):function(e){var t,i,o,s;t=function(e){var t,i,o;t=function(e){var t=[];if(e.tokenType===E&&Je(e.extraNodes,e.token)){var i=e.extraNodes[e.token];if(j(e),"("===e.token){if(t=[],U(e),j(e),")"!==e.token)for(t.push(G(e));","===e.token;)j(e),t.push(G(e));if(")"!==e.token)throw pe(e,"Parenthesis ) expected");$(e),j(e)}return new i(t)}return function(e){var t,i;if(e.tokenType===E||e.tokenType===N&&e.token in O)return i=e.token,j(e),t=Je(T,i)?new c(T[i]):-1!==_.indexOf(i)?new c(r(i,"number")):new g(i),t=se(e,t);return function(e){var t,i;if('"'===e.token)return i=ue(e),t=new c(i),t=se(e,t);return function(e){var t,i;if("'"===e.token)return i=ce(e),t=new c(i),t=se(e,t);return function(e){var t,i,o,s;if("["===e.token){if(U(e),j(e),"]"!==e.token){var u=fe(e);if(";"===e.token){for(o=1,i=[u];";"===e.token;)j(e),i[o]=fe(e),o++;if("]"!==e.token)throw pe(e,"End of matrix ] expected");$(e),j(e),s=i[0].items.length;for(var f=1;f<o;f++)if(i[f].items.length!==s)throw me(e,"Column dimensions mismatch ("+i[f].items.length+" !== "+s+")");t=new a(i)}else{if("]"!==e.token)throw pe(e,"End of matrix ] expected");$(e),j(e),t=u}}else $(e),j(e),t=new a([]);return se(e,t)}return function(e){if("{"===e.token){var t;U(e);var i={};do{if(j(e),"}"!==e.token){if('"'===e.token)t=ue(e);else if("'"===e.token)t=ce(e);else{if(!(e.tokenType===E||e.tokenType===N&&e.token in O))throw pe(e,"Symbol or string expected as object key");t=e.token,j(e)}if(":"!==e.token)throw pe(e,"Colon : expected after object key");j(e),i[t]=G(e)}}while(","===e.token);if("}"!==e.token)throw pe(e,"Comma , or bracket } expected after object value");$(e),j(e);var a=new m(i);return a=se(e,a)}return function(e){var t;if(e.tokenType===M)return t=e.token,j(e),new c(r(t,n.number));return function(e){var t;if("("===e.token){if(U(e),j(e),t=G(e),")"!==e.token)throw pe(e,"Parenthesis ) expected");return $(e),j(e),t=new d(t),t=se(e,t)}return function(e){throw""===e.token?pe(e,"Unexpected end of expression"):pe(e,"Value expected")}(e)}(e)}(e)}(e)}(e)}(e)}(e)}(e)}(e);var s={"!":"factorial","'":"ctranspose"};for(;Je(s,e.token);)i=e.token,o=s[i],j(e),t=new h(i,o,[t]),t=se(e,t);return t}(e),("^"===e.token||".^"===e.token)&&(i=e.token,o="^"===i?"pow":"dotPow",F(e),s=[t,oe(e)],t=new h(i,o,s));return t}(e)}function se(e,t,r){for(var n;!("("!==e.token&&"["!==e.token&&"."!==e.token||r&&-1===r.indexOf(e.token));)if(n=[],"("===e.token){if(!L(t)&&!C(t))return t;if(U(e),j(e),")"!==e.token)for(n.push(G(e));","===e.token;)j(e),n.push(G(e));if(")"!==e.token)throw pe(e,"Parenthesis ) expected");$(e),j(e),t=new l(t,n)}else if("["===e.token){if(U(e),j(e),"]"!==e.token)for(n.push(G(e));","===e.token;)j(e),n.push(G(e));if("]"!==e.token)throw pe(e,"Parenthesis ] expected");$(e),j(e),t=new i(t,new p(n))}else{if(j(e),e.tokenType!==E)throw pe(e,"Property name expected after dot");n.push(new c(e.token)),j(e);t=new i(t,new p(n,!0))}return t}function ue(e){for(var t="";""!==k(e)&&'"'!==k(e);)"\\"===k(e)&&(t+=k(e),R(e)),t+=k(e),R(e);if(j(e),'"'!==e.token)throw pe(e,'End of string " expected');return j(e),JSON.parse('"'+t+'"')}function ce(e){for(var t="";""!==k(e)&&"'"!==k(e);)"\\"===k(e)&&(t+=k(e),R(e)),t+=k(e),R(e);if(j(e),"'"!==e.token)throw pe(e,"End of string ' expected");return j(e),JSON.parse('"'+t+'"')}function fe(e){for(var t=[G(e)],r=1;","===e.token;)j(e),t[r]=G(e),r++;return new a(t)}function le(e){return e.index-e.token.length+1}function pe(e,t){var r=le(e),n=new SyntaxError(t+" (char "+r+")");return n.char=r,n}function me(e,t){var r=le(e),n=new SyntaxError(t+" (char "+r+")");return n.char=r,n}return x.isAlpha=function(e,t,r){return x.isValidLatinOrGreek(e)||x.isValidMathSymbol(e,r)||x.isValidMathSymbol(t,e)},x.isValidLatinOrGreek=function(e){return/^[a-zA-Z_$\u00C0-\u02AF\u0370-\u03FF\u2100-\u214F]$/.test(e)},x.isValidMathSymbol=function(e,t){return/^[\uD835]$/.test(e)&&/^[\uDC00-\uDFFF]$/.test(t)&&/^[^\uDC55\uDC9D\uDCA0\uDCA1\uDCA3\uDCA4\uDCA7\uDCA8\uDCAD\uDCBA\uDCBC\uDCC4\uDD06\uDD0B\uDD0C\uDD15\uDD1D\uDD3A\uDD3F\uDD45\uDD47-\uDD49\uDD51\uDEA6\uDEA7\uDFCC\uDFCD]$/.test(t)},x.isWhitespace=function(e,t){return" "===e||"\t"===e||"\n"===e&&t>0},x.isDecimalMark=function(e,t){return"."===e&&"/"!==t&&"*"!==t&&"^"!==t},x.isDigitDot=function(e){return e>="0"&&e<="9"||"."===e},x.isDigit=function(e){return e>="0"&&e<="9"},x.isHexDigit=function(e){return e>="0"&&e<="9"||e>="a"&&e<="f"||e>="A"&&e<="F"},x})),pu=Qe("compile",["typed","parse"],(function(e){var t=e.typed,r=e.parse;return t("compile",{string:function(e){return r(e).compile()},"Array | Matrix":function(e){return Gt(e,(function(e){return r(e).compile()}))}})})),mu=Qe("evaluate",["typed","parse"],(function(e){var t=e.typed,r=e.parse;return t("evaluate",{string:function(e){var t=dt();return r(e).compile().evaluate(t)},"string, Map | Object":function(e,t){return r(e).compile().evaluate(t)},"Array | Matrix":function(e){var t=dt();return Gt(e,(function(e){return r(e).compile().evaluate(t)}))},"Array | Matrix, Map | Object":function(e,t){return Gt(e,(function(e){return r(e).compile().evaluate(t)}))}})})),hu=Qe("Parser",["evaluate"],(function(e){var t=e.evaluate;function r(){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");Object.defineProperty(this,"scope",{value:dt(),writable:!1})}return r.prototype.type="Parser",r.prototype.isParser=!0,r.prototype.evaluate=function(e){return t(e,this.scope)},r.prototype.get=function(e){if(this.scope.has(e))return this.scope.get(e)},r.prototype.getAll=function(){return function(e){if(e instanceof ht)return e.wrappedObject;var t,r={},n=pt(e.keys());try{for(n.s();!(t=n.n()).done;){var i=t.value;ot(r,i,e.get(i))}}catch(e){n.e(e)}finally{n.f()}return r}(this.scope)},r.prototype.getAllAsMap=function(){return this.scope},r.prototype.set=function(e,t){return this.scope.set(e,t),t},r.prototype.remove=function(e){this.scope.delete(e)},r.prototype.clear=function(){this.scope.clear()},r}),{isClass:!0}),du=Qe("parser",["typed","Parser"],(function(e){var t=e.typed,r=e.Parser;return t("parser",{"":function(){return new r}})})),vu=Qe("lup",["typed","matrix","abs","addScalar","divideScalar","multiplyScalar","subtract","larger","equalScalar","unaryMinus","DenseMatrix","SparseMatrix","Spa"],(function(e){var t=e.typed,r=e.matrix,n=e.abs,i=e.addScalar,a=e.divideScalar,o=e.multiplyScalar,s=e.subtract,u=e.larger,c=e.equalScalar,f=e.unaryMinus,l=e.DenseMatrix,p=e.SparseMatrix,m=e.Spa;return t("lup",{DenseMatrix:function(e){return h(e)},SparseMatrix:function(e){return d(e)},Array:function(e){var t=h(r(e));return{L:t.L.valueOf(),U:t.U.valueOf(),p:t.p}}});function h(e){var t,r,f,p=e._size[0],m=e._size[1],h=Math.min(p,m),d=He(e._data),v=[],y=[p,h],g=[],x=[h,m],b=[];for(t=0;t<p;t++)b[t]=t;for(r=0;r<m;r++){if(r>0)for(t=0;t<p;t++){var w=Math.min(t,r),N=0;for(f=0;f<w;f++)N=i(N,o(d[t][f],d[f][r]));d[t][r]=s(d[t][r],N)}var M=r,E=0,S=0;for(t=r;t<p;t++){var A=d[t][r],O=n(A);u(O,E)&&(M=t,E=O,S=A)}if(r!==M&&(b[r]=[b[M],b[M]=b[r]][0],l._swapRows(r,M,d)),r<p)for(t=r+1;t<p;t++){var C=d[t][r];c(C,0)||(d[t][r]=a(d[t][r],S))}}for(r=0;r<m;r++)for(t=0;t<p;t++)0===r&&(t<m&&(g[t]=[]),v[t]=[]),t<r?(t<m&&(g[t][r]=d[t][r]),r<p&&(v[t][r]=0)):t!==r?(t<m&&(g[t][r]=0),r<p&&(v[t][r]=d[t][r])):(t<m&&(g[t][r]=d[t][r]),r<p&&(v[t][r]=1));var T=new l({data:v,size:y}),_=new l({data:g,size:x}),I=[];for(t=0,h=b.length;t<h;t++)I[b[t]]=t;return{L:T,U:_,p:I,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}}function d(e){var t,r,i,s=e._size[0],l=e._size[1],h=Math.min(s,l),d=e._values,v=e._index,y=e._ptr,g=[],x=[],b=[],w=[s,h],N=[],M=[],E=[],S=[h,l],A=[],O=[];for(t=0;t<s;t++)A[t]=t,O[t]=t;var C=function(){var e=new m;r<s&&(b.push(g.length),g.push(1),x.push(r)),E.push(N.length);var l=y[r],h=y[r+1];for(i=l;i<h;i++)t=v[i],e.set(A[t],d[i]);r>0&&e.forEach(0,r-1,(function(t,r){p._forEachRow(t,g,x,b,(function(n,i){n>t&&e.accumulate(n,f(o(i,r)))}))}));var C,T,_,I,k=r,z=e.get(r),R=n(z);e.forEach(r+1,s-1,(function(e,t){var r=n(t);u(r,R)&&(k=e,R=r,z=t)})),r!==k&&(p._swapRows(r,k,w[1],g,x,b),p._swapRows(r,k,S[1],N,M,E),e.swap(r,k),T=k,_=O[C=r],I=O[T],A[_]=T,A[I]=C,O[C]=I,O[T]=_),e.forEach(0,s-1,(function(e,t){e<=r?(N.push(t),M.push(e)):(t=a(t,z),c(t,0)||(g.push(t),x.push(e)))}))};for(r=0;r<l;r++)C();return E.push(N.length),b.push(g.length),{L:new p({values:g,index:x,ptr:b,size:w}),U:new p({values:N,index:M,ptr:E,size:S}),p:A,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}}})),yu=Qe("qr",["typed","matrix","zeros","identity","isZero","equal","sign","sqrt","conj","unaryMinus","addScalar","divideScalar","multiplyScalar","subtract","complex"],(function(e){var t=e.typed,r=e.matrix,n=e.zeros,i=e.identity,a=e.isZero,o=e.equal,s=e.sign,u=e.sqrt,c=e.conj,f=e.unaryMinus,l=e.addScalar,p=e.divideScalar,m=e.multiplyScalar,h=e.subtract,d=e.complex;return vo()(t("qr",{DenseMatrix:function(e){return y(e)},SparseMatrix:function(e){return function(e){throw new Error("qr not implemented for sparse matrices yet")}()},Array:function(e){var t=y(r(e));return{Q:t.Q.valueOf(),R:t.R.valueOf()}}}),{_denseQRimpl:v});function v(e){var t,r,d,v=e._size[0],y=e._size[1],g=i([v],"dense"),x=g._data,b=e.clone(),w=b._data,N=n([v],"");for(d=0;d<Math.min(y,v);++d){var M=w[d][d],E=f(o(M,0)?1:s(M)),S=c(E),A=0;for(t=d;t<v;t++)A=l(A,m(w[t][d],c(w[t][d])));var O=m(E,u(A));if(!a(O)){var C=h(M,O);for(N[d]=1,t=d+1;t<v;t++)N[t]=p(w[t][d],C);var T=f(c(p(C,O))),_=void 0;for(r=d;r<y;r++){for(_=0,t=d;t<v;t++)_=l(_,m(c(N[t]),w[t][r]));for(_=m(_,T),t=d;t<v;t++)w[t][r]=m(h(w[t][r],m(N[t],_)),S)}for(t=0;t<v;t++){for(_=0,r=d;r<v;r++)_=l(_,m(x[t][r],N[r]));for(_=m(_,T),r=d;r<v;++r)x[t][r]=p(h(x[t][r],m(_,c(N[r]))),S)}}}return{Q:g,R:b,toString:function(){return"Q: "+this.Q.toString()+"\nR: "+this.R.toString()}}}function y(e){var t=v(e),r=t.R._data;if(e._data.length>0)for(var n="Complex"===r[0][0].type?d(0):0,i=0;i<r.length;++i)for(var a=0;a<i&&a<(r[0]||[]).length;++a)r[i][a]=n;return t}}));function gu(e,t,r,n,i,a,o){var s=0;for(r[o]=e;s>=0;){var u=r[o+s],c=r[n+u];-1===c?(s--,a[t++]=u):(r[n+u]=r[i+c],r[o+ ++s]=c)}return t}function xu(e){return-e-2}var bu=Qe("csAmd",["add","multiply","transpose"],(function(e){var t=e.add,r=e.multiply,n=e.transpose;return function(e,o){if(!o||e<=0||e>3)return null;var s=o._size,u=s[0],c=s[1],f=0,l=Math.max(16,10*Math.sqrt(c)),p=function(e,i,a,o,s){var u=n(i);if(1===e&&o===a)return t(i,u);if(2===e){for(var c=u._index,f=u._ptr,l=0,p=0;p<a;p++){var m=f[p];if(f[p]=l,!(f[p+1]-m>s))for(var h=f[p+1];m<h;m++)c[l++]=c[m]}return f[a]=l,i=n(u),r(u,i)}return r(u,i)}(e,o,u,c,l=Math.min(c-2,l));!function(e,t,r){for(var n=e._values,i=e._index,a=e._ptr,o=e._size[1],s=0,u=0;u<o;u++){var c=a[u];for(a[u]=s;c<a[u+1];c++)t(i[c],u,n?n[c]:1,r)&&(i[s]=i[c],n&&(n[s]=n[c]),s++)}a[o]=s,i.splice(s,i.length-s),n&&n.splice(s,n.length-s)}(p,a,null);for(var m,h,d,v,y,g,x,b,w,N,M,E,S,A,O,C,T=p._index,_=p._ptr,I=_[c],k=[],z=[],R=c+1,q=2*(c+1),B=3*(c+1),D=4*(c+1),j=5*(c+1),P=6*(c+1),F=7*(c+1),U=k,L=function(e,t,r,n,a,o,s,u,c,f,l,p){for(var m=0;m<e;m++)r[n+m]=t[m+1]-t[m];r[n+e]=0;for(var h=0;h<=e;h++)r[a+h]=-1,o[h]=-1,r[s+h]=-1,r[u+h]=-1,r[c+h]=1,r[f+h]=1,r[l+h]=0,r[p+h]=r[n+h];var d=i(0,0,r,f,e);return r[l+e]=-2,t[e]=-1,r[f+e]=0,d}(c,_,z,0,B,U,q,F,R,P,D,j),$=function(e,t,r,n,i,a,o,s,u,c,f){for(var l=0,p=0;p<e;p++){var m=r[n+p];if(0===m)r[i+p]=-2,l++,t[p]=-1,r[a+p]=0;else if(m>o)r[s+p]=0,r[i+p]=-1,l++,t[p]=xu(e),r[s+e]++;else{var h=r[u+m];-1!==h&&(c[h]=p),r[f+p]=r[u+m],r[u+m]=p}}return l}(c,_,z,j,D,P,l,R,B,U,q),H=0;$<c;){for(d=-1;H<c&&-1===(d=z[B+H]);H++);-1!==z[q+d]&&(U[z[q+d]]=-1),z[B+H]=z[q+d];var G=z[D+d],V=z[R+d];$+=V;var Z=0;z[R+d]=-V;var W=_[d],Y=0===G?W:I,J=Y;for(v=1;v<=G+1;v++){for(v>G?(g=d,x=W,b=z[0+d]-G):(x=_[g=T[W++]],b=z[0+g]),y=1;y<=b;y++)(w=z[R+(m=T[x++])])<=0||(Z+=w,z[R+m]=-w,T[J++]=m,-1!==z[q+m]&&(U[z[q+m]]=U[m]),-1!==U[m]?z[q+U[m]]=z[q+m]:z[B+z[j+m]]=z[q+m]);g!==d&&(_[g]=xu(d),z[P+g]=0)}for(0!==G&&(I=J),z[j+d]=Z,_[d]=Y,z[0+d]=J-Y,z[D+d]=-2,L=i(L,f,z,P,c),N=Y;N<J;N++)if(!((M=z[D+(m=T[N])])<=0)){var X=L-(w=-z[R+m]);for(W=_[m],E=_[m]+M-1;W<=E;W++)z[P+(g=T[W])]>=L?z[P+g]-=w:0!==z[P+g]&&(z[P+g]=z[j+g]+X)}for(N=Y;N<J;N++){for(S=(E=_[m=T[N]])+z[D+m]-1,A=E,O=0,C=0,W=E;W<=S;W++)if(0!==z[P+(g=T[W])]){var Q=z[P+g]-L;Q>0?(C+=Q,T[A++]=g,O+=g):(_[g]=xu(d),z[P+g]=0)}z[D+m]=A-E+1;var K=A,ee=E+z[0+m];for(W=S+1;W<ee;W++){var te=z[R+(h=T[W])];te<=0||(C+=te,T[A++]=h,O+=h)}0===C?(_[m]=xu(d),Z-=w=-z[R+m],V+=w,$+=w,z[R+m]=0,z[D+m]=-1):(z[j+m]=Math.min(z[j+m],C),T[A]=T[K],T[K]=T[E],T[E]=d,z[0+m]=A-E+1,O=(O<0?-O:O)%c,z[q+m]=z[F+O],z[F+O]=m,U[m]=O)}for(z[j+d]=Z,L=i(L+(f=Math.max(f,Z)),f,z,P,c),N=Y;N<J;N++)if(!(z[R+(m=T[N])]>=0))for(m=z[F+(O=U[m])],z[F+O]=-1;-1!==m&&-1!==z[q+m];m=z[q+m],L++){for(b=z[0+m],M=z[D+m],W=_[m]+1;W<=_[m]+b-1;W++)z[P+T[W]]=L;var re=m;for(h=z[q+m];-1!==h;){var ne=z[0+h]===b&&z[D+h]===M;for(W=_[h]+1;ne&&W<=_[h]+b-1;W++)z[P+T[W]]!==L&&(ne=0);ne?(_[h]=xu(m),z[R+m]+=z[R+h],z[R+h]=0,z[D+h]=-1,h=z[q+h],z[q+re]=h):(re=h,h=z[q+h])}}for(W=Y,N=Y;N<J;N++)(w=-z[R+(m=T[N])])<=0||(z[R+m]=w,C=z[j+m]+Z-w,-1!==z[B+(C=Math.min(C,c-$-w))]&&(U[z[B+C]]=m),z[q+m]=z[B+C],U[m]=-1,z[B+C]=m,H=Math.min(H,C),z[j+m]=C,T[W++]=m);z[R+d]=V,0==(z[0+d]=W-Y)&&(_[d]=-1,z[P+d]=0),0!==G&&(I=W)}for(m=0;m<c;m++)_[m]=xu(_[m]);for(h=0;h<=c;h++)z[B+h]=-1;for(h=c;h>=0;h--)z[R+h]>0||(z[q+h]=z[B+_[h]],z[B+_[h]]=h);for(g=c;g>=0;g--)z[R+g]<=0||-1!==_[g]&&(z[q+g]=z[B+_[g]],z[B+_[g]]=g);for(d=0,m=0;m<=c;m++)-1===_[m]&&(d=gu(m,d,z,B,q,k,P));return k.splice(k.length-1,1),k};function i(e,t,r,n,i){if(e<2||e+t<0){for(var a=0;a<i;a++)0!==r[n+a]&&(r[n+a]=1);e=2}return e}function a(e,t){return e!==t}}));function wu(e,t,r,n,i,a,o){var s,u,c,f=0;if(e<=t||r[n+t]<=r[i+e])return-1;r[i+e]=r[n+t];var l=r[a+e];if(r[a+e]=t,-1===l)f=1,c=e;else{for(f=2,c=l;c!==r[o+c];c=r[o+c]);for(s=l;s!==c;s=u)u=r[o+s],r[o+s]=c}return{jleaf:f,q:c}}var Nu=Qe("csCounts",["transpose"],(function(e){var t=e.transpose;return function(e,r,n,i){if(!e||!r||!n)return null;var a,o,s,u,c,f,l,p=e._size,m=p[0],h=p[1],d=4*h+(i?h+m+1:0),v=[],y=h,g=2*h,x=3*h,b=4*h,w=5*h+1;for(s=0;s<d;s++)v[s]=-1;var N=[],M=t(e),E=M._index,S=M._ptr;for(s=0;s<h;s++)for(N[o=n[s]]=-1===v[x+o]?1:0;-1!==o&&-1===v[x+o];o=r[o])v[x+o]=s;if(i){for(s=0;s<h;s++)v[n[s]]=s;for(a=0;a<m;a++){for(s=h,f=S[a],l=S[a+1],c=f;c<l;c++)s=Math.min(s,v[E[c]]);v[w+a]=v[b+s],v[b+s]=a}}for(a=0;a<h;a++)v[0+a]=a;for(s=0;s<h;s++){for(-1!==r[o=n[s]]&&N[r[o]]--,u=i?v[b+s]:o;-1!==u;u=i?v[w+u]:-1)for(c=S[u];c<S[u+1];c++){var A=wu(a=E[c],o,v,x,y,g,0);A.jleaf>=1&&N[o]++,2===A.jleaf&&N[A.q]--}-1!==r[o]&&(v[0+o]=r[o])}for(o=0;o<h;o++)-1!==r[o]&&(N[r[o]]+=N[o]);return N}})),Mu=Qe("csSqr",["add","multiply","transpose"],(function(e){var t=e.add,r=e.multiply,n=e.transpose,i=bu({add:t,multiply:r,transpose:n}),a=Nu({transpose:n});return function(e,t,r){var n,o=t._ptr,s=t._size[1],u={};if(u.q=i(e,t),e&&!u.q)return null;if(r){var c=e?function(e,t,r,n){for(var i=e._values,a=e._index,o=e._ptr,s=e._size,u=e._datatype,c=s[0],f=s[1],l=n&&e._values?[]:null,p=[],m=[],h=0,d=0;d<f;d++){m[d]=h;for(var v=r?r[d]:d,y=o[v],g=o[v+1],x=y;x<g;x++){var b=t?t[a[x]]:a[x];p[h]=b,l&&(l[h]=i[x]),h++}}return m[f]=h,e.createSparseMatrix({values:l,index:p,ptr:m,size:[c,f],datatype:u})}(t,null,u.q,0):t;u.parent=function(e,t){if(!e)return null;var r,n,i=e._index,a=e._ptr,o=e._size,s=o[0],u=o[1],c=[],f=[],l=u;if(t)for(r=0;r<s;r++)f[l+r]=-1;for(var p=0;p<u;p++){c[p]=-1,f[0+p]=-1;for(var m=a[p],h=a[p+1],d=m;d<h;d++){var v=i[d];for(r=t?f[l+v]:v;-1!==r&&r<p;r=n)n=f[0+r],f[0+r]=p,-1===n&&(c[r]=p);t&&(f[l+v]=p)}}return c}(c,1);var f=function(e,t){if(!e)return null;var r,n=0,i=[],a=[],o=t,s=2*t;for(r=0;r<t;r++)a[0+r]=-1;for(r=t-1;r>=0;r--)-1!==e[r]&&(a[o+r]=a[0+e[r]],a[0+e[r]]=r);for(r=0;r<t;r++)-1===e[r]&&(n=gu(r,n,a,0,o,i,s));return i}(u.parent,s);if(u.cp=a(c,u.parent,f,1),c&&u.parent&&u.cp&&function(e,t){var r=e._ptr,n=e._index,i=e._size,a=i[0],o=i[1];t.pinv=[],t.leftmost=[];var s,u,c,f,l,p=t.parent,m=t.pinv,h=t.leftmost,d=[],v=a,y=a+o,g=a+2*o;for(u=0;u<o;u++)d[v+u]=-1,d[y+u]=-1,d[g+u]=0;for(s=0;s<a;s++)h[s]=-1;for(u=o-1;u>=0;u--)for(f=r[u],l=r[u+1],c=f;c<l;c++)h[n[c]]=u;for(s=a-1;s>=0;s--)m[s]=-1,-1!==(u=h[s])&&(0==d[g+u]++&&(d[y+u]=s),d[0+s]=d[v+u],d[v+u]=s);for(t.lnz=0,t.m2=a,u=0;u<o;u++)if(s=d[v+u],t.lnz++,s<0&&(s=t.m2++),m[s]=u,!(--g[u]<=0)){t.lnz+=d[g+u];var x=p[u];-1!==x&&(0===d[g+x]&&(d[y+x]=d[y+u]),d[0+d[y+u]]=d[v+x],d[v+x]=d[0+s],d[g+x]+=d[g+u])}for(s=0;s<a;s++)m[s]<0&&(m[s]=u++);return!0}(c,u))for(u.unz=0,n=0;n<s;n++)u.unz+=u.cp[n]}else u.unz=4*o[s]+s,u.lnz=u.unz;return u}}));function Eu(e,t){return e[t]<0}function Su(e,t){e[t]=xu(e[t])}function Au(e){return e<0?xu(e):e}function Ou(e,t,r,n,i){var a,o,s,u=t._index,c=t._ptr,f=t._size[1],l=0;for(n[0]=e;l>=0;){e=n[l];var p=i?i[e]:e;Eu(c,e)||(Su(c,e),n[f+l]=p<0?0:Au(c[p]));var m=1;for(o=n[f+l],s=p<0?0:Au(c[p+1]);o<s;o++)if(!Eu(c,a=u[o])){n[f+l]=o,n[++l]=a,m=0;break}m&&(l--,n[--r]=e)}return r}var Cu=Qe("csSpsolve",["divideScalar","multiply","subtract"],(function(e){var t=e.divideScalar,r=e.multiply,n=e.subtract;return function(e,i,a,o,s,u,c){var f,l,p,m,h=e._values,d=e._index,v=e._ptr,y=e._size[1],g=i._values,x=i._index,b=i._ptr,w=function(e,t,r,n,i){var a,o,s,u=e._ptr,c=e._size,f=t._index,l=t._ptr,p=c[1],m=p;for(o=l[r],s=l[r+1],a=o;a<s;a++){var h=f[a];Eu(u,h)||(m=Ou(h,e,m,n,i))}for(a=m;a<p;a++)Su(u,n[a]);return m}(e,i,a,o,u);for(f=w;f<y;f++)s[o[f]]=0;for(l=b[a],p=b[a+1],f=l;f<p;f++)s[x[f]]=g[f];for(var N=w;N<y;N++){var M=o[N],E=u?u[M]:M;if(!(E<0))for(l=v[E],p=v[E+1],s[M]=t(s[M],h[c?l:p-1]),f=c?l+1:l,m=c?p:p-1;f<m;f++){var S=d[f];s[S]=n(s[S],r(h[f],s[M]))}}return w}})),Tu=Qe("csLu",["abs","divideScalar","multiply","subtract","larger","largerEq","SparseMatrix"],(function(e){var t=e.abs,r=e.divideScalar,n=e.multiply,i=e.subtract,a=e.larger,o=e.largerEq,s=e.SparseMatrix,u=Cu({divideScalar:r,multiply:n,subtract:i});return function(e,i,c){if(!e)return null;var f,l=e._size[1],p=100,m=100;i&&(f=i.q,p=i.lnz||p,m=i.unz||m);var h,d,v=[],y=[],g=[],x=new s({values:v,index:y,ptr:g,size:[l,l]}),b=[],w=[],N=[],M=new s({values:b,index:w,ptr:N,size:[l,l]}),E=[],S=[],A=[];for(h=0;h<l;h++)S[h]=0,E[h]=-1,g[h+1]=0;p=0,m=0;for(var O=0;O<l;O++){g[O]=p,N[O]=m;var C=f?f[O]:O,T=u(x,e,C,A,S,E,1),_=-1,I=-1;for(d=T;d<l;d++)if(E[h=A[d]]<0){var k=t(S[h]);a(k,I)&&(I=k,_=h)}else w[m]=E[h],b[m++]=S[h];if(-1===_||I<=0)return null;E[C]<0&&o(t(S[C]),n(I,c))&&(_=C);var z=S[_];for(w[m]=O,b[m++]=z,E[_]=O,y[p]=_,v[p++]=1,d=T;d<l;d++)E[h=A[d]]<0&&(y[p]=h,v[p++]=r(S[h],z)),S[h]=0}for(g[l]=p,N[l]=m,d=0;d<p;d++)y[d]=E[y[d]];return v.splice(p,v.length-p),y.splice(p,y.length-p),b.splice(m,b.length-m),w.splice(m,w.length-m),{L:x,U:M,pinv:E}}})),_u=Qe("slu",["typed","abs","add","multiply","transpose","divideScalar","subtract","larger","largerEq","SparseMatrix"],(function(e){var t=e.typed,r=e.abs,n=e.add,i=e.multiply,a=e.transpose,o=e.divideScalar,s=e.subtract,u=e.larger,c=e.largerEq,f=e.SparseMatrix,l=Mu({add:n,multiply:i,transpose:a}),p=Tu({abs:r,divideScalar:o,multiply:i,subtract:s,larger:u,largerEq:c,SparseMatrix:f});return t("slu",{"SparseMatrix, number, number":function(e,t,r){if(!Z(t)||t<0||t>3)throw new Error("Symbolic Ordering and Analysis order must be an integer number in the interval [0, 3]");if(r<0||r>1)throw new Error("Partial pivoting threshold must be a number from 0 to 1");var n=l(t,e,!1),i=p(e,n,r);return{L:i.L,U:i.U,p:i.pinv,q:n.q,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\np: "+this.p.toString()+(this.q?"\nq: "+this.q.toString():"")+"\n"}}}})}));function Iu(e,t){var r,n=t.length,i=[];if(e)for(r=0;r<n;r++)i[e[r]]=t[r];else for(r=0;r<n;r++)i[r]=t[r];return i}var ku=["typed","matrix","lup","slu","usolve","lsolve","DenseMatrix"],zu=Qe("lusolve",ku,(function(e){var t=e.typed,r=e.matrix,n=e.lup,i=e.slu,a=e.usolve,o=e.lsolve,s=Da({DenseMatrix:e.DenseMatrix});return t("lusolve",{"Array, Array | Matrix":function(e,t){e=r(e);var i=n(e);return c(i.L,i.U,i.p,null,t).valueOf()},"DenseMatrix, Array | Matrix":function(e,t){var r=n(e);return c(r.L,r.U,r.p,null,t)},"SparseMatrix, Array | Matrix":function(e,t){var r=n(e);return c(r.L,r.U,r.p,null,t)},"SparseMatrix, Array | Matrix, number, number":function(e,t,r,n){var a=i(e,r,n);return c(a.L,a.U,a.p,a.q,t)},"Object, Array | Matrix":function(e,t){return c(e.L,e.U,e.p,e.q,t)}});function u(e){if(m(e))return e;if(p(e))return r(e);throw new TypeError("Invalid Matrix LU decomposition")}function c(e,t,r,n,i){e=u(e),t=u(t),r&&((i=s(e,i,!0))._data=Iu(r,i._data));var c=o(e,i),f=a(t,c);return n&&(f._data=Iu(n,f._data)),f}})),Ru=["parse"],qu=Qe("Help",Ru,(function(e){var t=e.parse;function r(e){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");if(!e)throw new Error('Argument "doc" missing');this.doc=e}return r.prototype.type="Help",r.prototype.isHelp=!0,r.prototype.toString=function(){var e=this.doc||{},r="\n";if(e.name&&(r+="Name: "+e.name+"\n\n"),e.category&&(r+="Category: "+e.category+"\n\n"),e.description&&(r+="Description:\n "+e.description+"\n\n"),e.syntax&&(r+="Syntax:\n "+e.syntax.join("\n ")+"\n\n"),e.examples){r+="Examples:\n";for(var n={},i=0;i<e.examples.length;i++){var a=e.examples[i];r+=" "+a+"\n";var o=void 0;try{o=t(a).compile().evaluate(n)}catch(e){o=e}void 0===o||w(o)||(r+=" "+xe(o,{precision:14})+"\n")}r+="\n"}return e.mayThrow&&e.mayThrow.length&&(r+="Throws: "+e.mayThrow.join(", ")+"\n\n"),e.seealso&&e.seealso.length&&(r+="See also: "+e.seealso.join(", ")+"\n"),r},r.prototype.toJSON=function(){var e=He(this.doc);return e.mathjs="Help",e},r.fromJSON=function(e){var t={};return Object.keys(e).filter((function(e){return"mathjs"!==e})).forEach((function(r){t[r]=e[r]})),new r(t)},r.prototype.valueOf=r.prototype.toString,r}),{isClass:!0}),Bu=["?on","math"],Du=Qe("Chain",Bu,(function(e){var t=e.on,r=e.math;function n(e){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");$(e)?this.value=e.value:this.value=e}function i(e,t){Ye(n.prototype,e,(function(){var e=t();if("function"==typeof e)return a(e)}))}function a(e){return function(){for(var t=[this.value],r=0;r<arguments.length;r++)t[r+1]=arguments[r];return new n(e.apply(e,t))}}n.prototype.type="Chain",n.prototype.isChain=!0,n.prototype.done=function(){return this.value},n.prototype.valueOf=function(){return this.value},n.prototype.toString=function(){return xe(this.value)},n.prototype.toJSON=function(){return{mathjs:"Chain",value:this.value}},n.fromJSON=function(e){return new n(e.value)},n.createProxy=function(e,t){if("string"==typeof e)u=e,"function"==typeof(c=t)&&(n.prototype[u]=a(c));else{var r=function(t){Je(e,t)&&void 0===o[t]&&i(t,(function(){return e[t]}))};for(var s in e)r(s)}var u,c};var o={expression:!0,docs:!0,type:!0,classes:!0,json:!0,error:!0,isChain:!0};return n.createProxy(r),t&&t("import",(function(e,t,r){r||i(e,t)})),n}),{isClass:!0}),ju={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"]},Pu={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"]},Fu={bignumber:{name:"bignumber",category:"Construction",syntax:["bignumber(x)"],description:"Create a big number from a number or string.",examples:["0.1 + 0.2","bignumber(0.1) + bignumber(0.2)",'bignumber("7.2")','bignumber("7.2e500")',"bignumber([0.1, 0.2, 0.3])"],seealso:["boolean","complex","fraction","index","matrix","string","unit"]},boolean:{name:"boolean",category:"Construction",syntax:["x","boolean(x)"],description:"Convert a string or number into a boolean.",examples:["boolean(0)","boolean(1)","boolean(3)",'boolean("true")','boolean("false")',"boolean([1, 0, 1, 1])"],seealso:["bignumber","complex","index","matrix","number","string","unit"]},complex:{name:"complex",category:"Construction",syntax:["complex()","complex(re, im)","complex(string)"],description:"Create a complex number.",examples:["complex()","complex(2, 3)",'complex("7 - 2i")'],seealso:["bignumber","boolean","index","matrix","number","string","unit"]},createUnit:{name:"createUnit",category:"Construction",syntax:["createUnit(definitions)","createUnit(name, definition)"],description:"Create a user-defined unit and register it with the Unit type.",examples:['createUnit("foo")','createUnit("knot", {definition: "0.514444444 m/s", aliases: ["knots", "kt", "kts"]})','createUnit("mph", "1 mile/hour")'],seealso:["unit","splitUnit"]},fraction:{name:"fraction",category:"Construction",syntax:["fraction(num)","fraction(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"]},index:{name:"index",category:"Construction",syntax:["[start]","[start:end]","[start:step:end]","[start1, start 2, ...]","[start1:end1, start2:end2, ...]","[start1:step1:end1, start2:step2:end2, ...]"],description:"Create an index to get or replace a subset of a matrix",examples:["[]","[1, 2, 3]","A = [1, 2, 3; 4, 5, 6]","A[1, :]","A[1, 2] = 50","A[0:2, 0:2] = ones(2, 2)"],seealso:["bignumber","boolean","complex","matrix,","number","range","string","unit"]},matrix:{name:"matrix",category:"Construction",syntax:["[]","[a1, b1, ...; a2, b2, ...]","matrix()",'matrix("dense")',"matrix([...])"],description:"Create a matrix.",examples:["[]","[1, 2, 3]","[1, 2, 3; 4, 5, 6]","matrix()","matrix([3, 4])",'matrix([3, 4; 5, 6], "sparse")','matrix([3, 4; 5, 6], "sparse", "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","sparse"]},number:{name:"number",category:"Construction",syntax:["x","number(x)","number(unit, valuelessUnit)"],description:"Create a number or convert a string or boolean into a number.",examples:["2","2e3","4.05","number(2)",'number("7.2")',"number(true)","number([true, false, true, true])",'number(unit("52cm"), "m")'],seealso:["bignumber","boolean","complex","fraction","index","matrix","string","unit"]},sparse:{name:"sparse",category:"Construction",syntax:["sparse()","sparse([a1, b1, ...; a1, b2, ...])",'sparse([a1, b1, ...; a1, b2, ...], "number")'],description:"Create a sparse matrix.",examples:["sparse()","sparse([3, 4; 5, 6])",'sparse([3, 0; 5, 0], "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","matrix"]},splitUnit:{name:"splitUnit",category:"Construction",syntax:["splitUnit(unit: Unit, parts: Unit[])"],description:"Split a unit in an array of units whose sum is equal to the original unit.",examples:['splitUnit(1 m, ["feet", "inch"])'],seealso:["unit","createUnit"]},string:{name:"string",category:"Construction",syntax:['"text"',"string(x)"],description:"Create a string or convert a value to a string",examples:['"Hello World!"',"string(4.2)","string(3 + 2i)"],seealso:["bignumber","boolean","complex","index","matrix","number","unit"]},unit:{name:"unit",category:"Construction",syntax:["value unit","unit(value, unit)","unit(string)"],description:"Create a unit.",examples:["5.5 mm","3 inch",'unit(7.1, "kilogram")','unit("23 deg")'],seealso:["bignumber","boolean","complex","index","matrix","number","string"]},e:ju,E:ju,false:{name:"false",category:"Constants",syntax:["false"],description:"Boolean value false",examples:["false"],seealso:["true"]},i:{name:"i",category:"Constants",syntax:["i"],description:"Imaginary unit, defined as i*i=-1. A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.",examples:["i","i * i","sqrt(-1)"],seealso:[]},Infinity:{name:"Infinity",category:"Constants",syntax:["Infinity"],description:"Infinity, a number which is larger than the maximum number that can be handled by a floating point number.",examples:["Infinity","1 / 0"],seealso:[]},LN2:{name:"LN2",category:"Constants",syntax:["LN2"],description:"Returns the natural logarithm of 2, approximately equal to 0.693",examples:["LN2","log(2)"],seealso:[]},LN10:{name:"LN10",category:"Constants",syntax:["LN10"],description:"Returns the natural logarithm of 10, approximately equal to 2.302",examples:["LN10","log(10)"],seealso:[]},LOG2E:{name:"LOG2E",category:"Constants",syntax:["LOG2E"],description:"Returns the base-2 logarithm of E, approximately equal to 1.442",examples:["LOG2E","log(e, 2)"],seealso:[]},LOG10E:{name:"LOG10E",category:"Constants",syntax:["LOG10E"],description:"Returns the base-10 logarithm of E, approximately equal to 0.434",examples:["LOG10E","log(e, 10)"],seealso:[]},NaN:{name:"NaN",category:"Constants",syntax:["NaN"],description:"Not a number",examples:["NaN","0 / 0"],seealso:[]},null:{name:"null",category:"Constants",syntax:["null"],description:"Value null",examples:["null"],seealso:["true","false"]},pi:Pu,PI:Pu,phi:{name:"phi",category:"Constants",syntax:["phi"],description:"Phi is the golden ratio. Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Phi is defined as `(1 + sqrt(5)) / 2` and is approximately 1.618034...",examples:["phi"],seealso:[]},SQRT1_2:{name:"SQRT1_2",category:"Constants",syntax:["SQRT1_2"],description:"Returns the square root of 1/2, approximately equal to 0.707",examples:["SQRT1_2","sqrt(1/2)"],seealso:[]},SQRT2:{name:"SQRT2",category:"Constants",syntax:["SQRT2"],description:"Returns the square root of 2, approximately equal to 1.414",examples:["SQRT2","sqrt(2)"],seealso:[]},tau:{name:"tau",category:"Constants",syntax:["tau"],description:"Tau is the ratio constant of a circle's circumference to radius, equal to 2 * pi, approximately 6.2832.",examples:["tau","2 * pi"],seealso:["pi"]},true:{name:"true",category:"Constants",syntax:["true"],description:"Boolean value true",examples:["true"],seealso:["false"]},version:{name:"version",category:"Constants",syntax:["version"],description:"A string with the version number of math.js",examples:["version"],seealso:[]},speedOfLight:{description:"Speed of light in vacuum",examples:["speedOfLight"]},gravitationConstant:{description:"Newtonian constant of gravitation",examples:["gravitationConstant"]},planckConstant:{description:"Planck constant",examples:["planckConstant"]},reducedPlanckConstant:{description:"Reduced Planck constant",examples:["reducedPlanckConstant"]},magneticConstant:{description:"Magnetic constant (vacuum permeability)",examples:["magneticConstant"]},electricConstant:{description:"Electric constant (vacuum permeability)",examples:["electricConstant"]},vacuumImpedance:{description:"Characteristic impedance of vacuum",examples:["vacuumImpedance"]},coulomb:{description:"Coulomb's constant",examples:["coulomb"]},elementaryCharge:{description:"Elementary charge",examples:["elementaryCharge"]},bohrMagneton:{description:"Borh magneton",examples:["bohrMagneton"]},conductanceQuantum:{description:"Conductance quantum",examples:["conductanceQuantum"]},inverseConductanceQuantum:{description:"Inverse conductance quantum",examples:["inverseConductanceQuantum"]},magneticFluxQuantum:{description:"Magnetic flux quantum",examples:["magneticFluxQuantum"]},nuclearMagneton:{description:"Nuclear magneton",examples:["nuclearMagneton"]},klitzing:{description:"Von Klitzing constant",examples:["klitzing"]},bohrRadius:{description:"Borh radius",examples:["bohrRadius"]},classicalElectronRadius:{description:"Classical electron radius",examples:["classicalElectronRadius"]},electronMass:{description:"Electron mass",examples:["electronMass"]},fermiCoupling:{description:"Fermi coupling constant",examples:["fermiCoupling"]},fineStructure:{description:"Fine-structure constant",examples:["fineStructure"]},hartreeEnergy:{description:"Hartree energy",examples:["hartreeEnergy"]},protonMass:{description:"Proton mass",examples:["protonMass"]},deuteronMass:{description:"Deuteron Mass",examples:["deuteronMass"]},neutronMass:{description:"Neutron mass",examples:["neutronMass"]},quantumOfCirculation:{description:"Quantum of circulation",examples:["quantumOfCirculation"]},rydberg:{description:"Rydberg constant",examples:["rydberg"]},thomsonCrossSection:{description:"Thomson cross section",examples:["thomsonCrossSection"]},weakMixingAngle:{description:"Weak mixing angle",examples:["weakMixingAngle"]},efimovFactor:{description:"Efimov factor",examples:["efimovFactor"]},atomicMass:{description:"Atomic mass constant",examples:["atomicMass"]},avogadro:{description:"Avogadro's number",examples:["avogadro"]},boltzmann:{description:"Boltzmann constant",examples:["boltzmann"]},faraday:{description:"Faraday constant",examples:["faraday"]},firstRadiation:{description:"First radiation constant",examples:["firstRadiation"]},loschmidt:{description:"Loschmidt constant at T=273.15 K and p=101.325 kPa",examples:["loschmidt"]},gasConstant:{description:"Gas constant",examples:["gasConstant"]},molarPlanckConstant:{description:"Molar Planck constant",examples:["molarPlanckConstant"]},molarVolume:{description:"Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa",examples:["molarVolume"]},sackurTetrode:{description:"Sackur-Tetrode constant at T=1 K and p=101.325 kPa",examples:["sackurTetrode"]},secondRadiation:{description:"Second radiation constant",examples:["secondRadiation"]},stefanBoltzmann:{description:"Stefan-Boltzmann constant",examples:["stefanBoltzmann"]},wienDisplacement:{description:"Wien displacement law constant",examples:["wienDisplacement"]},molarMass:{description:"Molar mass constant",examples:["molarMass"]},molarMassC12:{description:"Molar mass constant of carbon-12",examples:["molarMassC12"]},gravity:{description:"Standard acceleration of gravity (standard acceleration of free-fall on Earth)",examples:["gravity"]},planckLength:{description:"Planck length",examples:["planckLength"]},planckMass:{description:"Planck mass",examples:["planckMass"]},planckTime:{description:"Planck time",examples:["planckTime"]},planckCharge:{description:"Planck charge",examples:["planckCharge"]},planckTemperature:{description:"Planck temperature",examples:["planckTemperature"]},derivative:{name:"derivative",category:"Algebra",syntax:["derivative(expr, variable)","derivative(expr, variable, {simplify: boolean})"],description:"Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.",examples:['derivative("2x^3", "x")','derivative("2x^3", "x", {simplify: false})','derivative("2x^2 + 3x + 4", "x")','derivative("sin(2x)", "x")','f = parse("x^2 + x")','x = parse("x")',"df = derivative(f, x)","df.evaluate({x: 3})"],seealso:["simplify","parse","evaluate"]},lsolve:{name:"lsolve",category:"Algebra",syntax:["x=lsolve(L, b)"],description:"Finds one solution of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lsolveAll","lup","lusolve","usolve","matrix","sparse"]},lsolveAll:{name:"lsolveAll",category:"Algebra",syntax:["x=lsolveAll(L, b)"],description:"Finds all solutions of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lsolve","lup","lusolve","usolve","matrix","sparse"]},lup:{name:"lup",category:"Algebra",syntax:["lup(m)"],description:"Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U",examples:["lup([[2, 1], [1, 4]])","lup(matrix([[2, 1], [1, 4]]))","lup(sparse([[2, 1], [1, 4]]))"],seealso:["lusolve","lsolve","usolve","matrix","sparse","slu","qr"]},lusolve:{name:"lusolve",category:"Algebra",syntax:["x=lusolve(A, b)","x=lusolve(lu, b)"],description:"Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lusolve(a, b)"],seealso:["lup","slu","lsolve","usolve","matrix","sparse"]},leafCount:{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"]},resolve:{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"]},simplify:{name:"simplify",category:"Algebra",syntax:["simplify(expr)","simplify(expr, rules)"],description:"Simplify an expression tree.",examples:['simplify("3 + 2 / 4")','simplify("2x + x")','f = parse("x * (x + 2 + x)")',"simplified = simplify(f)","simplified.evaluate({x: 2})"],seealso:["simplifyCore","derivative","evaluate","parse","rationalize","resolve"]},simplifyCore:{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","evaluate"]},symbolicEqual:{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"]},rationalize:{name:"rationalize",category:"Algebra",syntax:["rationalize(expr)","rationalize(expr, scope)","rationalize(expr, scope, detailed)"],description:"Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.",examples:['rationalize("2x/y - y/(x+1)")','rationalize("2x/y - y/(x+1)", true)'],seealso:["simplify"]},slu:{name:"slu",category:"Algebra",syntax:["slu(A, order, threshold)"],description:"Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U",examples:["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"],seealso:["lusolve","lsolve","usolve","matrix","sparse","lup","qr"]},usolve:{name:"usolve",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Finds one solution of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["usolveAll","lup","lusolve","lsolve","matrix","sparse"]},usolveAll:{name:"usolveAll",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Finds all solutions of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["usolve","lup","lusolve","lsolve","matrix","sparse"]},qr:{name:"qr",category:"Algebra",syntax:["qr(A)"],description:"Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.",examples:["qr([[1, -1, 4], [1, 4, -2], [1, 4, 2], [1, -1, 0]])"],seealso:["lup","slu","matrix"]},abs:{name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]},add:{name:"add",category:"Operators",syntax:["x + y","add(x, y)"],description:"Add two values.",examples:["a = 2.1 + 3.6","a - 3.6","3 + 2i","3 cm + 2 inch",'"2.3" + "4"'],seealso:["subtract"]},cbrt:{name:"cbrt",category:"Arithmetic",syntax:["cbrt(x)","cbrt(x, allRoots)"],description:"Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned",examples:["cbrt(64)","cube(4)","cbrt(-8)","cbrt(2 + 3i)","cbrt(8i)","cbrt(8i, true)","cbrt(27 m^3)"],seealso:["square","sqrt","cube","multiply"]},ceil:{name:"ceil",category:"Arithmetic",syntax:["ceil(x)"],description:"Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.",examples:["ceil(3.2)","ceil(3.8)","ceil(-4.2)"],seealso:["floor","fix","round"]},cube:{name:"cube",category:"Arithmetic",syntax:["cube(x)"],description:"Compute the cube of a value. The cube of x is x * x * x.",examples:["cube(2)","2^3","2 * 2 * 2"],seealso:["multiply","square","pow"]},divide:{name:"divide",category:"Operators",syntax:["x / y","divide(x, y)"],description:"Divide two values.",examples:["a = 2 / 3","a * 3","4.5 / 2","3 + 4 / 2","(3 + 4) / 2","18 km / 4.5"],seealso:["multiply"]},dotDivide:{name:"dotDivide",category:"Operators",syntax:["x ./ y","dotDivide(x, y)"],description:"Divide two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a ./ b"],seealso:["multiply","dotMultiply","divide"]},dotMultiply:{name:"dotMultiply",category:"Operators",syntax:["x .* y","dotMultiply(x, y)"],description:"Multiply two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a .* b"],seealso:["multiply","divide","dotDivide"]},dotPow:{name:"dotPow",category:"Operators",syntax:["x .^ y","dotPow(x, y)"],description:"Calculates the power of x to y element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","a .^ 2"],seealso:["pow"]},exp:{name:"exp",category:"Arithmetic",syntax:["exp(x)"],description:"Calculate the exponent of a value.",examples:["exp(1.3)","e ^ 1.3","log(exp(1.3))","x = 2.4","(exp(i*x) == cos(x) + i*sin(x)) # Euler's formula"],seealso:["expm","expm1","pow","log"]},expm:{name:"expm",category:"Arithmetic",syntax:["exp(x)"],description:"Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.",examples:["expm([[0,2],[0,0]])"],seealso:["exp"]},expm1:{name:"expm1",category:"Arithmetic",syntax:["expm1(x)"],description:"Calculate the value of subtracting 1 from the exponential value.",examples:["expm1(2)","pow(e, 2) - 1","log(expm1(2) + 1)"],seealso:["exp","pow","log"]},fix:{name:"fix",category:"Arithmetic",syntax:["fix(x)"],description:"Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.",examples:["fix(3.2)","fix(3.8)","fix(-4.2)","fix(-4.8)"],seealso:["ceil","floor","round"]},floor:{name:"floor",category:"Arithmetic",syntax:["floor(x)"],description:"Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.",examples:["floor(3.2)","floor(3.8)","floor(-4.2)"],seealso:["ceil","fix","round"]},gcd:{name:"gcd",category:"Arithmetic",syntax:["gcd(a, b)","gcd(a, b, c, ...)"],description:"Compute the greatest common divisor.",examples:["gcd(8, 12)","gcd(-4, 6)","gcd(25, 15, -10)"],seealso:["lcm","xgcd"]},hypot:{name:"hypot",category:"Arithmetic",syntax:["hypot(a, b, c, ...)","hypot([a, b, c, ...])"],description:"Calculate the hypotenusa of a list with values. ",examples:["hypot(3, 4)","sqrt(3^2 + 4^2)","hypot(-2)","hypot([3, 4, 5])"],seealso:["abs","norm"]},lcm:{name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]},log:{name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 4","log(10000, 10)","log(10000) / log(10)","b = log(1024, 2)","2 ^ b"],seealso:["exp","log1p","log2","log10"]},log2:{name:"log2",category:"Arithmetic",syntax:["log2(x)"],description:"Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.",examples:["log2(0.03125)","log2(16)","log2(16) / log2(2)","pow(2, 4)"],seealso:["exp","log1p","log","log10"]},log1p:{name:"log1p",category:"Arithmetic",syntax:["log1p(x)","log1p(x, base)"],description:"Calculate the logarithm of a `value+1`",examples:["log1p(2.5)","exp(log1p(1.4))","pow(10, 4)","log1p(9999, 10)","log1p(9999) / log(10)"],seealso:["exp","log","log2","log10"]},log10:{name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(0.00001)","log10(10000)","10 ^ 4","log(10000) / log(10)","log(10000, 10)"],seealso:["exp","log"]},mod:{name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:["divide"]},multiply:{name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["a = 2.1 * 3.4","a / 3.4","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]},norm:{name:"norm",category:"Arithmetic",syntax:["norm(x)","norm(x, p)"],description:"Calculate the norm of a number, vector or matrix.",examples:["abs(-3.5)","norm(-3.5)","norm(3 - 4i)","norm([1, 2, -3], Infinity)","norm([1, 2, -3], -Infinity)","norm([3, 4], 2)","norm([[1, 2], [3, 4]], 1)",'norm([[1, 2], [3, 4]], "inf")','norm([[1, 2], [3, 4]], "fro")']},nthRoot:{name:"nthRoot",category:"Arithmetic",syntax:["nthRoot(a)","nthRoot(a, root)"],description:'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".',examples:["4 ^ 3","nthRoot(64, 3)","nthRoot(9, 2)","sqrt(9)"],seealso:["nthRoots","pow","sqrt"]},nthRoots:{name:"nthRoots",category:"Arithmetic",syntax:["nthRoots(A)","nthRoots(A, root)"],description:'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.',examples:["nthRoots(1)","nthRoots(1, 3)"],seealso:["sqrt","pow","nthRoot"]},pow:{name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3","2*2*2","1 + e ^ (pi * i)","math.pow([[1, 2], [4, 3]], 2)","math.pow([[1, 2], [4, 3]], -1)"],seealso:["multiply","nthRoot","nthRoots","sqrt"]},round:{name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)"],description:"round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)"],seealso:["ceil","floor","fix"]},sign:{name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]},sqrt:{name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","sqrtm","multiply","nthRoot","nthRoots","pow"]},sqrtm:{name:"sqrtm",category:"Arithmetic",syntax:["sqrtm(x)"],description:"Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.",examples:["sqrtm([[1, 2], [3, 4]])"],seealso:["sqrt","abs","square","multiply"]},square:{name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]},subtract:{name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["a = 5.3 - 2","a + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]},unaryMinus:{name:"unaryMinus",category:"Operators",syntax:["-x","unaryMinus(x)"],description:"Inverse the sign of a value. Converts booleans and strings to numbers.",examples:["-4.5","-(-5.6)",'-"22"'],seealso:["add","subtract","unaryPlus"]},unaryPlus:{name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]},xgcd:{name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]},invmod:{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)=NaN","invmod(7, 13)=2","math.invmod(15151, 15122)=10429"],seealso:["gcd","xgcd"]},bitAnd:{name:"bitAnd",category:"Bitwise",syntax:["x & y","bitAnd(x, y)"],description:"Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0",examples:["5 & 3","bitAnd(53, 131)","[1, 12, 31] & 42"],seealso:["bitNot","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]},bitNot:{name:"bitNot",category:"Bitwise",syntax:["~x","bitNot(x)"],description:"Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.",examples:["~1","~2","bitNot([2, -3, 4])"],seealso:["bitAnd","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]},bitOr:{name:"bitOr",category:"Bitwise",syntax:["x | y","bitOr(x, y)"],description:"Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.",examples:["5 | 3","bitOr([1, 2, 3], 4)"],seealso:["bitAnd","bitNot","bitXor","leftShift","rightArithShift","rightLogShift"]},bitXor:{name:"bitXor",category:"Bitwise",syntax:["bitXor(x, y)"],description:"Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.",examples:["bitOr(1, 2)","bitXor([2, 3, 4], 4)"],seealso:["bitAnd","bitNot","bitOr","leftShift","rightArithShift","rightLogShift"]},leftShift:{name:"leftShift",category:"Bitwise",syntax:["x << y","leftShift(x, y)"],description:"Bitwise left logical shift of a value x by y number of bits.",examples:["4 << 1","8 >> 1"],seealso:["bitAnd","bitNot","bitOr","bitXor","rightArithShift","rightLogShift"]},rightArithShift:{name:"rightArithShift",category:"Bitwise",syntax:["x >> y","rightArithShift(x, y)"],description:"Bitwise right arithmetic shift of a value x by y number of bits.",examples:["8 >> 1","4 << 1","-12 >> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightLogShift"]},rightLogShift:{name:"rightLogShift",category:"Bitwise",syntax:["x >>> y","rightLogShift(x, y)"],description:"Bitwise right logical shift of a value x by y number of bits.",examples:["8 >>> 1","4 << 1","-12 >>> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightArithShift"]},bellNumbers:{name:"bellNumbers",category:"Combinatorics",syntax:["bellNumbers(n)"],description:"The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["bellNumbers(3)","bellNumbers(8)"],seealso:["stirlingS2"]},catalan:{name:"catalan",category:"Combinatorics",syntax:["catalan(n)"],description:"The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["catalan(3)","catalan(8)"],seealso:["bellNumbers"]},composition:{name:"composition",category:"Combinatorics",syntax:["composition(n, k)"],description:"The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.",examples:["composition(5, 3)"],seealso:["combinations"]},stirlingS2:{name:"stirlingS2",category:"Combinatorics",syntax:["stirlingS2(n, k)"],description:"he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.",examples:["stirlingS2(5, 3)"],seealso:["bellNumbers"]},config:{name:"config",category:"Core",syntax:["config()","config(options)"],description:"Get configuration or change configuration.",examples:["config()","1/3 + 1/4",'config({number: "Fraction"})',"1/3 + 1/4"],seealso:[]},import:{name:"import",category:"Core",syntax:["import(functions)","import(functions, options)"],description:"Import functions or constants from an object.",examples:["import({myFn: f(x)=x^2, myConstant: 32 })","myFn(2)","myConstant"],seealso:[]},typed:{name:"typed",category:"Core",syntax:["typed(signatures)","typed(name, signatures)"],description:"Create a typed function.",examples:['double = typed({ "number": f(x)=x+x })',"double(2)",'double("hello")'],seealso:[]},arg:{name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 + 3i)"],seealso:["re","im","conj","abs"]},conj:{name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]},re:{name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]},im:{name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]},evaluate:{name:"evaluate",category:"Expression",syntax:["evaluate(expression)","evaluate([expr1, expr2, expr3, ...])"],description:"Evaluate an expression or an array with expressions.",examples:['evaluate("2 + 3")','evaluate("sqrt(" + 4 + ")")'],seealso:[]},help:{name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]},distance:{name:"distance",category:"Geometry",syntax:["distance([x1, y1], [x2, y2])","distance([[x1, y1], [x2, y2]])"],description:"Calculates the Euclidean distance between two points.",examples:["distance([0,0], [4,4])","distance([[0,0], [4,4]])"],seealso:[]},intersect:{name:"intersect",category:"Geometry",syntax:["intersect(expr1, expr2, expr3, expr4)","intersect(expr1, expr2, expr3)"],description:"Computes the intersection point of lines and/or planes.",examples:["intersect([0, 0], [10, 10], [10, 0], [0, 10])","intersect([1, 0, 1], [4, -2, 2], [1, 1, 1, 6])"],seealso:[]},and:{name:"and",category:"Logical",syntax:["x and y","and(x, y)"],description:"Logical and. Test whether two values are both defined with a nonzero/nonempty value.",examples:["true and false","true and true","2 and 4"],seealso:["not","or","xor"]},not:{name:"not",category:"Logical",syntax:["not x","not(x)"],description:"Logical not. Flips the boolean value of given argument.",examples:["not true","not false","not 2","not 0"],seealso:["and","or","xor"]},or:{name:"or",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical or. Test if at least one value is defined with a nonzero/nonempty value.",examples:["true or false","false or false","0 or 4"],seealso:["not","and","xor"]},xor:{name:"xor",category:"Logical",syntax:["x xor y","xor(x, y)"],description:"Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.",examples:["true xor false","false xor false","true xor true","0 xor 4"],seealso:["not","and","or"]},concat:{name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},count:{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"]},cross:{name:"cross",category:"Matrix",syntax:["cross(A, B)"],description:"Calculate the cross product for two vectors in three dimensional space.",examples:["cross([1, 1, 0], [0, 1, 1])","cross([3, -3, 1], [4, 9, 2])","cross([2, 3, 4], [5, 6, 7])"],seealso:["multiply","dot"]},column:{name:"column",category:"Matrix",syntax:["column(x, index)"],description:"Return a column from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","column(A, 1)","column(A, 2)"],seealso:["row","matrixFromColumns"]},ctranspose:{name:"ctranspose",category:"Matrix",syntax:["x'","ctranspose(x)"],description:"Complex Conjugate and Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","ctranspose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]},det:{name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},diag:{name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},diff:{name:"diff",category:"Matrix",syntax:["diff(arr)","diff(arr, dim)"],description:["Create a new matrix or array with the difference of the passed matrix or array.","Dim parameter is optional and used to indicant the dimension of the array/matrix to apply the difference","If no dimension parameter is passed it is assumed as dimension 0","Dimension is zero-based in javascript and one-based in the parser","Arrays must be 'rectangular' meaning arrays like [1, 2]","If something is passed as a matrix it will be returned as a matrix but other than that all matrices are converted to arrays"],examples:["diff([1, 2, 4, 7, 0])","diff([1, 2, 4, 7, 0], 0)","diff(matrix([1, 2, 4, 7, 0]))","diff([[1, 2], [3, 4]])","diff([[1, 2], [3, 4]], 0)","diff([[1, 2], [3, 4]], 1)","diff([[1, 2], [3, 4]], bignumber(1))","diff(matrix([[1, 2], [3, 4]]), 1)","diff([[1, 2], matrix([3, 4])], 1)"],seealso:["subtract","partitionSelect"]},dot:{name:"dot",category:"Matrix",syntax:["dot(A, B)","A * B"],description:"Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn",examples:["dot([2, 4, 1], [2, 2, 3])","[2, 4, 1] * [2, 2, 3]"],seealso:["multiply","cross"]},getMatrixDataType:{name:"getMatrixDataType",category:"Matrix",syntax:["getMatrixDataType(x)"],description:'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".',examples:["getMatrixDataType([1, 2, 3])","getMatrixDataType([[5 cm], [2 inch]])",'getMatrixDataType([1, "text"])',"getMatrixDataType([1, bignumber(4)])"],seealso:["matrix","sparse","typeOf"]},identity:{name:"identity",category:"Matrix",syntax:["identity(n)","identity(m, n)","identity([m, n])"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["identity(3)","identity(3, 5)","a = [1, 2, 3; 4, 5, 6]","identity(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},filter:{name:"filter",category:"Matrix",syntax:["filter(x, test)"],description:"Filter items in a matrix.",examples:["isPositive(x) = x > 0","filter([6, -2, -1, 4, 3], isPositive)","filter([6, -2, 0, 1, 0], x != 0)"],seealso:["sort","map","forEach"]},flatten:{name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]},forEach:{name:"forEach",category:"Matrix",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["numberOfPets = {}","addPet(n) = numberOfPets[n] = (numberOfPets[n] ? numberOfPets[n]:0 ) + 1;",'forEach(["Dog","Cat","Cat"], addPet)',"numberOfPets"],seealso:["map","sort","filter"]},inv:{name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","identity","ones","range","size","squeeze","subset","trace","transpose","zeros"]},pinv:{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"]},eigs:{name:"eigs",category:"Matrix",syntax:["eigs(x)"],description:"Calculate the eigenvalues and eigenvectors of a real symmetric matrix",examples:["eigs([[5, 2.3], [2.3, 1]])"],seealso:["inv"]},kron:{name:"kron",category:"Matrix",syntax:["kron(x, y)"],description:"Calculates the kronecker product of 2 matrices or vectors.",examples:["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])","kron([1,1], [2,3,4])"],seealso:["multiply","dot","cross"]},matrixFromFunction:{name:"matrixFromFunction",category:"Matrix",syntax:["math.matrixFromFunction(size, fn)","math.matrixFromFunction(size, fn, format)","math.matrixFromFunction(size, fn, format, datatype)","math.matrixFromFunction(size, format, fn)","math.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"]},matrixFromRows:{name:"matrixFromRows",category:"Matrix",syntax:["math.matrixFromRows(...arr)","math.matrixFromRows(row1, row2)","math.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"]},matrixFromColumns:{name:"matrixFromColumns",category:"Matrix",syntax:["math.matrixFromColumns(...arr)","math.matrixFromColumns(row1, row2)","math.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"]},map:{name:"map",category:"Matrix",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], square)"],seealso:["filter","forEach"]},ones:{name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","identity","inv","range","size","squeeze","subset","trace","transpose","zeros"]},partitionSelect:{name:"partitionSelect",category:"Matrix",syntax:["partitionSelect(x, k)","partitionSelect(x, k, compare)"],description:"Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.",examples:["partitionSelect([5, 10, 1], 2)",'partitionSelect(["C", "B", "A", "D"], 1)'],seealso:["sort"]},range:{name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","identity","inv","ones","size","squeeze","subset","trace","transpose","zeros"]},resize:{name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze","reshape"]},reshape:{name:"reshape",category:"Matrix",syntax:["reshape(x, sizes)"],description:"Reshape a multi dimensional array to fit the specified dimensions.",examples:["reshape([1, 2, 3, 4, 5, 6], [2, 3])","reshape([[1, 2], [3, 4]], [1, 4])","reshape([[1, 2], [3, 4]], [4])"],seealso:["size","squeeze","resize"]},rotate:{name:"rotate",category:"Matrix",syntax:["rotate(w, theta)","rotate(w, theta, v)"],description:"Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.",examples:["rotate([1, 0], math.pi / 2)",'rotate(matrix([1, 0]), unit("35deg"))','rotate([1, 0, 0], unit("90deg"), [0, 0, 1])','rotate(matrix([1, 0, 0]), unit("90deg"), matrix([0, 0, 1]))'],seealso:["matrix","rotationMatrix"]},rotationMatrix:{name:"rotationMatrix",category:"Matrix",syntax:["rotationMatrix(theta)","rotationMatrix(theta, v)","rotationMatrix(theta, v, format)"],description:"Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.",examples:["rotationMatrix(pi / 2)",'rotationMatrix(unit("45deg"), [0, 0, 1])','rotationMatrix(1, matrix([0, 0, 1]), "sparse")'],seealso:["cos","sin"]},row:{name:"row",category:"Matrix",syntax:["row(x, index)"],description:"Return a row from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","row(A, 1)","row(A, 2)"],seealso:["column","matrixFromRows"]},size:{name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","count","det","diag","identity","inv","ones","range","squeeze","subset","trace","transpose","zeros"]},sort:{name:"sort",category:"Matrix",syntax:["sort(x)","sort(x, compare)"],description:'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.',examples:["sort([5, 10, 1])",'sort(["C", "B", "A", "D"])',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)','sort(["10", "1", "2"], "natural")'],seealso:["map","filter","forEach"]},squeeze:{name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","identity","inv","ones","range","size","subset","trace","transpose","zeros"]},subset:{name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of 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"]},trace:{name:"trace",category:"Matrix",syntax:["trace(A)"],description:"Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.",examples:["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]","trace(A)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","transpose","zeros"]},transpose:{name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]},zeros:{name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose"]},fft:{name:"fft",category:"Matrix",syntax:["fft(x)"],description:"Calculate N-dimensional fourier transform",examples:["fft([[1, 0], [1, 0]])"],seealso:["ifft"]},ifft:{name:"ifft",category:"Matrix",syntax:["ifft(x)"],description:"Calculate N-dimensional inverse fourier transform",examples:["ifft([[2, 2], [0, 0]])"],seealso:["fft"]},combinations:{name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["combinationsWithRep","permutations","factorial"]},combinationsWithRep:{name:"combinationsWithRep",category:"Probability",syntax:["combinationsWithRep(n, k)"],description:"Compute the number of combinations of n items taken k at a time with replacements.",examples:["combinationsWithRep(7, 5)"],seealso:["combinations","permutations","factorial"]},factorial:{name:"factorial",category:"Probability",syntax:["n!","factorial(n)"],description:"Compute the factorial of a value",examples:["5!","5 * 4 * 3 * 2 * 1","3!"],seealso:["combinations","combinationsWithRep","permutations","gamma"]},gamma:{name:"gamma",category:"Probability",syntax:["gamma(n)"],description:"Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.",examples:["gamma(4)","3!","gamma(1/2)","sqrt(pi)"],seealso:["factorial"]},kldivergence:{name:"kldivergence",category:"Probability",syntax:["kldivergence(x, y)"],description:"Calculate the Kullback-Leibler (KL) divergence between two distributions.",examples:["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"],seealso:[]},lgamma:{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(math.i)","lgamma(complex(1.1, 2))"],seealso:["gamma"]},multinomial:{name:"multinomial",category:"Probability",syntax:["multinomial(A)"],description:"Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.",examples:["multinomial([1, 2, 1])"],seealso:["combinations","factorial"]},permutations:{name:"permutations",category:"Probability",syntax:["permutations(n)","permutations(n, k)"],description:"Compute the number of permutations of n items taken k at a time",examples:["permutations(5)","permutations(5, 3)"],seealso:["combinations","combinationsWithRep","factorial"]},pickRandom:{name:"pickRandom",category:"Probability",syntax:["pickRandom(array)","pickRandom(array, number)","pickRandom(array, weights)","pickRandom(array, number, weights)","pickRandom(array, weights, number)"],description:"Pick a random entry from a given array.",examples:["pickRandom(0:10)","pickRandom([1, 3, 1, 6])","pickRandom([1, 3, 1, 6], 2)","pickRandom([1, 3, 1, 6], [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"],seealso:["random","randomInt"]},random:{name:"random",category:"Probability",syntax:["random()","random(max)","random(min, max)","random(size)","random(size, max)","random(size, min, max)"],description:"Return a random number.",examples:["random()","random(10, 20)","random([2, 3])"],seealso:["pickRandom","randomInt"]},randomInt:{name:"randomInt",category:"Probability",syntax:["randomInt(max)","randomInt(min, max)","randomInt(size)","randomInt(size, max)","randomInt(size, min, max)"],description:"Return a random integer number",examples:["randomInt(10, 20)","randomInt([2, 3], 10)"],seealso:["pickRandom","random"]},compare:{name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compareNatural","compareText"]},compareNatural:{name:"compareNatural",category:"Relational",syntax:["compareNatural(x, y)"],description:"Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compareNatural(2, 3)","compareNatural(3, 2)","compareNatural(2, 2)","compareNatural(5cm, 40mm)",'compareNatural("2", "10")',"compareNatural(2 + 3i, 2 + 4i)","compareNatural([1, 2, 4], [1, 2, 3])","compareNatural([1, 5], [1, 2, 3])","compareNatural([1, 2], [1, 2])","compareNatural({a: 2}, {a: 4})"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare","compareText"]},compareText:{name:"compareText",category:"Relational",syntax:["compareText(x, y)"],description:"Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:['compareText("B", "A")','compareText("A", "B")','compareText("A", "A")','compareText("2", "10")','compare("2", "10")',"compare(2, 10)",'compareNatural("2", "10")','compareText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural"]},deepEqual:{name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["deepEqual([1,3,4], [1,3,4])","deepEqual([1,3,4], [1,3])"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]},equal:{name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual","equalText"]},equalText:{name:"equalText",category:"Relational",syntax:["equalText(x, y)"],description:"Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.",examples:['equalText("Hello", "Hello")','equalText("a", "A")','equal("2e3", "2000")','equalText("2e3", "2000")','equalText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural","compareText","equal"]},larger:{name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]},largerEq:{name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 >= 1+1","2 > 1+1","a = 3.2","b = 6-2.8","(a >= b)"],seealso:["equal","unequal","smallerEq","smaller","compare"]},smaller:{name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]},smallerEq:{name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 <= 1+1","2 < 1+1","a = 3.2","b = 6-2.8","(a <= b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]},unequal:{name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]},setCartesian:{name:"setCartesian",category:"Set",syntax:["setCartesian(set1, set2)"],description:"Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays and the values will be sorted in ascending order before the operation.",examples:["setCartesian([1, 2], [3, 4])"],seealso:["setUnion","setIntersect","setDifference","setPowerset"]},setDifference:{name:"setDifference",category:"Set",syntax:["setDifference(set1, set2)"],description:"Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setDifference([1, 2, 3, 4], [3, 4, 5, 6])","setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setSymDifference"]},setDistinct:{name:"setDistinct",category:"Set",syntax:["setDistinct(set)"],description:"Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setDistinct([1, 1, 1, 2, 2, 3])"],seealso:["setMultiplicity"]},setIntersect:{name:"setIntersect",category:"Set",syntax:["setIntersect(set1, set2)"],description:"Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])","setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setDifference"]},setIsSubset:{name:"setIsSubset",category:"Set",syntax:["setIsSubset(set1, set2)"],description:"Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIsSubset([1, 2], [3, 4, 5, 6])","setIsSubset([3, 4], [3, 4, 5, 6])"],seealso:["setUnion","setIntersect","setDifference"]},setMultiplicity:{name:"setMultiplicity",category:"Set",syntax:["setMultiplicity(element, set)"],description:"Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setMultiplicity(1, [1, 2, 2, 4])","setMultiplicity(2, [1, 2, 2, 4])"],seealso:["setDistinct","setSize"]},setPowerset:{name:"setPowerset",category:"Set",syntax:["setPowerset(set)"],description:"Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setPowerset([1, 2, 3])"],seealso:["setCartesian"]},setSize:{name:"setSize",category:"Set",syntax:["setSize(set)","setSize(set, unique)"],description:'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.',examples:["setSize([1, 2, 2, 4])","setSize([1, 2, 2, 4], true)"],seealso:["setUnion","setIntersect","setDifference"]},setSymDifference:{name:"setSymDifference",category:"Set",syntax:["setSymDifference(set1, set2)"],description:"Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])","setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setDifference"]},setUnion:{name:"setUnion",category:"Set",syntax:["setUnion(set1, set2)"],description:"Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setUnion([1, 2, 3, 4], [3, 4, 5, 6])","setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setIntersect","setDifference"]},erf:{name:"erf",category:"Special",syntax:["erf(x)"],description:"Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x",examples:["erf(0.2)","erf(-0.5)","erf(4)"],seealso:[]},cumsum:{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"]},mad:{name:"mad",category:"Statistics",syntax:["mad(a, b, c, ...)","mad(A)"],description:"Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.",examples:["mad(10, 20, 30)","mad([1, 2, 3])"],seealso:["mean","median","std","abs"]},max:{name:"max",category:"Statistics",syntax:["max(a, b, c, ...)","max(A)","max(A, dim)"],description:"Compute the maximum value of a list of values.",examples:["max(2, 3, 4, 1)","max([2, 3, 4, 1])","max([2, 5; 4, 3])","max([2, 5; 4, 3], 1)","max([2, 5; 4, 3], 2)","max(2.7, 7.1, -4.5, 2.0, 4.1)","min(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["mean","median","min","prod","std","sum","variance"]},mean:{name:"mean",category:"Statistics",syntax:["mean(a, b, c, ...)","mean(A)","mean(A, dim)"],description:"Compute the arithmetic mean of a list of values.",examples:["mean(2, 3, 4, 1)","mean([2, 3, 4, 1])","mean([2, 5; 4, 3])","mean([2, 5; 4, 3], 1)","mean([2, 5; 4, 3], 2)","mean([1.0, 2.7, 3.2, 4.0])"],seealso:["max","median","min","prod","std","sum","variance"]},median:{name:"median",category:"Statistics",syntax:["median(a, b, c, ...)","median(A)"],description:"Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.",examples:["median(5, 2, 7)","median([3, -1, 5, 7])"],seealso:["max","mean","min","prod","std","sum","variance","quantileSeq"]},min:{name:"min",category:"Statistics",syntax:["min(a, b, c, ...)","min(A)","min(A, dim)"],description:"Compute the minimum value of a list of values.",examples:["min(2, 3, 4, 1)","min([2, 3, 4, 1])","min([2, 5; 4, 3])","min([2, 5; 4, 3], 1)","min([2, 5; 4, 3], 2)","min(2.7, 7.1, -4.5, 2.0, 4.1)","max(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["max","mean","median","prod","std","sum","variance"]},mode:{name:"mode",category:"Statistics",syntax:["mode(a, b, c, ...)","mode(A)","mode(A, a, b, B, c, ...)"],description:"Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.",examples:["mode(2, 1, 4, 3, 1)","mode([1, 2.7, 3.2, 4, 2.7])","mode(1, 4, 6, 1, 6)"],seealso:["max","mean","min","median","prod","std","sum","variance"]},prod:{name:"prod",category:"Statistics",syntax:["prod(a, b, c, ...)","prod(A)"],description:"Compute the product of all values.",examples:["prod(2, 3, 4)","prod([2, 3, 4])","prod([2, 5; 4, 3])"],seealso:["max","mean","min","median","min","std","sum","variance"]},quantileSeq:{name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:"Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. \n\nIn case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.",examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","variance"]},std:{name:"std",category:"Statistics",syntax:["std(a, b, c, ...)","std(A)","std(A, normalization)"],description:'Compute the standard deviation of all values, defined as std(A) = sqrt(variance(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["std(2, 4, 6)","std([2, 4, 6, 8])",'std([2, 4, 6, 8], "uncorrected")','std([2, 4, 6, 8], "biased")',"std([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","prod","sum","variance"]},sum:{name:"sum",category:"Statistics",syntax:["sum(a, b, c, ...)","sum(A)"],description:"Compute the sum of all values.",examples:["sum(2, 3, 4, 1)","sum([2, 3, 4, 1])","sum([2, 5; 4, 3])"],seealso:["max","mean","median","min","prod","std","sum","variance"]},variance:{name:"variance",category:"Statistics",syntax:["variance(a, b, c, ...)","variance(A)","variance(A, normalization)"],description:'Compute the variance of all values. Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["variance(2, 4, 6)","variance([2, 4, 6, 8])",'variance([2, 4, 6, 8], "uncorrected")','variance([2, 4, 6, 8], "biased")',"variance([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","min","prod","std","sum"]},acos:{name:"acos",category:"Trigonometry",syntax:["acos(x)"],description:"Compute the inverse cosine of a value in radians.",examples:["acos(0.5)","acos(cos(2.3))"],seealso:["cos","atan","asin"]},acosh:{name:"acosh",category:"Trigonometry",syntax:["acosh(x)"],description:"Calculate the hyperbolic arccos of a value, defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.",examples:["acosh(1.5)"],seealso:["cosh","asinh","atanh"]},acot:{name:"acot",category:"Trigonometry",syntax:["acot(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acot(0.5)","acot(cot(0.5))","acot(2)"],seealso:["cot","atan"]},acoth:{name:"acoth",category:"Trigonometry",syntax:["acoth(x)"],description:"Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.",examples:["acoth(2)","acoth(0.5)"],seealso:["acsch","asech"]},acsc:{name:"acsc",category:"Trigonometry",syntax:["acsc(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acsc(2)","acsc(csc(0.5))","acsc(0.5)"],seealso:["csc","asin","asec"]},acsch:{name:"acsch",category:"Trigonometry",syntax:["acsch(x)"],description:"Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.",examples:["acsch(0.5)"],seealso:["asech","acoth"]},asec:{name:"asec",category:"Trigonometry",syntax:["asec(x)"],description:"Calculate the inverse secant of a value.",examples:["asec(0.5)","asec(sec(0.5))","asec(2)"],seealso:["acos","acot","acsc"]},asech:{name:"asech",category:"Trigonometry",syntax:["asech(x)"],description:"Calculate the inverse secant of a value.",examples:["asech(0.5)"],seealso:["acsch","acoth"]},asin:{name:"asin",category:"Trigonometry",syntax:["asin(x)"],description:"Compute the inverse sine of a value in radians.",examples:["asin(0.5)","asin(sin(0.5))"],seealso:["sin","acos","atan"]},asinh:{name:"asinh",category:"Trigonometry",syntax:["asinh(x)"],description:"Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.",examples:["asinh(0.5)"],seealso:["acosh","atanh"]},atan:{name:"atan",category:"Trigonometry",syntax:["atan(x)"],description:"Compute the inverse tangent of a value in radians.",examples:["atan(0.5)","atan(tan(0.5))"],seealso:["tan","acos","asin"]},atanh:{name:"atanh",category:"Trigonometry",syntax:["atanh(x)"],description:"Calculate the hyperbolic arctangent of a value, defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.",examples:["atanh(0.5)"],seealso:["acosh","asinh"]},atan2:{name:"atan2",category:"Trigonometry",syntax:["atan2(y, x)"],description:"Computes the principal value of the arc tangent of y/x in radians.",examples:["atan2(2, 2) / pi","angle = 60 deg in rad","x = cos(angle)","y = sin(angle)","atan2(y, x)"],seealso:["sin","cos","tan"]},cos:{name:"cos",category:"Trigonometry",syntax:["cos(x)"],description:"Compute the cosine of x in radians.",examples:["cos(2)","cos(pi / 4) ^ 2","cos(180 deg)","cos(60 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["acos","sin","tan"]},cosh:{name:"cosh",category:"Trigonometry",syntax:["cosh(x)"],description:"Compute the hyperbolic cosine of x in radians.",examples:["cosh(0.5)"],seealso:["sinh","tanh","coth"]},cot:{name:"cot",category:"Trigonometry",syntax:["cot(x)"],description:"Compute the cotangent of x in radians. Defined as 1/tan(x)",examples:["cot(2)","1 / tan(2)"],seealso:["sec","csc","tan"]},coth:{name:"coth",category:"Trigonometry",syntax:["coth(x)"],description:"Compute the hyperbolic cotangent of x in radians.",examples:["coth(2)","1 / tanh(2)"],seealso:["sech","csch","tanh"]},csc:{name:"csc",category:"Trigonometry",syntax:["csc(x)"],description:"Compute the cosecant of x in radians. Defined as 1/sin(x)",examples:["csc(2)","1 / sin(2)"],seealso:["sec","cot","sin"]},csch:{name:"csch",category:"Trigonometry",syntax:["csch(x)"],description:"Compute the hyperbolic cosecant of x in radians. Defined as 1/sinh(x)",examples:["csch(2)","1 / sinh(2)"],seealso:["sech","coth","sinh"]},sec:{name:"sec",category:"Trigonometry",syntax:["sec(x)"],description:"Compute the secant of x in radians. Defined as 1/cos(x)",examples:["sec(2)","1 / cos(2)"],seealso:["cot","csc","cos"]},sech:{name:"sech",category:"Trigonometry",syntax:["sech(x)"],description:"Compute the hyperbolic secant of x in radians. Defined as 1/cosh(x)",examples:["sech(2)","1 / cosh(2)"],seealso:["coth","csch","cosh"]},sin:{name:"sin",category:"Trigonometry",syntax:["sin(x)"],description:"Compute the sine of x in radians.",examples:["sin(2)","sin(pi / 4) ^ 2","sin(90 deg)","sin(30 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["asin","cos","tan"]},sinh:{name:"sinh",category:"Trigonometry",syntax:["sinh(x)"],description:"Compute the hyperbolic sine of x in radians.",examples:["sinh(0.5)"],seealso:["cosh","tanh"]},tan:{name:"tan",category:"Trigonometry",syntax:["tan(x)"],description:"Compute the tangent of x in radians.",examples:["tan(0.5)","sin(0.5) / cos(0.5)","tan(pi / 4)","tan(45 deg)"],seealso:["atan","sin","cos"]},tanh:{name:"tanh",category:"Trigonometry",syntax:["tanh(x)"],description:"Compute the hyperbolic tangent of x in radians.",examples:["tanh(0.5)","sinh(0.5) / cosh(0.5)"],seealso:["sinh","cosh"]},to:{name:"to",category:"Units",syntax:["x to unit","to(x, unit)"],description:"Change the unit of a value.",examples:["5 inch to cm","3.2kg to g","16 bytes in bits"],seealso:[]},clone:{name:"clone",category:"Utils",syntax:["clone(x)"],description:"Clone a variable. Creates a copy of primitive variables,and a deep copy of matrices",examples:["clone(3.5)","clone(2 - 4i)","clone(45 deg)","clone([1, 2; 3, 4])",'clone("hello world")'],seealso:[]},format:{name:"format",category:"Utils",syntax:["format(value)","format(value, precision)"],description:"Format a value of any type as string.",examples:["format(2.3)","format(3 - 4i)","format([])","format(pi, 3)"],seealso:["print"]},bin:{name:"bin",category:"Utils",syntax:["bin(value)"],description:"Format a number as binary",examples:["bin(2)"],seealso:["oct","hex"]},oct:{name:"oct",category:"Utils",syntax:["oct(value)"],description:"Format a number as octal",examples:["oct(56)"],seealso:["bin","hex"]},hex:{name:"hex",category:"Utils",syntax:["hex(value)"],description:"Format a number as hexadecimal",examples:["hex(240)"],seealso:["bin","oct"]},isNaN:{name:"isNaN",category:"Utils",syntax:["isNaN(x)"],description:"Test whether a value is NaN (not a number)",examples:["isNaN(2)","isNaN(0 / 0)","isNaN(NaN)","isNaN(Infinity)"],seealso:["isNegative","isNumeric","isPositive","isZero"]},isInteger:{name:"isInteger",category:"Utils",syntax:["isInteger(x)"],description:"Test whether a value is an integer number.",examples:["isInteger(2)","isInteger(3.5)","isInteger([3, 0.5, -2])"],seealso:["isNegative","isNumeric","isPositive","isZero"]},isNegative:{name:"isNegative",category:"Utils",syntax:["isNegative(x)"],description:"Test whether a value is negative: smaller than zero.",examples:["isNegative(2)","isNegative(0)","isNegative(-4)","isNegative([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isPositive","isZero"]},isNumeric:{name:"isNumeric",category:"Utils",syntax:["isNumeric(x)"],description:"Test whether a value is a numeric value. Returns true when the input is a number, BigNumber, Fraction, or boolean.",examples:["isNumeric(2)",'isNumeric("2")','hasNumericValue("2")',"isNumeric(0)","isNumeric(bignumber(500))","isNumeric(fraction(0.125))","isNumeric(2 + 3i)",'isNumeric([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive","isNaN","hasNumericValue"]},hasNumericValue:{name:"hasNumericValue",category:"Utils",syntax:["hasNumericValue(x)"],description:"Test whether a value is an numeric value. In case of a string, true is returned if the string contains a numeric value.",examples:["hasNumericValue(2)",'hasNumericValue("2")','isNumeric("2")',"hasNumericValue(0)","hasNumericValue(bignumber(500))","hasNumericValue(fraction(0.125))","hasNumericValue(2 + 3i)",'hasNumericValue([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive","isNaN","isNumeric"]},isPositive:{name:"isPositive",category:"Utils",syntax:["isPositive(x)"],description:"Test whether a value is positive: larger than zero.",examples:["isPositive(2)","isPositive(0)","isPositive(-4)","isPositive([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isNegative","isZero"]},isPrime:{name:"isPrime",category:"Utils",syntax:["isPrime(x)"],description:"Test whether a value is prime: has no divisors other than itself and one.",examples:["isPrime(3)","isPrime(-2)","isPrime([2, 17, 100])"],seealso:["isInteger","isNumeric","isNegative","isZero"]},isZero:{name:"isZero",category:"Utils",syntax:["isZero(x)"],description:"Test whether a value is zero.",examples:["isZero(2)","isZero(0)","isZero(-4)","isZero([3, 0, -2, 0])"],seealso:["isInteger","isNumeric","isNegative","isPositive"]},print:{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: $0, $1, $2", [6, 9, 4])'],seealso:["format"]},typeOf:{name:"typeOf",category:"Utils",syntax:["typeOf(x)"],description:"Get the type of a variable.",examples:["typeOf(3.5)","typeOf(2 - 4i)","typeOf(45 deg)",'typeOf("hello world")'],seealso:["getMatrixDataType"]},numeric:{name:"numeric",category:"Utils",syntax:["numeric(x)"],description:"Convert a numeric input to a specific numeric type: number, BigNumber, or Fraction.",examples:['numeric("4")','numeric("4", "number")','numeric("4", "BigNumber")','numeric("4", "Fraction)','numeric(4, "Fraction")','numeric(fraction(2, 5), "number)'],seealso:["number","fraction","bignumber","string","format"]}},Uu=Qe("help",["typed","mathWithTransform","Help"],(function(e){var t=e.typed,r=e.mathWithTransform,n=e.Help;return t("help",{any:function(e){var t,i=e;if("string"!=typeof e)for(t in r)if(Je(r,t)&&e===r[t]){i=t;break}var a=at(Fu,i);if(!a){var o="function"==typeof i?i.name:i;throw new Error('No documentation found on "'+o+'"')}return new n(a)}})})),Lu=Qe("chain",["typed","Chain"],(function(e){var t=e.typed,r=e.Chain;return t("chain",{"":function(){return new r},any:function(e){return new r(e)}})})),$u=Qe("det",["typed","matrix","subtract","multiply","divideScalar","isZero","unaryMinus"],(function(e){var t=e.typed,r=e.matrix,n=e.subtract,i=e.multiply,a=e.divideScalar,o=e.isZero,s=e.unaryMinus;return t("det",{any:function(e){return He(e)},"Array | Matrix":function(e){var t;switch((t=m(e)?e.size():Array.isArray(e)?(e=r(e)).size():[]).length){case 0:return He(e);case 1:if(1===t[0])return He(e.valueOf()[0]);throw new RangeError("Matrix must be square (size: "+xe(t)+")");case 2:var u=t[0],c=t[1];if(u===c)return function(e,t,r){if(1===t)return He(e[0][0]);if(2===t)return n(i(e[0][0],e[1][1]),i(e[1][0],e[0][1]));for(var u=!1,c=new Array(t).fill(0).map((function(e,t){return t})),f=0;f<t;f++){var l=c[f];if(o(e[l][f])){var p=void 0;for(p=f+1;p<t;p++)if(!o(e[c[p]][f])){l=c[p],c[p]=c[f],c[f]=l,u=!u;break}if(p===t)return e[l][f]}for(var m=e[l][f],h=0===f?1:e[c[f-1]][f-1],d=f+1;d<t;d++)for(var v=c[d],y=f+1;y<t;y++)e[v][y]=a(n(i(e[v][y],m),i(e[v][f],e[l][y])),h)}var g=e[c[t-1]][t-1];return u?s(g):g}(e.clone().valueOf(),u);throw new RangeError("Matrix must be square (size: "+xe(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+xe(t)+")")}}})})),Hu=Qe("inv",["typed","matrix","divideScalar","addScalar","multiply","unaryMinus","det","identity","abs"],(function(e){var t=e.typed,r=e.matrix,n=e.divideScalar,i=e.addScalar,a=e.multiply,o=e.unaryMinus,s=e.det,u=e.identity,c=e.abs;return t("inv",{"Array | Matrix":function(e){var t=m(e)?e.size():Se(e);switch(t.length){case 1:if(1===t[0])return m(e)?r([n(1,e.valueOf()[0])]):[n(1,e[0])];throw new RangeError("Matrix must be square (size: "+xe(t)+")");case 2:var i=t[0],a=t[1];if(i===a)return m(e)?r(f(e.valueOf(),i,a),e.storage()):f(e,i,a);throw new RangeError("Matrix must be square (size: "+xe(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+xe(t)+")")}},any:function(e){return n(1,e)}});function f(e,t,r){var f,l,p,m,h;if(1===t){if(0===(m=e[0][0]))throw Error("Cannot calculate inverse, determinant is zero");return[[n(1,m)]]}if(2===t){var d=s(e);if(0===d)throw Error("Cannot calculate inverse, determinant is zero");return[[n(e[1][1],d),n(o(e[0][1]),d)],[n(o(e[1][0]),d),n(e[0][0],d)]]}var v=e.concat();for(f=0;f<t;f++)v[f]=v[f].concat();for(var y=u(t).valueOf(),g=0;g<r;g++){var x=c(v[g][g]),b=g;for(f=g+1;f<t;)c(v[f][g])>x&&(x=c(v[f][g]),b=f),f++;if(0===x)throw Error("Cannot calculate inverse, determinant is zero");(f=b)!==g&&(h=v[g],v[g]=v[f],v[f]=h,h=y[g],y[g]=y[f],y[f]=h);var w=v[g],N=y[g];for(f=0;f<t;f++){var M=v[f],E=y[f];if(f!==g){if(0!==M[g]){for(p=n(o(M[g]),w[g]),l=g;l<r;l++)M[l]=i(M[l],a(p,w[l]));for(l=0;l<r;l++)E[l]=i(E[l],a(p,N[l]))}}else{for(p=w[g],l=g;l<r;l++)M[l]=n(M[l],p);for(l=0;l<r;l++)E[l]=n(E[l],p)}}}return y}})),Gu=Qe("pinv",["typed","matrix","inv","deepEqual","equal","dotDivide","dot","ctranspose","divideScalar","multiply","add","Complex"],(function(e){var t=e.typed,r=e.matrix,n=e.inv,i=e.deepEqual,a=e.equal,o=e.dotDivide,s=e.dot,u=e.ctranspose,c=e.divideScalar,f=e.multiply,l=e.add,p=e.Complex;return t("pinv",{"Array | Matrix":function(e){var t=m(e)?e.size():Se(e);switch(t.length){case 1:return v(e)?u(e):1===t[0]?n(e):o(u(e),s(e,e));case 2:if(v(e))return u(e);var i=t[0],a=t[1];if(i===a)try{return n(e)}catch(e){if(!(e instanceof Error&&e.message.match(/Cannot calculate inverse, determinant is zero/)))throw e}return m(e)?r(h(e.valueOf(),i,a),e.storage()):h(e,i,a);default:throw new RangeError("Matrix must be two dimensional (size: "+xe(t)+")")}},any:function(e){return a(e,0)?He(e):c(1,e)}});function h(e,t,r){var i=function(e,t,r){var n=function(e,t,r){for(var n=He(e),i=0,a=0;a<t;a++){if(r<=i)return n;for(var s=a;d(n[s][i]);)if(s++,t===s&&(s=a,i++,r===i))return n;var u=[n[a],n[s]];n[s]=u[0],n[a]=u[1];for(var c=n[a][i],p=0;p<r;p++)n[a][p]=o(n[a][p],c);for(var m=0;m<t;m++)if(m!==a){c=n[m][i];for(var h=0;h<r;h++)n[m][h]=l(n[m][h],f(-1,f(c,n[a][h])))}i++}return n}(e,t,r),i=e.map((function(e,r){return e.filter((function(e,r){return r<t&&!d(s(n[r],n[r]))}))})),a=n.filter((function(e,t){return!d(s(n[t],n[t]))}));return{C:i,F:a}}(e,t,r),a=i.C,c=i.F,p=f(n(f(u(a),a)),u(a)),m=f(u(c),n(f(c,u(c))));return f(m,p)}function d(e){return a(l(e,p(1,1)),l(0,p(1,1)))}function v(e){return i(l(e,p(1,1)),l(f(e,0),p(1,1)))}}));function Vu(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(!e)return;if("string"==typeof e)return Zu(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return Zu(e,t)}(e))||t&&e&&"number"==typeof e.length){r&&(e=r);var n=0,i=function(){};return{s:i,n:function(){return n>=e.length?{done:!0}:{done:!1,value:e[n++]}},e:function(e){throw e},f:i}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var a,o=!0,s=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){s=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(s)throw a}}}}function Zu(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}function Wu(e){var t=e.addScalar,r=e.subtract,n=e.flatten,i=e.multiply,a=e.multiplyScalar,o=e.divideScalar,s=e.sqrt,u=e.abs,c=e.bignumber,f=e.diag,l=e.inv,p=e.qr,m=e.usolve,h=e.usolveAll,d=e.equal,v=e.complex,y=e.larger,g=e.smaller,x=e.matrixFromColumns,b=e.dot;function w(e,t,n,i,a,o,s,f){var l="BigNumber"===f,p="Complex"===f,m=l?c(0):p?v(0):0,h=l?c(1):p?v(1):1;if(g(u(n),s))return[[h,m],[m,h]];if(y(u(r(a,o)),s))return[[r(a,i),r(o,i)],[n,n]];var d=r(e,a),x=r(t,a),b=r(n,a),w=r(i,a);return g(u(x),s)?[[d,h],[b,m]]:[[x,m],[w,h]]}function N(e,t){for(var r=0;r<e.length;r++){var n;(n=e[r]).push.apply(n,sa()(Array(t-e[r].length).fill(0)))}for(var i=e.length;i<t;i++)e.push(Array(t).fill(0)),e[i][i]=1;return e}function M(e,t,r){for(var n=0;n<e.length;n++)if(r(e[n],t))return n;return-1}function E(e,t,r,n,i){for(var a,o="BigNumber"===i?c(1e3):1e3,s=0;a=S(t,r,i),a=m(e,a),!y(O(a),o);)if(++s>=5)return null;for(s=0;;){var u=m(e,a);if(g(O(A(a,[u])),n))break;if(++s>=10)return null;a=C(u)}return a}function S(e,t,r){var n="BigNumber"===r,i="Complex"===r,a=Array(e).fill(0).map((function(e){return 2*Math.random()-1}));return n&&(a=a.map((function(e){return c(e)}))),i&&(a=a.map((function(e){return v(e)}))),C(a=A(a,t),r)}function A(e,t){var n,a=Vu(t);try{for(a.s();!(n=a.n()).done;){var s=n.value;e=r(e,i(o(b(s,e),b(s,s)),s))}}catch(e){a.e(e)}finally{a.f()}return e}function O(e){return u(s(b(e,e)))}function C(e,t){var r="Complex"===t,n="BigNumber"===t?c(1):r?v(1):1;return i(o(n,O(e)),e)}return function(e,m,b,S,A){void 0===A&&(A=!0);var O=function(e,r,n,i,s){var l,p="BigNumber"===i,m="Complex"===i,h=p?c(0):0,x=p?c(1):m?v(1):1,b=p?c(1):1,w=p?c(10):2,N=a(w,w);s&&(l=Array(r).fill(x));var M=!1;for(;!M;){M=!0;for(var E=0;E<r;E++){for(var S=h,A=h,O=0;O<r;O++)if(E!==O){var C=u(e[E][O]);S=t(S,C),A=t(A,C)}if(!d(S,0)&&!d(A,0)){for(var T=b,_=S,I=o(A,w),k=a(A,w);g(_,I);)_=a(_,N),T=a(T,w);for(;y(_,k);)_=o(_,N),T=o(T,w);if(g(o(t(_,A),T),a(t(S,A),.95))){M=!1;for(var z=o(1,T),R=0;R<r;R++)E!==R&&(e[E][R]=a(e[E][R],T),e[R][E]=a(e[R][E],z));s&&(l[E]=a(l[E],T))}}}}return f(l)}(e,m,0,S,A);!function(e,n,i,s,f,l){var p="BigNumber"===s,m="Complex"===s,h=p?c(0):m?v(0):0;p&&(i=c(i));for(var d=0;d<n-2;d++){for(var y=0,x=h,b=d+1;b<n;b++){var w=e[b][d];g(u(x),u(w))&&(x=w,y=b)}if(!g(u(x),i)){if(y!==d+1){var N=e[y];e[y]=e[d+1],e[d+1]=N;for(var M=0;M<n;M++){var E=e[M][y];e[M][y]=e[M][d+1],e[M][d+1]=E}if(f){var S=l[y];l[y]=l[d+1],l[d+1]=S}}for(var A=d+2;A<n;A++){var O=o(e[A][d],x);if(0!==O){for(var C=0;C<n;C++)e[A][C]=r(e[A][C],a(O,e[d+1][C]));for(var T=0;T<n;T++)e[T][d+1]=t(e[T][d+1],a(O,e[T][A]));if(f)for(var _=0;_<n;_++)l[A][_]=r(l[A][_],a(O,l[d+1][_]))}}}}}(e,m,b,S,A,O);var C,T=function(e,n,o,l,m){var h="BigNumber"===l,d="Complex"===l,y=h?c(1):d?v(1):1;h&&(o=c(o));var x=He(e),b=[],M=n,E=[],S=m?f(Array(n).fill(y)):void 0,A=m?f(Array(M).fill(y)):void 0,O=0;for(;O<=100;){O+=1;for(var C=0;C<M;C++)x[C][C]=r(x[C][C],0);var T=p(x),_=T.Q,I=T.R;x=i(I,_);for(var k=0;k<M;k++)x[k][k]=t(x[k][k],0);if(m&&(A=i(A,_)),1===M||g(u(x[M-1][M-2]),o)){O=0,b.push(x[M-1][M-1]),m&&(E.unshift([[1]]),N(A,n),S=i(S,A),M>1&&(A=f(Array(M-1).fill(y)))),M-=1,x.pop();for(var z=0;z<M;z++)x[z].pop()}else if(2===M||g(u(x[M-2][M-3]),o)){O=0;var R=(B=x[M-2][M-2],D=x[M-2][M-1],j=x[M-1][M-2],P=x[M-1][M-1],F=void 0,U=void 0,L=void 0,$=void 0,F=t(B,P),U=r(a(B,P),a(D,j)),L=a(F,.5),$=a(s(r(a(F,F),a(4,U))),.5),[t(L,$),r(L,$)]);b.push.apply(b,sa()(R)),m&&(E.unshift(w(x[M-2][M-2],x[M-2][M-1],x[M-1][M-2],x[M-1][M-1],R[0],R[1],o,l)),N(A,n),S=i(S,A),M>2&&(A=f(Array(M-2).fill(y)))),M-=2,x.pop(),x.pop();for(var q=0;q<M;q++)x[q].pop(),x[q].pop()}if(0===M)break}var B,D,j,P,F,U,L,$;if(b.sort((function(e,t){return+r(u(e),u(t))})),O>100){var H=Error("The eigenvalues failed to converge. Only found these eigenvalues: "+b.join(", "));throw H.values=b,H.vectors=[],H}var G=m?i(S,function(e,t){for(var r=[],n=0;n<t;n++)r[n]=Array(t).fill(0);var i,a=0,o=Vu(e);try{for(o.s();!(i=o.n()).done;){for(var s=i.value,u=s.length,c=0;c<u;c++)for(var f=0;f<u;f++)r[a+c][a+f]=s[c][f];a+=u}}catch(e){o.e(e)}finally{o.f()}return r}(E,n)):void 0;return{values:b,C:G}}(e,m,b,S,A),_=T.values,I=T.C;return A&&(C=function(e,t,a,o,s,u,p){var m,y=l(a),g=i(y,e,a),x="BigNumber"===p,b="Complex"===p,w=x?c(0):b?v(0):0,N=x?c(1):b?v(1):1,S=[],A=[],O=Vu(s);try{for(O.s();!(m=O.n()).done;){var C=m.value,T=M(S,C,d);-1===T?(S.push(C),A.push(1)):A[T]+=1}}catch(D){O.e(D)}finally{O.f()}for(var _=[],I=S.length,k=Array(t).fill(w),z=f(Array(t).fill(N)),R=[],q=function(e){var s=S[e],c=r(g,i(s,z)),f=h(c,k);for(f.shift();f.length<A[e];){var m=E(c,t,f,u,p);if(null==m){R.push(s);break}f.push(m)}var d=i(l(o),a);f=f.map((function(e){return i(d,e)})),_.push.apply(_,sa()(f.map((function(e){return n(e)}))))},B=0;B<I;B++)q(B);if(0!==R.length){var D=new Error("Failed to find eigenvectors for the following eigenvalues: "+R.join(", "));throw D.values=s,D.vectors=_,D}return _}(e,m,I,O,_,b,S),C=x.apply(void 0,sa()(C))),{values:_,vectors:C}}}var Yu=Qe("eigs",["config","typed","matrix","addScalar","equal","subtract","abs","atan","cos","sin","multiplyScalar","divideScalar","inv","bignumber","multiply","add","larger","column","flatten","number","complex","sqrt","diag","qr","usolve","usolveAll","im","re","smaller","matrixFromColumns","dot"],(function(e){var t=e.config,r=e.typed,n=e.matrix,i=e.addScalar,a=e.subtract,f=e.equal,l=e.abs,p=e.atan,m=e.cos,h=e.sin,d=e.multiplyScalar,v=e.divideScalar,y=e.inv,g=e.bignumber,x=e.multiply,b=e.add,w=e.larger,N=e.column,M=e.flatten,E=e.number,S=e.complex,A=e.sqrt,O=e.diag,C=e.qr,T=e.usolve,_=e.usolveAll,I=e.im,k=e.re,z=e.smaller,R=e.matrixFromColumns,q=e.dot,B=function(e){var t=e.config,r=e.addScalar,n=e.subtract,i=e.abs,a=e.atan,o=e.cos,s=e.sin,u=e.multiplyScalar,c=e.inv,f=e.bignumber,l=e.multiply,p=e.add;function m(e,t){for(var r,n=e.length,i=Math.abs(t/n),a=new Array(n),o=0;o<n;o++)a[o]=E(n,0),a[o][o]=1;for(var s=w(e);Math.abs(s[1])>=Math.abs(i);){var u=s[0][0],c=s[0][1];e=b(e,r=d(e[u][u],e[c][c],e[u][c]),u,c),a=y(a,r,u,c),s=w(e)}for(var f=E(n,0),l=0;l<n;l++)f[l]=e[l][l];return M(He(f),He(a))}function h(e,t){for(var r,n=e.length,a=i(t/n),o=new Array(n),s=0;s<n;s++)o[s]=E(n,0),o[s][s]=1;for(var u=N(e);i(u[1])>=i(a);){var c=u[0][0],f=u[0][1];e=x(e,r=v(e[c][c],e[f][f],e[c][f]),c,f),o=g(o,r,c,f),u=N(e)}for(var l=E(n,0),p=0;p<n;p++)l[p]=e[p][p];return M(He(l),He(o))}function d(e,r,n){var i=r-e;return Math.abs(i)<=t.epsilon?Math.PI/4:.5*Math.atan(2*n/(r-e))}function v(e,r,o){var s=n(r,e);return i(s)<=t.epsilon?f(-1).acos().div(4):u(.5,a(l(2,o,c(s))))}function y(e,t,r,n){for(var i=e.length,a=Math.cos(t),o=Math.sin(t),s=E(i,0),u=E(i,0),c=0;c<i;c++)s[c]=a*e[c][r]-o*e[c][n],u[c]=o*e[c][r]+a*e[c][n];for(var f=0;f<i;f++)e[f][r]=s[f],e[f][n]=u[f];return e}function g(e,t,i,a){for(var c=e.length,l=o(t),p=s(t),m=E(c,f(0)),h=E(c,f(0)),d=0;d<c;d++)m[d]=n(u(l,e[d][i]),u(p,e[d][a])),h[d]=r(u(p,e[d][i]),u(l,e[d][a]));for(var v=0;v<c;v++)e[v][i]=m[v],e[v][a]=h[v];return e}function x(e,t,i,a){for(var c=e.length,m=f(o(t)),h=f(s(t)),d=u(m,m),v=u(h,h),y=E(c,f(0)),g=E(c,f(0)),x=l(f(2),m,h,e[i][a]),b=r(n(u(d,e[i][i]),x),u(v,e[a][a])),w=p(u(v,e[i][i]),x,u(d,e[a][a])),N=0;N<c;N++)y[N]=n(u(m,e[i][N]),u(h,e[a][N])),g[N]=r(u(h,e[i][N]),u(m,e[a][N]));e[i][i]=b,e[a][a]=w,e[i][a]=f(0),e[a][i]=f(0);for(var M=0;M<c;M++)M!==i&&M!==a&&(e[i][M]=y[M],e[M][i]=y[M],e[a][M]=g[M],e[M][a]=g[M]);return e}function b(e,t,r,n){for(var i=e.length,a=Math.cos(t),o=Math.sin(t),s=a*a,u=o*o,c=E(i,0),f=E(i,0),l=s*e[r][r]-2*a*o*e[r][n]+u*e[n][n],p=u*e[r][r]+2*a*o*e[r][n]+s*e[n][n],m=0;m<i;m++)c[m]=a*e[r][m]-o*e[n][m],f[m]=o*e[r][m]+a*e[n][m];e[r][r]=l,e[n][n]=p,e[r][n]=0,e[n][r]=0;for(var h=0;h<i;h++)h!==r&&h!==n&&(e[r][h]=c[h],e[h][r]=c[h],e[n][h]=f[h],e[h][n]=f[h]);return e}function w(e){for(var t=e.length,r=0,n=[0,1],i=0;i<t;i++)for(var a=i+1;a<t;a++)Math.abs(r)<Math.abs(e[i][a])&&(r=Math.abs(e[i][a]),n=[i,a]);return[n,r]}function N(e){for(var t=e.length,r=0,n=[0,1],a=0;a<t;a++)for(var o=a+1;o<t;o++)i(r)<i(e[a][o])&&(r=i(e[a][o]),n=[a,o]);return[n,r]}function M(e,t){for(var r=e.length,n=Array(r),a=Array(r),o=0;o<r;o++)a[o]=Array(r);for(var s=0;s<r;s++){for(var u=0,c=e[0],f=0;f<e.length;f++)i(e[f])<i(c)&&(c=e[u=f]);n[s]=e.splice(u,1)[0];for(var l=0;l<r;l++)a[l][s]=t[l][u],t[l].splice(u,1)}return{values:n,vectors:a}}function E(e,t){for(var r=new Array(e),n=0;n<e;n++)r[n]=t;return r}return function(e,r){var n=arguments.length>2&&void 0!==arguments[2]?arguments[2]:t.epsilon,i=arguments.length>3?arguments[3]:void 0;if("number"===i)return m(e,n);if("BigNumber"===i)return h(e,n);throw TypeError("Unsupported data type: "+i)}}({config:t,addScalar:i,subtract:a,column:N,flatten:M,equal:f,abs:l,atan:p,cos:m,sin:h,multiplyScalar:d,inv:y,bignumber:g,complex:S,multiply:x,add:b}),D=Wu({config:t,addScalar:i,subtract:a,multiply:x,multiplyScalar:d,flatten:M,divideScalar:v,sqrt:A,abs:l,bignumber:g,diag:O,qr:C,inv:y,usolve:T,usolveAll:_,equal:f,complex:S,larger:w,smaller:z,matrixFromColumns:R,dot:q});return r("eigs",{Array:function(e){return j(n(e))},"Array, number|BigNumber":function(e,t){return j(n(e),t)},Matrix:function(e){var t=j(e),r=t.values,i=t.vectors;return{values:n(r),vectors:n(i)}},"Matrix, number|BigNumber":function(e,t){var r=j(e,t),i=r.values,a=r.vectors;return{values:n(i),vectors:n(a)}}});function j(e,r){void 0===r&&(r=t.epsilon);var n=e.size();if(2!==n.length||n[0]!==n[1])throw new RangeError("Matrix must be square (size: "+xe(n)+")");var i=e.toArray(),o=n[0];if(function(e,t,r){for(var n=0;n<t;n++)for(var i=0;i<t;i++)if(w(g(l(I(e[n][i]))),r))return!1;return!0}(i,o,r)&&(function(e,t){for(var r=0;r<t;r++)for(var n=0;n<t;n++)e[r][n]=k(e[r][n])}(i,o),function(e,t,r){for(var n=0;n<t;n++)for(var i=n;i<t;i++)if(w(g(l(a(e[n][i],e[i][n]))),r))return!1;return!0}(i,o,r))){var s=P(e,i,o);return B(i,o,r,s)}var u=P(e,i,o);return D(i,o,r,u)}function P(e,t,r){var n=e.datatype();if("number"===n||"BigNumber"===n||"Complex"===n)return n;for(var i=!1,a=!1,f=!1,l=0;l<r;l++)for(var p=0;p<r;p++){var m=t[l][p];if(o(m)||c(m))i=!0;else if(s(m))a=!0;else{if(!u(m))throw TypeError("Unsupported type in Matrix: "+H(m));f=!0}}if(a&&f&&console.warn("Complex BigNumbers not supported, this operation will lose precission."),f){for(var h=0;h<r;h++)for(var d=0;d<r;d++)t[h][d]=S(t[h][d]);return"Complex"}if(a){for(var v=0;v<r;v++)for(var y=0;y<r;y++)t[v][y]=g(t[v][y]);return"BigNumber"}if(i){for(var x=0;x<r;x++)for(var b=0;b<r;b++)t[x][b]=E(t[x][b]);return"number"}throw TypeError("Matrix contains unsupported types only.")}})),Ju=Qe("expm",["typed","abs","add","identity","inv","multiply"],(function(e){var t=e.typed,r=e.abs,n=e.add,i=e.identity,a=e.inv,o=e.multiply;return t("expm",{Matrix:function(e){var t=e.size();if(2!==t.length||t[0]!==t[1])throw new RangeError("Matrix must be square (size: "+xe(t)+")");for(var u=t[0],c=function(e,t){for(var r=0;r<30;r++)for(var n=0;n<=r;n++){var i=r-n;if(s(e,n,i)<t)return{q:n,j:i}}throw new Error("Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)")}(function(e){for(var t=e.size()[0],n=0,i=0;i<t;i++){for(var a=0,o=0;o<t;o++)a+=r(e.get([i,o]));n=Math.max(a,n)}return n}(e),1e-15),f=c.q,l=c.j,p=o(e,Math.pow(2,-l)),m=i(u),h=i(u),d=1,y=p,g=-1,x=1;x<=f;x++)x>1&&(y=o(y,p),g=-g),m=n(m,o(d=d*(f-x+1)/((2*f-x+1)*x),y)),h=n(h,o(d*g,y));for(var b=o(a(h),m),w=0;w<l;w++)b=o(b,b);return v(e)?e.createSparseMatrix(b):b}});function s(e,t,r){for(var n=1,i=2;i<=t;i++)n*=i;for(var a=n,o=t+1;o<=2*t;o++)a*=o;var s=a*(2*t+1);return 8*Math.pow(e/Math.pow(2,r),2*t)*n*n/(a*s)}})),Xu=Qe("sqrtm",["typed","abs","add","multiply","sqrt","subtract","inv","size","max","identity"],(function(e){var t=e.typed,r=e.abs,n=e.add,i=e.multiply,a=e.sqrt,o=e.subtract,s=e.inv,u=e.size,c=e.max,f=e.identity;function l(e){var t,a=0,l=e,p=f(u(e));do{var m=l;if(l=i(.5,n(m,s(p))),p=i(.5,n(p,s(m))),(t=c(r(o(l,m))))>1e-6&&++a>1e3)throw new Error("computing square root of matrix: iterative method could not converge")}while(t>1e-6);return l}return t("sqrtm",{"Array | Matrix":function(e){var t=m(e)?e.size():Se(e);switch(t.length){case 1:if(1===t[0])return a(e);throw new RangeError("Matrix must be square (size: "+xe(t)+")");case 2:if(t[0]===t[1])return l(e);throw new RangeError("Matrix must be square (size: "+xe(t)+")");default:throw new RangeError("Matrix must be at most two dimensional (size: "+xe(t)+")")}}})})),Qu=Qe("divide",["typed","matrix","multiply","equalScalar","divideScalar","inv"],(function(e){var t=e.typed,r=e.matrix,n=e.multiply,i=e.equalScalar,a=e.divideScalar,o=e.inv,s=en({typed:t,equalScalar:i}),u=rn({typed:t});return t("divide",Ve({"Array | Matrix, Array | Matrix":function(e,t){return n(e,o(t))},"DenseMatrix, any":function(e,t){return u(e,t,a,!1)},"SparseMatrix, any":function(e,t){return s(e,t,a,!1)},"Array, any":function(e,t){return u(r(e),t,a,!1).valueOf()},"any, Array | Matrix":function(e,t){return n(e,o(t))}},a.signatures))})),Ku=Qe("distance",["typed","addScalar","subtract","divideScalar","multiplyScalar","unaryMinus","sqrt","abs"],(function(e){var t=e.typed,r=e.addScalar,n=e.subtract,i=e.multiplyScalar,a=e.divideScalar,o=e.unaryMinus,u=e.sqrt,c=e.abs;return t("distance",{"Array, Array, Array":function(e,t,r){if(2===e.length&&2===t.length&&2===r.length){if(!l(e))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!l(t))throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument");if(!l(r))throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument");var s=a(n(r[1],r[0]),n(t[1],t[0])),u=i(i(s,s),t[0]),c=o(i(s,t[0])),f=e[1];return v(e[0],e[1],u,c,f)}throw new TypeError("Invalid Arguments: Try again")},"Object, Object, Object":function(e,t,r){if(2===Object.keys(e).length&&2===Object.keys(t).length&&2===Object.keys(r).length){if(!l(e))throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers");if(!l(t))throw new TypeError("Values of lineOnePtX and lineOnePtY should be numbers or BigNumbers");if(!l(r))throw new TypeError("Values of lineTwoPtX and lineTwoPtY should be numbers or BigNumbers");if("pointX"in e&&"pointY"in e&&"lineOnePtX"in t&&"lineOnePtY"in t&&"lineTwoPtX"in r&&"lineTwoPtY"in r){var s=a(n(r.lineTwoPtY,r.lineTwoPtX),n(t.lineOnePtY,t.lineOnePtX)),u=i(i(s,s),t.lineOnePtX),c=o(i(s,t.lineOnePtX)),f=e.pointX;return v(e.pointX,e.pointY,u,c,f)}throw new TypeError("Key names do not match")}throw new TypeError("Invalid Arguments: Try again")},"Array, Array":function(e,t){if(2===e.length&&3===t.length){if(!l(e))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!p(t))throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");return v(e[0],e[1],t[0],t[1],t[2])}if(3===e.length&&6===t.length){if(!p(e))throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");if(!h(t))throw new TypeError("Array with 6 numbers or BigNumbers expected for second argument");return y(e[0],e[1],e[2],t[0],t[1],t[2],t[3],t[4],t[5])}if(e.length===t.length&&e.length>0){if(!m(e))throw new TypeError("All values of an array should be numbers or BigNumbers");if(!m(t))throw new TypeError("All values of an array should be numbers or BigNumbers");return g(e,t)}throw new TypeError("Invalid Arguments: Try again")},"Object, Object":function(e,t){if(2===Object.keys(e).length&&3===Object.keys(t).length){if(!l(e))throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers");if(!p(t))throw new TypeError("Values of xCoeffLine, yCoeffLine and constant should be numbers or BigNumbers");if("pointX"in e&&"pointY"in e&&"xCoeffLine"in t&&"yCoeffLine"in t&&"constant"in t)return v(e.pointX,e.pointY,t.xCoeffLine,t.yCoeffLine,t.constant);throw new TypeError("Key names do not match")}if(3===Object.keys(e).length&&6===Object.keys(t).length){if(!p(e))throw new TypeError("Values of pointX, pointY and pointZ should be numbers or BigNumbers");if(!h(t))throw new TypeError("Values of x0, y0, z0, a, b and c should be numbers or BigNumbers");if("pointX"in e&&"pointY"in e&&"x0"in t&&"y0"in t&&"z0"in t&&"a"in t&&"b"in t&&"c"in t)return y(e.pointX,e.pointY,e.pointZ,t.x0,t.y0,t.z0,t.a,t.b,t.c);throw new TypeError("Key names do not match")}if(2===Object.keys(e).length&&2===Object.keys(t).length){if(!l(e))throw new TypeError("Values of pointOneX and pointOneY should be numbers or BigNumbers");if(!l(t))throw new TypeError("Values of pointTwoX and pointTwoY should be numbers or BigNumbers");if("pointOneX"in e&&"pointOneY"in e&&"pointTwoX"in t&&"pointTwoY"in t)return g([e.pointOneX,e.pointOneY],[t.pointTwoX,t.pointTwoY]);throw new TypeError("Key names do not match")}if(3===Object.keys(e).length&&3===Object.keys(t).length){if(!p(e))throw new TypeError("Values of pointOneX, pointOneY and pointOneZ should be numbers or BigNumbers");if(!p(t))throw new TypeError("Values of pointTwoX, pointTwoY and pointTwoZ should be numbers or BigNumbers");if("pointOneX"in e&&"pointOneY"in e&&"pointOneZ"in e&&"pointTwoX"in t&&"pointTwoY"in t&&"pointTwoZ"in t)return g([e.pointOneX,e.pointOneY,e.pointOneZ],[t.pointTwoX,t.pointTwoY,t.pointTwoZ]);throw new TypeError("Key names do not match")}throw new TypeError("Invalid Arguments: Try again")},Array:function(e){if(!function(e){if(2===e[0].length&&f(e[0][0])&&f(e[0][1])){if(e.some((function(e){return 2!==e.length||!f(e[0])||!f(e[1])})))return!1}else{if(!(3===e[0].length&&f(e[0][0])&&f(e[0][1])&&f(e[0][2])))return!1;if(e.some((function(e){return 3!==e.length||!f(e[0])||!f(e[1])||!f(e[2])})))return!1}return!0}(e))throw new TypeError("Incorrect array format entered for pairwise distance calculation");return function(e){for(var t=[],r=[],n=[],i=0;i<e.length-1;i++)for(var a=i+1;a<e.length;a++)2===e[0].length?(r=[e[i][0],e[i][1]],n=[e[a][0],e[a][1]]):3===e[0].length&&(r=[e[i][0],e[i][1],e[i][2]],n=[e[a][0],e[a][1],e[a][2]]),t.push(g(r,n));return t}(e)}});function f(e){return"number"==typeof e||s(e)}function l(e){return e.constructor!==Array&&(e=d(e)),f(e[0])&&f(e[1])}function p(e){return e.constructor!==Array&&(e=d(e)),f(e[0])&&f(e[1])&&f(e[2])}function m(e){return Array.isArray(e)||(e=d(e)),e.every(f)}function h(e){return e.constructor!==Array&&(e=d(e)),f(e[0])&&f(e[1])&&f(e[2])&&f(e[3])&&f(e[4])&&f(e[5])}function d(e){for(var t=Object.keys(e),r=[],n=0;n<t.length;n++)r.push(e[t[n]]);return r}function v(e,t,n,o,s){var f=c(r(r(i(n,e),i(o,t)),s)),l=u(r(i(n,n),i(o,o)));return a(f,l)}function y(e,t,o,s,c,f,l,p,m){var h=[n(i(n(c,t),m),i(n(f,o),p)),n(i(n(f,o),l),i(n(s,e),m)),n(i(n(s,e),p),i(n(c,t),l))];h=u(r(r(i(h[0],h[0]),i(h[1],h[1])),i(h[2],h[2])));var d=u(r(r(i(l,l),i(p,p)),i(m,m)));return a(h,d)}function g(e,t){for(var a=e.length,o=0,s=0,c=0;c<a;c++)s=n(e[c],t[c]),o=r(i(s,s),o);return u(o)}})),ec=Qe("intersect",["typed","config","abs","add","addScalar","matrix","multiply","multiplyScalar","divideScalar","subtract","smaller","equalScalar","flatten","isZero","isNumeric"],(function(e){var t=e.typed,r=e.config,n=e.abs,i=e.add,a=e.addScalar,o=e.matrix,s=e.multiply,u=e.multiplyScalar,c=e.divideScalar,f=e.subtract,l=e.smaller,p=e.equalScalar,m=e.flatten,h=e.isZero,d=e.isNumeric;return t("intersect",{"Array, Array, Array":v,"Array, Array, Array, Array":y,"Matrix, Matrix, Matrix":function(e,t,r){var n=v(e.valueOf(),t.valueOf(),r.valueOf());return null===n?null:o(n)},"Matrix, Matrix, Matrix, Matrix":function(e,t,r,n){var i=y(e.valueOf(),t.valueOf(),r.valueOf(),n.valueOf());return null===i?null:o(i)}});function v(e,t,r){if(e=g(e),t=g(t),r=g(r),!b(e))throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");if(!b(t))throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");if(!function(e){return 4===e.length&&d(e[0])&&d(e[1])&&d(e[2])&&d(e[3])}(r))throw new TypeError("Array with 4 numbers expected as third argument");return function(e,t,r,n,i,o,s,l,p,m){var h=u(e,s),d=u(n,s),v=u(t,l),y=u(i,l),g=u(r,p),x=u(o,p),b=f(f(f(m,h),v),g),w=f(f(f(a(a(d,y),x),h),v),g),N=c(b,w),M=a(e,u(N,f(n,e))),E=a(t,u(N,f(i,t))),S=a(r,u(N,f(o,r)));return[M,E,S]}(e[0],e[1],e[2],t[0],t[1],t[2],r[0],r[1],r[2],r[3])}function y(e,t,o,m){if(e=g(e),t=g(t),o=g(o),m=g(m),2===e.length){if(!x(e))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!x(t))throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument");if(!x(o))throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument");if(!x(m))throw new TypeError("Array with 2 numbers or BigNumbers expected for fourth argument");return function(e,t,o,p){var m=e,d=o,v=f(m,t),y=f(d,p),g=f(u(v[0],y[1]),u(y[0],v[1]));if(h(g))return null;if(l(n(g),r.epsilon))return null;var x=u(y[0],m[1]),b=u(y[1],m[0]),w=u(y[0],d[1]),N=u(y[1],d[0]),M=c(a(f(f(x,b),w),N),g);return i(s(v,M),m)}(e,t,o,m)}if(3===e.length){if(!b(e))throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");if(!b(t))throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");if(!b(o))throw new TypeError("Array with 3 numbers or BigNumbers expected for third argument");if(!b(m))throw new TypeError("Array with 3 numbers or BigNumbers expected for fourth argument");return function(e,t,r,n,i,o,s,l,m,d,v,y){var g=w(e,s,d,s,t,l,v,l,r,m,y,m),x=w(d,s,n,e,v,l,i,t,y,m,o,r),b=w(e,s,n,e,t,l,i,t,r,m,o,r),N=w(d,s,d,s,v,l,v,l,y,m,y,m),M=w(n,e,n,e,i,t,i,t,o,r,o,r),E=f(u(g,x),u(b,N)),S=f(u(M,N),u(x,x));if(h(S))return null;var A=c(E,S),O=c(a(g,u(A,x)),N),C=a(e,u(A,f(n,e))),T=a(t,u(A,f(i,t))),_=a(r,u(A,f(o,r))),I=a(s,u(O,f(d,s))),k=a(l,u(O,f(v,l))),z=a(m,u(O,f(y,m)));return p(C,I)&&p(T,k)&&p(_,z)?[C,T,_]:null}(e[0],e[1],e[2],t[0],t[1],t[2],o[0],o[1],o[2],m[0],m[1],m[2])}throw new TypeError("Arrays with two or thee dimensional points expected")}function g(e){return 1===e.length?e[0]:e.length>1&&Array.isArray(e[0])&&e.every((function(e){return Array.isArray(e)&&1===e.length}))?m(e):e}function x(e){return 2===e.length&&d(e[0])&&d(e[1])}function b(e){return 3===e.length&&d(e[0])&&d(e[1])&&d(e[2])}function w(e,t,r,n,i,o,s,c,l,p,m,h){var d=u(f(e,t),f(r,n)),v=u(f(i,o),f(s,c)),y=u(f(l,p),f(m,h));return a(a(d,v),y)}})),tc=Qe("sum",["typed","config","add","numeric"],(function(e){var t=e.typed,r=e.config,n=e.add,i=e.numeric;return t("sum",{"Array | Matrix":a,"Array | Matrix, number | BigNumber":function(e,t){try{return Vt(e,t,n)}catch(e){throw ya(e,"sum")}},"...":function(e){if($t(e))throw new TypeError("Scalar values expected in function sum");return a(e)}});function a(e){var t;return Ht(e,(function(e){try{t=void 0===t?e:n(t,e)}catch(t){throw ya(t,"sum",e)}})),void 0===t&&(t=i(0,r.number)),"string"==typeof t&&(t=i(t,r.number)),t}})),rc=Qe("cumsum",["typed","add","unaryPlus"],(function(e){var t=e.typed,r=e.add,n=e.unaryPlus;return t("cumsum",{Array:i,Matrix:function(e){return e.create(i(e.valueOf()))},"Array, number | BigNumber":o,"Matrix, number | BigNumber":function(e,t){return e.create(o(e.valueOf(),t))},"...":function(e){if($t(e))throw new TypeError("All values expected to be scalar in function cumsum");return i(e)}});function i(e){try{return a(e)}catch(e){throw ya(e,"cumsum")}}function a(e){if(0===e.length)return[];for(var t=[n(e[0])],i=1;i<e.length;++i)t.push(r(t[i-1],e[i]));return t}function o(e,t){var r=Se(e);if(t<0||t>=r.length)throw new Ee(t,r.length);try{return function e(t,r){var n,i,o;if(r<=0){var s=t[0][0];if(Array.isArray(s)){for(o=Lt(t),i=[],n=0;n<o.length;n++)i[n]=e(o[n],r-1);return i}return a(t)}for(i=[],n=0;n<t.length;n++)i[n]=e(t[n],r-1);return i}(e,t)}catch(e){throw ya(e,"cumsum")}}})),nc=Qe("mean",["typed","add","divide"],(function(e){var t=e.typed,r=e.add,n=e.divide;return t("mean",{"Array | Matrix":i,"Array | Matrix, number | BigNumber":function(e,t){try{var i=Vt(e,t,r),a=Array.isArray(e)?Se(e):e.size();return n(i,a[t])}catch(e){throw ya(e,"mean")}},"...":function(e){if($t(e))throw new TypeError("Scalar values expected in function mean");return i(e)}});function i(e){var t,i=0;if(Ht(e,(function(e){try{t=void 0===t?e:r(t,e),i++}catch(t){throw ya(t,"mean",e)}})),0===i)throw new Error("Cannot calculate the mean of an empty array");return n(t,i)}})),ic=Qe("median",["typed","add","divide","compare","partitionSelect"],(function(e){var t=e.typed,r=e.add,n=e.divide,i=e.compare,a=e.partitionSelect;function o(e){try{var t=(e=Re(e.valueOf())).length;if(0===t)throw new Error("Cannot calculate median of an empty array");if(t%2==0){for(var r=t/2-1,n=a(e,r+1),o=e[r],c=0;c<r;++c)i(e[c],o)>0&&(o=e[c]);return u(o,n)}var f=a(e,(t-1)/2);return s(f)}catch(e){throw ya(e,"median")}}var s=t({"number | BigNumber | Complex | Unit":function(e){return e}}),u=t({"number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit":function(e,t){return n(r(e,t),2)}});return t("median",{"Array | Matrix":o,"Array | Matrix, number | BigNumber":function(e,t){throw new Error("median(A, dim) is not yet supported")},"...":function(e){if($t(e))throw new TypeError("Scalar values expected in function median");return o(e)}})})),ac=Qe("mad",["typed","abs","map","median","subtract"],(function(e){var t=e.typed,r=e.abs,n=e.map,i=e.median,a=e.subtract;return t("mad",{"Array | Matrix":o,"...":function(e){return o(e)}});function o(e){if(0===(e=Re(e.valueOf())).length)throw new Error("Cannot calculate median absolute deviation (mad) of an empty array");try{var t=i(e);return i(n(e,(function(e){return r(a(e,t))})))}catch(e){throw e instanceof TypeError&&-1!==e.message.indexOf("median")?new TypeError(e.message.replace("median","mad")):ya(e,"mad")}}})),oc=Qe("variance",["typed","add","subtract","multiply","divide","apply","isNaN"],(function(e){var t=e.typed,r=e.add,n=e.subtract,i=e.multiply,a=e.divide,o=e.apply,u=e.isNaN;return t("variance",{"Array | Matrix":function(e){return c(e,"unbiased")},"Array | Matrix, string":c,"Array | Matrix, number | BigNumber":function(e,t){return f(e,t,"unbiased")},"Array | Matrix, number | BigNumber, string":f,"...":function(e){return c(e,"unbiased")}});function c(e,t){var o,c=0;if(0===e.length)throw new SyntaxError("Function variance requires one or more parameters (0 provided)");if(Ht(e,(function(e){try{o=void 0===o?e:r(o,e),c++}catch(t){throw ya(t,"variance",e)}})),0===c)throw new Error("Cannot calculate variance of an empty array");var f=a(o,c);if(o=void 0,Ht(e,(function(e){var t=n(e,f);o=void 0===o?i(t,t):r(o,i(t,t))})),u(o))return o;switch(t){case"uncorrected":return a(o,c);case"biased":return a(o,c+1);case"unbiased":var l=s(o)?o.mul(0):0;return 1===c?l:a(o,c-1);default:throw new Error('Unknown normalization "'+t+'". Choose "unbiased" (default), "uncorrected", or "biased".')}}function f(e,t,r){try{if(0===e.length)throw new SyntaxError("Function variance requires one or more parameters (0 provided)");return o(e,t,(function(e){return c(e,r)}))}catch(e){throw ya(e,"variance")}}})),sc=Qe("quantileSeq",["typed","add","multiply","partitionSelect","compare"],(function(e){var t=e.typed,r=e.add,n=e.multiply,i=e.partitionSelect,a=e.compare;function u(e,t,s){var u=Re(e),f=u.length;if(0===f)throw new Error("Cannot calculate quantile of an empty sequence");if(o(t)){var l=t*(f-1),p=l%1;if(0===p){var m=s?u[l]:i(u,l);return c(m),m}var h,d,v=Math.floor(l);if(s)h=u[v],d=u[v+1];else{d=i(u,v+1),h=u[v];for(var y=0;y<v;++y)a(u[y],h)>0&&(h=u[y])}return c(h),c(d),r(n(h,1-p),n(d,p))}var g=t.times(f-1);if(g.isInteger()){g=g.toNumber();var x=s?u[g]:i(u,g);return c(x),x}var b,w,N=g.floor(),M=g.minus(N),E=N.toNumber();if(s)b=u[E],w=u[E+1];else{w=i(u,E+1),b=u[E];for(var S=0;S<E;++S)a(u[S],b)>0&&(b=u[S])}c(b),c(w);var A=new M.constructor(1);return r(n(b,A.minus(M)),n(w,M))}var c=t({"number | BigNumber | Unit":function(e){return e}});return function(e,t,r){var n,i,a;if(arguments.length<2||arguments.length>3)throw new SyntaxError("Function quantileSeq requires two or three parameters");if(h(e)){if("boolean"==typeof(r=r||!1)){if(i=e.valueOf(),o(t)){if(t<0)throw new Error("N/prob must be non-negative");if(t<=1)return u(i,t,r);if(t>1){if(!Z(t))throw new Error("N must be a positive integer");var c=t+1;n=new Array(t);for(var f=0;f<t;)n[f]=u(i,++f/c,r);return n}}if(s(t)){var l=t.constructor;if(t.isNegative())throw new Error("N/prob must be non-negative");if(a=new l(1),t.lte(a))return new l(u(i,t,r));if(t.gt(a)){if(!t.isInteger())throw new Error("N must be a positive integer");var p=t.toNumber();if(p>4294967295)throw new Error("N must be less than or equal to 2^32-1, as that is the maximum length of an Array");var m=new l(p+1);n=new Array(p);for(var d=0;d<p;)n[d]=new l(u(i,new l(++d).div(m),r));return n}}if(Array.isArray(t)){n=new Array(t.length);for(var v=0;v<n.length;++v){var y=t[v];if(o(y)){if(y<0||y>1)throw new Error("Probability must be between 0 and 1, inclusive")}else{if(!s(y))throw new TypeError("Unexpected type of argument in function quantileSeq");if(a=new y.constructor(1),y.isNegative()||y.gt(a))throw new Error("Probability must be between 0 and 1, inclusive")}n[v]=u(i,y,r)}return n}throw new TypeError("Unexpected type of argument in function quantileSeq")}throw new TypeError("Unexpected type of argument in function quantileSeq")}throw new TypeError("Unexpected type of argument in function quantileSeq")}})),uc=Qe("std",["typed","sqrt","variance"],(function(e){var t=e.typed,r=e.sqrt,n=e.variance;return t("std",{"Array | Matrix":i,"Array | Matrix, string":i,"Array | Matrix, number | BigNumber":i,"Array | Matrix, number | BigNumber, string":i,"...":function(e){return i(e)}});function i(e,t){if(0===e.length)throw new SyntaxError("Function std requires one or more parameters (0 provided)");try{return r(n.apply(null,arguments))}catch(e){throw e instanceof TypeError&&-1!==e.message.indexOf(" variance")?new TypeError(e.message.replace(" variance"," std")):e}}}));function cc(e,t){if(t<e)return 1;if(t===e)return t;var r=t+e>>1;return cc(e,r)*cc(r+1,t)}function fc(e,t){if(!Z(e)||e<0)throw new TypeError("Positive integer value expected in function combinations");if(!Z(t)||t<0)throw new TypeError("Positive integer value expected in function combinations");if(t>e)throw new TypeError("k must be less than or equal to n");for(var r=e-t,n=1,i=2,a=t<r?t:r,o=t<r?r+1:t+1;o<=e;++o)for(n*=o;i<=a&&n%i==0;)n/=i,++i;return i<=a&&(n/=cc(i,a)),n}fc.signature="number, number";var lc=Qe("combinations",["typed"],(function(e){return(0,e.typed)("combinations",{"number, number":fc,"BigNumber, BigNumber":function(e,t){var r,n,i=e.constructor,a=e.minus(t),o=new i(1);if(!pc(e)||!pc(t))throw new TypeError("Positive integer value expected in function combinations");if(t.gt(e))throw new TypeError("k must be less than n in function combinations");if(r=o,t.lt(a))for(n=o;n.lte(a);n=n.plus(o))r=r.times(t.plus(n)).dividedBy(n);else for(n=o;n.lte(t);n=n.plus(o))r=r.times(a.plus(n)).dividedBy(n);return r}})}));function pc(e){return e.isInteger()&&e.gte(0)}var mc=Qe("combinationsWithRep",["typed"],(function(e){return(0,e.typed)("combinationsWithRep",{"number, number":function(e,t){if(!Z(e)||e<0)throw new TypeError("Positive integer value expected in function combinationsWithRep");if(!Z(t)||t<0)throw new TypeError("Positive integer value expected in function combinationsWithRep");if(e<1)throw new TypeError("k must be less than or equal to n + k - 1");return t<e-1?cc(e,e+t-1)/cc(1,t):cc(t+1,e+t-1)/cc(1,e-1)},"BigNumber, BigNumber":function(e,t){var r,n,i=new(0,e.constructor)(1),a=e.minus(i);if(!hc(e)||!hc(t))throw new TypeError("Positive integer value expected in function combinationsWithRep");if(e.lt(i))throw new TypeError("k must be less than or equal to n + k - 1 in function combinationsWithRep");if(r=i,t.lt(a))for(n=i;n.lte(a);n=n.plus(i))r=r.times(t.plus(n)).dividedBy(n);else for(n=i;n.lte(t);n=n.plus(i))r=r.times(a.plus(n)).dividedBy(n);return r}})}));function hc(e){return e.isInteger()&&e.gte(0)}function dc(e){var t;if(Z(e))return e<=0?isFinite(e)?1/0:NaN:e>171?1/0:cc(1,e-1);if(e<.5)return Math.PI/(Math.sin(Math.PI*e)*dc(1-e));if(e>=171.35)return 1/0;if(e>85){var r=e*e,n=r*e,i=n*e,a=i*e;return Math.sqrt(2*Math.PI/e)*Math.pow(e/Math.E,e)*(1+1/(12*e)+1/(288*r)-139/(51840*n)-571/(2488320*i)+163879/(209018880*a)+5246819/(75246796800*a*e))}--e,t=yc[0];for(var o=1;o<yc.length;++o)t+=yc[o]/(e+o);var s=e+vc+.5;return Math.sqrt(2*Math.PI)*Math.pow(s,e+.5)*Math.exp(-s)*t}dc.signature="number";var vc=4.7421875,yc=[.9999999999999971,57.15623566586292,-59.59796035547549,14.136097974741746,-.4919138160976202,3399464998481189e-20,4652362892704858e-20,-9837447530487956e-20,.0001580887032249125,-.00021026444172410488,.00021743961811521265,-.0001643181065367639,8441822398385275e-20,-26190838401581408e-21,36899182659531625e-22],gc=[1.000000000190015,76.18009172947146,-86.50532032941678,24.01409824083091,-1.231739572450155,.001208650973866179,-5395239384953e-18];function xc(e){if(e<0)return NaN;if(0===e)return 1/0;if(!isFinite(e))return e;if(e<.5)return Math.log(Math.PI/Math.sin(Math.PI*e))-xc(1-e);for(var t=(e-=1)+5+.5,r=gc[0],n=6;n>=1;n--)r+=gc[n]/(e+n);return.9189385332046728+(e+.5)*Math.log(t)-t+Math.log(r)}xc.signature="number";var bc=Qe("gamma",["typed","config","multiplyScalar","pow","BigNumber","Complex"],(function(e){var t=e.typed,r=e.config,n=(e.multiplyScalar,e.pow,e.BigNumber),i=e.Complex;return t("gamma",{number:dc,Complex:function(e){if(0===e.im)return this(e.re);if(e.re<.5){var t=new i(1-e.re,-e.im),r=new i(Math.PI*e.re,Math.PI*e.im);return new i(Math.PI).div(r.sin()).div(this(t))}e=new i(e.re-1,e.im);for(var n=new i(yc[0],0),a=1;a<yc.length;++a){var o=new i(yc[a],0);n=n.add(o.div(e.add(a)))}var s=new i(e.re+vc+.5,e.im),u=Math.sqrt(2*Math.PI),c=s.pow(e.add(.5)),f=s.neg().exp();return n.mul(u).mul(c).mul(f)},BigNumber:function(e){if(e.isInteger())return e.isNegative()||e.isZero()?new n(1/0):function e(t){if(t<8)return new n([1,1,2,6,24,120,720,5040][t]);var i=r.precision+(0|Math.log(t.toNumber())),a=n.clone({precision:i});if(t%2==1)return t.times(e(new n(t-1)));var o=t,s=new a(t),u=t.toNumber();for(;o>2;)u+=o-=2,s=s.times(u);return new n(s.toPrecision(n.precision))}(e.minus(1));if(!e.isFinite())return new n(e.isNegative()?NaN:1/0);throw new Error("Integer BigNumber expected")},"Array | Matrix":function(e){return Gt(e,this)}})})),wc=Qe("lgamma",["Complex","typed"],(function(e){var t=e.Complex,r=e.typed,n=[-.029550653594771242,.00641025641025641,-.0019175269175269176,.0008417508417508417,-.0005952380952380953,.0007936507936507937,-.002777777777777778,.08333333333333333];return r("lgamma",{number:xc,Complex:function(e){var r,n;if(e.isNaN())return new t(NaN,NaN);if(0===e.im)return new t(xc(e.re),0);if(e.re>=7||Math.abs(e.im)>=7)return i(e);if(e.re<=.1){var o=(r=6.283185307179586,n=e.im,((r>0||!(r<0)&&1/r==1/0)^(n>0||!(n<0)&&1/n==1/0)?-r:r)*Math.floor(.5*e.re+.25)),s=e.mul(Math.PI).sin().log(),u=this(new t(1-e.re,-e.im));return new t(1.1447298858494002,o).sub(s).sub(u)}return e.im>=0?a(e):a(e.conjugate()).conjugate()},BigNumber:function(){throw new Error("mathjs doesn't yet provide an implementation of the algorithm lgamma for BigNumber")}});function i(e){for(var r=e.sub(.5).mul(e.log()).sub(e).add(.9189385332046728),i=new t(1,0).div(e),a=i.div(e),o=n[0],s=n[1],u=2*a.re,c=a.re*a.re+a.im*a.im,f=2;f<8;f++){var l=s;s=-c*o+n[f],o=u*o+l}var p=i.mul(a.mul(o).add(s));return r.add(p)}function a(e){var r=0,n=0,a=e;for(e=e.add(1);e.re<=7;){var o=(a=a.mul(e)).im<0?1:0;0!==o&&0===n&&r++,n=o,e=e.add(1)}return i(e).sub(a.log()).sub(new t(0,2*r*Math.PI*1))}})),Nc=Qe("factorial",["typed","gamma"],(function(e){var t=e.typed,r=e.gamma;return t("factorial",{number:function(e){if(e<0)throw new Error("Value must be non-negative");return r(e+1)},BigNumber:function(e){if(e.isNegative())throw new Error("Value must be non-negative");return r(e.plus(1))},"Array | Matrix":function(e){return Gt(e,this)}})})),Mc=Qe("kldivergence",["typed","matrix","divide","sum","multiply","dotDivide","log","isNumeric"],(function(e){var t=e.typed,r=e.matrix,n=e.divide,i=e.sum,a=e.multiply,o=e.dotDivide,s=e.log,u=e.isNumeric;return t("kldivergence",{"Array, Array":function(e,t){return c(r(e),r(t))},"Matrix, Array":function(e,t){return c(e,r(t))},"Array, Matrix":function(e,t){return c(r(e),t)},"Matrix, Matrix":function(e,t){return c(e,t)}});function c(e,t){var r=t.size().length,c=e.size().length;if(r>1)throw new Error("first object must be one dimensional");if(c>1)throw new Error("second object must be one dimensional");if(r!==c)throw new Error("Length of two vectors must be equal");if(0===i(e))throw new Error("Sum of elements in first object must be non zero");if(0===i(t))throw new Error("Sum of elements in second object must be non zero");var f=n(e,i(e)),l=n(t,i(t)),p=i(a(f,s(o(f,l))));return u(p)?p:Number.NaN}})),Ec=Qe("multinomial",["typed","add","divide","multiply","factorial","isInteger","isPositive"],(function(e){var t=e.typed,r=e.add,n=e.divide,i=e.multiply,a=e.factorial,o=e.isInteger,s=e.isPositive;return t("multinomial",{"Array | Matrix":function(e){var t=0,u=1;return Ht(e,(function(e){if(!o(e)||!s(e))throw new TypeError("Positive integer value expected in function multinomial");t=r(t,e),u=i(u,a(e))})),n(a(t),u)}})})),Sc=Qe("permutations",["typed","factorial"],(function(e){return(0,e.typed)("permutations",{"number | BigNumber":e.factorial,"number, number":function(e,t){if(!Z(e)||e<0)throw new TypeError("Positive integer value expected in function permutations");if(!Z(t)||t<0)throw new TypeError("Positive integer value expected in function permutations");if(t>e)throw new TypeError("second argument k must be less than or equal to first argument n");return cc(e-t+1,e)},"BigNumber, BigNumber":function(e,t){var r,n;if(!Ac(e)||!Ac(t))throw new TypeError("Positive integer value expected in function permutations");if(t.gt(e))throw new TypeError("second argument k must be less than or equal to first argument n");for(r=e.mul(0).add(1),n=e.minus(t).plus(1);n.lte(e);n=n.plus(1))r=r.times(n);return r}})}));function Ac(e){return e.isInteger()&&e.gte(0)}var Oc=r(137),Cc=r.n(Oc),Tc=Cc()(Date.now());function _c(e){var t,r;return t=null===(r=e)?Tc:Cc()(String(r)),function(){return t()}}var Ic=Qe("pickRandom",["typed","config","?on"],(function(e){var t=e.typed,r=e.config,n=e.on,i=_c(r.randomSeed);return n&&n("config",(function(e,t){e.randomSeed!==t.randomSeed&&(i=_c(e.randomSeed))})),t("pickRandom",{"Array | Matrix":function(e){return a(e,{})},"Array | Matrix, Object":function(e,t){return a(e,t)},"Array | Matrix, number":function(e,t){return a(e,{number:t})},"Array | Matrix, Array | Matrix":function(e,t){return a(e,{weights:t})},"Array | Matrix, Array | Matrix, number":function(e,t,r){return a(e,{number:r,weights:t})},"Array | Matrix, number, Array | Matrix":function(e,t,r){return a(e,{number:t,weights:r})}});function a(e,t){var r=t.number,n=t.weights,a=t.elementWise,s=void 0===a||a,u=void 0===r;u&&(r=1);var c=m(e)?e.create:m(n)?n.create:null;e=e.valueOf(),n&&(n=n.valueOf()),!0===s&&(e=Re(e),n=Re(n));var f=0;if(void 0!==n){if(n.length!==e.length)throw new Error("Weights must have the same length as possibles");for(var l=0,p=n.length;l<p;l++){if(!o(n[l])||n[l]<0)throw new Error("Weights must be an array of positive numbers");f+=n[l]}}for(var h,d=e.length,v=[];v.length<r;){if(void 0===n)h=e[Math.floor(i()*d)];else for(var y=i()*f,g=0,x=e.length;g<x;g++)if((y-=n[g])<0){h=e[g];break}v.push(h)}return u?v[0]:c?c(v):v}}));function kc(e,t){var r=[];if((e=e.slice(0)).length>1)for(var n=0,i=e.shift();n<i;n++)r.push(kc(e,t));else for(var a=0,o=e.shift();a<o;a++)r.push(t());return r}var zc=Qe("random",["typed","config","?on"],(function(e){var t=e.typed,r=e.config,n=e.on,i=_c(r.randomSeed);return n&&n("config",(function(e,t){e.randomSeed!==t.randomSeed&&(i=_c(e.randomSeed))})),t("random",{"":function(){return o(0,1)},number:function(e){return o(0,e)},"number, number":function(e,t){return o(e,t)},"Array | Matrix":function(e){return a(e,0,1)},"Array | Matrix, number":function(e,t){return a(e,0,t)},"Array | Matrix, number, number":function(e,t,r){return a(e,t,r)}});function a(e,t,r){var n=kc(e.valueOf(),(function(){return o(t,r)}));return m(e)?e.create(n):n}function o(e,t){return e+i()*(t-e)}})),Rc=Qe("randomInt",["typed","config","?on"],(function(e){var t=e.typed,r=e.config,n=e.on,i=_c(r.randomSeed);return n&&n("config",(function(e,t){e.randomSeed!==t.randomSeed&&(i=_c(e.randomSeed))})),t("randomInt",{"":function(){return o(0,1)},number:function(e){return o(0,e)},"number, number":function(e,t){return o(e,t)},"Array | Matrix":function(e){return a(e,0,1)},"Array | Matrix, number":function(e,t){return a(e,0,t)},"Array | Matrix, number, number":function(e,t,r){return a(e,t,r)}});function a(e,t,r){var n=kc(e.valueOf(),(function(){return o(t,r)}));return m(e)?e.create(n):n}function o(e,t){return Math.floor(e+i()*(t-e))}})),qc=Qe("stirlingS2",["typed","addScalar","subtract","multiplyScalar","divideScalar","pow","factorial","combinations","isNegative","isInteger","number","?bignumber","larger"],(function(e){var t=e.typed,r=e.addScalar,n=(e.subtract,e.multiplyScalar),i=(e.divideScalar,e.pow,e.factorial,e.combinations,e.isNegative),a=e.isInteger,s=e.number,u=e.bignumber,c=e.larger,f=[],l=[];return t("stirlingS2",{"number | BigNumber, number | BigNumber":function(e,t){if(!a(e)||i(e)||!a(t)||i(t))throw new TypeError("Non-negative integer value expected in function stirlingS2");if(c(t,e))throw new TypeError("k must be less than or equal to n in function stirlingS2");var p=!(o(e)&&o(t)),m=p?l:f,h=p?u:s,d=s(e),v=s(t);if(m[d]&&m[d].length>v)return m[d][v];for(var y=0;y<=d;++y)if(m[y]||(m[y]=[h(0===y?1:0)]),0!==y)for(var g=m[y],x=m[y-1],b=g.length;b<=y&&b<=v;++b)g[b]=b===y?1:r(n(h(b),x[b]),x[b-1]);return m[d][v]}})})),Bc=Qe("bellNumbers",["typed","addScalar","isNegative","isInteger","stirlingS2"],(function(e){var t=e.typed,r=e.addScalar,n=e.isNegative,i=e.isInteger,a=e.stirlingS2;return t("bellNumbers",{"number | BigNumber":function(e){if(!i(e)||n(e))throw new TypeError("Non-negative integer value expected in function bellNumbers");for(var t=0,o=0;o<=e;o++)t=r(t,a(e,o));return t}})})),Dc=Qe("catalan",["typed","addScalar","divideScalar","multiplyScalar","combinations","isNegative","isInteger"],(function(e){var t=e.typed,r=e.addScalar,n=e.divideScalar,i=e.multiplyScalar,a=e.combinations,o=e.isNegative,s=e.isInteger;return t("catalan",{"number | BigNumber":function(e){if(!s(e)||o(e))throw new TypeError("Non-negative integer value expected in function catalan");return n(a(i(e,2),e),r(e,1))}})})),jc=Qe("composition",["typed","addScalar","combinations","isNegative","isPositive","isInteger","larger"],(function(e){var t=e.typed,r=e.addScalar,n=e.combinations,i=e.isPositive,a=(e.isNegative,e.isInteger),o=e.larger;return t("composition",{"number | BigNumber, number | BigNumber":function(e,t){if(!(a(e)&&i(e)&&a(t)&&i(t)))throw new TypeError("Positive integer value expected in function composition");if(o(t,e))throw new TypeError("k must be less than or equal to n in function composition");return n(r(e,-1),r(t,-1))}})})),Pc=Qe("leafCount",["parse","typed"],(function(e){var t=e.parse;return(0,e.typed)("leafCount",{string:function(e){return this(t(e))},Node:function(e){return function e(t){var r=0;return t.forEach((function(t){r+=e(t)})),r||1}(e)}})}));r(273);function Fc(e,t){var r=Object.keys(e);if(Object.getOwnPropertySymbols){var n=Object.getOwnPropertySymbols(e);t&&(n=n.filter((function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable}))),r.push.apply(r,n)}return r}function Uc(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?Fc(Object(r),!0).forEach((function(t){go()(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):Fc(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}var Lc=Qe("simplifyUtil",["FunctionNode","OperatorNode","SymbolNode"],(function(e){var t=e.FunctionNode,r=e.OperatorNode,n=e.SymbolNode,i=!0,a=!1,o={add:{trivial:i,total:i,commutative:i,associative:i},unaryPlus:{trivial:i,total:i,commutative:i,associative:i},subtract:{trivial:a,total:i,commutative:a,associative:a},multiply:{trivial:i,total:i,commutative:i,associative:i},divide:{trivial:a,total:i,commutative:a,associative:a},paren:{trivial:i,total:i,commutative:i,associative:a},defaultF:{trivial:a,total:i,commutative:a,associative:a}};function s(e,t){var r=arguments.length>2&&void 0!==arguments[2]?arguments[2]:o,n="defaultF";if("string"==typeof e?n=e:P(e)?n=e.fn.toString():q(e)?n=e.name:F(e)&&(n="paren"),Je(r,n)){var i=r[n];if(Je(i,t))return i[t];if(Je(o,n))return o[n][t]}if(Je(r,"defaultF")){var a=r.defaultF;return Je(a,t)?a[t]:o.defaultF[t]}if(Je(o,n)){var s=o[n];if(Je(s,t))return s[t]}return o.defaultF[t]}function u(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:o;return s(e,"associative",t)}function c(e,t){var r,n=[];return u(e,t)?(r=e.op,function e(t){for(var i=0;i<t.args.length;i++){var a=t.args[i];P(a)&&r===a.op?e(a):n.push(a)}}(e),n):e.args}function f(e){return P(e)?function(t){try{return new r(e.op,e.fn,t,e.implicit)}catch(e){return console.error(e),[]}}:function(r){return new t(new n(e.name),r)}}return{createMakeNodeFunction:f,hasProperty:s,isCommutative:function(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:o;return s(e,"commutative",t)},isAssociative:u,mergeContext:function(e,t){var r=Uc({},e);for(var n in t)Je(e,n)?r[n]=Uc(Uc({},t[n]),e[n]):r[n]=t[n];return r},flatten:function e(t,r){if(!t.args||0===t.args.length)return t;t.args=c(t,r);for(var n=0;n<t.args.length;n++)e(t.args[n],r)},allChildren:c,unflattenr:function e(t,r){if(t.args&&0!==t.args.length){for(var n=f(t),i=t.args.length,a=0;a<i;a++)e(t.args[a],r);if(i>2&&u(t,r)){for(var o=t.args.pop();t.args.length>0;)o=n([t.args.pop(),o]);t.args=o.args}}},unflattenl:function e(t,r){if(t.args&&0!==t.args.length){for(var n=f(t),i=t.args.length,a=0;a<i;a++)e(t.args[a],r);if(i>2&&u(t,r)){for(var o=t.args.shift();t.args.length>0;)o=n([o,t.args.shift()]);t.args=o.args}}},defaultContext:o,realContext:{divide:{total:a},log:{total:a}},positiveContext:{subtract:{total:a},abs:{trivial:i},log:{total:i}}}}));function $c(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(!e)return;if("string"==typeof e)return Hc(e,t);var r=Object.prototype.toString.call(e).slice(8,-1);"Object"===r&&e.constructor&&(r=e.constructor.name);if("Map"===r||"Set"===r)return Array.from(e);if("Arguments"===r||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(r))return Hc(e,t)}(e))||t&&e&&"number"==typeof e.length){r&&(e=r);var n=0,i=function(){};return{s:i,n:function(){return n>=e.length?{done:!0}:{done:!1,value:e[n++]}},e:function(e){throw e},f:i}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var a,o=!0,s=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){s=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(s)throw a}}}}function Hc(e,t){(null==t||t>e.length)&&(t=e.length);for(var r=0,n=new Array(t);r<t;r++)n[r]=e[r];return n}var Gc=Qe("simplifyConstant",["typed","config","mathWithTransform","matrix","?fraction","?bignumber","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","SymbolNode"],(function(e){var t=e.typed,r=e.config,n=e.mathWithTransform,i=e.matrix,o=e.fraction,s=e.bignumber,u=e.AccessorNode,f=e.ArrayNode,l=e.ConstantNode,p=e.FunctionNode,h=e.IndexNode,d=e.ObjectNode,v=e.OperatorNode,y=e.SymbolNode,g=Lc({FunctionNode:p,OperatorNode:v,SymbolNode:y}),x=g.isCommutative,b=g.isAssociative,w=g.allChildren,N=g.createMakeNodeFunction;function M(e,t){return O(function e(t,r){switch(t.type){case"SymbolNode":return t;case"ConstantNode":switch(a()(t.value)){case"number":return _(t.value,r);case"string":return t.value;default:if(!isNaN(t.value))return _(t.value,r)}return t;case"FunctionNode":if(n[t.name]&&n[t.name].rawArgs)return t;if(-1===["add","multiply"].indexOf(t.name)){var o=t.args.map((function(t){return e(t,r)}));if(!o.some(D))try{return S(t.name,o,r)}catch(e){}if("size"===t.name&&1===o.length&&T(o[0])){for(var s=[],c=o[0];T(c);)s.push(c.items.length),c=c.items[0];return i(s)}return new p(t.name,o.map(O))}case"OperatorNode":var v,y,g=t.fn.toString(),E=N(t);if(P(t)&&t.isUnary())v=[e(t.args[0],r)],y=D(v[0])?E(v):S(g,v,r);else if(b(t,r.context))if(v=(v=w(t,r.context)).map((function(t){return e(t,r)})),x(g,r.context)){for(var A=[],C=[],I=0;I<v.length;I++)D(v[I])?C.push(v[I]):A.push(v[I]);A.length>1?(y=k(g,A,E,r),C.unshift(y),y=k(g,C,E,r)):y=k(g,v,E,r)}else y=k(g,v,E,r);else v=t.args.map((function(t){return e(t,r)})),y=k(g,v,E,r);return y;case"ParenthesisNode":return e(t.content,r);case"AccessorNode":return function(e,t,r){if(!B(t))return new u(O(e),O(t));if(T(e)||m(e)){for(var n=Array.from(t.dimensions);n.length>0;)if(z(n[0])&&"string"!=typeof n[0].value){var a=_(n.shift().value,r);T(e)?e=e.items[a-1]:(e=e.valueOf()[a-1])instanceof Array&&(e=i(e))}else{if(!(n.length>1&&z(n[1])&&"string"!=typeof n[1].value))break;var o,s=_(n[1].value,r),c=[],p=T(e)?e.items:e.valueOf(),d=$c(p);try{for(d.s();!(o=d.n()).done;){var v=o.value;if(T(v))c.push(v.items[s-1]);else{if(!m(e))break;c.push(v[s-1])}}}catch(e){d.e(e)}finally{d.f()}if(c.length!==p.length)break;e=T(e)?new f(c):i(c),n.splice(1,1)}return n.length===t.dimensions.length?new u(O(e),t):n.length>0?(t=new h(n),new u(O(e),t)):e}if(j(e)&&1===t.dimensions.length&&z(t.dimensions[0])){var y=t.dimensions[0].value;return y in e.properties?e.properties[y]:new l}return new u(O(e),t)}(e(t.object,r),e(t.index,r),r);case"ArrayNode":var R=t.items.map((function(t){return e(t,r)}));return R.some(D)?new f(R.map(O)):i(R);case"IndexNode":return new h(t.dimensions.map((function(e){return M(e,r)})));case"ObjectNode":var q={};for(var F in t.properties)q[F]=M(t.properties[F],r);return new d(q);case"AssignmentNode":case"BlockNode":case"FunctionAssignmentNode":case"RangeNode":case"ConditionalNode":default:throw new Error("Unimplemented node type in simplifyConstant: ".concat(t.type))}}(e,t))}function E(e){return c(e)?e.valueOf():e instanceof Array?e.map(E):m(e)?i(E(e.valueOf())):e}function S(e,t,r){try{return n[e].apply(null,t)}catch(i){return t=t.map(E),_(n[e].apply(null,t),r)}}var A=t({Fraction:function(e){var t,r=e.s*e.n;t=r<0?new v("-","unaryMinus",[new l(-r)]):new l(r);if(1===e.d)return t;return new v("/","divide",[t,new l(e.d)])},number:function(e){return e<0?I(new l(-e)):new l(e)},BigNumber:function(e){return e<0?I(new l(-e)):new l(e)},Complex:function(e){throw new Error("Cannot convert Complex number to Node")},string:function(e){return new l(e)},Matrix:function(e){return new f(e.valueOf().map((function(e){return A(e)})))}});function O(e){return D(e)?e:A(e)}function C(e,t){if(t&&!1!==t.exactFractions&&isFinite(e)&&o){var r=o(e),n=t&&"number"==typeof t.fractionsLimit?t.fractionsLimit:1/0;if(r.valueOf()===e&&r.n<n&&r.d<n)return r}return e}var _=t({"string, Object":function(e,t){return"BigNumber"===r.number?(void 0===s&&Fi(),s(e)):"Fraction"===r.number?(void 0===o&&Ui(),o(e)):C(parseFloat(e),t)},"Fraction, Object":function(e,t){return e},"BigNumber, Object":function(e,t){return e},"number, Object":function(e,t){return C(e,t)},"Complex, Object":function(e,t){return 0!==e.im?e:C(e.re,t)},"Matrix, Object":function(e,t){return i(C(e.valueOf()))},"Array, Object":function(e,t){return e.map(C)}});function I(e){return new v("-","unaryMinus",[e])}function k(e,t,r,n){return t.reduce((function(t,i){if(D(t)||D(i))D(t)?D(i)||(i=A(i)):t=A(t);else{try{return S(e,[t,i],n)}catch(e){}t=A(t),i=A(i)}return r([t,i])}))}return M})),Vc=Qe("simplify",["config","typed","parse","add","subtract","multiply","divide","pow","isZero","equal","resolve","simplifyCore","?fraction","?bignumber","mathWithTransform","matrix","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","ParenthesisNode","SymbolNode"],(function(e){var t=e.config,r=e.typed,n=e.parse,i=(e.add,e.subtract,e.multiply,e.divide,e.pow,e.isZero,e.equal),o=e.resolve,s=e.simplifyCore,u=e.fraction,c=e.bignumber,f=e.mathWithTransform,l=e.matrix,p=e.AccessorNode,m=e.ArrayNode,h=e.ConstantNode,d=e.FunctionNode,v=e.IndexNode,y=e.ObjectNode,g=e.OperatorNode,x=e.ParenthesisNode,b=e.SymbolNode,w=Gc({typed:r,config:t,mathWithTransform:f,matrix:l,fraction:u,bignumber:c,AccessorNode:p,ArrayNode:m,ConstantNode:h,FunctionNode:d,IndexNode:v,ObjectNode:y,OperatorNode:g,SymbolNode:b}),N=Lc({FunctionNode:d,OperatorNode:g,SymbolNode:b}),M=N.hasProperty,E=N.isCommutative,S=N.isAssociative,A=N.mergeContext,O=N.flatten,C=N.unflattenr,T=N.unflattenl,_=N.createMakeNodeFunction,I=N.defaultContext,k=N.realContext,R=N.positiveContext,q=r("simplify",{string:function(e){return this(n(e),this.rules,dt(),{})},"string, Map | Object":function(e,t){return this(n(e),this.rules,t,{})},"string, Map | Object, Object":function(e,t,r){return this(n(e),this.rules,t,r)},"string, Array":function(e,t){return this(n(e),t,dt(),{})},"string, Array, Map | Object":function(e,t,r){return this(n(e),t,r,{})},"string, Array, Map | Object, Object":function(e,t,r,i){return this(n(e),t,r,i)},"Node, Map | Object":function(e,t){return this(e,this.rules,t,{})},"Node, Map | Object, Object":function(e,t,r){return this(e,this.rules,t,r)},Node:function(e){return this(e,this.rules,dt(),{})},"Node, Array":function(e,t){return this(e,t,dt(),{})},"Node, Array, Map | Object":function(e,t,r){return this(e,t,r,{})},"Node, Array, Object, Object":function(e,t,r,n){return this(e,t,vt(r),n)},"Node, Array, Map, Object":function(e,t,r,n){var i=n.consoleDebug;t=function(e,t){for(var r=[],n=0;n<e.length;n++){var i=e[n],o=void 0,s=a()(i);switch(s){case"string":i={s:i};case"object":o=j(i,t);break;case"function":o=i;break;default:throw TypeError("Unsupported type of rule: "+s)}r.push(o)}return r}(t,n.context);for(var s=o(e,r),u={},c=(s=B(s)).toString({parenthesis:"all"});!u[c];){u[c]=!0,P=0;var f=c;i&&console.log("Working on: ",c);for(var l=0;l<t.length;l++){var p="";if("function"==typeof t[l]?(s=t[l](s,n),i&&(p=t[l].name)):(O(s,n.context),s=L(s,t[l],n.context),i&&(p="".concat(t[l].l.toString()," -> ").concat(t[l].r.toString()))),i){var m=s.toString({parenthesis:"all"});m!==f&&(console.log("Applying",p,"produced",m),f=m)}T(s,n.context)}c=s.toString({parenthesis:"all"})}return s}});function B(e){return e.transform((function(e,t,r){return F(e)?B(e.content):e}))}q.defaultContext=I,q.realContext=k,q.positiveContext=R;var D={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};function j(e,t){var r={};if(e.s){var i=e.s.split("->");if(2!==i.length)throw SyntaxError("Could not parse rule: "+e.s);r.l=i[0],r.r=i[1]}else r.l=e.l,r.r=e.r;r.l=B(n(r.l)),r.r=B(n(r.r));for(var a=0,o=["imposeContext","repeat","assuming"];a<o.length;a++){var s=o[a];s in e&&(r[s]=e[s])}if(e.evaluate&&(r.evaluate=n(e.evaluate)),S(r.l,t)){var u=_(r.l),c=new b("_p"+P++);r.expanded={},r.expanded.l=u([r.l.clone(),c]),O(r.expanded.l,t),C(r.expanded.l,t),r.expanded.r=u([r.r,c])}return r}q.rules=[s,{l:"log(e)",r:"1"},{s:"n-n1 -> n+-n1",assuming:{subtract:{total:!0}}},{s:"n-n -> 0",assuming:{subtract:{total:!1}}},{s:"-(c*v) -> v * (-c)",assuming:{multiply:{commutative:!0},subtract:{total:!0}}},{s:"-(c*v) -> (-c) * v",assuming:{multiply:{commutative:!1},subtract:{total:!0}}},{s:"-(v*c) -> v * (-c)",assuming:{multiply:{commutative:!1},subtract:{total:!0}}},{l:"-(n1/n2)",r:"-n1/n2"},{l:"-v",r:"v * (-1)"},{l:"(n1 + n2)*(-1)",r:"n1*(-1) + n2*(-1)",repeat:!0},{l:"n/n1^n2",r:"n*n1^-n2"},{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}}},{s:"(n ^ n1) ^ n2 -> n ^ (n1 * n2)",assuming:{divide:{total:!0}}},{l:" v * ( v * n1 + n2)",r:"v^2 * n1 + v * n2"},{s:" v * (v^n4 * n1 + n2) -> v^(1+n4) * n1 + v * n2",assuming:{divide:{total:!0}}},{s:"v^n3 * ( v * n1 + n2) -> v^(n3+1) * n1 + v^n3 * n2",assuming:{divide:{total:!0}}},{s:"v^n3 * (v^n4 * n1 + n2) -> v^(n3+n4) * n1 + v^n3 * n2",assuming:{divide:{total:!0}}},{l:"n*n",r:"n^2"},{s:"n * n^n1 -> n^(n1+1)",assuming:{divide:{total:!0}}},{s:"n^n1 * n^n2 -> n^(n1+n2)",assuming:{divide:{total:!0}}},w,{s:"n+n -> 2*n",assuming:{add:{total:!0}}},{l:"n+-n",r:"0"},{l:"v*n + v",r:"v*(n+1)"},{l:"n3*n1 + n3*n2",r:"n3*(n1+n2)"},{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)"},{s:"n*v + v -> (n+1)*v",assuming:{multiply:{commutative:!1}}},{s:"n1*n3 + n2*n3 -> (n1+n2)*n3",assuming:{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*c + c",r:"(n+1)*c"},{s:"c*n + c -> c*(n+1)",assuming:{multiply:{commutative:!1}}},w,{s:"(-n)*n1 -> -(n*n1)",assuming:{subtract:{total:!0}}},{s:"n1*(-n) -> -(n1*n)",assuming:{subtract:{total:!0},multiply:{commutative:!1}}},{s:"c+v -> v+c",assuming:{add:{commutative:!0}},imposeContext:{add:{commutative:!1}}},{s:"v*c -> c*v",assuming:{multiply:{commutative:!0}},imposeContext:{multiply:{commutative:!1}}},{l:"n+-n1",r:"n-n1"},{s:"n*(n1^-1) -> n/n1",assuming:{multiply:{commutative:!0}}},{s:"n*n1^-n2 -> n/n1^n2",assuming:{multiply:{commutative:!0}}},{s:"n^-1 -> 1/n",assuming:{multiply:{commutative:!0}}},{l:"n^1",r:"n"},{s:"n*(n1/n2) -> (n*n1)/n2",assuming:{multiply:{associative:!0}}},{s:"n-(n1+n2) -> n-n1-n2",assuming:{addition:{associative:!0,commutative:!0}}},{l:"1*n",r:"n",imposeContext:{multiply:{commutative:!0}}},{s:"n1/(n2/n3) -> (n1*n3)/n2",assuming:{multiply:{associative:!0}}},{l:"n1/(-n2)",r:"-n1/n2"}];var P=0;function U(e,t,r){var n=e;if(e)for(var i=0;i<e.length;++i){var a=L(e[i],t,r);a!==e[i]&&(n===e&&(n=e.slice()),n[i]=a)}return n}function L(e,t,r){if(t.assuming)for(var n in t.assuming)for(var i in t.assuming[n])if(M(n,i,r)!==t.assuming[n][i])return e;var a=A(t.imposeContext,r),o=e;if(o instanceof g||o instanceof d){var s=U(o.args,t,r);s!==o.args&&((o=o.clone()).args=s)}else if(o instanceof x){if(o.content){var u=L(o.content,t,r);u!==o.content&&(o=new x(u))}}else if(o instanceof m){var c=U(o.items,t,r);c!==o.items&&(o=new m(c))}else if(o instanceof p){var f=o.object;o.object&&(f=L(o.object,t,r));var l=o.index;o.index&&(l=L(o.index,t,r)),f===o.object&&l===o.index||(o=new p(f,l))}else if(o instanceof v){var h=U(o.dimensions,t,r);h!==o.dimensions&&(o=new v(h))}else if(o instanceof y){var b=!1,w={};for(var N in o.properties)w[N]=L(o.properties[N],t,r),w[N]!==o.properties[N]&&(b=!0);b&&(o=new y(w))}var E=t.r,S=G(t.l,o,a)[0];if(!S&&t.expanded&&(E=t.expanded.r,S=G(t.expanded.l,o,a)[0]),S){var O=o.implicit;o=E.clone(),O&&"implicit"in E&&(o.implicit=!0),o=o.transform((function(e){return e.isSymbolNode&&Je(S.placeholders,e.name)?S.placeholders[e.name].clone():e}))}return t.repeat&&o!==e&&(o=L(o,t,r)),o}function $(e,t){var r={placeholders:{}};if(!e.placeholders&&!t.placeholders)return r;if(!e.placeholders)return t;if(!t.placeholders)return e;for(var n in e.placeholders)if(Je(e.placeholders,n)&&(r.placeholders[n]=e.placeholders[n],Je(t.placeholders,n)&&!V(e.placeholders[n],t.placeholders[n])))return null;for(var i in t.placeholders)Je(t.placeholders,i)&&(r.placeholders[i]=t.placeholders[i]);return r}function H(e,t){var r,n=[];if(0===e.length||0===t.length)return n;for(var i=0;i<e.length;i++)for(var a=0;a<t.length;a++)(r=$(e[i],t[a]))&&n.push(r);return n}function G(e,t,r,n){var a=[{placeholders:{}}];if(e instanceof g&&t instanceof g||e instanceof d&&t instanceof d){if(e instanceof g){if(e.op!==t.op||e.fn!==t.fn)return[]}else if(e instanceof d&&e.name!==t.name)return[];if(!(1===t.args.length&&1===e.args.length||!S(t,r)&&t.args.length===e.args.length||n)){if(t.args.length>=2&&2===e.args.length){for(var o=function(e,t){var r,n,i=[],a=_(e);if(E(e,t))for(var o=0;o<e.args.length;o++)(n=e.args.slice(0)).splice(o,1),r=1===n.length?n[0]:a(n),i.push(a([e.args[o],r]));else for(var s=1;s<e.args.length;s++){var u=e.args[0];s>1&&(u=a(e.args.slice(0,s))),r=1===(n=e.args.slice(s)).length?n[0]:a(n),i.push(a([u,r]))}return i}(t,r),s=[],u=0;u<o.length;u++){var c=G(e,o[u],r,!0);s=s.concat(c)}return s}if(e.args.length>2)throw Error("Unexpected non-binary associative function: "+e.toString());return[]}for(var f=[],l=0;l<e.args.length;l++){var p=G(e.args[l],t.args[l],r);if(0===p.length)break;f.push(p)}if(f.length!==e.args.length){if(!E(t,r)||1===e.args.length)return[];if(e.args.length>2)throw new Error("permuting >2 commutative non-associative rule arguments not yet implemented");var m=G(e.args[0],t.args[1],r);if(0===m.length)return[];var v=G(e.args[1],t.args[0],r);if(0===v.length)return[];f=[m,v]}a=function(e){if(0===e.length)return e;for(var t=e.reduce(H),r=[],n={},i=0;i<t.length;i++){var a=JSON.stringify(t[i]);n[a]||(n[a]=!0,r.push(t[i]))}return r}(f)}else if(e instanceof b){if(0===e.name.length)throw new Error("Symbol in rule has 0 length...!?");if(D[e.name]){if(e.name!==t.name)return[]}else if("n"===e.name[0]||"_p"===e.name.substring(0,2))a[0].placeholders[e.name]=t;else if("v"===e.name[0]){if(z(t))return[];a[0].placeholders[e.name]=t}else{if("c"!==e.name[0])throw new Error("Invalid symbol in rule: "+e.name);if(!(t instanceof h))return[];a[0].placeholders[e.name]=t}}else{if(!(e instanceof h))return[];if(!i(e.value,t.value))return[]}return a}function V(e,t){if(e instanceof h&&t instanceof h){if(!i(e.value,t.value))return!1}else if(e instanceof b&&t instanceof b){if(e.name!==t.name)return!1}else{if(!(e instanceof g&&t instanceof g||e instanceof d&&t instanceof d))return!1;if(e instanceof g){if(e.op!==t.op||e.fn!==t.fn)return!1}else if(e instanceof d&&e.name!==t.name)return!1;if(e.args.length!==t.args.length)return!1;for(var r=0;r<e.args.length;r++)if(!V(e.args[r],t.args[r]))return!1}return!0}return q})),Zc=Qe("simplifyCore",["equal","isZero","add","subtract","multiply","divide","pow","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","ParenthesisNode","SymbolNode"],(function(e){var t=e.equal,r=e.isZero,n=e.add,i=e.subtract,a=e.multiply,o=e.divide,s=e.pow,u=e.AccessorNode,c=e.ArrayNode,f=e.ConstantNode,l=e.FunctionNode,p=e.IndexNode,m=e.ObjectNode,h=e.OperatorNode,d=(e.ParenthesisNode,e.SymbolNode),v=new f(0),y=new f(1),g=Lc({FunctionNode:l,OperatorNode:h,SymbolNode:d}),x=g.hasProperty,b=g.isCommutative;return function e(d,g){var w=g?g.context:void 0;if(x(d,"trivial",w)){if(q(d)&&1===d.args.length)return e(d.args[0],g);var N=!1,M=0;if(d.forEach((function(t){1===++M&&(N=e(t,g))})),1===M)return N}if(P(d)&&d.isUnary()){var E=e(d.args[0],g);if("-"===d.op){if(P(E)){if(E.isUnary()&&"-"===E.op)return E.args[0];if(E.isBinary()&&"subtract"===E.fn)return new h("-","subtract",[E.args[1],E.args[0]])}return new h(d.op,d.fn,[E])}}else{if(P(d)&&d.isBinary()){var S=e(d.args[0],g),A=e(d.args[1],g);if("+"===d.op){if(z(S)){if(r(S.value))return A;if(z(A))return new f(n(S.value,A.value))}return z(A)&&r(A.value)?S:P(A)&&A.isUnary()&&"-"===A.op?new h("-","subtract",[S,A.args[0]]):new h(d.op,d.fn,A?[S,A]:[S])}if("-"===d.op){if(z(S)&&A){if(z(A))return new f(i(S.value,A.value));if(r(S.value))return new h("-","unaryMinus",[A])}if("subtract"===d.fn)return z(A)&&r(A.value)?S:P(A)&&A.isUnary()&&"-"===A.op?e(new h("+","add",[S,A.args[0]]),g):new h(d.op,d.fn,[S,A])}else{if("*"===d.op){if(z(S)){if(r(S.value))return v;if(t(S.value,1))return A;if(z(A))return new f(a(S.value,A.value))}if(z(A)){if(r(A.value))return v;if(t(A.value,1))return S;if(P(S)&&S.isBinary()&&S.op===d.op&&b(d,w)){var O=S.args[0];if(z(O)){var _=new f(a(O.value,A.value));return new h(d.op,d.fn,[_,S.args[1]],d.implicit)}}return b(d,w)?new h(d.op,d.fn,[A,S],d.implicit):new h(d.op,d.fn,[S,A],d.implicit)}return new h(d.op,d.fn,[S,A],d.implicit)}if("/"===d.op){if(z(S)){if(r(S.value))return v;if(z(A)&&(t(A.value,1)||t(A.value,2)||t(A.value,4)))return new f(o(S.value,A.value))}return new h(d.op,d.fn,[S,A])}if("^"===d.op&&z(A)){if(r(A.value))return y;if(t(A.value,1))return S;if(z(S))return new f(s(S.value,A.value));if(P(S)&&S.isBinary()&&"^"===S.op){var I=S.args[1];if(z(I))return new h(d.op,d.fn,[S.args[0],new f(a(I.value,A.value))])}}}return new h(d.op,d.fn,[S,A])}if(q(d))return new l(e(d.fn),d.args.map((function(t){return e(t,g)})));if(T(d))return new c(d.items.map((function(t){return e(t,g)})));if(C(d))return new u(e(d.object,g),e(d.index,g));if(B(d))return new p(d.dimensions.map((function(t){return e(t,g)})));if(j(d)){var k={};for(var R in d.properties)k[R]=e(d.properties[R],g);return new m(k)}}return d}})),Wc=Qe("resolve",["parse","ConstantNode","FunctionNode","OperatorNode","ParenthesisNode"],(function(e){var t=e.parse,r=e.ConstantNode,n=e.FunctionNode,i=e.OperatorNode,a=e.ParenthesisNode;return function e(o,s){var u=arguments.length>2&&void 0!==arguments[2]?arguments[2]:new Set;if(!s)return o;if(yt(s)||(s=vt(s)),L(o)){if(u.has(o.name)){var c=Array.from(u).join(", ");throw new ReferenceError("recursive loop of variable definitions among {".concat(c,"}"))}var f=s.get(o.name);if(D(f)){var l=new Set(u);return l.add(o.name),e(f,s,l)}return"number"==typeof f?t(String(f)):void 0!==f?new r(f):o}if(P(o)){var p=o.args.map((function(t){return e(t,s,u)}));return new i(o.op,o.fn,p,o.implicit)}if(F(o))return new a(e(o.content,s,u));if(q(o)){var m=o.args.map((function(t){return e(t,s,u)}));return new n(o.name,m)}return o.map((function(t){return e(t,s,u)}))}})),Yc=Qe("symbolicEqual",["parse","simplify","typed","OperatorNode"],(function(e){var t=e.parse,r=e.simplify,n=e.typed,i=e.OperatorNode;return n("symbolicEqual",{"string, string":function(e,r){return this(t(e),t(r),{})},"string, string, Object":function(e,r,n){return this(t(e),t(r),n)},"Node, string":function(e,r){return this(e,t(r),{})},"Node, string, Object":function(e,r,n){return this(e,t(r),n)},"string, Node":function(e,r){return this(t(e),r,{})},"string, Node, Object":function(e,r,n){return this(t(e),r,n)},"Node, Node":function(e,t){return this(e,t,{})},"Node, Node, Object":function(e,t,n){var a=new i("-","subtract",[e,t]),o=r(a,{},n);return z(o)&&!o.value}})})),Jc=Qe("derivative",["typed","config","parse","simplify","equal","isZero","numeric","ConstantNode","FunctionNode","OperatorNode","ParenthesisNode","SymbolNode"],(function(e){var t=e.typed,r=e.config,n=e.parse,i=e.simplify,a=e.equal,o=e.isZero,s=e.numeric,u=e.ConstantNode,c=e.FunctionNode,f=e.OperatorNode,l=e.ParenthesisNode,p=e.SymbolNode,m=t("derivative",{"Node, SymbolNode, Object":function(e,t,r){var n={};d(n,e,t.name);var a=v(e,n);return r.simplify?i(a):a},"Node, SymbolNode":function(e,t){return this(e,t,{simplify:!0})},"string, SymbolNode":function(e,t){return this(n(e),t)},"string, SymbolNode, Object":function(e,t,r){return this(n(e),t,r)},"string, string":function(e,t){return this(n(e),n(t))},"string, string, Object":function(e,t,r){return this(n(e),n(t),r)},"Node, string":function(e,t){return this(e,n(t))},"Node, string, Object":function(e,t,r){return this(e,n(t),r)}});m._simplify=!0,m.toTex=function(e){return h.apply(null,e.args)};var h=t("_derivTex",{"Node, SymbolNode":function(e,t){return z(e)&&"string"===H(e.value)?h(n(e.value).toString(),t.toString(),1):h(e.toTex(),t.toString(),1)},"Node, ConstantNode":function(e,t){if("string"===H(t.value))return h(e,n(t.value));throw new Error("The second parameter to 'derivative' is a non-string constant")},"Node, SymbolNode, ConstantNode":function(e,t,r){return h(e.toString(),t.name,r.value)},"string, string, number":function(e,t,r){return(1===r?"{d\\over d"+t+"}":"{d^{"+r+"}\\over d"+t+"^{"+r+"}}")+"\\left[".concat(e,"\\right]")}}),d=t("constTag",{"Object, ConstantNode, string":function(e,t){return e[t]=!0,!0},"Object, SymbolNode, string":function(e,t,r){return t.name!==r&&(e[t]=!0,!0)},"Object, ParenthesisNode, string":function(e,t,r){return d(e,t.content,r)},"Object, FunctionAssignmentNode, string":function(e,t,r){return-1===t.params.indexOf(r)?(e[t]=!0,!0):d(e,t.expr,r)},"Object, FunctionNode | OperatorNode, string":function(e,t,r){if(t.args.length>0){for(var n=d(e,t.args[0],r),i=1;i<t.args.length;++i)n=d(e,t.args[i],r)&&n;if(n)return e[t]=!0,!0}return!1}}),v=t("_derivative",{"ConstantNode, Object":function(e){return y(0)},"SymbolNode, Object":function(e,t){return void 0!==t[e]?y(0):y(1)},"ParenthesisNode, Object":function(e,t){return new l(v(e.content,t))},"FunctionAssignmentNode, Object":function(e,t){return void 0!==t[e]?y(0):v(e.expr,t)},"FunctionNode, Object":function(e,t){if(1!==e.args.length&&function(e){if(("log"===e.name||"nthRoot"===e.name||"pow"===e.name)&&2===e.args.length)return;for(var t=0;t<e.args.length;++t)e.args[t]=y(0);throw e.compile().evaluate(),new Error("Expected TypeError, but none found")}(e),void 0!==t[e])return y(0);var r,n,i,a,o=e.args[0],s=!1,u=!1;switch(e.name){case"cbrt":s=!0,n=new f("*","multiply",[y(3),new f("^","pow",[o,new f("/","divide",[y(2),y(3)])])]);break;case"sqrt":case"nthRoot":if(1===e.args.length)s=!0,n=new f("*","multiply",[y(2),new c("sqrt",[o])]);else if(2===e.args.length)return t[r=new f("/","divide",[y(1),e.args[1]])]=t[e.args[1]],v(new f("^","pow",[o,r]),t);break;case"log10":r=y(10);case"log":if(r||1!==e.args.length){if(1===e.args.length&&r||2===e.args.length&&void 0!==t[e.args[1]])n=new f("*","multiply",[o.clone(),new c("log",[r||e.args[1]])]),s=!0;else if(2===e.args.length)return v(new f("/","divide",[new c("log",[o]),new c("log",[e.args[1]])]),t)}else n=o.clone(),s=!0;break;case"pow":return t[r]=t[e.args[1]],v(new f("^","pow",[o,e.args[1]]),t);case"exp":n=new c("exp",[o.clone()]);break;case"sin":n=new c("cos",[o.clone()]);break;case"cos":n=new f("-","unaryMinus",[new c("sin",[o.clone()])]);break;case"tan":n=new f("^","pow",[new c("sec",[o.clone()]),y(2)]);break;case"sec":n=new f("*","multiply",[e,new c("tan",[o.clone()])]);break;case"csc":u=!0,n=new f("*","multiply",[e,new c("cot",[o.clone()])]);break;case"cot":u=!0,n=new f("^","pow",[new c("csc",[o.clone()]),y(2)]);break;case"asin":s=!0,n=new c("sqrt",[new f("-","subtract",[y(1),new f("^","pow",[o.clone(),y(2)])])]);break;case"acos":s=!0,u=!0,n=new c("sqrt",[new f("-","subtract",[y(1),new f("^","pow",[o.clone(),y(2)])])]);break;case"atan":s=!0,n=new f("+","add",[new f("^","pow",[o.clone(),y(2)]),y(1)]);break;case"asec":s=!0,n=new f("*","multiply",[new c("abs",[o.clone()]),new c("sqrt",[new f("-","subtract",[new f("^","pow",[o.clone(),y(2)]),y(1)])])]);break;case"acsc":s=!0,u=!0,n=new f("*","multiply",[new c("abs",[o.clone()]),new c("sqrt",[new f("-","subtract",[new f("^","pow",[o.clone(),y(2)]),y(1)])])]);break;case"acot":s=!0,u=!0,n=new f("+","add",[new f("^","pow",[o.clone(),y(2)]),y(1)]);break;case"sinh":n=new c("cosh",[o.clone()]);break;case"cosh":n=new c("sinh",[o.clone()]);break;case"tanh":n=new f("^","pow",[new c("sech",[o.clone()]),y(2)]);break;case"sech":u=!0,n=new f("*","multiply",[e,new c("tanh",[o.clone()])]);break;case"csch":u=!0,n=new f("*","multiply",[e,new c("coth",[o.clone()])]);break;case"coth":u=!0,n=new f("^","pow",[new c("csch",[o.clone()]),y(2)]);break;case"asinh":s=!0,n=new c("sqrt",[new f("+","add",[new f("^","pow",[o.clone(),y(2)]),y(1)])]);break;case"acosh":s=!0,n=new c("sqrt",[new f("-","subtract",[new f("^","pow",[o.clone(),y(2)]),y(1)])]);break;case"atanh":s=!0,n=new f("-","subtract",[y(1),new f("^","pow",[o.clone(),y(2)])]);break;case"asech":s=!0,u=!0,n=new f("*","multiply",[o.clone(),new c("sqrt",[new f("-","subtract",[y(1),new f("^","pow",[o.clone(),y(2)])])])]);break;case"acsch":s=!0,u=!0,n=new f("*","multiply",[new c("abs",[o.clone()]),new c("sqrt",[new f("+","add",[new f("^","pow",[o.clone(),y(2)]),y(1)])])]);break;case"acoth":s=!0,u=!0,n=new f("-","subtract",[y(1),new f("^","pow",[o.clone(),y(2)])]);break;case"abs":n=new f("/","divide",[new c(new p("abs"),[o.clone()]),o.clone()]);break;case"gamma":default:throw new Error('Function "'+e.name+'" is not supported by derivative, or a wrong number of arguments is passed')}s?(i="/",a="divide"):(i="*",a="multiply");var l=v(o,t);return u&&(l=new f("-","unaryMinus",[l])),new f(i,a,[l,n])},"OperatorNode, Object":function(e,t){if(void 0!==t[e])return y(0);if("+"===e.op)return new f(e.op,e.fn,e.args.map((function(e){return v(e,t)})));if("-"===e.op){if(e.isUnary())return new f(e.op,e.fn,[v(e.args[0],t)]);if(e.isBinary())return new f(e.op,e.fn,[v(e.args[0],t),v(e.args[1],t)])}if("*"===e.op){var r=e.args.filter((function(e){return void 0!==t[e]}));if(r.length>0){var n=e.args.filter((function(e){return void 0===t[e]})),i=1===n.length?n[0]:new f("*","multiply",n),s=r.concat(v(i,t));return new f("*","multiply",s)}return new f("+","add",e.args.map((function(r){return new f("*","multiply",e.args.map((function(e){return e===r?v(e,t):e.clone()})))})))}if("/"===e.op&&e.isBinary()){var u=e.args[0],l=e.args[1];return void 0!==t[l]?new f("/","divide",[v(u,t),l]):void 0!==t[u]?new f("*","multiply",[new f("-","unaryMinus",[u]),new f("/","divide",[v(l,t),new f("^","pow",[l.clone(),y(2)])])]):new f("/","divide",[new f("-","subtract",[new f("*","multiply",[v(u,t),l.clone()]),new f("*","multiply",[u.clone(),v(l,t)])]),new f("^","pow",[l.clone(),y(2)])])}if("^"===e.op&&e.isBinary()){var p=e.args[0],m=e.args[1];if(void 0!==t[p])return z(p)&&(o(p.value)||a(p.value,1))?y(0):new f("*","multiply",[e,new f("*","multiply",[new c("log",[p.clone()]),v(m.clone(),t)])]);if(void 0!==t[m]){if(z(m)){if(o(m.value))return y(0);if(a(m.value,1))return v(p,t)}var h=new f("^","pow",[p.clone(),new f("-","subtract",[m,y(1)])]);return new f("*","multiply",[m.clone(),new f("*","multiply",[v(p,t),h])])}return new f("*","multiply",[new f("^","pow",[p.clone(),m.clone()]),new f("+","add",[new f("*","multiply",[v(p,t),new f("/","divide",[m.clone(),p.clone()])]),new f("*","multiply",[v(m,t),new c("log",[p.clone()])])])])}throw new Error('Operator "'+e.op+'" is not supported by derivative, or a wrong number of arguments is passed')}});function y(e,t){return new u(s(e,t||r.number))}return m})),Xc=Qe("rationalize",["config","typed","equal","isZero","add","subtract","multiply","divide","pow","parse","simplifyCore","simplify","?bignumber","?fraction","mathWithTransform","matrix","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","SymbolNode","ParenthesisNode"],(function(e){var t=e.config,r=e.typed,n=(e.equal,e.isZero,e.add,e.subtract,e.multiply,e.divide,e.pow,e.parse),i=e.simplifyCore,a=e.simplify,o=e.fraction,s=e.bignumber,u=e.mathWithTransform,c=e.matrix,f=e.AccessorNode,l=e.ArrayNode,p=e.ConstantNode,m=e.FunctionNode,h=e.IndexNode,d=e.ObjectNode,v=e.OperatorNode,y=e.SymbolNode,g=(e.ParenthesisNode,Gc({typed:r,config:t,mathWithTransform:u,matrix:c,fraction:o,bignumber:s,AccessorNode:f,ArrayNode:l,ConstantNode:p,FunctionNode:m,IndexNode:h,ObjectNode:d,OperatorNode:v,SymbolNode:y}));return r("rationalize",{string:function(e){return this(n(e),{},!1)},"string, boolean":function(e,t){return this(n(e),{},t)},"string, Object":function(e,t){return this(n(e),t,!1)},"string, Object, boolean":function(e,t,r){return this(n(e),t,r)},Node:function(e){return this(e,{},!1)},"Node, boolean":function(e,t){return this(e,{},t)},"Node, Object":function(e,t){return this(e,t,!1)},"Node, Object, boolean":function(e,t,r){var n=function(){var e=[i,{l:"n+n",r:"2*n"},{l:"n+-n",r:"0"},g,{l:"n*(n1^-1)",r:"n/n1"},{l:"n*n1^-n2",r:"n/n1^n2"},{l:"n1^-1",r:"1/n1"},{l:"n*(n1/n2)",r:"(n*n1)/n2"},{l:"1*n",r:"n"}],t=[{l:"(-n1)/(-n2)",r:"n1/n2"},{l:"(-n1)*(-n2)",r:"n1*n2"},{l:"n1--n2",r:"n1+n2"},{l:"n1-n2",r:"n1+(-n2)"},{l:"(n1+n2)*n3",r:"(n1*n3 + n2*n3)"},{l:"n1*(n2+n3)",r:"(n1*n2+n1*n3)"},{l:"c1*n + c2*n",r:"(c1+c2)*n"},{l:"c1*n + n",r:"(c1+1)*n"},{l:"c1*n - c2*n",r:"(c1-c2)*n"},{l:"c1*n - n",r:"(c1-1)*n"},{l:"v/c",r:"(1/c)*v"},{l:"v/-c",r:"-(1/c)*v"},{l:"-v*-c",r:"c*v"},{l:"-v*c",r:"-c*v"},{l:"v*-c",r:"-c*v"},{l:"v*c",r:"c*v"},{l:"-(-n1*n2)",r:"(n1*n2)"},{l:"-(n1*n2)",r:"(-n1*n2)"},{l:"-(-n1+n2)",r:"(n1-n2)"},{l:"-(n1+n2)",r:"(-n1-n2)"},{l:"(n1^n2)^n3",r:"(n1^(n2*n3))"},{l:"-(-n1/n2)",r:"(n1/n2)"},{l:"-(n1/n2)",r:"(-n1/n2)"}],r=[{l:"(n1/(n2/n3))",r:"((n1*n3)/n2)"},{l:"(n1/n2/n3)",r:"(n1/(n2*n3))"}],n={};return n.firstRules=e.concat(t,r),n.distrDivRules=[{l:"(n1/n2 + n3/n4)",r:"((n1*n4 + n3*n2)/(n2*n4))"},{l:"(n1/n2 + n3)",r:"((n1 + n3*n2)/n2)"},{l:"(n1 + n2/n3)",r:"((n1*n3 + n2)/n3)"}],n.sucDivRules=r,n.firstRulesAgain=e.concat(t),n.finalRules=[i,{l:"n*-n",r:"-n^2"},{l:"n*n",r:"n^2"},g,{l:"n*-n^n1",r:"-n^(n1+1)"},{l:"n*n^n1",r:"n^(n1+1)"},{l:"n^n1*-n^n2",r:"-n^(n1+n2)"},{l:"n^n1*n^n2",r:"n^(n1+n2)"},{l:"n^n1*-n",r:"-n^(n1+1)"},{l:"n^n1*n",r:"n^(n1+1)"},{l:"n^n1/-n",r:"-n^(n1-1)"},{l:"n^n1/n",r:"n^(n1-1)"},{l:"n/-n^n1",r:"-n^(1-n1)"},{l:"n/n^n1",r:"n^(1-n1)"},{l:"n^n1/-n^n2",r:"n^(n1-n2)"},{l:"n^n1/n^n2",r:"n^(n1-n2)"},{l:"n1+(-n2*n3)",r:"n1-n2*n3"},{l:"v*(-c)",r:"-c*v"},{l:"n1+-n2",r:"n1-n2"},{l:"v*c",r:"c*v"},{l:"(n1^n2)^n3",r:"(n1^(n2*n3))"}],n}(),o=function(e,t,r,n){var i=[],o=a(e,n,t,{exactFractions:!1}),s="+-*"+((r=!!r)?"/":"");!function e(t){var r=t.type;if("FunctionNode"===r)throw new Error("There is an unsolved function call");if("OperatorNode"===r)if("^"===t.op){if("ConstantNode"!==t.args[1].type||!Z(parseFloat(t.args[1].value)))throw new Error("There is a non-integer exponent");e(t.args[0])}else{if(-1===s.indexOf(t.op))throw new Error("Operator "+t.op+" invalid in polynomial expression");for(var n=0;n<t.args.length;n++)e(t.args[n])}else if("SymbolNode"===r){var a=t.name;-1===i.indexOf(a)&&i.push(a)}else if("ParenthesisNode"===r)e(t.content);else if("ConstantNode"!==r)throw new Error("type "+r+" is not allowed in polynomial expression")}(o);var u={};return u.expression=o,u.variables=i,u}(e,t,!0,n.firstRules),s=o.variables.length,u={exactFractions:!1},c={exactFractions:!0};if(e=o.expression,s>=1){var f,l;e=function e(t,r,n){var i=t.type,a=arguments.length>1;if("OperatorNode"===i&&t.isBinary()){var o,s=!1;if("^"===t.op&&("ParenthesisNode"!==t.args[0].type&&"OperatorNode"!==t.args[0].type||"ConstantNode"!==t.args[1].type||(o=parseFloat(t.args[1].value),s=o>=2&&Z(o))),s){if(o>2){var u=t.args[0],c=new v("^","pow",[t.args[0].cloneDeep(),new p(o-1)]);t=new v("*","multiply",[u,c])}else t=new v("*","multiply",[t.args[0],t.args[0].cloneDeep()]);a&&("content"===n?r.content=t:r.args[n]=t)}}if("ParenthesisNode"===i)e(t.content,t,"content");else if("ConstantNode"!==i&&"SymbolNode"!==i)for(var f=0;f<t.args.length;f++)e(t.args[f],t,f);if(!a)return t}(e);var m,h=!0,d=!1;for(e=a(e,n.firstRules,{},u);l=h?n.distrDivRules:n.sucDivRules,h=!h,(m=(e=a(e,l,{},c)).toString())!==f;)d=!0,f=m;d&&(e=a(e,n.firstRulesAgain,{},u)),e=a(e,n.finalRules,{},u)}var y=[],b={};return"OperatorNode"===e.type&&e.isBinary()&&"/"===e.op?(1===s&&(e.args[0]=x(e.args[0],y),e.args[1]=x(e.args[1])),r&&(b.numerator=e.args[0],b.denominator=e.args[1])):(1===s&&(e=x(e,y)),r&&(b.numerator=e,b.denominator=null)),r?(b.coefficients=y,b.variables=o.variables,b.expression=e,b):e}});function x(e,t){void 0===t&&(t=[]),t[0]=0;var r={cte:1,oper:"+",fire:""},n=0,i="";!function e(r,a,o){var s=r.type;if("FunctionNode"===s)throw new Error("There is an unsolved function call");if("OperatorNode"===s){if(-1==="+-*^".indexOf(r.op))throw new Error("Operator "+r.op+" invalid");if(null!==a){if(("unaryMinus"===r.fn||"pow"===r.fn)&&"add"!==a.fn&&"subtract"!==a.fn&&"multiply"!==a.fn)throw new Error("Invalid "+r.op+" placing");if(("subtract"===r.fn||"add"===r.fn||"multiply"===r.fn)&&"add"!==a.fn&&"subtract"!==a.fn)throw new Error("Invalid "+r.op+" placing");if(("subtract"===r.fn||"add"===r.fn||"unaryMinus"===r.fn)&&0!==o.noFil)throw new Error("Invalid "+r.op+" placing")}"^"!==r.op&&"*"!==r.op||(o.fire=r.op);for(var u=0;u<r.args.length;u++)"unaryMinus"===r.fn&&(o.oper="-"),"+"!==r.op&&"subtract"!==r.fn||(o.fire="",o.cte=1,o.oper=0===u?"+":r.op),o.noFil=u,e(r.args[u],r,o)}else if("SymbolNode"===s){if(r.name!==i&&""!==i)throw new Error("There is more than one variable");if(i=r.name,null===a)return void(t[1]=1);if("^"===a.op&&0!==o.noFil)throw new Error("In power the variable should be the first parameter");if("*"===a.op&&1!==o.noFil)throw new Error("In multiply the variable should be the second parameter");""!==o.fire&&"*"!==o.fire||(n<1&&(t[1]=0),t[1]+=o.cte*("+"===o.oper?1:-1),n=Math.max(1,n))}else{if("ConstantNode"!==s)throw new Error("Type "+s+" is not allowed");var c=parseFloat(r.value);if(null===a)return void(t[0]=c);if("^"===a.op){if(1!==o.noFil)throw new Error("Constant cannot be powered");if(!Z(c)||c<=0)throw new Error("Non-integer exponent is not allowed");for(var f=n+1;f<c;f++)t[f]=0;return c>n&&(t[c]=0),t[c]+=o.cte*("+"===o.oper?1:-1),void(n=Math.max(c,n))}o.cte=c,""===o.fire&&(t[0]+=o.cte*("+"===o.oper?1:-1))}}(e,null,r);for(var a,o=!0,s=n=t.length-1;s>=0;s--)if(0!==t[s]){var u=new p(o?t[s]:Math.abs(t[s])),c=t[s]<0?"-":"+";if(s>0){var f=new y(i);if(s>1){var l=new p(s);f=new v("^","pow",[f,l])}u=-1===t[s]&&o?new v("-","unaryMinus",[f]):1===Math.abs(t[s])?f:new v("*","multiply",[u,f])}a=o?u:"+"===c?new v("+","add",[a,u]):new v("-","subtract",[a,u]),o=!1}return o?new p(0):a}})),Qc=Qe("reviver",["classes"],(function(e){var t=e.classes;return function(e,r){var n=t[r&&r.mathjs];return n&&"function"==typeof n.fromJSON?n.fromJSON(r):r}})),Kc=Qe("replacer",[],(function(){return function(e,t){return"number"!=typeof t||isFinite(t)&&!isNaN(t)?t:{mathjs:"number",value:String(t)}}})),ef=Math.PI,tf=2*Math.PI,rf=Math.E,nf=Qe("true",[],(function(){return!0})),af=Qe("false",[],(function(){return!1})),of=Qe("null",[],(function(){return null})),sf=Mf("Infinity",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(1/0):1/0})),uf=Mf("NaN",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(NaN):NaN})),cf=Mf("pi",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?wo(r):ef})),ff=Mf("tau",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?No(r):tf})),lf=Mf("e",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?xo(r):rf})),pf=Mf("phi",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?bo(r):1.618033988749895})),mf=Mf("LN2",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(2).ln():Math.LN2})),hf=Mf("LN10",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(10).ln():Math.LN10})),df=Mf("LOG2E",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(1).div(new r(2).ln()):Math.LOG2E})),vf=Mf("LOG10E",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(1).div(new r(10).ln()):Math.LOG10E})),yf=Mf("SQRT1_2",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r("0.5").sqrt():Math.SQRT1_2})),gf=Mf("SQRT2",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(2).sqrt():Math.SQRT2})),xf=Mf("i",["Complex"],(function(e){return e.Complex.I})),bf=Qe("PI",["pi"],(function(e){return e.pi})),wf=Qe("E",["e"],(function(e){return e.e})),Nf=Qe("version",[],(function(){return"10.6.0"}));function Mf(e,t,r){return Qe(e,t,r,{recreateOnConfigChange:!0})}var Ef=bl("speedOfLight","299792458","m s^-1"),Sf=bl("gravitationConstant","6.67430e-11","m^3 kg^-1 s^-2"),Af=bl("planckConstant","6.62607015e-34","J s"),Of=bl("reducedPlanckConstant","1.0545718176461565e-34","J s"),Cf=bl("magneticConstant","1.25663706212e-6","N A^-2"),Tf=bl("electricConstant","8.8541878128e-12","F m^-1"),_f=bl("vacuumImpedance","376.730313667","ohm"),If=bl("coulomb","8.987551792261171e9","N m^2 C^-2"),kf=bl("elementaryCharge","1.602176634e-19","C"),zf=bl("bohrMagneton","9.2740100783e-24","J T^-1"),Rf=bl("conductanceQuantum","7.748091729863649e-5","S"),qf=bl("inverseConductanceQuantum","12906.403729652257","ohm"),Bf=bl("magneticFluxQuantum","2.0678338484619295e-15","Wb"),Df=bl("nuclearMagneton","5.0507837461e-27","J T^-1"),jf=bl("klitzing","25812.807459304513","ohm"),Pf=bl("bohrRadius","5.29177210903e-11","m"),Ff=bl("classicalElectronRadius","2.8179403262e-15","m"),Uf=bl("electronMass","9.1093837015e-31","kg"),Lf=bl("fermiCoupling","1.1663787e-5","GeV^-2"),$f=wl("fineStructure",.0072973525693),Hf=bl("hartreeEnergy","4.3597447222071e-18","J"),Gf=bl("protonMass","1.67262192369e-27","kg"),Vf=bl("deuteronMass","3.3435830926e-27","kg"),Zf=bl("neutronMass","1.6749271613e-27","kg"),Wf=bl("quantumOfCirculation","3.6369475516e-4","m^2 s^-1"),Yf=bl("rydberg","10973731.568160","m^-1"),Jf=bl("thomsonCrossSection","6.6524587321e-29","m^2"),Xf=wl("weakMixingAngle",.2229),Qf=wl("efimovFactor",22.7),Kf=bl("atomicMass","1.66053906660e-27","kg"),el=bl("avogadro","6.02214076e23","mol^-1"),tl=bl("boltzmann","1.380649e-23","J K^-1"),rl=bl("faraday","96485.33212331001","C mol^-1"),nl=bl("firstRadiation","3.7417718521927573e-16","W m^2"),il=bl("loschmidt","2.686780111798444e25","m^-3"),al=bl("gasConstant","8.31446261815324","J K^-1 mol^-1"),ol=bl("molarPlanckConstant","3.990312712893431e-10","J s mol^-1"),sl=bl("molarVolume","0.022413969545014137","m^3 mol^-1"),ul=wl("sackurTetrode",-1.16487052358),cl=bl("secondRadiation","0.014387768775039337","m K"),fl=bl("stefanBoltzmann","5.67037441918443e-8","W m^-2 K^-4"),ll=bl("wienDisplacement","2.897771955e-3","m K"),pl=bl("molarMass","0.99999999965e-3","kg mol^-1"),ml=bl("molarMassC12","11.9999999958e-3","kg mol^-1"),hl=bl("gravity","9.80665","m s^-2"),dl=bl("planckLength","1.616255e-35","m"),vl=bl("planckMass","2.176435e-8","kg"),yl=bl("planckTime","5.391245e-44","s"),gl=bl("planckCharge","1.87554603778e-18","C"),xl=bl("planckTemperature","1.416785e+32","K");function bl(e,t,r){return Qe(e,["config","Unit","BigNumber"],(function(e){var n=e.config,i=e.Unit,a=e.BigNumber,o=new i("BigNumber"===n.number?new a(t):parseFloat(t),r);return o.fixPrefix=!0,o}))}function wl(e,t){return Qe(e,["config","BigNumber"],(function(e){var r=e.config,n=e.BigNumber;return"BigNumber"===r.number?new n(t):t}))}var Nl=Qe("apply",["typed","isInteger"],(function(e){var t=e.typed,r=e.isInteger,n=Wr({typed:t,isInteger:r});return t("apply",{"...any":function(e){var t=e[1];o(t)?e[1]=t-1:s(t)&&(e[1]=t.minus(1));try{return n.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),Ml=Qe("column",["typed","Index","matrix","range"],(function(e){var t=e.typed,r=e.Index,n=e.matrix,i=e.range,a=wi({typed:t,Index:r,matrix:n,range:i});return t("column",{"...any":function(e){var t=e.length-1,r=e[t];o(r)&&(e[t]=r-1);try{return a.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0});function El(e,t,r){var n=e.filter((function(e){return L(e)&&!(e.name in t)&&!r.has(e.name)}))[0];if(!n)throw new Error('No undefined variable found in inline expression "'+e+'"');var i=n.name,a=cu(r),o=e.compile();return function(e){return a.set(i,e),o.evaluate(a)}}var Sl=Qe("filter",["typed"],(function(e){var t=e.typed;function r(e,t,r){var i,a;return e[0]&&(i=e[0].compile().evaluate(r)),e[1]&&(a=L(e[1])||R(e[1])?e[1].compile().evaluate(r):El(e[1],t,r)),n(i,a)}r.rawArgs=!0;var n=t("filter",{"Array, function":Al,"Matrix, function":function(e,t){return e.create(Al(e.toArray(),t))},"Array, RegExp":je,"Matrix, RegExp":function(e,t){return e.create(je(e.toArray(),t))}});return r}),{isTransformFunction:!0});function Al(e,t){var r=Oi(t);return De(e,(function(e,n,i){return 1===r?t(e):2===r?t(e,[n+1]):t(e,[n+1],i)}))}var Ol=Qe("forEach",["typed"],(function(e){var t=e.typed;function r(e,t,r){var i,a;return e[0]&&(i=e[0].compile().evaluate(r)),e[1]&&(a=L(e[1])||R(e[1])?e[1].compile().evaluate(r):El(e[1],t,r)),n(i,a)}r.rawArgs=!0;var n=t("forEach",{"Array | Matrix, function":function(e,t){var r=Oi(t);!function n(i,a){Array.isArray(i)?Be(i,(function(e,t){n(e,a.concat(t+1))})):1===r?t(i):2===r?t(i,a):t(i,a,e)}(e.valueOf(),[])}});return r}),{isTransformFunction:!0}),Cl=Qe("index",["Index"],(function(e){var t=e.Index;return function(){for(var e=[],r=0,n=arguments.length;r<n;r++){var i=arguments[r];if(y(i))i.start--,i.end-=i.step>0?0:2;else if(i&&!0===i.isSet)i=i.map((function(e){return e-1}));else if(p(i)||m(i))i=i.map((function(e){return e-1}));else if(o(i))i--;else if(s(i))i=i.toNumber()-1;else if("string"!=typeof i)throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range");e[r]=i}var a=new t;return t.apply(a,e),a}}),{isTransformFunction:!0}),Tl=Qe("map",["typed"],(function(e){var t=e.typed;function r(e,t,r){var i,a;return e[0]&&(i=e[0].compile().evaluate(r)),e[1]&&(a=L(e[1])||R(e[1])?e[1].compile().evaluate(r):El(e[1],t,r)),n(i,a)}r.rawArgs=!0;var n=t("map",{"Array, function":function(e,t){return _l(e,t,e)},"Matrix, function":function(e,t){return e.create(_l(e.valueOf(),t,e))}});return r}),{isTransformFunction:!0});function _l(e,t,r){var n=Oi(t);return function e(i,a){return Array.isArray(i)?qe(i,(function(t,r){return e(t,a.concat(r+1))})):1===n?t(i):2===n?t(i,a):t(i,a,r)}(e,[])}function Il(e){if(2===e.length&&h(e[0])){var t=(e=e.slice())[1];o(t)?e[1]=t-1:s(t)&&(e[1]=t.minus(1))}return e}var kl=Qe("max",["typed","config","numeric","larger"],(function(e){var t=e.typed,r=e.config,n=e.numeric,i=e.larger,a=uo({typed:t,config:r,numeric:n,larger:i});return t("max",{"...any":function(e){e=Il(e);try{return a.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),zl=Qe("mean",["typed","add","divide"],(function(e){var t=e.typed,r=e.add,n=e.divide,i=nc({typed:t,add:r,divide:n});return t("mean",{"...any":function(e){e=Il(e);try{return i.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),Rl=Qe("min",["typed","config","numeric","smaller"],(function(e){var t=e.typed,r=e.config,n=e.numeric,i=e.smaller,a=co({typed:t,config:r,numeric:n,smaller:i});return t("min",{"...any":function(e){e=Il(e);try{return a.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),ql=Qe("range",["typed","config","?matrix","?bignumber","smaller","smallerEq","larger","largerEq"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.bignumber,a=e.smaller,o=e.smallerEq,s=e.larger,u=e.largerEq,c=$i({typed:t,config:r,matrix:n,bignumber:i,smaller:a,smallerEq:o,larger:s,largerEq:u});return t("range",{"...any":function(e){return"boolean"!=typeof e[e.length-1]&&e.push(!0),c.apply(null,e)}})}),{isTransformFunction:!0}),Bl=Qe("row",["typed","Index","matrix","range"],(function(e){var t=e.typed,r=e.Index,n=e.matrix,i=e.range,a=Yi({typed:t,Index:r,matrix:n,range:i});return t("row",{"...any":function(e){var t=e.length-1,r=e[t];o(r)&&(e[t]=r-1);try{return a.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),Dl=Qe("subset",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix,n=Qi({typed:t,matrix:r});return t("subset",{"...any":function(e){try{return n.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),jl=Qe("concat",["typed","matrix","isInteger"],(function(e){var t=e.typed,r=e.matrix,n=e.isInteger,i=xi({typed:t,matrix:r,isInteger:n});return t("concat",{"...any":function(e){var t=e.length-1,r=e[t];o(r)?e[t]=r-1:s(r)&&(e[t]=r.minus(1));try{return i.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),Pl=Qe("diff",["typed","matrix","subtract","number","bignumber"],(function(e){var t=e.typed,r=e.matrix,n=e.subtract,i=e.number,a=e.bignumber,o=ji({typed:t,matrix:r,subtract:n,number:i,bignumber:a});return t("diff",{"...any":function(e){e=Il(e);try{return o.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),Fl=Qe("std",["typed","sqrt","variance"],(function(e){var t=e.typed,r=e.sqrt,n=e.variance,i=uc({typed:t,sqrt:r,variance:n});return t("std",{"...any":function(e){e=Il(e);try{return i.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),Ul=Qe("sum",["typed","config","add","numeric"],(function(e){var t=e.typed,r=e.config,n=e.add,i=e.numeric,a=tc({typed:t,config:r,add:n,numeric:i});return t("sum",{"...any":function(e){e=Il(e);try{return a.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),Ll=Qe("cumsum",["typed","add","unaryPlus"],(function(e){var t=e.typed,r=e.add,n=e.unaryPlus,i=rc({typed:t,add:r,unaryPlus:n});return t("cumsum",{"...any":function(e){if(2===e.length&&h(e[0])){var t=e[1];o(t)?e[1]=t-1:s(t)&&(e[1]=t.minus(1))}try{return i.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),$l=Qe("variance",["typed","add","subtract","multiply","divide","apply","isNaN"],(function(e){var t=e.typed,r=e.add,n=e.subtract,i=e.multiply,a=e.divide,o=e.apply,s=e.isNaN,u=oc({typed:t,add:r,subtract:n,multiply:i,divide:a,apply:o,isNaN:s});return t("variance",{"...any":function(e){e=Il(e);try{return u.apply(null,e)}catch(e){throw qs(e)}}})}),{isTransformFunction:!0}),Hl=r(192),Gl=r.n(Hl);function Vl(e,t,r,n){function i(t,i,a){var s;if(a.wrap&&"function"==typeof i&&(i=function(e){var t=function(){for(var t=[],n=0,i=arguments.length;n<i;n++){var a=arguments[n];t[n]=a&&a.valueOf()}return e.apply(r,t)};e.transform&&(t.transform=e.transform);return t}(i)),"function"==typeof(s=i)&&"string"==typeof s.signature&&(i=e(t,go()({},i.signature,i))),d(r[t])&&d(i))return i=a.override?e(t,i.signatures):e(r[t],i),r[t]=i,delete n[t],o(t,i),void r.emit("import",t,(function(){return i}));if(void 0===r[t]||a.override)return r[t]=i,delete n[t],o(t,i),void r.emit("import",t,(function(){return i}));if(!a.silent)throw new Error('Cannot import "'+t+'": already exists')}function o(e,t){t&&"function"==typeof t.transform?(r.expression.transform[e]=t.transform,v(e)&&(r.expression.mathWithTransform[e]=t.transform)):(delete r.expression.transform[e],v(e)&&(r.expression.mathWithTransform[e]=t))}function l(e){delete r.expression.transform[e],v(e)?r.expression.mathWithTransform[e]=r[e]:delete r.expression.mathWithTransform[e]}function p(t,i){var a=arguments.length>2&&void 0!==arguments[2]?arguments[2]:t.fn;if($e(a,"."))throw new Error("Factory name should not contain a nested path. Name: "+JSON.stringify(a));var o=g(t)?r.expression.transform:r,s=a in r.expression.transform,u=Je(o,a)?o[a]:void 0,c=function(){var n={};t.dependencies.map(et).forEach((function(e){if($e(e,"."))throw new Error("Factory dependency should not contain a nested path. Name: "+JSON.stringify(e));"math"===e?n.math=r:"mathWithTransform"===e?n.mathWithTransform=r.expression.mathWithTransform:"classes"===e?n.classes=r:n[e]=r[e]}));var o=t(n);if(o&&"function"==typeof o.transform)throw new Error('Transforms cannot be attached to factory functions. Please create a separate function for it with exports.path="expression.transform"');if(void 0===u||i.override)return o;if(d(u)&&d(o))return e(u,o);if(i.silent)return u;throw new Error('Cannot import "'+a+'": already exists')};t.meta&&!1===t.meta.lazy?(o[a]=c(),u&&s?l(a):(g(t)||y(t))&&Ye(r.expression.mathWithTransform,a,(function(){return o[a]}))):(Ye(o,a,c),u&&s?l(a):(g(t)||y(t))&&Ye(r.expression.mathWithTransform,a,(function(){return o[a]}))),n[a]=t,r.emit("import",a,c)}function h(e){return"function"==typeof e||"number"==typeof e||"string"==typeof e||"boolean"==typeof e||null===e||f(e)||u(e)||s(e)||c(e)||m(e)||Array.isArray(e)}function d(e){return"function"==typeof e&&"object"===a()(e.signatures)}function v(e){return!Je(x,e)}function y(e){return!(-1!==e.fn.indexOf(".")||Je(x,e.fn)||e.meta&&e.meta.isClass)}function g(e){return void 0!==e&&void 0!==e.meta&&!0===e.meta.isTransformFunction||!1}var x={expression:!0,type:!0,docs:!0,error:!0,json:!0,chain:!0};return function(e,t){var r=arguments.length;if(1!==r&&2!==r)throw new Gi("import",r,1,2);function n(e,r,i){if(Array.isArray(r))r.forEach((function(t){return n(e,t)}));else if("object"===a()(r))for(var o in r)Je(r,o)&&n(e,r[o],o);else if(Ke(r)||void 0!==i){var s=Ke(r)?g(r)?r.fn+".transform":r.fn:i;if(Je(e,s)&&e[s]!==r&&!t.silent)throw new Error('Cannot import "'+s+'" twice');e[s]=r}else if(!t.silent)throw new TypeError("Factory, Object, or Array expected")}t||(t={});var o={};for(var s in n(o,e),o)if(Je(o,s)){var u=o[s];if(Ke(u))p(u,t);else if(h(u))i(s,u,t);else if(!t.silent)throw new TypeError("Factory, Object, or Array expected")}}}var Zl={epsilon:1e-12,matrix:"Matrix",number:"number",precision:64,predictable:!1,randomSeed:null},Wl=["Matrix","Array"],Yl=["number","BigNumber","Fraction"];function Jl(e,t){function r(r){if(r){var n=Ge(e,He);Xl(r,"matrix",Wl),Xl(r,"number",Yl),function e(t,r){if(Array.isArray(r))throw new TypeError("Arrays are not supported by deepExtend");for(var n in r)if(Je(r,n)&&!(n in Object.prototype)&&!(n in Function.prototype))if(r[n]&&r[n].constructor===Object)void 0===t[n]&&(t[n]={}),t[n]&&t[n].constructor===Object?e(t[n],r[n]):t[n]=r[n];else{if(Array.isArray(r[n]))throw new TypeError("Arrays are not supported by deepExtend");t[n]=r[n]}return t}(e,r);var i=Ge(e,He),a=Ge(r,He);return t("config",i,n,a),i}return Ge(e,He)}return r.MATRIX_OPTIONS=Wl,r.NUMBER_OPTIONS=Yl,Object.keys(Zl).forEach((function(t){Object.defineProperty(r,t,{get:function(){return e[t]},enumerable:!0,configurable:!0})})),r}function Xl(e,t,r){var n,i;void 0!==e[t]&&(n=r,i=e[t],-1===n.indexOf(i))&&console.warn('Warning: Unknown value "'+e[t]+'" for configuration option "'+t+'". Available options: '+r.map((function(e){return JSON.stringify(e)})).join(", ")+".")}t.default=function e(t,r){var n=vo()({},Zl,r);if("function"!=typeof Object.create)throw new Error("ES5 not supported by this JavaScript engine. Please load the es5-shim and es5-sham library for compatibility.");var i,a,H=(i={isNumber:o,isComplex:u,isBigNumber:s,isFraction:c,isUnit:f,isString:l,isArray:p,isMatrix:m,isCollection:h,isDenseMatrix:d,isSparseMatrix:v,isRange:y,isIndex:g,isBoolean:x,isResultSet:b,isHelp:w,isFunction:N,isDate:M,isRegExp:E,isObject:S,isNull:A,isUndefined:O,isAccessorNode:C,isArrayNode:T,isAssignmentNode:_,isBlockNode:I,isConditionalNode:k,isConstantNode:z,isFunctionAssignmentNode:R,isFunctionNode:q,isIndexNode:B,isNode:D,isObjectNode:j,isOperatorNode:P,isParenthesisNode:F,isRangeNode:U,isSymbolNode:L,isChain:$},a=new Gl.a,i.on=a.on.bind(a),i.off=a.off.bind(a),i.once=a.once.bind(a),i.emit=a.emit.bind(a),i);H.config=Jl(n,H.emit),H.expression={transform:{},mathWithTransform:{config:H.config}};var G={},V=Vl((function(){for(var e=arguments.length,t=new Array(e),r=0;r<e;r++)t[r]=arguments[r];return H.typed.apply(H.typed,t)}),0,H,G);return H.import=V,H.on("config",(function(){Xe(G).forEach((function(e){e&&e.meta&&e.meta.recreateOnConfigChange&&V(e,{override:!0})}))})),H.create=e.bind(null,t),H.factory=Qe,H.import(Xe(We(t))),H.ArgumentsError=Gi,H.DimensionError=Me,H.IndexError=Ee,H}(n)}]).default}));
//# sourceMappingURL=math.js.map