/**
 * Skipped minification because the original files appears to be already minified.
 * Original file: /npm/mathjs@11.0.1/lib/browser/math.js
 *
 * Do NOT use SRI with dynamically generated files! More information: https://www.jsdelivr.com/using-sri-with-dynamic-files
 */
/*! For license information please see math.js.LICENSE.txt */
!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,(()=>(()=>{var e={1977:function(e,t){var r;!function(n){"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 u(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 s(e,t){if(!(this instanceof s))return new s(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 s.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 s.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 u=0;u<n.length;u++){var c=n[u];" "===c||"\t"===c||"\n"===c||("+"===c?i++:"-"===c?a++:"i"===c||"I"===c?(i+a===0&&o()," "===n[u+1]||isNaN(n[u+1])?r.im+=parseFloat((a%2?"-":"")+"1"):(r.im+=parseFloat((a%2?"-":"")+n[u+1]),u++),i=a=0):((i+a===0||isNaN(c))&&o(),"i"===n[u+1]||"I"===n[u+1]?(r.im+=parseFloat((a%2?"-":"")+c),u++):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}s.prototype={re:0,im:0,sign:function(){var e=this.abs();return new s(this.re/e,this.im/e)},add:function(e,t){var r=new s(e,t);return this.isInfinite()&&r.isInfinite()?s.NAN:this.isInfinite()||r.isInfinite()?s.INFINITY:new s(this.re+r.re,this.im+r.im)},sub:function(e,t){var r=new s(e,t);return this.isInfinite()&&r.isInfinite()?s.NAN:this.isInfinite()||r.isInfinite()?s.INFINITY:new s(this.re-r.re,this.im-r.im)},mul:function(e,t){var r=new s(e,t);return this.isInfinite()&&r.isZero()||this.isZero()&&r.isInfinite()?s.NAN:this.isInfinite()||r.isInfinite()?s.INFINITY:0===r.im&&0===this.im?new s(this.re*r.re,0):new s(this.re*r.re-this.im*r.im,this.re*r.im+this.im*r.re)},div:function(e,t){var r=new s(e,t);if(this.isZero()&&r.isZero()||this.isInfinite()&&r.isInfinite())return s.NAN;if(this.isInfinite()||r.isZero())return s.INFINITY;if(this.isZero()||r.isInfinite())return s.ZERO;e=this.re,t=this.im;var n,i,a=r.re,o=r.im;return 0===o?new s(e/a,t/a):Math.abs(a)<Math.abs(o)?new s((e*(i=a/o)+t)/(n=a*i+o),(t*i-e)/n):new s((e+t*(i=o/a))/(n=o*i+a),(t-e*i)/n)},pow:function(e,t){var r=new s(e,t);if(e=this.re,t=this.im,r.isZero())return s.ONE;if(0===r.im){if(0===t&&e>0)return new s(Math.pow(e,r.re),0);if(0===e)switch((r.re%4+4)%4){case 0:return new s(Math.pow(t,r.re),0);case 1:return new s(0,Math.pow(t,r.re));case 2:return new s(-Math.pow(t,r.re),0);case 3:return new s(0,-Math.pow(t,r.re))}}if(0===e&&0===t&&r.re>0&&r.im>=0)return s.ZERO;var n=Math.atan2(t,e),i=u(e,t);return e=Math.exp(r.re*i-r.im*n),t=r.im*i+r.re*n,new s(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 s(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 s(e,n<0?-t:t)},exp:function(){var e=Math.exp(this.re);return this.im,new s(e*Math.cos(this.im),e*Math.sin(this.im))},expm1:function(){var e=this.re,t=this.im;return new s(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 s(u(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 s(Math.sin(e)*i(t),Math.cos(e)*a(t))},cos:function(){var e=this.re,t=this.im;return new s(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 s(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 s(-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 s(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 s(Math.sin(e)*i(t)/r,-Math.cos(e)*a(t)/r)},asin:function(){var e=this.re,t=this.im,r=new s(t*t-e*e+1,-2*e*t).sqrt(),n=new s(r.re-t,r.im+e).log();return new s(n.im,-n.re)},acos:function(){var e=this.re,t=this.im,r=new s(t*t-e*e+1,-2*e*t).sqrt(),n=new s(r.re-t,r.im+e).log();return new s(Math.PI/2-n.im,n.re)},atan:function(){var e=this.re,t=this.im;if(0===e){if(1===t)return new s(0,1/0);if(-1===t)return new s(0,-1/0)}var r=e*e+(1-t)*(1-t),n=new s((1-t*t-e*e)/r,-2*e/r).log();return new s(-.5*n.im,.5*n.re)},acot:function(){var e=this.re,t=this.im;if(0===t)return new s(Math.atan2(1,e),0);var r=e*e+t*t;return 0!==r?new s(e/r,-t/r).atan():new s(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 s(0,1/0);var r=e*e+t*t;return 0!==r?new s(e/r,-t/r).acos():new s(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 s(Math.PI/2,1/0);var r=e*e+t*t;return 0!==r?new s(e/r,-t/r).asin():new s(0!==e?e/0:0,0!==t?-t/0:0).asin()},sinh:function(){var e=this.re,t=this.im;return new s(a(e)*Math.cos(t),i(e)*Math.sin(t))},cosh:function(){var e=this.re,t=this.im;return new s(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 s(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 s(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 s(-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 s(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 s((i*n-t*t)/a,(t*n+i*t)/a):new s(-1!==e?e/0:0,0!==t?t/0:0),c=o.re;return o.re=u(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 s(0,Math.PI/2);var r=e*e+t*t;return 0!==r?new s(e/r,-t/r).atanh():new s(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 s(0!==e?Math.log(e+Math.sqrt(e*e+1)):1/0,0);var r=e*e+t*t;return 0!==r?new s(e/r,-t/r).asinh():new s(0!==e?e/0:0,0!==t?-t/0:0).asinh()},asech:function(){var e=this.re,t=this.im;if(this.isZero())return s.INFINITY;var r=e*e+t*t;return 0!==r?new s(e/r,-t/r).acosh():new s(0!==e?e/0:0,0!==t?-t/0:0).acosh()},inverse:function(){if(this.isZero())return s.INFINITY;if(this.isInfinite())return s.ZERO;var e=this.re,t=this.im,r=e*e+t*t;return new s(e/r,-t/r)},conjugate:function(){return new s(this.re,-this.im)},neg:function(){return new s(-this.re,-this.im)},ceil:function(e){return e=Math.pow(10,e||0),new s(Math.ceil(this.re*e)/e,Math.ceil(this.im*e)/e)},floor:function(e){return e=Math.pow(10,e||0),new s(Math.floor(this.re*e)/e,Math.floor(this.im*e)/e)},round:function(e){return e=Math.pow(10,e||0),new s(Math.round(this.re*e)/e,Math.round(this.im*e)/e)},equals:function(e,t){var r=new s(e,t);return Math.abs(r.re-this.re)<=s.EPSILON&&Math.abs(r.im-this.im)<=s.EPSILON},clone:function(){return new s(this.re,this.im)},toString:function(){var e=this.re,t=this.im,r="";return this.isNaN()?"NaN":this.isInfinite()?"Infinity":(Math.abs(e)<s.EPSILON&&(e=0),Math.abs(t)<s.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())}},s.ZERO=new s(0,0),s.ONE=new s(1,0),s.I=new s(0,1),s.PI=new s(Math.PI,0),s.E=new s(Math.E,0),s.INFINITY=new s(1/0,1/0),s.NAN=new s(NaN,NaN),s.EPSILON=1e-15,void 0===(r=function(){return s}.apply(t,[]))||(e.exports=r)}()},9662:(e,t,r)=>{var n=r(614),i=r(6330),a=TypeError;e.exports=function(e){if(n(e))return e;throw a(i(e)+" is not a function")}},9483:(e,t,r)=>{var n=r(4411),i=r(6330),a=TypeError;e.exports=function(e){if(n(e))return e;throw a(i(e)+" is not a constructor")}},6077:(e,t,r)=>{var n=r(614),i=String,a=TypeError;e.exports=function(e){if("object"==typeof e||n(e))return e;throw a("Can't set "+i(e)+" as a prototype")}},1223:(e,t,r)=>{var n=r(5112),i=r(30),a=r(3070).f,o=n("unscopables"),u=Array.prototype;null==u[o]&&a(u,o,{configurable:!0,value:i(null)}),e.exports=function(e){u[o][e]=!0}},1530:(e,t,r)=>{"use strict";var n=r(8710).charAt;e.exports=function(e,t,r){return t+(r?n(e,t).length:1)}},5787:(e,t,r)=>{var n=r(7976),i=TypeError;e.exports=function(e,t){if(n(t,e))return e;throw i("Incorrect invocation")}},9670:(e,t,r)=>{var n=r(111),i=String,a=TypeError;e.exports=function(e){if(n(e))return e;throw a(i(e)+" is not an object")}},7556:(e,t,r)=>{var n=r(7293);e.exports=n((function(){if("function"==typeof ArrayBuffer){var e=new ArrayBuffer(8);Object.isExtensible(e)&&Object.defineProperty(e,"a",{value:8})}}))},1285:(e,t,r)=>{"use strict";var n=r(7908),i=r(1400),a=r(6244);e.exports=function(e){for(var t=n(this),r=a(t),o=arguments.length,u=i(o>1?arguments[1]:void 0,r),s=o>2?arguments[2]:void 0,c=void 0===s?r:i(s,r);c>u;)t[u++]=e;return t}},8533:(e,t,r)=>{"use strict";var n=r(2092).forEach,i=r(9341)("forEach");e.exports=i?[].forEach:function(e){return n(this,e,arguments.length>1?arguments[1]:void 0)}},8457:(e,t,r)=>{"use strict";var n=r(9974),i=r(6916),a=r(7908),o=r(3411),u=r(7659),s=r(4411),c=r(6244),f=r(6135),l=r(8554),p=r(1246),m=Array;e.exports=function(e){var t=a(e),r=s(this),h=arguments.length,d=h>1?arguments[1]:void 0,v=void 0!==d;v&&(d=n(d,h>2?arguments[2]:void 0));var g,y,x,b,w,N,D=p(t),E=0;if(!D||this===m&&u(D))for(g=c(t),y=r?new this(g):m(g);g>E;E++)N=v?d(t[E],E):t[E],f(y,E,N);else for(w=(b=l(t,D)).next,y=r?new this:[];!(x=i(w,b)).done;E++)N=v?o(b,d,[x.value,E],!0):x.value,f(y,E,N);return y.length=E,y}},1318:(e,t,r)=>{var n=r(5656),i=r(1400),a=r(6244),o=function(e){return function(t,r,o){var u,s=n(t),c=a(s),f=i(o,c);if(e&&r!=r){for(;c>f;)if((u=s[f++])!=u)return!0}else for(;c>f;f++)if((e||f in s)&&s[f]===r)return e||f||0;return!e&&-1}};e.exports={includes:o(!0),indexOf:o(!1)}},2092:(e,t,r)=>{var n=r(9974),i=r(1702),a=r(8361),o=r(7908),u=r(6244),s=r(5417),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,g){for(var y,x,b=o(h),w=a(b),N=n(d,v),D=u(w),E=0,A=g||s,S=t?A(h,D):r||p?A(h,0):void 0;D>E;E++)if((m||E in w)&&(x=N(y=w[E],E,b),e))if(t)S[E]=x;else if(x)switch(e){case 3:return!0;case 5:return y;case 6:return E;case 2:c(S,y)}else switch(e){case 4:return!1;case 7:c(S,y)}return l?-1:i||f?f:S}};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)}},1194:(e,t,r)=>{var n=r(7293),i=r(5112),a=r(7392),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}))}},9341:(e,t,r)=>{"use strict";var n=r(7293);e.exports=function(e,t){var r=[][e];return!!r&&n((function(){r.call(null,t||function(){return 1},1)}))}},3671:(e,t,r)=>{var n=r(9662),i=r(7908),a=r(8361),o=r(6244),u=TypeError,s=function(e){return function(t,r,s,c){n(r);var f=i(t),l=a(f),p=o(f),m=e?p-1:0,h=e?-1:1;if(s<2)for(;;){if(m in l){c=l[m],m+=h;break}if(m+=h,e?m<0:p<=m)throw u("Reduce of empty array with no initial value")}for(;e?m>=0:p>m;m+=h)m in l&&(c=r(c,l[m],m,f));return c}};e.exports={left:s(!1),right:s(!0)}},1589:(e,t,r)=>{var n=r(1400),i=r(6244),a=r(6135),o=Array,u=Math.max;e.exports=function(e,t,r){for(var s=i(e),c=n(t,s),f=n(void 0===r?s:r,s),l=o(u(f-c,0)),p=0;c<f;c++,p++)a(l,p,e[c]);return l.length=p,l}},206:(e,t,r)=>{var n=r(1702);e.exports=n([].slice)},4362:(e,t,r)=>{var n=r(1589),i=Math.floor,a=function(e,t){var r=e.length,s=i(r/2);return r<8?o(e,t):u(e,a(n(e,0,s),t),a(n(e,s),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},u=function(e,t,r,n){for(var i=t.length,a=r.length,o=0,u=0;o<i||u<a;)e[o+u]=o<i&&u<a?n(t[o],r[u])<=0?t[o++]:r[u++]:o<i?t[o++]:r[u++];return e};e.exports=a},7475:(e,t,r)=>{var n=r(3157),i=r(4411),a=r(111),o=r(5112)("species"),u=Array;e.exports=function(e){var t;return n(e)&&(t=e.constructor,(i(t)&&(t===u||n(t.prototype))||a(t)&&null===(t=t[o]))&&(t=void 0)),void 0===t?u:t}},5417:(e,t,r)=>{var n=r(7475);e.exports=function(e,t){return new(n(e))(0===t?0:t)}},3411:(e,t,r)=>{var n=r(9670),i=r(9212);e.exports=function(e,t,r,a){try{return a?t(n(r)[0],r[1]):t(r)}catch(t){i(e,"throw",t)}}},7072:(e,t,r)=>{var n=r(5112)("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}},4326:(e,t,r)=>{var n=r(1702),i=n({}.toString),a=n("".slice);e.exports=function(e){return a(i(e),8,-1)}},648:(e,t,r)=>{var n=r(1694),i=r(614),a=r(4326),o=r(5112)("toStringTag"),u=Object,s="Arguments"==a(function(){return arguments}());e.exports=n?a: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),o))?r:s?a(t):"Object"==(n=a(t))&&i(t.callee)?"Arguments":n}},5631:(e,t,r)=>{"use strict";var n=r(3070).f,i=r(30),a=r(9190),o=r(9974),u=r(5787),s=r(408),c=r(654),f=r(6340),l=r(9781),p=r(2423).fastKey,m=r(9909),h=m.set,d=m.getterFor;e.exports={getConstructor:function(e,t,r,c){var f=e((function(e,n){u(e,m),h(e,{type:t,index:i(null),first:void 0,last:void 0,size:0}),l||(e.size=0),null!=n&&s(n,e[c],{that:e,AS_ENTRIES:r})})),m=f.prototype,v=d(t),g=function(e,t,r){var n,i,a=v(e),o=y(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},y=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=this,r=v(t),n=y(t,e);if(n){var i=n.next,a=n.previous;delete r.index[n.index],n.removed=!0,a&&(a.next=i),i&&(i.previous=a),r.first==n&&(r.first=i),r.last==n&&(r.last=a),l?r.size--:t.size--}return!!n},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!!y(this,e)}}),a(m,r?{get:function(e){var t=y(this,e);return t&&t.value},set:function(e,t){return g(this,0===e?0:e,t)}}:{add:function(e){return g(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)}}},7710:(e,t,r)=>{"use strict";var n=r(2109),i=r(7854),a=r(1702),o=r(4705),u=r(8052),s=r(2423),c=r(408),f=r(5787),l=r(614),p=r(111),m=r(7293),h=r(7072),d=r(8003),v=r(9587);e.exports=function(e,t,r){var g=-1!==e.indexOf("Map"),y=-1!==e.indexOf("Weak"),x=g?"set":"add",b=i[e],w=b&&b.prototype,N=b,D={},E=function(e){var t=a(w[e]);u(w,e,"add"==e?function(e){return t(this,0===e?0:e),this}:"delete"==e?function(e){return!(y&&!p(e))&&t(this,0===e?0:e)}:"get"==e?function(e){return y&&!p(e)?void 0:t(this,0===e?0:e)}:"has"==e?function(e){return!(y&&!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)||!(y||w.forEach&&!m((function(){(new b).entries().next()})))))N=r.getConstructor(t,e,g,x),s.enable();else if(o(e,!0)){var A=new N,S=A[x](y?{}:-0,1)!=A,C=m((function(){A.has(1)})),M=h((function(e){new b(e)})),F=!y&&m((function(){for(var e=new b,t=5;t--;)e[x](t,t);return!e.has(-0)}));M||((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:g}),r}))).prototype=w,w.constructor=N),(C||F)&&(E("delete"),E("has"),g&&E("get")),(F||S)&&E(x),y&&w.clear&&delete w.clear}return D[e]=N,n({global:!0,constructor:!0,forced:N!=b},D),d(N,e),y||r.setStrong(N,e,g),N}},9920:(e,t,r)=>{var n=r(2597),i=r(3887),a=r(1236),o=r(3070);e.exports=function(e,t,r){for(var u=i(t),s=o.f,c=a.f,f=0;f<u.length;f++){var l=u[f];n(e,l)||r&&n(r,l)||s(e,l,c(t,l))}}},4964:(e,t,r)=>{var n=r(5112)("match");e.exports=function(e){var t=/./;try{"/./"[e](t)}catch(r){try{return t[n]=!1,"/./"[e](t)}catch(e){}}return!1}},8544:(e,t,r)=>{var n=r(7293);e.exports=!n((function(){function e(){}return e.prototype.constructor=null,Object.getPrototypeOf(new e)!==e.prototype}))},4230:(e,t,r)=>{var n=r(1702),i=r(4488),a=r(1340),o=/"/g,u=n("".replace);e.exports=function(e,t,r,n){var s=a(i(e)),c="<"+t;return""!==r&&(c+=" "+r+'="'+u(a(n),o,"&quot;")+'"'),c+">"+s+"</"+t+">"}},4994:(e,t,r)=>{"use strict";var n=r(3383).IteratorPrototype,i=r(30),a=r(9114),o=r(8003),u=r(7497),s=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),u[f]=s,e}},8880:(e,t,r)=>{var n=r(9781),i=r(3070),a=r(9114);e.exports=n?function(e,t,r){return i.f(e,t,a(1,r))}:function(e,t,r){return e[t]=r,e}},9114:e=>{e.exports=function(e,t){return{enumerable:!(1&e),configurable:!(2&e),writable:!(4&e),value:t}}},6135:(e,t,r)=>{"use strict";var n=r(4948),i=r(3070),a=r(9114);e.exports=function(e,t,r){var o=n(t);o in e?i.f(e,o,a(0,r)):e[o]=r}},7045:(e,t,r)=>{var n=r(6339),i=r(3070);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)}},8052:(e,t,r)=>{var n=r(614),i=r(3070),a=r(6339),o=r(3072);e.exports=function(e,t,r,u){u||(u={});var s=u.enumerable,c=void 0!==u.name?u.name:t;if(n(r)&&a(r,c,u),u.global)s?e[t]=r:o(t,r);else{try{u.unsafe?e[t]&&(s=!0):delete e[t]}catch(e){}s?e[t]=r:i.f(e,t,{value:r,enumerable:!1,configurable:!u.nonConfigurable,writable:!u.nonWritable})}return e}},9190:(e,t,r)=>{var n=r(8052);e.exports=function(e,t,r){for(var i in t)n(e,i,t[i],r);return e}},3072:(e,t,r)=>{var n=r(7854),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}},654:(e,t,r)=>{"use strict";var n=r(2109),i=r(6916),a=r(1913),o=r(6530),u=r(614),s=r(4994),c=r(9518),f=r(7674),l=r(8003),p=r(8880),m=r(8052),h=r(5112),d=r(7497),v=r(3383),g=o.PROPER,y=o.CONFIGURABLE,x=v.IteratorPrototype,b=v.BUGGY_SAFARI_ITERATORS,w=h("iterator"),N="keys",D="values",E="entries",A=function(){return this};e.exports=function(e,t,r,o,h,v,S){s(r,t,o);var C,M,F,O=function(e){if(e===h&&I)return I;if(!b&&e in _)return _[e];switch(e){case N:case D:case E:return function(){return new r(this,e)}}return function(){return new r(this)}},T=t+" Iterator",B=!1,_=e.prototype,k=_[w]||_["@@iterator"]||h&&_[h],I=!b&&k||O(h),R="Array"==t&&_.entries||k;if(R&&(C=c(R.call(new e)))!==Object.prototype&&C.next&&(a||c(C)===x||(f?f(C,x):u(C[w])||m(C,w,A)),l(C,T,!0,!0),a&&(d[T]=A)),g&&h==D&&k&&k.name!==D&&(!a&&y?p(_,"name",D):(B=!0,I=function(){return i(k,this)})),h)if(M={values:O(D),keys:v?I:O(N),entries:O(E)},S)for(F in M)(b||B||!(F in _))&&m(_,F,M[F]);else n({target:t,proto:!0,forced:b||B},M);return a&&!S||_[w]===I||m(_,w,I,{name:h}),d[t]=I,M}},7235:(e,t,r)=>{var n=r(857),i=r(2597),a=r(6061),o=r(3070).f;e.exports=function(e){var t=n.Symbol||(n.Symbol={});i(t,e)||o(t,e,{value:a.f(e)})}},5117:(e,t,r)=>{"use strict";var n=r(6330),i=TypeError;e.exports=function(e,t){if(!delete e[t])throw i("Cannot delete property "+n(t)+" of "+n(e))}},9781:(e,t,r)=>{var n=r(7293);e.exports=!n((function(){return 7!=Object.defineProperty({},1,{get:function(){return 7}})[1]}))},317:(e,t,r)=>{var n=r(7854),i=r(111),a=n.document,o=i(a)&&i(a.createElement);e.exports=function(e){return o?a.createElement(e):{}}},7207:e=>{var t=TypeError;e.exports=function(e){if(e>9007199254740991)throw t("Maximum allowed index exceeded");return e}},8324:e=>{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}},8509:(e,t,r)=>{var n=r(317)("span").classList,i=n&&n.constructor&&n.constructor.prototype;e.exports=i===Object.prototype?void 0:i},8886:(e,t,r)=>{var n=r(8113).match(/firefox\/(\d+)/i);e.exports=!!n&&+n[1]},7871:e=>{e.exports="object"==typeof window&&"object"!=typeof Deno},256:(e,t,r)=>{var n=r(8113);e.exports=/MSIE|Trident/.test(n)},1528:(e,t,r)=>{var n=r(8113),i=r(7854);e.exports=/ipad|iphone|ipod/i.test(n)&&void 0!==i.Pebble},6833:(e,t,r)=>{var n=r(8113);e.exports=/(?:ipad|iphone|ipod).*applewebkit/i.test(n)},5268:(e,t,r)=>{var n=r(4326),i=r(7854);e.exports="process"==n(i.process)},1036:(e,t,r)=>{var n=r(8113);e.exports=/web0s(?!.*chrome)/i.test(n)},8113:(e,t,r)=>{var n=r(5005);e.exports=n("navigator","userAgent")||""},7392:(e,t,r)=>{var n,i,a=r(7854),o=r(8113),u=a.process,s=a.Deno,c=u&&u.versions||s&&s.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},8008:(e,t,r)=>{var n=r(8113).match(/AppleWebKit\/(\d+)\./);e.exports=!!n&&+n[1]},748:e=>{e.exports=["constructor","hasOwnProperty","isPrototypeOf","propertyIsEnumerable","toLocaleString","toString","valueOf"]},2109:(e,t,r)=>{var n=r(7854),i=r(1236).f,a=r(8880),o=r(8052),u=r(3072),s=r(9920),c=r(4705);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]||u(h,{}):(n[h]||{}).prototype)for(f in t){if(p=t[f],l=e.dontCallGetSet?(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;s(p,l)}(e.sham||l&&l.sham)&&a(p,"sham",!0),o(r,f,p,e)}}},7293:e=>{e.exports=function(e){try{return!!e()}catch(e){return!0}}},7007:(e,t,r)=>{"use strict";r(4916);var n=r(1702),i=r(8052),a=r(2261),o=r(7293),u=r(5112),s=r(8880),c=u("species"),f=RegExp.prototype;e.exports=function(e,t,r,l){var p=u(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 u=n(e),s=t.exec;return s===a||s===f.exec?m&&!o?{done:!0,value:d(t,r,i)}:{done:!0,value:u(r,t,i)}:{done:!1}}));i(String.prototype,e,v[0]),i(f,p,v[1])}l&&s(f[p],"sham",!0)}},6677:(e,t,r)=>{var n=r(7293);e.exports=!n((function(){return Object.isExtensible(Object.preventExtensions({}))}))},2104:(e,t,r)=>{var n=r(4374),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)})},9974:(e,t,r)=>{var n=r(1702),i=r(9662),a=r(4374),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)}}},4374:(e,t,r)=>{var n=r(7293);e.exports=!n((function(){var e=function(){}.bind();return"function"!=typeof e||e.hasOwnProperty("prototype")}))},7065:(e,t,r)=>{"use strict";var n=r(1702),i=r(9662),a=r(111),o=r(2597),u=r(206),s=r(4374),c=Function,f=n([].concat),l=n([].join),p={},m=function(e,t,r){if(!o(p,t)){for(var n=[],i=0;i<t;i++)n[i]="a["+i+"]";p[t]=c("C,a","return new C("+l(n,",")+")")}return p[t](e,r)};e.exports=s?c.bind:function(e){var t=i(this),r=t.prototype,n=u(arguments,1),o=function(){var r=f(n,u(arguments));return this instanceof o?m(t,r.length,r):t.apply(e,r)};return a(r)&&(o.prototype=r),o}},6916:(e,t,r)=>{var n=r(4374),i=Function.prototype.call;e.exports=n?i.bind(i):function(){return i.apply(i,arguments)}},6530:(e,t,r)=>{var n=r(9781),i=r(2597),a=Function.prototype,o=n&&Object.getOwnPropertyDescriptor,u=i(a,"name"),s=u&&"something"===function(){}.name,c=u&&(!n||n&&o(a,"name").configurable);e.exports={EXISTS:u,PROPER:s,CONFIGURABLE:c}},1702:(e,t,r)=>{var n=r(4374),i=Function.prototype,a=i.bind,o=i.call,u=n&&a.bind(o,o);e.exports=n?function(e){return e&&u(e)}:function(e){return e&&function(){return o.apply(e,arguments)}}},5005:(e,t,r)=>{var n=r(7854),i=r(614),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]}},1246:(e,t,r)=>{var n=r(648),i=r(8173),a=r(7497),o=r(5112)("iterator");e.exports=function(e){if(null!=e)return i(e,o)||i(e,"@@iterator")||a[n(e)]}},8554:(e,t,r)=>{var n=r(6916),i=r(9662),a=r(9670),o=r(6330),u=r(1246),s=TypeError;e.exports=function(e,t){var r=arguments.length<2?u(e):t;if(i(r))return a(n(r,e));throw s(o(e)+" is not iterable")}},8173:(e,t,r)=>{var n=r(9662);e.exports=function(e,t){var r=e[t];return null==r?void 0:n(r)}},647:(e,t,r)=>{var n=r(1702),i=r(7908),a=Math.floor,o=n("".charAt),u=n("".replace),s=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),u(p,d,(function(i,u){var c;switch(o(u,0)){case"$":return"$";case"&":return e;case"`":return s(t,0,r);case"'":return s(t,m);case"<":c=l[s(u,1,-1)];break;default:var f=+u;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(u,1):n[p-1]+o(u,1):i}c=n[f-1]}return void 0===c?"":c}))}},7854:(e,t,r)=>{var n=function(e){return e&&e.Math==Math&&e};e.exports=n("object"==typeof globalThis&&globalThis)||n("object"==typeof window&&window)||n("object"==typeof self&&self)||n("object"==typeof r.g&&r.g)||function(){return this}()||Function("return this")()},2597:(e,t,r)=>{var n=r(1702),i=r(7908),a=n({}.hasOwnProperty);e.exports=Object.hasOwn||function(e,t){return a(i(e),t)}},3501:e=>{e.exports={}},842:(e,t,r)=>{var n=r(7854);e.exports=function(e,t){var r=n.console;r&&r.error&&(1==arguments.length?r.error(e):r.error(e,t))}},490:(e,t,r)=>{var n=r(5005);e.exports=n("document","documentElement")},4664:(e,t,r)=>{var n=r(9781),i=r(7293),a=r(317);e.exports=!n&&!i((function(){return 7!=Object.defineProperty(a("div"),"a",{get:function(){return 7}}).a}))},8361:(e,t,r)=>{var n=r(1702),i=r(7293),a=r(4326),o=Object,u=n("".split);e.exports=i((function(){return!o("z").propertyIsEnumerable(0)}))?function(e){return"String"==a(e)?u(e,""):o(e)}:o},9587:(e,t,r)=>{var n=r(614),i=r(111),a=r(7674);e.exports=function(e,t,r){var o,u;return a&&n(o=t.constructor)&&o!==r&&i(u=o.prototype)&&u!==r.prototype&&a(e,u),e}},2788:(e,t,r)=>{var n=r(1702),i=r(614),a=r(5465),o=n(Function.toString);i(a.inspectSource)||(a.inspectSource=function(e){return o(e)}),e.exports=a.inspectSource},2423:(e,t,r)=>{var n=r(2109),i=r(1702),a=r(3501),o=r(111),u=r(2597),s=r(3070).f,c=r(8006),f=r(1156),l=r(2050),p=r(9711),m=r(6677),h=!1,d=p("meta"),v=0,g=function(e){s(e,d,{value:{objectID:"O"+v++,weakData:{}}})},y=e.exports={enable:function(){y.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(!u(e,d)){if(!l(e))return"F";if(!t)return"E";g(e)}return e[d].objectID},getWeakData:function(e,t){if(!u(e,d)){if(!l(e))return!0;if(!t)return!1;g(e)}return e[d].weakData},onFreeze:function(e){return m&&h&&l(e)&&!u(e,d)&&g(e),e}};a[d]=!0},9909:(e,t,r)=>{var n,i,a,o=r(8536),u=r(7854),s=r(1702),c=r(111),f=r(8880),l=r(2597),p=r(5465),m=r(6200),h=r(3501),d="Object already initialized",v=u.TypeError,g=u.WeakMap;if(o||p.state){var y=p.state||(p.state=new g),x=s(y.get),b=s(y.has),w=s(y.set);n=function(e,t){if(b(y,e))throw new v(d);return t.facade=e,w(y,e,t),t},i=function(e){return x(y,e)||{}},a=function(e){return b(y,e)}}else{var N=m("state");h[N]=!0,n=function(e,t){if(l(e,N))throw new v(d);return t.facade=e,f(e,N,t),t},i=function(e){return l(e,N)?e[N]:{}},a=function(e){return l(e,N)}}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 v("Incompatible receiver, "+e+" required");return r}}}},7659:(e,t,r)=>{var n=r(5112),i=r(7497),a=n("iterator"),o=Array.prototype;e.exports=function(e){return void 0!==e&&(i.Array===e||o[a]===e)}},3157:(e,t,r)=>{var n=r(4326);e.exports=Array.isArray||function(e){return"Array"==n(e)}},614:e=>{e.exports=function(e){return"function"==typeof e}},4411:(e,t,r)=>{var n=r(1702),i=r(7293),a=r(614),o=r(648),u=r(5005),s=r(2788),c=function(){},f=[],l=u("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,s(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},4705:(e,t,r)=>{var n=r(7293),i=r(614),a=/#|\.prototype\./,o=function(e,t){var r=s[u(e)];return r==f||r!=c&&(i(t)?n(t):!!t)},u=o.normalize=function(e){return String(e).replace(a,".").toLowerCase()},s=o.data={},c=o.NATIVE="N",f=o.POLYFILL="P";e.exports=o},111:(e,t,r)=>{var n=r(614);e.exports=function(e){return"object"==typeof e?null!==e:n(e)}},1913:e=>{e.exports=!1},7850:(e,t,r)=>{var n=r(111),i=r(4326),a=r(5112)("match");e.exports=function(e){var t;return n(e)&&(void 0!==(t=e[a])?!!t:"RegExp"==i(e))}},2190:(e,t,r)=>{var n=r(5005),i=r(614),a=r(7976),o=r(3307),u=Object;e.exports=o?function(e){return"symbol"==typeof e}:function(e){var t=n("Symbol");return i(t)&&a(t.prototype,u(e))}},408:(e,t,r)=>{var n=r(9974),i=r(6916),a=r(9670),o=r(6330),u=r(7659),s=r(6244),c=r(7976),f=r(8554),l=r(1246),p=r(9212),m=TypeError,h=function(e,t){this.stopped=e,this.result=t},d=h.prototype;e.exports=function(e,t,r){var v,g,y,x,b,w,N,D=r&&r.that,E=!(!r||!r.AS_ENTRIES),A=!(!r||!r.IS_RECORD),S=!(!r||!r.IS_ITERATOR),C=!(!r||!r.INTERRUPTED),M=n(t,D),F=function(e){return v&&p(v,"normal",e),new h(!0,e)},O=function(e){return E?(a(e),C?M(e[0],e[1],F):M(e[0],e[1])):C?M(e,F):M(e)};if(A)v=e.iterator;else if(S)v=e;else{if(!(g=l(e)))throw m(o(e)+" is not iterable");if(u(g)){for(y=0,x=s(e);x>y;y++)if((b=O(e[y]))&&c(d,b))return b;return new h(!1)}v=f(e,g)}for(w=A?e.next:v.next;!(N=i(w,v)).done;){try{b=O(N.value)}catch(e){p(v,"throw",e)}if("object"==typeof b&&b&&c(d,b))return b}return new h(!1)}},9212:(e,t,r)=>{var n=r(6916),i=r(9670),a=r(8173);e.exports=function(e,t,r){var o,u;i(e);try{if(!(o=a(e,"return"))){if("throw"===t)throw r;return r}o=n(o,e)}catch(e){u=!0,o=e}if("throw"===t)throw r;if(u)throw o;return i(o),r}},3383:(e,t,r)=>{"use strict";var n,i,a,o=r(7293),u=r(614),s=r(30),c=r(9518),f=r(8052),l=r(5112),p=r(1913),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=s(n)),u(n[m])||f(n,m,(function(){return this})),e.exports={IteratorPrototype:n,BUGGY_SAFARI_ITERATORS:h}},7497:e=>{e.exports={}},6244:(e,t,r)=>{var n=r(7466);e.exports=function(e){return n(e.length)}},6339:(e,t,r)=>{var n=r(7293),i=r(614),a=r(2597),o=r(9781),u=r(6530).CONFIGURABLE,s=r(2788),c=r(9909),f=c.enforce,l=c.get,p=Object.defineProperty,m=o&&!n((function(){return 8!==p((function(){}),"length",{value:8}).length})),h=String(String).split("String"),d=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")||u&&e.name!==t)&&(o?p(e,"name",{value:t,configurable:!0}):e.name=t),m&&r&&a(r,"arity")&&e.length!==r.arity&&p(e,"length",{value:r.arity});try{r&&a(r,"constructor")&&r.constructor?o&&p(e,"prototype",{writable:!1}):e.prototype&&(e.prototype=void 0)}catch(e){}var n=f(e);return a(n,"source")||(n.source=h.join("string"==typeof t?t:"")),e};Function.prototype.toString=d((function(){return i(this)&&l(this).source||s(this)}),"toString")},6736:e=>{var t=Math.expm1,r=Math.exp;e.exports=!t||t(10)>22025.465794806718||t(10)<22025.465794806718||-2e-17!=t(-2e-17)?function(e){var t=+e;return 0==t?t:t>-1e-6&&t<1e-6?t+t*t/2:r(t)-1}:t},403:e=>{var t=Math.log,r=Math.LOG10E;e.exports=Math.log10||function(e){return t(e)*r}},6513:e=>{var t=Math.log;e.exports=Math.log1p||function(e){var r=+e;return r>-1e-8&&r<1e-8?r-r*r/2:t(1+r)}},4310:e=>{e.exports=Math.sign||function(e){var t=+e;return 0==t||t!=t?t:t<0?-1:1}},4758:e=>{var t=Math.ceil,r=Math.floor;e.exports=Math.trunc||function(e){var n=+e;return(n>0?r:t)(n)}},5948:(e,t,r)=>{var n,i,a,o,u,s,c,f,l=r(7854),p=r(9974),m=r(1236).f,h=r(261).set,d=r(6833),v=r(1528),g=r(1036),y=r(5268),x=l.MutationObserver||l.WebKitMutationObserver,b=l.document,w=l.process,N=l.Promise,D=m(l,"queueMicrotask"),E=D&&D.value;E||(n=function(){var e,t;for(y&&(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||y||g||!x||!b?!v&&N&&N.resolve?((c=N.resolve(void 0)).constructor=N,f=p(c.then,c),o=function(){f(n)}):y?o=function(){w.nextTick(n)}:(h=p(h,l),o=function(){h(n)}):(u=!0,s=b.createTextNode(""),new x(n).observe(s,{characterData:!0}),o=function(){s.data=u=!u})),e.exports=E||function(e){var t={fn:e,next:void 0};a&&(a.next=t),i||(i=t,o()),a=t}},735:(e,t,r)=>{var n=r(133);e.exports=n&&!!Symbol.for&&!!Symbol.keyFor},133:(e,t,r)=>{var n=r(7392),i=r(7293);e.exports=!!Object.getOwnPropertySymbols&&!i((function(){var e=Symbol();return!String(e)||!(Object(e)instanceof Symbol)||!Symbol.sham&&n&&n<41}))},8536:(e,t,r)=>{var n=r(7854),i=r(614),a=r(2788),o=n.WeakMap;e.exports=i(o)&&/native code/.test(a(o))},8523:(e,t,r)=>{"use strict";var n=r(9662),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)}},3929:(e,t,r)=>{var n=r(7850),i=TypeError;e.exports=function(e){if(n(e))throw i("The method doesn't accept regular expressions");return e}},2814:(e,t,r)=>{var n=r(7854),i=r(7293),a=r(1702),o=r(1340),u=r(3111).trim,s=r(1361),c=a("".charAt),f=n.parseFloat,l=n.Symbol,p=l&&l.iterator,m=1/f(s+"-0")!=-1/0||p&&!i((function(){f(Object(p))}));e.exports=m?function(e){var t=u(o(e)),r=f(t);return 0===r&&"-"==c(t,0)?-0:r}:f},3009:(e,t,r)=>{var n=r(7854),i=r(7293),a=r(1702),o=r(1340),u=r(3111).trim,s=r(1361),c=n.parseInt,f=n.Symbol,l=f&&f.iterator,p=/^[+-]?0x/i,m=a(p.exec),h=8!==c(s+"08")||22!==c(s+"0x16")||l&&!i((function(){c(Object(l))}));e.exports=h?function(e,t){var r=u(o(e));return c(r,t>>>0||(m(p,r)?16:10))}:c},30:(e,t,r)=>{var n,i=r(9670),a=r(6048),o=r(748),u=r(3501),s=r(490),c=r(317),f=r(6200)("IE_PROTO"),l=function(){},p=function(e){return"<script>"+e+"<\/script>"},m=function(e){e.write(p("")),e.close();var t=e.parentWindow.Object;return e=null,t},h=function(){try{n=new ActiveXObject("htmlfile")}catch(e){}var e,t;h="undefined"!=typeof document?document.domain&&n?m(n):((t=c("iframe")).style.display="none",s.appendChild(t),t.src=String("javascript:"),(e=t.contentWindow.document).open(),e.write(p("document.F=Object")),e.close(),e.F):m(n);for(var r=o.length;r--;)delete h.prototype[o[r]];return h()};u[f]=!0,e.exports=Object.create||function(e,t){var r;return null!==e?(l.prototype=i(e),r=new l,l.prototype=null,r[f]=e):r=h(),void 0===t?r:a.f(r,t)}},6048:(e,t,r)=>{var n=r(9781),i=r(3353),a=r(3070),o=r(9670),u=r(5656),s=r(1956);t.f=n&&!i?Object.defineProperties:function(e,t){o(e);for(var r,n=u(t),i=s(t),c=i.length,f=0;c>f;)a.f(e,r=i[f++],n[r]);return e}},3070:(e,t,r)=>{var n=r(9781),i=r(4664),a=r(3353),o=r(9670),u=r(4948),s=TypeError,c=Object.defineProperty,f=Object.getOwnPropertyDescriptor;t.f=n?a?function(e,t,r){if(o(e),t=u(t),o(r),"function"==typeof e&&"prototype"===t&&"value"in r&&"writable"in r&&!r.writable){var n=f(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 c(e,t,r)}:c:function(e,t,r){if(o(e),t=u(t),o(r),i)try{return c(e,t,r)}catch(e){}if("get"in r||"set"in r)throw s("Accessors not supported");return"value"in r&&(e[t]=r.value),e}},1236:(e,t,r)=>{var n=r(9781),i=r(6916),a=r(5296),o=r(9114),u=r(5656),s=r(4948),c=r(2597),f=r(4664),l=Object.getOwnPropertyDescriptor;t.f=n?l:function(e,t){if(e=u(e),t=s(t),f)try{return l(e,t)}catch(e){}if(c(e,t))return o(!i(a.f,e,t),e[t])}},1156:(e,t,r)=>{var n=r(4326),i=r(5656),a=r(8006).f,o=r(1589),u="object"==typeof window&&window&&Object.getOwnPropertyNames?Object.getOwnPropertyNames(window):[];e.exports.f=function(e){return u&&"Window"==n(e)?function(e){try{return a(e)}catch(e){return o(u)}}(e):a(i(e))}},8006:(e,t,r)=>{var n=r(6324),i=r(748).concat("length","prototype");t.f=Object.getOwnPropertyNames||function(e){return n(e,i)}},5181:(e,t)=>{t.f=Object.getOwnPropertySymbols},9518:(e,t,r)=>{var n=r(2597),i=r(614),a=r(7908),o=r(6200),u=r(8544),s=o("IE_PROTO"),c=Object,f=c.prototype;e.exports=u?c.getPrototypeOf:function(e){var t=a(e);if(n(t,s))return t[s];var r=t.constructor;return i(r)&&t instanceof r?r.prototype:t instanceof c?f:null}},2050:(e,t,r)=>{var n=r(7293),i=r(111),a=r(4326),o=r(7556),u=Object.isExtensible,s=n((function(){u(1)}));e.exports=s||o?function(e){return!!i(e)&&(!o||"ArrayBuffer"!=a(e))&&(!u||u(e))}:u},7976:(e,t,r)=>{var n=r(1702);e.exports=n({}.isPrototypeOf)},6324:(e,t,r)=>{var n=r(1702),i=r(2597),a=r(5656),o=r(1318).indexOf,u=r(3501),s=n([].push);e.exports=function(e,t){var r,n=a(e),c=0,f=[];for(r in n)!i(u,r)&&i(n,r)&&s(f,r);for(;t.length>c;)i(n,r=t[c++])&&(~o(f,r)||s(f,r));return f}},1956:(e,t,r)=>{var n=r(6324),i=r(748);e.exports=Object.keys||function(e){return n(e,i)}},5296:(e,t)=>{"use strict";var r={}.propertyIsEnumerable,n=Object.getOwnPropertyDescriptor,i=n&&!r.call({1:2},1);t.f=i?function(e){var t=n(this,e);return!!t&&t.enumerable}:r},7674:(e,t,r)=>{var n=r(1702),i=r(9670),a=r(6077);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)},288:(e,t,r)=>{"use strict";var n=r(1694),i=r(648);e.exports=n?{}.toString:function(){return"[object "+i(this)+"]"}},2140:(e,t,r)=>{var n=r(6916),i=r(614),a=r(111),o=TypeError;e.exports=function(e,t){var r,u;if("string"===t&&i(r=e.toString)&&!a(u=n(r,e)))return u;if(i(r=e.valueOf)&&!a(u=n(r,e)))return u;if("string"!==t&&i(r=e.toString)&&!a(u=n(r,e)))return u;throw o("Can't convert object to primitive value")}},3887:(e,t,r)=>{var n=r(5005),i=r(1702),a=r(8006),o=r(5181),u=r(9670),s=i([].concat);e.exports=n("Reflect","ownKeys")||function(e){var t=a.f(u(e)),r=o.f;return r?s(t,r(e)):t}},857:(e,t,r)=>{var n=r(7854);e.exports=n},2534:e=>{e.exports=function(e){try{return{error:!1,value:e()}}catch(e){return{error:!0,value:e}}}},3702:(e,t,r)=>{var n=r(7854),i=r(2492),a=r(614),o=r(4705),u=r(2788),s=r(5112),c=r(7871),f=r(1913),l=r(7392),p=i&&i.prototype,m=s("species"),h=!1,d=a(n.PromiseRejectionEvent),v=o("Promise",(function(){var e=u(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}},2492:(e,t,r)=>{var n=r(7854);e.exports=n.Promise},9478:(e,t,r)=>{var n=r(9670),i=r(111),a=r(8523);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}},612:(e,t,r)=>{var n=r(2492),i=r(7072),a=r(3702).CONSTRUCTOR;e.exports=a||!i((function(e){n.all(e).then(void 0,(function(){}))}))},2626:(e,t,r)=>{var n=r(3070).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}})}},8572:e=>{var t=function(){this.head=null,this.tail=null};t.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=t},7651:(e,t,r)=>{var n=r(6916),i=r(9670),a=r(614),o=r(4326),u=r(2261),s=TypeError;e.exports=function(e,t){var r=e.exec;if(a(r)){var c=n(r,e,t);return null!==c&&i(c),c}if("RegExp"===o(e))return n(u,e,t);throw s("RegExp#exec called on incompatible receiver")}},2261:(e,t,r)=>{"use strict";var n,i,a=r(6916),o=r(1702),u=r(1340),s=r(7066),c=r(2999),f=r(2309),l=r(30),p=r(9909).get,m=r(9441),h=r(7168),d=f("native-string-replace",String.prototype.replace),v=RegExp.prototype.exec,g=v,y=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),D=c.BROKEN_CARET,E=void 0!==/()??/.exec("")[1];(N||E||D||m||h)&&(g=function(e){var t,r,n,i,o,c,f,m=this,h=p(m),A=u(e),S=h.raw;if(S)return S.lastIndex=m.lastIndex,t=a(g,S,A),m.lastIndex=S.lastIndex,t;var C=h.groups,M=D&&m.sticky,F=a(s,m),O=m.source,T=0,B=A;if(M&&(F=b(F,"y",""),-1===x(F,"g")&&(F+="g"),B=w(A,m.lastIndex),m.lastIndex>0&&(!m.multiline||m.multiline&&"\n"!==y(A,m.lastIndex-1))&&(O="(?: "+O+")",B=" "+B,T++),r=new RegExp("^(?:"+O+")",F)),E&&(r=new RegExp("^"+O+"$(?!\\s)",F)),N&&(n=m.lastIndex),i=a(v,M?r:m,B),M?i?(i.input=w(i.input,T),i[0]=w(i[0],T),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&&C)for(i.groups=c=l(null),o=0;o<C.length;o++)c[(f=C[o])[0]]=i[f[1]];return i}),e.exports=g},7066:(e,t,r)=>{"use strict";var n=r(9670);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.unicodeSets&&(t+="v"),e.sticky&&(t+="y"),t}},4706:(e,t,r)=>{var n=r(6916),i=r(2597),a=r(7976),o=r(7066),u=RegExp.prototype;e.exports=function(e){var t=e.flags;return void 0!==t||"flags"in u||i(e,"flags")||!a(u,e)?t:n(o,e)}},2999:(e,t,r)=>{var n=r(7293),i=r(7854).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})),u=a||n((function(){var e=i("^r","gy");return e.lastIndex=2,null!=e.exec("str")}));e.exports={BROKEN_CARET:u,MISSED_STICKY:o,UNSUPPORTED_Y:a}},9441:(e,t,r)=>{var n=r(7293),i=r(7854).RegExp;e.exports=n((function(){var e=i(".","s");return!(e.dotAll&&e.exec("\n")&&"s"===e.flags)}))},7168:(e,t,r)=>{var n=r(7293),i=r(7854).RegExp;e.exports=n((function(){var e=i("(?<a>b)","g");return"b"!==e.exec("b").groups.a||"bc"!=="b".replace(e,"$<a>c")}))},4488:e=>{var t=TypeError;e.exports=function(e){if(null==e)throw t("Can't call method on "+e);return e}},6340:(e,t,r)=>{"use strict";var n=r(5005),i=r(3070),a=r(5112),o=r(9781),u=a("species");e.exports=function(e){var t=n(e),r=i.f;o&&t&&!t[u]&&r(t,u,{configurable:!0,get:function(){return this}})}},8003:(e,t,r)=>{var n=r(3070).f,i=r(2597),a=r(5112)("toStringTag");e.exports=function(e,t,r){e&&!r&&(e=e.prototype),e&&!i(e,a)&&n(e,a,{configurable:!0,value:t})}},6200:(e,t,r)=>{var n=r(2309),i=r(9711),a=n("keys");e.exports=function(e){return a[e]||(a[e]=i(e))}},5465:(e,t,r)=>{var n=r(7854),i=r(3072),a="__core-js_shared__",o=n[a]||i(a,{});e.exports=o},2309:(e,t,r)=>{var n=r(1913),i=r(5465);(e.exports=function(e,t){return i[e]||(i[e]=void 0!==t?t:{})})("versions",[]).push({version:"3.23.5",mode:n?"pure":"global",copyright:"© 2014-2022 Denis Pushkarev (zloirock.ru)",license:"https://github.com/zloirock/core-js/blob/v3.23.5/LICENSE",source:"https://github.com/zloirock/core-js"})},6707:(e,t,r)=>{var n=r(9670),i=r(9483),a=r(5112)("species");e.exports=function(e,t){var r,o=n(e).constructor;return void 0===o||null==(r=n(o)[a])?t:i(r)}},3429:(e,t,r)=>{var n=r(7293);e.exports=function(e){return n((function(){var t=""[e]('"');return t!==t.toLowerCase()||t.split('"').length>3}))}},8710:(e,t,r)=>{var n=r(1702),i=r(9303),a=r(1340),o=r(4488),u=n("".charAt),s=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=s(l,p))<55296||n>56319||p+1===m||(f=s(l,p+1))<56320||f>57343?e?u(l,p):n:e?c(l,p,p+2):f-56320+(n-55296<<10)+65536}};e.exports={codeAt:f(!1),charAt:f(!0)}},8415:(e,t,r)=>{"use strict";var n=r(9303),i=r(1340),a=r(4488),o=RangeError;e.exports=function(e){var t=i(a(this)),r="",u=n(e);if(u<0||u==1/0)throw o("Wrong number of repetitions");for(;u>0;(u>>>=1)&&(t+=t))1&u&&(r+=t);return r}},6091:(e,t,r)=>{var n=r(6530).PROPER,i=r(7293),a=r(1361);e.exports=function(e){return i((function(){return!!a[e]()||"​…᠎"!=="​…᠎"[e]()||n&&a[e].name!==e}))}},3111:(e,t,r)=>{var n=r(1702),i=r(4488),a=r(1340),o=r(1361),u=n("".replace),s="["+o+"]",c=RegExp("^"+s+s+"*"),f=RegExp(s+s+"*$"),l=function(e){return function(t){var r=a(i(t));return 1&e&&(r=u(r,c,"")),2&e&&(r=u(r,f,"")),r}};e.exports={start:l(1),end:l(2),trim:l(3)}},6532:(e,t,r)=>{var n=r(6916),i=r(5005),a=r(5112),o=r(8052);e.exports=function(){var e=i("Symbol"),t=e&&e.prototype,r=t&&t.valueOf,u=a("toPrimitive");t&&!t[u]&&o(t,u,(function(e){return n(r,this)}),{arity:1})}},261:(e,t,r)=>{var n,i,a,o,u=r(7854),s=r(2104),c=r(9974),f=r(614),l=r(2597),p=r(7293),m=r(490),h=r(206),d=r(317),v=r(8053),g=r(6833),y=r(5268),x=u.setImmediate,b=u.clearImmediate,w=u.process,N=u.Dispatch,D=u.Function,E=u.MessageChannel,A=u.String,S=0,C={};try{n=u.location}catch(e){}var M=function(e){if(l(C,e)){var t=C[e];delete C[e],t()}},F=function(e){return function(){M(e)}},O=function(e){M(e.data)},T=function(e){u.postMessage(A(e),n.protocol+"//"+n.host)};x&&b||(x=function(e){v(arguments.length,1);var t=f(e)?e:D(e),r=h(arguments,1);return C[++S]=function(){s(t,void 0,r)},i(S),S},b=function(e){delete C[e]},y?i=function(e){w.nextTick(F(e))}:N&&N.now?i=function(e){N.now(F(e))}:E&&!g?(o=(a=new E).port2,a.port1.onmessage=O,i=c(o.postMessage,o)):u.addEventListener&&f(u.postMessage)&&!u.importScripts&&n&&"file:"!==n.protocol&&!p(T)?(i=T,u.addEventListener("message",O,!1)):i="onreadystatechange"in d("script")?function(e){m.appendChild(d("script")).onreadystatechange=function(){m.removeChild(this),M(e)}}:function(e){setTimeout(F(e),0)}),e.exports={set:x,clear:b}},863:(e,t,r)=>{var n=r(1702);e.exports=n(1..valueOf)},1400:(e,t,r)=>{var n=r(9303),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)}},5656:(e,t,r)=>{var n=r(8361),i=r(4488);e.exports=function(e){return n(i(e))}},9303:(e,t,r)=>{var n=r(4758);e.exports=function(e){var t=+e;return t!=t||0===t?0:n(t)}},7466:(e,t,r)=>{var n=r(9303),i=Math.min;e.exports=function(e){return e>0?i(n(e),9007199254740991):0}},7908:(e,t,r)=>{var n=r(4488),i=Object;e.exports=function(e){return i(n(e))}},7593:(e,t,r)=>{var n=r(6916),i=r(111),a=r(2190),o=r(8173),u=r(2140),s=r(5112),c=TypeError,f=s("toPrimitive");e.exports=function(e,t){if(!i(e)||a(e))return e;var r,s=o(e,f);if(s){if(void 0===t&&(t="default"),r=n(s,e,t),!i(r)||a(r))return r;throw c("Can't convert object to primitive value")}return void 0===t&&(t="number"),u(e,t)}},4948:(e,t,r)=>{var n=r(7593),i=r(2190);e.exports=function(e){var t=n(e,"string");return i(t)?t:t+""}},1694:(e,t,r)=>{var n={};n[r(5112)("toStringTag")]="z",e.exports="[object z]"===String(n)},1340:(e,t,r)=>{var n=r(648),i=String;e.exports=function(e){if("Symbol"===n(e))throw TypeError("Cannot convert a Symbol value to a string");return i(e)}},6330:e=>{var t=String;e.exports=function(e){try{return t(e)}catch(e){return"Object"}}},9711:(e,t,r)=>{var n=r(1702),i=0,a=Math.random(),o=n(1..toString);e.exports=function(e){return"Symbol("+(void 0===e?"":e)+")_"+o(++i+a,36)}},3307:(e,t,r)=>{var n=r(133);e.exports=n&&!Symbol.sham&&"symbol"==typeof Symbol.iterator},3353:(e,t,r)=>{var n=r(9781),i=r(7293);e.exports=n&&i((function(){return 42!=Object.defineProperty((function(){}),"prototype",{value:42,writable:!1}).prototype}))},8053:e=>{var t=TypeError;e.exports=function(e,r){if(e<r)throw t("Not enough arguments");return e}},6061:(e,t,r)=>{var n=r(5112);t.f=n},5112:(e,t,r)=>{var n=r(7854),i=r(2309),a=r(2597),o=r(9711),u=r(133),s=r(3307),c=i("wks"),f=n.Symbol,l=f&&f.for,p=s?f:f&&f.withoutSetter||o;e.exports=function(e){if(!a(c,e)||!u&&"string"!=typeof c[e]){var t="Symbol."+e;u&&a(f,e)?c[e]=f[e]:c[e]=s&&l?l(t):p(t)}return c[e]}},1361:e=>{e.exports="\t\n\v\f\r                　\u2028\u2029\ufeff"},2222:(e,t,r)=>{"use strict";var n=r(2109),i=r(7293),a=r(3157),o=r(111),u=r(7908),s=r(6244),c=r(7207),f=r(6135),l=r(5417),p=r(1194),m=r(5112),h=r(7392),d=m("isConcatSpreadable"),v=h>=51||!i((function(){var e=[];return e[d]=!1,e.concat()[0]!==e})),g=p("concat"),y=function(e){if(!o(e))return!1;var t=e[d];return void 0!==t?!!t:a(e)};n({target:"Array",proto:!0,arity:1,forced:!v||!g},{concat:function(e){var t,r,n,i,a,o=u(this),p=l(o,0),m=0;for(t=-1,n=arguments.length;t<n;t++)if(y(a=-1===t?o:arguments[t]))for(i=s(a),c(m+i),r=0;r<i;r++,m++)r in a&&f(p,m,a[r]);else c(m+1),f(p,m++,a);return p.length=m,p}})},6541:(e,t,r)=>{"use strict";var n=r(2109),i=r(2092).every;n({target:"Array",proto:!0,forced:!r(9341)("every")},{every:function(e){return i(this,e,arguments.length>1?arguments[1]:void 0)}})},3290:(e,t,r)=>{var n=r(2109),i=r(1285),a=r(1223);n({target:"Array",proto:!0},{fill:i}),a("fill")},7327:(e,t,r)=>{"use strict";var n=r(2109),i=r(2092).filter;n({target:"Array",proto:!0,forced:!r(1194)("filter")},{filter:function(e){return i(this,e,arguments.length>1?arguments[1]:void 0)}})},9826:(e,t,r)=>{"use strict";var n=r(2109),i=r(2092).find,a=r(1223),o="find",u=!0;o in[]&&Array(1).find((function(){u=!1})),n({target:"Array",proto:!0,forced:u},{find:function(e){return i(this,e,arguments.length>1?arguments[1]:void 0)}}),a(o)},9554:(e,t,r)=>{"use strict";var n=r(2109),i=r(8533);n({target:"Array",proto:!0,forced:[].forEach!=i},{forEach:i})},1038:(e,t,r)=>{var n=r(2109),i=r(8457);n({target:"Array",stat:!0,forced:!r(7072)((function(e){Array.from(e)}))},{from:i})},6699:(e,t,r)=>{"use strict";var n=r(2109),i=r(1318).includes,a=r(7293),o=r(1223);n({target:"Array",proto:!0,forced:a((function(){return!Array(1).includes()}))},{includes:function(e){return i(this,e,arguments.length>1?arguments[1]:void 0)}}),o("includes")},2772:(e,t,r)=>{"use strict";var n=r(2109),i=r(1702),a=r(1318).indexOf,o=r(9341),u=i([].indexOf),s=!!u&&1/u([1],1,-0)<0,c=o("indexOf");n({target:"Array",proto:!0,forced:s||!c},{indexOf:function(e){var t=arguments.length>1?arguments[1]:void 0;return s?u(this,e,t)||0:a(this,e,t)}})},9753:(e,t,r)=>{r(2109)({target:"Array",stat:!0},{isArray:r(3157)})},6992:(e,t,r)=>{"use strict";var n=r(5656),i=r(1223),a=r(7497),o=r(9909),u=r(3070).f,s=r(654),c=r(1913),f=r(9781),l="Array Iterator",p=o.set,m=o.getterFor(l);e.exports=s(Array,"Array",(function(e,t){p(this,{type:l,target:n(e),index:0,kind:t})}),(function(){var e=m(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 h=a.Arguments=a.Array;if(i("keys"),i("values"),i("entries"),!c&&f&&"values"!==h.name)try{u(h,"name",{value:"values"})}catch(e){}},9600:(e,t,r)=>{"use strict";var n=r(2109),i=r(1702),a=r(8361),o=r(5656),u=r(9341),s=i([].join),c=a!=Object,f=u("join",",");n({target:"Array",proto:!0,forced:c||!f},{join:function(e){return s(o(this),void 0===e?",":e)}})},1249:(e,t,r)=>{"use strict";var n=r(2109),i=r(2092).map;n({target:"Array",proto:!0,forced:!r(1194)("map")},{map:function(e){return i(this,e,arguments.length>1?arguments[1]:void 0)}})},5827:(e,t,r)=>{"use strict";var n=r(2109),i=r(3671).left,a=r(9341),o=r(7392),u=r(5268);n({target:"Array",proto:!0,forced:!a("reduce")||!u&&o>79&&o<83},{reduce:function(e){var t=arguments.length;return i(this,e,t,t>1?arguments[1]:void 0)}})},5069:(e,t,r)=>{"use strict";var n=r(2109),i=r(1702),a=r(3157),o=i([].reverse),u=[1,2];n({target:"Array",proto:!0,forced:String(u)===String(u.reverse())},{reverse:function(){return a(this)&&(this.length=this.length),o(this)}})},7042:(e,t,r)=>{"use strict";var n=r(2109),i=r(3157),a=r(4411),o=r(111),u=r(1400),s=r(6244),c=r(5656),f=r(6135),l=r(5112),p=r(1194),m=r(206),h=p("slice"),d=l("species"),v=Array,g=Math.max;n({target:"Array",proto:!0,forced:!h},{slice:function(e,t){var r,n,l,p=c(this),h=s(p),y=u(e,h),x=u(void 0===t?h:t,h);if(i(p)&&(r=p.constructor,(a(r)&&(r===v||i(r.prototype))||o(r)&&null===(r=r[d]))&&(r=void 0),r===v||void 0===r))return m(p,y,x);for(n=new(void 0===r?v:r)(g(x-y,0)),l=0;y<x;y++,l++)y in p&&f(n,l,p[y]);return n.length=l,n}})},5212:(e,t,r)=>{"use strict";var n=r(2109),i=r(2092).some;n({target:"Array",proto:!0,forced:!r(9341)("some")},{some:function(e){return i(this,e,arguments.length>1?arguments[1]:void 0)}})},2707:(e,t,r)=>{"use strict";var n=r(2109),i=r(1702),a=r(9662),o=r(7908),u=r(6244),s=r(5117),c=r(1340),f=r(7293),l=r(4362),p=r(9341),m=r(8886),h=r(256),d=r(7392),v=r(8008),g=[],y=i(g.sort),x=i(g.push),b=f((function(){g.sort(void 0)})),w=f((function(){g.sort(null)})),N=p("sort"),D=!f((function(){if(d)return d<70;if(!(m&&m>3)){if(h)return!0;if(v)return v<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++)g.push({k:t+n,v:r})}for(g.sort((function(e,t){return t.v-e.v})),n=0;n<g.length;n++)t=g[n].k.charAt(0),i.charAt(i.length-1)!==t&&(i+=t);return"DGBEFHACIJK"!==i}}));n({target:"Array",proto:!0,forced:b||!w||!N||!D},{sort:function(e){void 0!==e&&a(e);var t=o(this);if(D)return void 0===e?y(t):y(t,e);var r,n,i=[],f=u(t);for(n=0;n<f;n++)n in t&&x(i,t[n]);for(l(i,function(e){return function(t,r){return void 0===r?-1:void 0===t?1:void 0!==e?+e(t,r)||0:c(t)>c(r)?1:-1}}(e)),r=i.length,n=0;n<r;)t[n]=i[n++];for(;n<f;)s(t,n++);return t}})},561:(e,t,r)=>{"use strict";var n=r(2109),i=r(7908),a=r(1400),o=r(9303),u=r(6244),s=r(7207),c=r(5417),f=r(6135),l=r(5117),p=r(1194)("splice"),m=Math.max,h=Math.min;n({target:"Array",proto:!0,forced:!p},{splice:function(e,t){var r,n,p,d,v,g,y=i(this),x=u(y),b=a(e,x),w=arguments.length;for(0===w?r=n=0:1===w?(r=0,n=x-b):(r=w-2,n=h(m(o(t),0),x-b)),s(x+r-n),p=c(y,n),d=0;d<n;d++)(v=b+d)in y&&f(p,d,y[v]);if(p.length=n,r<n){for(d=b;d<x-n;d++)g=d+r,(v=d+n)in y?y[g]=y[v]:l(y,g);for(d=x;d>x-n+r;d--)l(y,d-1)}else if(r>n)for(d=x-n;d>b;d--)g=d+r-1,(v=d+n-1)in y?y[g]=y[v]:l(y,g);for(d=0;d<r;d++)y[d+b]=arguments[d+2];return y.length=x-n+r,p}})},3843:(e,t,r)=>{var n=r(2109),i=r(1702),a=Date,o=i(a.prototype.getTime);n({target:"Date",stat:!0},{now:function(){return o(new a)}})},5735:(e,t,r)=>{"use strict";var n=r(2109),i=r(7293),a=r(7908),o=r(7593);n({target:"Date",proto:!0,arity:1,forced:i((function(){return null!==new Date(NaN).toJSON()||1!==Date.prototype.toJSON.call({toISOString:function(){return 1}})}))},{toJSON:function(e){var t=a(this),r=o(t,"number");return"number"!=typeof r||isFinite(r)?t.toISOString():null}})},3710:(e,t,r)=>{var n=r(1702),i=r(8052),a=Date.prototype,o="Invalid Date",u=n(a.toString),s=n(a.getTime);String(new Date(NaN))!=o&&i(a,"toString",(function(){var e=s(this);return e==e?u(this):o}))},4812:(e,t,r)=>{var n=r(2109),i=r(7065);n({target:"Function",proto:!0,forced:Function.bind!==i},{bind:i})},8309:(e,t,r)=>{var n=r(9781),i=r(6530).EXISTS,a=r(1702),o=r(3070).f,u=Function.prototype,s=a(u.toString),c=/function\b(?:\s|\/\*[\S\s]*?\*\/|\/\/[^\n\r]*[\n\r]+)*([^\s(/]*)/,f=a(c.exec);n&&!i&&o(u,"name",{configurable:!0,get:function(){try{return f(c,s(this))[1]}catch(e){return""}}})},8862:(e,t,r)=>{var n=r(2109),i=r(5005),a=r(2104),o=r(6916),u=r(1702),s=r(7293),c=r(3157),f=r(614),l=r(111),p=r(2190),m=r(206),h=r(133),d=i("JSON","stringify"),v=u(/./.exec),g=u("".charAt),y=u("".charCodeAt),x=u("".replace),b=u(1..toString),w=/[\uD800-\uDFFF]/g,N=/^[\uD800-\uDBFF]$/,D=/^[\uDC00-\uDFFF]$/,E=!h||s((function(){var e=i("Symbol")();return"[null]"!=d([e])||"{}"!=d({a:e})||"{}"!=d(Object(e))})),A=s((function(){return'"\\udf06\\ud834"'!==d("\udf06\ud834")||'"\\udead"'!==d("\udead")})),S=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)},C=function(e,t,r){var n=g(r,t-1),i=g(r,t+1);return v(N,e)&&!v(D,i)||v(D,e)&&!v(N,n)?"\\u"+b(y(e,0),16):e};d&&n({target:"JSON",stat:!0,arity:3,forced:E||A},{stringify:function(e,t,r){var n=m(arguments),i=a(E?S:d,null,n);return A&&"string"==typeof i?x(i,w,C):i}})},9098:(e,t,r)=>{"use strict";r(7710)("Map",(function(e){return function(){return e(this,arguments.length?arguments[0]:void 0)}}),r(5631))},1532:(e,t,r)=>{r(9098)},9752:(e,t,r)=>{var n=r(2109),i=r(6513),a=Math.acosh,o=Math.log,u=Math.sqrt,s=Math.LN2;n({target:"Math",stat:!0,forced:!a||710!=Math.floor(a(Number.MAX_VALUE))||a(1/0)!=1/0},{acosh:function(e){var t=+e;return t<1?NaN:t>94906265.62425156?o(t)+s:i(t-1+u(t-1)*u(t+1))}})},2376:(e,t,r)=>{var n=r(2109),i=Math.asinh,a=Math.log,o=Math.sqrt;n({target:"Math",stat:!0,forced:!(i&&1/i(0)>0)},{asinh:function e(t){var r=+t;return isFinite(r)&&0!=r?r<0?-e(-r):a(r+o(r*r+1)):r}})},3181:(e,t,r)=>{var n=r(2109),i=Math.atanh,a=Math.log;n({target:"Math",stat:!0,forced:!(i&&1/i(-0)<0)},{atanh:function(e){var t=+e;return 0==t?t:a((1+t)/(1-t))/2}})},3484:(e,t,r)=>{var n=r(2109),i=r(4310),a=Math.abs,o=Math.pow;n({target:"Math",stat:!0},{cbrt:function(e){var t=+e;return i(t)*o(a(t),1/3)}})},8621:(e,t,r)=>{var n=r(2109),i=r(6736),a=Math.cosh,o=Math.abs,u=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*u*u))*(u/2)}})},5890:(e,t,r)=>{var n=r(2109),i=r(6736);n({target:"Math",stat:!0,forced:i!=Math.expm1},{expm1:i})},658:(e,t,r)=>{r(2109)({target:"Math",stat:!0},{log10:r(403)})},197:(e,t,r)=>{r(2109)({target:"Math",stat:!0},{log1p:r(6513)})},4914:(e,t,r)=>{var n=r(2109),i=Math.log,a=Math.LN2;n({target:"Math",stat:!0},{log2:function(e){return i(e)/a}})},2420:(e,t,r)=>{r(2109)({target:"Math",stat:!0},{sign:r(4310)})},160:(e,t,r)=>{var n=r(2109),i=r(7293),a=r(6736),o=Math.abs,u=Math.exp,s=Math.E;n({target:"Math",stat:!0,forced:i((function(){return-2e-17!=Math.sinh(-2e-17)}))},{sinh:function(e){var t=+e;return o(t)<1?(a(t)-a(-t))/2:(u(t-1)-u(-t-1))*(s/2)}})},970:(e,t,r)=>{var n=r(2109),i=r(6736),a=Math.exp;n({target:"Math",stat:!0},{tanh:function(e){var t=+e,r=i(t),n=i(-t);return r==1/0?1:n==1/0?-1:(r-n)/(a(t)+a(-t))}})},9653:(e,t,r)=>{"use strict";var n=r(9781),i=r(7854),a=r(1702),o=r(4705),u=r(8052),s=r(2597),c=r(9587),f=r(7976),l=r(2190),p=r(7593),m=r(7293),h=r(8006).f,d=r(1236).f,v=r(3070).f,g=r(863),y=r(3111).trim,x="Number",b=i.Number,w=b.prototype,N=i.TypeError,D=a("".slice),E=a("".charCodeAt),A=function(e){var t=p(e,"number");return"bigint"==typeof t?t:S(t)},S=function(e){var t,r,n,i,a,o,u,s,c=p(e,"number");if(l(c))throw N("Cannot convert a Symbol value to a number");if("string"==typeof c&&c.length>2)if(c=y(c),43===(t=E(c,0))||45===t){if(88===(r=E(c,2))||120===r)return NaN}else if(48===t){switch(E(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=D(c,2)).length,u=0;u<o;u++)if((s=E(a,u))<48||s>i)return NaN;return parseInt(a,n)}return+c};if(o(x,!b(" 0o1")||!b("0b1")||b("+0x1"))){for(var C,M=function(e){var t=arguments.length<1?0:b(A(e)),r=this;return f(w,r)&&m((function(){g(r)}))?c(Object(t),r,M):t},F=n?h(b):"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(","),O=0;F.length>O;O++)s(b,C=F[O])&&!s(M,C)&&v(M,C,d(b,C));M.prototype=w,w.constructor=M,u(i,x,M,{constructor:!0})}},3299:(e,t,r)=>{r(2109)({target:"Number",stat:!0,nonConfigurable:!0,nonWritable:!0},{EPSILON:Math.pow(2,-52)})},4048:(e,t,r)=>{r(2109)({target:"Number",stat:!0},{isNaN:function(e){return e!=e}})},6977:(e,t,r)=>{"use strict";var n=r(2109),i=r(1702),a=r(9303),o=r(863),u=r(8415),s=r(7293),c=RangeError,f=String,l=Math.floor,p=i(u),m=i("".slice),h=i(1..toFixed),d=function(e,t,r){return 0===t?r:t%2==1?d(e,t-1,r*e):d(e*e,t/2,r)},v=function(e,t,r){for(var n=-1,i=r;++n<6;)i+=t*e[n],e[n]=i%1e7,i=l(i/1e7)},g=function(e,t){for(var r=6,n=0;--r>=0;)n+=e[r],e[r]=l(n/t),n=n%t*1e7},y=function(e){for(var t=6,r="";--t>=0;)if(""!==r||0===t||0!==e[t]){var n=f(e[t]);r=""===r?n:r+p("0",7-n.length)+n}return r};n({target:"Number",proto:!0,forced:s((function(){return"0.000"!==h(8e-5,3)||"1"!==h(.9,0)||"1.25"!==h(1.255,2)||"1000000000000000128"!==h(0xde0b6b3a7640080,0)}))||!s((function(){h({})}))},{toFixed:function(e){var t,r,n,i,u=o(this),s=a(e),l=[0,0,0,0,0,0],h="",x="0";if(s<0||s>20)throw c("Incorrect fraction digits");if(u!=u)return"NaN";if(u<=-1e21||u>=1e21)return f(u);if(u<0&&(h="-",u=-u),u>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}(u*d(2,69,1))-69)<0?u*d(2,-t,1):u/d(2,t,1),r*=4503599627370496,(t=52-t)>0){for(v(l,0,r),n=s;n>=7;)v(l,1e7,0),n-=7;for(v(l,d(10,n,1),0),n=t-1;n>=23;)g(l,1<<23),n-=23;g(l,1<<n),v(l,1,1),g(l,2),x=y(l)}else v(l,0,r),v(l,1<<-t,0),x=y(l)+p("0",s);return s>0?h+((i=x.length)<=s?"0."+p("0",s-i)+x:m(x,0,i-s)+"."+m(x,i-s)):h+x}})},5147:(e,t,r)=>{"use strict";var n=r(2109),i=r(1702),a=r(7293),o=r(863),u=i(1..toPrecision);n({target:"Number",proto:!0,forced:a((function(){return"1"!==u(1,void 0)}))||!a((function(){u({})}))},{toPrecision:function(e){return void 0===e?u(o(this)):u(o(this),e)}})},8011:(e,t,r)=>{r(2109)({target:"Object",stat:!0,sham:!r(9781)},{create:r(30)})},3321:(e,t,r)=>{var n=r(2109),i=r(9781),a=r(6048).f;n({target:"Object",stat:!0,forced:Object.defineProperties!==a,sham:!i},{defineProperties:a})},9070:(e,t,r)=>{var n=r(2109),i=r(9781),a=r(3070).f;n({target:"Object",stat:!0,forced:Object.defineProperty!==a,sham:!i},{defineProperty:a})},5003:(e,t,r)=>{var n=r(2109),i=r(7293),a=r(5656),o=r(1236).f,u=r(9781),s=i((function(){o(1)}));n({target:"Object",stat:!0,forced:!u||s,sham:!u},{getOwnPropertyDescriptor:function(e,t){return o(a(e),t)}})},9337:(e,t,r)=>{var n=r(2109),i=r(9781),a=r(3887),o=r(5656),u=r(1236),s=r(6135);n({target:"Object",stat:!0,sham:!i},{getOwnPropertyDescriptors:function(e){for(var t,r,n=o(e),i=u.f,c=a(n),f={},l=0;c.length>l;)void 0!==(r=i(n,t=c[l++]))&&s(f,t,r);return f}})},9660:(e,t,r)=>{var n=r(2109),i=r(133),a=r(7293),o=r(5181),u=r(7908);n({target:"Object",stat:!0,forced:!i||a((function(){o.f(1)}))},{getOwnPropertySymbols:function(e){var t=o.f;return t?t(u(e)):[]}})},489:(e,t,r)=>{var n=r(2109),i=r(7293),a=r(7908),o=r(9518),u=r(8544);n({target:"Object",stat:!0,forced:i((function(){o(1)})),sham:!u},{getPrototypeOf:function(e){return o(a(e))}})},7941:(e,t,r)=>{var n=r(2109),i=r(7908),a=r(1956);n({target:"Object",stat:!0,forced:r(7293)((function(){a(1)}))},{keys:function(e){return a(i(e))}})},1539:(e,t,r)=>{var n=r(1694),i=r(8052),a=r(288);n||i(Object.prototype,"toString",a,{unsafe:!0})},4678:(e,t,r)=>{var n=r(2109),i=r(2814);n({global:!0,forced:parseFloat!=i},{parseFloat:i})},1058:(e,t,r)=>{var n=r(2109),i=r(3009);n({global:!0,forced:parseInt!=i},{parseInt:i})},821:(e,t,r)=>{"use strict";var n=r(2109),i=r(6916),a=r(9662),o=r(8523),u=r(2534),s=r(408);n({target:"Promise",stat:!0,forced:r(612)},{all:function(e){var t=this,r=o.f(t),n=r.resolve,c=r.reject,f=u((function(){var r=a(t.resolve),o=[],u=0,f=1;s(e,(function(e){var a=u++,s=!1;f++,i(r,t,e).then((function(e){s||(s=!0,o[a]=e,--f||n(o))}),c)})),--f||n(o)}));return f.error&&c(f.value),r.promise}})},4164:(e,t,r)=>{"use strict";var n=r(2109),i=r(1913),a=r(3702).CONSTRUCTOR,o=r(2492),u=r(5005),s=r(614),c=r(8052),f=o&&o.prototype;if(n({target:"Promise",proto:!0,forced:a,real:!0},{catch:function(e){return this.then(void 0,e)}}),!i&&s(o)){var l=u("Promise").prototype.catch;f.catch!==l&&c(f,"catch",l,{unsafe:!0})}},3401:(e,t,r)=>{"use strict";var n,i,a,o=r(2109),u=r(1913),s=r(5268),c=r(7854),f=r(6916),l=r(8052),p=r(7674),m=r(8003),h=r(6340),d=r(9662),v=r(614),g=r(111),y=r(5787),x=r(6707),b=r(261).set,w=r(5948),N=r(842),D=r(2534),E=r(8572),A=r(9909),S=r(2492),C=r(3702),M=r(8523),F="Promise",O=C.CONSTRUCTOR,T=C.REJECTION_EVENT,B=C.SUBCLASSING,_=A.getterFor(F),k=A.set,I=S&&S.prototype,R=S,z=I,q=c.TypeError,j=c.document,P=c.process,L=M.f,U=L,$=!!(j&&j.createEvent&&c.dispatchEvent),H="unhandledrejection",G=function(e){var t;return!(!g(e)||!v(t=e.then))&&t},V=function(e,t){var r,n,i,a=t.value,o=1==t.state,u=o?e.ok:e.fail,s=e.resolve,c=e.reject,l=e.domain;try{u?(o||(2===t.rejection&&X(t),t.rejection=1),!0===u?r=a:(l&&l.enter(),r=u(a),l&&(l.exit(),i=!0)),r===e.promise?c(q("Promise-chain cycle")):(n=G(r))?f(n,r,s,c):s(r)):c(a)}catch(e){l&&!i&&l.exit(),c(e)}},Z=function(e,t){e.notified||(e.notified=!0,w((function(){for(var r,n=e.reactions;r=n.get();)V(r,e);e.notified=!1,t&&!e.rejection&&J(e)})))},W=function(e,t,r){var n,i;$?((n=j.createEvent("Event")).promise=t,n.reason=r,n.initEvent(e,!1,!0),c.dispatchEvent(n)):n={promise:t,reason:r},!T&&(i=c["on"+e])?i(n):e===H&&N("Unhandled promise rejection",r)},J=function(e){f(b,c,(function(){var t,r=e.facade,n=e.value;if(Y(e)&&(t=D((function(){s?P.emit("unhandledRejection",n,r):W(H,r,n)})),e.rejection=s||Y(e)?2:1,t.error))throw t.value}))},Y=function(e){return 1!==e.rejection&&!e.parent},X=function(e){f(b,c,(function(){var t=e.facade;s?P.emit("rejectionHandled",t):W("rejectionhandled",t,e.value)}))},Q=function(e,t,r){return function(n){e(t,n,r)}},K=function(e,t,r){e.done||(e.done=!0,r&&(e=r),e.value=t,e.state=2,Z(e,!0))},ee=function(e,t,r){if(!e.done){e.done=!0,r&&(e=r);try{if(e.facade===t)throw q("Promise can't be resolved itself");var n=G(t);n?w((function(){var r={done:!1};try{f(n,t,Q(ee,r,e),Q(K,r,e))}catch(t){K(r,t,e)}})):(e.value=t,e.state=1,Z(e,!1))}catch(t){K({done:!1},t,e)}}};if(O&&(z=(R=function(e){y(this,z),d(e),f(n,this);var t=_(this);try{e(Q(ee,t),Q(K,t))}catch(e){K(t,e)}}).prototype,(n=function(e){k(this,{type:F,done:!1,notified:!1,parent:!1,reactions:new E,rejection:!1,state:0,value:void 0})}).prototype=l(z,"then",(function(e,t){var r=_(this),n=L(x(this,R));return r.parent=!0,n.ok=!v(e)||e,n.fail=v(t)&&t,n.domain=s?P.domain:void 0,0==r.state?r.reactions.add(n):w((function(){V(n,r)})),n.promise})),i=function(){var e=new n,t=_(e);this.promise=e,this.resolve=Q(ee,t),this.reject=Q(K,t)},M.f=L=function(e){return e===R||void 0===e?new i(e):U(e)},!u&&v(S)&&I!==Object.prototype)){a=I.then,B||l(I,"then",(function(e,t){var r=this;return new R((function(e,t){f(a,r,e,t)})).then(e,t)}),{unsafe:!0});try{delete I.constructor}catch(e){}p&&p(I,z)}o({global:!0,constructor:!0,wrap:!0,forced:O},{Promise:R}),m(R,F,!1,!0),h(F)},8674:(e,t,r)=>{r(3401),r(821),r(4164),r(6027),r(683),r(6294)},6027:(e,t,r)=>{"use strict";var n=r(2109),i=r(6916),a=r(9662),o=r(8523),u=r(2534),s=r(408);n({target:"Promise",stat:!0,forced:r(612)},{race:function(e){var t=this,r=o.f(t),n=r.reject,c=u((function(){var o=a(t.resolve);s(e,(function(e){i(o,t,e).then(r.resolve,n)}))}));return c.error&&n(c.value),r.promise}})},683:(e,t,r)=>{"use strict";var n=r(2109),i=r(6916),a=r(8523);n({target:"Promise",stat:!0,forced:r(3702).CONSTRUCTOR},{reject:function(e){var t=a.f(this);return i(t.reject,void 0,e),t.promise}})},6294:(e,t,r)=>{"use strict";var n=r(2109),i=r(5005),a=r(1913),o=r(2492),u=r(3702).CONSTRUCTOR,s=r(9478),c=i("Promise"),f=a&&!u;n({target:"Promise",stat:!0,forced:a||u},{resolve:function(e){return s(f&&this===c?o:this,e)}})},2419:(e,t,r)=>{var n=r(2109),i=r(5005),a=r(2104),o=r(7065),u=r(9483),s=r(9670),c=r(111),f=r(30),l=r(7293),p=i("Reflect","construct"),m=Object.prototype,h=[].push,d=l((function(){function e(){}return!(p((function(){}),[],e)instanceof e)})),v=!l((function(){p((function(){}))})),g=d||v;n({target:"Reflect",stat:!0,forced:g,sham:g},{construct:function(e,t){u(e),s(t);var r=arguments.length<3?e:u(arguments[2]);if(v&&!d)return p(e,t,r);if(e==r){switch(t.length){case 0:return new e;case 1:return new e(t[0]);case 2:return new e(t[0],t[1]);case 3:return new e(t[0],t[1],t[2]);case 4:return new e(t[0],t[1],t[2],t[3])}var n=[null];return a(h,n,t),new(a(o,e,n))}var i=r.prototype,l=f(c(i)?i:m),g=a(e,l,t);return c(g)?g:l}})},1299:(e,t,r)=>{var n=r(2109),i=r(7854),a=r(8003);n({global:!0},{Reflect:{}}),a(i.Reflect,"Reflect",!0)},4603:(e,t,r)=>{var n=r(9781),i=r(7854),a=r(1702),o=r(4705),u=r(9587),s=r(8880),c=r(8006).f,f=r(7976),l=r(7850),p=r(1340),m=r(4706),h=r(2999),d=r(2626),v=r(8052),g=r(7293),y=r(2597),x=r(9909).enforce,b=r(6340),w=r(5112),N=r(9441),D=r(7168),E=w("match"),A=i.RegExp,S=A.prototype,C=i.SyntaxError,M=a(S.exec),F=a("".charAt),O=a("".replace),T=a("".indexOf),B=a("".slice),_=/^\?<[^\s\d!#%&*+<=>@^][^\s!#%&*+<=>@^]*>/,k=/a/g,I=/a/g,R=new A(k)!==k,z=h.MISSED_STICKY,q=h.UNSUPPORTED_Y;if(o("RegExp",n&&(!R||z||N||D||g((function(){return I[E]=!1,A(k)!=k||A(I)==I||"/a/i"!=A(k,"i")}))))){for(var j=function(e,t){var r,n,i,a,o,c,h=f(S,this),d=l(e),v=void 0===t,g=[],b=e;if(!h&&d&&v&&e.constructor===j)return e;if((d||f(S,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 k&&(n=!!t&&T(t,"s")>-1)&&(t=O(t,/s/g,"")),r=t,z&&"sticky"in k&&(i=!!t&&T(t,"y")>-1)&&q&&(t=O(t,/y/g,"")),D&&(a=function(e){for(var t,r=e.length,n=0,i="",a=[],o={},u=!1,s=!1,c=0,f="";n<=r;n++){if("\\"===(t=F(e,n)))t+=F(e,++n);else if("]"===t)u=!1;else if(!u)switch(!0){case"["===t:u=!0;break;case"("===t:M(_,B(e,n+1))&&(n+=2,s=!0),i+=t,c++;continue;case">"===t&&s:if(""===f||y(o,f))throw new C("Invalid capture group name");o[f]=!0,a[a.length]=[f,c],s=!1,f="";continue}s?f+=t:i+=t}return[i,a]}(e),e=a[0],g=a[1]),o=u(A(e,t),h?this:S,j),(n||i||g.length)&&(c=x(o),n&&(c.dotAll=!0,c.raw=j(function(e){for(var t,r=e.length,n=0,i="",a=!1;n<=r;n++)"\\"!==(t=F(e,n))?a||"."!==t?("["===t?a=!0:"]"===t&&(a=!1),i+=t):i+="[\\s\\S]":i+=t+F(e,++n);return i}(e),r)),i&&(c.sticky=!0),g.length&&(c.groups=g)),e!==b)try{s(o,"source",""===b?"(?:)":b)}catch(e){}return o},P=c(A),L=0;P.length>L;)d(j,A,P[L++]);S.constructor=j,j.prototype=S,v(i,"RegExp",j,{constructor:!0})}b("RegExp")},8450:(e,t,r)=>{var n=r(9781),i=r(9441),a=r(4326),o=r(7045),u=r(9909).get,s=RegExp.prototype,c=TypeError;n&&i&&o(s,"dotAll",{configurable:!0,get:function(){if(this!==s){if("RegExp"===a(this))return!!u(this).dotAll;throw c("Incompatible receiver, RegExp required")}}})},4916:(e,t,r)=>{"use strict";var n=r(2109),i=r(2261);n({target:"RegExp",proto:!0,forced:/./.exec!==i},{exec:i})},8386:(e,t,r)=>{var n=r(9781),i=r(2999).MISSED_STICKY,a=r(4326),o=r(7045),u=r(9909).get,s=RegExp.prototype,c=TypeError;n&&i&&o(s,"sticky",{configurable:!0,get:function(){if(this!==s){if("RegExp"===a(this))return!!u(this).sticky;throw c("Incompatible receiver, RegExp required")}}})},7601:(e,t,r)=>{"use strict";r(4916);var n,i,a=r(2109),o=r(6916),u=r(1702),s=r(614),c=r(111),f=(n=!1,(i=/[ac]/).exec=function(){return n=!0,/./.exec.apply(this,arguments)},!0===i.test("abc")&&n),l=TypeError,p=u(/./.test);a({target:"RegExp",proto:!0,forced:!f},{test:function(e){var t=this.exec;if(!s(t))return p(this,e);var r=o(t,this,e);if(null!==r&&!c(r))throw new l("RegExp exec method returned something other than an Object or null");return!!r}})},9714:(e,t,r)=>{"use strict";var n=r(6530).PROPER,i=r(8052),a=r(9670),o=r(1340),u=r(7293),s=r(4706),c="toString",f=RegExp.prototype.toString,l=u((function(){return"/a/b"!=f.call({source:"a",flags:"b"})})),p=n&&f.name!=c;(l||p)&&i(RegExp.prototype,c,(function(){var e=a(this);return"/"+o(e.source)+"/"+o(s(e))}),{unsafe:!0})},7227:(e,t,r)=>{"use strict";r(7710)("Set",(function(e){return function(){return e(this,arguments.length?arguments[0]:void 0)}}),r(5631))},189:(e,t,r)=>{r(7227)},2023:(e,t,r)=>{"use strict";var n=r(2109),i=r(1702),a=r(3929),o=r(4488),u=r(1340),s=r(4964),c=i("".indexOf);n({target:"String",proto:!0,forced:!s("includes")},{includes:function(e){return!!~c(u(o(this)),u(a(e)),arguments.length>1?arguments[1]:void 0)}})},8783:(e,t,r)=>{"use strict";var n=r(8710).charAt,i=r(1340),a=r(9909),o=r(654),u="String Iterator",s=a.set,c=a.getterFor(u);o(String,"String",(function(e){s(this,{type:u,string:i(e),index:0})}),(function(){var e,t=c(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})}))},4723:(e,t,r)=>{"use strict";var n=r(6916),i=r(7007),a=r(9670),o=r(7466),u=r(1340),s=r(4488),c=r(8173),f=r(1530),l=r(7651);i("match",(function(e,t,r){return[function(t){var r=s(this),i=null==t?void 0:c(t,e);return i?n(i,t,r):new RegExp(t)[e](u(r))},function(e){var n=a(this),i=u(e),s=r(t,n,i);if(s.done)return s.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=u(p[0]);m[h]=d,""===d&&(n.lastIndex=f(i,o(n.lastIndex),c)),h++}return 0===h?null:m}]}))},2481:(e,t,r)=>{r(2109)({target:"String",proto:!0},{repeat:r(8415)})},5306:(e,t,r)=>{"use strict";var n=r(2104),i=r(6916),a=r(1702),o=r(7007),u=r(7293),s=r(9670),c=r(614),f=r(9303),l=r(7466),p=r(1340),m=r(4488),h=r(1530),d=r(8173),v=r(647),g=r(7651),y=r(5112)("replace"),x=Math.max,b=Math.min,w=a([].concat),N=a([].push),D=a("".indexOf),E=a("".slice),A="$0"==="a".replace(/./,"$0"),S=!!/./[y]&&""===/./[y]("a","$0");o("replace",(function(e,t,r){var a=S?"$":"$0";return[function(e,r){var n=m(this),a=null==e?void 0:d(e,y);return a?i(a,e,n,r):i(t,p(n),e,r)},function(e,i){var o=s(this),u=p(e);if("string"==typeof i&&-1===D(i,a)&&-1===D(i,"$<")){var m=r(t,o,u,i);if(m.done)return m.value}var d=c(i);d||(i=p(i));var y=o.global;if(y){var A=o.unicode;o.lastIndex=0}for(var S=[];;){var C=g(o,u);if(null===C)break;if(N(S,C),!y)break;""===p(C[0])&&(o.lastIndex=h(u,l(o.lastIndex),A))}for(var M,F="",O=0,T=0;T<S.length;T++){for(var B=p((C=S[T])[0]),_=x(b(f(C.index),u.length),0),k=[],I=1;I<C.length;I++)N(k,void 0===(M=C[I])?M:String(M));var R=C.groups;if(d){var z=w([B],k,_,u);void 0!==R&&N(z,R);var q=p(n(i,void 0,z))}else q=v(B,u,_,k,R,i);_>=O&&(F+=E(u,O,_)+q,O=_+B.length)}return F+E(u,O)}]}),!!u((function(){var e=/./;return e.exec=function(){var e=[];return e.groups={a:"7"},e},"7"!=="".replace(e,"$<a>")}))||!A||S)},3123:(e,t,r)=>{"use strict";var n=r(2104),i=r(6916),a=r(1702),o=r(7007),u=r(7850),s=r(9670),c=r(4488),f=r(6707),l=r(1530),p=r(7466),m=r(1340),h=r(8173),d=r(1589),v=r(7651),g=r(2261),y=r(2999),x=r(7293),b=y.UNSUPPORTED_Y,w=4294967295,N=Math.min,D=[].push,E=a(/./.exec),A=a(D),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?w:r>>>0;if(0===o)return[];if(void 0===e)return[a];if(!u(e))return i(t,a,e,o);for(var s,f,l,p=[],h=(e.ignoreCase?"i":"")+(e.multiline?"m":"")+(e.unicode?"u":"")+(e.sticky?"y":""),v=0,y=new RegExp(e.source,h+"g");(s=i(g,y,a))&&!((f=y.lastIndex)>v&&(A(p,S(a,v,s.index)),s.length>1&&s.index<a.length&&n(D,p,d(s,1)),l=s[0].length,v=f,p.length>=o));)y.lastIndex===s.index&&y.lastIndex++;return v===a.length?!l&&E(y,"")||A(p,""):A(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=s(this),o=m(e),u=r(a,i,o,n,a!==t);if(u.done)return u.value;var c=f(i,RegExp),h=i.unicode,d=(i.ignoreCase?"i":"")+(i.multiline?"m":"")+(i.unicode?"u":"")+(b?"g":"y"),g=new c(b?"^(?:"+i.source+")":i,d),y=void 0===n?w:n>>>0;if(0===y)return[];if(0===o.length)return null===v(g,o)?[o]:[];for(var x=0,D=0,E=[];D<o.length;){g.lastIndex=b?0:D;var C,M=v(g,b?S(o,D):o);if(null===M||(C=N(p(g.lastIndex+(b?D:0)),o.length))===x)D=l(o,D,h);else{if(A(E,S(o,x,D)),E.length===y)return E;for(var F=1;F<=M.length-1;F++)if(A(E,M[F]),E.length===y)return E;D=x=C}}return A(E,S(o,x)),E}]}),!!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)},86:(e,t,r)=>{"use strict";var n=r(2109),i=r(4230);n({target:"String",proto:!0,forced:r(3429)("sub")},{sub:function(){return i(this,"sub","","")}})},3650:(e,t,r)=>{"use strict";var n=r(2109),i=r(1702),a=r(4488),o=r(9303),u=r(1340),s=i("".slice),c=Math.max,f=Math.min;n({target:"String",proto:!0,forced:!"".substr||"b"!=="ab".substr(-1)},{substr:function(e,t){var r,n,i=u(a(this)),l=i.length,p=o(e);return p===1/0&&(p=0),p<0&&(p=c(l+p,0)),(r=void 0===t?l:o(t))<=0||r===1/0||p>=(n=f(p+r,l))?"":s(i,p,n)}})},3210:(e,t,r)=>{"use strict";var n=r(2109),i=r(3111).trim;n({target:"String",proto:!0,forced:r(6091)("trim")},{trim:function(){return i(this)}})},4032:(e,t,r)=>{"use strict";var n=r(2109),i=r(7854),a=r(6916),o=r(1702),u=r(1913),s=r(9781),c=r(133),f=r(7293),l=r(2597),p=r(7976),m=r(9670),h=r(5656),d=r(4948),v=r(1340),g=r(9114),y=r(30),x=r(1956),b=r(8006),w=r(1156),N=r(5181),D=r(1236),E=r(3070),A=r(6048),S=r(5296),C=r(8052),M=r(2309),F=r(6200),O=r(3501),T=r(9711),B=r(5112),_=r(6061),k=r(7235),I=r(6532),R=r(8003),z=r(9909),q=r(2092).forEach,j=F("hidden"),P="Symbol",L=z.set,U=z.getterFor(P),$=Object.prototype,H=i.Symbol,G=H&&H.prototype,V=i.TypeError,Z=i.QObject,W=D.f,J=E.f,Y=w.f,X=S.f,Q=o([].push),K=M("symbols"),ee=M("op-symbols"),te=M("wks"),re=!Z||!Z.prototype||!Z.prototype.findChild,ne=s&&f((function(){return 7!=y(J({},"a",{get:function(){return J(this,"a",{value:7}).a}})).a}))?function(e,t,r){var n=W($,t);n&&delete $[t],J(e,t,r),n&&e!==$&&J($,t,n)}:J,ie=function(e,t){var r=K[e]=y(G);return L(r,{type:P,tag:e,description:t}),s||(r.description=t),r},ae=function(e,t,r){e===$&&ae(ee,t,r),m(e);var n=d(t);return m(r),l(K,n)?(r.enumerable?(l(e,j)&&e[j][n]&&(e[j][n]=!1),r=y(r,{enumerable:g(0,!1)})):(l(e,j)||J(e,j,g(1,{})),e[j][n]=!0),ne(e,n,r)):J(e,n,r)},oe=function(e,t){m(e);var r=h(t),n=x(r).concat(fe(r));return q(n,(function(t){s&&!a(ue,r,t)||ae(e,t,r[t])})),e},ue=function(e){var t=d(e),r=a(X,this,t);return!(this===$&&l(K,t)&&!l(ee,t))&&(!(r||!l(this,t)||!l(K,t)||l(this,j)&&this[j][t])||r)},se=function(e,t){var r=h(e),n=d(t);if(r!==$||!l(K,n)||l(ee,n)){var i=W(r,n);return!i||!l(K,n)||l(r,j)&&r[j][n]||(i.enumerable=!0),i}},ce=function(e){var t=Y(h(e)),r=[];return q(t,(function(e){l(K,e)||l(O,e)||Q(r,e)})),r},fe=function(e){var t=e===$,r=Y(t?ee:h(e)),n=[];return q(r,(function(e){!l(K,e)||t&&!l($,e)||Q(n,K[e])})),n};c||(C(G=(H=function(){if(p(G,this))throw V("Symbol is not a constructor");var e=arguments.length&&void 0!==arguments[0]?v(arguments[0]):void 0,t=T(e),r=function(e){this===$&&a(r,ee,e),l(this,j)&&l(this[j],t)&&(this[j][t]=!1),ne(this,t,g(1,e))};return s&&re&&ne($,t,{configurable:!0,set:r}),ie(t,e)}).prototype,"toString",(function(){return U(this).tag})),C(H,"withoutSetter",(function(e){return ie(T(e),e)})),S.f=ue,E.f=ae,A.f=oe,D.f=se,b.f=w.f=ce,N.f=fe,_.f=function(e){return ie(B(e),e)},s&&(J(G,"description",{configurable:!0,get:function(){return U(this).description}}),u||C($,"propertyIsEnumerable",ue,{unsafe:!0}))),n({global:!0,constructor:!0,wrap:!0,forced:!c,sham:!c},{Symbol:H}),q(x(te),(function(e){k(e)})),n({target:P,stat:!0,forced:!c},{useSetter:function(){re=!0},useSimple:function(){re=!1}}),n({target:"Object",stat:!0,forced:!c,sham:!s},{create:function(e,t){return void 0===t?y(e):oe(y(e),t)},defineProperty:ae,defineProperties:oe,getOwnPropertyDescriptor:se}),n({target:"Object",stat:!0,forced:!c},{getOwnPropertyNames:ce}),I(),R(H,P),O[j]=!0},1817:(e,t,r)=>{"use strict";var n=r(2109),i=r(9781),a=r(7854),o=r(1702),u=r(2597),s=r(614),c=r(7976),f=r(1340),l=r(3070).f,p=r(9920),m=a.Symbol,h=m&&m.prototype;if(i&&s(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 g="Symbol(test)"==String(m("test")),y=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=y(e);if(u(d,e))return"";var r=g?N(t,7,-1):w(t,b,"$1");return""===r?void 0:r}}),n({global:!0,constructor:!0,forced:!0},{Symbol:v})}},763:(e,t,r)=>{var n=r(2109),i=r(5005),a=r(2597),o=r(1340),u=r(2309),s=r(735),c=u("string-to-symbol-registry"),f=u("symbol-to-string-registry");n({target:"Symbol",stat:!0,forced:!s},{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}})},2165:(e,t,r)=>{r(7235)("iterator")},2526:(e,t,r)=>{r(4032),r(763),r(6620),r(8862),r(9660)},6620:(e,t,r)=>{var n=r(2109),i=r(2597),a=r(2190),o=r(6330),u=r(2309),s=r(735),c=u("symbol-to-string-registry");n({target:"Symbol",stat:!0,forced:!s},{keyFor:function(e){if(!a(e))throw TypeError(o(e)+" is not a symbol");if(i(c,e))return c[e]}})},4747:(e,t,r)=>{var n=r(7854),i=r(8324),a=r(8509),o=r(8533),u=r(8880),s=function(e){if(e&&e.forEach!==o)try{u(e,"forEach",o)}catch(t){e.forEach=o}};for(var c in i)i[c]&&s(n[c]&&n[c].prototype);s(a)},3948:(e,t,r)=>{var n=r(7854),i=r(8324),a=r(8509),o=r(6992),u=r(8880),s=r(5112),c=s("iterator"),f=s("toStringTag"),l=o.values,p=function(e,t){if(e){if(e[c]!==l)try{u(e,c,l)}catch(t){e[c]=l}if(e[f]||u(e,f,t),i[t])for(var r in o)if(e[r]!==o[r])try{u(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")},3753:(e,t,r)=>{"use strict";var n=r(2109),i=r(6916);n({target:"URL",proto:!0,enumerable:!0},{toJSON:function(){return i(URL.prototype.toString,this)}})},3776:function(e,t,r){var n;!function(i){"use strict";var a,o,u,s=9e15,c=1e9,f="0123456789abcdef",l="2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058",p="3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789",m={precision:20,rounding:4,modulo:1,toExpNeg:-7,toExpPos:21,minE:-s,maxE:s,crypto:!1},h=!0,d="[DecimalError] ",v=d+"Invalid argument: ",g=d+"Precision limit exceeded",y=d+"crypto unavailable",x="[object Decimal]",b=Math.floor,w=Math.pow,N=/^0b([01]+(\.[01]*)?|\.[01]+)(p[+-]?\d+)?$/i,D=/^0x([0-9a-f]+(\.[0-9a-f]*)?|\.[0-9a-f]+)(p[+-]?\d+)?$/i,E=/^0o([0-7]+(\.[0-7]*)?|\.[0-7]+)(p[+-]?\d+)?$/i,A=/^(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i,S=1e7,C=l.length-1,M=p.length-1,F={toStringTag:x};function O(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+=L(r)),a+=n;(r=7-(n=(o=e[t])+"").length)&&(a+=L(r))}else if(0===o)return"0";for(;o%10==0;)o/=10;return a+o}function T(e,t,r){if(e!==~~e||e<t||e>r)throw Error(v+e)}function B(e,t,r,n){var i,a,o,u;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=w(10,7-t),u=e[i]%a|0,null==n?t<3?(0==t?u=u/100|0:1==t&&(u=u/10|0),o=r<4&&99999==u||r>3&&49999==u||5e4==u||0==u):o=(r<4&&u+1==a||r>3&&u+1==a/2)&&(e[i+1]/a/100|0)==w(10,t-2)-1||(u==a/2||0==u)&&0==(e[i+1]/a/100|0):t<4?(0==t?u=u/1e3|0:1==t?u=u/100|0:2==t&&(u=u/10|0),o=(n||r<4)&&9999==u||!n&&r>3&&4999==u):o=((n||r<4)&&u+1==a||!n&&r>3&&u+1==a/2)&&(e[i+1]/a/1e3|0)==w(10,t-3)-1,o}function _(e,t,r){for(var n,i,a=[0],o=0,u=e.length;o<u;){for(i=a.length;i--;)a[i]*=t;for(a[0]+=f.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()}F.absoluteValue=F.abs=function(){var e=new this.constructor(this);return e.s<0&&(e.s=1),I(e)},F.ceil=function(){return I(new this.constructor(this),this.e+1,2)},F.clampedTo=F.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(v+t);return r.cmp(e)<0?e:r.cmp(t)>0?t:new n(r)},F.comparedTo=F.cmp=function(e){var t,r,n,i,a=this,o=a.d,u=(e=new a.constructor(e)).d,s=a.s,c=e.s;if(!o||!u)return s&&c?s!==c?s:o===u?0:!o^s<0?1:-1:NaN;if(!o[0]||!u[0])return o[0]?s:u[0]?-c:0;if(s!==c)return s;if(a.e!==e.e)return a.e>e.e^s<0?1:-1;for(t=0,r=(n=o.length)<(i=u.length)?n:i;t<r;++t)if(o[t]!==u[t])return o[t]>u[t]^s<0?1:-1;return n===i?0:n>i^s<0?1:-1},F.cosine=F.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?i=(1/X(4,r=Math.ceil(n/3))).toString():(r=16,i="2.3283064365386962890625e-10"),e.precision+=r,t=Y(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,Q(n,r)),n.precision=e,n.rounding=t,I(2==u||3==u?r.neg():r,e,t,!0)):new n(1):new n(NaN)},F.cubeRoot=F.cbrt=function(){var e,t,r,n,i,a,o,u,s,c,f=this,l=f.constructor;if(!f.isFinite()||f.isZero())return new l(f);for(h=!1,(a=f.s*w(f.s*f,1/3))&&Math.abs(a)!=1/0?n=new l(a.toString()):(r=O(f.d),(a=((e=f.e)-r.length+1)%3)&&(r+=1==a||-2==a?"0":"00"),a=w(r,1/3),e=b((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=(s=(u=n).times(u).times(u)).plus(f),n=k(c.plus(f).times(u),c.plus(s),o+2,1),O(u.d).slice(0,o)===(r=O(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(u,e+1,0),u.times(u).times(u).eq(f))){n=u;break}o+=4,i=1}return h=!0,I(n,e,l.rounding,t)},F.decimalPlaces=F.dp=function(){var e,t=this.d,r=NaN;if(t){if(r=7*((e=t.length-1)-b(this.e/7)),e=t[e])for(;e%10==0;e/=10)r--;r<0&&(r=0)}return r},F.dividedBy=F.div=function(e){return k(this,new this.constructor(e))},F.dividedToIntegerBy=F.divToInt=function(e){var t=this.constructor;return I(k(this,new t(e),0,1,1),t.precision,t.rounding)},F.equals=F.eq=function(e){return 0===this.cmp(e)},F.floor=function(){return I(new this.constructor(this),this.e+1,3)},F.greaterThan=F.gt=function(e){return this.cmp(e)>0},F.greaterThanOrEqualTo=F.gte=function(e){var t=this.cmp(e);return 1==t||0===t},F.hyperbolicCosine=F.cosh=function(){var e,t,r,n,i,a=this,o=a.constructor,u=new o(1);if(!a.isFinite())return new o(a.s?1/0:NaN);if(a.isZero())return u;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/X(4,e=Math.ceil(i/3))).toString():(e=16,t="2.3283064365386962890625e-10"),a=Y(o,1,a.times(t),new o(1),!0);for(var s,c=e,f=new o(8);c--;)s=a.times(a),a=u.minus(s.times(f.minus(s.times(f))));return I(a,o.precision=r,o.rounding=n,!0)},F.hyperbolicSine=F.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=Y(a,2,i,i,!0);else{e=(e=1.4*Math.sqrt(n))>16?16:0|e,i=Y(a,2,i=i.times(1/X(5,e)),i,!0);for(var o,u=new a(5),s=new a(16),c=new a(20);e--;)o=i.times(i),i=i.times(u.plus(o.times(s.times(o).plus(c))))}return a.precision=t,a.rounding=r,I(i,t,r,!0)},F.hyperbolicTangent=F.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,k(r.sinh(),r.cosh(),n.precision=e,n.rounding=t)):new n(r.s)},F.inverseCosine=F.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()?j(r,i,a):new r(0):new r(NaN):t.isZero()?j(r,i+4,a).times(.5):(r.precision=i+6,r.rounding=1,t=t.asin(),e=j(r,i+4,a).times(.5),r.precision=i,r.rounding=a,e.minus(t))},F.inverseHyperbolicCosine=F.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,h=!1,r=r.times(r).minus(1).sqrt().plus(r),h=!0,n.precision=e,n.rounding=t,r.ln()):new n(r)},F.inverseHyperbolicSine=F.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,h=!1,r=r.times(r).plus(1).sqrt().plus(r),h=!0,n.precision=e,n.rounding=t,r.ln())},F.inverseHyperbolicTangent=F.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=k(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)},F.inverseSine=F.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=j(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)))},F.inverseTangent=F.atan=function(){var e,t,r,n,i,a,o,u,s,c=this,f=c.constructor,l=f.precision,p=f.rounding;if(c.isFinite()){if(c.isZero())return new f(c);if(c.abs().eq(1)&&l+4<=M)return(o=j(f,l+4,p).times(.25)).s=c.s,o}else{if(!c.s)return new f(NaN);if(l+4<=M)return(o=j(f,l+4,p).times(.5)).s=c.s,o}for(f.precision=u=l+10,f.rounding=1,e=r=Math.min(28,u/7+2|0);e;--e)c=c.div(c.times(c).plus(1).sqrt().plus(1));for(h=!1,t=Math.ceil(u/7),n=1,s=c.times(c),o=new f(c),i=c;-1!==e;)if(i=i.times(s),a=o.minus(i.div(n+=2)),i=i.times(s),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)),h=!0,I(o,f.precision=l,f.rounding=p,!0)},F.isFinite=function(){return!!this.d},F.isInteger=F.isInt=function(){return!!this.d&&b(this.e/7)>this.d.length-2},F.isNaN=function(){return!this.s},F.isNegative=F.isNeg=function(){return this.s<0},F.isPositive=F.isPos=function(){return this.s>0},F.isZero=function(){return!!this.d&&0===this.d[0]},F.lessThan=F.lt=function(e){return this.cmp(e)<0},F.lessThanOrEqualTo=F.lte=function(e){return this.cmp(e)<1},F.logarithm=F.log=function(e){var t,r,n,i,a,o,u,s,c=this,f=c.constructor,l=f.precision,p=f.rounding;if(null==e)e=new f(10),t=!0;else{if(r=(e=new f(e)).d,e.s<0||!r||!r[0]||e.eq(1))return new f(NaN);t=e.eq(10)}if(r=c.d,c.s<0||!r||!r[0]||c.eq(1))return new f(r&&!r[0]?-1/0:1!=c.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(h=!1,o=V(c,u=l+5),n=t?q(f,u+10):V(e,u),B((s=k(o,n,u,1)).d,i=l,p))do{if(o=V(c,u+=10),n=t?q(f,u+10):V(e,u),s=k(o,n,u,1),!a){+O(s.d).slice(i+1,i+15)+1==1e14&&(s=I(s,l+1,0));break}}while(B(s.d,i+=10,p));return h=!0,I(s,l,p)},F.minus=F.sub=function(e){var t,r,n,i,a,o,u,s,c,f,l,p,m=this,d=m.constructor;if(e=new d(e),!m.d||!e.d)return m.s&&e.s?m.d?e.s=-e.s:e=new d(e.d||m.s!==e.s?m:NaN):e=new d(NaN),e;if(m.s!=e.s)return e.s=-e.s,m.plus(e);if(c=m.d,p=e.d,u=d.precision,s=d.rounding,!c[0]||!p[0]){if(p[0])e.s=-e.s;else{if(!c[0])return new d(3===s?-0:0);e=new d(m)}return h?I(e,u,s):e}if(r=b(e.e/7),f=b(m.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(u/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]=S-1;--c[i],c[n]+=S}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),h?I(e,u,s):e):new d(3===s?-0:0)},F.modulo=F.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):(h=!1,9==n.modulo?(t=k(r,e.abs(),0,3,1)).s*=e.s:t=k(r,e,0,n.modulo,1),t=t.times(e),h=!0,r.minus(t))},F.naturalExponential=F.exp=function(){return G(this)},F.naturalLogarithm=F.ln=function(){return V(this)},F.negated=F.neg=function(){var e=new this.constructor(this);return e.s=-e.s,I(e)},F.plus=F.add=function(e){var t,r,n,i,a,o,u,s,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,u=p.precision,s=p.rounding,!c[0]||!f[0])return f[0]||(e=new p(l)),h?I(e,u,s):e;if(a=b(l.e/7),n=b(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(u/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)/S|0,c[i]%=S;for(t&&(c.unshift(t),++n),o=c.length;0==c[--o];)c.pop();return e.d=c,e.e=z(c,n),h?I(e,u,s):e},F.precision=F.sd=function(e){var t,r=this;if(void 0!==e&&e!==!!e&&1!==e&&0!==e)throw Error(v+e);return r.d?(t=P(r.d),e&&r.e+1>t&&(t=r.e+1)):t=NaN,t},F.round=function(){var e=this,t=e.constructor;return I(new t(e),e.e+1,t.rounding)},F.sine=F.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:Y(e,2,t,t);r=(r=1.4*Math.sqrt(n))>16?16:0|r,t=Y(e,2,t=t.times(1/X(5,r)),t);for(var i,a=new e(5),o=new e(16),u=new e(20);r--;)i=t.times(t),t=t.times(a.plus(i.times(o.times(i).minus(u))));return t}(n,Q(n,r)),n.precision=e,n.rounding=t,I(u>2?r.neg():r,e,t,!0)):new n(NaN)},F.squareRoot=F.sqrt=function(){var e,t,r,n,i,a,o=this,u=o.d,s=o.e,c=o.s,f=o.constructor;if(1!==c||!u||!u[0])return new f(!c||c<0&&(!u||u[0])?NaN:u?o:1/0);for(h=!1,0==(c=Math.sqrt(+o))||c==1/0?(((t=O(u)).length+s)%2==0&&(t+="0"),c=Math.sqrt(t),s=b((s+1)/2)-(s<0||s%2),n=new f(t=c==1/0?"5e"+s:(t=c.toExponential()).slice(0,t.indexOf("e")+1)+s)):n=new f(c.toString()),r=(s=f.precision)+3;;)if(n=(a=n).plus(k(o,a,r+2,1)).times(.5),O(a.d).slice(0,r)===(t=O(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,s+1,1),e=!n.times(n).eq(o));break}if(!i&&(I(a,s+1,0),a.times(a).eq(o))){n=a;break}r+=4,i=1}return h=!0,I(n,s,f.rounding,e)},F.tangent=F.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=k(r,new n(1).minus(r.times(r)).sqrt(),e+10,0),n.precision=e,n.rounding=t,I(2==u||4==u?r.neg():r,e,t,!0)):new n(NaN)},F.times=F.mul=function(e){var t,r,n,i,a,o,u,s,c,f=this,l=f.constructor,p=f.d,m=(e=new l(e)).d;if(e.s*=f.s,!(p&&p[0]&&m&&m[0]))return new l(!e.s||p&&!p[0]&&!m||m&&!m[0]&&!p?NaN:p&&m?0*e.s:e.s/0);for(r=b(f.e/7)+b(e.e/7),(s=p.length)<(c=m.length)&&(a=p,p=m,m=a,o=s,s=c,c=o),a=[],n=o=s+c;n--;)a.push(0);for(n=c;--n>=0;){for(t=0,i=s+n;i>n;)u=a[i]+m[n]*p[i-n-1]+t,a[i--]=u%S|0,t=u/S|0;a[i]=(a[i]+t)%S|0}for(;!a[--o];)a.pop();return t?++r:a.shift(),e.d=a,e.e=z(a,r),h?I(e,l.precision,l.rounding):e},F.toBinary=function(e,t){return K(this,2,e,t)},F.toDecimalPlaces=F.toDP=function(e,t){var r=this,n=r.constructor;return r=new n(r),void 0===e?r:(T(e,0,c),void 0===t?t=n.rounding:T(t,0,8),I(r,e+r.e+1,t))},F.toExponential=function(e,t){var r,n=this,i=n.constructor;return void 0===e?r=R(n,!0):(T(e,0,c),void 0===t?t=i.rounding:T(t,0,8),r=R(n=I(new i(n),e+1,t),!0,e+1)),n.isNeg()&&!n.isZero()?"-"+r:r},F.toFixed=function(e,t){var r,n,i=this,a=i.constructor;return void 0===e?r=R(i):(T(e,0,c),void 0===t?t=a.rounding:T(t,0,8),r=R(n=I(new a(i),e+i.e+1,t),!1,e+n.e+1)),i.isNeg()&&!i.isZero()?"-"+r:r},F.toFraction=function(e){var t,r,n,i,a,o,u,s,c,f,l,p,m=this,d=m.d,g=m.constructor;if(!d)return new g(m);if(c=r=new g(1),n=s=new g(0),o=(a=(t=new g(n)).e=P(d)-m.e-1)%7,t.d[0]=w(10,o<0?7+o:o),null==e)e=a>0?t:c;else{if(!(u=new g(e)).isInt()||u.lt(c))throw Error(v+u);e=u.gt(t)?a>0?t:c:u}for(h=!1,u=new g(O(d)),f=g.precision,g.precision=a=7*d.length*2;l=k(u,t,0,1,1),1!=(i=r.plus(l.times(n))).cmp(e);)r=n,n=i,i=c,c=s.plus(l.times(i)),s=i,i=t,t=u.minus(l.times(i)),u=i;return i=k(e.minus(r),n,0,1,1),s=s.plus(i.times(c)),r=r.plus(i.times(n)),s.s=c.s=m.s,p=k(c,n,a,1).minus(m).abs().cmp(k(s,r,a,1).minus(m).abs())<1?[c,n]:[s,r],g.precision=f,h=!0,p},F.toHexadecimal=F.toHex=function(e,t){return K(this,16,e,t)},F.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:T(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]?(h=!1,r=k(r,e,0,t,1).times(e),h=!0,I(r)):(e.s=r.s,r=e),r},F.toNumber=function(){return+this},F.toOctal=function(e,t){return K(this,8,e,t)},F.toPower=F.pow=function(e){var t,r,n,i,a,o,u=this,s=u.constructor,c=+(e=new s(e));if(!(u.d&&e.d&&u.d[0]&&e.d[0]))return new s(w(+u,c));if((u=new s(u)).eq(1))return u;if(n=s.precision,a=s.rounding,e.eq(1))return I(u,n,a);if((t=b(e.e/7))>=e.d.length-1&&(r=c<0?-c:c)<=9007199254740991)return i=U(s,u,r,n),e.s<0?new s(1).div(i):I(i,n,a);if((o=u.s)<0){if(t<e.d.length-1)return new s(NaN);if(0==(1&e.d[t])&&(o=1),0==u.e&&1==u.d[0]&&1==u.d.length)return u.s=o,u}return(t=0!=(r=w(+u,c))&&isFinite(r)?new s(r+"").e:b(c*(Math.log("0."+O(u.d))/Math.LN10+u.e+1)))>s.maxE+1||t<s.minE-1?new s(t>0?o/0:0):(h=!1,s.rounding=u.s=1,r=Math.min(12,(t+"").length),(i=G(e.times(V(u,n+r)),n)).d&&B((i=I(i,n+5,1)).d,n,a)&&(t=n+10,+O((i=I(G(e.times(V(u,t+r)),t),t+5,1)).d).slice(n+1,n+15)+1==1e14&&(i=I(i,n+1,0))),i.s=o,h=!0,s.rounding=a,I(i,n,a))},F.toPrecision=function(e,t){var r,n=this,i=n.constructor;return void 0===e?r=R(n,n.e<=i.toExpNeg||n.e>=i.toExpPos):(T(e,1,c),void 0===t?t=i.rounding:T(t,0,8),r=R(n=I(new i(n),e,t),e<=n.e||n.e<=i.toExpNeg,e)),n.isNeg()&&!n.isZero()?"-"+r:r},F.toSignificantDigits=F.toSD=function(e,t){var r=this.constructor;return void 0===e?(e=r.precision,t=r.rounding):(T(e,1,c),void 0===t?t=r.rounding:T(t,0,8)),I(new r(this),e,t)},F.toString=function(){var e=this,t=e.constructor,r=R(e,e.e<=t.toExpNeg||e.e>=t.toExpPos);return e.isNeg()&&!e.isZero()?"-"+r:r},F.truncated=F.trunc=function(){return I(new this.constructor(this),this.e+1,1)},F.valueOf=F.toJSON=function(){var e=this,t=e.constructor,r=R(e,e.e<=t.toExpNeg||e.e>=t.toExpPos);return e.isNeg()?"-"+r:r};var k=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,u,s,c){var f,l,p,m,h,d,v,g,y,x,w,N,D,E,A,C,M,F,O,T,B=n.constructor,_=n.s==i.s?1:-1,k=n.d,R=i.d;if(!(k&&k[0]&&R&&R[0]))return new B(n.s&&i.s&&(k?!R||k[0]!=R[0]:R)?k&&0==k[0]||!R?0*_:_/0:NaN);for(c?(h=1,l=n.e-i.e):(c=S,h=7,l=b(n.e/h)-b(i.e/h)),O=R.length,M=k.length,x=(y=new B(_)).d=[],p=0;R[p]==(k[p]||0);p++);if(R[p]>(k[p]||0)&&l--,null==a?(E=a=B.precision,u=B.rounding):E=s?a+(n.e-i.e)+1:a,E<0)x.push(1),d=!0;else{if(E=E/h+2|0,p=0,1==O){for(m=0,R=R[0],E++;(p<M||m)&&E--;p++)A=m*c+(k[p]||0),x[p]=A/R|0,m=A%R|0;d=m||p<M}else{for((m=c/(R[0]+1)|0)>1&&(R=e(R,m,c),k=e(k,m,c),O=R.length,M=k.length),C=O,N=(w=k.slice(0,O)).length;N<O;)w[N++]=0;(T=R.slice()).unshift(0),F=R[0],R[1]>=c/2&&++F;do{m=0,(f=t(R,w,O,N))<0?(D=w[0],O!=N&&(D=D*c+(w[1]||0)),(m=D/F|0)>1?(m>=c&&(m=c-1),1==(f=t(v=e(R,m,c),w,g=v.length,N=w.length))&&(m--,r(v,O<g?T:R,g,c))):(0==m&&(f=m=1),v=R.slice()),(g=v.length)<N&&v.unshift(0),r(w,v,N,c),-1==f&&(f=t(R,w,O,N=w.length))<1&&(m++,r(w,O<N?T:R,N,c)),N=w.length):0===f&&(m++,w=[0]),x[p++]=m,f&&w[0]?w[N++]=k[C]||0:(w=[k[C]],N=1)}while((C++<M||void 0!==w[0])&&E--);d=void 0!==w[0]}x[0]||x.shift()}if(1==h)y.e=l,o=d;else{for(p=1,m=x[0];m>=10;m/=10)p++;y.e=p+l*h-1,I(y,s?a+y.e+1:a,u,d)}return y}}();function I(e,t,r,n){var i,a,o,u,s,c,f,l,p,m=e.constructor;e:if(null!=t){if(!(l=e.d))return e;for(i=1,u=l[0];u>=10;u/=10)i++;if((a=t-i)<0)a+=7,o=t,s=(f=l[p=0])/w(10,i-o-1)%10|0;else if((p=Math.ceil((a+1)/7))>=(u=l.length)){if(!n)break e;for(;u++<=p;)l.push(0);f=s=0,i=1,o=(a%=7)-7+1}else{for(f=u=l[p],i=1;u>=10;u/=10)i++;s=(o=(a%=7)-7+i)<0?0:f/w(10,i-o-1)%10|0}if(n=n||t<0||void 0!==l[p+1]||(o<0?f:f%w(10,i-o-1)),c=r<4?(s||n)&&(0==r||r==(e.s<0?3:2)):s>5||5==s&&(4==r||n||6==r&&(a>0?o>0?f/w(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]=w(10,(7-t%7)%7),e.e=-t||0):l[0]=e.e=0,e;if(0==a?(l.length=p,u=1,p--):(l.length=p+1,u=w(10,7-a),l[p]=o>0?(f/w(10,i-o)%w(10,o)|0)*u:0),c)for(;;){if(0==p){for(a=1,o=l[0];o>=10;o/=10)a++;for(o=l[0]+=u,u=1;o>=10;o/=10)u++;a!=u&&(e.e++,l[0]==S&&(l[0]=1));break}if(l[p]+=u,l[p]!=S)break;l[p--]=0,u=1}for(a=l.length;0===l[--a];)l.pop()}return h&&(e.e>m.maxE?(e.d=null,e.e=NaN):e.e<m.minE&&(e.e=0,e.d=[0])),e}function R(e,t,r){if(!e.isFinite())return Z(e);var n,i=e.e,a=O(e.d),o=a.length;return t?(r&&(n=r-o)>0?a=a.charAt(0)+"."+a.slice(1)+L(n):o>1&&(a=a.charAt(0)+"."+a.slice(1)),a=a+(e.e<0?"e":"e+")+e.e):i<0?(a="0."+L(-i-1)+a,r&&(n=r-o)>0&&(a+=L(n))):i>=o?(a+=L(i+1-o),r&&(n=r-i-1)>0&&(a=a+"."+L(n))):((n=i+1)<o&&(a=a.slice(0,n)+"."+a.slice(n)),r&&(n=r-o)>0&&(i+1===o&&(a+="."),a+=L(n))),a}function z(e,t){var r=e[0];for(t*=7;r>=10;r/=10)t++;return t}function q(e,t,r){if(t>C)throw h=!0,r&&(e.precision=r),Error(g);return I(new e(l),t,1,!0)}function j(e,t,r){if(t>M)throw Error(g);return I(new e(p),t,r,!0)}function P(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 L(e){for(var t="";e--;)t+="0";return t}function U(e,t,r,n){var i,a=new e(1),o=Math.ceil(n/7+4);for(h=!1;;){if(r%2&&ee((a=a.times(t)).d,o)&&(i=!0),0===(r=b(r/2))){r=a.d.length-1,i&&0===a.d[r]&&++a.d[r];break}ee((t=t.times(t)).d,o)}return h=!0,a}function $(e){return 1&e.d[e.d.length-1]}function H(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 G(e,t){var r,n,i,a,o,u,s,c=0,f=0,l=0,p=e.constructor,m=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?(h=!1,s=d):s=t,u=new p(.03125);e.e>-2;)e=e.times(u),l+=5;for(s+=n=Math.log(w(2,l))/Math.LN10*2+5|0,r=a=o=new p(1),p.precision=s;;){if(a=I(a.times(e),s,1),r=r.times(++f),O((u=o.plus(k(a,r,s,1))).d).slice(0,s)===O(o.d).slice(0,s)){for(i=l;i--;)o=I(o.times(o),s,1);if(null!=t)return p.precision=d,o;if(!(c<3&&B(o.d,s-n,m,c)))return I(o,p.precision=d,m,h=!0);p.precision=s+=10,r=a=u=new p(1),f=0,c++}o=u}}function V(e,t){var r,n,i,a,o,u,s,c,f,l,p,m=1,d=e,v=d.d,g=d.constructor,y=g.rounding,x=g.precision;if(d.s<0||!v||!v[0]||!d.e&&1==v[0]&&1==v.length)return new g(v&&!v[0]?-1/0:1!=d.s?NaN:v?0:d);if(null==t?(h=!1,f=x):f=t,g.precision=f+=10,n=(r=O(v)).charAt(0),!(Math.abs(a=d.e)<15e14))return c=q(g,f+2,x).times(a+""),d=V(new g(n+"."+r.slice(1)),f-10).plus(c),g.precision=x,null==t?I(d,x,y,h=!0):d;for(;n<7&&1!=n||1==n&&r.charAt(1)>3;)n=(r=O((d=d.times(e)).d)).charAt(0),m++;for(a=d.e,n>1?(d=new g("0."+r),a++):d=new g(n+"."+r.slice(1)),l=d,s=o=d=k(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),O((c=s.plus(k(o,new g(i),f,1))).d).slice(0,f)===O(s.d).slice(0,f)){if(s=s.times(2),0!==a&&(s=s.plus(q(g,f+2,x).times(a+""))),s=k(s,new g(m),f,1),null!=t)return g.precision=x,s;if(!B(s.d,f-10,y,u))return I(s,g.precision=x,y,h=!0);g.precision=f+=10,c=o=d=k(l.minus(1),l.plus(1),f,1),p=I(d.times(d),f,1),i=u=1}s=c,i+=2}}function Z(e){return String(e.s*e.s/0)}function W(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),h&&(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 J(e,t){var r,n,i,o,u,s,c,f,l;if(t.indexOf("_")>-1){if(t=t.replace(/(\d)_(?=\d)/g,"$1"),A.test(t))return W(e,t)}else if("Infinity"===t||"NaN"===t)return+t||(e.s=NaN),e.e=NaN,e.d=null,e;if(D.test(t))r=16,t=t.toLowerCase();else if(N.test(t))r=2;else{if(!E.test(t))throw Error(v+t);r=8}for((o=t.search(/p/i))>0?(c=+t.slice(o+1),t=t.substring(2,o)):t=t.slice(2),u=(o=t.indexOf("."))>=0,n=e.constructor,u&&(o=(s=(t=t.replace(".","")).length)-o,i=U(n,new n(r),o,2*o)),o=l=(f=_(t,r,S)).length-1;0===f[o];--o)f.pop();return o<0?new n(0*e.s):(e.e=z(f,l),e.d=f,h=!1,u&&(e=k(e,i,4*s)),c&&(e=e.times(Math.abs(c)<54?w(2,c):a.pow(2,c))),h=!0,e)}function Y(e,t,r,n,i){var a,o,u,s,c=e.precision,f=Math.ceil(c/7);for(h=!1,s=r.times(r),u=new e(n);;){if(o=k(u.times(s),new e(t++*t++),c,1),u=i?n.plus(o):n.minus(o),n=k(o.times(s),new e(t++*t++),c,1),void 0!==(o=u.plus(n)).d[f]){for(a=f;o.d[a]===u.d[a]&&a--;);if(-1==a)break}a=u,u=n,n=o,o=a}return h=!0,o.d.length=f+1,o}function X(e,t){for(var r=e;--t;)r*=e;return r}function Q(e,t){var r,n=t.s<0,i=j(e,e.precision,1),a=i.times(.5);if((t=t.abs()).lte(a))return u=n?4:1,t;if((r=t.divToInt(i)).isZero())u=n?3:2;else{if((t=t.minus(r.times(i))).lte(a))return u=$(r)?n?2:3:n?4:1,t;u=$(r)?n?1:4:n?3:2}return t.minus(i).abs()}function K(e,t,r,n){var i,a,u,s,l,p,m,h,d,v=e.constructor,g=void 0!==r;if(g?(T(r,1,c),void 0===n?n=v.rounding:T(n,0,8)):(r=v.precision,n=v.rounding),e.isFinite()){for(g?(i=2,16==t?r=4*r-3:8==t&&(r=3*r-2)):i=t,(u=(m=R(e)).indexOf("."))>=0&&(m=m.replace(".",""),(d=new v(1)).e=m.length-u,d.d=_(R(d),10,i),d.e=d.d.length),a=l=(h=_(m,10,i)).length;0==h[--l];)h.pop();if(h[0]){if(u<0?a--:((e=new v(e)).d=h,e.e=a,h=(e=k(e,d,r,n,0,i)).d,a=e.e,p=o),u=h[r],s=i/2,p=p||void 0!==h[r+1],p=n<4?(void 0!==u||p)&&(0===n||n===(e.s<0?3:2)):u>s||u===s&&(4===n||p||6===n&&1&h[r-1]||n===(e.s<0?8:7)),h.length=r,p)for(;++h[--r]>i-1;)h[r]=0,r||(++a,h.unshift(1));for(l=h.length;!h[l-1];--l);for(u=0,m="";u<l;u++)m+=f.charAt(h[u]);if(g){if(l>1)if(16==t||8==t){for(u=16==t?4:3,--l;l%u;l++)m+="0";for(l=(h=_(m,i,t)).length;!h[l-1];--l);for(u=1,m="1.";u<l;u++)m+=f.charAt(h[u])}else m=m.charAt(0)+"."+m.slice(1);m=m+(a<0?"p":"p+")+a}else if(a<0){for(;++a;)m="0"+m;m="0."+m}else if(++a>l)for(a-=l;a--;)m+="0";else a<l&&(m=m.slice(0,a)+"."+m.slice(a))}else m=g?"0p+0":"0";m=(16==t?"0x":2==t?"0b":8==t?"0o":"")+m}else m=Z(e);return e.s<0?"-"+m:m}function ee(e,t){if(e.length>t)return e.length=t,!0}function te(e){return new this(e).abs()}function re(e){return new this(e).acos()}function ne(e){return new this(e).acosh()}function ie(e,t){return new this(e).plus(t)}function ae(e){return new this(e).asin()}function oe(e){return new this(e).asinh()}function ue(e){return new this(e).atan()}function se(e){return new this(e).atanh()}function ce(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?j(this,n,i):new this(0)).s=e.s:!e.d||t.isZero()?(r=j(this,a,1).times(.5)).s=e.s:t.s<0?(this.precision=a,this.rounding=1,r=this.atan(k(e,t,a,1)),t=j(this,a,1),this.precision=n,this.rounding=i,r=e.s<0?r.minus(t):r.plus(t)):r=this.atan(k(e,t,a,1)):(r=j(this,a,1).times(t.s>0?.25:.75)).s=e.s:r=new this(NaN),r}function fe(e){return new this(e).cbrt()}function le(e){return I(e=new this(e),e.e+1,2)}function pe(e,t,r){return new this(e).clamp(t,r)}function me(e){if(!e||"object"!=typeof e)throw Error(d+"Object expected");var t,r,n,i=!0===e.defaults,a=["precision",1,c,"rounding",0,8,"toExpNeg",-s,0,"toExpPos",0,s,"maxE",0,s,"minE",-s,0,"modulo",0,9];for(t=0;t<a.length;t+=3)if(r=a[t],i&&(this[r]=m[r]),void 0!==(n=e[r])){if(!(b(n)===n&&n>=a[t+1]&&n<=a[t+2]))throw Error(v+r+": "+n);this[r]=n}if(r="crypto",i&&(this[r]=m[r]),void 0!==(n=e[r])){if(!0!==n&&!1!==n&&0!==n&&1!==n)throw Error(v+r+": "+n);if(n){if("undefined"==typeof crypto||!crypto||!crypto.getRandomValues&&!crypto.randomBytes)throw Error(y);this[r]=!0}else this[r]=!1}return this}function he(e){return new this(e).cos()}function de(e){return new this(e).cosh()}function ve(e,t){return new this(e).div(t)}function ge(e){return new this(e).exp()}function ye(e){return I(e=new this(e),e.e+1,3)}function xe(){var e,t,r=new this(0);for(h=!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 h=!0,new this(1/0);r=t}return h=!0,r.sqrt()}function be(e){return e instanceof a||e&&e.toStringTag===x||!1}function we(e){return new this(e).ln()}function Ne(e,t){return new this(e).log(t)}function De(e){return new this(e).log(2)}function Ee(e){return new this(e).log(10)}function Ae(){return H(this,arguments,"lt")}function Se(){return H(this,arguments,"gt")}function Ce(e,t){return new this(e).mod(t)}function Me(e,t){return new this(e).mul(t)}function Fe(e,t){return new this(e).pow(t)}function Oe(e){var t,r,n,i,a=0,o=new this(1),u=[];if(void 0===e?e=this.precision:T(e,1,c),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]:u[a++]=i%1e7;else{if(!crypto.randomBytes)throw Error(y);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):(u.push(i%1e7),a+=4);a=n/4}else for(;a<n;)u[a++]=1e7*Math.random()|0;for(e%=7,(n=u[--a])&&e&&(i=w(10,7-e),u[a]=(n/i|0)*i);0===u[a];a--)u.pop();if(a<0)r=0,u=[0];else{for(r=-1;0===u[0];r-=7)u.shift();for(n=1,i=u[0];i>=10;i/=10)n++;n<7&&(r-=7-n)}return o.e=r,o.d=u,o}function Te(e){return I(e=new this(e),e.e+1,this.rounding)}function Be(e){return(e=new this(e)).d?e.d[0]?e.s:0*e.s:e.s||NaN}function _e(e){return new this(e).sin()}function ke(e){return new this(e).sinh()}function Ie(e){return new this(e).sqrt()}function Re(e,t){return new this(e).sub(t)}function ze(){var e=0,t=arguments,r=new this(t[e]);for(h=!1;r.s&&++e<t.length;)r=r.plus(t[e]);return h=!0,I(r,this.precision,this.rounding)}function qe(e){return new this(e).tan()}function je(e){return new this(e).tanh()}function Pe(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,be(e))return i.s=e.s,void(h?!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(h?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)):W(i,e.toString())}if("string"!==n)throw Error(v+e);return 45===(r=e.charCodeAt(0))?(e=e.slice(1),i.s=-1):(43===r&&(e=e.slice(1)),i.s=1),A.test(e)?W(i,e):J(i,e)}if(a.prototype=F,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=me,a.clone=e,a.isDecimal=be,a.abs=te,a.acos=re,a.acosh=ne,a.add=ie,a.asin=ae,a.asinh=oe,a.atan=ue,a.atanh=se,a.atan2=ce,a.cbrt=fe,a.ceil=le,a.clamp=pe,a.cos=he,a.cosh=de,a.div=ve,a.exp=ge,a.floor=ye,a.hypot=xe,a.ln=we,a.log=Ne,a.log10=Ee,a.log2=De,a.max=Ae,a.min=Se,a.mod=Ce,a.mul=Me,a.pow=Fe,a.random=Oe,a.round=Te,a.sign=Be,a.sin=_e,a.sinh=ke,a.sqrt=Ie,a.sub=Re,a.sum=ze,a.tan=qe,a.tanh=je,a.trunc=Pe,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}(m)).prototype.constructor=a,a.default=a.Decimal=a,l=new a(l),p=new a(p),void 0===(n=function(){return a}.call(t,r,t,e))||(e.exports=n)}()},7928:e=>{"use strict";var t=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},r={"{":"\\{","}":"\\}","\\":"\\textbackslash{}","#":"\\#",$:"\\$","%":"\\%","&":"\\&","^":"\\textasciicircum{}",_:"\\_","~":"\\textasciitilde{}"},n={"–":"\\--","—":"\\---"," ":"~","\t":"\\qquad{}","\r\n":"\\newline{}","\n":"\\newline{}"},i=function(e,r){return t({},e,r)};e.exports=function(e){for(var a=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{},o=a.preserveFormatting,u=void 0!==o&&o,s=a.escapeMapFn,c=void 0===s?i:s,f=String(e),l="",p=c(t({},r),u?t({},n):{}),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}},5628:function(e,t){var r;!function(n){"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 u(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 s=function(e,t){var r,n=0,o=1,u=1,s=0,c=0,l=0,p=1,m=1,h=0,d=1,v=1,g=1,y=1e7;if(null==e);else if(void 0!==t){if(u=(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])}u=n*o;break;case"number":if(e<0&&(u=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<=y&&g<=y;){if(e===(r=(h+v)/(d+g))){d+g<=y?(n=h+v,o=d+g):g>d?(n=v,o=g):(n=h,o=d);break}e>r?(h+=v,d+=g):(v+=h,g+=d),d>y?(n=v,o=g):(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]?(u=-1,h++):"+"===d[h]&&h++,d.length===h+1?c=a(d[h++],u):"."===d[h+1]||"."===d[h]?("."!==d[h]&&(s=a(d[h++],u)),(1+ ++h===d.length||"("===d[h+1]&&")"===d[h+3]||"'"===d[h+1]&&"'"===d[h+3])&&(c=a(d[h],u),p=Math.pow(10,d[h].length),h++),("("===d[h]&&")"===d[h+2]||"'"===d[h]&&"'"===d[h+2])&&(l=a(d[h+1],u),m=Math.pow(10,d[h+1].length)-1,h+=3)):"/"===d[h+1]||":"===d[h+1]?(c=a(d[h],u),p=a(d[h+2],1),h+=3):"/"===d[h+3]&&" "===d[h+1]&&(s=a(d[h],u),c=a(d[h+2],u),p=a(d[h+4],1),h+=5),d.length<=h){u=n=l+(o=p*m)*s+m*c;break}default:throw f.InvalidParameter}if(0===o)throw f.DivisionByZero;i.s=u<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(s(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 s(e,t),o(this.s*this.n*i.d+i.s*this.d*i.n,this.d*i.d)},sub:function(e,t){return s(e,t),o(this.s*this.n*i.d-i.s*this.d*i.n,this.d*i.d)},mul:function(e,t){return s(e,t),o(this.s*i.s*this.n*i.n,this.d*i.d)},div:function(e,t){return s(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(s(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 s(e,t),o(c(i.n,this.n)*c(i.d,this.d),i.d*this.d)},lcm:function(e,t){return s(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(s(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=u(this.n),n=u(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 s(e,t),this.s*this.n*i.d==i.s*i.n*this.d},compare:function(e,t){s(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 s(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;for(a+="(",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===(r=function(){return f}.apply(t,[]))||(e.exports=r)}()},3228:e=>{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=/(^[ ]*|[ ]*$)/g,u=/(^([\w ]+,?[\w ]+)?[\w ]+,?[\w ]+\d+:\d+(:\d+)?[\w ]?|^\d{1,4}[\/\-]\d{1,4}[\/\-]\d{1,4}|^\w+, \w+ \d+, \d{4})/,s=/^0x[0-9a-f]+$/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(s),16)||1!==m.length&&l.match(u)&&Date.parse(l),v=parseInt(p.match(s),16)||d&&p.match(u)&&Date.parse(p)||null;if(v){if(d<v)return-1;if(d>v)return 1}for(var g=0,y=Math.max(m.length,h.length);g<y;g++){if(n=!(m[g]||"").match(c)&&parseFloat(m[g])||m[g]||0,i=!(h[g]||"").match(c)&&parseFloat(h[g])||h[g]||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}},6377:(e,t,r)=>{var n=r(4832),i=r(8652),a=r(801),o=r(2030),u=r(3618),s=r(9049),c=r(1971);c.alea=n,c.xor128=i,c.xorwow=a,c.xorshift7=o,c.xor4096=u,c.tychei=s,e.exports=c},4832:function(e,t,r){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 u(e,t){return t.c=e.c,t.s0=e.s0,t.s1=e.s1,t.s2=e.s2,t}function s(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&&u(n,r),i.state=function(){return u(r,{})}),i}i&&i.exports?i.exports=s:r.amdD&&r.amdO?void 0===(n=function(){return s}.call(t,r,t,i))||(i.exports=n):this.alea=s}(0,e=r.nmd(e),r.amdD)},9049:function(e,t,r){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 u(e,t){return t.a=e.a,t.b=e.b,t.c=e.c,t.d=e.d,t}function s(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&&u(n,r),i.state=function(){return u(r,{})}),i}i&&i.exports?i.exports=s:r.amdD&&r.amdO?void 0===(n=function(){return s}.call(t,r,t,i))||(i.exports=n):this.tychei=s}(0,e=r.nmd(e),r.amdD)},8652:function(e,t,r){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 u(e,t){return t.x=e.x,t.y=e.y,t.z=e.z,t.w=e.w,t}function s(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&&u(n,r),i.state=function(){return u(r,{})}),i}i&&i.exports?i.exports=s:r.amdD&&r.amdO?void 0===(n=function(){return s}.call(t,r,t,i))||(i.exports=n):this.xor128=s}(0,e=r.nmd(e),r.amdD)},3618:function(e,t,r){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,u=[],s=128;for(t===(0|t)?(n=t,t=null):(t+="\0",n=0,s=Math.max(s,t.length)),i=0,a=-32;a<s;++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=u[127&a]^=n+o)?i+1:0);for(i>=128&&(u[127&(t&&t.length||0)]=-1),i=127,a=512;a>0;--a)n=u[i+34&127],r=u[i=i+1&127],n^=n<<13,r^=r<<17,n^=n>>>15,r^=r>>>12,u[i]=n^r;e.w=o,e.X=u,e.i=i}(t,e)}function u(e,t){return t.i=e.i,t.w=e.w,t.X=e.X.slice(),t}function s(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&&u(n,r),i.state=function(){return u(r,{})}),i}i&&i.exports?i.exports=s:r.amdD&&r.amdO?void 0===(n=function(){return s}.call(t,r,t,i))||(i.exports=n):this.xor4096=s}(0,e=r.nmd(e),r.amdD)},2030:function(e,t,r){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 u(e,t){return t.x=e.x.slice(),t.i=e.i,t}function s(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&&u(n,r),i.state=function(){return u(r,{})}),i}i&&i.exports?i.exports=s:r.amdD&&r.amdO?void 0===(n=function(){return s}.call(t,r,t,i))||(i.exports=n):this.xorshift7=s}(0,e=r.nmd(e),r.amdD)},801:function(e,t,r){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 u(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 s(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&&u(n,r),i.state=function(){return u(r,{})}),i}i&&i.exports?i.exports=s:r.amdD&&r.amdO?void 0===(n=function(){return s}.call(t,r,t,i))||(i.exports=n):this.xorwow=s}(0,e=r.nmd(e),r.amdD)},1971:function(e,t,r){var n;!function(i,a,o){var u,s=256,c=o.pow(s,6),f=o.pow(2,52),l=2*f,p=255;function m(e,t,r){var n=[],p=g(v((t=1==t?{entropy:!0}:t||{}).entropy?[e,y(a)]:null==e?function(){try{var e;return u&&(e=u.randomBytes)?e=e(s):(e=new Uint8Array(s),(i.crypto||i.msCrypto).getRandomValues(e)),y(e)}catch(e){var t=i.navigator,r=t&&t.plugins;return[+new Date,i,r,i.screen,y(a)]}}():e,3),n),m=new h(n),x=function(){for(var e=m.g(6),t=c,r=0;e<f;)e=(e+r)*s,t*=s,r=m.g(1);for(;e>=l;)e/=2,t/=2,r>>>=1;return(e+r)/t};return x.int32=function(){return 0|m.g(4)},x.quick=function(){return m.g(4)/4294967296},x.double=x,g(y(m.S),a),(t.pass||r||function(e,t,r,n){return n&&(n.S&&d(n,m),e.state=function(){return d(m,{})}),r?(o.random=e,t):e})(x,p,"global"in t?t.global:this==o,t.state)}function h(e){var t,r=e.length,n=this,i=0,a=n.i=n.j=0,o=n.S=[];for(r||(e=[r++]);i<s;)o[i]=i++;for(i=0;i<s;i++)o[i]=o[a=p&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=p&i+1],r=r*s+o[p&(o[i]=o[a=p&a+t])+(o[a]=t)];return n.i=i,n.j=a,r})(s)}function d(e,t){return t.i=e.i,t.j=e.j,t.S=e.S.slice(),t}function v(e,t){var r,n=[],i=typeof e;if(t&&"object"==i)for(r in e)try{n.push(v(e[r],t-1))}catch(e){}return n.length?n:"string"==i?e:e+"\0"}function g(e,t){for(var r,n=e+"",i=0;i<n.length;)t[p&i]=p&(r^=19*t[p&i])+n.charCodeAt(i++);return y(t)}function y(e){return String.fromCharCode.apply(0,e)}if(g(o.random(),a),e.exports){e.exports=m;try{u=r(5042)}catch(e){}}else void 0===(n=function(){return m}.call(t,r,t,e))||(e.exports=n)}("undefined"!=typeof self?self:this,[],Math)},4279:e=>{function t(){}t.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=t,e.exports.TinyEmitter=t},2287:function(e,t){"use strict";var r,n;r=function(){function e(){return!0}function t(){return!1}function r(){}const n="Argument is not a typed-function.";return function i(){function a(e){return"object"==typeof e&&null!==e&&e.constructor===Object}const o=[{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:a},{name:"null",test:function(e){return null===e}},{name:"undefined",test:function(e){return void 0===e}}],u={name:"any",test:e,isAny:!0};let s,c,f=0,l={createCount:0};function p(e){const t=s.get(e);if(t)return t;let r='Unknown type "'+e+'"';const n=e.toLowerCase();let i;for(i of c)if(i.toLowerCase()===n){r+='. Did you mean "'+i+'" ?';break}throw new TypeError(r)}function m(e,t="any"){const r=t?p(t).index:c.length,n=[];for(var i=0;i<e.length;++i){if(!e[i]||"string"!=typeof e[i].name||"function"!=typeof e[i].test)throw new TypeError("Object with properties {name: string, test: function} expected");const t=e[i].name;if(s.has(t))throw new TypeError('Duplicate type name "'+t+'"');n.push(t),s.set(t,{name:t,test:e[i].test,isAny:e[i].isAny,index:r+i,conversionsTo:[]})}const a=c.slice(r);for(c=c.slice(0,r).concat(n).concat(a),i=r+n.length;i<c.length;++i)s.get(c[i]).index=i}function h(){s=new Map,c=[],f=0,m([u],!1)}function d(e){const t=c.filter((t=>{const r=s.get(t);return!r.isAny&&r.test(e)}));return t.length?t:["any"]}function v(e){return e&&"function"==typeof e&&"_typedFunctionData"in e}function g(e,t,r){if(!v(e))throw new TypeError(n);const i=r&&r.exact,a=N(Array.isArray(t)?t.join(","):t),o=y(a);if(!i||o in e.signatures){const t=e._typedFunctionData.signatureMap.get(o);if(t)return t}const u=a.length;let s,c;if(i){let t;for(t in s=[],e.signatures)s.push(e._typedFunctionData.signatureMap.get(t))}else s=e._typedFunctionData.signatures;for(var f=0;f<u;++f){const e=a[f],t=[];let r;for(r of s){const n=S(r.params,f);if(n&&(!e.restParam||n.restParam)){if(!n.hasAny){const t=w(n);if(e.types.some((e=>!t.has(e.name))))continue}t.push(r)}}if(s=t,0===s.length)break}for(c of s)if(c.params.length<=u)return c;throw new TypeError("Signature not found (signature: "+(e.name||"unnamed")+"("+y(a,", ")+"))")}function y(e,t=","){return e.map((e=>e.name)).join(t)}function x(e){const t=0===e.indexOf("..."),r=(t?e.length>3?e.slice(3):"any":e).split("|").map((e=>p(e.trim())));let n=!1,i=t?"...":"";return{types:r.map((function(e){return n=e.isAny||n,i+=e.name+"|",{name:e.name,typeIndex:e.index,test:e.test,isAny:e.isAny,conversion:null,conversionIndex:-1}})),name:i.slice(0,-1),hasAny:n,hasConversion:!1,restParam:t}}function b(e){const t=function(e){if(0===e.length)return[];const t=e.map(p);e.length>1&&t.sort(((e,t)=>e.index-t.index));let r=t[0].conversionsTo;if(1===e.length)return r;r=r.concat([]);const n=new Set(e);for(var i=1;i<t.length;++i){let e;for(e of t[i].conversionsTo)n.has(e.from)||(r.push(e),n.add(e.from))}return r}(e.types.map((e=>e.name)));let r=e.hasAny,n=e.name;const i=t.map((function(e){const t=p(e.from);return r=t.isAny||r,n+="|"+e.from,{name:e.from,typeIndex:t.index,test:t.test,isAny:t.isAny,conversion:e,conversionIndex:e.index}}));return{types:e.types.concat(i),name:n,hasAny:r,hasConversion:i.length>0,restParam:e.restParam}}function w(e){return e.typeSet||(e.typeSet=new Set,e.types.forEach((t=>e.typeSet.add(t.name)))),e.typeSet}function N(e){const t=[];if("string"!=typeof e)throw new TypeError("Signatures must be strings");const r=e.trim();if(""===r)return t;const n=r.split(",");for(var i=0;i<n.length;++i){const e=x(n[i].trim());if(e.restParam&&i!==n.length-1)throw new SyntaxError('Unexpected rest parameter "'+n[i]+'": only allowed for the last parameter');if(0==e.types.length)return null;t.push(e)}return t}function D(e){const t=H(e);return!!t&&t.restParam}function E(t){if(t&&0!==t.types.length){if(1===t.types.length)return p(t.types[0].name).test;if(2===t.types.length){const e=p(t.types[0].name).test,r=p(t.types[1].name).test;return function(t){return e(t)||r(t)}}{const e=t.types.map((function(e){return p(e.name).test}));return function(t){for(var r=0;r<e.length;r++)if(e[r](t))return!0;return!1}}}return e}function A(e){let t,r,n;if(D(e)){t=$(e).map(E);const r=t.length,n=E(H(e)),i=function(e){for(var t=r;t<e.length;t++)if(!n(e[t]))return!1;return!0};return function(e){for(var n=0;n<t.length;n++)if(!t[n](e[n]))return!1;return i(e)&&e.length>=r+1}}return 0===e.length?function(e){return 0===e.length}:1===e.length?(r=E(e[0]),function(e){return r(e[0])&&1===e.length}):2===e.length?(r=E(e[0]),n=E(e[1]),function(e){return r(e[0])&&n(e[1])&&2===e.length}):(t=e.map(E),function(e){for(var r=0;r<t.length;r++)if(!t[r](e[r]))return!1;return e.length===t.length})}function S(e,t){return t<e.length?e[t]:D(e)?H(e):null}function C(e,t){const r=S(e,t);return r?w(r):new Set}function M(e){return null===e.conversion||void 0===e.conversion}function F(e,t){const r=new Set;return e.forEach((e=>{const n=C(e.params,t);let i;for(i of n)r.add(i)})),r.has("any")?["any"]:Array.from(r)}function O(e,t,r){let n,i;const a=e||"unnamed";let o=r;for(var u=0;u<t.length;u++){const e=[];if(o.forEach((r=>{const n=E(S(r.params,u));(u<r.params.length||D(r.params))&&n(t[u])&&e.push(r)})),0===e.length){if(i=F(o,u),i.length>0){const e=d(t[u]);return n=new TypeError("Unexpected type of argument in function "+a+" (expected: "+i.join(" or ")+", actual: "+e.join(" | ")+", index: "+u+")"),n.data={category:"wrongType",fn:a,index:u,actual:e,expected:i},n}}else o=e}const s=o.map((function(e){return D(e.params)?1/0:e.params.length}));if(t.length<Math.min.apply(null,s))return i=F(o,u),n=new TypeError("Too few arguments in function "+a+" (expected: "+i.join(" or ")+", index: "+t.length+")"),n.data={category:"tooFewArgs",fn:a,index:t.length,expected:i},n;const c=Math.max.apply(null,s);if(t.length>c)return n=new TypeError("Too many arguments in function "+a+" (expected: "+c+", actual: "+t.length+")"),n.data={category:"tooManyArgs",fn:a,index:t.length,expectedLength:c},n;const f=[];for(var l=0;l<t.length;++l)f.push(d(t[l]).join("|"));return n=new TypeError('Arguments of type "'+f.join(", ")+'" do not match any of the defined signatures of function '+a+"."),n.data={category:"mismatch",actual:f},n}function T(e){let t=c.length+1;for(var r=0;r<e.types.length;r++)M(e.types[r])&&(t=Math.min(t,e.types[r].typeIndex));return t}function B(e){let t=f+1;for(var r=0;r<e.types.length;r++)M(e.types[r])||(t=Math.min(t,e.types[r].conversionIndex));return t}function _(e,t){if(e.hasAny){if(!t.hasAny)return 1}else if(t.hasAny)return-1;if(e.restParam){if(!t.restParam)return 1}else if(t.restParam)return-1;if(e.hasConversion){if(!t.hasConversion)return 1}else if(t.hasConversion)return-1;const r=T(e)-T(t);if(r<0)return-1;if(r>0)return 1;const n=B(e)-B(t);return n<0?-1:n>0?1:0}function k(e,t){const r=e.params,n=t.params,i=H(r),a=H(n),o=D(r),u=D(n);if(o&&i.hasAny){if(!u||!a.hasAny)return 1}else if(u&&a.hasAny)return-1;let s,c=0,f=0;for(s of r)s.hasAny&&++c,s.hasConversion&&++f;let l=0,p=0;for(s of n)s.hasAny&&++l,s.hasConversion&&++p;if(c!==l)return c-l;if(o&&i.hasConversion){if(!u||!a.hasConversion)return 1}else if(u&&a.hasConversion)return-1;if(f!==p)return f-p;if(o){if(!u)return 1}else if(u)return-1;const m=(r.length-n.length)*(o?-1:1);if(0!==m)return m;const h=[];let d,v=0;for(let e=0;e<r.length;++e){const t=_(r[e],n[e]);h.push(t),v+=t}if(0!==v)return v;for(d of h)if(0!==d)return d;return 0}function I(e,t){let r=t;if(e.some((e=>e.hasConversion))){const n=D(e),i=e.map(R);r=function(){const e=[],r=n?arguments.length-1:arguments.length;for(var a=0;a<r;a++)e[a]=i[a](arguments[a]);return n&&(e[r]=arguments[r].map(i[r])),t.apply(this,e)}}let n=r;if(D(e)){const t=e.length-1;n=function(){return r.apply(this,G(arguments,0,t).concat([G(arguments,t)]))}}return n}function R(e){let t,r,n,i;const a=[],o=[];switch(e.types.forEach((function(e){e.conversion&&(a.push(p(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 z(e){return function e(t,r,n){if(r<t.length){const o=t[r];let u=[];if(o.restParam){const e=o.types.filter(M);e.length<o.types.length&&u.push({types:e,name:"..."+e.map((e=>e.name)).join("|"),hasAny:e.some((e=>e.isAny)),hasConversion:!1,restParam:!0}),u.push(o)}else u=o.types.map((function(e){return{types:[e],name:e.name,hasAny:e.isAny,hasConversion:e.conversion,restParam:!1}}));return i=u,a=function(i){return e(t,r+1,n.concat([i]))},Array.prototype.concat.apply([],i.map(a))}var i,a;return[n]}(e,0,[])}function q(e,t){const r=Math.max(e.length,t.length);for(var n=0;n<r;n++){const r=C(e,n),i=C(t,n);let a,o=!1;for(a of i)if(r.has(a)){o=!0;break}if(!o)return!1}const i=e.length,a=t.length,o=D(e),u=D(t);return o?u?i===a:a>=i:u?i>=a:i===a}function j(e,t,r){const n=[];let i;for(i of e){let e=r[i];if("number"!=typeof e)throw new TypeError('No definition for referenced signature "'+i+'"');if(e=t[e],"function"!=typeof e)return!1;n.push(e)}return n}function P(e,t,r){let n=function(e){return e.map((e=>J(e)?Z(e.referToSelf.callback):W(e)?V(e.referTo.references,e.referTo.callback):e))}(e),i=!0;for(;i;){i=!1;let e=!0;for(var a=0;a<n.length;++a){const o=n[a];if(J(o))n[a]=o.referToSelf.callback(r),n[a].referToSelf=o.referToSelf,e=!1;else if(W(o)){const r=j(o.referTo.references,n,t);r?(n[a]=o.referTo.callback.apply(this,r),n[a].referTo=o.referTo,e=!1):i=!0}}if(e&&i)throw new SyntaxError("Circular reference detected in resolving typed.referTo")}return n}function L(e,n){if(l.createCount++,0===Object.keys(n).length)throw new SyntaxError("No signatures provided");l.warnAgainstDeprecatedThis&&function(e){var t=/\bthis(\(|\.signatures\b)/;Object.keys(e).forEach((r=>{var n=e[r];if(t.test(n.toString()))throw new SyntaxError("Using `this` to self-reference a function is deprecated since typed-function@3. Use typed.referTo and typed.referToSelf instead.")}))}(n);const i=[],a=[],o={},u=[];let s;for(s in n){if(!Object.prototype.hasOwnProperty.call(n,s))continue;const e=N(s);if(!e)continue;i.forEach((function(t){if(q(t,e))throw new TypeError('Conflicting signatures "'+y(t)+'" and "'+y(e)+'".')})),i.push(e);const t=a.length;a.push(n[s]);const r=e.map(b);let c;for(c of z(r)){const e=y(c);u.push({params:c,name:e,fn:t}),c.every((e=>!e.hasConversion))&&(o[e]=t)}}u.sort(k);const c=P(a,o,se);let f;for(f in o)Object.prototype.hasOwnProperty.call(o,f)&&(o[f]=c[o[f]]);const p=[],m=new Map;for(f of u)m.has(f.name)||(f.fn=c[f.fn],p.push(f),m.set(f.name,f));const h=p[0]&&p[0].params.length<=2&&!D(p[0].params),d=p[1]&&p[1].params.length<=2&&!D(p[1].params),v=p[2]&&p[2].params.length<=2&&!D(p[2].params),g=p[3]&&p[3].params.length<=2&&!D(p[3].params),x=p[4]&&p[4].params.length<=2&&!D(p[4].params),w=p[5]&&p[5].params.length<=2&&!D(p[5].params),S=h&&d&&v&&g&&x&&w;for(var C=0;C<p.length;++C)p[C].test=A(p[C].params);const M=h?E(p[0].params[0]):t,F=d?E(p[1].params[0]):t,O=v?E(p[2].params[0]):t,T=g?E(p[3].params[0]):t,B=x?E(p[4].params[0]):t,_=w?E(p[5].params[0]):t,R=h?E(p[0].params[1]):t,j=d?E(p[1].params[1]):t,L=v?E(p[2].params[1]):t,U=g?E(p[3].params[1]):t,$=x?E(p[4].params[1]):t,H=w?E(p[5].params[1]):t;for(C=0;C<p.length;++C)p[C].implementation=I(p[C].params,p[C].fn);const G=h?p[0].implementation:r,V=d?p[1].implementation:r,Z=v?p[2].implementation:r,W=g?p[3].implementation:r,J=x?p[4].implementation:r,Y=w?p[5].implementation:r,X=h?p[0].params.length:-1,Q=d?p[1].params.length:-1,K=v?p[2].params.length:-1,ee=g?p[3].params.length:-1,te=x?p[4].params.length:-1,re=w?p[5].params.length:-1,ne=S?6:0,ie=p.length,ae=p.map((e=>e.test)),oe=p.map((e=>e.implementation)),ue=function(){for(var t=ne;t<ie;t++)if(ae[t](arguments))return oe[t].apply(this,arguments);return l.onMismatch(e,arguments,p)};function se(e,t){return arguments.length===X&&M(e)&&R(t)?G.apply(this,arguments):arguments.length===Q&&F(e)&&j(t)?V.apply(this,arguments):arguments.length===K&&O(e)&&L(t)?Z.apply(this,arguments):arguments.length===ee&&T(e)&&U(t)?W.apply(this,arguments):arguments.length===te&&B(e)&&$(t)?J.apply(this,arguments):arguments.length===re&&_(e)&&H(t)?Y.apply(this,arguments):ue.apply(this,arguments)}try{Object.defineProperty(se,"name",{value:e})}catch(e){}return se.signatures=o,se._typedFunctionData={signatures:p,signatureMap:m},se}function U(e,t,r){throw O(e,t,r)}function $(e){return G(e,0,e.length-1)}function H(e){return e[e.length-1]}function G(e,t,r){return Array.prototype.slice.call(e,t,r)}function V(e,t){return{referTo:{references:e,callback:t}}}function Z(e){if("function"!=typeof e)throw new TypeError("Callback function expected as first argument");return{referToSelf:{callback:e}}}function W(e){return e&&"object"==typeof e.referTo&&Array.isArray(e.referTo.references)&&"function"==typeof e.referTo.callback}function J(e){return e&&"object"==typeof e.referToSelf&&"function"==typeof e.referToSelf.callback}function Y(e,t){if(!e)return t;if(t&&t!=e){const r=new Error("Function names do not match (expected: "+e+", actual: "+t+")");throw r.data={actual:t,expected:e},r}return e}function X(e){let t;for(let r in e)e.hasOwnProperty(r)&&(v(e[r])||"string"==typeof e[r].signature)&&(t=Y(t,e[r].name));return t}function Q(e,t){let r;for(r in t)if(t.hasOwnProperty(r)){if(r in e&&t[r]!==e[r]){const n=new Error('Signature "'+r+'" is defined twice');throw n.data={signature:r,sourceFunction:t[r],destFunction:e[r]},n}e[r]=t[r]}}h(),m(o);const K=l;function ee(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");if(e.to===e.from)throw new SyntaxError('Illegal to define conversion from "'+e.from+'" to itself.')}return l=function(e){const t="string"==typeof e;let r=t?e:"";const n={};for(let e=t?1:0;e<arguments.length;++e){const i=arguments[e];let o,u={};if("function"==typeof i?(o=i.name,"string"==typeof i.signature?u[i.signature]=i:v(i)&&(u=i.signatures)):a(i)&&(u=i,t||(o=X(i))),0===Object.keys(u).length){const t=new TypeError("Argument to 'typed' at index "+e+" is not a (typed) function, nor an object with signatures as keys and functions as values.");throw t.data={index:e,argument:i},t}t||(r=Y(r,o)),Q(n,u)}return L(r||"",n)},l.create=i,l.createCount=K.createCount,l.onMismatch=U,l.throwMismatchError=U,l.createError=O,l.clear=h,l.clearConversions=function(){let e;for(e of c)s.get(e).conversionsTo=[];f=0},l.addTypes=m,l._findType=p,l.referTo=function(){let e=$(arguments).map((e=>y(N(e))));const t=H(arguments);if("function"!=typeof t)throw new TypeError("Callback function expected as last argument");return V(e,t)},l.referToSelf=Z,l.convert=function(e,t){const r=p(t);if(r.test(e))return e;const n=r.conversionsTo;if(0===n.length)throw new Error("There are no conversions to "+t+" defined.");for(var i=0;i<n.length;i++)if(p(n[i].from).test(e))return n[i].convert(e);throw new Error("Cannot convert "+e+" to "+t)},l.findSignature=g,l.find=function(e,t,r){return g(e,t,r).implementation},l.isTypedFunction=v,l.warnAgainstDeprecatedThis=!0,l.addType=function(e,t){let r="any";!1!==t&&(r="Object"),l.addTypes([e],r)},l.addConversion=function(e){ee(e);const t=p(e.to);if(!t.conversionsTo.every((function(t){return t.from!==e.from})))throw new Error('There is already a conversion from "'+e.from+'" to "'+t.name+'"');t.conversionsTo.push({from:e.from,convert:e.convert,index:f++})},l.addConversions=function(e){e.forEach(l.addConversion)},l.removeConversion=function(e){ee(e);const t=p(e.to),r=function(e,t){for(var r=0;r<e.length;r++)if(t(e[r]))return e[r]}(t.conversionsTo,(t=>t.from===e.from));if(!r)throw new Error("Attempt to remove nonexistent conversion from "+e.from+" to "+e.to);if(r.convert!==e.convert)throw new Error("Conversion to remove does not match existing conversion");const n=t.conversionsTo.indexOf(r);t.conversionsTo.splice(n,1)},l.resolve=function(e,t){if(!v(e))throw new TypeError(n);const r=e._typedFunctionData.signatures;for(var i=0;i<r.length;++i)if(r[i].test(t))return r[i];return null},l}()},void 0===(n=r.apply(t,[]))||(e.exports=n)},5042:()=>{},7061:(e,t,r)=>{var n=r(8698).default;function i(){"use strict";e.exports=i=function(){return t},e.exports.__esModule=!0,e.exports.default=e.exports;var t={},r=Object.prototype,a=r.hasOwnProperty,o="function"==typeof Symbol?Symbol:{},u=o.iterator||"@@iterator",s=o.asyncIterator||"@@asyncIterator",c=o.toStringTag||"@@toStringTag";function f(e,t,r){return Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}),e[t]}try{f({},"")}catch(e){f=function(e,t,r){return e[t]=r}}function l(e,t,r,n){var i=t&&t.prototype instanceof h?t:h,a=Object.create(i.prototype),o=new S(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{value:void 0,done:!0}}for(r.method=i,r.arg=a;;){var o=r.delegate;if(o){var u=D(o,r);if(u){if(u===m)continue;return u}}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 s=p(e,t,r);if("normal"===s.type){if(n=r.done?"completed":"suspendedYield",s.arg===m)continue;return{value:s.arg,done:r.done}}"throw"===s.type&&(n="completed",r.method="throw",r.arg=s.arg)}}}(e,r,o),a}function p(e,t,r){try{return{type:"normal",arg:e.call(t,r)}}catch(e){return{type:"throw",arg:e}}}t.wrap=l;var m={};function h(){}function d(){}function v(){}var g={};f(g,u,(function(){return this}));var y=Object.getPrototypeOf,x=y&&y(y(C([])));x&&x!==r&&a.call(x,u)&&(g=x);var b=v.prototype=h.prototype=Object.create(g);function w(e){["next","throw","return"].forEach((function(t){f(e,t,(function(e){return this._invoke(t,e)}))}))}function N(e,t){function r(i,o,u,s){var c=p(e[i],e,o);if("throw"!==c.type){var f=c.arg,l=f.value;return l&&"object"==n(l)&&a.call(l,"__await")?t.resolve(l.__await).then((function(e){r("next",e,u,s)}),(function(e){r("throw",e,u,s)})):t.resolve(l).then((function(e){f.value=e,u(f)}),(function(e){return r("throw",e,u,s)}))}s(c.arg)}var i;this._invoke=function(e,n){function a(){return new t((function(t,i){r(e,n,t,i)}))}return i=i?i.then(a,a):a()}}function D(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,D(e,t),"throw"===t.method))return m;t.method="throw",t.arg=new TypeError("The iterator does not provide a 'throw' method")}return m}var n=p(r,e.iterator,t.arg);if("throw"===n.type)return t.method="throw",t.arg=n.arg,t.delegate=null,m;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,m):i:(t.method="throw",t.arg=new TypeError("iterator result is not an object"),t.delegate=null,m)}function E(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 A(e){var t=e.completion||{};t.type="normal",delete t.arg,e.completion=t}function S(e){this.tryEntries=[{tryLoc:"root"}],e.forEach(E,this),this.reset(!0)}function C(e){if(e){var t=e[u];if(t)return t.call(e);if("function"==typeof e.next)return e;if(!isNaN(e.length)){var r=-1,n=function t(){for(;++r<e.length;)if(a.call(e,r))return t.value=e[r],t.done=!1,t;return t.value=void 0,t.done=!0,t};return n.next=n}}return{next:M}}function M(){return{value:void 0,done:!0}}return d.prototype=v,f(b,"constructor",v),f(v,"constructor",d),d.displayName=f(v,c,"GeneratorFunction"),t.isGeneratorFunction=function(e){var t="function"==typeof e&&e.constructor;return!!t&&(t===d||"GeneratorFunction"===(t.displayName||t.name))},t.mark=function(e){return Object.setPrototypeOf?Object.setPrototypeOf(e,v):(e.__proto__=v,f(e,c,"GeneratorFunction")),e.prototype=Object.create(b),e},t.awrap=function(e){return{__await:e}},w(N.prototype),f(N.prototype,s,(function(){return this})),t.AsyncIterator=N,t.async=function(e,r,n,i,a){void 0===a&&(a=Promise);var o=new N(l(e,r,n,i),a);return t.isGeneratorFunction(r)?o:o.next().then((function(e){return e.done?e.value:o.next()}))},w(b),f(b,c,"Generator"),f(b,u,(function(){return this})),f(b,"toString",(function(){return"[object Generator]"})),t.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}},t.values=C,S.prototype={constructor:S,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(A),!e)for(var t in this)"t"===t.charAt(0)&&a.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 r(r,n){return o.type="throw",o.arg=e,t.next=r,n&&(t.method="next",t.arg=void 0),!!n}for(var n=this.tryEntries.length-1;n>=0;--n){var i=this.tryEntries[n],o=i.completion;if("root"===i.tryLoc)return r("end");if(i.tryLoc<=this.prev){var u=a.call(i,"catchLoc"),s=a.call(i,"finallyLoc");if(u&&s){if(this.prev<i.catchLoc)return r(i.catchLoc,!0);if(this.prev<i.finallyLoc)return r(i.finallyLoc)}else if(u){if(this.prev<i.catchLoc)return r(i.catchLoc,!0)}else{if(!s)throw new Error("try statement without catch or finally");if(this.prev<i.finallyLoc)return r(i.finallyLoc)}}}},abrupt:function(e,t){for(var r=this.tryEntries.length-1;r>=0;--r){var n=this.tryEntries[r];if(n.tryLoc<=this.prev&&a.call(n,"finallyLoc")&&this.prev<n.finallyLoc){var i=n;break}}i&&("break"===e||"continue"===e)&&i.tryLoc<=t&&t<=i.finallyLoc&&(i=null);var o=i?i.completion:{};return o.type=e,o.arg=t,i?(this.method="next",this.next=i.finallyLoc,m):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),m},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),A(r),m}},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;A(r)}return i}}throw new Error("illegal catch attempt")},delegateYield:function(e,t,r){return this.delegate={iterator:C(e),resultName:t,nextLoc:r},"next"===this.method&&(this.arg=void 0),m}},t}e.exports=i,e.exports.__esModule=!0,e.exports.default=e.exports},8698:e=>{function t(r){return e.exports=t="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,t(r)}e.exports=t,e.exports.__esModule=!0,e.exports.default=e.exports},4687:(e,t,r)=>{var n=r(7061)();e.exports=n;try{regeneratorRuntime=n}catch(e){"object"==typeof globalThis?globalThis.regeneratorRuntime=n:Function("r","regeneratorRuntime = r")(n)}}},t={};function r(n){var i=t[n];if(void 0!==i)return i.exports;var a=t[n]={id:n,loaded:!1,exports:{}};return e[n].call(a.exports,a,a.exports,r),a.loaded=!0,a.exports}r.amdD=function(){throw new Error("define cannot be used indirect")},r.amdO={},r.d=(e,t)=>{for(var n in t)r.o(t,n)&&!r.o(e,n)&&Object.defineProperty(e,n,{enumerable:!0,get:t[n]})},r.g=function(){if("object"==typeof globalThis)return globalThis;try{return this||new Function("return this")()}catch(e){if("object"==typeof window)return window}}(),r.o=(e,t)=>Object.prototype.hasOwnProperty.call(e,t),r.r=e=>{"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},r.nmd=e=>(e.paths=[],e.children||(e.children=[]),e);var n={};return(()=>{"use strict";r.d(n,{default:()=>Cd});var e={};function t(e){return t="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},t(e)}function i(e){return"number"==typeof e}function a(e){return!(!e||"object"!==t(e)||"function"!=typeof e.constructor)&&(!0===e.isBigNumber&&"object"===t(e.constructor.prototype)&&!0===e.constructor.prototype.isBigNumber||"function"==typeof e.constructor.isDecimal&&!0===e.constructor.isDecimal(e))}function o(e){return e&&"object"===t(e)&&!0===Object.getPrototypeOf(e).isComplex||!1}function u(e){return e&&"object"===t(e)&&!0===Object.getPrototypeOf(e).isFraction||!1}function s(e){return e&&!0===e.constructor.prototype.isUnit||!1}function c(e){return"string"==typeof e}r.r(e),r.d(e,{createAbs:()=>vn,createAccessorNode:()=>gf,createAcos:()=>Ms,createAcosh:()=>Zs,createAcot:()=>Js,createAcoth:()=>Xs,createAcsc:()=>Ks,createAcsch:()=>tc,createAdd:()=>Qc,createAddScalar:()=>wn,createAnd:()=>Du,createApply:()=>yn,createApplyTransform:()=>Yh,createArg:()=>Ki,createArrayNode:()=>xf,createAsec:()=>nc,createAsech:()=>ac,createAsin:()=>uc,createAsinh:()=>sc,createAssignmentNode:()=>Mf,createAtan:()=>cc,createAtan2:()=>lc,createAtanh:()=>mc,createAtomicMass:()=>Ch,createAvogadro:()=>Mh,createBellNumbers:()=>im,createBigNumberClass:()=>Ye,createBignumber:()=>Mr,createBin:()=>Io,createBitAnd:()=>Gi,createBitNot:()=>Zi,createBitOr:()=>Ji,createBitXor:()=>Qi,createBlockNode:()=>Of,createBohrMagneton:()=>uh,createBohrRadius:()=>mh,createBoltzmann:()=>Fh,createBoolean:()=>Cr,createCatalan:()=>om,createCbrt:()=>Dn,createCeil:()=>_n,createChain:()=>$l,createChainClass:()=>Rl,createClassicalElectronRadius:()=>hh,createClone:()=>$t,createColumn:()=>va,createColumnTransform:()=>Xh,createCombinations:()=>wp,createCombinationsWithRep:()=>Ep,createCompare:()=>Au,createCompareNatural:()=>Fu,createCompareText:()=>Bu,createCompile:()=>ll,createComplex:()=>Fr,createComplexClass:()=>Qe,createComposition:()=>sm,createConcat:()=>ma,createConcatTransform:()=>pd,createConditionalNode:()=>Bf,createConductanceQuantum:()=>sh,createConj:()=>ta,createConstantNode:()=>Lf,createCos:()=>dc,createCosh:()=>gc,createCot:()=>yc,createCoth:()=>bc,createCoulomb:()=>ah,createCount:()=>ya,createCreateUnit:()=>Ss,createCross:()=>ba,createCsc:()=>wc,createCsch:()=>Dc,createCtranspose:()=>ho,createCube:()=>In,createCumSum:()=>up,createCumSumTransform:()=>yd,createDeepEqual:()=>Xu,createDenseMatrixClass:()=>Lt,createDerivative:()=>Em,createDet:()=>Hl,createDeuteronMass:()=>bh,createDiag:()=>Na,createDiff:()=>ja,createDiffTransform:()=>hd,createDistance:()=>np,createDivide:()=>tp,createDivideScalar:()=>Vo,createDot:()=>nf,createDotDivide:()=>au,createDotMultiply:()=>Ci,createDotPow:()=>nu,createE:()=>jm,createEfimovFactor:()=>Sh,createEigs:()=>Yl,createElectricConstant:()=>nh,createElectronMass:()=>dh,createElementaryCharge:()=>oh,createEqual:()=>ku,createEqualScalar:()=>wr,createEqualText:()=>zu,createErf:()=>No,createEvaluate:()=>ml,createExp:()=>Rn,createExpm:()=>Ql,createExpm1:()=>qn,createFactorial:()=>zp,createFalse:()=>_m,createFaraday:()=>Oh,createFermiCoupling:()=>vh,createFft:()=>xo,createFibonacciHeapClass:()=>cs,createFilter:()=>Da,createFilterTransform:()=>Kh,createFineStructure:()=>gh,createFirstRadiation:()=>Th,createFix:()=>Un,createFlatten:()=>Sa,createFloor:()=>Vn,createForEach:()=>Ma,createForEachTransform:()=>td,createFormat:()=>ko,createFraction:()=>Or,createFractionClass:()=>et,createFunctionAssignmentNode:()=>$f,createFunctionNode:()=>ul,createGamma:()=>_p,createGasConstant:()=>_h,createGcd:()=>Qn,createGetMatrixDataType:()=>Ta,createGravitationConstant:()=>Km,createGravity:()=>Uh,createHartreeEnergy:()=>yh,createHasNumericValue:()=>cr,createHelp:()=>Ll,createHelpClass:()=>Il,createHex:()=>zo,createHypot:()=>ef,createI:()=>Zm,createIdentity:()=>_a,createIfft:()=>wo,createIm:()=>ra,createImmutableDenseMatrixClass:()=>us,createIndex:()=>uf,createIndexClass:()=>ss,createIndexNode:()=>Gf,createIndexTransform:()=>rd,createInfinity:()=>Im,createIntersect:()=>ip,createInv:()=>Gl,createInverseConductanceQuantum:()=>ch,createInvmod:()=>Ei,createIsInteger:()=>Qt,createIsNaN:()=>dr,createIsNegative:()=>ar,createIsNumeric:()=>ur,createIsPositive:()=>lr,createIsPrime:()=>$o,createIsZero:()=>mr,createKldivergence:()=>jp,createKlitzing:()=>ph,createKron:()=>Ia,createLN10:()=>Um,createLN2:()=>Lm,createLOG10E:()=>Hm,createLOG2E:()=>$m,createLarger:()=>Gu,createLargerEq:()=>Wu,createLcm:()=>ti,createLeafCount:()=>fm,createLeftShift:()=>yu,createLgamma:()=>Ip,createLog:()=>Xo,createLog10:()=>ni,createLog1p:()=>Ko,createLog2:()=>ai,createLoschmidt:()=>Bh,createLsolve:()=>su,createLsolveAll:()=>pu,createLup:()=>gl,createLusolve:()=>kl,createMad:()=>pp,createMagneticConstant:()=>rh,createMagneticFluxQuantum:()=>fh,createMap:()=>Ra,createMapTransform:()=>nd,createMatrix:()=>Br,createMatrixClass:()=>rt,createMatrixFromColumns:()=>Pr,createMatrixFromFunction:()=>kr,createMatrixFromRows:()=>zr,createMax:()=>as,createMaxTransform:()=>od,createMean:()=>cp,createMeanTransform:()=>ud,createMedian:()=>lp,createMin:()=>os,createMinTransform:()=>sd,createMod:()=>si,createMode:()=>Fo,createMolarMass:()=>Ph,createMolarMassC12:()=>Lh,createMolarPlanckConstant:()=>kh,createMolarVolume:()=>Ih,createMultinomial:()=>Lp,createMultiply:()=>li,createMultiplyScalar:()=>ci,createNaN:()=>Rm,createNeutronMass:()=>wh,createNode:()=>cf,createNorm:()=>rf,createNot:()=>ca,createNthRoot:()=>mi,createNthRoots:()=>tu,createNuclearMagneton:()=>lh,createNull:()=>km,createNumber:()=>Dr,createNumeric:()=>Ho,createObjectNode:()=>Zf,createOct:()=>Ro,createOnes:()=>Pa,createOperatorNode:()=>Jf,createOr:()=>fa,createParenthesisNode:()=>Xf,createParse:()=>cl,createParser:()=>vl,createParserClass:()=>hl,createPartitionSelect:()=>rs,createPermutations:()=>$p,createPhi:()=>Pm,createPi:()=>zm,createPickRandom:()=>Jp,createPinv:()=>Zl,createPlanckCharge:()=>Vh,createPlanckConstant:()=>eh,createPlanckLength:()=>$h,createPlanckMass:()=>Hh,createPlanckTemperature:()=>Zh,createPlanckTime:()=>Gh,createPow:()=>Zo,createPrint:()=>jo,createProd:()=>Bo,createProtonMass:()=>xh,createQr:()=>yl,createQuantileSeq:()=>vp,createQuantumOfCirculation:()=>Nh,createRandom:()=>Qp,createRandomInt:()=>em,createRange:()=>Ga,createRangeClass:()=>tt,createRangeNode:()=>Kf,createRangeTransform:()=>cd,createRationalize:()=>Sm,createRe:()=>na,createReducedPlanckConstant:()=>th,createRelationalNode:()=>tl,createReplacer:()=>Mm,createReshape:()=>Za,createResize:()=>Ja,createResolve:()=>bm,createResultSet:()=>We,createReviver:()=>Cm,createRightArithShift:()=>bu,createRightLogShift:()=>Nu,createRotate:()=>Xa,createRotationMatrix:()=>Ka,createRound:()=>Yo,createRow:()=>eo,createRowTransform:()=>fd,createRydberg:()=>Dh,createSQRT1_2:()=>Gm,createSQRT2:()=>Vm,createSackurTetrode:()=>Rh,createSec:()=>Ec,createSech:()=>Sc,createSecondRadiation:()=>zh,createSetCartesian:()=>_c,createSetDifference:()=>Ic,createSetDistinct:()=>zc,createSetIntersect:()=>jc,createSetIsSubset:()=>Lc,createSetMultiplicity:()=>$c,createSetPowerset:()=>Gc,createSetSize:()=>Zc,createSetSymDifference:()=>Jc,createSetUnion:()=>Xc,createSign:()=>di,createSimplify:()=>hm,createSimplifyConstant:()=>gm,createSimplifyCore:()=>xm,createSin:()=>Cc,createSinh:()=>Fc,createSize:()=>ro,createSlu:()=>Tl,createSmaller:()=>ju,createSmallerEq:()=>Uu,createSort:()=>is,createSpaClass:()=>fs,createSparse:()=>Es,createSparseMatrixClass:()=>Nr,createSpeedOfLight:()=>Qm,createSplitUnit:()=>Ur,createSqrt:()=>vi,createSqrtm:()=>ep,createSquare:()=>yi,createSqueeze:()=>io,createStd:()=>gp,createStdTransform:()=>dd,createStefanBoltzmann:()=>qh,createStirlingS2:()=>rm,createString:()=>Ar,createSubset:()=>oo,createSubsetTransform:()=>ld,createSubtract:()=>bi,createSum:()=>ap,createSumTransform:()=>vd,createSymbolNode:()=>rl,createSymbolicEqual:()=>Nm,createTan:()=>Oc,createTanh:()=>Tc,createTau:()=>qm,createThomsonCrossSection:()=>Eh,createTo:()=>Lo,createTrace:()=>af,createTranspose:()=>po,createTrue:()=>Bm,createTypeOf:()=>gr,createTyped:()=>He,createUnaryMinus:()=>mn,createUnaryPlus:()=>dn,createUnequal:()=>Ku,createUnitClass:()=>bs,createUnitFunction:()=>Ns,createUppercaseE:()=>Jm,createUppercasePi:()=>Wm,createUsolve:()=>fu,createUsolveAll:()=>hu,createVacuumImpedance:()=>ih,createVariance:()=>dp,createVarianceTransform:()=>bd,createVersion:()=>Ym,createWeakMixingAngle:()=>Ah,createWienDisplacement:()=>jh,createXgcd:()=>Ni,createXor:()=>la,createZeros:()=>go}),r(4916),r(7601),r(9653),r(6699),r(5212),r(1539),r(2023),r(489),r(9753),r(3710),r(4603),r(8450),r(8386),r(9714),r(8309);var f=Array.isArray;function l(e){return e&&!0===e.constructor.prototype.isMatrix||!1}function p(e){return Array.isArray(e)||l(e)}function m(e){return e&&e.isDenseMatrix&&!0===e.constructor.prototype.isMatrix||!1}function h(e){return e&&e.isSparseMatrix&&!0===e.constructor.prototype.isMatrix||!1}function d(e){return e&&!0===e.constructor.prototype.isRange||!1}function v(e){return e&&!0===e.constructor.prototype.isIndex||!1}function g(e){return"boolean"==typeof e}function y(e){return e&&!0===e.constructor.prototype.isResultSet||!1}function x(e){return e&&!0===e.constructor.prototype.isHelp||!1}function b(e){return"function"==typeof e}function w(e){return e instanceof Date}function N(e){return e instanceof RegExp}function D(e){return!(!e||"object"!==t(e)||e.constructor!==Object||o(e)||u(e))}function E(e){return null===e}function A(e){return void 0===e}function S(e){return e&&!0===e.isAccessorNode&&!0===e.constructor.prototype.isNode||!1}function C(e){return e&&!0===e.isArrayNode&&!0===e.constructor.prototype.isNode||!1}function M(e){return e&&!0===e.isAssignmentNode&&!0===e.constructor.prototype.isNode||!1}function F(e){return e&&!0===e.isBlockNode&&!0===e.constructor.prototype.isNode||!1}function O(e){return e&&!0===e.isConditionalNode&&!0===e.constructor.prototype.isNode||!1}function T(e){return e&&!0===e.isConstantNode&&!0===e.constructor.prototype.isNode||!1}function B(e){return T(e)||q(e)&&1===e.args.length&&T(e.args[0])&&"-+~".includes(e.op)}function _(e){return e&&!0===e.isFunctionAssignmentNode&&!0===e.constructor.prototype.isNode||!1}function k(e){return e&&!0===e.isFunctionNode&&!0===e.constructor.prototype.isNode||!1}function I(e){return e&&!0===e.isIndexNode&&!0===e.constructor.prototype.isNode||!1}function R(e){return e&&!0===e.isNode&&!0===e.constructor.prototype.isNode||!1}function z(e){return e&&!0===e.isObjectNode&&!0===e.constructor.prototype.isNode||!1}function q(e){return e&&!0===e.isOperatorNode&&!0===e.constructor.prototype.isNode||!1}function j(e){return e&&!0===e.isParenthesisNode&&!0===e.constructor.prototype.isNode||!1}function P(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 U(e){return e&&!0===e.constructor.prototype.isChain||!1}function $(e){var r=t(e);return"object"===r?null===e?"null":a(e)?"BigNumber":e.constructor&&e.constructor.name?e.constructor.name:"Object":r}var H=r(2287);function G(e){return"boolean"==typeof e||!!isFinite(e)&&e===Math.round(e)}r(2420),r(4914),r(658),r(197),r(3484),r(5890),r(2222),r(5306),r(4723),r(4678),r(2772),r(1249),r(3123),r(1058),r(9600),r(7042),r(561),r(3299),r(9752),r(2376),r(3181),r(8621),r(160),r(970);var V=Math.sign||function(e){return e>0?1:e<0?-1:0},Z=Math.log2||function(e){return Math.log(e)/Math.LN2},W=Math.log10||function(e){return Math.log(e)/Math.LN10},J=Math.log1p||function(e){return Math.log(e+1)},Y=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},X=Math.expm1||function(e){return e>=2e-4||e<=-2e-4?Math.exp(e)-1:e+e*e/2+e*e*e/6};function Q(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(!G(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(!G(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 K(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,a="auto";if(t&&(t.notation&&(a=t.notation),i(t)?r=t:i(t.precision)&&(r=t.precision),t.wordSize&&"number"!=typeof(n=t.wordSize)))throw new Error('Option "wordSize" must be a number');switch(a){case"fixed":return te(e,r);case"exponential":return re(e,r);case"engineering":return function(e,t){if(isNaN(e)||!isFinite(e))return String(e);var r=ne(ee(e),t),n=r.exponent,a=r.coefficients,o=n%3==0?n:n<0?n-3-n%3:n-n%3;if(i(t))for(;t>a.length||n-o+1>a.length;)a.push(0);else for(var u=Math.abs(n-o)-(a.length-1),s=0;s<u;s++)a.push(0);for(var c=Math.abs(n-o),f=1;c>0;)f++,c--;var l=a.slice(f).join(""),p=i(t)&&l.length||l.match(/[1-9]/)?"."+l:"",m=a.slice(0,f).join("")+p+"e"+(n>=0?"+":"")+o.toString();return r.sign+m}(e,r);case"bin":return Q(e,2,n);case"oct":return Q(e,8,n);case"hex":return Q(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=ee(e),o=t?ne(a,t):a;if(o.exponent<n||o.exponent>=i)return re(e,t);var u=o.coefficients,s=o.exponent;u.length<t&&(u=u.concat(ie(t-u.length))),u=u.concat(ie(s-u.length+1+(u.length<t?t-u.length:0)));var c=s>0?s:0;return c<(u=ie(-s).concat(u)).length-1&&u.splice(c+1,0,"."),o.sign+u.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 "'+a+'". Choose "auto", "exponential", "fixed", "bin", "oct", or "hex.')}}function ee(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 te(e,t){if(isNaN(e)||!isFinite(e))return String(e);var r=ee(e),n="number"==typeof t?ne(r,r.exponent+1+t):r,i=n.coefficients,a=n.exponent+1,o=a+(t||0);return i.length<o&&(i=i.concat(ie(o-i.length))),a<0&&(i=ie(1-a).concat(i),a=1),a<i.length&&i.splice(a,0,0===a?"0.":"."),n.sign+i.join("")}function re(e,t){if(isNaN(e)||!isFinite(e))return String(e);var r=ee(e),n=t?ne(r,t):r,i=n.coefficients,a=n.exponent;i.length<t&&(i=i.concat(ie(t-i.length)));var o=i.shift();return n.sign+o+(i.length>0?"."+i.join(""):"")+"e"+(a>=0?"+":"")+a}function ne(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 ie(e){for(var t=[],r=0;r<e;r++)t.push(0);return t}var ae=Number.EPSILON||2220446049250313e-31;function oe(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<ae||n<=Math.max(Math.abs(e),Math.abs(t))*r}return!1}var ue=Math.acosh||function(e){return Math.log(Math.sqrt(e*e-1)+e)},se=Math.asinh||function(e){return Math.log(Math.sqrt(e*e+1)+e)},ce=Math.atanh||function(e){return Math.log((1+e)/(1-e))/2},fe=Math.cosh||function(e){return(Math.exp(e)+Math.exp(-e))/2},le=Math.sinh||function(e){return(Math.exp(e)-Math.exp(-e))/2},pe=Math.tanh||function(e){var t=Math.exp(2*e);return(t-1)/(t+1)};function me(e){var r=t(e);if("number"===r||"string"===r||"boolean"===r||null==e)return e;if("function"==typeof e.clone)return e.clone();if(Array.isArray(e))return e.map((function(e){return me(e)}));if(e instanceof Date)return new Date(e.valueOf());if(a(e))return e;if(e instanceof RegExp)throw new TypeError("Cannot clone "+e);return he(e,me)}function he(e,t){var r={};for(var n in e)we(e,n)&&(r[n]=t(e[n]));return r}function de(e,t){for(var r in t)we(t,r)&&(e[r]=t[r]);return e}function ve(e,t){if(Array.isArray(t))throw new TypeError("Arrays are not supported by deepExtend");for(var r in t)if(we(t,r)&&!(r in Object.prototype)&&!(r in Function.prototype))if(t[r]&&t[r].constructor===Object)void 0===e[r]&&(e[r]={}),e[r]&&e[r].constructor===Object?ve(e[r],t[r]):e[r]=t[r];else{if(Array.isArray(t[r]))throw new TypeError("Arrays are not supported by deepExtend");e[r]=t[r]}return e}function ge(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(!ge(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)||!ge(e[r],t[r]))return!1;for(r in t)if(!(r in e))return!1;return!0}return e===t}function ye(e){var t={};return xe(e,t),t}function xe(e,r){for(var n in e)if(we(e,n)){var i=e[n];"object"===t(i)&&null!==i?xe(i,r):r[n]=i}}function be(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 we(e,t){return e&&Object.hasOwnProperty.call(e,t)}function Ne(e){return Object.keys(e).map((function(t){return e[t]}))}function De(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(Ae));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 Ee(e){return"function"==typeof e&&"string"==typeof e.fn&&Array.isArray(e.dependencies)}function Ae(e){return e&&"?"===e[0]?e.slice(1):e}function Se(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")}function Ce(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)}}function Me(e,t,r){return t&&Ce(e.prototype,t),r&&Ce(e,r),Object.defineProperty(e,"prototype",{writable:!1}),e}function Fe(e,t){if(_e(e)&&Te(e,t))return e[t];if("function"==typeof e[t]&&Be(e,t))throw new Error('Cannot access method "'+t+'" as a property');throw new Error('No access to property "'+t+'"')}function Oe(e,t,r){if(_e(e)&&Te(e,t))return e[t]=r,r;throw new Error('No access to property "'+t+'"')}function Te(e,r){return!(!e||"object"!==t(e)||!we(ke,r)&&(r in Object.prototype||r in Function.prototype))}function Be(e,t){return!(null==e||"function"!=typeof e[t]||we(e,t)&&Object.getPrototypeOf&&t in Object.getPrototypeOf(e)||!we(Ie,t)&&(t in Object.prototype||t in Function.prototype))}function _e(e){return"object"===t(e)&&e&&e.constructor===Object}r(2707),r(9554),r(4747),r(7327),r(6541),r(9070),r(7941),r(6992),r(1532),r(8783),r(3948),r(1038),r(2526),r(1817),r(2165);var ke={length:!0,name:!0},Ie={toString:!0,valueOf:!0,toLocaleString:!0};function Re(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(e){if("string"==typeof e)return ze(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)?ze(e,t):void 0}}(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,u=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){u=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(u)throw a}}}}function ze(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 qe=function(){function e(t){Se(this,e),this.wrappedObject=t}return Me(e,[{key:"keys",value:function(){return Object.keys(this.wrappedObject)}},{key:"get",value:function(e){return Fe(this.wrappedObject,e)}},{key:"set",value:function(e,t){return Oe(this.wrappedObject,e,t),this}},{key:"has",value:function(e){return e in this.wrappedObject}}]),e}();function je(){return new Map}function Pe(e){if(!e)return je();if(Le(e))return e;if(D(e))return new qe(e);throw new Error("createMap can create maps from objects or Maps")}function Le(e){return!!e&&(e instanceof Map||e instanceof qe||"function"==typeof e.set&&"function"==typeof e.get&&"function"==typeof e.keys&&"function"==typeof e.has)}function Ue(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(Le(o)){var u,s=Re(o.keys());try{for(s.s();!(u=s.n()).done;){var c=u.value;e.set(c,o.get(c))}}catch(e){s.e(e)}finally{s.f()}}else if(D(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 $e=function(){return $e=H.create,H},He=De("typed",["?BigNumber","?Complex","?DenseMatrix","?Fraction"],(function(e){var t=e.BigNumber,r=e.Complex,n=e.DenseMatrix,B=e.Fraction,$=$e();return $.clear(),$.addTypes([{name:"number",test:i},{name:"Complex",test:o},{name:"BigNumber",test:a},{name:"Fraction",test:u},{name:"Unit",test:s},{name:"identifier",test:function(e){return c&&/^(?:[A-Za-z\xAA\xB5\xBA\xC0-\xD6\xD8-\xF6\xF8-\u02C1\u02C6-\u02D1\u02E0-\u02E4\u02EC\u02EE\u0370-\u0374\u0376\u0377\u037A-\u037D\u037F\u0386\u0388-\u038A\u038C\u038E-\u03A1\u03A3-\u03F5\u03F7-\u0481\u048A-\u052F\u0531-\u0556\u0559\u0560-\u0588\u05D0-\u05EA\u05EF-\u05F2\u0620-\u064A\u066E\u066F\u0671-\u06D3\u06D5\u06E5\u06E6\u06EE\u06EF\u06FA-\u06FC\u06FF\u0710\u0712-\u072F\u074D-\u07A5\u07B1\u07CA-\u07EA\u07F4\u07F5\u07FA\u0800-\u0815\u081A\u0824\u0828\u0840-\u0858\u0860-\u086A\u0870-\u0887\u0889-\u088E\u08A0-\u08C9\u0904-\u0939\u093D\u0950\u0958-\u0961\u0971-\u0980\u0985-\u098C\u098F\u0990\u0993-\u09A8\u09AA-\u09B0\u09B2\u09B6-\u09B9\u09BD\u09CE\u09DC\u09DD\u09DF-\u09E1\u09F0\u09F1\u09FC\u0A05-\u0A0A\u0A0F\u0A10\u0A13-\u0A28\u0A2A-\u0A30\u0A32\u0A33\u0A35\u0A36\u0A38\u0A39\u0A59-\u0A5C\u0A5E\u0A72-\u0A74\u0A85-\u0A8D\u0A8F-\u0A91\u0A93-\u0AA8\u0AAA-\u0AB0\u0AB2\u0AB3\u0AB5-\u0AB9\u0ABD\u0AD0\u0AE0\u0AE1\u0AF9\u0B05-\u0B0C\u0B0F\u0B10\u0B13-\u0B28\u0B2A-\u0B30\u0B32\u0B33\u0B35-\u0B39\u0B3D\u0B5C\u0B5D\u0B5F-\u0B61\u0B71\u0B83\u0B85-\u0B8A\u0B8E-\u0B90\u0B92-\u0B95\u0B99\u0B9A\u0B9C\u0B9E\u0B9F\u0BA3\u0BA4\u0BA8-\u0BAA\u0BAE-\u0BB9\u0BD0\u0C05-\u0C0C\u0C0E-\u0C10\u0C12-\u0C28\u0C2A-\u0C39\u0C3D\u0C58-\u0C5A\u0C5D\u0C60\u0C61\u0C80\u0C85-\u0C8C\u0C8E-\u0C90\u0C92-\u0CA8\u0CAA-\u0CB3\u0CB5-\u0CB9\u0CBD\u0CDD\u0CDE\u0CE0\u0CE1\u0CF1\u0CF2\u0D04-\u0D0C\u0D0E-\u0D10\u0D12-\u0D3A\u0D3D\u0D4E\u0D54-\u0D56\u0D5F-\u0D61\u0D7A-\u0D7F\u0D85-\u0D96\u0D9A-\u0DB1\u0DB3-\u0DBB\u0DBD\u0DC0-\u0DC6\u0E01-\u0E30\u0E32\u0E33\u0E40-\u0E46\u0E81\u0E82\u0E84\u0E86-\u0E8A\u0E8C-\u0EA3\u0EA5\u0EA7-\u0EB0\u0EB2\u0EB3\u0EBD\u0EC0-\u0EC4\u0EC6\u0EDC-\u0EDF\u0F00\u0F40-\u0F47\u0F49-\u0F6C\u0F88-\u0F8C\u1000-\u102A\u103F\u1050-\u1055\u105A-\u105D\u1061\u1065\u1066\u106E-\u1070\u1075-\u1081\u108E\u10A0-\u10C5\u10C7\u10CD\u10D0-\u10FA\u10FC-\u1248\u124A-\u124D\u1250-\u1256\u1258\u125A-\u125D\u1260-\u1288\u128A-\u128D\u1290-\u12B0\u12B2-\u12B5\u12B8-\u12BE\u12C0\u12C2-\u12C5\u12C8-\u12D6\u12D8-\u1310\u1312-\u1315\u1318-\u135A\u1380-\u138F\u13A0-\u13F5\u13F8-\u13FD\u1401-\u166C\u166F-\u167F\u1681-\u169A\u16A0-\u16EA\u16F1-\u16F8\u1700-\u1711\u171F-\u1731\u1740-\u1751\u1760-\u176C\u176E-\u1770\u1780-\u17B3\u17D7\u17DC\u1820-\u1878\u1880-\u1884\u1887-\u18A8\u18AA\u18B0-\u18F5\u1900-\u191E\u1950-\u196D\u1970-\u1974\u1980-\u19AB\u19B0-\u19C9\u1A00-\u1A16\u1A20-\u1A54\u1AA7\u1B05-\u1B33\u1B45-\u1B4C\u1B83-\u1BA0\u1BAE\u1BAF\u1BBA-\u1BE5\u1C00-\u1C23\u1C4D-\u1C4F\u1C5A-\u1C7D\u1C80-\u1C88\u1C90-\u1CBA\u1CBD-\u1CBF\u1CE9-\u1CEC\u1CEE-\u1CF3\u1CF5\u1CF6\u1CFA\u1D00-\u1DBF\u1E00-\u1F15\u1F18-\u1F1D\u1F20-\u1F45\u1F48-\u1F4D\u1F50-\u1F57\u1F59\u1F5B\u1F5D\u1F5F-\u1F7D\u1F80-\u1FB4\u1FB6-\u1FBC\u1FBE\u1FC2-\u1FC4\u1FC6-\u1FCC\u1FD0-\u1FD3\u1FD6-\u1FDB\u1FE0-\u1FEC\u1FF2-\u1FF4\u1FF6-\u1FFC\u2071\u207F\u2090-\u209C\u2102\u2107\u210A-\u2113\u2115\u2119-\u211D\u2124\u2126\u2128\u212A-\u212D\u212F-\u2139\u213C-\u213F\u2145-\u2149\u214E\u2183\u2184\u2C00-\u2CE4\u2CEB-\u2CEE\u2CF2\u2CF3\u2D00-\u2D25\u2D27\u2D2D\u2D30-\u2D67\u2D6F\u2D80-\u2D96\u2DA0-\u2DA6\u2DA8-\u2DAE\u2DB0-\u2DB6\u2DB8-\u2DBE\u2DC0-\u2DC6\u2DC8-\u2DCE\u2DD0-\u2DD6\u2DD8-\u2DDE\u2E2F\u3005\u3006\u3031-\u3035\u303B\u303C\u3041-\u3096\u309D-\u309F\u30A1-\u30FA\u30FC-\u30FF\u3105-\u312F\u3131-\u318E\u31A0-\u31BF\u31F0-\u31FF\u3400-\u4DBF\u4E00-\uA48C\uA4D0-\uA4FD\uA500-\uA60C\uA610-\uA61F\uA62A\uA62B\uA640-\uA66E\uA67F-\uA69D\uA6A0-\uA6E5\uA717-\uA71F\uA722-\uA788\uA78B-\uA7CA\uA7D0\uA7D1\uA7D3\uA7D5-\uA7D9\uA7F2-\uA801\uA803-\uA805\uA807-\uA80A\uA80C-\uA822\uA840-\uA873\uA882-\uA8B3\uA8F2-\uA8F7\uA8FB\uA8FD\uA8FE\uA90A-\uA925\uA930-\uA946\uA960-\uA97C\uA984-\uA9B2\uA9CF\uA9E0-\uA9E4\uA9E6-\uA9EF\uA9FA-\uA9FE\uAA00-\uAA28\uAA40-\uAA42\uAA44-\uAA4B\uAA60-\uAA76\uAA7A\uAA7E-\uAAAF\uAAB1\uAAB5\uAAB6\uAAB9-\uAABD\uAAC0\uAAC2\uAADB-\uAADD\uAAE0-\uAAEA\uAAF2-\uAAF4\uAB01-\uAB06\uAB09-\uAB0E\uAB11-\uAB16\uAB20-\uAB26\uAB28-\uAB2E\uAB30-\uAB5A\uAB5C-\uAB69\uAB70-\uABE2\uAC00-\uD7A3\uD7B0-\uD7C6\uD7CB-\uD7FB\uF900-\uFA6D\uFA70-\uFAD9\uFB00-\uFB06\uFB13-\uFB17\uFB1D\uFB1F-\uFB28\uFB2A-\uFB36\uFB38-\uFB3C\uFB3E\uFB40\uFB41\uFB43\uFB44\uFB46-\uFBB1\uFBD3-\uFD3D\uFD50-\uFD8F\uFD92-\uFDC7\uFDF0-\uFDFB\uFE70-\uFE74\uFE76-\uFEFC\uFF21-\uFF3A\uFF41-\uFF5A\uFF66-\uFFBE\uFFC2-\uFFC7\uFFCA-\uFFCF\uFFD2-\uFFD7\uFFDA-\uFFDC]|\uD800[\uDC00-\uDC0B\uDC0D-\uDC26\uDC28-\uDC3A\uDC3C\uDC3D\uDC3F-\uDC4D\uDC50-\uDC5D\uDC80-\uDCFA\uDE80-\uDE9C\uDEA0-\uDED0\uDF00-\uDF1F\uDF2D-\uDF40\uDF42-\uDF49\uDF50-\uDF75\uDF80-\uDF9D\uDFA0-\uDFC3\uDFC8-\uDFCF]|\uD801[\uDC00-\uDC9D\uDCB0-\uDCD3\uDCD8-\uDCFB\uDD00-\uDD27\uDD30-\uDD63\uDD70-\uDD7A\uDD7C-\uDD8A\uDD8C-\uDD92\uDD94\uDD95\uDD97-\uDDA1\uDDA3-\uDDB1\uDDB3-\uDDB9\uDDBB\uDDBC\uDE00-\uDF36\uDF40-\uDF55\uDF60-\uDF67\uDF80-\uDF85\uDF87-\uDFB0\uDFB2-\uDFBA]|\uD802[\uDC00-\uDC05\uDC08\uDC0A-\uDC35\uDC37\uDC38\uDC3C\uDC3F-\uDC55\uDC60-\uDC76\uDC80-\uDC9E\uDCE0-\uDCF2\uDCF4\uDCF5\uDD00-\uDD15\uDD20-\uDD39\uDD80-\uDDB7\uDDBE\uDDBF\uDE00\uDE10-\uDE13\uDE15-\uDE17\uDE19-\uDE35\uDE60-\uDE7C\uDE80-\uDE9C\uDEC0-\uDEC7\uDEC9-\uDEE4\uDF00-\uDF35\uDF40-\uDF55\uDF60-\uDF72\uDF80-\uDF91]|\uD803[\uDC00-\uDC48\uDC80-\uDCB2\uDCC0-\uDCF2\uDD00-\uDD23\uDE80-\uDEA9\uDEB0\uDEB1\uDF00-\uDF1C\uDF27\uDF30-\uDF45\uDF70-\uDF81\uDFB0-\uDFC4\uDFE0-\uDFF6]|\uD804[\uDC03-\uDC37\uDC71\uDC72\uDC75\uDC83-\uDCAF\uDCD0-\uDCE8\uDD03-\uDD26\uDD44\uDD47\uDD50-\uDD72\uDD76\uDD83-\uDDB2\uDDC1-\uDDC4\uDDDA\uDDDC\uDE00-\uDE11\uDE13-\uDE2B\uDE80-\uDE86\uDE88\uDE8A-\uDE8D\uDE8F-\uDE9D\uDE9F-\uDEA8\uDEB0-\uDEDE\uDF05-\uDF0C\uDF0F\uDF10\uDF13-\uDF28\uDF2A-\uDF30\uDF32\uDF33\uDF35-\uDF39\uDF3D\uDF50\uDF5D-\uDF61]|\uD805[\uDC00-\uDC34\uDC47-\uDC4A\uDC5F-\uDC61\uDC80-\uDCAF\uDCC4\uDCC5\uDCC7\uDD80-\uDDAE\uDDD8-\uDDDB\uDE00-\uDE2F\uDE44\uDE80-\uDEAA\uDEB8\uDF00-\uDF1A\uDF40-\uDF46]|\uD806[\uDC00-\uDC2B\uDCA0-\uDCDF\uDCFF-\uDD06\uDD09\uDD0C-\uDD13\uDD15\uDD16\uDD18-\uDD2F\uDD3F\uDD41\uDDA0-\uDDA7\uDDAA-\uDDD0\uDDE1\uDDE3\uDE00\uDE0B-\uDE32\uDE3A\uDE50\uDE5C-\uDE89\uDE9D\uDEB0-\uDEF8]|\uD807[\uDC00-\uDC08\uDC0A-\uDC2E\uDC40\uDC72-\uDC8F\uDD00-\uDD06\uDD08\uDD09\uDD0B-\uDD30\uDD46\uDD60-\uDD65\uDD67\uDD68\uDD6A-\uDD89\uDD98\uDEE0-\uDEF2\uDFB0]|\uD808[\uDC00-\uDF99]|\uD809[\uDC80-\uDD43]|\uD80B[\uDF90-\uDFF0]|[\uD80C\uD81C-\uD820\uD822\uD840-\uD868\uD86A-\uD86C\uD86F-\uD872\uD874-\uD879\uD880-\uD883][\uDC00-\uDFFF]|\uD80D[\uDC00-\uDC2E]|\uD811[\uDC00-\uDE46]|\uD81A[\uDC00-\uDE38\uDE40-\uDE5E\uDE70-\uDEBE\uDED0-\uDEED\uDF00-\uDF2F\uDF40-\uDF43\uDF63-\uDF77\uDF7D-\uDF8F]|\uD81B[\uDE40-\uDE7F\uDF00-\uDF4A\uDF50\uDF93-\uDF9F\uDFE0\uDFE1\uDFE3]|\uD821[\uDC00-\uDFF7]|\uD823[\uDC00-\uDCD5\uDD00-\uDD08]|\uD82B[\uDFF0-\uDFF3\uDFF5-\uDFFB\uDFFD\uDFFE]|\uD82C[\uDC00-\uDD22\uDD50-\uDD52\uDD64-\uDD67\uDD70-\uDEFB]|\uD82F[\uDC00-\uDC6A\uDC70-\uDC7C\uDC80-\uDC88\uDC90-\uDC99]|\uD835[\uDC00-\uDC54\uDC56-\uDC9C\uDC9E\uDC9F\uDCA2\uDCA5\uDCA6\uDCA9-\uDCAC\uDCAE-\uDCB9\uDCBB\uDCBD-\uDCC3\uDCC5-\uDD05\uDD07-\uDD0A\uDD0D-\uDD14\uDD16-\uDD1C\uDD1E-\uDD39\uDD3B-\uDD3E\uDD40-\uDD44\uDD46\uDD4A-\uDD50\uDD52-\uDEA5\uDEA8-\uDEC0\uDEC2-\uDEDA\uDEDC-\uDEFA\uDEFC-\uDF14\uDF16-\uDF34\uDF36-\uDF4E\uDF50-\uDF6E\uDF70-\uDF88\uDF8A-\uDFA8\uDFAA-\uDFC2\uDFC4-\uDFCB]|\uD837[\uDF00-\uDF1E]|\uD838[\uDD00-\uDD2C\uDD37-\uDD3D\uDD4E\uDE90-\uDEAD\uDEC0-\uDEEB]|\uD839[\uDFE0-\uDFE6\uDFE8-\uDFEB\uDFED\uDFEE\uDFF0-\uDFFE]|\uD83A[\uDC00-\uDCC4\uDD00-\uDD43\uDD4B]|\uD83B[\uDE00-\uDE03\uDE05-\uDE1F\uDE21\uDE22\uDE24\uDE27\uDE29-\uDE32\uDE34-\uDE37\uDE39\uDE3B\uDE42\uDE47\uDE49\uDE4B\uDE4D-\uDE4F\uDE51\uDE52\uDE54\uDE57\uDE59\uDE5B\uDE5D\uDE5F\uDE61\uDE62\uDE64\uDE67-\uDE6A\uDE6C-\uDE72\uDE74-\uDE77\uDE79-\uDE7C\uDE7E\uDE80-\uDE89\uDE8B-\uDE9B\uDEA1-\uDEA3\uDEA5-\uDEA9\uDEAB-\uDEBB]|\uD869[\uDC00-\uDEDF\uDF00-\uDFFF]|\uD86D[\uDC00-\uDF38\uDF40-\uDFFF]|\uD86E[\uDC00-\uDC1D\uDC20-\uDFFF]|\uD873[\uDC00-\uDEA1\uDEB0-\uDFFF]|\uD87A[\uDC00-\uDFE0]|\uD87E[\uDC00-\uDE1D]|\uD884[\uDC00-\uDF4A])(?:[0-9A-Za-z\xAA\xB5\xBA\xC0-\xD6\xD8-\xF6\xF8-\u02C1\u02C6-\u02D1\u02E0-\u02E4\u02EC\u02EE\u0370-\u0374\u0376\u0377\u037A-\u037D\u037F\u0386\u0388-\u038A\u038C\u038E-\u03A1\u03A3-\u03F5\u03F7-\u0481\u048A-\u052F\u0531-\u0556\u0559\u0560-\u0588\u05D0-\u05EA\u05EF-\u05F2\u0620-\u064A\u066E\u066F\u0671-\u06D3\u06D5\u06E5\u06E6\u06EE\u06EF\u06FA-\u06FC\u06FF\u0710\u0712-\u072F\u074D-\u07A5\u07B1\u07CA-\u07EA\u07F4\u07F5\u07FA\u0800-\u0815\u081A\u0824\u0828\u0840-\u0858\u0860-\u086A\u0870-\u0887\u0889-\u088E\u08A0-\u08C9\u0904-\u0939\u093D\u0950\u0958-\u0961\u0971-\u0980\u0985-\u098C\u098F\u0990\u0993-\u09A8\u09AA-\u09B0\u09B2\u09B6-\u09B9\u09BD\u09CE\u09DC\u09DD\u09DF-\u09E1\u09F0\u09F1\u09FC\u0A05-\u0A0A\u0A0F\u0A10\u0A13-\u0A28\u0A2A-\u0A30\u0A32\u0A33\u0A35\u0A36\u0A38\u0A39\u0A59-\u0A5C\u0A5E\u0A72-\u0A74\u0A85-\u0A8D\u0A8F-\u0A91\u0A93-\u0AA8\u0AAA-\u0AB0\u0AB2\u0AB3\u0AB5-\u0AB9\u0ABD\u0AD0\u0AE0\u0AE1\u0AF9\u0B05-\u0B0C\u0B0F\u0B10\u0B13-\u0B28\u0B2A-\u0B30\u0B32\u0B33\u0B35-\u0B39\u0B3D\u0B5C\u0B5D\u0B5F-\u0B61\u0B71\u0B83\u0B85-\u0B8A\u0B8E-\u0B90\u0B92-\u0B95\u0B99\u0B9A\u0B9C\u0B9E\u0B9F\u0BA3\u0BA4\u0BA8-\u0BAA\u0BAE-\u0BB9\u0BD0\u0C05-\u0C0C\u0C0E-\u0C10\u0C12-\u0C28\u0C2A-\u0C39\u0C3D\u0C58-\u0C5A\u0C5D\u0C60\u0C61\u0C80\u0C85-\u0C8C\u0C8E-\u0C90\u0C92-\u0CA8\u0CAA-\u0CB3\u0CB5-\u0CB9\u0CBD\u0CDD\u0CDE\u0CE0\u0CE1\u0CF1\u0CF2\u0D04-\u0D0C\u0D0E-\u0D10\u0D12-\u0D3A\u0D3D\u0D4E\u0D54-\u0D56\u0D5F-\u0D61\u0D7A-\u0D7F\u0D85-\u0D96\u0D9A-\u0DB1\u0DB3-\u0DBB\u0DBD\u0DC0-\u0DC6\u0E01-\u0E30\u0E32\u0E33\u0E40-\u0E46\u0E81\u0E82\u0E84\u0E86-\u0E8A\u0E8C-\u0EA3\u0EA5\u0EA7-\u0EB0\u0EB2\u0EB3\u0EBD\u0EC0-\u0EC4\u0EC6\u0EDC-\u0EDF\u0F00\u0F40-\u0F47\u0F49-\u0F6C\u0F88-\u0F8C\u1000-\u102A\u103F\u1050-\u1055\u105A-\u105D\u1061\u1065\u1066\u106E-\u1070\u1075-\u1081\u108E\u10A0-\u10C5\u10C7\u10CD\u10D0-\u10FA\u10FC-\u1248\u124A-\u124D\u1250-\u1256\u1258\u125A-\u125D\u1260-\u1288\u128A-\u128D\u1290-\u12B0\u12B2-\u12B5\u12B8-\u12BE\u12C0\u12C2-\u12C5\u12C8-\u12D6\u12D8-\u1310\u1312-\u1315\u1318-\u135A\u1380-\u138F\u13A0-\u13F5\u13F8-\u13FD\u1401-\u166C\u166F-\u167F\u1681-\u169A\u16A0-\u16EA\u16F1-\u16F8\u1700-\u1711\u171F-\u1731\u1740-\u1751\u1760-\u176C\u176E-\u1770\u1780-\u17B3\u17D7\u17DC\u1820-\u1878\u1880-\u1884\u1887-\u18A8\u18AA\u18B0-\u18F5\u1900-\u191E\u1950-\u196D\u1970-\u1974\u1980-\u19AB\u19B0-\u19C9\u1A00-\u1A16\u1A20-\u1A54\u1AA7\u1B05-\u1B33\u1B45-\u1B4C\u1B83-\u1BA0\u1BAE\u1BAF\u1BBA-\u1BE5\u1C00-\u1C23\u1C4D-\u1C4F\u1C5A-\u1C7D\u1C80-\u1C88\u1C90-\u1CBA\u1CBD-\u1CBF\u1CE9-\u1CEC\u1CEE-\u1CF3\u1CF5\u1CF6\u1CFA\u1D00-\u1DBF\u1E00-\u1F15\u1F18-\u1F1D\u1F20-\u1F45\u1F48-\u1F4D\u1F50-\u1F57\u1F59\u1F5B\u1F5D\u1F5F-\u1F7D\u1F80-\u1FB4\u1FB6-\u1FBC\u1FBE\u1FC2-\u1FC4\u1FC6-\u1FCC\u1FD0-\u1FD3\u1FD6-\u1FDB\u1FE0-\u1FEC\u1FF2-\u1FF4\u1FF6-\u1FFC\u2071\u207F\u2090-\u209C\u2102\u2107\u210A-\u2113\u2115\u2119-\u211D\u2124\u2126\u2128\u212A-\u212D\u212F-\u2139\u213C-\u213F\u2145-\u2149\u214E\u2183\u2184\u2C00-\u2CE4\u2CEB-\u2CEE\u2CF2\u2CF3\u2D00-\u2D25\u2D27\u2D2D\u2D30-\u2D67\u2D6F\u2D80-\u2D96\u2DA0-\u2DA6\u2DA8-\u2DAE\u2DB0-\u2DB6\u2DB8-\u2DBE\u2DC0-\u2DC6\u2DC8-\u2DCE\u2DD0-\u2DD6\u2DD8-\u2DDE\u2E2F\u3005\u3006\u3031-\u3035\u303B\u303C\u3041-\u3096\u309D-\u309F\u30A1-\u30FA\u30FC-\u30FF\u3105-\u312F\u3131-\u318E\u31A0-\u31BF\u31F0-\u31FF\u3400-\u4DBF\u4E00-\uA48C\uA4D0-\uA4FD\uA500-\uA60C\uA610-\uA61F\uA62A\uA62B\uA640-\uA66E\uA67F-\uA69D\uA6A0-\uA6E5\uA717-\uA71F\uA722-\uA788\uA78B-\uA7CA\uA7D0\uA7D1\uA7D3\uA7D5-\uA7D9\uA7F2-\uA801\uA803-\uA805\uA807-\uA80A\uA80C-\uA822\uA840-\uA873\uA882-\uA8B3\uA8F2-\uA8F7\uA8FB\uA8FD\uA8FE\uA90A-\uA925\uA930-\uA946\uA960-\uA97C\uA984-\uA9B2\uA9CF\uA9E0-\uA9E4\uA9E6-\uA9EF\uA9FA-\uA9FE\uAA00-\uAA28\uAA40-\uAA42\uAA44-\uAA4B\uAA60-\uAA76\uAA7A\uAA7E-\uAAAF\uAAB1\uAAB5\uAAB6\uAAB9-\uAABD\uAAC0\uAAC2\uAADB-\uAADD\uAAE0-\uAAEA\uAAF2-\uAAF4\uAB01-\uAB06\uAB09-\uAB0E\uAB11-\uAB16\uAB20-\uAB26\uAB28-\uAB2E\uAB30-\uAB5A\uAB5C-\uAB69\uAB70-\uABE2\uAC00-\uD7A3\uD7B0-\uD7C6\uD7CB-\uD7FB\uF900-\uFA6D\uFA70-\uFAD9\uFB00-\uFB06\uFB13-\uFB17\uFB1D\uFB1F-\uFB28\uFB2A-\uFB36\uFB38-\uFB3C\uFB3E\uFB40\uFB41\uFB43\uFB44\uFB46-\uFBB1\uFBD3-\uFD3D\uFD50-\uFD8F\uFD92-\uFDC7\uFDF0-\uFDFB\uFE70-\uFE74\uFE76-\uFEFC\uFF21-\uFF3A\uFF41-\uFF5A\uFF66-\uFFBE\uFFC2-\uFFC7\uFFCA-\uFFCF\uFFD2-\uFFD7\uFFDA-\uFFDC]|\uD800[\uDC00-\uDC0B\uDC0D-\uDC26\uDC28-\uDC3A\uDC3C\uDC3D\uDC3F-\uDC4D\uDC50-\uDC5D\uDC80-\uDCFA\uDE80-\uDE9C\uDEA0-\uDED0\uDF00-\uDF1F\uDF2D-\uDF40\uDF42-\uDF49\uDF50-\uDF75\uDF80-\uDF9D\uDFA0-\uDFC3\uDFC8-\uDFCF]|\uD801[\uDC00-\uDC9D\uDCB0-\uDCD3\uDCD8-\uDCFB\uDD00-\uDD27\uDD30-\uDD63\uDD70-\uDD7A\uDD7C-\uDD8A\uDD8C-\uDD92\uDD94\uDD95\uDD97-\uDDA1\uDDA3-\uDDB1\uDDB3-\uDDB9\uDDBB\uDDBC\uDE00-\uDF36\uDF40-\uDF55\uDF60-\uDF67\uDF80-\uDF85\uDF87-\uDFB0\uDFB2-\uDFBA]|\uD802[\uDC00-\uDC05\uDC08\uDC0A-\uDC35\uDC37\uDC38\uDC3C\uDC3F-\uDC55\uDC60-\uDC76\uDC80-\uDC9E\uDCE0-\uDCF2\uDCF4\uDCF5\uDD00-\uDD15\uDD20-\uDD39\uDD80-\uDDB7\uDDBE\uDDBF\uDE00\uDE10-\uDE13\uDE15-\uDE17\uDE19-\uDE35\uDE60-\uDE7C\uDE80-\uDE9C\uDEC0-\uDEC7\uDEC9-\uDEE4\uDF00-\uDF35\uDF40-\uDF55\uDF60-\uDF72\uDF80-\uDF91]|\uD803[\uDC00-\uDC48\uDC80-\uDCB2\uDCC0-\uDCF2\uDD00-\uDD23\uDE80-\uDEA9\uDEB0\uDEB1\uDF00-\uDF1C\uDF27\uDF30-\uDF45\uDF70-\uDF81\uDFB0-\uDFC4\uDFE0-\uDFF6]|\uD804[\uDC03-\uDC37\uDC71\uDC72\uDC75\uDC83-\uDCAF\uDCD0-\uDCE8\uDD03-\uDD26\uDD44\uDD47\uDD50-\uDD72\uDD76\uDD83-\uDDB2\uDDC1-\uDDC4\uDDDA\uDDDC\uDE00-\uDE11\uDE13-\uDE2B\uDE80-\uDE86\uDE88\uDE8A-\uDE8D\uDE8F-\uDE9D\uDE9F-\uDEA8\uDEB0-\uDEDE\uDF05-\uDF0C\uDF0F\uDF10\uDF13-\uDF28\uDF2A-\uDF30\uDF32\uDF33\uDF35-\uDF39\uDF3D\uDF50\uDF5D-\uDF61]|\uD805[\uDC00-\uDC34\uDC47-\uDC4A\uDC5F-\uDC61\uDC80-\uDCAF\uDCC4\uDCC5\uDCC7\uDD80-\uDDAE\uDDD8-\uDDDB\uDE00-\uDE2F\uDE44\uDE80-\uDEAA\uDEB8\uDF00-\uDF1A\uDF40-\uDF46]|\uD806[\uDC00-\uDC2B\uDCA0-\uDCDF\uDCFF-\uDD06\uDD09\uDD0C-\uDD13\uDD15\uDD16\uDD18-\uDD2F\uDD3F\uDD41\uDDA0-\uDDA7\uDDAA-\uDDD0\uDDE1\uDDE3\uDE00\uDE0B-\uDE32\uDE3A\uDE50\uDE5C-\uDE89\uDE9D\uDEB0-\uDEF8]|\uD807[\uDC00-\uDC08\uDC0A-\uDC2E\uDC40\uDC72-\uDC8F\uDD00-\uDD06\uDD08\uDD09\uDD0B-\uDD30\uDD46\uDD60-\uDD65\uDD67\uDD68\uDD6A-\uDD89\uDD98\uDEE0-\uDEF2\uDFB0]|\uD808[\uDC00-\uDF99]|\uD809[\uDC80-\uDD43]|\uD80B[\uDF90-\uDFF0]|[\uD80C\uD81C-\uD820\uD822\uD840-\uD868\uD86A-\uD86C\uD86F-\uD872\uD874-\uD879\uD880-\uD883][\uDC00-\uDFFF]|\uD80D[\uDC00-\uDC2E]|\uD811[\uDC00-\uDE46]|\uD81A[\uDC00-\uDE38\uDE40-\uDE5E\uDE70-\uDEBE\uDED0-\uDEED\uDF00-\uDF2F\uDF40-\uDF43\uDF63-\uDF77\uDF7D-\uDF8F]|\uD81B[\uDE40-\uDE7F\uDF00-\uDF4A\uDF50\uDF93-\uDF9F\uDFE0\uDFE1\uDFE3]|\uD821[\uDC00-\uDFF7]|\uD823[\uDC00-\uDCD5\uDD00-\uDD08]|\uD82B[\uDFF0-\uDFF3\uDFF5-\uDFFB\uDFFD\uDFFE]|\uD82C[\uDC00-\uDD22\uDD50-\uDD52\uDD64-\uDD67\uDD70-\uDEFB]|\uD82F[\uDC00-\uDC6A\uDC70-\uDC7C\uDC80-\uDC88\uDC90-\uDC99]|\uD835[\uDC00-\uDC54\uDC56-\uDC9C\uDC9E\uDC9F\uDCA2\uDCA5\uDCA6\uDCA9-\uDCAC\uDCAE-\uDCB9\uDCBB\uDCBD-\uDCC3\uDCC5-\uDD05\uDD07-\uDD0A\uDD0D-\uDD14\uDD16-\uDD1C\uDD1E-\uDD39\uDD3B-\uDD3E\uDD40-\uDD44\uDD46\uDD4A-\uDD50\uDD52-\uDEA5\uDEA8-\uDEC0\uDEC2-\uDEDA\uDEDC-\uDEFA\uDEFC-\uDF14\uDF16-\uDF34\uDF36-\uDF4E\uDF50-\uDF6E\uDF70-\uDF88\uDF8A-\uDFA8\uDFAA-\uDFC2\uDFC4-\uDFCB]|\uD837[\uDF00-\uDF1E]|\uD838[\uDD00-\uDD2C\uDD37-\uDD3D\uDD4E\uDE90-\uDEAD\uDEC0-\uDEEB]|\uD839[\uDFE0-\uDFE6\uDFE8-\uDFEB\uDFED\uDFEE\uDFF0-\uDFFE]|\uD83A[\uDC00-\uDCC4\uDD00-\uDD43\uDD4B]|\uD83B[\uDE00-\uDE03\uDE05-\uDE1F\uDE21\uDE22\uDE24\uDE27\uDE29-\uDE32\uDE34-\uDE37\uDE39\uDE3B\uDE42\uDE47\uDE49\uDE4B\uDE4D-\uDE4F\uDE51\uDE52\uDE54\uDE57\uDE59\uDE5B\uDE5D\uDE5F\uDE61\uDE62\uDE64\uDE67-\uDE6A\uDE6C-\uDE72\uDE74-\uDE77\uDE79-\uDE7C\uDE7E\uDE80-\uDE89\uDE8B-\uDE9B\uDEA1-\uDEA3\uDEA5-\uDEA9\uDEAB-\uDEBB]|\uD869[\uDC00-\uDEDF\uDF00-\uDFFF]|\uD86D[\uDC00-\uDF38\uDF40-\uDFFF]|\uD86E[\uDC00-\uDC1D\uDC20-\uDFFF]|\uD873[\uDC00-\uDEA1\uDEB0-\uDFFF]|\uD87A[\uDC00-\uDFE0]|\uD87E[\uDC00-\uDE1D]|\uD884[\uDC00-\uDF4A])*$/.test(e)}},{name:"string",test:c},{name:"Chain",test:U},{name:"Array",test:f},{name:"Matrix",test:l},{name:"DenseMatrix",test:m},{name:"SparseMatrix",test:h},{name:"Range",test:d},{name:"Index",test:v},{name:"boolean",test:g},{name:"ResultSet",test:y},{name:"Help",test:x},{name:"function",test:b},{name:"Date",test:w},{name:"RegExp",test:N},{name:"null",test:E},{name:"undefined",test:A},{name:"AccessorNode",test:S},{name:"ArrayNode",test:C},{name:"AssignmentNode",test:M},{name:"BlockNode",test:F},{name:"ConditionalNode",test:O},{name:"ConstantNode",test:T},{name:"FunctionNode",test:k},{name:"FunctionAssignmentNode",test:_},{name:"IndexNode",test:I},{name:"Node",test:R},{name:"ObjectNode",test:z},{name:"OperatorNode",test:q},{name:"ParenthesisNode",test:j},{name:"RangeNode",test:P},{name:"SymbolNode",test:L},{name:"Map",test:Le},{name:"Object",test:D}]),$.addConversions([{from:"number",to:"BigNumber",convert:function(e){if(t||Ge(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||Ve(e),new r(e,0)}},{from:"BigNumber",to:"Complex",convert:function(e){return r||Ve(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||Ve(e),new r(e.valueOf(),0)}},{from:"number",to:"Fraction",convert:function(e){B||Ze(e);var t=new B(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||Ge(e);try{return new t(e)}catch(t){throw new Error('Cannot convert "'+e+'" to BigNumber')}}},{from:"string",to:"Fraction",convert:function(e){B||Ze(e);try{return new B(e)}catch(t){throw new Error('Cannot convert "'+e+'" to Fraction')}}},{from:"string",to:"Complex",convert:function(e){r||Ve(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||Ge(e),new t(+e)}},{from:"boolean",to:"Fraction",convert:function(e){return B||Ze(e),new B(+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()}}]),$.onMismatch=function(e,t,r){var n=$.createError(e,t,r);if(["wrongType","mismatch"].includes(n.data.category)&&1===t.length&&p(t[0])&&r.some((function(e){return!e.params.includes(",")}))){var i=new TypeError("Function '".concat(e,"' doesn't apply to matrices. To call it ")+"elementwise on a matrix 'M', try 'map(M, ".concat(e,")'."));throw i.data=n.data,i}throw n},$.onMismatch=function(e,t,r){var n=$.createError(e,t,r);if(["wrongType","mismatch"].includes(n.data.category)&&1===t.length&&p(t[0])&&r.some((function(e){return!e.params.includes(",")}))){var i=new TypeError("Function '".concat(e,"' doesn't apply to matrices. To call it ")+"elementwise on a matrix 'M', try 'map(M, ".concat(e,")'."));throw i.data=n.data,i}throw n},$}));function Ge(e){throw new Error("Cannot convert value ".concat(e," into a BigNumber: no class 'BigNumber' provided"))}function Ve(e){throw new Error("Cannot convert value ".concat(e," into a Complex number: no class 'Complex' provided"))}function Ze(e){throw new Error("Cannot convert value ".concat(e," into a Fraction, no class 'Fraction' provided."))}r(5735),r(3753);var We=De("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}),Je=(r(8011),r(3776)),Ye=De("BigNumber",["?on","config"],(function(e){var t=e.on,r=e.config,n=Je.clone({precision:r.precision,modulo:Je.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}),Xe=r(1977),Qe=De("Complex",[],(function(){return Object.defineProperty(Xe,"name",{value:"Complex"}),Xe.prototype.constructor=Xe,Xe.prototype.type="Complex",Xe.prototype.isComplex=!0,Xe.prototype.toJSON=function(){return{mathjs:"Complex",re:this.re,im:this.im}},Xe.prototype.toPolar=function(){return{r:this.abs(),phi:this.arg()}},Xe.prototype.format=function(e){var t=this.im,r=this.re,n=K(this.re,e),a=K(this.im,e),o=i(e)?e:e?e.precision:null;if(null!==o){var u=Math.pow(10,-o);Math.abs(r/t)<u&&(r=0),Math.abs(t/r)<u&&(t=0)}return 0===t?n:0===r?1===t?"i":-1===t?"-i":a+"i":t<0?-1===t?n+" - i":n+" - "+a.substring(1)+"i":1===t?n+" + i":n+" + "+a+"i"},Xe.fromPolar=function(e){switch(arguments.length){case 1:var r=arguments[0];if("object"===t(r))return Xe(r);throw new TypeError("Input has to be an object with r and phi keys.");case 2:var n=arguments[0],a=arguments[1];if(i(n)){if(s(a)&&a.hasBase("ANGLE")&&(a=a.toNumber("rad")),i(a))return new Xe({r:n,phi:a});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")}},Xe.prototype.valueOf=Xe.prototype.toString,Xe.fromJSON=function(e){return new Xe(e)},Xe.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},Xe}),{isClass:!0}),Ke=r(5628),et=De("Fraction",[],(function(){return Object.defineProperty(Ke,"name",{value:"Fraction"}),Ke.prototype.constructor=Ke,Ke.prototype.type="Fraction",Ke.prototype.isFraction=!0,Ke.prototype.toJSON=function(){return{mathjs:"Fraction",n:this.s*this.n,d:this.d}},Ke.fromJSON=function(e){return new Ke(e)},Ke}),{isClass:!0}),tt=(r(8674),De("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,o=null!=r,u=null!=n;if(i)if(a(t))t=t.toNumber();else if("number"!=typeof t)throw new TypeError("Parameter start must be a number");if(o)if(a(r))r=r.toNumber();else if("number"!=typeof r)throw new TypeError("Parameter end must be a number");if(u)if(a(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=o?parseFloat(r):0,this.step=u?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 V(r)===V(n)?e=Math.ceil(n/r):0===n&&(e=0),isNaN(e)&&(e=0),[e]},e.prototype.min=function(){var e=this.size()[0];return e>0?this.step>0?this.start:this.start+(e-1)*this.step:void 0},e.prototype.max=function(){var e=this.size()[0];return e>0?this.step>0?this.start+(e-1)*this.step:this.start:void 0},e.prototype.forEach=function(e){var t=this.start,r=this.step,n=this.end,i=0;if(r>0)for(;t<n;)e(t,[i],this),t+=r,i++;else if(r<0)for(;t>n;)e(t,[i],this),t+=r,i++},e.prototype.map=function(e){var t=[];return this.forEach((function(r,n,i){t[n[0]]=e(r,n,i)})),t},e.prototype.toArray=function(){var e=[];return this.forEach((function(t,r){e[r[0]]=t})),e},e.prototype.valueOf=function(){return this.toArray()},e.prototype.format=function(e){var t=K(this.start,e);return 1!==this.step&&(t+=":"+K(this.step,e)),t+":"+K(this.end,e)},e.prototype.toString=function(){return this.format()},e.prototype.toJSON=function(){return{mathjs:"Range",start:this.start,end:this.end,step:this.step}},e.fromJSON=function(t){return new e(t.start,t.end,t.step)},e}),{isClass:!0})),rt=De("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}),nt=r(4687);function it(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(!G(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 at(e,t){return void 0!==t?e.toExponential(t-1):e.toExponential()}function ot(e,t){var r=e.length-t.length,n=e.length;return e.substring(r,n)===t}function ut(e,r){var n=function(e,r){return"number"==typeof e?K(e,r):a(e)?function(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 at(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);return-1!==a.indexOf("e")&&(a=i.toString()),a+"e"+(r>=0?"+":"")+n.toString()}(e,r);case"bin":return it(e,2,n);case"oct":return it(e,8,n);case"hex":return it(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 u=e.toSignificantDigits(r),s=u.e;return(s>=a&&s<o?u.toFixed():at(e,r)).replace(/((\.\d*?)(0+))($|e)/,(function(){var e=arguments[2],t=arguments[4];return"."!==e?e+t:t}));default:throw new Error('Unknown notation "'+i+'". Choose "auto", "exponential", "fixed", "bin", "oct", or "hex.')}}(e,r):function(e){return e&&"object"===t(e)&&"number"==typeof e.s&&"number"==typeof e.n&&"number"==typeof e.d||!1}(e)?r&&"decimal"===r.fraction?e.toString():e.s*e.n+"/"+e.d:Array.isArray(e)?ft(e,r):c(e)?'"'+e+'"':"function"==typeof e?e.syntax?String(e.syntax):"function":e&&"object"===t(e)?"function"==typeof e.format?e.format(r):e&&e.toString(r)!=={}.toString()?e.toString(r):"{"+Object.keys(e).map((function(t){return'"'+t+'": '+ut(e[t],r)})).join(", ")+"}":String(e)}(e,r);return r&&"object"===t(r)&&"truncate"in r&&n.length>r.truncate?n.substring(0,r.truncate-3)+"...":n}function st(e){for(var t=String(e),r="",n=0;n<t.length;){var i=t.charAt(n);"\\"===i?(r+=i,n++,""!==(i=t.charAt(n))&&-1!=='"\\/bfnrtu'.indexOf(i)||(r+="\\"),r+=i):r+='"'===i?'\\"':i,n++}return'"'+r+'"'}function ct(e){var t=String(e);return t.replace(/&/g,"&amp;").replace(/"/g,"&quot;").replace(/'/g,"&#39;").replace(/</g,"&lt;").replace(/>/g,"&gt;")}function ft(e,t){if(Array.isArray(e)){for(var r="[",n=e.length,i=0;i<n;i++)0!==i&&(r+=", "),r+=ft(e[i],t);return r+"]"}return ut(e,t)}function lt(e,t){if(!c(e))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+$(e)+", index: 0)");if(!c(t))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+$(t)+", index: 1)");return e===t?0:e>t?1:-1}function pt(e,t,r){if(!(this instanceof pt))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 mt(e,t,r){if(!(this instanceof mt))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 ht(e){for(var t=[];Array.isArray(e);)t.push(e.length),e=e[0];return t}function dt(e,t,r){var n,i=e.length;if(i!==t[r])throw new pt(i,t[r]);if(r<t.length-1){var a=r+1;for(n=0;n<i;n++){var o=e[n];if(!Array.isArray(o))throw new pt(t.length-1,t.length,"<");dt(e[n],t,a)}}else for(n=0;n<i;n++)if(Array.isArray(e[n]))throw new pt(t.length+1,t.length,">")}function vt(e,t){if(0===t.length){if(Array.isArray(e))throw new pt(e.length,0)}else dt(e,t,0)}function gt(e,t){if(!i(e)||!G(e))throw new TypeError("Index must be an integer (value: "+e+")");if(e<0||"number"==typeof t&&e>=t)throw new mt(e,t)}function yt(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(!i(e)||!G(e)||e<0)throw new TypeError("Invalid size, must contain positive integers (size: "+ut(t)+")")})),xt(e,t,0,void 0!==r?r:0),e}function xt(e,t,r,n){var i,a,o=e.length,u=t[r],s=Math.min(o,u);if(e.length=u,r<t.length-1){var c=r+1;for(i=0;i<s;i++)a=e[i],Array.isArray(a)||(a=[a],e[i]=a),xt(a,t,c,n);for(i=s;i<u;i++)a=[],e[i]=a,xt(a,t,c,n)}else{for(i=0;i<s;i++)for(;Array.isArray(e[i]);)e[i]=e[i][0];for(i=s;i<u;i++)e[i]=n}}function bt(e,t){var r=Ct(e),n=r.length;if(!Array.isArray(e)||!Array.isArray(t))throw new TypeError("Array expected");if(0===t.length)throw new pt(0,n,"!=");var i=Nt(t=wt(t,n));if(n!==i)throw new pt(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,u=0;u<o;u++)r.push(n.slice(u*a,(u+1)*a));n=r}return n}(r,t)}catch(e){if(e instanceof pt)throw new pt(i,n,"!=");throw e}}function wt(e,t){var r=Nt(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 Nt(e){return e.reduce((function(e,t){return e*t}),1)}function Dt(e,t){for(var r=t||ht(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=Et(e,n,0),r.length=n),e}function Et(e,t,r){var n,i;if(r<t){var a=r+1;for(n=0,i=e.length;n<i;n++)e[n]=Et(e[n],t,a)}else for(;Array.isArray(e);)e=e[0];return e}function At(e,t,r,n){var i=n||ht(e);if(r)for(var a=0;a<r;a++)e=[e],i.unshift(1);for(e=St(e,t,0);i.length<t;)i.push(1);return e}function St(e,t,r){var n,i;if(Array.isArray(e)){var a=r+1;for(n=0,i=e.length;n<i;n++)e[n]=St(e[n],t,a)}else for(var o=r;o<t;o++)e=[e];return e}function Ct(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 Mt(e,t){return Array.prototype.map.call(e,t)}function Ft(e,t){Array.prototype.forEach.call(e,t)}function Ot(e,t){if(1!==ht(e).length)throw new Error("Only one dimensional matrices supported");return Array.prototype.filter.call(e,t)}function Tt(e,t){if(1!==ht(e).length)throw new Error("Only one dimensional matrices supported");return Array.prototype.filter.call(e,(function(e){return t.test(e)}))}function Bt(e,t){return Array.prototype.join.call(e,t)}function _t(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 kt(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 It(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 u=o?It(a,t):t(a);if(void 0===r)r=u;else if(r!==u)return"mixed"}return r}function Rt(e,t){return-1!==e.indexOf(t)}function zt(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(u){var s=i[u],c=++a;if(n[c]=u,i[u]=c,!s){if(++t<=e)return;return u=n[r],o(u),u}if(delete n[s],r===s)for(;!hasOwnProperty.call(n,++r););},delete:o,clear:function(){t=a=0,r=1,n=Object.create(null),i=Object.create(null)}}}function qt(e){var r=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{},n=r.hasher,i=r.limit;return i=null==i?Number.POSITIVE_INFINITY:i,n=null==n?JSON.stringify:n,function r(){"object"!==t(r.cache)&&(r.cache={values:new Map,lru:zt(i||Number.POSITIVE_INFINITY)});for(var a=[],o=0;o<arguments.length;o++)a[o]=arguments[o];var u=n(a);if(r.cache.values.has(u))return r.cache.lru.hit(u),r.cache.values.get(u);var s=e.apply(e,a);return r.cache.values.set(u,s),r.cache.values.delete(r.cache.lru.hit(u)),s}}function jt(e){return Object.keys(e.signatures||{}).reduce((function(e,t){var r=(t.match(/,/g)||[]).length+1;return Math.max(e,r)}),-1)}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}r(5827),r(86),r(6977),r(5147),pt.prototype=new RangeError,pt.prototype.constructor=RangeError,pt.prototype.name="DimensionError",pt.prototype.isDimensionError=!0,mt.prototype=new RangeError,mt.prototype.constructor=RangeError,mt.prototype.name="IndexError",mt.prototype.isIndexError=!0,r(8862);var Lt=De("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&&!c(t))throw new Error("Invalid datatype: "+t);if(l(e))"DenseMatrix"===e.type?(this._data=me(e._data),this._size=me(e._size),this._datatype=t||e._datatype):(this._data=e.toArray(),this._size=e.size(),this._datatype=t||e._datatype);else if(e&&f(e.data)&&f(e.size))this._data=e.data,this._size=e.size,vt(this._data,this._size),this._datatype=t||e.datatype;else if(f(e))this._data=d(e),this._size=ht(this._data),vt(this._data,this._size),this._datatype=t;else{if(e)throw new TypeError("Unsupported type of data ("+$(e)+")");this._data=[],this._size=[0],this._datatype=t}}function n(e,t){if(!v(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 pt(n.length,e._size.length);for(var i=t.min(),a=t.max(),u=0,s=e._size.length;u<s;u++)gt(i[u],e._size[u]),gt(a[u],e._size[u]);return new r(o(e._data,t,n.length,0),e._datatype)}function o(e,t,r,n){var i=n===r-1,a=t.dimension(n);return i?a.map((function(t){return gt(t,e.length),e[t]})).valueOf():a.map((function(i){return gt(i,e.length),o(e[i],t,r,n+1)})).valueOf()}function u(e,t,r,n){if(!t||!0!==t.isIndex)throw new TypeError("Invalid index");var i,a=t.size(),o=t.isScalar();if(l(r)?(i=r.size(),r=r.valueOf()):i=ht(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 pt(a.length,e._size.length,"<");if(i.length<a.length){for(var u=0,c=0;1===a[u]&&1===i[u];)u++;for(;1===a[u];)c++,u++;r=At(r,a.length,c,i)}if(!ge(a,i))throw new pt(a,i,">");var f=t.max().map((function(e){return e+1}));h(e,f,n);var p=a.length;s(e._data,t,r,p,0)}return e}function s(e,t,r,n,i){var a=i===n-1,o=t.dimension(i);a?o.forEach((function(t,n){gt(t),e[t]=r[n[0]]})):o.forEach((function(a,o){gt(a),s(e[a],t,r[o[0]],n,i+1)}))}function m(e,t,r){if(0===t.length){for(var n=e._data;f(n);)n=n[0];return n}return e._size=t.slice(0),e._data=yt(e._data,e._size,r),e}function h(e,t,r){for(var n=e._size.slice(0),i=!1;n.length<t.length;)n.push(0),i=!0;for(var a=0,o=t.length;a<o;a++)t[a]>n[a]&&(n[a]=t[a],i=!0);i&&m(e,n,r)}function d(e){for(var t=0,r=e.length;t<r;t++){var n=e[t];f(n)?e[t]=d(n):n&&!0===n.isMatrix&&(e[t]=d(n.valueOf()))}return e}return r.prototype=new t,r.prototype.createDenseMatrix=function(e,t){return new r(e,t)},Object.defineProperty(r,"name",{value:"DenseMatrix"}),r.prototype.constructor=r,r.prototype.type="DenseMatrix",r.prototype.isDenseMatrix=!0,r.prototype.getDataType=function(){return It(this._data,$)},r.prototype.storage=function(){return"dense"},r.prototype.datatype=function(){return this._datatype},r.prototype.create=function(e,t){return new r(e,t)},r.prototype.subset=function(e,t,r){switch(arguments.length){case 1:return n(this,e);case 2:case 3:return u(this,e,t,r);default:throw new SyntaxError("Wrong number of arguments")}},r.prototype.get=function(e){if(!f(e))throw new TypeError("Array expected");if(e.length!==this._size.length)throw new pt(e.length,this._size.length);for(var t=0;t<e.length;t++)gt(e[t],this._size[t]);for(var r=this._data,n=0,i=e.length;n<i;n++){var a=e[n];gt(a,r.length),r=r[a]}return r},r.prototype.set=function(e,t,r){if(!f(e))throw new TypeError("Array expected");if(e.length<this._size.length)throw new pt(e.length,this._size.length,"<");var n,i,a,o=e.map((function(e){return e+1}));h(this,o,r);var u=this._data;for(n=0,i=e.length-1;n<i;n++)gt(a=e[n],u.length),u=u[a];return gt(a=e[e.length-1],u.length),u[a]=t,this},r.prototype.resize=function(e,t,r){if(!p(e))throw new TypeError("Array or Matrix expected");var n=e.valueOf().map((function(e){return Array.isArray(e)&&1===e.length?e[0]:e}));return m(r?this.clone():this,n,t)},r.prototype.reshape=function(e,t){var r=t?this.clone():this;r._data=bt(r._data,e);var n=r._size.reduce((function(e,t){return e*t}));return r._size=wt(e,n),r},r.prototype.clone=function(){return new r({data:me(this._data),size:me(this._size),datatype:this._datatype})},r.prototype.size=function(){return this._size.slice(0)},r.prototype.map=function(e){var t=this,n=jt(e),i=function r(i,a){return f(i)?i.map((function(e,t){return r(e,a.concat(t))})):1===n?e(i):2===n?e(i,a):e(i,a,t)}(this._data,[]);return new r(i,void 0!==this._datatype?It(i,$):void 0)},r.prototype.forEach=function(e){var t=this;!function r(n,i){f(n)?n.forEach((function(e,t){r(e,i.concat(t))})):e(n,i,t)}(this._data,[])},r.prototype[Symbol.iterator]=nt.mark((function e(){var t;return nt.wrap((function(e){for(;;)switch(e.prev=e.next){case 0:return t=nt.mark((function e(t,r){var n;return nt.wrap((function(i){for(;;)switch(i.prev=i.next){case 0:if(!f(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=function(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(e){if("string"==typeof e)return Pt(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)?Pt(e,t):void 0}}(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,u=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){u=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(u)throw a}}}}(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 me(this._data)},r.prototype.valueOf=function(){return this._data},r.prototype.format=function(e){return ut(this._data,e)},r.prototype.toString=function(){return ut(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(a(e)&&(e=e.toNumber()),!i(e)||!G(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,o=this._size[0],u=this._size[1],s=Math.min(o-n,u-t),c=[],f=0;f<s;f++)c[f]=this._data[f+n][f+t];return new r({data:c,size:[s],datatype:this._datatype})},r.diagonal=function(e,t,n,o){if(!f(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(a(e)&&(e=e.toNumber()),!i(e)||!G(e)||e<1)throw new Error("Size values must be positive integers");return e})),n){if(a(n)&&(n=n.toNumber()),!i(n)||!G(n))throw new TypeError("The parameter k must be an integer number")}else n=0;var u,s=n>0?n:0,c=n<0?-n:0,p=e[0],m=e[1],h=Math.min(p-c,m-s);if(f(t)){if(t.length!==h)throw new Error("Invalid value array length");u=function(e){return t[e]}}else if(l(t)){var d=t.size();if(1!==d.length||d[0]!==h)throw new Error("Invalid matrix length");u=function(e){return t.get([e])}}else u=function(){return t};o||(o=a(u(0))?u(0).mul(0):0);var v=[];if(e.length>0){v=yt(v,e,o);for(var g=0;g<h;g++)v[g+c][g+s]=u(g)}return new r({data:v,size:[p,m]})},r.fromJSON=function(e){return new r(e)},r.prototype.swapRows=function(e,t){if(!(i(e)&&G(e)&&i(t)&&G(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 gt(e,this._size[0]),gt(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="clone",$t=De(Ut,["typed"],(function(e){return(0,e.typed)(Ut,{any:me})}));function Ht(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 Gt(e){for(var t=0;t<e.length;t++)if(p(e[t]))return!0;return!1}function Vt(e,t){l(e)&&(e=e.valueOf());for(var r=0,n=e.length;r<n;r++){var i=e[r];Array.isArray(i)?Vt(i,t):t(i)}}function Zt(e,t,r){return e&&"function"==typeof e.map?e.map((function(e){return Zt(e,t,r)})):t(e)}function Wt(e,t,r){var n=Array.isArray(e)?ht(e):e.size();if(t<0||t>=n.length)throw new mt(t,n.length);return l(e)?e.create(Jt(e.valueOf(),t,r)):Jt(e,t,r)}function Jt(e,t,r){var n,i,a,o;if(t<=0){if(Array.isArray(e[0])){for(o=Ht(e),i=[],n=0;n<o.length;n++)i[n]=Jt(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]=Jt(e[n],t-1,r);return i}function Yt(e,t,r,n,i,a,o,u,s,c,f){var l,p,m,h,d=e._values,v=e._index,g=e._ptr;if(n)for(p=g[t],m=g[t+1],l=p;l<m;l++)r[h=v[l]]!==a?(r[h]=a,o.push(h),c?(n[h]=s?u(d[l],f):u(f,d[l]),i[h]=a):n[h]=d[l]):(n[h]=s?u(d[l],n[h]):u(n[h],d[l]),i[h]=a);else for(p=g[t],m=g[t+1],l=p;l<m;l++)r[h=v[l]]!==a?(r[h]=a,o.push(h)):i[h]=a}var Xt="isInteger",Qt=De(Xt,["typed"],(function(e){var t=e.typed;return t(Xt,{number:G,BigNumber:function(e){return e.isInt()},Fraction:function(e){return 1===e.d&&isFinite(e.n)},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),Kt=(r(9826),r(4048),"number");function er(e){return e<0}function tr(e){return e>0}function rr(e){return 0===e}function nr(e){return Number.isNaN(e)}er.signature=Kt,tr.signature=Kt,rr.signature=Kt,nr.signature=Kt;var ir="isNegative",ar=De(ir,["typed"],(function(e){var t=e.typed;return t(ir,{number:er,BigNumber:function(e){return e.isNeg()&&!e.isZero()&&!e.isNaN()},Fraction:function(e){return e.s<0},Unit:t.referToSelf((function(e){return function(r){return t.find(e,r.valueType())(r.value)}})),"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),or="isNumeric",ur=De(or,["typed"],(function(e){var t=e.typed;return t(or,{"number | BigNumber | Fraction | boolean":function(){return!0},"Complex | Unit | string | null | undefined | Node":function(){return!1},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),sr=(r(3210),"hasNumericValue"),cr=De(sr,["typed","isNumeric"],(function(e){var t=e.typed,r=e.isNumeric;return t(sr,{boolean:function(){return!0},string:function(e){return e.trim().length>0&&!isNaN(Number(e))},any:function(e){return r(e)}})})),fr="isPositive",lr=De(fr,["typed"],(function(e){var t=e.typed;return t(fr,{number:tr,BigNumber:function(e){return!e.isNeg()&&!e.isZero()&&!e.isNaN()},Fraction:function(e){return e.s>0&&e.n>0},Unit:t.referToSelf((function(e){return function(r){return t.find(e,r.valueType())(r.value)}})),"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),pr="isZero",mr=De(pr,["typed"],(function(e){var t=e.typed;return t(pr,{number:rr,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:t.referToSelf((function(e){return function(r){return t.find(e,r.valueType())(r.value)}})),"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),hr="isNaN",dr=De(hr,["typed"],(function(e){return(0,e.typed)(hr,{number:nr,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 Zt(e,Number.isNaN)}})})),vr="typeOf",gr=De(vr,["typed"],(function(e){return(0,e.typed)(vr,{any:$})}));function yr(e,t,r){if(null==r)return e.eq(t);if(e.eq(t))return!0;if(e.isNaN()||t.isNaN())return!1;if(e.isFinite()&&t.isFinite()){var n=e.minus(t).abs();if(n.isZero())return!0;var i=e.constructor.max(e.abs(),t.abs());return n.lte(i.times(r))}return!1}var xr=De("compareUnits",["typed"],(function(e){var t=e.typed;return{"Unit, Unit":t.referToSelf((function(e){return function(r,n){if(!r.equalBase(n))throw new Error("Cannot compare units with different base");return t.find(e,[r.valueType(),n.valueType()])(r.value,n.value)}}))}})),br="equalScalar",wr=De(br,["typed","config"],(function(e){var t=e.typed,r=e.config,n=xr({typed:t});return t(br,{"boolean, boolean":function(e,t){return e===t},"number, number":function(e,t){return oe(e,t,r.epsilon)},"BigNumber, BigNumber":function(e,t){return e.eq(t)||yr(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return e.equals(t)},"Complex, Complex":function(e,t){return function(e,t,r){return oe(e.re,t.re,r)&&oe(e.im,t.im,r)}(e,t,r.epsilon)}},n)})),Nr=(De(br,["typed","config"],(function(e){var t=e.typed,r=e.config;return t(br,{"number, number":function(e,t){return oe(e,t,r.epsilon)}})})),De("SparseMatrix",["typed","equalScalar","Matrix"],(function(e){var t=e.typed,r=e.equalScalar,n=e.Matrix;function o(e,t){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!c(t))throw new Error("Invalid datatype: "+t);if(l(e))!function(e,t,r){"SparseMatrix"===t.type?(e._values=t._values?me(t._values):void 0,e._index=me(t._index),e._ptr=me(t._ptr),e._size=me(t._size),e._datatype=r||t._datatype):u(e,t.valueOf(),r||t._datatype)}(this,e,t);else if(e&&f(e.index)&&f(e.ptr)&&f(e.size))this._values=e.values,this._index=e.index,this._ptr=e.ptr,this._size=e.size,this._datatype=t||e.datatype;else if(f(e))u(this,e,t);else{if(e)throw new TypeError("Unsupported type of data ("+$(e)+")");this._values=[],this._index=[],this._ptr=[0],this._size=[0,0],this._datatype=t}}function u(e,n,i){e._values=[],e._index=[],e._ptr=[],e._datatype=i;var a=n.length,o=0,u=r,s=0;if(c(i)&&(u=t.find(r,[i,i])||r,s=t.convert(0,i)),a>0){var l=0;do{e._ptr.push(e._index.length);for(var p=0;p<a;p++){var m=n[p];if(f(m)){if(0===l&&o<m.length&&(o=m.length),l<m.length){var h=m[l];u(h,s)||(e._values.push(h),e._index.push(p))}}else 0===l&&o<1&&(o=1),u(m,s)||(e._values.push(m),e._index.push(p))}l++}while(l<o)}e._ptr.push(e._index.length),e._size=[a,o]}function s(e,t){if(!v(t))throw new TypeError("Invalid index");if(t.isScalar())return e.get(t.min());var r,n,i,a,u=t.size();if(u.length!==e._size.length)throw new pt(u.length,e._size.length);var s=t.min(),c=t.max();for(r=0,n=e._size.length;r<n;r++)gt(s[r],e._size[r]),gt(c[r],e._size[r]);var f=e._values,l=e._index,p=e._ptr,m=t.dimension(0),h=t.dimension(1),d=[],g=[];m.forEach((function(e,t){g[e]=t[0],d[e]=!0}));var y=f?[]:void 0,x=[],b=[];return h.forEach((function(e){for(b.push(x.length),i=p[e],a=p[e+1];i<a;i++)r=l[i],!0===d[r]&&(x.push(g[r]),y&&y.push(f[i]))})),b.push(x.length),new o({values:y,index:x,ptr:b,size:u,datatype:e._datatype})}function m(e,t,r,n){if(!t||!0!==t.isIndex)throw new TypeError("Invalid index");var i,a=t.size(),o=t.isScalar();if(l(r)?(i=r.size(),r=r.toArray()):i=ht(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 pt(a.length,e._size.length,"<");if(i.length<a.length){for(var u=0,s=0;1===a[u]&&1===i[u];)u++;for(;1===a[u];)s++,u++;r=At(r,a.length,s,i)}if(!ge(a,i))throw new pt(a,i,">");if(1===a.length)t.dimension(0).forEach((function(t,i){gt(t),e.set([t,0],r[i[0]],n)}));else{var c=t.dimension(0),f=t.dimension(1);c.forEach((function(t,i){gt(t),f.forEach((function(a,o){gt(a),e.set([t,a],r[i[0]][o[0]],n)}))}))}}return e}function h(e,t,r,n){if(r-t==0)return r;for(var i=t;i<r;i++)if(n[i]===e)return i;return t}function d(e,t,r,n,i,a,o){i.splice(e,0,n),a.splice(e,0,t);for(var u=r+1;u<o.length;u++)o[u]++}function g(e,n,i,a){var o=a||0,u=r,s=0;c(e._datatype)&&(u=t.find(r,[e._datatype,e._datatype])||r,s=t.convert(0,e._datatype),o=t.convert(o,e._datatype));var f,l,p,m=!u(o,s),h=e._size[0],d=e._size[1];if(i>d){for(l=d;l<i;l++)if(e._ptr[l]=e._values.length,m)for(f=0;f<h;f++)e._values.push(o),e._index.push(f);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(l=0;l<d;l++){e._ptr[l]=e._ptr[l]+v,p=e._ptr[l+1]+v;var g=0;for(f=h;f<n;f++,g++)e._values.splice(p+g,0,o),e._index.splice(p+g,0,f),v++}e._ptr[d]=e._values.length}}else if(n<h){var y=0;for(l=0;l<d;l++){e._ptr[l]=e._ptr[l]-y;var x=e._ptr[l],b=e._ptr[l+1]-y;for(p=x;p<b;p++)(f=e._index[p])>n-1&&(e._values.splice(p,1),e._index.splice(p,1),y++)}e._ptr[l]=e._values.length}return e._size[0]=n,e._size[1]=i,e}function y(e,t,r,n,i){var a,o,u=n[0],s=n[1],c=[];for(a=0;a<u;a++)for(c[a]=[],o=0;o<s;o++)c[a][o]=0;for(o=0;o<s;o++)for(var f=r[o],l=r[o+1],p=f;p<l;p++)c[a=t[p]][o]=e?i?me(e[p]):e[p]:1;return c}return o.prototype=new n,o.prototype.createSparseMatrix=function(e,t){return new o(e,t)},Object.defineProperty(o,"name",{value:"SparseMatrix"}),o.prototype.constructor=o,o.prototype.type="SparseMatrix",o.prototype.isSparseMatrix=!0,o.prototype.getDataType=function(){return It(this._values,$)},o.prototype.storage=function(){return"sparse"},o.prototype.datatype=function(){return this._datatype},o.prototype.create=function(e,t){return new o(e,t)},o.prototype.density=function(){var e=this._size[0],t=this._size[1];return 0!==e&&0!==t?this._index.length/(e*t):0},o.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 s(this,e);case 2:case 3:return m(this,e,t,r);default:throw new SyntaxError("Wrong number of arguments")}},o.prototype.get=function(e){if(!f(e))throw new TypeError("Array expected");if(e.length!==this._size.length)throw new pt(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];gt(t,this._size[0]),gt(r,this._size[1]);var n=h(t,this._ptr[r],this._ptr[r+1],this._index);return n<this._ptr[r+1]&&this._index[n]===t?this._values[n]:0},o.prototype.set=function(e,n,i){if(!f(e))throw new TypeError("Array expected");if(e.length!==this._size.length)throw new pt(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],u=this._size[0],s=this._size[1],l=r,p=0;c(this._datatype)&&(l=t.find(r,[this._datatype,this._datatype])||r,p=t.convert(0,this._datatype)),(a>u-1||o>s-1)&&(g(this,Math.max(a+1,u),Math.max(o+1,s),i),u=this._size[0],s=this._size[1]),gt(a,u),gt(o,s);var m=h(a,this._ptr[o],this._ptr[o+1],this._index);return m<this._ptr[o+1]&&this._index[m]===a?l(n,p)?function(e,t,r,n,i){r.splice(e,1),n.splice(e,1);for(var a=t+1;a<i.length;a++)i[a]--}(m,o,this._values,this._index,this._ptr):this._values[m]=n:d(m,a,o,n,this._values,this._index,this._ptr),this},o.prototype.resize=function(e,t,r){if(!p(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(!i(e)||!G(e)||e<0)throw new TypeError("Invalid size, must contain positive integers (size: "+ut(n)+")")})),g(r?this.clone():this,n[0],n[1],t)},o.prototype.reshape=function(e,t){if(!f(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(!i(t)||!G(t)||t<=-2||0===t)throw new TypeError("Invalid size, must contain positive integers or -1 (size: "+ut(e)+")")}));var r=this._size[0]*this._size[1];if(r!==(e=wt(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 a=[],o=0;o<n._ptr.length;o++)for(var u=0;u<n._ptr[o+1]-n._ptr[o];u++)a.push(o);for(var s=n._values.slice(),c=n._index.slice(),l=0;l<n._index.length;l++){var p=c[l],m=a[l],v=p*n._size[1]+m;a[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 g=0;g<n._ptr.length;g++)n._ptr[g]=0;for(var y=0;y<s.length;y++){var x=c[y],b=a[y],w=s[y];d(h(x,n._ptr[b],n._ptr[b+1],n._index),x,b,w,n._values,n._index,n._ptr)}return n},o.prototype.clone=function(){return new o({values:this._values?me(this._values):void 0,index:me(this._index),ptr:me(this._ptr),size:me(this._size),datatype:this._datatype})},o.prototype.size=function(){return this._size.slice(0)},o.prototype.map=function(e,n){if(!this._values)throw new Error("Cannot invoke map on a Pattern only matrix");var i=this,a=this._size[0],u=this._size[1],s=jt(e);return function(e,n,i,a,u,s,f){var l=[],p=[],m=[],h=r,d=0;c(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=s(e,t,r),h(e,d)||(l.push(e),p.push(t))},g=0;g<=u;g++){m.push(l.length);var y=e._ptr[g],x=e._ptr[g+1];if(f)for(var b=y;b<x;b++){var w=e._index[b];w>=0&&w<=i&&v(e._values[b],w-0,g-0)}else{for(var N={},D=y;D<x;D++)N[e._index[D]]=e._values[D];for(var E=0;E<=i;E++)v(E in N?N[E]:0,E-0,g-0)}}return m.push(l.length),new o({values:l,index:p,ptr:m,size:[i-0+1,u-0+1]})}(this,0,a-1,0,u-1,(function(t,r,n){return 1===s?e(t):2===s?e(t,[r,n]):e(t,[r,n],i)}),n)},o.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 u=a;u<o;u++){var s=this._index[u];e(this._values[u],[s,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)}}},o.prototype[Symbol.iterator]=nt.mark((function e(){var t,r,n,i,a,o;return nt.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)})),o.prototype.toArray=function(){return y(this._values,this._index,this._ptr,this._size,!0)},o.prototype.valueOf=function(){return y(this._values,this._index,this._ptr,this._size,!1)},o.prototype.format=function(e){for(var t=this._size[0],r=this._size[1],n=this.density(),i="Sparse Matrix ["+ut(t,e)+" x "+ut(r,e)+"] density: "+ut(n,e)+"\n",a=0;a<r;a++)for(var o=this._ptr[a],u=this._ptr[a+1],s=o;s<u;s++)i+="\n    ("+ut(this._index[s],e)+", "+ut(a,e)+") ==> "+(this._values?ut(this._values[s],e):"X");return i},o.prototype.toString=function(){return ut(this.toArray())},o.prototype.toJSON=function(){return{mathjs:"SparseMatrix",values:this._values,index:this._index,ptr:this._ptr,size:this._size,datatype:this._datatype}},o.prototype.diagonal=function(e){if(e){if(a(e)&&(e=e.toNumber()),!i(e)||!G(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],u=this._size[1],s=Math.min(n-r,u-t),c=[],f=[],l=[];l[0]=0;for(var p=t;p<u&&c.length<s;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 o({values:c,index:f,ptr:l,size:[s,1]})},o.fromJSON=function(e){return new o(e)},o.diagonal=function(e,n,u,s,p){if(!f(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(a(e)&&(e=e.toNumber()),!i(e)||!G(e)||e<1)throw new Error("Size values must be positive integers");return e})),u){if(a(u)&&(u=u.toNumber()),!i(u)||!G(u))throw new TypeError("The parameter k must be an integer number")}else u=0;var m=r,h=0;c(p)&&(m=t.find(r,[p,p])||r,h=t.convert(0,p));var d,v=u>0?u:0,g=u<0?-u:0,y=e[0],x=e[1],b=Math.min(y-g,x-v);if(f(n)){if(n.length!==b)throw new Error("Invalid value array length");d=function(e){return n[e]}}else if(l(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=[],D=[],E=[],A=0;A<x;A++){E.push(N.length);var S=A-v;if(S>=0&&S<b){var C=d(S);m(C,h)||(D.push(S+g),N.push(C))}}return E.push(N.length),new o({values:N,index:D,ptr:E,size:[y,x]})},o.prototype.swapRows=function(e,t){if(!(i(e)&&G(e)&&i(t)&&G(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 gt(e,this._size[0]),gt(t,this._size[0]),o._swapRows(e,t,this._size[1],this._values,this._index,this._ptr),this},o._forEachRow=function(e,t,r,n,i){for(var a=n[e],o=n[e+1],u=a;u<o;u++)i(r[u],t[u])},o._swapRows=function(e,t,r,n,i,a){for(var o=0;o<r;o++){var u=a[o],s=a[o+1],c=h(e,u,s,i),f=h(t,u,s,i);if(c<s&&f<s&&i[c]===e&&i[f]===t){if(n){var l=n[c];n[c]=n[f],n[f]=l}}else if(c<s&&i[c]===e&&(f>=s||i[f]!==t)){var p=n?n[c]:void 0;i.splice(f,0,t),n&&n.splice(f,0,p),i.splice(f<=c?c+1:c,1),n&&n.splice(f<=c?c+1:c,1)}else if(f<s&&i[f]===t&&(c>=s||i[c]!==e)){var m=n?n[f]:void 0;i.splice(c,0,e),n&&n.splice(c,0,m),i.splice(c<=f?f+1:f,1),n&&n.splice(c<=f?f+1:f,1)}}},o}),{isClass:!0})),Dr=De("number",["typed"],(function(e){var t=e.typed,r=t("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":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))});return r.fromJSON=function(e){return parseFloat(e.value)},r})),Er="string",Ar=De(Er,["typed"],(function(e){var t=e.typed;return t(Er,{"":function(){return""},number:K,null:function(e){return"null"},boolean:function(e){return e+""},string:function(e){return e},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}})),any:function(e){return String(e)}})})),Sr="boolean",Cr=De(Sr,["typed"],(function(e){var t=e.typed;return t(Sr,{"":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":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),Mr=De("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":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),Fr=De("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":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),Or=De("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":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),Tr="matrix",Br=De(Tr,["typed","Matrix","DenseMatrix","SparseMatrix"],(function(e){var t=e.typed,r=(e.Matrix,e.DenseMatrix),n=e.SparseMatrix;return t(Tr,{"":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)+".")}})),_r="matrixFromFunction",kr=De(_r,["typed","matrix","isZero"],(function(e){var t=e.typed,r=e.matrix,n=e.isZero;return t(_r,{"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 Ir(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 Rr="matrixFromRows",zr=De(Rr,["typed","matrix","flatten","size"],(function(e){var t=e.typed,r=e.matrix,n=e.flatten,i=e.size;return t(Rr,{"...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=function(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(e){if("string"==typeof e)return Ir(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)?Ir(e,t):void 0}}(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,u=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){u=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(u)throw a}}}}(e);try{for(a.s();!(t=a.n()).done;){var u=t.value,s=o(u);if(s!==r)throw new TypeError("The vectors had different length: "+(0|r)+" ≠ "+(0|s));i.push(n(u))}}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 qr(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 jr="matrixFromColumns",Pr=De(jr,["typed","matrix","flatten","size"],(function(e){var t=e.typed,r=e.matrix,n=e.flatten,i=e.size;return t(jr,{"...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,u=function(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(e){if("string"==typeof e)return qr(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$/.test(r)?qr(e,t):void 0}}(e))||t&&e&&"number"==typeof e.length){r&&(e=r);var n=0,i=function(){};return{s:i,n:function(){return n>=e.length?{done:!0}:{done:!1,value:e[n++]}},e:function(e){throw e},f:i}}throw new TypeError("Invalid attempt to iterate non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}var a,o=!0,u=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){u=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(u)throw a}}}}(e);try{for(u.s();!(a=u.n()).done;){var s=a.value,c=o(s);if(c!==t)throw new TypeError("The vectors had different length: "+(0|t)+" ≠ "+(0|c));for(var f=n(s),l=0;l<t;l++)r[l].push(f[l])}}catch(e){u.e(e)}finally{u.f()}return r}function o(e){var t=i(e);if(1===t.length)return t[0];if(2===t.length){if(1===t[0])return t[1];if(1===t[1])return t[0];throw new TypeError("At least one of the arguments is not a vector.")}throw new TypeError("Only one- or two-dimensional vectors are supported.")}})),Lr="splitUnit",Ur=De(Lr,["typed"],(function(e){return(0,e.typed)(Lr,{"Unit, Array":function(e,t){return e.splitUnit(t)}})})),$r="number",Hr="number, number";function Gr(e){return Math.abs(e)}function Vr(e,t){return e+t}function Zr(e,t){return e*t}function Wr(e){return-e}function Jr(e){return e}function Yr(e){return Y(e)}function Xr(e){return e*e*e}function Qr(e){return Math.exp(e)}function Kr(e){return X(e)}function en(e,t){if(!G(e)||!G(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 tn(e,t){if(!G(e)||!G(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 rn(e){return W(e)}function nn(e){return Z(e)}function an(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 on(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 un(e){return V(e)}function sn(e){return e*e}function cn(e,t){var r,n,i,a=0,o=1,u=1,s=0;if(!G(e)||!G(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=u,u=s-n*u,s=r,e=t,t=i;return e<0?[-e,-o,-s]:[e,e?o:0,s]}function fn(e,t){return e*e<1&&t===1/0||e*e>1&&t===-1/0?0:Math.pow(e,t)}function ln(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:0;if(!G(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(te(e,t))}Gr.signature=$r,Vr.signature=Hr,Zr.signature=Hr,Wr.signature=$r,Jr.signature=$r,Yr.signature=$r,Xr.signature=$r,Qr.signature=$r,Kr.signature=$r,en.signature=Hr,tn.signature=Hr,rn.signature=$r,nn.signature=$r,an.signature=Hr,un.signature=$r,sn.signature=$r,cn.signature=Hr,fn.signature=Hr;var pn="unaryMinus",mn=De(pn,["typed"],(function(e){var t=e.typed;return t(pn,{number:Wr,"Complex | BigNumber | Fraction":function(e){return e.neg()},Unit:t.referToSelf((function(e){return function(r){var n=r.clone();return n.value=t.find(e,n.valueType())(r.value),n}})),"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e,!0)}}))})})),hn="unaryPlus",dn=De(hn,["typed","config","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.BigNumber;return t(hn,{number:Jr,Complex:function(e){return e},BigNumber:function(e){return e},Fraction:function(e){return e},Unit:function(e){return e.clone()},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e,!0)}})),"boolean | string":function(e){return"BigNumber"===r.number?new n(+e):+e}})})),vn=De("abs",["typed"],(function(e){var t=e.typed;return t("abs",{number:Gr,"Complex | BigNumber | Fraction | Unit":function(e){return e.abs()},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e,!0)}}))})})),gn="apply",yn=De(gn,["typed","isInteger"],(function(e){var t=e.typed,r=e.isInteger;return t(gn,{"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)?ht(e):e.size();if(t<0||t>=i.length)throw new mt(t,i.length);return l(e)?e.create(xn(e.valueOf(),t,n)):xn(e,t,n)}})}));function xn(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]=xn(a[n],t-1,r);return i}return r(e)}for(i=[],n=0;n<e.length;n++)i[n]=xn(e[n],t-1,r);return i}var bn="addScalar",wn=De(bn,["typed"],(function(e){var t=e.typed;return t(bn,{"number, number":Vr,"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":t.referToSelf((function(e){return function(r,n){if(null===r.value||void 0===r.value)throw new Error("Parameter x contains a unit with undefined value");if(null===n.value||void 0===n.value)throw new Error("Parameter y contains a unit with undefined value");if(!r.equalBase(n))throw new Error("Units do not match");var i=r.clone();return i.value=t.find(e,[i.valueType(),n.valueType()])(i.value,n.value),i.fixPrefix=!1,i}}))})})),Nn="cbrt",Dn=De(Nn,["config","typed","isNegative","unaryMinus","matrix","Complex","BigNumber","Fraction"],(function(e){var t=e.config,r=e.typed,n=e.isNegative,i=e.unaryMinus,s=e.matrix,c=e.Complex,f=e.BigNumber,l=e.Fraction;return r(Nn,{number:Yr,Complex:p,"Complex, boolean":p,BigNumber:function(e){return e.cbrt()},Unit:function(e){if(e.value&&o(e.value)){var t=e.clone();return t.value=1,(t=t.pow(1/3)).value=p(e.value),t}var r,s=n(e.value);s&&(e.value=i(e.value)),r=a(e.value)?new f(1).div(3):u(e.value)?new l(1,3):1/3;var c=e.pow(r);return s&&(c.value=i(c.value)),c}});function p(e,r){var n=e.arg()/3,i=e.abs(),a=new c(Yr(i),0).mul(new c(0,n).exp());if(r){var o=[a,new c(Yr(i),0).mul(new c(0,n+2*Math.PI/3).exp()),new c(Yr(i),0).mul(new c(0,n-2*Math.PI/3).exp())];return"Array"===t.matrix?o:s(o)}return a}}));function En(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 An(e,t){if(e){if("string"==typeof e)return En(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)?En(e,t):void 0}}function Sn(e,t){return function(e){if(Array.isArray(e))return e}(e)||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,u=!1;try{for(r=r.call(e);!(o=(n=r.next()).done)&&(a.push(n.value),!t||a.length!==t);o=!0);}catch(e){u=!0,i=e}finally{try{o||null==r.return||r.return()}finally{if(u)throw i}}return a}}(e,t)||An(e,t)||function(){throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}()}var Cn=De("matAlgo11xS0s",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i,a){var o=e._values,u=e._index,s=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 g=[],y=[],x=[],b=0;b<m;b++){x[b]=y.length;for(var w=s[b],N=s[b+1],D=w;D<N;D++){var E=u[D],A=a?v(n,o[D]):v(o[D],n);h(A,d)||(y.push(E),g.push(A))}}return x[m]=y.length,e.createSparseMatrix({values:g,index:y,ptr:x,size:[p,m],datatype:l})}})),Mn=De("matAlgo12xSfs",["typed","DenseMatrix"],(function(e){var t=e.typed,r=e.DenseMatrix;return function(e,n,i,a){var o=e._values,u=e._index,s=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=[],g=[],y=0;y<m;y++){for(var x=y+1,b=s[y],w=s[y+1],N=b;N<w;N++){var D=u[N];v[D]=o[N],g[D]=x}for(var E=0;E<p;E++)0===y&&(d[E]=[]),g[E]===x?d[E][y]=a?h(n,v[E]):h(v[E],n):d[E][y]=a?h(n,0):h(0,n)}return new r({data:d,size:[p,m],datatype:l})}})),Fn=De("matAlgo14xDs",["typed"],(function(e){var t=e.typed;return function(e,n,i,a){var o,u=e._data,s=e._size,c=e._datatype,f=i;"string"==typeof c&&(o=c,n=t.convert(n,o),f=t.find(i,[o,o]));var l=s.length>0?r(f,0,s,s[0],u,n,a):[];return e.createDenseMatrix({data:l,size:me(s),datatype:o})};function r(e,t,n,i,a,o,u){var s=[];if(t===n.length-1)for(var c=0;c<i;c++)s[c]=u?e(o,a[c]):e(a[c],o);else for(var f=0;f<i;f++)s[f]=r(e,t+1,n,n[t+1],a[f],o,u);return s}})),On="ceil",Tn=["typed","config","round","matrix","equalScalar","zeros","DenseMatrix"],Bn=De(On,["typed","config","round"],(function(e){var t=e.typed,r=e.config,n=e.round;return t(On,{number:function(e){return oe(e,n(e),r.epsilon)?n(e):Math.ceil(e)},"number, number":function(e,t){if(oe(e,n(e,t),r.epsilon))return n(e,t);var i=Sn("".concat(e,"e").split("e"),2),a=i[0],o=i[1],u=Math.ceil(Number("".concat(a,"e").concat(Number(o)+t))),s=Sn("".concat(u,"e").split("e"),2);return a=s[0],o=s[1],Number("".concat(a,"e").concat(Number(o)-t))}})})),_n=De(On,Tn,(function(e){var t=e.typed,r=e.config,n=e.round,i=e.matrix,a=e.equalScalar,o=e.zeros,u=e.DenseMatrix,s=Cn({typed:t,equalScalar:a}),c=Mn({typed:t,DenseMatrix:u}),f=Fn({typed:t}),l=Bn({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 yr(e,n(e),r.epsilon)?n(e):e.ceil()},"BigNumber, BigNumber":function(e,t){return yr(e,n(e,t),r.epsilon)?n(e,t):e.toDecimalPlaces(t.toNumber(),Je.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":t.referToSelf((function(e){return function(t){return Zt(t,e,!0)}})),"Array, number | BigNumber":t.referToSelf((function(e){return function(t,r){return Zt(t,(function(t){return e(t,r)}),!0)}})),"SparseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return s(t,r,e,!1)}})),"DenseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return f(t,r,e,!1)}})),"number | Complex | Fraction | BigNumber, Array":t.referToSelf((function(e){return function(t,r){return f(i(r),t,e,!0).valueOf()}})),"number | Complex | Fraction | BigNumber, Matrix":t.referToSelf((function(e){return function(t,r){return a(t,0)?o(r.size(),r.storage()):"dense"===r.storage()?f(r,t,e,!0):c(r,t,e,!0)}}))})})),kn="cube",In=De(kn,["typed"],(function(e){return(0,e.typed)(kn,{number:Xr,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)},Unit:function(e){return e.pow(3)}})})),Rn=De("exp",["typed"],(function(e){return(0,e.typed)("exp",{number:Qr,Complex:function(e){return e.exp()},BigNumber:function(e){return e.exp()}})})),zn="expm1",qn=De(zn,["typed","Complex"],(function(e){var t=e.typed,r=e.Complex;return t(zn,{number:Kr,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)}})})),jn="fix",Pn=["typed","Complex","matrix","ceil","floor","equalScalar","zeros","DenseMatrix"],Ln=De(jn,["typed","ceil","floor"],(function(e){var t=e.typed,r=e.ceil,n=e.floor;return t(jn,{number:function(e){return e>0?n(e):r(e)},"number, number":function(e,t){return e>0?n(e,t):r(e,t)}})})),Un=De(jn,Pn,(function(e){var t=e.typed,r=e.Complex,n=e.matrix,i=e.ceil,a=e.floor,o=e.equalScalar,u=e.zeros,s=e.DenseMatrix,c=Mn({typed:t,DenseMatrix:s}),f=Fn({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":t.referToSelf((function(e){return function(t){return Zt(t,e,!0)}})),"Array | Matrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return Zt(t,(function(t){return e(t,r)}),!0)}})),"number | Complex | Fraction | BigNumber, Array":t.referToSelf((function(e){return function(t,r){return f(n(r),t,e,!0).valueOf()}})),"number | Complex | Fraction | BigNumber, Matrix":t.referToSelf((function(e){return function(t,r){return o(t,0)?u(r.size(),r.storage()):"dense"===r.storage()?f(r,t,e,!0):c(r,t,e,!0)}}))})})),$n="floor",Hn=["typed","config","round","matrix","equalScalar","zeros","DenseMatrix"],Gn=De($n,["typed","config","round"],(function(e){var t=e.typed,r=e.config,n=e.round;return t($n,{number:function(e){return oe(e,n(e),r.epsilon)?n(e):Math.floor(e)},"number, number":function(e,t){if(oe(e,n(e,t),r.epsilon))return n(e,t);var i=Sn("".concat(e,"e").split("e"),2),a=i[0],o=i[1],u=Math.floor(Number("".concat(a,"e").concat(Number(o)+t))),s=Sn("".concat(u,"e").split("e"),2);return a=s[0],o=s[1],Number("".concat(a,"e").concat(Number(o)-t))}})})),Vn=De($n,Hn,(function(e){var t=e.typed,r=e.config,n=e.round,i=e.matrix,a=e.equalScalar,o=e.zeros,u=e.DenseMatrix,s=Cn({typed:t,equalScalar:a}),c=Mn({typed:t,DenseMatrix:u}),f=Fn({typed:t}),l=Gn({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 yr(e,n(e),r.epsilon)?n(e):e.floor()},"BigNumber, BigNumber":function(e,t){return yr(e,n(e,t),r.epsilon)?n(e,t):e.toDecimalPlaces(t.toNumber(),Je.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":t.referToSelf((function(e){return function(t){return Zt(t,e,!0)}})),"Array, number | BigNumber":t.referToSelf((function(e){return function(t,r){return Zt(t,(function(t){return e(t,r)}),!0)}})),"SparseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return s(t,r,e,!1)}})),"DenseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return f(t,r,e,!1)}})),"number | Complex | Fraction | BigNumber, Array":t.referToSelf((function(e){return function(t,r){return f(i(r),t,e,!0).valueOf()}})),"number | Complex | Fraction | BigNumber, Matrix":t.referToSelf((function(e){return function(t,r){return a(t,0)?o(r.size(),r.storage()):"dense"===r.storage()?f(r,t,e,!0):c(r,t,e,!0)}}))})})),Zn=De("matAlgo01xDSid",["typed"],(function(e){var t=e.typed;return function(e,r,n,i){var a=e._data,o=e._size,u=e._datatype,s=r._values,c=r._index,f=r._ptr,l=r._size,p=r._datatype;if(o.length!==l.length)throw new pt(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(!s)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var m,h,d=o[0],v=o[1],g="string"==typeof u&&u===p?u:void 0,y=g?t.find(n,[g,g]):n,x=[];for(m=0;m<d;m++)x[m]=[];var b=[],w=[];for(h=0;h<v;h++){for(var N=h+1,D=f[h],E=f[h+1],A=D;A<E;A++)b[m=c[A]]=i?y(s[A],a[m][h]):y(a[m][h],s[A]),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:g})}})),Wn=De("matAlgo04xSidSid",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i){var a=e._values,o=e._index,u=e._ptr,s=e._size,c=e._datatype,f=n._values,l=n._index,p=n._ptr,m=n._size,h=n._datatype;if(s.length!==m.length)throw new pt(s.length,m.length);if(s[0]!==m[0]||s[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+s+") must match Matrix B ("+m+")");var d,v=s[0],g=s[1],y=r,x=0,b=i;"string"==typeof c&&c===h&&(d=c,y=t.find(r,[d,d]),x=t.convert(0,d),b=t.find(i,[d,d]));var w,N,D,E,A,S=a&&f?[]:void 0,C=[],M=[],F=a&&f?[]:void 0,O=a&&f?[]:void 0,T=[],B=[];for(N=0;N<g;N++){M[N]=C.length;var _=N+1;for(E=u[N],A=u[N+1],D=E;D<A;D++)w=o[D],C.push(w),T[w]=_,F&&(F[w]=a[D]);for(E=p[N],A=p[N+1],D=E;D<A;D++)if(T[w=l[D]]===_){if(F){var k=b(F[w],f[D]);y(k,x)?T[w]=null:F[w]=k}}else C.push(w),B[w]=_,O&&(O[w]=f[D]);if(F&&O)for(D=M[N];D<C.length;)T[w=C[D]]===_?(S[D]=F[w],D++):B[w]===_?(S[D]=O[w],D++):C.splice(D,1)}return M[g]=C.length,e.createSparseMatrix({values:S,index:C,ptr:M,size:[v,g],datatype:d})}})),Jn=De("matAlgo10xSids",["typed","DenseMatrix"],(function(e){var t=e.typed,r=e.DenseMatrix;return function(e,n,i,a){var o=e._values,u=e._index,s=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=[],g=[],y=0;y<m;y++){for(var x=y+1,b=s[y],w=s[y+1],N=b;N<w;N++){var D=u[N];v[D]=o[N],g[D]=x}for(var E=0;E<p;E++)0===y&&(d[E]=[]),g[E]===x?d[E][y]=a?h(n,v[E]):h(v[E],n):d[E][y]=n}return new r({data:d,size:[p,m],datatype:l})}})),Yn=De("matAlgo13xDD",["typed"],(function(e){var t=e.typed;return function(e,n,i){var a,o=e._data,u=e._size,s=e._datatype,c=n._data,f=n._size,l=n._datatype,p=[];if(u.length!==f.length)throw new pt(u.length,f.length);for(var m=0;m<u.length;m++){if(u[m]!==f[m])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+f+")");p[m]=u[m]}var h=i;"string"==typeof s&&s===l&&(a=s,h=t.find(i,[a,a]));var d=p.length>0?r(h,0,p,p[0],o,c):[];return e.createDenseMatrix({data:d,size:p,datatype:a})};function r(e,t,n,i,a,o){var u=[];if(t===n.length-1)for(var s=0;s<i;s++)u[s]=e(a[s],o[s]);else for(var c=0;c<i;c++)u[c]=r(e,t+1,n,n[t+1],a[c],o[c]);return u}})),Xn=De("matrixAlgorithmSuite",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix,n=Yn({typed:t}),i=Fn({typed:t});return function(e){var a,o=e.elop,u=e.SD||e.DS;o?(a={"DenseMatrix, DenseMatrix":function(e,t){return n(e,t,o)},"Array, Array":function(e,t){return n(r(e),r(t),o).valueOf()},"Array, DenseMatrix":function(e,t){return n(r(e),t,o)},"DenseMatrix, Array":function(e,t){return n(e,r(t),o)}},e.SS&&(a["SparseMatrix, SparseMatrix"]=function(t,r){return e.SS(t,r,o,!1)}),e.DS&&(a["DenseMatrix, SparseMatrix"]=function(t,r){return e.DS(t,r,o,!1)},a["Array, SparseMatrix"]=function(t,n){return e.DS(r(t),n,o,!1)}),u&&(a["SparseMatrix, DenseMatrix"]=function(e,t){return u(t,e,o,!0)},a["SparseMatrix, Array"]=function(e,t){return u(r(t),e,o,!0)})):(a={"DenseMatrix, DenseMatrix":t.referToSelf((function(e){return function(t,r){return n(t,r,e)}})),"Array, Array":t.referToSelf((function(e){return function(t,i){return n(r(t),r(i),e).valueOf()}})),"Array, DenseMatrix":t.referToSelf((function(e){return function(t,i){return n(r(t),i,e)}})),"DenseMatrix, Array":t.referToSelf((function(e){return function(t,i){return n(t,r(i),e)}}))},e.SS&&(a["SparseMatrix, SparseMatrix"]=t.referToSelf((function(t){return function(r,n){return e.SS(r,n,t,!1)}}))),e.DS&&(a["DenseMatrix, SparseMatrix"]=t.referToSelf((function(t){return function(r,n){return e.DS(r,n,t,!1)}})),a["Array, SparseMatrix"]=t.referToSelf((function(t){return function(n,i){return e.DS(r(n),i,t,!1)}}))),u&&(a["SparseMatrix, DenseMatrix"]=t.referToSelf((function(e){return function(t,r){return u(r,t,e,!0)}})),a["SparseMatrix, Array"]=t.referToSelf((function(e){return function(t,n){return u(r(n),t,e,!0)}}))));var s=e.scalar||"any";(e.Ds||e.Ss)&&(o?(a["DenseMatrix,"+s]=function(e,t){return i(e,t,o,!1)},a[s+", DenseMatrix"]=function(e,t){return i(t,e,o,!0)},a["Array,"+s]=function(e,t){return i(r(e),t,o,!1).valueOf()},a[s+", Array"]=function(e,t){return i(r(t),e,o,!0).valueOf()}):(a["DenseMatrix,"+s]=t.referToSelf((function(e){return function(t,r){return i(t,r,e,!1)}})),a[s+", DenseMatrix"]=t.referToSelf((function(e){return function(t,r){return i(r,t,e,!0)}})),a["Array,"+s]=t.referToSelf((function(e){return function(t,n){return i(r(t),n,e,!1).valueOf()}})),a[s+", Array"]=t.referToSelf((function(e){return function(t,n){return i(r(n),t,e,!0).valueOf()}}))));var c=void 0!==e.sS?e.sS:e.Ss;return o?(e.Ss&&(a["SparseMatrix,"+s]=function(t,r){return e.Ss(t,r,o,!1)}),c&&(a[s+", SparseMatrix"]=function(e,t){return c(t,e,o,!0)})):(e.Ss&&(a["SparseMatrix,"+s]=t.referToSelf((function(t){return function(r,n){return e.Ss(r,n,t,!1)}}))),c&&(a[s+", SparseMatrix"]=t.referToSelf((function(e){return function(t,r){return c(r,t,e,!0)}})))),o&&o.signatures&&de(a,o.signatures),a}})),Qn=De("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=Zn({typed:t}),u=Wn({typed:t,equalScalar:n}),s=Jn({typed:t,DenseMatrix:a}),c=Xn({typed:t,matrix:r}),f="number | BigNumber | Fraction | Matrix | Array",l={};return l["".concat(f,", ").concat(f,", ...").concat(f)]=t.referToSelf((function(e){return function(t,r,n){for(var i=e(t,r),a=0;a<n.length;a++)i=e(i,n[a]);return i}})),t("gcd",{"number, number":en,"BigNumber, BigNumber":function(e,t){if(!e.isInt()||!t.isInt())throw new Error("Parameters in function gcd must be integer numbers");for(var r=new i(0);!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)}},c({SS:u,DS:o,Ss:s}),l)})),Kn=De("matAlgo02xDS0",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i,a){var o=e._data,u=e._size,s=e._datatype,c=n._values,f=n._index,l=n._ptr,p=n._size,m=n._datatype;if(u.length!==p.length)throw new pt(u.length,p.length);if(u[0]!==p[0]||u[1]!==p[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+p+")");if(!c)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var h,d=u[0],v=u[1],g=r,y=0,x=i;"string"==typeof s&&s===m&&(h=s,g=t.find(r,[h,h]),y=t.convert(0,h),x=t.find(i,[h,h]));for(var b=[],w=[],N=[],D=0;D<v;D++){N[D]=w.length;for(var E=l[D],A=l[D+1],S=E;S<A;S++){var C=f[S],M=a?x(c[S],o[C][D]):x(o[C][D],c[S]);g(M,y)||(w.push(C),b.push(M))}}return N[v]=w.length,n.createSparseMatrix({values:b,index:w,ptr:N,size:[d,v],datatype:h})}})),ei=De("matAlgo06xS0S0",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i){var a=e._values,o=e._size,u=e._datatype,s=n._values,c=n._size,f=n._datatype;if(o.length!==c.length)throw new pt(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 u&&u===f&&(l=u,h=t.find(r,[l,l]),d=t.convert(0,l),v=t.find(i,[l,l]));for(var g=a&&s?[]:void 0,y=[],x=[],b=g?[]:void 0,w=[],N=[],D=0;D<m;D++){x[D]=y.length;var E=D+1;if(Yt(e,D,w,b,N,E,y,v),Yt(n,D,w,b,N,E,y,v),b)for(var A=x[D];A<y.length;){var S=y[A];if(N[S]===E){var C=b[S];h(C,d)?y.splice(A,1):(g.push(C),A++)}else y.splice(A,1)}else for(var M=x[D];M<y.length;)N[y[M]]!==E?y.splice(M,1):M++}return x[m]=y.length,e.createSparseMatrix({values:g,index:y,ptr:x,size:[p,m],datatype:l})}})),ti=De("lcm",["typed","matrix","equalScalar"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=Kn({typed:t,equalScalar:n}),a=ei({typed:t,equalScalar:n}),o=Cn({typed:t,equalScalar:n}),u=Xn({typed:t,matrix:r}),s="number | BigNumber | Fraction | Matrix | Array",c={};return c["".concat(s,", ").concat(s,", ...").concat(s)]=t.referToSelf((function(e){return function(t,r,n){for(var i=e(t,r),a=0;a<n.length;a++)i=e(i,n[a]);return i}})),t("lcm",{"number, number":tn,"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;for(var r=e.times(t);!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)}},u({SS:a,DS:i,Ss:o}),c)})),ri="log10",ni=De(ri,["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t(ri,{number:function(e){return e>=0||r.predictable?rn(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":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),ii="log2",ai=De(ii,["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t(ii,{number:function(e){return e>=0||r.predictable?nn(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":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))});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)}})),oi=De("matAlgo03xDSf",["typed"],(function(e){var t=e.typed;return function(e,r,n,i){var a=e._data,o=e._size,u=e._datatype,s=r._values,c=r._index,f=r._ptr,l=r._size,p=r._datatype;if(o.length!==l.length)throw new pt(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(!s)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var m,h=o[0],d=o[1],v=0,g=n;"string"==typeof u&&u===p&&(m=u,v=t.convert(0,m),g=t.find(n,[m,m]));for(var y=[],x=0;x<h;x++)y[x]=[];for(var b=[],w=[],N=0;N<d;N++){for(var D=N+1,E=f[N],A=f[N+1],S=E;S<A;S++){var C=c[S];b[C]=i?g(s[S],a[C][N]):g(a[C][N],s[S]),w[C]=D}for(var M=0;M<h;M++)w[M]===D?y[M][N]=b[M]:y[M][N]=i?g(v,a[M][N]):g(a[M][N],v)}return e.createDenseMatrix({data:y,size:[h,d],datatype:m})}})),ui=De("matAlgo05xSfSf",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i){var a=e._values,o=e._index,u=e._ptr,s=e._size,c=e._datatype,f=n._values,l=n._index,p=n._ptr,m=n._size,h=n._datatype;if(s.length!==m.length)throw new pt(s.length,m.length);if(s[0]!==m[0]||s[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+s+") must match Matrix B ("+m+")");var d,v=s[0],g=s[1],y=r,x=0,b=i;"string"==typeof c&&c===h&&(d=c,y=t.find(r,[d,d]),x=t.convert(0,d),b=t.find(i,[d,d]));var w,N,D,E,A=a&&f?[]:void 0,S=[],C=[],M=A?[]:void 0,F=A?[]:void 0,O=[],T=[];for(N=0;N<g;N++){C[N]=S.length;var B=N+1;for(D=u[N],E=u[N+1];D<E;D++)w=o[D],S.push(w),O[w]=B,M&&(M[w]=a[D]);for(D=p[N],E=p[N+1];D<E;D++)O[w=l[D]]!==B&&S.push(w),T[w]=B,F&&(F[w]=f[D]);if(A)for(D=C[N];D<S.length;){var _=O[w=S[D]],k=T[w];if(_===B||k===B){var I=b(_===B?M[w]:x,k===B?F[w]:x);y(I,x)?S.splice(D,1):(A.push(I),D++)}}}return C[g]=S.length,e.createSparseMatrix({values:A,index:S,ptr:C,size:[v,g],datatype:d})}})),si=De("mod",["typed","matrix","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.DenseMatrix,a=Kn({typed:t,equalScalar:n}),o=oi({typed:t}),u=ui({typed:t,equalScalar:n}),s=Cn({typed:t,equalScalar:n}),c=Mn({typed:t,DenseMatrix:i});return t("mod",{"number, number":an,"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)}},Xn({typed:t,matrix:r})({SS:u,DS:o,SD:a,Ss:s,sS:c}))})),ci=De("multiplyScalar",["typed"],(function(e){return(0,e.typed)("multiplyScalar",{"number, number":Zr,"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){return t.multiply(e)},"Unit, number | Fraction | BigNumber | Complex | Unit":function(e,t){return e.multiply(t)}})})),fi="multiply",li=De(fi,["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,u=Cn({typed:t,equalScalar:a}),s=Fn({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)")}}var f=t("_multiplyMatrixVector",{"DenseMatrix, any":function(e,r){var a,o=e._data,u=e._size,s=e._datatype,c=r._data,f=r._datatype,l=u[0],p=u[1],m=n,h=i;s&&f&&s===f&&"string"==typeof s&&(a=s,m=t.find(n,[a,a]),h=t.find(i,[a,a]));for(var d=[],v=0;v<l;v++){for(var g=o[v],y=h(g[0],c[0]),x=1;x<p;x++)y=m(y,h(g[x],c[x]));d[v]=y}return e.createDenseMatrix({data:d,size:[l],datatype:a})},"SparseMatrix, any":function(e,r){var o=e._values,u=e._index,s=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=[],g=[],y=n,x=i,b=a,w=0;c&&p&&c===p&&"string"==typeof c&&(f=c,y=t.find(n,[f,f]),x=t.find(i,[f,f]),b=t.find(a,[f,f]),w=t.convert(0,f));var N=[],D=[];g[0]=0;for(var E=0;E<h;E++){var A=l[E];if(!b(A,w))for(var S=s[E],C=s[E+1],M=S;M<C;M++){var F=u[M];D[F]?N[F]=y(N[F],x(A,o[M])):(D[F]=!0,v.push(F),N[F]=x(A,o[M]))}}for(var O=v.length,T=0;T<O;T++){var B=v[T];d[T]=N[B]}return g[1]=v.length,e.createSparseMatrix({values:d,index:v,ptr:g,size:[m,1],datatype:f})}}),p=t("_multiplyMatrixMatrix",{"DenseMatrix, DenseMatrix":function(e,r){var a,o=e._data,u=e._size,s=e._datatype,c=r._data,f=r._size,l=r._datatype,p=u[0],m=u[1],h=f[1],d=n,v=i;s&&l&&s===l&&"string"==typeof s&&(a=s,d=t.find(n,[a,a]),v=t.find(i,[a,a]));for(var g=[],y=0;y<p;y++){var x=o[y];g[y]=[];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]));g[y][b]=w}}return e.createDenseMatrix({data:g,size:[p,h],datatype:a})},"DenseMatrix, SparseMatrix":function(e,r){var o=e._data,u=e._size,s=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=u[0],v=p[1],g=n,y=i,x=a,b=0;s&&m&&s===m&&"string"==typeof s&&(h=s,g=t.find(n,[h,h]),y=t.find(i,[h,h]),x=t.find(a,[h,h]),b=t.convert(0,h));for(var w=[],N=[],D=[],E=r.createSparseMatrix({values:w,index:N,ptr:D,size:[d,v],datatype:h}),A=0;A<v;A++){D[A]=N.length;var S=l[A],C=l[A+1];if(C>S)for(var M=0,F=0;F<d;F++){for(var O=F+1,T=void 0,B=S;B<C;B++){var _=f[B];M!==O?(T=y(o[F][_],c[B]),M=O):T=g(T,y(o[F][_],c[B]))}M!==O||x(T,b)||(N.push(F),w.push(T))}}return D[v]=N.length,E},"SparseMatrix, DenseMatrix":function(e,r){var o=e._values,u=e._index,s=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,g=i,y=a,x=0;c&&p&&c===p&&"string"==typeof c&&(f=c,v=t.find(n,[f,f]),g=t.find(i,[f,f]),y=t.find(a,[f,f]),x=t.convert(0,f));for(var b=[],w=[],N=[],D=e.createSparseMatrix({values:b,index:w,ptr:N,size:[m,d],datatype:f}),E=[],A=[],S=0;S<d;S++){N[S]=w.length;for(var C=S+1,M=0;M<h;M++){var F=l[M][S];if(!y(F,x))for(var O=s[M],T=s[M+1],B=O;B<T;B++){var _=u[B];A[_]!==C?(A[_]=C,w.push(_),E[_]=g(F,o[B])):E[_]=v(E[_],g(F,o[B]))}}for(var k=N[S],I=w.length,R=k;R<I;R++){var z=w[R];b[R]=E[z]}}return N[d]=w.length,D},"SparseMatrix, SparseMatrix":function(e,r){var a,o=e._values,u=e._index,s=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,g=n,y=i;c&&m&&c===m&&"string"==typeof c&&(a=c,g=t.find(n,[a,a]),y=t.find(i,[a,a]));for(var x,b,w,N,D,E,A,S,C=v?[]:void 0,M=[],F=[],O=e.createSparseMatrix({values:C,index:M,ptr:F,size:[h,d],datatype:a}),T=v?[]:void 0,B=[],_=0;_<d;_++){F[_]=M.length;var k=_+1;for(D=p[_],E=p[_+1],N=D;N<E;N++)if(S=l[N],v)for(b=s[S],w=s[S+1],x=b;x<w;x++)B[A=u[x]]!==k?(B[A]=k,M.push(A),T[A]=y(f[N],o[x])):T[A]=g(T[A],y(f[N],o[x]));else for(b=s[S],w=s[S+1],x=b;x<w;x++)B[A=u[x]]!==k&&(B[A]=k,M.push(A));if(v)for(var I=F[_],R=M.length,z=I;z<R;z++){var q=M[z];C[z]=T[q]}}return F[d]=M.length,O}});return t(fi,i,{"Array, Array":t.referTo("Matrix, Matrix",(function(e){return function(t,n){c(ht(t),ht(n));var i=e(r(t),r(n));return l(i)?i.valueOf():i}})),"Matrix, Matrix":function(e,r){var a=e.size(),u=r.size();return c(a,u),1===a.length?1===u.length?function(e,t,r){if(0===r)throw new Error("Cannot multiply two empty vectors");return o(e,t)}(e,r,a[0]):function(e,r){if("dense"!==r.storage())throw new Error("Support for SparseMatrix not implemented");return function(e,r){var a,o=e._data,u=e._size,s=e._datatype,c=r._data,f=r._size,l=r._datatype,p=u[0],m=f[1],h=n,d=i;s&&l&&s===l&&"string"==typeof s&&(a=s,h=t.find(n,[a,a]),d=t.find(i,[a,a]));for(var v=[],g=0;g<m;g++){for(var y=d(o[0],c[0][g]),x=1;x<p;x++)y=h(y,d(o[x],c[x][g]));v[g]=y}return e.createDenseMatrix({data:v,size:[m],datatype:a})}(e,r)}(e,r):1===u.length?f(e,r):p(e,r)},"Matrix, Array":t.referTo("Matrix,Matrix",(function(e){return function(t,n){return e(t,r(n))}})),"Array, Matrix":t.referToSelf((function(e){return function(t,n){return e(r(t,n.storage()),n)}})),"SparseMatrix, any":function(e,t){return u(e,t,i,!1)},"DenseMatrix, any":function(e,t){return s(e,t,i,!1)},"any, SparseMatrix":function(e,t){return u(t,e,i,!0)},"any, DenseMatrix":function(e,t){return s(t,e,i,!0)},"Array, any":function(e,t){return s(r(e),t,i,!1).valueOf()},"any, Array":function(e,t){return s(r(t),e,i,!0).valueOf()},"any, any":i,"any, any, ...any":t.referToSelf((function(e){return function(t,r,n){for(var i=e(t,r),a=0;a<n.length;a++)i=e(i,n[a]);return i}}))})})),pi="nthRoot",mi=De(pi,["typed","matrix","equalScalar","BigNumber"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.BigNumber,a=Zn({typed:t}),o=Kn({typed:t,equalScalar:n}),u=ei({typed:t,equalScalar:n}),s=Cn({typed:t,equalScalar:n}),c=Xn({typed:t,matrix:r});function f(){throw new Error("Complex number not supported in function nthRoot. Use nthRoots instead.")}return t(pi,{number:on,"number, number":on,BigNumber:function(e){return l(e,new i(2))},"BigNumber, BigNumber":l,Complex:f,"Complex, number":f,Array:t.referTo("DenseMatrix,number",(function(e){return function(t){return e(r(t),2).valueOf()}})),DenseMatrix:t.referTo("DenseMatrix,number",(function(e){return function(t){return e(t,2)}})),SparseMatrix:t.referTo("SparseMatrix,number",(function(e){return function(t){return e(t,2)}})),"SparseMatrix, SparseMatrix":t.referToSelf((function(e){return function(t,r){if(1===r.density())return u(t,r,e);throw new Error("Root must be non-zero")}})),"DenseMatrix, SparseMatrix":t.referToSelf((function(e){return function(t,r){if(1===r.density())return a(t,r,e,!1);throw new Error("Root must be non-zero")}})),"Array, SparseMatrix":t.referTo("DenseMatrix,SparseMatrix",(function(e){return function(t,n){return e(r(t),n)}})),"number | BigNumber, SparseMatrix":t.referToSelf((function(e){return function(t,r){if(1===r.density())return s(r,t,e,!0);throw new Error("Root must be non-zero")}}))},c({scalar:"number | BigNumber",SD:o,Ss:s,sS:!1}));function l(e,t){var r=i.precision,n=i.clone({precision:r+2}),a=new i(0),o=new n(1),u=t.isNegative();if(u&&(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 u?new n(1/0):0;if(!e.isFinite())return u?a:e;var s=e.abs().pow(o.div(t));return s=e.isNeg()?s.neg():s,new i((u?o.div(s):s).toPrecision(r))}})),hi="sign",di=De(hi,["typed","BigNumber","Fraction","complex"],(function(e){var t=e.typed,r=e.BigNumber,n=e.complex,i=e.Fraction;return t(hi,{number:un,Complex:function(e){return 0===e.im?n(un(e.re)):e.sign()},BigNumber:function(e){return new r(e.cmp(0))},Fraction:function(e){return new i(e.s,1)},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e,!0)}})),Unit:t.referToSelf((function(e){return function(r){if(!r._isDerived()&&0!==r.units[0].unit.offset)throw new TypeError("sign is ambiguous for units with offset");return t.find(e,r.valueType())(r.value)}}))})})),vi=De("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())},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()}})),gi="square",yi=De(gi,["typed"],(function(e){return(0,e.typed)(gi,{number:sn,Complex:function(e){return e.mul(e)},BigNumber:function(e){return e.times(e)},Fraction:function(e){return e.mul(e)},Unit:function(e){return e.pow(2)}})})),xi="subtract",bi=De(xi,["typed","matrix","equalScalar","addScalar","unaryMinus","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=(e.addScalar,e.unaryMinus,e.DenseMatrix),a=Zn({typed:t}),o=oi({typed:t}),u=ui({typed:t,equalScalar:n}),s=Jn({typed:t,DenseMatrix:i}),c=Mn({typed:t,DenseMatrix:i}),f=Xn({typed:t,matrix:r});return t(xi,{"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":t.referToSelf((function(e){return function(r,n){if(null===r.value)throw new Error("Parameter x contains a unit with undefined value");if(null===n.value)throw new Error("Parameter y contains a unit with undefined value");if(!r.equalBase(n))throw new Error("Units do not match");var i=r.clone();return i.value=t.find(e,[i.valueType(),n.valueType()])(i.value,n.value),i.fixPrefix=!1,i}}))},f({SS:u,DS:a,SD:o,Ss:c,sS:s}))})),wi="xgcd",Ni=De(wi,["typed","config","matrix","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.BigNumber;return t(wi,{"number, number":function(e,t){var i=cn(e,t);return"Array"===r.matrix?i:n(i)},"BigNumber, BigNumber":function(e,t){var a,o,u,s,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(),u=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=u;return s=e.lt(c)?[e.neg(),p.neg(),h.neg()]:[e,e.isZero()?0:p,h],"Array"===r.matrix?s:n(s)}})})),Di="invmod",Ei=De(Di,["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,u=e.add,s=e.isInteger;return t(Di,{"number, number":c,"BigNumber, BigNumber":c});function c(e,t){if(!s(e)||!s(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=Sn(c=c.valueOf(),2),l=f[0],p=f[1];return i(l,r(1))?(p=o(p,t),a(p,r(0))&&(p=u(p,t)),p):NaN}})),Ai=De("matAlgo09xS0Sf",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i){var a=e._values,o=e._index,u=e._ptr,s=e._size,c=e._datatype,f=n._values,l=n._index,p=n._ptr,m=n._size,h=n._datatype;if(s.length!==m.length)throw new pt(s.length,m.length);if(s[0]!==m[0]||s[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+s+") must match Matrix B ("+m+")");var d,v=s[0],g=s[1],y=r,x=0,b=i;"string"==typeof c&&c===h&&(d=c,y=t.find(r,[d,d]),x=t.convert(0,d),b=t.find(i,[d,d]));var w,N,D,E,A,S=a&&f?[]:void 0,C=[],M=[],F=S?[]:void 0,O=[];for(N=0;N<g;N++){M[N]=C.length;var T=N+1;if(F)for(E=p[N],A=p[N+1],D=E;D<A;D++)O[w=l[D]]=T,F[w]=f[D];for(E=u[N],A=u[N+1],D=E;D<A;D++)if(w=o[D],F){var B=O[w]===T?F[w]:x,_=b(a[D],B);y(_,x)||(C.push(w),S.push(_))}else C.push(w)}return M[g]=C.length,e.createSparseMatrix({values:S,index:C,ptr:M,size:[v,g],datatype:d})}})),Si="dotMultiply",Ci=De(Si,["typed","matrix","equalScalar","multiplyScalar"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.multiplyScalar,a=Kn({typed:t,equalScalar:n}),o=Ai({typed:t,equalScalar:n}),u=Cn({typed:t,equalScalar:n}),s=Xn({typed:t,matrix:r});return t(Si,s({elop:i,SS:o,DS:a,Ss:u}))}));function Mi(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 Ti(e,t,(function(e,t){return e&t}))}function Fi(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 Oi(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()?Ti(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 Ti(e,t,r){var n,i,a,o,u,s=e.constructor,c=+(e.s<0),f=+(t.s<0);if(c){n=Bi(Fi(e));for(var l=0;l<n.length;++l)n[l]^=1}else n=Bi(e);if(f){i=Bi(Fi(t));for(var p=0;p<i.length;++p)i[p]^=1}else i=Bi(t);n.length<=i.length?(a=n,o=i,u=c):(a=i,o=n,u=f);var m=a.length,h=o.length,d=1^r(c,f),v=new s(1^d),g=new s(1),y=new s(2),x=s.precision;for(s.config({precision:1e9});m>0;)r(a[--m],o[--h])===d&&(v=v.plus(g)),g=g.times(y);for(;h>0;)r(u,o[--h])===d&&(v=v.plus(g)),g=g.times(y);return s.config({precision:x}),0===d&&(v.s=-v.s),v}function Bi(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 u=e.e,s=r.slice(0,o+1||1),c=s.length;if(u>0)if(++u>c)for(u-=c;u--;)s+="0";else u<c&&(s=s.slice(0,u)+"."+s.slice(u));for(var f=[0],l=0;l<s.length;){for(var p=f.length;p--;)f[p]*=10;f[0]+=parseInt(s.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 _i(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)?Fi(t):t.eq(n)?Fi(e):e.isFinite()&&t.isFinite()?Ti(e,t,(function(e,t){return e^t})):e.isFinite()||t.isFinite()?new r(e.isNegative()===t.isNegative()?1/0:-1/0):n}function ki(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 Ii(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)}r(5069);var Ri="number, number";function zi(e,t){if(!G(e)||!G(t))throw new Error("Integers expected in function bitAnd");return e&t}function qi(e){if(!G(e))throw new Error("Integer expected in function bitNot");return~e}function ji(e,t){if(!G(e)||!G(t))throw new Error("Integers expected in function bitOr");return e|t}function Pi(e,t){if(!G(e)||!G(t))throw new Error("Integers expected in function bitXor");return e^t}function Li(e,t){if(!G(e)||!G(t))throw new Error("Integers expected in function leftShift");return e<<t}function Ui(e,t){if(!G(e)||!G(t))throw new Error("Integers expected in function rightArithShift");return e>>t}function $i(e,t){if(!G(e)||!G(t))throw new Error("Integers expected in function rightLogShift");return e>>>t}zi.signature=Ri,qi.signature="number",ji.signature=Ri,Pi.signature=Ri,Li.signature=Ri,Ui.signature=Ri,$i.signature=Ri;var Hi="bitAnd",Gi=De(Hi,["typed","matrix","equalScalar"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=Kn({typed:t,equalScalar:n}),a=ei({typed:t,equalScalar:n}),o=Cn({typed:t,equalScalar:n}),u=Xn({typed:t,matrix:r});return t(Hi,{"number, number":zi,"BigNumber, BigNumber":Mi},u({SS:a,DS:i,Ss:o}))})),Vi="bitNot",Zi=De(Vi,["typed"],(function(e){var t=e.typed;return t(Vi,{number:qi,BigNumber:Fi,"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),Wi="bitOr",Ji=De(Wi,["typed","matrix","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.DenseMatrix,a=Zn({typed:t}),o=Wn({typed:t,equalScalar:n}),u=Jn({typed:t,DenseMatrix:i}),s=Xn({typed:t,matrix:r});return t(Wi,{"number, number":ji,"BigNumber, BigNumber":Oi},s({SS:o,DS:a,Ss:u}))})),Yi=De("matAlgo07xSSf",["typed","DenseMatrix"],(function(e){var t=e.typed,r=e.DenseMatrix;return function(e,i,a){var o=e._size,u=e._datatype,s=i._size,c=i._datatype;if(o.length!==s.length)throw new pt(o.length,s.length);if(o[0]!==s[0]||o[1]!==s[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+s+")");var f,l,p,m=o[0],h=o[1],d=0,v=a;"string"==typeof u&&u===c&&(f=u,d=t.convert(0,f),v=t.find(a,[f,f]));var g=[];for(l=0;l<m;l++)g[l]=[];var y=[],x=[],b=[],w=[];for(p=0;p<h;p++){var N=p+1;for(n(e,p,b,y,N),n(i,p,w,x,N),l=0;l<m;l++){var D=b[l]===N?y[l]:d,E=w[l]===N?x[l]:d;g[l][p]=v(D,E)}}return new r({data:g,size:[m,h],datatype:f})};function n(e,t,r,n,i){for(var a=e._values,o=e._index,u=e._ptr,s=u[t],c=u[t+1];s<c;s++){var f=o[s];r[f]=i,n[f]=a[s]}}})),Xi="bitXor",Qi=De(Xi,["typed","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.DenseMatrix,i=oi({typed:t}),a=Yi({typed:t,DenseMatrix:n}),o=Mn({typed:t,DenseMatrix:n}),u=Xn({typed:t,matrix:r});return t(Xi,{"number, number":Pi,"BigNumber, BigNumber":_i},u({SS:a,DS:i,Ss:o}))})),Ki=De("arg",["typed"],(function(e){var t=e.typed;return t("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":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),ea="conj",ta=De(ea,["typed"],(function(e){var t=e.typed;return t(ea,{"number | BigNumber | Fraction":function(e){return e},Complex:function(e){return e.conjugate()},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),ra=De("im",["typed"],(function(e){var t=e.typed;return t("im",{number:function(){return 0},"BigNumber | Fraction":function(e){return e.mul(0)},Complex:function(e){return e.im},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),na=De("re",["typed"],(function(e){var t=e.typed;return t("re",{"number | BigNumber | Fraction":function(e){return e},Complex:function(e){return e.re},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),ia="number, number";function aa(e){return!e}function oa(e,t){return!(!e&&!t)}function ua(e,t){return!!e!=!!t}function sa(e,t){return!(!e||!t)}aa.signature="number",oa.signature=ia,ua.signature=ia,sa.signature=ia;var ca=De("not",["typed"],(function(e){var t=e.typed;return t("not",{"null | undefined":function(){return!0},number:aa,Complex:function(e){return 0===e.re&&0===e.im},BigNumber:function(e){return e.isZero()||e.isNaN()},Unit:t.referToSelf((function(e){return function(r){return t.find(e,r.valueType())(r.value)}})),"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),fa=De("or",["typed","matrix","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.DenseMatrix,a=oi({typed:t}),o=ui({typed:t,equalScalar:n}),u=Mn({typed:t,DenseMatrix:i}),s=Xn({typed:t,matrix:r});return t("or",{"number, number":oa,"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":t.referToSelf((function(e){return function(t,r){return e(t.value||0,r.value||0)}}))},s({SS:o,DS:a,Ss:u}))})),la=De("xor",["typed","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.DenseMatrix,i=oi({typed:t}),a=Yi({typed:t,DenseMatrix:n}),o=Mn({typed:t,DenseMatrix:n}),u=Xn({typed:t,matrix:r});return t("xor",{"number, number":ua,"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":t.referToSelf((function(e){return function(t,r){return e(t.value||0,r.value||0)}}))},u({SS:a,DS:i,Ss:o}))})),pa="concat",ma=De(pa,["typed","matrix","isInteger"],(function(e){var t=e.typed,r=e.matrix,n=e.isInteger;return t(pa,{"...Array | Matrix | number | BigNumber":function(e){var t,o,u=e.length,s=-1,c=!1,f=[];for(t=0;t<u;t++){var p=e[t];if(l(p)&&(c=!0),i(p)||a(p)){if(t!==u-1)throw new Error("Dimension must be specified as last argument");if(o=s,s=p.valueOf(),!n(s))throw new TypeError("Integer number expected for dimension");if(s<0||t>0&&s>o)throw new mt(s,o+1)}else{var m=me(p).valueOf(),h=ht(m);if(f[t]=m,o=s,s=h.length-1,t>0&&s!==o)throw new pt(o+1,s+1)}}if(0===f.length)throw new SyntaxError("At least one matrix expected");for(var d=f.shift();f.length;)d=ha(d,f.shift(),s,0);return c?r(d):d},"...string":function(e){return e.join("")}})}));function ha(e,t,r,n){if(n<r){if(e.length!==t.length)throw new pt(e.length,t.length);for(var i=[],a=0;a<e.length;a++)i[a]=ha(e[a],t[a],r,n+1);return i}return e.concat(t)}var da="column",va=De(da,["typed","Index","matrix","range"],(function(e){var t=e.typed,r=e.Index,n=e.matrix,i=e.range;return t(da,{"Matrix, number":a,"Array, number":function(e,t){return a(n(me(e)),t).valueOf()}});function a(e,t){if(2!==e.size().length)throw new Error("Only two dimensional matrix is supported");gt(t,e.size()[1]);var n=i(0,e.size()[0]),a=new r(n,t);return e.subset(a)}})),ga="count",ya=De(ga,["typed","size","prod"],(function(e){var t=e.typed,r=e.size,n=e.prod;return t(ga,{string:function(e){return e.length},"Matrix | Array":function(e){return n(r(e))}})})),xa="cross",ba=De(xa,["typed","matrix","subtract","multiply"],(function(e){var t=e.typed,r=e.matrix,n=e.subtract,i=e.multiply;return t(xa,{"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(ht(e).length,ht(t).length);e=Dt(e),t=Dt(t);var a=ht(e),o=ht(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 u=[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?[u]:u}})),wa="diag",Na=De(wa,["typed","matrix","DenseMatrix","SparseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.DenseMatrix,i=e.SparseMatrix;return t(wa,{Array:function(e){return a(e,0,ht(e),null)},"Array, number":function(e,t){return a(e,t,ht(e),null)},"Array, BigNumber":function(e,t){return a(e,t.toNumber(),ht(e),null)},"Array, string":function(e,t){return a(e,0,ht(e),t)},"Array, number, string":function(e,t,r){return a(e,t,ht(e),r)},"Array, BigNumber, string":function(e,t,r){return a(e,t.toNumber(),ht(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(!G(t))throw new TypeError("Second parameter in function diag must be an integer");var u=t>0?t:0,s=t<0?-t:0;switch(a.length){case 1:return function(e,t,r,a,o,u){var s=[a+o,a+u];if(r&&"sparse"!==r&&"dense"!==r)throw new TypeError("Unknown matrix type ".concat(r,'"'));var c="sparse"===r?i.diagonal(s,e,t):n.diagonal(s,e,t);return null!==r?c:c.valueOf()}(e,t,o,a[0],s,u);case 2:return function(e,t,n,i,a,o){if(l(e)){var u=e.diagonal(t);return null!==n?n!==u.storage()?r(u,n):u:u.valueOf()}for(var s=Math.min(i[0]-a,i[1]-o),c=[],f=0;f<s;f++)c[f]=e[f+a][f+o];return null!==n?r(c):c}(e,t,o,a,s,u)}throw new RangeError("Matrix for function diag must be 2 dimensional")}})),Da=De("filter",["typed"],(function(e){return(0,e.typed)("filter",{"Array, function":Ea,"Matrix, function":function(e,t){return e.create(Ea(e.toArray(),t))},"Array, RegExp":Tt,"Matrix, RegExp":function(e,t){return e.create(Tt(e.toArray(),t))}})}));function Ea(e,t){var r=jt(t);return Ot(e,(function(e,n,i){return 1===r?t(e):2===r?t(e,[n]):t(e,[n],i)}))}var Aa="flatten",Sa=De(Aa,["typed","matrix"],(function(e){var t=e.typed,r=e.matrix;return t(Aa,{Array:function(e){return Ct(me(e))},Matrix:function(e){var t=Ct(me(e.toArray()));return r(t)}})})),Ca="forEach",Ma=De(Ca,["typed"],(function(e){return(0,e.typed)(Ca,{"Array, function":Fa,"Matrix, function":function(e,t){return e.forEach(t)}})}));function Fa(e,t){var r=jt(t);!function n(i,a){Array.isArray(i)?Ft(i,(function(e,t){n(e,a.concat(t))})):1===r?t(i):2===r?t(i,a):t(i,a,e)}(e,[])}var Oa="getMatrixDataType",Ta=De(Oa,["typed"],(function(e){return(0,e.typed)(Oa,{Array:function(e){return It(e,$)},Matrix:function(e){return e.getDataType()}})})),Ba="identity",_a=De(Ba,["typed","config","matrix","BigNumber","DenseMatrix","SparseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.BigNumber,o=e.DenseMatrix,u=e.SparseMatrix;return t(Ba,{"":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 s(e)},"Array, string":function(e,t){return s(e,t)},Matrix:function(e){return s(e.valueOf(),e.storage())},"Matrix, string":function(e,t){return s(e.valueOf(),t)}});function s(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=a(e)||a(t)?i:null;if(a(e)&&(e=e.toNumber()),a(t)&&(t=t.toNumber()),!G(e)||e<1)throw new Error("Parameters in function identity must be positive integers");if(!G(t)||t<1)throw new Error("Parameters in function identity must be positive integers");var s=n?new i(1):1,c=n?new n(0):0,f=[e,t];if(r){if("sparse"===r)return u.diagonal(f,s,0,c);if("dense"===r)return o.diagonal(f,s,0,c);throw new TypeError('Unknown matrix type "'.concat(r,'"'))}for(var l=yt([],f,c),p=e<t?e:t,m=0;m<p;m++)l[m][m]=s;return l}})),ka="kron",Ia=De(ka,["typed","matrix","multiplyScalar"],(function(e){var t=e.typed,r=e.matrix,n=e.multiplyScalar;return t(ka,{"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===ht(e).length&&(e=[e]),1===ht(t).length&&(t=[t]),ht(e).length>2||ht(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}})),Ra=De("map",["typed"],(function(e){return(0,e.typed)("map",{"Array, function":za,"Matrix, function":function(e,t){return e.map(t)}})}));function za(e,t){var r=jt(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),u=JSON.stringify(a);throw 2===r?o+=","+u:1!==r&&(o+=",".concat(u,",").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 qa="diff",ja=De(qa,["typed","matrix","subtract","number"],(function(e){var t=e.typed,r=e.matrix,n=e.subtract,i=e.number;return t(qa,{"Array | Matrix":function(e){return l(e)?r(o(e.toArray())):o(e)},"Array | Matrix, number":function(e,t){if(!G(t))throw new RangeError("Dimension must be a whole number");return l(e)?r(a(e.toArray(),t)):a(e,t)},"Array, BigNumber":t.referTo("Array,number",(function(e){return function(t,r){return e(t,i(r))}})),"Matrix, BigNumber":t.referTo("Matrix,number",(function(e){return function(t,r){return e(t,i(r))}}))});function a(e,t){if(l(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){for(var t=[],r=e.length,n=1;n<r;n++)t.push(u(e[n-1],e[n]));return t}function u(e,t){l(e)&&(e=e.toArray()),l(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(u(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")}})),Pa=De("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?o([]):o([],"default")},"...number | BigNumber | string":function(e){if("string"==typeof e[e.length-1]){var t=e.pop();return o(e,t)}return"Array"===r.matrix?o(e):o(e,"default")},Array:o,Matrix:function(e){var t=e.storage();return o(e.valueOf(),t)},"Array | Matrix, string":function(e,t){return o(e.valueOf(),t)}});function o(e,t){var r=function(e){var t=!1;return e.forEach((function(e,r,n){a(e)&&(t=!0,n[r]=e.toNumber())})),t}(e),o=r?new i(1):1;if(function(e){e.forEach((function(e){if("number"!=typeof e||!G(e)||e<0)throw new Error("Parameters in function ones must be positive integers")}))}(e),t){var u=n(t);return e.length>0?u.resize(e,o):u}var s=[];return e.length>0?yt(s,e,o):s}}));function La(){throw new Error('No "bignumber" implementation available')}function Ua(){throw new Error('No "fraction" implementation available')}function $a(){throw new Error('No "matrix" implementation available')}var Ha="range",Ga=De(Ha,["typed","config","?matrix","?bignumber","smaller","smallerEq","larger","largerEq"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.bignumber,a=e.smaller,o=e.smallerEq,u=e.larger,s=e.largerEq;return t(Ha,{string:f,"string, boolean":f,"number, number":function(e,t){return c(l(e,t,1))},"number, number, number":function(e,t,r){return c(l(e,t,r))},"number, number, boolean":function(e,t,r){return c(r?p(e,t,1):l(e,t,1))},"number, number, number, boolean":function(e,t,r,n){return c(n?p(e,t,r):l(e,t,r))},"BigNumber, BigNumber":function(e,t){return c(m(e,t,new(0,e.constructor)(1)))},"BigNumber, BigNumber, BigNumber":function(e,t,r){return c(m(e,t,r))},"BigNumber, BigNumber, boolean":function(e,t,r){var n=e.constructor;return c(r?h(e,t,new n(1)):m(e,t,new n(1)))},"BigNumber, BigNumber, BigNumber, boolean":function(e,t,r,n){return c(n?h(e,t,r):m(e,t,r))}});function c(e){return"Matrix"===r.matrix?n?n(e):$a():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&&La(),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(;u(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(;s(i,t);)n.push(i),i+=r;return n}function m(e,t,r){var n=i(0),o=[],s=e;if(r.gt(n))for(;a(s,t);)o.push(s),s=s.plus(r);else if(r.lt(n))for(;u(s,t);)o.push(s),s=s.plus(r);return o}function h(e,t,r){var n=i(0),a=[],u=e;if(r.gt(n))for(;o(u,t);)a.push(u),u=u.plus(r);else if(r.lt(n))for(;s(u,t);)a.push(u),u=u.plus(r);return a}})),Va="reshape",Za=De(Va,["typed","isInteger","matrix"],(function(e){var t=e.typed,r=e.isInteger;return t(Va,{"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)})),bt(e,t)}})}));function Wa(e,t,r,n){if(!(this instanceof Wa))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}Wa.prototype=new Error,Wa.prototype.constructor=Error,Wa.prototype.name="ArgumentsError",Wa.prototype.isArgumentsError=!0;var Ja=De("resize",["config","matrix"],(function(e){var t=e.config,r=e.matrix;return function(e,i,o){if(2!==arguments.length&&3!==arguments.length)throw new Wa("resize",arguments.length,2,3);if(l(i)&&(i=i.valueOf()),a(i[0])&&(i=i.map((function(e){return a(e)?e.toNumber():e}))),l(e))return e.resize(i,o,!0);if("string"==typeof e)return n(e,i,o);var u=!Array.isArray(e)&&"Array"!==t.matrix;if(0===i.length){for(;Array.isArray(e);)e=e[0];return me(e)}Array.isArray(e)||(e=[e]);var s=yt(e=me(e),i,o);return u?r(s):s};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 pt(t.length,1);var n=t[0];if("number"!=typeof n||!G(n))throw new TypeError("Invalid size, must contain positive integers (size: "+ut(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}})),Ya="rotate",Xa=De(Ya,["typed","multiply","rotationMatrix"],(function(e){var t=e.typed,r=e.multiply,n=e.rotationMatrix;return t(Ya,{"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)?ht(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))}})),Qa="rotationMatrix",Ka=De(Qa,["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,o=e.unaryMinus,u=e.norm,s=e.BigNumber,c=e.matrix,f=e.DenseMatrix,l=e.SparseMatrix,p=e.cos,m=e.sin;return t(Qa,{"":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),y(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 y(e,t,n)},"number | BigNumber | Complex | Unit, Array, string":function(e,t,r){var n=c(t);return d(n),y(e,n,r)},"number | BigNumber | Complex | Unit, Matrix, string":function(e,t,r){return d(t),y(e,t,r)}});function h(e,t){var r=a(e)?new s(-1):-1,i=p(e),o=m(e);return g([[i,n(r,o)],[o,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 g(e,t){if(t){if("sparse"===t)return new l(e);if("dense"===t)return new f(e);throw new TypeError('Unknown matrix type "'.concat(t,'"'))}return e}function y(e,t,r){var n=u(t);if(0===n)throw new RangeError("Rotation around zero vector");var c=a(e)?s: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,y=c?new c(t.get([2])/n):t.get([2])/n,x=p(e),b=i(f,o(x)),w=m(e);return g([[i(x,v([h,h,b])),i(v([h,d,b]),v([l,y,w])),i(v([h,y,b]),v([d,w]))],[i(v([h,d,b]),v([y,w])),i(x,v([d,d,b])),i(v([d,y,b]),v([l,h,w]))],[i(v([h,y,b]),v([l,d,w])),i(v([d,y,b]),v([h,w])),i(x,v([y,y,b]))]],r)}})),eo=De("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(me(e)),t).valueOf()}});function a(e,t){if(2!==e.size().length)throw new Error("Only two dimensional matrix is supported");gt(t,e.size()[0]);var n=i(0,e.size()[1]),a=new r(t,n);return e.subset(a)}})),to="size",ro=De(to,["typed","config","?matrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix;return t(to,{Matrix:function(e){return e.create(e.size())},Array:ht,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([]):$a()}})})),no="squeeze",io=De(no,["typed","matrix"],(function(e){var t=e.typed,r=e.matrix;return t(no,{Array:function(e){return Dt(me(e))},Matrix:function(e){var t=Dt(e.toArray());return Array.isArray(t)?r(t):t},any:function(e){return me(e)}})})),ao="subset",oo=De(ao,["typed","matrix"],(function(e){var t=e.typed,r=e.matrix;return t(ao,{"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":co,"string, Index":uo,"Array, Index, any":function(e,t,n){return r(me(e)).subset(t,n,void 0).valueOf()},"Array, Index, any, any":function(e,t,n,i){return r(me(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":so,"string, Index, string, string":so,"Object, Index, any":fo})}));function uo(e,t){if(!v(t))throw new TypeError("Index expected");if(1!==t.size().length)throw new pt(t.size().length,1);var r=e.length;gt(t.min()[0],r),gt(t.max()[0],r);var n=t.dimension(0),i="";return n.forEach((function(t){i+=e.charAt(t)})),i}function so(e,t,r,n){if(!t||!0!==t.isIndex)throw new TypeError("Index expected");if(1!==t.size().length)throw new pt(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 pt(i.size()[0],r.length);var a=e.length;gt(t.min()[0]),gt(t.max()[0]);for(var o=[],u=0;u<a;u++)o[u]=e.charAt(u);if(i.forEach((function(e,t){o[e]=r.charAt(t[0])})),o.length>a)for(var s=a-1,c=o.length;s<c;s++)o[s]||(o[s]=n);return o.join("")}function co(e,t){if(1!==t.size().length)throw new pt(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 Fe(e,r)}function fo(e,t,r){if(1!==t.size().length)throw new pt(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=me(e);return Oe(i,n,r),i}var lo="transpose",po=De(lo,["typed","matrix"],(function(e){var t=e.typed,r=e.matrix;return t(lo,{Array:function(e){return n(r(e)).valueOf()},Matrix:n,any:me});function n(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: "+ut(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 u=0;u<t;u++)n[u]=me(i[u][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,u=e._index,s=e._ptr,c=o?[]:void 0,f=[],l=[],p=[],m=0;m<t;m++)p[m]=0;for(n=0,i=u.length;n<i;n++)p[u[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=s[a],g=s[a+1],y=v;y<g;y++){var x=p[u[y]]++;f[x]=a,o&&(c[x]=me(o[y]))}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: "+ut(r)+")")}return t}})),mo="ctranspose",ho=De(mo,["typed","transpose","conj"],(function(e){var t=e.typed,r=e.transpose,n=e.conj;return t(mo,{any:function(e){return n(r(e))}})})),vo="zeros",go=De(vo,["typed","config","matrix","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.BigNumber;return t(vo,{"":function(){return"Array"===r.matrix?o([]):o([],"default")},"...number | BigNumber | string":function(e){if("string"==typeof e[e.length-1]){var t=e.pop();return o(e,t)}return"Array"===r.matrix?o(e):o(e,"default")},Array:o,Matrix:function(e){var t=e.storage();return o(e.valueOf(),t)},"Array | Matrix, string":function(e,t){return o(e.valueOf(),t)}});function o(e,t){var r=function(e){var t=!1;return e.forEach((function(e,r,n){a(e)&&(t=!0,n[r]=e.toNumber())})),t}(e),o=r?new i(0):0;if(function(e){e.forEach((function(e){if("number"!=typeof e||!G(e)||e<0)throw new Error("Parameters in function zeros must be positive integers")}))}(e),t){var u=n(t);return e.length>0?u.resize(e,o):u}var s=[];return e.length>0?yt(s,e,o):s}}));function yo(e){return function(e){if(Array.isArray(e))return En(e)}(e)||function(e){if("undefined"!=typeof Symbol&&null!=e[Symbol.iterator]||null!=e["@@iterator"])return Array.from(e)}(e)||An(e)||function(){throw new TypeError("Invalid attempt to spread non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.")}()}r(3290);var xo=De("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,u=e.i;return t("fft",{Array:s,Matrix:function(e){return e.create(s(e.toArray()))}});function s(e){var t=ht(e);return 1===t.length?f(e,t[0]):c(e.map((function(e){return s(e,t.slice(1))})),0)}function c(e,t){var r=ht(e);if(0!==t)return new Array(r[0]).fill(0).map((function(r,n){return c(e[n],t-1)}));if(1===r.length)return f(e);function n(e){var t=ht(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 n(c(n(e),1))}function f(e){var t=e.length;if(1===t)return[e[0]];if(t%2==0){for(var s=[].concat(yo(f(e.filter((function(e,t){return t%2==0})))),yo(f(e.filter((function(e,t){return t%2==1}))))),c=0;c<t/2;c++){var l=s[c],p=n(s[c+t/2],a(n(n(o,u),i(-c,t))));s[c]=r(l,p),s[c+t/2]=r(l,n(-1,p))}return s}throw new Error("Can only calculate FFT of power-of-two size")}})),bo="ifft",wo=De(bo,["typed","fft","dotDivide","conj"],(function(e){var t=e.typed,r=e.fft,n=e.dotDivide,i=e.conj;return t(bo,{"Array | Matrix":function(e){var t=l(e)?e.size():ht(e);return n(i(r(i(e))),t.reduce((function(e,t){return e*t}),1))}})})),No=De("erf",["typed"],(function(e){var t=e.typed;return t("name",{number:function(e){var t=Math.abs(e);return t>=Co?V(e):t<=Do?V(e)*function(e){var t,r=e*e,n=Ao[0][4]*r,i=r;for(t=0;t<3;t+=1)n=(n+Ao[0][t])*r,i=(i+So[0][t])*r;return e*(n+Ao[0][3])/(i+So[0][3])}(t):t<=4?V(e)*(1-function(e){var t,r=Ao[1][8]*e,n=e;for(t=0;t<7;t+=1)r=(r+Ao[1][t])*e,n=(n+So[1][t])*e;var i=(r+Ao[1][7])/(n+So[1][7]),a=parseInt(16*e)/16,o=(e-a)*(e+a);return Math.exp(-a*a)*Math.exp(-o)*i}(t)):V(e)*(1-function(e){var t,r=1/(e*e),n=Ao[2][5]*r,i=r;for(t=0;t<4;t+=1)n=(n+Ao[2][t])*r,i=(i+So[2][t])*r;var a=r*(n+Ao[2][4])/(i+So[2][4]);a=(Eo-a)/e;var o=(e-(r=parseInt(16*e)/16))*(e+r);return Math.exp(-r*r)*Math.exp(-o)*a}(t))},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),Do=.46875,Eo=.5641895835477563,Ao=[[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]],So=[[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]],Co=Math.pow(2,53),Mo="mode",Fo=De(Mo,["typed","isNaN","isNumeric"],(function(e){var t=e.typed,r=e.isNaN,n=e.isNumeric;return t(Mo,{"Array | Matrix":i,"...":function(e){return i(e)}});function i(e){if(0===(e=Ct(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 u=e[o];if(n(u)&&r(u))throw new Error("Cannot calculate mode of an array containing NaN values");u in t||(t[u]=0),t[u]++,t[u]===a?i.push(u):t[u]>a&&(a=t[u],i=[u])}return i}}));function Oo(e,t,r){var n;return-1!==String(e).indexOf("Unexpected type")?(n=arguments.length>2?" (type: "+$(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: "+$(r)+", value: "+JSON.stringify(r)+")":"",new TypeError("Cannot calculate "+t+", no ordering relation is defined for complex numbers"+n)):e}var To="prod",Bo=De(To,["typed","config","multiplyScalar","numeric"],(function(e){var t=e.typed,r=e.config,n=e.multiplyScalar,i=e.numeric;return t(To,{"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(Vt(e,(function(e){try{t=void 0===t?e:n(t,e)}catch(t){throw Oo(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}})),_o="format",ko=De(_o,["typed"],(function(e){return(0,e.typed)(_o,{any:ut,"any, Object | function | number":ut})})),Io=De("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})}})})),Ro=De("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})}})})),zo=De("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})}})})),qo="print",jo=De(qo,["typed"],(function(e){return(0,e.typed)(qo,{"string, Object | Array":Po,"string, Object | Array, number | Object":Po})}));function Po(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?c(a)?a:ut(a,r):e}))}var Lo=De("to",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix;return t("to",{"Unit, Unit | string":function(e,t){return e.to(t)}},Xn({typed:t,matrix:r})({Ds:!0}))})),Uo="isPrime",$o=De(Uo,["typed"],(function(e){var t=e.typed;return t(Uo,{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 u=null;if(e.lt("3317044064679887385961981"))u=[2,3,5,7,11,13,17,19,23,29,31,37,41].filter((function(t){return t<e}));else{var s=Math.min(e.toNumber()-2,Math.floor(2*Math.pow(e.toFixed(0).length*Math.log(10),2)));u=[];for(var c=2;c<=s;c+=1)u.push(s)}for(var f=0;f<u.length;f+=1){var l=u[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":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),Ho=De("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)}:La,Fraction:n?function(e){return n(e)}:Ua};return function(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:"number",r=arguments.length>2?arguments[2]:void 0;if(void 0!==r)throw new SyntaxError("numeric() takes one or two arguments");var n=$(e);if(!(n in i))throw new TypeError("Cannot convert "+e+' of type "'+n+'"; 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===n?e:a[t](e)}})),Go="divideScalar",Vo=De(Go,["typed","numeric"],(function(e){var t=e.typed;return e.numeric,t(Go,{"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 | Complex | Fraction | BigNumber | Unit":function(e,t){return e.divide(t)},"number | Fraction | Complex | BigNumber, Unit":function(e,t){return t.divideInto(e)}})})),Zo=De("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,u=e.number,s=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&&!G(t)&&e<0)try{var n=s(t),i=u(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:G(t)||e>=0||r.predictable?fn(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(!G(t))throw new TypeError("For A^b, b must be an integer (value is "+t+")");var r=ht(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(),u=e;t>=1;)1==(1&t)&&(a=i(u,a)),t>>=1,u=i(u,u);return a}function p(e,t){return a(l(e.valueOf(),t))}})),Wo="Number of decimals in function round must be an integer",Jo="round",Yo=De(Jo,["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,u=Cn({typed:t,equalScalar:n}),s=Mn({typed:t,DenseMatrix:o}),c=Fn({typed:t});return t(Jo,{number:ln,"number, number":ln,"number, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(Wo);return new a(e).toDecimalPlaces(t.toNumber())},Complex:function(e){return e.round()},"Complex, number":function(e,t){if(t%1)throw new TypeError(Wo);return e.round(t)},"Complex, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(Wo);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(Wo);return e.toDecimalPlaces(t.toNumber())},Fraction:function(e){return e.round()},"Fraction, number":function(e,t){if(t%1)throw new TypeError(Wo);return e.round(t)},"Fraction, BigNumber":function(e,t){if(!t.isInteger())throw new TypeError(Wo);return e.round(t.toNumber())},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e,!0)}})),"SparseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return u(t,r,e,!1)}})),"DenseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return c(t,r,e,!1)}})),"Array, number | BigNumber":t.referToSelf((function(e){return function(t,n){return c(r(t),n,e,!1).valueOf()}})),"number | Complex | BigNumber | Fraction, SparseMatrix":t.referToSelf((function(e){return function(t,r){return n(t,0)?i(r.size(),r.storage()):s(r,t,e,!0)}})),"number | Complex | BigNumber | Fraction, DenseMatrix":t.referToSelf((function(e){return function(t,r){return n(t,0)?i(r.size(),r.storage()):c(r,t,e,!0)}})),"number | Complex | BigNumber | Fraction, Array":t.referToSelf((function(e){return function(t,n){return c(r(n),t,e,!0).valueOf()}}))})})),Xo=De("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 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()},"any, any":t.referToSelf((function(e){return function(t,r){return n(e(t),e(r))}}))})})),Qo="log1p",Ko=De(Qo,["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(Qo,{number:function(e){return e>=-1||r.predictable?J(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":t.referToSelf((function(e){return function(t){return Zt(t,e)}})),"any, any":t.referToSelf((function(e){return function(t,r){return n(e(t),i(r))}}))});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))}})),eu="nthRoots",tu=De(eu,["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(),u=e.abs(),s=[],c=Math.pow(u,1/t),f=0;f<t;f++){var l=(i+4*f)/t;l!==Math.round(l)?s.push(new r({r:c,phi:(o+2*Math.PI*f)/t})):s.push(n[l%4](c))}return s}return t(eu,{Complex:function(e){return i(e,2)},"Complex, number":i})})),ru="dotPow",nu=De(ru,["typed","equalScalar","matrix","pow","DenseMatrix"],(function(e){var t=e.typed,r=e.equalScalar,n=e.matrix,i=e.pow,a=e.DenseMatrix,o=oi({typed:t}),u=Yi({typed:t,DenseMatrix:a}),s=Cn({typed:t,equalScalar:r}),c=Mn({typed:t,DenseMatrix:a}),f=Xn({typed:t,matrix:n}),l={};for(var p in i.signatures)Object.prototype.hasOwnProperty.call(i.signatures,p)&&(p.includes("Matrix")||p.includes("Array")||(l[p]=i.signatures[p]));var m=t(l);return t(ru,f({elop:m,SS:u,DS:o,Ss:s,sS:c}))})),iu="dotDivide",au=De(iu,["typed","matrix","equalScalar","divideScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.divideScalar,a=e.DenseMatrix,o=Kn({typed:t,equalScalar:n}),u=oi({typed:t}),s=Yi({typed:t,DenseMatrix:a}),c=Cn({typed:t,equalScalar:n}),f=Mn({typed:t,DenseMatrix:a}),l=Xn({typed:t,matrix:r});return t(iu,l({elop:i,SS:s,DS:u,SD:o,Ss:c,sS:f}))}));function ou(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: "+ut(i)+")");var a=i[0];if(a!==i[1])throw new RangeError("Matrix must be square (size: "+ut(i)+")");var o=[];if(l(r)){var u=r.size(),s=r._data;if(1===u.length){if(u[0]!==a)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(var c=0;c<a;c++)o[c]=[s[c]];return new t({data:o,size:[a,1],datatype:r._datatype})}if(2===u.length){if(u[0]!==a||1!==u[1])throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");if(m(r)){if(n){o=[];for(var p=0;p<a;p++)o[p]=[s[p][0]];return new t({data:o,size:[a,1],datatype:r._datatype})}return r}if(h(r)){for(var d=0;d<a;d++)o[d]=[0];for(var v=r._values,g=r._index,y=r._ptr,x=y[1],b=y[0];b<x;b++)o[g[b]][0]=v[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(f(r)){var w=ht(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 D=0;D<a;D++)o[D]=[r[D][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 uu="lsolve",su=De(uu,["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,u=e.DenseMatrix,s=ou({DenseMatrix:u});return t(uu,{"SparseMatrix, Array | Matrix":function(e,t){return function(e,t){for(var r=(t=s(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 g=0,y=[],x=[],b=m[d],w=m[d+1],N=b;N<w;N++){var D=p[N];D===d?g=l[N]:D>d&&(y.push(l[N]),x.push(D))}if(o(g,0))throw new Error("Linear system cannot be solved since matrix is singular");for(var E=n(v,g),A=0,S=x.length;A<S;A++){var C=x[A];r[C]=[a(r[C][0]||0,i(E,y[A]))]}h[d]=[E]}}return new u({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=s(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 g=m+1;g<c;g++)r[g]=[a(r[g][0]||0,i(d,p[g][m]))]}l[m]=[d]}return new u({data:l,size:[c,1]})}})),cu="usolve",fu=De(cu,["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,u=e.DenseMatrix,s=ou({DenseMatrix:u});return t(cu,{"SparseMatrix, Array | Matrix":function(e,t){return function(e,t){for(var r=(t=s(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 g=0,y=[],x=[],b=m[d],w=m[d+1]-1;w>=b;w--){var N=p[w];N===d?g=l[w]:N<d&&(y.push(l[w]),x.push(N))}if(o(g,0))throw new Error("Linear system cannot be solved since matrix is singular");for(var D=n(v,g),E=0,A=x.length;E<A;E++){var S=x[E];r[S]=[a(r[S][0],i(D,y[E]))]}h[d]=[D]}}return new u({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=s(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 g=m-1;g>=0;g--)r[g]=[a(r[g][0]||0,i(d,p[g][m]))]}l[m]=[d]}return new u({data:l,size:[c,1]})}})),lu="lsolveAll",pu=De(lu,["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,u=e.DenseMatrix,s=ou({DenseMatrix:u});return t(lu,{"SparseMatrix, Array | Matrix":function(e,t){return function(e,t){for(var r=[s(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 g=r[v],y=[],x=[],b=m[h],w=m[h+1],N=0,D=b;D<w;D++){var E=p[D];E===h?N=l[D]:E>h&&(y.push(l[D]),x.push(E))}if(o(N,0))if(o(g[h],0)){if(0===v){var A=yo(g);A[h]=1;for(var S=0,C=x.length;S<C;S++){var M=x[S];A[M]=a(A[M],y[S])}r.push(A)}}else{if(0===v)return[];r.splice(v,1),v-=1,d-=1}else{g[h]=n(g[h],N);for(var F=0,O=x.length;F<O;F++){var T=x[F];g[T]=a(g[T],i(g[h],y[F]))}}}return r.map((function(e){return new u({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=[s(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=yo(d);v[p]=1;for(var g=p+1;g<l;g++)v[g]=a(v[g],c[g][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 y=p+1;y<l;y++)d[y]=a(d[y],i(d[p],c[y][p]))}}return r.map((function(e){return new u({data:e.map((function(e){return[e]})),size:[f,1]})}))}})),mu="usolveAll",hu=De(mu,["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,u=e.DenseMatrix,s=ou({DenseMatrix:u});return t(mu,{"SparseMatrix, Array | Matrix":function(e,t){return function(e,t){for(var r=[s(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 g=r[v],y=[],x=[],b=m[h],w=0,N=m[h+1]-1;N>=b;N--){var D=p[N];D===h?w=l[N]:D<h&&(y.push(l[N]),x.push(D))}if(o(w,0))if(o(g[h],0)){if(0===v){var E=yo(g);E[h]=1;for(var A=0,S=x.length;A<S;A++){var C=x[A];E[C]=a(E[C],y[A])}r.push(E)}}else{if(0===v)return[];r.splice(v,1),v-=1,d-=1}else{g[h]=n(g[h],w);for(var M=0,F=x.length;M<F;M++){var O=x[M];g[O]=a(g[O],i(g[h],y[M]))}}}return r.map((function(e){return new u({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=[s(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=yo(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 g=l-1;g>=0;g--)h[g]=a(h[g],i(h[l],c[g][l]))}}return r.map((function(e){return new u({data:e.map((function(e){return[e]})),size:[f,1]})}))}})),du=De("matAlgo08xS0Sid",["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return function(e,n,i){var a=e._values,o=e._index,u=e._ptr,s=e._size,c=e._datatype,f=n._values,l=n._index,p=n._ptr,m=n._size,h=n._datatype;if(s.length!==m.length)throw new pt(s.length,m.length);if(s[0]!==m[0]||s[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+s+") must match Matrix B ("+m+")");if(!a||!f)throw new Error("Cannot perform operation on Pattern Sparse Matrices");var d,v=s[0],g=s[1],y=r,x=0,b=i;"string"==typeof c&&c===h&&(d=c,y=t.find(r,[d,d]),x=t.convert(0,d),b=t.find(i,[d,d]));for(var w,N,D,E,A=[],S=[],C=[],M=[],F=[],O=0;O<g;O++){C[O]=S.length;var T=O+1;for(N=u[O],D=u[O+1],w=N;w<D;w++)F[E=o[w]]=T,M[E]=a[w],S.push(E);for(N=p[O],D=p[O+1],w=N;w<D;w++)F[E=l[w]]===T&&(M[E]=b(M[E],f[w]));for(w=C[O];w<S.length;){var B=M[E=S[w]];y(B,x)?S.splice(w,1):(A.push(B),w++)}}return C[g]=S.length,e.createSparseMatrix({values:A,index:S,ptr:C,size:[v,g],datatype:d})}})),vu=De("useMatrixForArrayScalar",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix;return{"Array, number":t.referTo("DenseMatrix, number",(function(e){return function(t,n){return e(r(t),n).valueOf()}})),"Array, BigNumber":t.referTo("DenseMatrix, BigNumber",(function(e){return function(t,n){return e(r(t),n).valueOf()}})),"number, Array":t.referTo("number, DenseMatrix",(function(e){return function(t,n){return e(t,r(n)).valueOf()}})),"BigNumber, Array":t.referTo("BigNumber, DenseMatrix",(function(e){return function(t,n){return e(t,r(n)).valueOf()}}))}})),gu="leftShift",yu=De(gu,["typed","matrix","equalScalar","zeros","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.zeros,a=e.DenseMatrix,o=Zn({typed:t}),u=Kn({typed:t,equalScalar:n}),s=du({typed:t,equalScalar:n}),c=Jn({typed:t,DenseMatrix:a}),f=Cn({typed:t,equalScalar:n}),l=Fn({typed:t}),p=Xn({typed:t,matrix:r}),m=vu({typed:t,matrix:r});return t(gu,{"number, number":Li,"BigNumber, BigNumber":ki,"SparseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return n(r,0)?t.clone():f(t,r,e,!1)}})),"DenseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return n(r,0)?t.clone():l(t,r,e,!1)}})),"number | BigNumber, SparseMatrix":t.referToSelf((function(e){return function(t,r){return n(t,0)?i(r.size(),r.storage()):c(r,t,e,!0)}})),"number | BigNumber, DenseMatrix":t.referToSelf((function(e){return function(t,r){return n(t,0)?i(r.size(),r.storage()):l(r,t,e,!0)}}))},m,p({SS:s,DS:o,SD:u}))})),xu="rightArithShift",bu=De(xu,["typed","matrix","equalScalar","zeros","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.zeros,a=e.DenseMatrix,o=Zn({typed:t}),u=Kn({typed:t,equalScalar:n}),s=du({typed:t,equalScalar:n}),c=Jn({typed:t,DenseMatrix:a}),f=Cn({typed:t,equalScalar:n}),l=Fn({typed:t}),p=Xn({typed:t,matrix:r}),m=vu({typed:t,matrix:r});return t(xu,{"number, number":Ui,"BigNumber, BigNumber":Ii,"SparseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return n(r,0)?t.clone():f(t,r,e,!1)}})),"DenseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return n(r,0)?t.clone():l(t,r,e,!1)}})),"number | BigNumber, SparseMatrix":t.referToSelf((function(e){return function(t,r){return n(t,0)?i(r.size(),r.storage()):c(r,t,e,!0)}})),"number | BigNumber, DenseMatrix":t.referToSelf((function(e){return function(t,r){return n(t,0)?i(r.size(),r.storage()):l(r,t,e,!0)}}))},m,p({SS:s,DS:o,SD:u}))})),wu="rightLogShift",Nu=De(wu,["typed","matrix","equalScalar","zeros","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.zeros,a=e.DenseMatrix,o=Zn({typed:t}),u=Kn({typed:t,equalScalar:n}),s=du({typed:t,equalScalar:n}),c=Jn({typed:t,DenseMatrix:a}),f=Cn({typed:t,equalScalar:n}),l=Fn({typed:t}),p=Xn({typed:t,matrix:r}),m=vu({typed:t,matrix:r});return t(wu,{"number, number":$i,"SparseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return n(r,0)?t.clone():f(t,r,e,!1)}})),"DenseMatrix, number | BigNumber":t.referToSelf((function(e){return function(t,r){return n(r,0)?t.clone():l(t,r,e,!1)}})),"number | BigNumber, SparseMatrix":t.referToSelf((function(e){return function(t,r){return n(t,0)?i(r.size(),r.storage()):c(r,t,e,!0)}})),"number | BigNumber, DenseMatrix":t.referToSelf((function(e){return function(t,r){return n(t,0)?i(r.size(),r.storage()):l(r,t,e,!0)}}))},m,p({SS:s,DS:o,SD:u}))})),Du=De("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=Kn({typed:t,equalScalar:n}),u=ei({typed:t,equalScalar:n}),s=Cn({typed:t,equalScalar:n}),c=Fn({typed:t}),f=Xn({typed:t,matrix:r});return t("and",{"number, number":sa,"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":t.referToSelf((function(e){return function(t,r){return e(t.value||0,r.value||0)}})),"SparseMatrix, any":t.referToSelf((function(e){return function(t,r){return a(r)?i(t.size(),t.storage()):s(t,r,e,!1)}})),"DenseMatrix, any":t.referToSelf((function(e){return function(t,r){return a(r)?i(t.size(),t.storage()):c(t,r,e,!1)}})),"any, SparseMatrix":t.referToSelf((function(e){return function(t,r){return a(t)?i(t.size(),t.storage()):s(r,t,e,!0)}})),"any, DenseMatrix":t.referToSelf((function(e){return function(t,r){return a(t)?i(t.size(),t.storage()):c(r,t,e,!0)}})),"Array, any":t.referToSelf((function(e){return function(t,n){return e(r(t),n).valueOf()}})),"any, Array":t.referToSelf((function(e){return function(t,n){return e(t,r(n)).valueOf()}}))},f({SS:u,DS:o}))})),Eu="compare",Au=De(Eu,["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,u=e.DenseMatrix,s=oi({typed:t}),c=ui({typed:t,equalScalar:n}),f=Mn({typed:t,DenseMatrix:u}),l=Xn({typed:t,matrix:i}),p=xr({typed:t});return t(Eu,Su({typed:t,config:r}),{"boolean, boolean":function(e,t){return e===t?0:e>t?1:-1},"BigNumber, BigNumber":function(e,t){return yr(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")}},p,l({SS:c,DS:s,Ss:f}))})),Su=De(Eu,["typed","config"],(function(e){var t=e.typed,r=e.config;return t(Eu,{"number, number":function(e,t){return oe(e,t,r.epsilon)?0:e>t?1:-1}})})),Cu=r(3228),Mu="compareNatural",Fu=De(Mu,["typed","compare"],(function(e){var t=e.typed,r=e.compare,n=r.signatures["boolean,boolean"];return t(Mu,{"any, any":function e(t,o){var u,s=$(t),c=$(o);if(!("number"!==s&&"BigNumber"!==s&&"Fraction"!==s||"number"!==c&&"BigNumber"!==c&&"Fraction"!==c))return"0"!==(u=r(t,o)).toString()?u>0?1:-1:Cu(s,c);var f=["Array","DenseMatrix","SparseMatrix"];if(f.includes(s)||f.includes(c))return 0!==(u=i(e,t,o))?u:Cu(s,c);if(s!==c)return Cu(s,c);if("Complex"===s)return 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}(t,o);if("Unit"===s)return t.equalBase(o)?e(t.value,o.value):a(e,t.formatUnits(),o.formatUnits());if("boolean"===s)return n(t,o);if("string"===s)return Cu(t,o);if("Object"===s)return function(e,t,r){var n=Object.keys(t),i=Object.keys(r);n.sort(Cu),i.sort(Cu);var o=a(e,n,i);if(0!==o)return o;for(var u=0;u<n.length;u++){var s=e(t[n[u]],r[i[u]]);if(0!==s)return s}return 0}(e,t,o);if("null"===s)return 0;if("undefined"===s)return 0;throw new TypeError('Unsupported type of value "'+s+'"')}});function i(e,t,r){return h(t)&&h(r)?a(e,t.toJSON().values,r.toJSON().values):h(t)?i(e,t.toArray(),r):h(r)?i(e,t,r.toArray()):m(t)?i(e,t.toJSON().data,r):m(r)?i(e,t,r.toJSON().data):Array.isArray(t)?Array.isArray(r)?a(e,t,r):i(e,t,[r]):i(e,[t],r)}function a(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}})),Ou="compareText",Tu=["typed","matrix"];lt.signature="any, any";var Bu=De(Ou,Tu,(function(e){var t=e.typed,r=e.matrix,n=Xn({typed:t,matrix:r});return t(Ou,lt,n({elop:lt,Ds:!0}))})),_u="equal",ku=De(_u,["typed","matrix","equalScalar","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.DenseMatrix,a=oi({typed:t}),o=Yi({typed:t,DenseMatrix:i}),u=Mn({typed:t,DenseMatrix:i}),s=Xn({typed:t,matrix:r});return t(_u,Iu({typed:t,equalScalar:n}),s({elop:n,SS:o,DS:a,Ss:u}))})),Iu=De(_u,["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return t(_u,{"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)}})})),Ru="equalText",zu=De(Ru,["typed","compareText","isZero"],(function(e){var t=e.typed,r=e.compareText,n=e.isZero;return t(Ru,{"any, any":function(e,t){return n(r(e,t))}})})),qu="smaller",ju=De(qu,["typed","config","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.DenseMatrix,a=oi({typed:t}),o=Yi({typed:t,DenseMatrix:i}),u=Mn({typed:t,DenseMatrix:i}),s=Xn({typed:t,matrix:n}),c=xr({typed:t});return t(qu,Pu({typed:t,config:r}),{"boolean, boolean":function(e,t){return e<t},"BigNumber, BigNumber":function(e,t){return e.lt(t)&&!yr(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")}},c,s({SS:o,DS:a,Ss:u}))})),Pu=De(qu,["typed","config"],(function(e){var t=e.typed,r=e.config;return t(qu,{"number, number":function(e,t){return e<t&&!oe(e,t,r.epsilon)}})})),Lu="smallerEq",Uu=De(Lu,["typed","config","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.DenseMatrix,a=oi({typed:t}),o=Yi({typed:t,DenseMatrix:i}),u=Mn({typed:t,DenseMatrix:i}),s=Xn({typed:t,matrix:n}),c=xr({typed:t});return t(Lu,$u({typed:t,config:r}),{"boolean, boolean":function(e,t){return e<=t},"BigNumber, BigNumber":function(e,t){return e.lte(t)||yr(e,t,r.epsilon)},"Fraction, Fraction":function(e,t){return 1!==e.compare(t)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")}},c,s({SS:o,DS:a,Ss:u}))})),$u=De(Lu,["typed","config"],(function(e){var t=e.typed,r=e.config;return t(Lu,{"number, number":function(e,t){return e<=t||oe(e,t,r.epsilon)}})})),Hu="larger",Gu=De(Hu,["typed","config","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.DenseMatrix,a=oi({typed:t}),o=Yi({typed:t,DenseMatrix:i}),u=Mn({typed:t,DenseMatrix:i}),s=Xn({typed:t,matrix:n}),c=xr({typed:t});return t(Hu,Vu({typed:t,config:r}),{"boolean, boolean":function(e,t){return e>t},"BigNumber, BigNumber":function(e,t){return e.gt(t)&&!yr(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")}},c,s({SS:o,DS:a,Ss:u}))})),Vu=De(Hu,["typed","config"],(function(e){var t=e.typed,r=e.config;return t(Hu,{"number, number":function(e,t){return e>t&&!oe(e,t,r.epsilon)}})})),Zu="largerEq",Wu=De(Zu,["typed","config","matrix","DenseMatrix"],(function(e){var t=e.typed,r=e.config,n=e.matrix,i=e.DenseMatrix,a=oi({typed:t}),o=Yi({typed:t,DenseMatrix:i}),u=Mn({typed:t,DenseMatrix:i}),s=Xn({typed:t,matrix:n}),c=xr({typed:t});return t(Zu,Ju({typed:t,config:r}),{"boolean, boolean":function(e,t){return e>=t},"BigNumber, BigNumber":function(e,t){return e.gte(t)||yr(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")}},c,s({SS:o,DS:a,Ss:u}))})),Ju=De(Zu,["typed","config"],(function(e){var t=e.typed,r=e.config;return t(Zu,{"number, number":function(e,t){return e>=t||oe(e,t,r.epsilon)}})})),Yu="deepEqual",Xu=De(Yu,["typed","equal"],(function(e){var t=e.typed,r=e.equal;return t(Yu,{"any, any":function(e,t){return n(e.valueOf(),t.valueOf())}});function n(e,t){if(Array.isArray(e)){if(Array.isArray(t)){var i=e.length;if(i!==t.length)return!1;for(var a=0;a<i;a++)if(!n(e[a],t[a]))return!1;return!0}return!1}return!Array.isArray(t)&&r(e,t)}})),Qu="unequal",Ku=De(Qu,["typed","config","equalScalar","matrix","DenseMatrix"],(function(e){var t=e.typed,r=(e.config,e.equalScalar),n=e.matrix,i=e.DenseMatrix,a=oi({typed:t}),o=Yi({typed:t,DenseMatrix:i}),u=Mn({typed:t,DenseMatrix:i}),s=Xn({typed:t,matrix:n});return t(Qu,es({typed:t,equalScalar:r}),s({elop:function(e,t){return!r(e,t)},SS:o,DS:a,Ss:u}))})),es=De(Qu,["typed","equalScalar"],(function(e){var t=e.typed,r=e.equalScalar;return t(Qu,{"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)}})})),ts="partitionSelect",rs=De(ts,["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(ts,{"Array | Matrix, number":function(e,t){return u(e,t,a)},"Array | Matrix, number, string":function(e,t,r){if("asc"===r)return u(e,t,a);if("desc"===r)return u(e,t,o);throw new Error('Compare string must be "asc" or "desc"')},"Array | Matrix, number, function":u});function u(e,t,r){if(!G(t)||t<0)throw new Error("k must be a non-negative integer");if(l(e)){if(e.size().length>1)throw new Error("Only one dimensional matrices supported");return s(e.valueOf(),t,r)}if(Array.isArray(e))return s(e,t,r)}function s(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,u=e.length-1;o<u;){for(var s=o,c=u,f=e[Math.floor(Math.random()*(u-o+1))+o];s<c;)if(i(e[s],f)>=0){var l=e[c];e[c]=e[s],e[s]=l,--c}else++s;i(e[s],f)>0&&--s,t<=s?u=s:o=s+1}return e[t]}})),ns="sort",is=De(ns,["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(ns,{Array:function(e){return s(e),e.sort(a)},Matrix:function(e){return c(e),r(e.toArray().sort(a),e.storage())},"Array, function":function(e,t){return s(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 s(e),e.sort(u(t))},"Matrix, string":function(e,t){return c(e),r(e.toArray().sort(u(t)),e.storage())}});function u(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 s(e){if(1!==ht(e).length)throw new Error("One dimensional array expected")}function c(e){if(1!==e.size().length)throw new Error("One dimensional matrix expected")}})),as=De("max",["typed","config","numeric","larger"],(function(e){var t=e.typed,r=e.config,n=e.numeric,i=e.larger;return t("max",{"Array | Matrix":o,"Array | Matrix, number | BigNumber":function(e,t){return Wt(e,t.valueOf(),a)},"...":function(e){if(Gt(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 Oo(e,"max",t)}}function o(e){var t;if(Vt(e,(function(e){try{isNaN(e)&&"number"==typeof e?t=NaN:(void 0===t||i(e,t))&&(t=e)}catch(t){throw Oo(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}})),os=De("min",["typed","config","numeric","smaller"],(function(e){var t=e.typed,r=e.config,n=e.numeric,i=e.smaller;return t("min",{"Array | Matrix":o,"Array | Matrix, number | BigNumber":function(e,t){return Wt(e,t.valueOf(),a)},"...":function(e){if(Gt(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 Oo(e,"min",t)}}function o(e){var t;if(Vt(e,(function(e){try{isNaN(e)&&"number"==typeof e?t=NaN:(void 0===t||i(e,t))&&(t=e)}catch(t){throw Oo(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}})),us=De("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&&!c(t))throw new Error("Invalid datatype: "+t);if(l(e)||f(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&&f(e.data)&&f(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 ("+$(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 l(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:me(this._data),size:me(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}),ss=De("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(d(a))this._dimensions.push(a),this._isScalar=!1;else if(Array.isArray(a)||l(a)){var o=n(a.valueOf());this._dimensions.push(o);var u=o.size();1===u.length&&1===u[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]||!G(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=me(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}),cs=De("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}function o(e,t){var r=t.parent;r&&(t.mark?(a(e,t,r),o(r)):t.mark=!0)}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,o=e.child;a>0;){var s=o.right;o.left.right=o.right,o.right.left=o.left,o.left=i,o.right=i.right,i.right=o,o.right.left=o,o.parent=null,o=s,a--}return e.left.right=e.right,e.right.left=e.left,i=e===e.right?null:function(e,i){var a,o=Math.floor(Math.log(i)*n)+1,s=new Array(o),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=s[l];){if(r(f.key,a.key)){var m=a;a=f,f=m}u(a,f),s[l]=null,l++}s[l]=f,f=p,c--}e=null;for(var h=0;h<o;h++)(a=s[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=-1;var i=r.parent;return i&&t(r.key,i.key)&&(a(e,r,i),o(e,i)),t(r.key,e.key)&&(e=r),e}(this._minimum,e),this.extractMinimum()};var u=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}),fs=De("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=[],u=i.extractMinimum();for(u&&o.push(u);u&&u.key<=t;)u.key>=e&&(r(u.value,0)||n(u.key,u.value,this)),(u=i.extractMinimum())&&o.push(u);for(var s=0;s<o.length;s++){var c=o[s];a[(u=i.insert(c.key,c.value)).key]=u}},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});function ls(){return ls=Object.assign?Object.assign.bind():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},ls.apply(this,arguments)}function ps(e,t,r){return t in e?Object.defineProperty(e,t,{value:r,enumerable:!0,configurable:!0,writable:!0}):e[t]=r,e}r(5003),r(9337),r(3321),r(3650);var ms=qt((function(e){return new e(1).exp()}),{hasher:gs}),hs=qt((function(e){return new e(1).plus(new e(5).sqrt()).div(2)}),{hasher:gs}),ds=qt((function(e){return e.acos(-1)}),{hasher:gs}),vs=qt((function(e){return ds(e).times(2)}),{hasher:gs});function gs(e){return e[0].precision}function ys(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 xs(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?ys(Object(r),!0).forEach((function(t){ps(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):ys(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}var bs=De("Unit",["?on","config","addScalar","subtract","multiplyScalar","divideScalar","pow","abs","fix","round","equal","isNumeric","format","number","Complex","BigNumber","Fraction"],(function(e){var r,n,i,a=e.on,u=e.config,c=e.addScalar,f=e.subtract,l=e.multiplyScalar,p=e.divideScalar,m=e.pow,h=e.abs,d=e.fix,v=e.round,g=e.equal,y=e.isNumeric,x=e.format,b=e.number,w=e.Complex,N=e.BigNumber,D=e.Fraction,E=b;function A(e,t){if(!(this instanceof A))throw new Error("Constructor must be called with the new operator");if(null!=e&&!y(e)&&!o(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=A.parse(t);this.units=r.units,this.dimensions=r.dimensions}else{this.units=[],this.dimensions=[];for(var n=0;n<R.length;n++)this.dimensions[n]=0}this.value=null!=e?this._normalize(e):null,this.fixPrefix=!1,this.skipAutomaticSimplification=!0}function S(){for(;" "===i||"\t"===i;)M()}function C(e){return e>="0"&&e<="9"}function M(){n++,i=r.charAt(n)}function F(e){n=e,i=r.charAt(n)}function O(){var e="",t=n;if("+"===i?M():"-"===i&&(e+=i,M()),!function(e){return e>="0"&&e<="9"||"."===e}(i))return F(t),null;if("."===i){if(e+=i,M(),!C(i))return F(t),null}else{for(;C(i);)e+=i,M();"."===i&&(e+=i,M())}for(;C(i);)e+=i,M();if("E"===i||"e"===i){var r="",a=n;if(r+=i,M(),"+"!==i&&"-"!==i||(r+=i,M()),!C(i))return F(a),e;for(e+=r;C(i);)e+=i,M()}return e}function T(){for(var e="";C(i)||A.isValidAlpha(i);)e+=i,M();var t=e.charAt(0);return A.isValidAlpha(t)?e:null}function B(e){return i===e?(M(),e):null}Object.defineProperty(A,"name",{value:"Unit"}),A.prototype.constructor=A,A.prototype.type="Unit",A.prototype.isUnit=!0,A.parse=function(e,t){if(t=t||{},n=-1,i="","string"!=typeof(r=e))throw new TypeError("Invalid argument in Unit.parse, string expected");var a=new A;a.units=[];var o=1,s=!1;M(),S();var c=O(),f=null;if(c){if("BigNumber"===u.number)f=new N(c);else if("Fraction"===u.number)try{f=new D(c)}catch(e){f=parseFloat(c)}else f=parseFloat(c);S(),B("*")?(o=1,s=!0):B("/")&&(o=-1,s=!0)}for(var l=[],p=1;;){for(S();"("===i;)l.push(o),p*=o,o=1,M(),S();var m;if(!i)break;var h=i;if(null===(m=T()))throw new SyntaxError('Unexpected "'+h+'" in "'+r+'" at index '+n.toString());var d=_(m);if(null===d)throw new SyntaxError('Unit "'+m+'" not found.');var v=o*p;if(S(),B("^")){S();var g=O();if(null===g)throw new SyntaxError('In "'+e+'", "^" must be followed by a floating-point number');v*=g}a.units.push({unit:d.unit,prefix:d.prefix,power:v});for(var y=0;y<R.length;y++)a.dimensions[y]+=(d.unit.dimensions[y]||0)*v;for(S();")"===i;){if(0===l.length)throw new SyntaxError('Unmatched ")" in "'+r+'" at index '+n.toString());p/=l.pop(),M(),S()}if(s=!1,B("*")?(o=1,s=!0):B("/")?(o=-1,s=!0):o=1,d.unit.base){var x=d.unit.base.key;H.auto[x]={unit:d.unit,prefix:d.prefix}}}if(S(),i)throw new SyntaxError('Could not parse: "'+e+'"');if(s)throw new SyntaxError('Trailing characters: "'+e+'"');if(0!==l.length)throw new SyntaxError('Unmatched "(" in "'+r+'"');if(0===a.units.length&&!t.allowNoUnits)throw new SyntaxError('"'+e+'" contains no units');return a.value=void 0!==f?a._normalize(f):null,a},A.prototype.clone=function(){var e=new A;e.fixPrefix=this.fixPrefix,e.skipAutomaticSimplification=this.skipAutomaticSimplification,e.value=me(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])we(this.units[t],r)&&(e.units[t][r]=this.units[t][r]);return e},A.prototype.valueType=function(){return $(this.value)},A.prototype._isDerived=function(){return 0!==this.units.length&&(this.units.length>1||Math.abs(this.units[0].power-1)>1e-15)},A.prototype._normalize=function(e){if(null==e||0===this.units.length)return e;for(var t=e,r=A._getNumberConverter($(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},A.prototype._denormalize=function(e,t){if(null==e||0===this.units.length)return e;for(var r=e,n=A._getNumberConverter($(e)),i=0;i<this.units.length;i++){var a=n(this.units[i].unit.value),o=n(this.units[i].prefix.value),u=n(this.units[i].power);r=p(r,m(l(a,o),u))}return r};var _=qt((function(e){if(we(P,e)){var t=P[e];return{unit:t,prefix:t.prefixes[""]}}for(var r in P)if(we(P,r)&&ot(e,r)){var n=P[r],i=e.length-r.length,a=e.substring(0,i),o=we(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 k(e){return e.equalBase(z.NONE)&&null!==e.value&&!u.predictable?e.value:e}A.isValuelessUnit=function(e){return null!==_(e)},A.prototype.hasBase=function(e){if("string"==typeof e&&(e=z[e]),!e)return!1;for(var t=0;t<R.length;t++)if(Math.abs((this.dimensions[t]||0)-(e.dimensions[t]||0))>1e-12)return!1;return!0},A.prototype.equalBase=function(e){for(var t=0;t<R.length;t++)if(Math.abs((this.dimensions[t]||0)-(e.dimensions[t]||0))>1e-12)return!1;return!0},A.prototype.equals=function(e){return this.equalBase(e)&&g(this.value,e.value)},A.prototype.multiply=function(e){for(var t=this.clone(),r=s(e)?e:new A(e),n=0;n<R.length;n++)t.dimensions[n]=(this.dimensions[n]||0)+(r.dimensions[n]||0);for(var i=0;i<r.units.length;i++){var a=xs({},r.units[i]);t.units.push(a)}if(null!==this.value||null!==r.value){var o=null===this.value?this._normalize(1):this.value,u=null===r.value?r._normalize(1):r.value;t.value=l(o,u)}else t.value=null;return s(e)&&(t.skipAutomaticSimplification=!1),k(t)},A.prototype.divideInto=function(e){return new A(e).divide(this)},A.prototype.divide=function(e){for(var t=this.clone(),r=s(e)?e:new A(e),n=0;n<R.length;n++)t.dimensions[n]=(this.dimensions[n]||0)-(r.dimensions[n]||0);for(var i=0;i<r.units.length;i++){var a=xs(xs({},r.units[i]),{},{power:-r.units[i].power});t.units.push(a)}if(null!==this.value||null!==r.value){var o=null===this.value?this._normalize(1):this.value,u=null===r.value?r._normalize(1):r.value;t.value=p(o,u)}else t.value=null;return s(e)&&(t.skipAutomaticSimplification=!1),k(t)},A.prototype.pow=function(e){for(var t=this.clone(),r=0;r<R.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,k(t)},A.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=e._numberConverter(),r=t(e.units[0].unit.value),n=t(e.units[0].unit.offset),i=l(r,n);e.value=f(h(c(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=P.W);return e},A.prototype.to=function(e){var t,r=null===this.value?this._normalize(1):this.value;if("string"==typeof e)t=A.parse(e);else{if(!s(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=me(r);else{var n=A._getNumberConverter($(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=f(c(r,o),m)}return t.fixPrefix=!0,t.skipAutomaticSimplification=!0,t},A.prototype.toNumber=function(e){return E(this.toNumeric(e))},A.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)},A.prototype.toString=function(){return this.format()},A.prototype.toJSON=function(){return{mathjs:"Unit",value:this._denormalize(this.value),unit:this.formatUnits(),fixPrefix:this.fixPrefix}},A.fromJSON=function(e){var t=new A(e.value,e.unit);return t.fixPrefix=e.fixPrefix||!1,t},A.prototype.valueOf=A.prototype.toString,A.prototype.simplify=function(){var e,t,r=this.clone(),n=[];for(var i in G)if(we(G,i)&&r.hasBase(z[i])){e=i;break}if("NONE"===e)r.units=[];else if(e&&we(G,e)&&(t=G[e]),t)r.units=[{unit:t.unit,prefix:t.prefix,power:1}];else{for(var a=!1,o=0;o<R.length;o++){var u=R[o];Math.abs(r.dimensions[o]||0)>1e-12&&(we(G,u)?n.push({unit:G[u].unit,prefix:G[u].prefix,power:r.dimensions[o]||0}):a=!0)}n.length<r.units.length&&!a&&(r.units=n)}return r},A.prototype.toSI=function(){for(var e=this.clone(),t=[],r=0;r<R.length;r++){var n=R[r];if(Math.abs(e.dimensions[r]||0)>1e-12){if(!we(H.si,n))throw new Error("Cannot express custom unit "+n+" in SI units");t.push({unit:H.si[n].unit,prefix:H.si[n].prefix,power:e.dimensions[r]||0})}}return e.units=t,e.fixPrefix=!0,e.skipAutomaticSimplification=!0,e},A.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},A.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&&o(t.value)&&(r=Math.abs(t.value.re)<1e-14),t.units)we(t.units,n)&&t.units[n].unit&&("VA"===t.units[n].unit.name&&r?t.units[n].unit=P.VAR:"VAR"!==t.units[n].unit.name||r||(t.units[n].unit=P.VA));1!==t.units.length||t.fixPrefix||Math.abs(t.units[0].power-Math.round(t.units[0].power))<1e-14&&(t.units[0].prefix=t._bestPrefix());var i=t._denormalize(t.value),a=null!==t.value?x(i,e||{}):"",u=t.formatUnits();return t.value&&o(t.value)&&(a="("+a+")"),u.length>0&&a.length>0&&(a+=" "),a+u},A.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(we(a,o)){var u=a[o];if(u.scientific){var s=Math.abs(Math.log(e/Math.pow(u.value*t,n))/Math.LN10-1.2);(s<i||s===i&&u.name.length<r.name.length)&&(r=u,i=s)}}return r},A.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 A(g(a,i)?a:d(t.toNumeric()),e[n].toString());r.push(o),t=f(t,o)}for(var u=0,s=0;s<r.length;s++)u=c(u,r[s].value);return g(u,this.value)&&(t.value=0),r.push(t),r};var I={NONE:{"":{name:"",value:1,scientific:!0}},SHORT:{"":{name:"",value:1,scientific:!0},da:{name:"da",value:10,scientific:!1},h:{name:"h",value:100,scientific:!1},k:{name:"k",value:1e3,scientific:!0},M:{name:"M",value:1e6,scientific:!0},G:{name:"G",value:1e9,scientific:!0},T:{name:"T",value:1e12,scientific:!0},P:{name:"P",value:1e15,scientific:!0},E:{name:"E",value:1e18,scientific:!0},Z:{name:"Z",value:1e21,scientific:!0},Y:{name:"Y",value:1e24,scientific:!0},d:{name:"d",value:.1,scientific:!1},c:{name:"c",value:.01,scientific:!1},m:{name:"m",value:.001,scientific:!0},u:{name:"u",value:1e-6,scientific:!0},n:{name:"n",value:1e-9,scientific:!0},p:{name:"p",value:1e-12,scientific:!0},f:{name:"f",value:1e-15,scientific:!0},a:{name:"a",value:1e-18,scientific:!0},z:{name:"z",value:1e-21,scientific:!0},y:{name:"y",value:1e-24,scientific:!0}},LONG:{"":{name:"",value:1,scientific:!0},deca:{name:"deca",value:10,scientific:!1},hecto:{name:"hecto",value:100,scientific:!1},kilo:{name:"kilo",value:1e3,scientific:!0},mega:{name:"mega",value:1e6,scientific:!0},giga:{name:"giga",value:1e9,scientific:!0},tera:{name:"tera",value:1e12,scientific:!0},peta:{name:"peta",value:1e15,scientific:!0},exa:{name:"exa",value:1e18,scientific:!0},zetta:{name:"zetta",value:1e21,scientific:!0},yotta:{name:"yotta",value:1e24,scientific:!0},deci:{name:"deci",value:.1,scientific:!1},centi:{name:"centi",value:.01,scientific:!1},milli:{name:"milli",value:.001,scientific:!0},micro:{name:"micro",value:1e-6,scientific:!0},nano:{name:"nano",value:1e-9,scientific:!0},pico:{name:"pico",value:1e-12,scientific:!0},femto:{name:"femto",value:1e-15,scientific:!0},atto:{name:"atto",value:1e-18,scientific:!0},zepto:{name:"zepto",value:1e-21,scientific:!0},yocto:{name:"yocto",value:1e-24,scientific:!0}},SQUARED:{"":{name:"",value:1,scientific:!0},da:{name:"da",value:100,scientific:!1},h:{name:"h",value:1e4,scientific:!1},k:{name:"k",value:1e6,scientific:!0},M:{name:"M",value:1e12,scientific:!0},G:{name:"G",value:1e18,scientific:!0},T:{name:"T",value:1e24,scientific:!0},P:{name:"P",value:1e30,scientific:!0},E:{name:"E",value:1e36,scientific:!0},Z:{name:"Z",value:1e42,scientific:!0},Y:{name:"Y",value:1e48,scientific:!0},d:{name:"d",value:.01,scientific:!1},c:{name:"c",value:1e-4,scientific:!1},m:{name:"m",value:1e-6,scientific:!0},u:{name:"u",value:1e-12,scientific:!0},n:{name:"n",value:1e-18,scientific:!0},p:{name:"p",value:1e-24,scientific:!0},f:{name:"f",value:1e-30,scientific:!0},a:{name:"a",value:1e-36,scientific:!0},z:{name:"z",value:1e-42,scientific:!0},y:{name:"y",value:1e-48,scientific:!0}},CUBIC:{"":{name:"",value:1,scientific:!0},da:{name:"da",value:1e3,scientific:!1},h:{name:"h",value:1e6,scientific:!1},k:{name:"k",value:1e9,scientific:!0},M:{name:"M",value:1e18,scientific:!0},G:{name:"G",value:1e27,scientific:!0},T:{name:"T",value:1e36,scientific:!0},P:{name:"P",value:1e45,scientific:!0},E:{name:"E",value:1e54,scientific:!0},Z:{name:"Z",value:1e63,scientific:!0},Y:{name:"Y",value:1e72,scientific:!0},d:{name:"d",value:.001,scientific:!1},c:{name:"c",value:1e-6,scientific:!1},m:{name:"m",value:1e-9,scientific:!0},u:{name:"u",value:1e-18,scientific:!0},n:{name:"n",value:1e-27,scientific:!0},p:{name:"p",value:1e-36,scientific:!0},f:{name:"f",value:1e-45,scientific:!0},a:{name:"a",value:1e-54,scientific:!0},z:{name:"z",value:1e-63,scientific:!0},y:{name:"y",value:1e-72,scientific:!0}},BINARY_SHORT_SI:{"":{name:"",value:1,scientific:!0},k:{name:"k",value:1e3,scientific:!0},M:{name:"M",value:1e6,scientific:!0},G:{name:"G",value:1e9,scientific:!0},T:{name:"T",value:1e12,scientific:!0},P:{name:"P",value:1e15,scientific:!0},E:{name:"E",value:1e18,scientific:!0},Z:{name:"Z",value:1e21,scientific:!0},Y:{name:"Y",value:1e24,scientific:!0}},BINARY_SHORT_IEC:{"":{name:"",value:1,scientific:!0},Ki:{name:"Ki",value:1024,scientific:!0},Mi:{name:"Mi",value:Math.pow(1024,2),scientific:!0},Gi:{name:"Gi",value:Math.pow(1024,3),scientific:!0},Ti:{name:"Ti",value:Math.pow(1024,4),scientific:!0},Pi:{name:"Pi",value:Math.pow(1024,5),scientific:!0},Ei:{name:"Ei",value:Math.pow(1024,6),scientific:!0},Zi:{name:"Zi",value:Math.pow(1024,7),scientific:!0},Yi:{name:"Yi",value:Math.pow(1024,8),scientific:!0}},BINARY_LONG_SI:{"":{name:"",value:1,scientific:!0},kilo:{name:"kilo",value:1e3,scientific:!0},mega:{name:"mega",value:1e6,scientific:!0},giga:{name:"giga",value:1e9,scientific:!0},tera:{name:"tera",value:1e12,scientific:!0},peta:{name:"peta",value:1e15,scientific:!0},exa:{name:"exa",value:1e18,scientific:!0},zetta:{name:"zetta",value:1e21,scientific:!0},yotta:{name:"yotta",value:1e24,scientific:!0}},BINARY_LONG_IEC:{"":{name:"",value:1,scientific:!0},kibi:{name:"kibi",value:1024,scientific:!0},mebi:{name:"mebi",value:Math.pow(1024,2),scientific:!0},gibi:{name:"gibi",value:Math.pow(1024,3),scientific:!0},tebi:{name:"tebi",value:Math.pow(1024,4),scientific:!0},pebi:{name:"pebi",value:Math.pow(1024,5),scientific:!0},exi:{name:"exi",value:Math.pow(1024,6),scientific:!0},zebi:{name:"zebi",value:Math.pow(1024,7),scientific:!0},yobi:{name:"yobi",value:Math.pow(1024,8),scientific:!0}},BTU:{"":{name:"",value:1,scientific:!0},MM:{name:"MM",value:1e6,scientific:!0}}};I.SHORTLONG=ls({},I.SHORT,I.LONG),I.BINARY_SHORT=ls({},I.BINARY_SHORT_SI,I.BINARY_SHORT_IEC),I.BINARY_LONG=ls({},I.BINARY_LONG_SI,I.BINARY_LONG_IEC);var R=["MASS","LENGTH","TIME","CURRENT","TEMPERATURE","LUMINOUS_INTENSITY","AMOUNT_OF_SUBSTANCE","ANGLE","BIT"],z={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 q in z)we(z,q)&&(z[q].key=q);var j={name:"",base:{},value:1,offset:0,dimensions:R.map((function(e){return 0}))},P={meter:{name:"meter",base:z.LENGTH,prefixes:I.LONG,value:1,offset:0},inch:{name:"inch",base:z.LENGTH,prefixes:I.NONE,value:.0254,offset:0},foot:{name:"foot",base:z.LENGTH,prefixes:I.NONE,value:.3048,offset:0},yard:{name:"yard",base:z.LENGTH,prefixes:I.NONE,value:.9144,offset:0},mile:{name:"mile",base:z.LENGTH,prefixes:I.NONE,value:1609.344,offset:0},link:{name:"link",base:z.LENGTH,prefixes:I.NONE,value:.201168,offset:0},rod:{name:"rod",base:z.LENGTH,prefixes:I.NONE,value:5.0292,offset:0},chain:{name:"chain",base:z.LENGTH,prefixes:I.NONE,value:20.1168,offset:0},angstrom:{name:"angstrom",base:z.LENGTH,prefixes:I.NONE,value:1e-10,offset:0},m:{name:"m",base:z.LENGTH,prefixes:I.SHORT,value:1,offset:0},in:{name:"in",base:z.LENGTH,prefixes:I.NONE,value:.0254,offset:0},ft:{name:"ft",base:z.LENGTH,prefixes:I.NONE,value:.3048,offset:0},yd:{name:"yd",base:z.LENGTH,prefixes:I.NONE,value:.9144,offset:0},mi:{name:"mi",base:z.LENGTH,prefixes:I.NONE,value:1609.344,offset:0},li:{name:"li",base:z.LENGTH,prefixes:I.NONE,value:.201168,offset:0},rd:{name:"rd",base:z.LENGTH,prefixes:I.NONE,value:5.02921,offset:0},ch:{name:"ch",base:z.LENGTH,prefixes:I.NONE,value:20.1168,offset:0},mil:{name:"mil",base:z.LENGTH,prefixes:I.NONE,value:254e-7,offset:0},m2:{name:"m2",base:z.SURFACE,prefixes:I.SQUARED,value:1,offset:0},sqin:{name:"sqin",base:z.SURFACE,prefixes:I.NONE,value:64516e-8,offset:0},sqft:{name:"sqft",base:z.SURFACE,prefixes:I.NONE,value:.09290304,offset:0},sqyd:{name:"sqyd",base:z.SURFACE,prefixes:I.NONE,value:.83612736,offset:0},sqmi:{name:"sqmi",base:z.SURFACE,prefixes:I.NONE,value:2589988.110336,offset:0},sqrd:{name:"sqrd",base:z.SURFACE,prefixes:I.NONE,value:25.29295,offset:0},sqch:{name:"sqch",base:z.SURFACE,prefixes:I.NONE,value:404.6873,offset:0},sqmil:{name:"sqmil",base:z.SURFACE,prefixes:I.NONE,value:6.4516e-10,offset:0},acre:{name:"acre",base:z.SURFACE,prefixes:I.NONE,value:4046.86,offset:0},hectare:{name:"hectare",base:z.SURFACE,prefixes:I.NONE,value:1e4,offset:0},m3:{name:"m3",base:z.VOLUME,prefixes:I.CUBIC,value:1,offset:0},L:{name:"L",base:z.VOLUME,prefixes:I.SHORT,value:.001,offset:0},l:{name:"l",base:z.VOLUME,prefixes:I.SHORT,value:.001,offset:0},litre:{name:"litre",base:z.VOLUME,prefixes:I.LONG,value:.001,offset:0},cuin:{name:"cuin",base:z.VOLUME,prefixes:I.NONE,value:16387064e-12,offset:0},cuft:{name:"cuft",base:z.VOLUME,prefixes:I.NONE,value:.028316846592,offset:0},cuyd:{name:"cuyd",base:z.VOLUME,prefixes:I.NONE,value:.764554857984,offset:0},teaspoon:{name:"teaspoon",base:z.VOLUME,prefixes:I.NONE,value:5e-6,offset:0},tablespoon:{name:"tablespoon",base:z.VOLUME,prefixes:I.NONE,value:15e-6,offset:0},drop:{name:"drop",base:z.VOLUME,prefixes:I.NONE,value:5e-8,offset:0},gtt:{name:"gtt",base:z.VOLUME,prefixes:I.NONE,value:5e-8,offset:0},minim:{name:"minim",base:z.VOLUME,prefixes:I.NONE,value:6.161152e-8,offset:0},fluiddram:{name:"fluiddram",base:z.VOLUME,prefixes:I.NONE,value:36966911e-13,offset:0},fluidounce:{name:"fluidounce",base:z.VOLUME,prefixes:I.NONE,value:2957353e-11,offset:0},gill:{name:"gill",base:z.VOLUME,prefixes:I.NONE,value:.0001182941,offset:0},cc:{name:"cc",base:z.VOLUME,prefixes:I.NONE,value:1e-6,offset:0},cup:{name:"cup",base:z.VOLUME,prefixes:I.NONE,value:.0002365882,offset:0},pint:{name:"pint",base:z.VOLUME,prefixes:I.NONE,value:.0004731765,offset:0},quart:{name:"quart",base:z.VOLUME,prefixes:I.NONE,value:.0009463529,offset:0},gallon:{name:"gallon",base:z.VOLUME,prefixes:I.NONE,value:.003785412,offset:0},beerbarrel:{name:"beerbarrel",base:z.VOLUME,prefixes:I.NONE,value:.1173478,offset:0},oilbarrel:{name:"oilbarrel",base:z.VOLUME,prefixes:I.NONE,value:.1589873,offset:0},hogshead:{name:"hogshead",base:z.VOLUME,prefixes:I.NONE,value:.238481,offset:0},fldr:{name:"fldr",base:z.VOLUME,prefixes:I.NONE,value:36966911e-13,offset:0},floz:{name:"floz",base:z.VOLUME,prefixes:I.NONE,value:2957353e-11,offset:0},gi:{name:"gi",base:z.VOLUME,prefixes:I.NONE,value:.0001182941,offset:0},cp:{name:"cp",base:z.VOLUME,prefixes:I.NONE,value:.0002365882,offset:0},pt:{name:"pt",base:z.VOLUME,prefixes:I.NONE,value:.0004731765,offset:0},qt:{name:"qt",base:z.VOLUME,prefixes:I.NONE,value:.0009463529,offset:0},gal:{name:"gal",base:z.VOLUME,prefixes:I.NONE,value:.003785412,offset:0},bbl:{name:"bbl",base:z.VOLUME,prefixes:I.NONE,value:.1173478,offset:0},obl:{name:"obl",base:z.VOLUME,prefixes:I.NONE,value:.1589873,offset:0},g:{name:"g",base:z.MASS,prefixes:I.SHORT,value:.001,offset:0},gram:{name:"gram",base:z.MASS,prefixes:I.LONG,value:.001,offset:0},ton:{name:"ton",base:z.MASS,prefixes:I.SHORT,value:907.18474,offset:0},t:{name:"t",base:z.MASS,prefixes:I.SHORT,value:1e3,offset:0},tonne:{name:"tonne",base:z.MASS,prefixes:I.LONG,value:1e3,offset:0},grain:{name:"grain",base:z.MASS,prefixes:I.NONE,value:6479891e-11,offset:0},dram:{name:"dram",base:z.MASS,prefixes:I.NONE,value:.0017718451953125,offset:0},ounce:{name:"ounce",base:z.MASS,prefixes:I.NONE,value:.028349523125,offset:0},poundmass:{name:"poundmass",base:z.MASS,prefixes:I.NONE,value:.45359237,offset:0},hundredweight:{name:"hundredweight",base:z.MASS,prefixes:I.NONE,value:45.359237,offset:0},stick:{name:"stick",base:z.MASS,prefixes:I.NONE,value:.115,offset:0},stone:{name:"stone",base:z.MASS,prefixes:I.NONE,value:6.35029318,offset:0},gr:{name:"gr",base:z.MASS,prefixes:I.NONE,value:6479891e-11,offset:0},dr:{name:"dr",base:z.MASS,prefixes:I.NONE,value:.0017718451953125,offset:0},oz:{name:"oz",base:z.MASS,prefixes:I.NONE,value:.028349523125,offset:0},lbm:{name:"lbm",base:z.MASS,prefixes:I.NONE,value:.45359237,offset:0},cwt:{name:"cwt",base:z.MASS,prefixes:I.NONE,value:45.359237,offset:0},s:{name:"s",base:z.TIME,prefixes:I.SHORT,value:1,offset:0},min:{name:"min",base:z.TIME,prefixes:I.NONE,value:60,offset:0},h:{name:"h",base:z.TIME,prefixes:I.NONE,value:3600,offset:0},second:{name:"second",base:z.TIME,prefixes:I.LONG,value:1,offset:0},sec:{name:"sec",base:z.TIME,prefixes:I.LONG,value:1,offset:0},minute:{name:"minute",base:z.TIME,prefixes:I.NONE,value:60,offset:0},hour:{name:"hour",base:z.TIME,prefixes:I.NONE,value:3600,offset:0},day:{name:"day",base:z.TIME,prefixes:I.NONE,value:86400,offset:0},week:{name:"week",base:z.TIME,prefixes:I.NONE,value:604800,offset:0},month:{name:"month",base:z.TIME,prefixes:I.NONE,value:2629800,offset:0},year:{name:"year",base:z.TIME,prefixes:I.NONE,value:31557600,offset:0},decade:{name:"decade",base:z.TIME,prefixes:I.NONE,value:315576e3,offset:0},century:{name:"century",base:z.TIME,prefixes:I.NONE,value:315576e4,offset:0},millennium:{name:"millennium",base:z.TIME,prefixes:I.NONE,value:315576e5,offset:0},hertz:{name:"Hertz",base:z.FREQUENCY,prefixes:I.LONG,value:1,offset:0,reciprocal:!0},Hz:{name:"Hz",base:z.FREQUENCY,prefixes:I.SHORT,value:1,offset:0,reciprocal:!0},rad:{name:"rad",base:z.ANGLE,prefixes:I.SHORT,value:1,offset:0},radian:{name:"radian",base:z.ANGLE,prefixes:I.LONG,value:1,offset:0},deg:{name:"deg",base:z.ANGLE,prefixes:I.SHORT,value:null,offset:0},degree:{name:"degree",base:z.ANGLE,prefixes:I.LONG,value:null,offset:0},grad:{name:"grad",base:z.ANGLE,prefixes:I.SHORT,value:null,offset:0},gradian:{name:"gradian",base:z.ANGLE,prefixes:I.LONG,value:null,offset:0},cycle:{name:"cycle",base:z.ANGLE,prefixes:I.NONE,value:null,offset:0},arcsec:{name:"arcsec",base:z.ANGLE,prefixes:I.NONE,value:null,offset:0},arcmin:{name:"arcmin",base:z.ANGLE,prefixes:I.NONE,value:null,offset:0},A:{name:"A",base:z.CURRENT,prefixes:I.SHORT,value:1,offset:0},ampere:{name:"ampere",base:z.CURRENT,prefixes:I.LONG,value:1,offset:0},K:{name:"K",base:z.TEMPERATURE,prefixes:I.NONE,value:1,offset:0},degC:{name:"degC",base:z.TEMPERATURE,prefixes:I.NONE,value:1,offset:273.15},degF:{name:"degF",base:z.TEMPERATURE,prefixes:I.NONE,value:1/1.8,offset:459.67},degR:{name:"degR",base:z.TEMPERATURE,prefixes:I.NONE,value:1/1.8,offset:0},kelvin:{name:"kelvin",base:z.TEMPERATURE,prefixes:I.NONE,value:1,offset:0},celsius:{name:"celsius",base:z.TEMPERATURE,prefixes:I.NONE,value:1,offset:273.15},fahrenheit:{name:"fahrenheit",base:z.TEMPERATURE,prefixes:I.NONE,value:1/1.8,offset:459.67},rankine:{name:"rankine",base:z.TEMPERATURE,prefixes:I.NONE,value:1/1.8,offset:0},mol:{name:"mol",base:z.AMOUNT_OF_SUBSTANCE,prefixes:I.SHORT,value:1,offset:0},mole:{name:"mole",base:z.AMOUNT_OF_SUBSTANCE,prefixes:I.LONG,value:1,offset:0},cd:{name:"cd",base:z.LUMINOUS_INTENSITY,prefixes:I.SHORT,value:1,offset:0},candela:{name:"candela",base:z.LUMINOUS_INTENSITY,prefixes:I.LONG,value:1,offset:0},N:{name:"N",base:z.FORCE,prefixes:I.SHORT,value:1,offset:0},newton:{name:"newton",base:z.FORCE,prefixes:I.LONG,value:1,offset:0},dyn:{name:"dyn",base:z.FORCE,prefixes:I.SHORT,value:1e-5,offset:0},dyne:{name:"dyne",base:z.FORCE,prefixes:I.LONG,value:1e-5,offset:0},lbf:{name:"lbf",base:z.FORCE,prefixes:I.NONE,value:4.4482216152605,offset:0},poundforce:{name:"poundforce",base:z.FORCE,prefixes:I.NONE,value:4.4482216152605,offset:0},kip:{name:"kip",base:z.FORCE,prefixes:I.LONG,value:4448.2216,offset:0},kilogramforce:{name:"kilogramforce",base:z.FORCE,prefixes:I.NONE,value:9.80665,offset:0},J:{name:"J",base:z.ENERGY,prefixes:I.SHORT,value:1,offset:0},joule:{name:"joule",base:z.ENERGY,prefixes:I.SHORT,value:1,offset:0},erg:{name:"erg",base:z.ENERGY,prefixes:I.NONE,value:1e-7,offset:0},Wh:{name:"Wh",base:z.ENERGY,prefixes:I.SHORT,value:3600,offset:0},BTU:{name:"BTU",base:z.ENERGY,prefixes:I.BTU,value:1055.05585262,offset:0},eV:{name:"eV",base:z.ENERGY,prefixes:I.SHORT,value:1602176565e-28,offset:0},electronvolt:{name:"electronvolt",base:z.ENERGY,prefixes:I.LONG,value:1602176565e-28,offset:0},W:{name:"W",base:z.POWER,prefixes:I.SHORT,value:1,offset:0},watt:{name:"watt",base:z.POWER,prefixes:I.LONG,value:1,offset:0},hp:{name:"hp",base:z.POWER,prefixes:I.NONE,value:745.6998715386,offset:0},VAR:{name:"VAR",base:z.POWER,prefixes:I.SHORT,value:w.I,offset:0},VA:{name:"VA",base:z.POWER,prefixes:I.SHORT,value:1,offset:0},Pa:{name:"Pa",base:z.PRESSURE,prefixes:I.SHORT,value:1,offset:0},psi:{name:"psi",base:z.PRESSURE,prefixes:I.NONE,value:6894.75729276459,offset:0},atm:{name:"atm",base:z.PRESSURE,prefixes:I.NONE,value:101325,offset:0},bar:{name:"bar",base:z.PRESSURE,prefixes:I.SHORTLONG,value:1e5,offset:0},torr:{name:"torr",base:z.PRESSURE,prefixes:I.NONE,value:133.322,offset:0},mmHg:{name:"mmHg",base:z.PRESSURE,prefixes:I.NONE,value:133.322,offset:0},mmH2O:{name:"mmH2O",base:z.PRESSURE,prefixes:I.NONE,value:9.80665,offset:0},cmH2O:{name:"cmH2O",base:z.PRESSURE,prefixes:I.NONE,value:98.0665,offset:0},coulomb:{name:"coulomb",base:z.ELECTRIC_CHARGE,prefixes:I.LONG,value:1,offset:0},C:{name:"C",base:z.ELECTRIC_CHARGE,prefixes:I.SHORT,value:1,offset:0},farad:{name:"farad",base:z.ELECTRIC_CAPACITANCE,prefixes:I.LONG,value:1,offset:0},F:{name:"F",base:z.ELECTRIC_CAPACITANCE,prefixes:I.SHORT,value:1,offset:0},volt:{name:"volt",base:z.ELECTRIC_POTENTIAL,prefixes:I.LONG,value:1,offset:0},V:{name:"V",base:z.ELECTRIC_POTENTIAL,prefixes:I.SHORT,value:1,offset:0},ohm:{name:"ohm",base:z.ELECTRIC_RESISTANCE,prefixes:I.SHORTLONG,value:1,offset:0},henry:{name:"henry",base:z.ELECTRIC_INDUCTANCE,prefixes:I.LONG,value:1,offset:0},H:{name:"H",base:z.ELECTRIC_INDUCTANCE,prefixes:I.SHORT,value:1,offset:0},siemens:{name:"siemens",base:z.ELECTRIC_CONDUCTANCE,prefixes:I.LONG,value:1,offset:0},S:{name:"S",base:z.ELECTRIC_CONDUCTANCE,prefixes:I.SHORT,value:1,offset:0},weber:{name:"weber",base:z.MAGNETIC_FLUX,prefixes:I.LONG,value:1,offset:0},Wb:{name:"Wb",base:z.MAGNETIC_FLUX,prefixes:I.SHORT,value:1,offset:0},tesla:{name:"tesla",base:z.MAGNETIC_FLUX_DENSITY,prefixes:I.LONG,value:1,offset:0},T:{name:"T",base:z.MAGNETIC_FLUX_DENSITY,prefixes:I.SHORT,value:1,offset:0},b:{name:"b",base:z.BIT,prefixes:I.BINARY_SHORT,value:1,offset:0},bits:{name:"bits",base:z.BIT,prefixes:I.BINARY_LONG,value:1,offset:0},B:{name:"B",base:z.BIT,prefixes:I.BINARY_SHORT,value:8,offset:0},bytes:{name:"bytes",base:z.BIT,prefixes:I.BINARY_LONG,value:8,offset:0}},L={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 U(e){if("BigNumber"===e.number){var t=ds(N);P.rad.value=new N(1),P.deg.value=t.div(180),P.grad.value=t.div(200),P.cycle.value=t.times(2),P.arcsec.value=t.div(648e3),P.arcmin.value=t.div(10800)}else P.rad.value=1,P.deg.value=Math.PI/180,P.grad.value=Math.PI/200,P.cycle.value=2*Math.PI,P.arcsec.value=Math.PI/648e3,P.arcmin.value=Math.PI/10800;P.radian.value=P.rad.value,P.degree.value=P.deg.value,P.gradian.value=P.grad.value}U(u),a&&a("config",(function(e,t){e.number!==t.number&&U(e)}));var H={si:{NONE:{unit:j,prefix:I.NONE[""]},LENGTH:{unit:P.m,prefix:I.SHORT[""]},MASS:{unit:P.g,prefix:I.SHORT.k},TIME:{unit:P.s,prefix:I.SHORT[""]},CURRENT:{unit:P.A,prefix:I.SHORT[""]},TEMPERATURE:{unit:P.K,prefix:I.SHORT[""]},LUMINOUS_INTENSITY:{unit:P.cd,prefix:I.SHORT[""]},AMOUNT_OF_SUBSTANCE:{unit:P.mol,prefix:I.SHORT[""]},ANGLE:{unit:P.rad,prefix:I.SHORT[""]},BIT:{unit:P.bits,prefix:I.SHORT[""]},FORCE:{unit:P.N,prefix:I.SHORT[""]},ENERGY:{unit:P.J,prefix:I.SHORT[""]},POWER:{unit:P.W,prefix:I.SHORT[""]},PRESSURE:{unit:P.Pa,prefix:I.SHORT[""]},ELECTRIC_CHARGE:{unit:P.C,prefix:I.SHORT[""]},ELECTRIC_CAPACITANCE:{unit:P.F,prefix:I.SHORT[""]},ELECTRIC_POTENTIAL:{unit:P.V,prefix:I.SHORT[""]},ELECTRIC_RESISTANCE:{unit:P.ohm,prefix:I.SHORT[""]},ELECTRIC_INDUCTANCE:{unit:P.H,prefix:I.SHORT[""]},ELECTRIC_CONDUCTANCE:{unit:P.S,prefix:I.SHORT[""]},MAGNETIC_FLUX:{unit:P.Wb,prefix:I.SHORT[""]},MAGNETIC_FLUX_DENSITY:{unit:P.T,prefix:I.SHORT[""]},FREQUENCY:{unit:P.Hz,prefix:I.SHORT[""]}}};H.cgs=JSON.parse(JSON.stringify(H.si)),H.cgs.LENGTH={unit:P.m,prefix:I.SHORT.c},H.cgs.MASS={unit:P.g,prefix:I.SHORT[""]},H.cgs.FORCE={unit:P.dyn,prefix:I.SHORT[""]},H.cgs.ENERGY={unit:P.erg,prefix:I.NONE[""]},H.us=JSON.parse(JSON.stringify(H.si)),H.us.LENGTH={unit:P.ft,prefix:I.NONE[""]},H.us.MASS={unit:P.lbm,prefix:I.NONE[""]},H.us.TEMPERATURE={unit:P.degF,prefix:I.NONE[""]},H.us.FORCE={unit:P.lbf,prefix:I.NONE[""]},H.us.ENERGY={unit:P.BTU,prefix:I.BTU[""]},H.us.POWER={unit:P.hp,prefix:I.NONE[""]},H.us.PRESSURE={unit:P.psi,prefix:I.NONE[""]},H.auto=JSON.parse(JSON.stringify(H.si));var G=H.auto;for(var V in A.setUnitSystem=function(e){if(!we(H,e))throw new Error("Unit system "+e+" does not exist. Choices are: "+Object.keys(H).join(", "));G=H[e]},A.getUnitSystem=function(){for(var e in H)if(we(H,e)&&H[e]===G)return e},A.typeConverters={BigNumber:function(e){return new N(e+"")},Fraction:function(e){return new D(e)},Complex:function(e){return e},number:function(e){return e}},A.prototype._numberConverter=function(){var e=A.typeConverters[this.valueType()];if(e)return e;throw new TypeError('Unsupported Unit value type "'+this.valueType()+'"')},A._getNumberConverter=function(e){if(!A.typeConverters[e])throw new TypeError('Unsupported type "'+e+'"');return A.typeConverters[e]},P)if(we(P,V)){var Z=P[V];Z.dimensions=Z.base.dimensions}for(var W in L)if(we(L,W)){var J=P[L[W]],Y={};for(var X in J)we(J,X)&&(Y[X]=J[X]);Y.name=W,P[W]=Y}return A.isValidAlpha=function(e){return/^[a-zA-Z]$/.test(e)},A.createUnit=function(e,r){if("object"!==t(e))throw new TypeError("createUnit expects first parameter to be of type 'Object'");if(r&&r.override)for(var n in e)if(we(e,n)&&A.deleteUnit(n),e[n].aliases)for(var i=0;i<e[n].aliases.length;i++)A.deleteUnit(e[n].aliases[i]);var a;for(var o in e)we(e,o)&&(a=A.createUnitSingle(o,e[o]));return a},A.createUnitSingle=function(e,r,n){if(null==r&&(r={}),"string"!=typeof e)throw new TypeError("createUnitSingle expects first parameter to be of type 'string'");if(we(P,e))throw new Error('Cannot create unit "'+e+'": a unit with that name already exists');!function(e){for(var t=0;t<e.length;t++){if(i=e.charAt(t),0===t&&!A.isValidAlpha(i))throw new Error('Invalid unit name (must begin with alpha character): "'+e+'"');if(t>0&&!A.isValidAlpha(i)&&!C(i))throw new Error('Invalid unit name (only alphanumeric characters are allowed): "'+e+'"')}}(e);var a,o,u,s=null,c=[],f=0;if(r&&"Unit"===r.type)s=r.clone();else if("string"==typeof r)""!==r&&(a=r);else{if("object"!==t(r))throw new TypeError('Cannot create unit "'+e+'" from "'+r.toString()+'": expecting "string" or "Unit" or "Object"');a=r.definition,o=r.prefixes,f=r.offset,u=r.baseName,r.aliases&&(c=r.aliases.valueOf())}if(c)for(var l=0;l<c.length;l++)if(we(P,c[l]))throw new Error('Cannot create alias "'+c[l]+'": a unit with that name already exists');if(a&&"string"==typeof a&&!s)try{s=A.parse(a,{allowNoUnits:!0})}catch(t){throw t.message='Could not create unit "'+e+'" from "'+a+'": '+t.message,t}else a&&"Unit"===a.type&&(s=a.clone());c=c||[],f=f||0,o=o&&o.toUpperCase&&I[o.toUpperCase()]||I.NONE;var p={};if(s){p={name:e,value:s.value,dimensions:s.dimensions.slice(0),prefixes:o,offset:f};var m=!1;for(var h in z)if(we(z,h)){for(var d=!0,v=0;v<R.length;v++)if(Math.abs((p.dimensions[v]||0)-(z[h].dimensions[v]||0))>1e-12){d=!1;break}if(d){m=!0,p.base=z[h];break}}if(!m){u=u||e+"_STUFF";var g={dimensions:s.dimensions.slice(0)};g.key=u,z[u]=g,G[u]={unit:p,prefix:I.NONE[""]},p.base=z[u]}}else{if(u=u||e+"_STUFF",R.indexOf(u)>=0)throw new Error('Cannot create new base unit "'+e+'": a base unit with that name already exists (and cannot be overridden)');for(var y in R.push(u),z)we(z,y)&&(z[y].dimensions[R.length-1]=0);for(var x={dimensions:[]},b=0;b<R.length;b++)x.dimensions[b]=0;x.dimensions[R.length-1]=1,x.key=u,z[u]=x,p={name:e,value:1,dimensions:z[u].dimensions.slice(0),prefixes:o,offset:f,base:z[u]},G[u]={unit:p,prefix:I.NONE[""]}}A.UNITS[e]=p;for(var w=0;w<c.length;w++){var N=c[w],D={};for(var E in p)we(p,E)&&(D[E]=p[E]);D.name=N,A.UNITS[N]=D}return delete _.cache,new A(null,e)},A.deleteUnit=function(e){delete A.UNITS[e]},A.PREFIXES=I,A.BASE_DIMENSIONS=R,A.BASE_UNITS=z,A.UNIT_SYSTEMS=H,A.UNITS=P,A}),{isClass:!0}),ws="unit",Ns=De(ws,["typed","Unit"],(function(e){var t=e.typed,r=e.Unit;return t(ws,{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)},"number | BigNumber | Fraction":function(e){return new r(e)},"Array | Matrix":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),Ds="sparse",Es=De(Ds,["typed","SparseMatrix"],(function(e){var t=e.typed,r=e.SparseMatrix;return t(Ds,{"":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)}})})),As="createUnit",Ss=De(As,["typed","Unit"],(function(e){var t=e.typed,r=e.Unit;return t(As,{"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,{})}})})),Cs="acos",Ms=De(Cs,["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t(Cs,{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()}})})),Fs="number";function Os(e){return ue(e)}function Ts(e){return Math.atan(1/e)}function Bs(e){return isFinite(e)?(Math.log((e+1)/e)+Math.log(e/(e-1)))/2:0}function _s(e){return Math.asin(1/e)}function ks(e){var t=1/e;return Math.log(t+Math.sqrt(t*t+1))}function Is(e){return Math.acos(1/e)}function Rs(e){var t=1/e,r=Math.sqrt(t*t-1);return Math.log(r+t)}function zs(e){return se(e)}function qs(e){return ce(e)}function js(e){return 1/Math.tan(e)}function Ps(e){var t=Math.exp(2*e);return(t+1)/(t-1)}function Ls(e){return 1/Math.sin(e)}function Us(e){return 0===e?Number.POSITIVE_INFINITY:Math.abs(2/(Math.exp(e)-Math.exp(-e)))*V(e)}function $s(e){return 1/Math.cos(e)}function Hs(e){return 2/(Math.exp(e)+Math.exp(-e))}function Gs(e){return le(e)}Os.signature=Fs,Ts.signature=Fs,Bs.signature=Fs,_s.signature=Fs,ks.signature=Fs,Is.signature=Fs,Rs.signature=Fs,zs.signature=Fs,qs.signature=Fs,js.signature=Fs,Ps.signature=Fs,Ls.signature=Fs,Us.signature=Fs,$s.signature=Fs,Hs.signature=Fs,Gs.signature=Fs;var Vs="acosh",Zs=De(Vs,["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t(Vs,{number:function(e){return e>=1||r.predictable?Os(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()}})})),Ws="acot",Js=De(Ws,["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t(Ws,{number:Ts,Complex:function(e){return e.acot()},BigNumber:function(e){return new r(1).div(e).atan()}})})),Ys="acoth",Xs=De(Ys,["typed","config","Complex","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.Complex,i=e.BigNumber;return t(Ys,{number:function(e){return e>=1||e<=-1||r.predictable?Bs(e):new n(e,0).acoth()},Complex:function(e){return e.acoth()},BigNumber:function(e){return new i(1).div(e).atanh()}})})),Qs="acsc",Ks=De(Qs,["typed","config","Complex","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.Complex,i=e.BigNumber;return t(Qs,{number:function(e){return e<=-1||e>=1||r.predictable?_s(e):new n(e,0).acsc()},Complex:function(e){return e.acsc()},BigNumber:function(e){return new i(1).div(e).asin()}})})),ec="acsch",tc=De(ec,["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t(ec,{number:ks,Complex:function(e){return e.acsch()},BigNumber:function(e){return new r(1).div(e).asinh()}})})),rc="asec",nc=De(rc,["typed","config","Complex","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.Complex,i=e.BigNumber;return t(rc,{number:function(e){return e<=-1||e>=1||r.predictable?Is(e):new n(e,0).asec()},Complex:function(e){return e.asec()},BigNumber:function(e){return new i(1).div(e).acos()}})})),ic="asech",ac=De(ic,["typed","config","Complex","BigNumber"],(function(e){var t=e.typed,r=e.config,n=e.Complex,i=e.BigNumber;return t(ic,{number:function(e){if(e<=1&&e>=-1||r.predictable){var t=1/e;if(t>0||r.predictable)return Rs(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()}})})),oc="asin",uc=De(oc,["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t(oc,{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()}})})),sc=De("asinh",["typed"],(function(e){return(0,e.typed)("asinh",{number:zs,Complex:function(e){return e.asinh()},BigNumber:function(e){return e.asinh()}})})),cc=De("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()}})})),fc="atan2",lc=De(fc,["typed","matrix","equalScalar","BigNumber","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.equalScalar,i=e.BigNumber,a=e.DenseMatrix,o=Kn({typed:t,equalScalar:n}),u=oi({typed:t}),s=Ai({typed:t,equalScalar:n}),c=Cn({typed:t,equalScalar:n}),f=Mn({typed:t,DenseMatrix:a}),l=Xn({typed:t,matrix:r});return t(fc,{"number, number":Math.atan2,"BigNumber, BigNumber":function(e,t){return i.atan2(e,t)}},l({scalar:"number | BigNumber",SS:s,DS:u,SD:o,Ss:c,sS:f}))})),pc="atanh",mc=De(pc,["typed","config","Complex"],(function(e){var t=e.typed,r=e.config,n=e.Complex;return t(pc,{number:function(e){return e<=1&&e>=-1||r.predictable?qs(e):new n(e,0).atanh()},Complex:function(e){return e.atanh()},BigNumber:function(e){return e.atanh()}})})),hc=De("trigUnit",["typed"],(function(e){var t=e.typed;return{Unit:t.referToSelf((function(e){return function(r){if(!r.hasBase(r.constructor.BASE_UNITS.ANGLE))throw new TypeError("Unit in function cot is no angle");return t.find(e,r.valueType())(r.value)}}))}})),dc=De("cos",["typed"],(function(e){var t=e.typed,r=hc({typed:t});return t("cos",{number:Math.cos,"Complex | BigNumber":function(e){return e.cos()}},r)})),vc="cosh",gc=De(vc,["typed"],(function(e){return(0,e.typed)(vc,{number:fe,"Complex | BigNumber":function(e){return e.cosh()}})})),yc=De("cot",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("cot",{number:js,Complex:function(e){return e.cot()},BigNumber:function(e){return new r(1).div(e.tan())}},hc({typed:t}))})),xc="coth",bc=De(xc,["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t(xc,{number:Ps,Complex:function(e){return e.coth()},BigNumber:function(e){return new r(1).div(e.tanh())}})})),wc=De("csc",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("csc",{number:Ls,Complex:function(e){return e.csc()},BigNumber:function(e){return new r(1).div(e.sin())}},hc({typed:t}))})),Nc="csch",Dc=De(Nc,["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t(Nc,{number:Us,Complex:function(e){return e.csch()},BigNumber:function(e){return new r(1).div(e.sinh())}})})),Ec=De("sec",["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t("sec",{number:$s,Complex:function(e){return e.sec()},BigNumber:function(e){return new r(1).div(e.cos())}},hc({typed:t}))})),Ac="sech",Sc=De(Ac,["typed","BigNumber"],(function(e){var t=e.typed,r=e.BigNumber;return t(Ac,{number:Hs,Complex:function(e){return e.sech()},BigNumber:function(e){return new r(1).div(e.cosh())}})})),Cc=De("sin",["typed"],(function(e){var t=e.typed,r=hc({typed:t});return t("sin",{number:Math.sin,"Complex | BigNumber":function(e){return e.sin()}},r)})),Mc="sinh",Fc=De(Mc,["typed"],(function(e){return(0,e.typed)(Mc,{number:Gs,"Complex | BigNumber":function(e){return e.sinh()}})})),Oc=De("tan",["typed"],(function(e){var t=e.typed,r=hc({typed:t});return t("tan",{number:Math.tan,"Complex | BigNumber":function(e){return e.tan()}},r)})),Tc=De("tanh",["typed"],(function(e){return(0,e.typed)("tanh",{number:pe,"Complex | BigNumber":function(e){return e.tanh()}})})),Bc="setCartesian",_c=De(Bc,["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(Bc,{"Array | Matrix, Array | Matrix":function(e,t){var u=[];if(0!==n(r(e),new a(0))&&0!==n(r(t),new a(0))){var s=Ct(Array.isArray(e)?e:e.toArray()).sort(i),c=Ct(Array.isArray(t)?t:t.toArray()).sort(i);u=[];for(var f=0;f<s.length;f++)for(var l=0;l<c.length;l++)u.push([s[f],c[l]])}return Array.isArray(e)&&Array.isArray(t)?u:new o(u)}})})),kc="setDifference",Ic=De(kc,["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(kc,{"Array | Matrix, Array | Matrix":function(e,t){var u;if(0===n(r(e),new a(0)))u=[];else{if(0===n(r(t),new a(0)))return Ct(e.toArray());var s,c=_t(Ct(Array.isArray(e)?e:e.toArray()).sort(i)),f=_t(Ct(Array.isArray(t)?t:t.toArray()).sort(i));u=[];for(var l=0;l<c.length;l++){s=!1;for(var p=0;p<f.length;p++)if(0===i(c[l].value,f[p].value)&&c[l].identifier===f[p].identifier){s=!0;break}s||u.push(c[l])}}return Array.isArray(e)&&Array.isArray(t)?kt(u):new o(kt(u))}})})),Rc="setDistinct",zc=De(Rc,["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(Rc,{"Array | Matrix":function(e){var t;if(0===n(r(e),new a(0)))t=[];else{var u=Ct(Array.isArray(e)?e:e.toArray()).sort(i);(t=[]).push(u[0]);for(var s=1;s<u.length;s++)0!==i(u[s],u[s-1])&&t.push(u[s])}return Array.isArray(e)?t:new o(t)}})})),qc="setIntersect",jc=De(qc,["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(qc,{"Array | Matrix, Array | Matrix":function(e,t){var u;if(0===n(r(e),new a(0))||0===n(r(t),new a(0)))u=[];else{var s=_t(Ct(Array.isArray(e)?e:e.toArray()).sort(i)),c=_t(Ct(Array.isArray(t)?t:t.toArray()).sort(i));u=[];for(var f=0;f<s.length;f++)for(var l=0;l<c.length;l++)if(0===i(s[f].value,c[l].value)&&s[f].identifier===c[l].identifier){u.push(s[f]);break}}return Array.isArray(e)&&Array.isArray(t)?kt(u):new o(kt(u))}})})),Pc="setIsSubset",Lc=De(Pc,["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(Pc,{"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,u=_t(Ct(Array.isArray(e)?e:e.toArray()).sort(i)),s=_t(Ct(Array.isArray(t)?t:t.toArray()).sort(i)),c=0;c<u.length;c++){o=!1;for(var f=0;f<s.length;f++)if(0===i(u[c].value,s[f].value)&&u[c].identifier===s[f].identifier){o=!0;break}if(!1===o)return!1}return!0}})})),Uc="setMultiplicity",$c=De(Uc,["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(Uc,{"number | BigNumber | Fraction | Complex, Array | Matrix":function(e,t){if(0===n(r(t),new a(0)))return 0;for(var o=Ct(Array.isArray(t)?t:t.toArray()),u=0,s=0;s<o.length;s++)0===i(o[s],e)&&u++;return u}})})),Hc="setPowerset",Gc=De(Hc,["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(Hc,{"Array | Matrix":function(e){if(0===n(r(e),new a(0)))return[];for(var t=Ct(Array.isArray(e)?e:e.toArray()).sort(i),u=[],s=0;s.toString(2).length<=t.length;)u.push(o(t,s.toString(2).split("").reverse())),s++;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}(u)}});function o(e,t){for(var r=[],n=0;n<t.length;n++)"1"===t[n]&&r.push(e[n]);return r}})),Vc="setSize",Zc=De(Vc,["typed","compareNatural"],(function(e){var t=e.typed,r=e.compareNatural;return t(Vc,{"Array | Matrix":function(e){return Array.isArray(e)?Ct(e).length:Ct(e.toArray()).length},"Array | Matrix, boolean":function(e,t){if(!1===t||0===e.length)return Array.isArray(e)?Ct(e).length:Ct(e.toArray()).length;for(var n=Ct(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}})})),Wc="setSymDifference",Jc=De(Wc,["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(Wc,{"Array | Matrix, Array | Matrix":function(e,t){if(0===i(r(e),new o(0)))return Ct(t);if(0===i(r(t),new o(0)))return Ct(e);var u=Ct(e),s=Ct(t);return n(a(u,s),a(s,u))}})})),Yc="setUnion",Xc=De(Yc,["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,u=e.Index;return t(Yc,{"Array | Matrix, Array | Matrix":function(e,t){if(0===i(r(e),new u(0)))return Ct(t);if(0===i(r(t),new u(0)))return Ct(e);var s=Ct(e),c=Ct(t);return n(o(s,c),a(s,c))}})})),Qc=De("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,Zn({typed:t})),u=Wn({typed:t,equalScalar:i}),s=Jn({typed:t,DenseMatrix:a}),c=Xn({typed:t,matrix:r});return t("add",{"any, any":n,"any, any, ...any":t.referToSelf((function(e){return function(t,r,n){for(var i=e(t,r),a=0;a<n.length;a++)i=e(i,n[a]);return i}}))},c({elop:n,DS:o,SS:u,Ss:s}))})),Kc="hypot",ef=De(Kc,["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,u=e.sqrt,s=e.smaller,c=e.isPositive;return t(Kc,{"... number | BigNumber":f,Array:f,Matrix:function(e){return f(Ct(e.toArray()))}});function f(e){for(var t=0,f=0,l=0;l<e.length;l++){if(o(e[l]))throw new TypeError("Unexpected type of argument to hypot");var p=r(e[l]);s(f,p)?(t=a(t,a(i(f,p),i(f,p))),t=n(t,1),f=p):t=n(t,c(p)?a(i(p,f),i(p,f)):p)}return a(f,u(t))}})),tf="norm",rf=De(tf,["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,u=e.multiply,s=e.equalScalar,c=e.larger,f=e.smaller,l=e.matrix,p=e.ctranspose,m=e.eigs;return t(tf,{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 h(l(e),2)},Matrix:function(e){return h(e,2)},"Array, number | BigNumber | string":function(e,t){return h(l(e),t)},"Matrix, number | BigNumber | string":function(e,t){return h(e,t)}});function h(e,t){var l=e.size();if(1===l.length)return function(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 h(e,2);if("number"==typeof t&&!isNaN(t)){if(!s(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")}(e,t);if(2===l.length){if(l[0]&&l[1])return function(e,t){if(1===t)return function(e){var t=[],i=0;return e.forEach((function(e,a){var o=a[1],u=n(t[o]||0,r(e));c(u,i)&&(i=u),t[o]=u}),!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],u=n(t[o]||0,r(e));c(u,i)&&(i=u),t[o]=u}),!0),i}(e);if("fro"===t)return function(e){var t=0;return e.forEach((function(e,r){t=n(t,u(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=u(n,e),a=m(i).values.toArray(),s=a[a.length-1];return r(o(s))}(e);throw new Error("Unsupported parameter value "+t)}(e,t);throw new RangeError("Invalid matrix dimensions")}}})),nf=De("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 s=o(e,a),c=l(e)?e._data:e,f=l(e)?e._datatype:void 0,p=l(a)?a._data:a,m=l(a)?a._datatype:void 0,h=2===u(e).length,d=2===u(a).length,v=r,g=n;if(f&&m&&f===m&&"string"==typeof f){var y=f;v=t.find(r,[y,y]),g=t.find(n,[y,y])}if(!h&&!d){for(var x=g(i(c[0]),p[0]),b=1;b<s;b++)x=v(x,g(i(c[b]),p[b]));return x}if(!h&&d){for(var w=g(i(c[0]),p[0][0]),N=1;N<s;N++)w=v(w,g(i(c[N]),p[N][0]));return w}if(h&&!d){for(var D=g(i(c[0][0]),p[0]),E=1;E<s;E++)D=v(D,g(i(c[E][0]),p[E]));return D}if(h&&d){for(var A=g(i(c[0][0]),p[0][0]),S=1;S<s;S++)A=v(A,g(i(c[S][0]),p[S][0]));return A}},"SparseMatrix, SparseMatrix":function(e,t){o(e,t);for(var i=e._index,a=e._values,u=t._index,s=t._values,c=0,f=r,l=n,p=0,m=0;p<i.length&&m<u.length;){var h=i[p],d=u[m];h<d?p++:h>d?m++:h===d&&(c=f(c,l(a[p],s[m])),p++,m++)}return c}});function o(e,t){var r,n,i=u(e),a=u(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 u(e){return l(e)?e.size():a(e)}})),af=De("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],u=a[1];if(o===u){var s=0;if(t.length>0)for(var c=0;c<u;c++)for(var f=i[c],l=i[c+1],p=f;p<l;p++){var m=r[p];if(m===c){s=n(s,t[p]);break}if(m>c)break}return s}throw new RangeError("Matrix must be square (size: "+ut(a)+")")},DenseMatrix:i,any:me});function i(e){var t=e._size,r=e._data;switch(t.length){case 1:if(1===t[0])return me(r[0]);throw new RangeError("Matrix must be square (size: "+ut(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: "+ut(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+ut(t)+")")}}})),of="index",uf=De(of,["typed","Index"],(function(e){var t=e.typed,r=e.Index;return t(of,{"...number | string | BigNumber | Range | Array | Matrix":function(e){var t=e.map((function(e){return a(e)?e.toNumber():Array.isArray(e)||l(e)?e.map((function(e){return a(e)?e.toNumber():e})):e})),n=new r;return r.apply(n,t),n}})})),sf=(r(189),new Set(["end"])),cf=De("Node",["mathWithTransform"],(function(e){var r=e.mathWithTransform;return function(){function e(){Se(this,e)}return Me(e,[{key:"type",get:function(){return"Node"}},{key:"isNode",get:function(){return!0}},{key:"evaluate",value:function(e){return this.compile().evaluate(e)}},{key:"compile",value:function(){var e=this._compile(r,{}),t={};return{evaluate:function(r){var n=Pe(r);return function(e){for(var t=0,r=yo(sf);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,t,null)}}}},{key:"_compile",value:function(e,t){throw new Error("Method _compile must be implemented by type "+this.type)}},{key:"forEach",value:function(e){throw new Error("Cannot run forEach on a Node interface")}},{key:"map",value:function(e){throw new Error("Cannot run map on a Node interface")}},{key:"_ifNode",value:function(e){if(!R(e))throw new TypeError("Callback function must return a Node");return e}},{key:"traverse",value: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)}},{key:"transform",value:function(e){return function t(r,n,i){var a=e(r,n,i);return a!==r?a:r.map(t)}(this,null,null)}},{key:"filter",value:function(e){var t=[];return this.traverse((function(r,n,i){e(r,n,i)&&t.push(r)})),t}},{key:"clone",value:function(){throw new Error("Cannot clone a Node interface")}},{key:"cloneDeep",value:function(){return this.map((function(e){return e.cloneDeep()}))}},{key:"equals",value:function(e){return!!e&&this.type===e.type&&ge(this,e)}},{key:"toString",value:function(e){var t=this._getCustomString(e);return void 0!==t?t:this._toString(e)}},{key:"toJSON",value:function(){throw new Error("Cannot serialize object: toJSON not implemented by "+this.type)}},{key:"toHTML",value:function(e){var t=this._getCustomString(e);return void 0!==t?t:this.toHTML(e)}},{key:"_toString",value:function(){throw new Error("_toString not implemented for "+this.type)}},{key:"toTex",value:function(e){var t=this._getCustomString(e);return void 0!==t?t:this._toTex(e)}},{key:"_toTex",value:function(e){throw new Error("_toTex not implemented for "+this.type)}},{key:"_getCustomString",value:function(e){if(e&&"object"===t(e))switch(t(e.handler)){case"object":case"undefined":return;case"function":return e.handler(this,e);default:throw new TypeError("Object or function expected as callback")}}},{key:"getIdentifier",value:function(){return this.type}},{key:"getContent",value:function(){return this}}]),e}()}),{isClass:!0,isNode:!0});function ff(e,t){return ff=Object.setPrototypeOf?Object.setPrototypeOf.bind():function(e,t){return e.__proto__=t,e},ff(e,t)}function lf(e,t){if("function"!=typeof t&&null!==t)throw new TypeError("Super expression must either be null or a function");e.prototype=Object.create(t&&t.prototype,{constructor:{value:e,writable:!0,configurable:!0}}),Object.defineProperty(e,"prototype",{writable:!1}),t&&ff(e,t)}function pf(e,r){if(r&&("object"===t(r)||"function"==typeof r))return r;if(void 0!==r)throw new TypeError("Derived constructors may only return object or undefined");return function(e){if(void 0===e)throw new ReferenceError("this hasn't been initialised - super() hasn't been called");return e}(e)}function mf(e){return mf=Object.setPrototypeOf?Object.getPrototypeOf.bind():function(e){return e.__proto__||Object.getPrototypeOf(e)},mf(e)}function hf(e){return e&&e.isIndexError?new mt(e.index+1,e.min+1,void 0!==e.max?e.max+1:void 0):e}function df(e){var r=e.subset;return function(e,n){try{if(Array.isArray(e))return r(e,n);if(e&&"function"==typeof e.subset)return e.subset(n);if("string"==typeof e)return r(e,n);if("object"===t(e)){if(!n.isObjectProperty())throw new TypeError("Cannot apply a numeric index as object property");return Fe(e,n.getObjectProperty())}throw new TypeError("Cannot apply index: unsupported type of object")}catch(e){throw hf(e)}}}r(1299),r(2419);var vf="AccessorNode",gf=De(vf,["subset","Node"],(function(e){var t=e.subset,r=e.Node,n=df({subset:t});function i(e){return!(S(e)||C(e)||T(e)||k(e)||z(e)||j(e)||L(e))}var a=function(e){lf(o,e);var t,r,a=(t=o,r=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,n=mf(t);if(r){var i=mf(this).constructor;e=Reflect.construct(n,arguments,i)}else e=n.apply(this,arguments);return pf(this,e)});function o(e,t){var r;if(Se(this,o),r=a.call(this),!R(e))throw new TypeError('Node expected for parameter "object"');if(!I(t))throw new TypeError('IndexNode expected for parameter "index"');return r.object=e,r.index=t,r}return Me(o,[{key:"name",get:function(){return this.index?this.index.isObjectProperty()?this.index.getObjectProperty():"":this.object.name||""}},{key:"type",get:function(){return vf}},{key:"isAccessorNode",get:function(){return!0}},{key:"_compile",value: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 Fe(r(e,t,n),a)}}return function(e,t,a){var o=r(e,t,a),u=i(e,t,o);return n(o,u)}}},{key:"forEach",value:function(e){e(this.object,"object",this),e(this.index,"index",this)}},{key:"map",value:function(e){return new o(this._ifNode(e(this.object,"object",this)),this._ifNode(e(this.index,"index",this)))}},{key:"clone",value:function(){return new o(this.object,this.index)}},{key:"_toString",value:function(e){var t=this.object.toString(e);return i(this.object)&&(t="("+t+")"),t+this.index.toString(e)}},{key:"toHTML",value:function(e){var t=this.object.toHTML(e);return i(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)}},{key:"_toTex",value:function(e){var t=this.object.toTex(e);return i(this.object)&&(t="\\left(' + object + '\\right)"),t+this.index.toTex(e)}},{key:"toJSON",value:function(){return{mathjs:vf,object:this.object,index:this.index}}}],[{key:"fromJSON",value:function(e){return new o(e.object,e.index)}}]),o}(r);return ps(a,"name",vf),a}),{isClass:!0,isNode:!0});var yf="ArrayNode",xf=De(yf,["Node"],(function(e){var t=function(e){lf(i,e);var t,r,n=(t=i,r=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,n=mf(t);if(r){var i=mf(this).constructor;e=Reflect.construct(n,arguments,i)}else e=n.apply(this,arguments);return pf(this,e)});function i(e){var t;if(Se(this,i),(t=n.call(this)).items=e||[],!Array.isArray(t.items)||!t.items.every(R))throw new TypeError("Array containing Nodes expected");return t}return Me(i,[{key:"type",get:function(){return yf}},{key:"isArrayNode",get:function(){return!0}},{key:"_compile",value:function(e,t){var r=Mt(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(Mt(r,(function(r){return r(e,t,i)})))}}return function(e,t,n){return Mt(r,(function(r){return r(e,t,n)}))}}},{key:"forEach",value:function(e){for(var t=0;t<this.items.length;t++)e(this.items[t],"items["+t+"]",this)}},{key:"map",value:function(e){for(var t=[],r=0;r<this.items.length;r++)t[r]=this._ifNode(e(this.items[r],"items["+r+"]",this));return new i(t)}},{key:"clone",value:function(){return new i(this.items.slice(0))}},{key:"_toString",value:function(e){return"["+this.items.map((function(t){return t.toString(e)})).join(", ")+"]"}},{key:"toJSON",value:function(){return{mathjs:yf,items:this.items}}},{key:"toHTML",value: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>'}},{key:"_toTex",value:function(e){return function t(r,n){var i=r.some(C)&&!r.every(C),a=n||i,o=a?"&":"\\\\",u=r.map((function(r){return r.items?t(r.items,!n):r.toTex(e)})).join(o);return i||!a||a&&!n?"\\begin{bmatrix}"+u+"\\end{bmatrix}":u}(this.items,!1)}}],[{key:"fromJSON",value:function(e){return new i(e.items)}}]),i}(e.Node);return ps(t,"name",yf),t}),{isClass:!0,isNode:!0});function bf(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 wf=[{AssignmentNode:{},FunctionAssignmentNode:{}},{ConditionalNode:{latexLeftParens:!1,latexRightParens:!1,latexParens:!1}},{"OperatorNode:or":{op:"or",associativity:"left",associativeWith:[]}},{"OperatorNode:xor":{op:"xor",associativity:"left",associativeWith:[]}},{"OperatorNode:and":{op:"and",associativity:"left",associativeWith:[]}},{"OperatorNode:bitOr":{op:"|",associativity:"left",associativeWith:[]}},{"OperatorNode:bitXor":{op:"^|",associativity:"left",associativeWith:[]}},{"OperatorNode:bitAnd":{op:"&",associativity:"left",associativeWith:[]}},{"OperatorNode:equal":{op:"==",associativity:"left",associativeWith:[]},"OperatorNode:unequal":{op:"!=",associativity:"left",associativeWith:[]},"OperatorNode:smaller":{op:"<",associativity:"left",associativeWith:[]},"OperatorNode:larger":{op:">",associativity:"left",associativeWith:[]},"OperatorNode:smallerEq":{op:"<=",associativity:"left",associativeWith:[]},"OperatorNode:largerEq":{op:">=",associativity:"left",associativeWith:[]},RelationalNode:{associativity:"left",associativeWith:[]}},{"OperatorNode:leftShift":{op:"<<",associativity:"left",associativeWith:[]},"OperatorNode:rightArithShift":{op:">>",associativity:"left",associativeWith:[]},"OperatorNode:rightLogShift":{op:">>>",associativity:"left",associativeWith:[]}},{"OperatorNode:to":{op:"to",associativity:"left",associativeWith:[]}},{RangeNode:{}},{"OperatorNode:add":{op:"+",associativity:"left",associativeWith:["OperatorNode:add","OperatorNode:subtract"]},"OperatorNode:subtract":{op:"-",associativity:"left",associativeWith:[]}},{"OperatorNode:multiply":{op:"*",associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","Operator:dotMultiply","Operator:dotDivide"]},"OperatorNode:divide":{op:"/",associativity:"left",associativeWith:[],latexLeftParens:!1,latexRightParens:!1,latexParens:!1},"OperatorNode:dotMultiply":{op:".*",associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","OperatorNode:dotMultiply","OperatorNode:doDivide"]},"OperatorNode:dotDivide":{op:"./",associativity:"left",associativeWith:[]},"OperatorNode:mod":{op:"mod",associativity:"left",associativeWith:[]}},{"OperatorNode:multiply":{associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","Operator:dotMultiply","Operator:dotDivide"]}},{"OperatorNode:unaryPlus":{op:"+",associativity:"right"},"OperatorNode:unaryMinus":{op:"-",associativity:"right"},"OperatorNode:bitNot":{op:"~",associativity:"right"},"OperatorNode:not":{op:"not",associativity:"right"}},{"OperatorNode:pow":{op:"^",associativity:"right",associativeWith:[],latexRightParens:!1},"OperatorNode:dotPow":{op:".^",associativity:"right",associativeWith:[]}},{"OperatorNode:factorial":{op:"!",associativity:"left"}},{"OperatorNode:ctranspose":{op:"'",associativity:"left"}}];function Nf(e,t){if(!t||"auto"!==t)return e;for(var r=e;j(r);)r=r.content;return r}function Df(e,t,r,n){var i=e;"keep"!==t&&(i=e.getContent());for(var a=i.getIdentifier(),o=null,u=0;u<wf.length;u++)if(a in wf[u]){o=u;break}if("OperatorNode:multiply"===a&&i.implicit&&"show"!==r){var s=Nf(i.args[0],t);T(s)&&n&&"OperatorNode:divide"===n.getIdentifier()&&B(Nf(n.args[0],t))||"OperatorNode:divide"===s.getIdentifier()&&B(Nf(s.args[0],t))&&T(Nf(s.args[1]))||(o+=1)}return o}function Ef(e,t){var r=e;"keep"!==t&&(r=e.getContent());var n=r.getIdentifier(),i=Df(r,t);if(null===i)return null;var a=wf[i][n];if(we(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 Af(e,t,r){var n="keep"!==r?e.getContent():e,i="keep"!==r?e.getContent():t,a=n.getIdentifier(),o=i.getIdentifier(),u=Df(n,r);if(null===u)return null;var s=wf[u][a];if(we(s,"associativeWith")&&s.associativeWith instanceof Array){for(var c=0;c<s.associativeWith.length;c++)if(s.associativeWith[c]===o)return!0;return!1}return null}function Sf(e){var t,r="OperatorNode:"+e,n=function(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(e){if("string"==typeof e)return bf(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)?bf(e,t):void 0}}(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,u=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){u=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(u)throw a}}}}(wf);try{for(n.s();!(t=n.n()).done;){var i=t.value;if(r in i)return i[r].op}}catch(e){n.e(e)}finally{n.f()}return null}var Cf="AssignmentNode",Mf=De(Cf,["subset","?matrix","Node"],(function(e){var r=e.subset,n=e.matrix,i=e.Node,a=df({subset:r}),o=function(e){var r=e.subset,n=e.matrix;return function(e,i,a){try{if(Array.isArray(e))return n(e).subset(i,a).valueOf();if(e&&"function"==typeof e.subset)return e.subset(i,a);if("string"==typeof e)return r(e,i,a);if("object"===t(e)){if(!i.isObjectProperty())throw TypeError("Cannot apply a numeric index as object property");return Oe(e,i.getObjectProperty(),a),e}throw new TypeError("Cannot apply index: unsupported type of object")}catch(e){throw hf(e)}}}({subset:r,matrix:n});function u(e,t,r){t||(t="keep");var n=Df(e,t,r),i=Df(e.value,t,r);return"all"===t||null!==i&&i<=n}var s=function(e){lf(i,e);var t,r,n=(t=i,r=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,n=mf(t);if(r){var i=mf(this).constructor;e=Reflect.construct(n,arguments,i)}else e=n.apply(this,arguments);return pf(this,e)});function i(e,t,r){var a;if(Se(this,i),(a=n.call(this)).object=e,a.index=r?t:null,a.value=r||t,!L(e)&&!S(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(a.index&&!I(a.index))throw new TypeError('IndexNode expected as "index"');if(!R(a.value))throw new TypeError('Node expected as "value"');return a}return Me(i,[{key:"name",get:function(){return this.index?this.index.isObjectProperty()?this.index.getObjectProperty():"":this.object.name||""}},{key:"type",get:function(){return Cf}},{key:"isAssignmentNode",get:function(){return!0}},{key:"_compile",value:function(e,t){var r=this.object._compile(e,t),n=this.index?this.index._compile(e,t):null,i=this.value._compile(e,t),u=this.object.name;if(this.index){if(this.index.isObjectProperty()){var s=this.index.getObjectProperty();return function(e,t,n){var a=r(e,t,n),o=i(e,t,n);return Oe(a,s,o),o}}if(L(this.object))return function(e,t,a){var s=r(e,t,a),c=i(e,t,a),f=n(e,t,s);return e.set(u,o(s,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 a=c(e,t,r),u=Fe(a,f),s=n(e,t,u),l=i(e,t,r);return Oe(a,f,o(u,s,l)),l}}var l=this.object.index._compile(e,t);return function(e,t,r){var u=c(e,t,r),s=l(e,t,u),f=a(u,s),p=n(e,t,f),m=i(e,t,r);return o(u,s,o(f,p,m)),m}}if(!L(this.object))throw new TypeError("SymbolNode expected as object");return function(e,t,r){var n=i(e,t,r);return e.set(u,n),n}}},{key:"forEach",value:function(e){e(this.object,"object",this),this.index&&e(this.index,"index",this),e(this.value,"value",this)}},{key:"map",value:function(e){return new i(this._ifNode(e(this.object,"object",this)),this.index?this._ifNode(e(this.index,"index",this)):null,this._ifNode(e(this.value,"value",this)))}},{key:"clone",value:function(){return new i(this.object,this.index,this.value)}},{key:"_toString",value: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,e&&e.implicit)&&(n="("+n+")"),t+r+" = "+n}},{key:"toJSON",value:function(){return{mathjs:Cf,object:this.object,index:this.index,value:this.value}}},{key:"toHTML",value: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,e&&e.implicit)&&(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}},{key:"_toTex",value: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,e&&e.implicit)&&(n="\\left(".concat(n,"\\right)")),t+r+":="+n}}],[{key:"fromJSON",value:function(e){return new i(e.object,e.index,e.value)}}]),i}(i);return ps(s,"name",Cf),s}),{isClass:!0,isNode:!0});var Ff="BlockNode",Of=De(Ff,["ResultSet","Node"],(function(e){var t=e.ResultSet,r=function(e){lf(a,e);var r,n,i=(r=a,n=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,t=mf(r);if(n){var i=mf(this).constructor;e=Reflect.construct(t,arguments,i)}else e=t.apply(this,arguments);return pf(this,e)});function a(e){var t;if(Se(this,a),t=i.call(this),!Array.isArray(e))throw new Error("Array expected");return t.blocks=e.map((function(e){var t=e&&e.node,r=!e||void 0===e.visible||e.visible;if(!R(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}})),t}return Me(a,[{key:"type",get:function(){return Ff}},{key:"isBlockNode",get:function(){return!0}},{key:"_compile",value:function(e,r){var n=Mt(this.blocks,(function(t){return{evaluate:t.node._compile(e,r),visible:t.visible}}));return function(e,r,i){var a=[];return Ft(n,(function(t){var n=t.evaluate(e,r,i);t.visible&&a.push(n)})),new t(a)}}},{key:"forEach",value:function(e){for(var t=0;t<this.blocks.length;t++)e(this.blocks[t].node,"blocks["+t+"].node",this)}},{key:"map",value:function(e){for(var t=[],r=0;r<this.blocks.length;r++){var n=this.blocks[r],i=this._ifNode(e(n.node,"blocks["+r+"].node",this));t[r]={node:i,visible:n.visible}}return new a(t)}},{key:"clone",value:function(){return new a(this.blocks.map((function(e){return{node:e.node,visible:e.visible}})))}},{key:"_toString",value:function(e){return this.blocks.map((function(t){return t.node.toString(e)+(t.visible?"":";")})).join("\n")}},{key:"toJSON",value:function(){return{mathjs:Ff,blocks:this.blocks}}},{key:"toHTML",value: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>')}},{key:"_toTex",value:function(e){return this.blocks.map((function(t){return t.node.toTex(e)+(t.visible?"":";")})).join("\\;\\;\n")}}],[{key:"fromJSON",value:function(e){return new a(e.blocks)}}]),a}(e.Node);return ps(r,"name",Ff),r}),{isClass:!0,isNode:!0});var Tf="ConditionalNode",Bf=De(Tf,["Node"],(function(e){var t=function(e){lf(i,e);var t,r,n=(t=i,r=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,n=mf(t);if(r){var i=mf(this).constructor;e=Reflect.construct(n,arguments,i)}else e=n.apply(this,arguments);return pf(this,e)});function i(e,t,r){var a;if(Se(this,i),a=n.call(this),!R(e))throw new TypeError("Parameter condition must be a Node");if(!R(t))throw new TypeError("Parameter trueExpr must be a Node");if(!R(r))throw new TypeError("Parameter falseExpr must be a Node");return a.condition=e,a.trueExpr=t,a.falseExpr=r,a}return Me(i,[{key:"type",get:function(){return Tf}},{key:"isConditionalNode",get:function(){return!0}},{key:"_compile",value: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,u){return function(e){if("number"==typeof e||"boolean"==typeof e||"string"==typeof e)return!!e;if(e){if(a(e))return!e.isZero();if(o(e))return!(!e.re&&!e.im);if(s(e))return!!e.value}if(null==e)return!1;throw new TypeError('Unsupported type of condition "'+$(e)+'"')}(r(e,t,u))?n(e,t,u):i(e,t,u)}}},{key:"forEach",value:function(e){e(this.condition,"condition",this),e(this.trueExpr,"trueExpr",this),e(this.falseExpr,"falseExpr",this)}},{key:"map",value:function(e){return new i(this._ifNode(e(this.condition,"condition",this)),this._ifNode(e(this.trueExpr,"trueExpr",this)),this._ifNode(e(this.falseExpr,"falseExpr",this)))}},{key:"clone",value:function(){return new i(this.condition,this.trueExpr,this.falseExpr)}},{key:"_toString",value:function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=Df(this,t,e&&e.implicit),n=this.condition.toString(e),i=Df(this.condition,t,e&&e.implicit);("all"===t||"OperatorNode"===this.condition.type||null!==i&&i<=r)&&(n="("+n+")");var a=this.trueExpr.toString(e),o=Df(this.trueExpr,t,e&&e.implicit);("all"===t||"OperatorNode"===this.trueExpr.type||null!==o&&o<=r)&&(a="("+a+")");var u=this.falseExpr.toString(e),s=Df(this.falseExpr,t,e&&e.implicit);return("all"===t||"OperatorNode"===this.falseExpr.type||null!==s&&s<=r)&&(u="("+u+")"),n+" ? "+a+" : "+u}},{key:"toJSON",value:function(){return{mathjs:Tf,condition:this.condition,trueExpr:this.trueExpr,falseExpr:this.falseExpr}}},{key:"toHTML",value:function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=Df(this,t,e&&e.implicit),n=this.condition.toHTML(e),i=Df(this.condition,t,e&&e.implicit);("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=Df(this.trueExpr,t,e&&e.implicit);("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 u=this.falseExpr.toHTML(e),s=Df(this.falseExpr,t,e&&e.implicit);return("all"===t||"OperatorNode"===this.falseExpr.type||null!==s&&s<=r)&&(u='<span class="math-parenthesis math-round-parenthesis">(</span>'+u+'<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>'+u}},{key:"_toTex",value: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}"}}],[{key:"fromJSON",value:function(e){return new i(e.condition,e.trueExpr,e.falseExpr)}}]),i}(e.Node);return ps(t,"name",Tf),t}),{isClass:!0,isNode:!0}),_f=r(7928),kf={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{?}"},If={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"},Rf={abs:{1:"\\left|${args[0]}\\right|"},add:{2:"\\left(${args[0]}".concat(If.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(${args[0]}".concat(If.dotDivide,"${args[1]}\\right)")},dotMultiply:{2:"\\left(${args[0]}".concat(If.dotMultiply,"${args[1]}\\right)")},dotPow:{2:"\\left(${args[0]}".concat(If.dotPow,"${args[1]}\\right)")},exp:{1:"\\exp\\left(${args[0]}\\right)"},expm1:"\\left(e".concat(If.pow,"{${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(If.mod,"${args[1]}\\right)")},multiply:{2:"\\left(${args[0]}".concat(If.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(${args[0]}\\right)".concat(If.pow,"{${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(If.subtract,"${args[1]}\\right)")},unaryMinus:{1:"".concat(If.unaryMinus,"\\left(${args[0]}\\right)")},unaryPlus:{1:"".concat(If.unaryPlus,"\\left(${args[0]}\\right)")},bitAnd:{2:"\\left(${args[0]}".concat(If.bitAnd,"${args[1]}\\right)")},bitNot:{1:If.bitNot+"\\left(${args[0]}\\right)"},bitOr:{2:"\\left(${args[0]}".concat(If.bitOr,"${args[1]}\\right)")},bitXor:{2:"\\left(${args[0]}".concat(If.bitXor,"${args[1]}\\right)")},leftShift:{2:"\\left(${args[0]}".concat(If.leftShift,"${args[1]}\\right)")},rightArithShift:{2:"\\left(${args[0]}".concat(If.rightArithShift,"${args[1]}\\right)")},rightLogShift:{2:"\\left(${args[0]}".concat(If.rightLogShift,"${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(If.and,"${args[1]}\\right)")},not:{1:If.not+"\\left(${args[0]}\\right)"},or:{2:"\\left(${args[0]}".concat(If.or,"${args[1]}\\right)")},xor:{2:"\\left(${args[0]}".concat(If.xor,"${args[1]}\\right)")},cross:{2:"\\left(${args[0]}\\right)\\times\\left(${args[1]}\\right)"},ctranspose:{1:"\\left(${args[0]}\\right)".concat(If.ctranspose)},det:{1:"\\det\\left(${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(If.pow,"{\\frac{1}{2}}")},trace:{1:"\\mathrm{tr}\\left(${args[0]}\\right)"},transpose:{1:"\\left(${args[0]}\\right)".concat(If.transpose)},combinations:{2:"\\binom{${args[0]}}{${args[1]}}"},combinationsWithRep:{2:"\\left(\\!\\!{\\binom{${args[0]}}{${args[1]}}}\\!\\!\\right)"},factorial:{1:"\\left(${args[0]}\\right)".concat(If.factorial)},gamma:{1:"\\Gamma\\left(${args[0]}\\right)"},lgamma:{1:"\\ln\\Gamma\\left(${args[0]}\\right)"},equal:{2:"\\left(${args[0]}".concat(If.equal,"${args[1]}\\right)")},larger:{2:"\\left(${args[0]}".concat(If.larger,"${args[1]}\\right)")},largerEq:{2:"\\left(${args[0]}".concat(If.largerEq,"${args[1]}\\right)")},smaller:{2:"\\left(${args[0]}".concat(If.smaller,"${args[1]}\\right)")},smallerEq:{2:"\\left(${args[0]}".concat(If.smallerEq,"${args[1]}\\right)")},unequal:{2:"\\left(${args[0]}".concat(If.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(${args[0]}".concat(If.to,"${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(${args[0]}\\right)+".concat(kf.i,"\\cdot\\left(${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)"}},zf={deg:"^\\circ"};function qf(e){return _f(e,{preserveFormatting:!0})}function jf(e,t){return(t=void 0!==t&&t)?we(zf,e)?zf[e]:"\\mathrm{"+qf(e)+"}":we(kf,e)?kf[e]:qf(e)}var Pf="ConstantNode",Lf=De(Pf,["Node"],(function(e){var t=function(e){lf(i,e);var t,r,n=(t=i,r=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,n=mf(t);if(r){var i=mf(this).constructor;e=Reflect.construct(n,arguments,i)}else e=n.apply(this,arguments);return pf(this,e)});function i(e){var t;return Se(this,i),(t=n.call(this)).value=e,t}return Me(i,[{key:"type",get:function(){return Pf}},{key:"isConstantNode",get:function(){return!0}},{key:"_compile",value:function(e,t){var r=this.value;return function(){return r}}},{key:"forEach",value:function(e){}},{key:"map",value:function(e){return this.clone()}},{key:"clone",value:function(){return new i(this.value)}},{key:"_toString",value:function(e){return ut(this.value,e)}},{key:"toHTML",value:function(e){var t=this._toString(e);switch($(this.value)){case"number":case"BigNumber":case"Fraction":return'<span class="math-number">'+t+"</span>";case"string":return'<span class="math-string">'+t+"</span>";case"boolean":return'<span class="math-boolean">'+t+"</span>";case"null":return'<span class="math-null-symbol">'+t+"</span>";case"undefined":return'<span class="math-undefined">'+t+"</span>";default:return'<span class="math-symbol">'+t+"</span>"}}},{key:"toJSON",value:function(){return{mathjs:Pf,value:this.value}}},{key:"_toTex",value:function(e){var t=this._toString(e);switch($(this.value)){case"string":return"\\mathtt{"+qf(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}}}],[{key:"fromJSON",value:function(e){return new i(e.value)}}]),i}(e.Node);return ps(t,"name",Pf),t}),{isClass:!0,isNode:!0});var Uf="FunctionAssignmentNode",$f=De(Uf,["typed","Node"],(function(e){var t=e.typed;function r(e,t,r){var n=Df(e,t,r),i=Df(e.expr,t,r);return"all"===t||null!==i&&i<=n}var n=function(e){lf(o,e);var n,i,a=(n=o,i=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,t=mf(n);if(i){var r=mf(this).constructor;e=Reflect.construct(t,arguments,r)}else e=t.apply(this,arguments);return pf(this,e)});function o(e,t,r){var n;if(Se(this,o),n=a.call(this),"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(!R(r))throw new TypeError('Node expected for parameter "expr"');if(sf.has(e))throw new Error('Illegal function name, "'+e+'" is a reserved keyword');return n.name=e,n.params=t.map((function(e){return e&&e.name||e})),n.types=t.map((function(e){return e&&e.type||"any"})),n.expr=r,n}return Me(o,[{key:"type",get:function(){return Uf}},{key:"isFunctionAssignmentNode",get:function(){return!0}},{key:"_compile",value:function(e,r){var n=Object.create(r);Ft(this.params,(function(e){n[e]=!0}));var i=this.expr._compile(e,n),a=this.name,o=this.params,u=Bt(this.types,","),s=a+"("+Bt(this.params,", ")+")";return function(e,r,n){var c={};c[u]=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=s,e.set(a,f),f}}},{key:"forEach",value:function(e){e(this.expr,"expr",this)}},{key:"map",value:function(e){var t=this._ifNode(e(this.expr,"expr",this));return new o(this.name,this.params.slice(0),t)}},{key:"clone",value:function(){return new o(this.name,this.params.slice(0),this.expr)}},{key:"_toString",value:function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",n=this.expr.toString(e);return r(this,t,e&&e.implicit)&&(n="("+n+")"),this.name+"("+this.params.join(", ")+") = "+n}},{key:"toJSON",value:function(){var e=this.types;return{mathjs:Uf,name:this.name,params:this.params.map((function(t,r){return{name:t,type:e[r]}})),expr:this.expr}}},{key:"toHTML",value:function(e){for(var t=e&&e.parenthesis?e.parenthesis:"keep",n=[],i=0;i<this.params.length;i++)n.push('<span class="math-symbol math-parameter">'+ct(this.params[i])+"</span>");var a=this.expr.toHTML(e);return r(this,t,e&&e.implicit)&&(a='<span class="math-parenthesis math-round-parenthesis">(</span>'+a+'<span class="math-parenthesis math-round-parenthesis">)</span>'),'<span class="math-function">'+ct(this.name)+'</span><span class="math-parenthesis math-round-parenthesis">(</span>'+n.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}},{key:"_toTex",value:function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",n=this.expr.toTex(e);return r(this,t,e&&e.implicit)&&(n="\\left(".concat(n,"\\right)")),"\\mathrm{"+this.name+"}\\left("+this.params.map(jf).join(",")+"\\right):="+n}}],[{key:"fromJSON",value:function(e){return new o(e.name,e.params,e.expr)}}]),o}(e.Node);return ps(n,"name",Uf),n}),{isClass:!0,isNode:!0});var Hf="IndexNode",Gf=De(Hf,["Node","size"],(function(e){var t=e.Node,r=e.size,n=function(e){lf(a,e);var t,n,i=(t=a,n=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,r=mf(t);if(n){var i=mf(this).constructor;e=Reflect.construct(r,arguments,i)}else e=r.apply(this,arguments);return pf(this,e)});function a(e,t){var r;if(Se(this,a),(r=i.call(this)).dimensions=e,r.dotNotation=t||!1,!Array.isArray(e)||!e.every(R))throw new TypeError('Array containing Nodes expected for parameter "dimensions"');if(r.dotNotation&&!r.isObjectProperty())throw new Error("dotNotation only applicable for object properties");return r}return Me(a,[{key:"type",get:function(){return Hf}},{key:"isIndexNode",get:function(){return!0}},{key:"_compile",value:function(e,t){var n=Mt(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(!l(n)&&!f(n)&&!c(n))throw new TypeError('Cannot resolve "end": context must be a Matrix, Array, or string but is '+$(n));var a=r(n).valueOf(),u=Object.create(t);return u.end=a[i],o(e,u,n)}}return n._compile(e,t)})),i=Fe(e,"index");return function(e,t,r){var a=Mt(n,(function(n){return n(e,t,r)}));return i.apply(void 0,yo(a))}}},{key:"forEach",value:function(e){for(var t=0;t<this.dimensions.length;t++)e(this.dimensions[t],"dimensions["+t+"]",this)}},{key:"map",value: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 a(t,this.dotNotation)}},{key:"clone",value:function(){return new a(this.dimensions.slice(0),this.dotNotation)}},{key:"isObjectProperty",value:function(){return 1===this.dimensions.length&&T(this.dimensions[0])&&"string"==typeof this.dimensions[0].value}},{key:"getObjectProperty",value:function(){return this.isObjectProperty()?this.dimensions[0].value:null}},{key:"_toString",value:function(e){return this.dotNotation?"."+this.getObjectProperty():"["+this.dimensions.join(", ")+"]"}},{key:"toJSON",value:function(){return{mathjs:Hf,dimensions:this.dimensions,dotNotation:this.dotNotation}}},{key:"toHTML",value: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">'+ct(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>'}},{key:"_toTex",value:function(e){var t=this.dimensions.map((function(t){return t.toTex(e)}));return this.dotNotation?"."+this.getObjectProperty():"_{"+t.join(",")+"}"}}],[{key:"fromJSON",value:function(e){return new a(e.dimensions,e.dotNotation)}}]),a}(t);return ps(n,"name",Hf),n}),{isClass:!0,isNode:!0});var Vf="ObjectNode",Zf=De(Vf,["Node"],(function(e){var r=function(e){lf(a,e);var r,n,i=(r=a,n=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,t=mf(r);if(n){var i=mf(this).constructor;e=Reflect.construct(t,arguments,i)}else e=t.apply(this,arguments);return pf(this,e)});function a(e){var r;if(Se(this,a),(r=i.call(this)).properties=e||{},e&&("object"!==t(e)||!Object.keys(e).every((function(t){return R(e[t])}))))throw new TypeError("Object containing Nodes expected");return r}return Me(a,[{key:"type",get:function(){return Vf}},{key:"isObjectNode",get:function(){return!0}},{key:"_compile",value:function(e,t){var r={};for(var n in this.properties)if(we(this.properties,n)){var i=st(n),a=JSON.parse(i);if(!Te(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)we(r,a)&&(i[a]=r[a](e,t,n));return i}}},{key:"forEach",value:function(e){for(var t in this.properties)we(this.properties,t)&&e(this.properties[t],"properties["+st(t)+"]",this)}},{key:"map",value:function(e){var t={};for(var r in this.properties)we(this.properties,r)&&(t[r]=this._ifNode(e(this.properties[r],"properties["+st(r)+"]",this)));return new a(t)}},{key:"clone",value:function(){var e={};for(var t in this.properties)we(this.properties,t)&&(e[t]=this.properties[t]);return new a(e)}},{key:"_toString",value:function(e){var t=[];for(var r in this.properties)we(this.properties,r)&&t.push(st(r)+": "+this.properties[r].toString(e));return"{"+t.join(", ")+"}"}},{key:"toJSON",value:function(){return{mathjs:Vf,properties:this.properties}}},{key:"toHTML",value:function(e){var t=[];for(var r in this.properties)we(this.properties,r)&&t.push('<span class="math-symbol math-property">'+ct(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>'}},{key:"_toTex",value:function(e){var t=[];for(var r in this.properties)we(this.properties,r)&&t.push("\\mathbf{"+r+":} & "+this.properties[r].toTex(e)+"\\\\");return"\\left\\{\\begin{array}{ll}"+t.join("\n")+"\\end{array}\\right\\}"}}],[{key:"fromJSON",value:function(e){return new a(e.properties)}}]),a}(e.Node);return ps(r,"name",Vf),r}),{isClass:!0,isNode:!0});var Wf="OperatorNode",Jf=De(Wf,["Node"],(function(e){function t(e,r){var n=e;if("auto"===r)for(;j(n);)n=n.content;return!!T(n)||!!q(n)&&t(n.args[0],r)}function r(e,r,n,i,a){var o,u=Df(e,r,n),s=Ef(e,r);if("all"===r||i.length>2&&"OperatorNode:add"!==e.getIdentifier()&&"OperatorNode:multiply"!==e.getIdentifier())return i.map((function(e){switch(e.getContent().type){case"ArrayNode":case"ConstantNode":case"SymbolNode":case"ParenthesisNode":return!1;default:return!0}}));switch(i.length){case 0:o=[];break;case 1:var c=Df(i[0],r,n,e);if(a&&null!==c){var f,l;if("keep"===r?(f=i[0].getIdentifier(),l=e.getIdentifier()):(f=i[0].getContent().getIdentifier(),l=e.getContent().getIdentifier()),!1===wf[u][l].latexLeftParens){o=[!1];break}if(!1===wf[c][f].latexParens){o=[!1];break}}if(null===c){o=[!1];break}if(c<=u){o=[!0];break}o=[!1];break;case 2:var p,m,h=Df(i[0],r,n,e),d=Af(e,i[0],r);p=null!==h&&(h===u&&"right"===s&&!d||h<u);var v,g,y,x=Df(i[1],r,n,e),b=Af(e,i[1],r);m=null!==x&&(x===u&&"left"===s&&!b||x<u),a&&("keep"===r?(v=e.getIdentifier(),g=e.args[0].getIdentifier(),y=e.args[1].getIdentifier()):(v=e.getContent().getIdentifier(),g=e.args[0].getContent().getIdentifier(),y=e.args[1].getContent().getIdentifier()),null!==h&&(!1===wf[u][v].latexLeftParens&&(p=!1),!1===wf[h][g].latexParens&&(p=!1)),null!==x&&(!1===wf[u][v].latexRightParens&&(m=!1),!1===wf[x][y].latexParens&&(m=!1))),o=[p,m];break;default:"OperatorNode:add"!==e.getIdentifier()&&"OperatorNode:multiply"!==e.getIdentifier()||(o=i.map((function(t){var i=Df(t,r,n,e),a=Af(e,t,r),o=Ef(t,r);return null!==i&&(u===i&&s===o&&!a||i<u)})))}if(i.length>=2&&"OperatorNode:multiply"===e.getIdentifier()&&e.implicit&&"all"!==r&&"hide"===n)for(var w=1;w<o.length;++w)!t(i[w],r)||o[w-1]||"keep"===r&&j(i[w-1])||(o[w]=!0);return o}var n=function(e){lf(a,e);var t,n,i=(t=a,n=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,r=mf(t);if(n){var i=mf(this).constructor;e=Reflect.construct(r,arguments,i)}else e=r.apply(this,arguments);return pf(this,e)});function a(e,t,r,n,o){var u;if(Se(this,a),u=i.call(this),"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(r)||!r.every(R))throw new TypeError('Array containing Nodes expected for parameter "args"');return u.implicit=!0===n,u.isPercentage=!0===o,u.op=e,u.fn=t,u.args=r||[],u}return Me(a,[{key:"type",get:function(){return Wf}},{key:"isOperatorNode",get:function(){return!0}},{key:"_compile",value:function(e,t){if("string"!=typeof this.fn||!Be(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=Fe(e,this.fn),n=Mt(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,Mt(n,(function(r){return r(e,t,i)})))}}},{key:"forEach",value:function(e){for(var t=0;t<this.args.length;t++)e(this.args[t],"args["+t+"]",this)}},{key:"map",value:function(e){for(var t=[],r=0;r<this.args.length;r++)t[r]=this._ifNode(e(this.args[r],"args["+r+"]",this));return new a(this.op,this.fn,t,this.implicit,this.isPercentage)}},{key:"clone",value:function(){return new a(this.op,this.fn,this.args.slice(0),this.implicit,this.isPercentage)}},{key:"isUnary",value:function(){return 1===this.args.length}},{key:"isBinary",value:function(){return 2===this.args.length}},{key:"_toString",value:function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",n=e&&e.implicit?e.implicit:"hide",i=this.args,a=r(this,t,n,i,!1);if(1===i.length){var o=Ef(this,t),u=i[0].toString(e);a[0]&&(u="("+u+")");var s=/[a-zA-Z]+/.test(this.op);return"right"===o?this.op+(s?" ":"")+u:"left"===o?u+(s?" ":"")+this.op:u+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"===n?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"===n?l.join(" "):l.join(" "+this.op+" ")}return this.fn+"("+this.args.join(", ")+")"}},{key:"toJSON",value:function(){return{mathjs:Wf,op:this.op,fn:this.fn,args:this.args,implicit:this.implicit,isPercentage:this.isPercentage}}},{key:"toHTML",value:function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",n=e&&e.implicit?e.implicit:"hide",i=this.args,a=r(this,t,n,i,!1);if(1===i.length){var o=Ef(this,t),u=i[0].toHTML(e);return a[0]&&(u='<span class="math-parenthesis math-round-parenthesis">(</span>'+u+'<span class="math-parenthesis math-round-parenthesis">)</span>'),"right"===o?'<span class="math-operator math-unary-operator math-lefthand-unary-operator">'+ct(this.op)+"</span>"+u:u+'<span class="math-operator math-unary-operator math-righthand-unary-operator">'+ct(this.op)+"</span>"}if(2===i.length){var s=i[0].toHTML(e),c=i[1].toHTML(e);return a[0]&&(s='<span class="math-parenthesis math-round-parenthesis">(</span>'+s+'<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"===n?s+'<span class="math-operator math-binary-operator math-implicit-binary-operator"></span>'+c:s+'<span class="math-operator math-binary-operator math-explicit-binary-operator">'+ct(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"===n?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">'+ct(this.op)+"</span>"):'<span class="math-function">'+ct(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>'}},{key:"_toTex",value:function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",n=e&&e.implicit?e.implicit:"hide",i=this.args,a=r(this,t,n,i,!0),o=If[this.fn];if(o=void 0===o?this.op:o,1===i.length){var u=Ef(this,t),s=i[0].toTex(e);return a[0]&&(s="\\left(".concat(s,"\\right)")),"right"===u?o+s:s+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"===n)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&&"hide"===n?m.join("~"):m.join(o)}return"\\mathrm{"+this.fn+"}\\left("+i.map((function(t){return t.toTex(e)})).join(",")+"\\right)"}},{key:"getIdentifier",value:function(){return this.type+":"+this.fn}}],[{key:"fromJSON",value:function(e){return new a(e.op,e.fn,e.args,e.implicit,e.isPercentage)}}]),a}(e.Node);return ps(n,"name",Wf),n}),{isClass:!0,isNode:!0});var Yf="ParenthesisNode",Xf=De(Yf,["Node"],(function(e){var t=function(e){lf(i,e);var t,r,n=(t=i,r=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,n=mf(t);if(r){var i=mf(this).constructor;e=Reflect.construct(n,arguments,i)}else e=n.apply(this,arguments);return pf(this,e)});function i(e){var t;if(Se(this,i),t=n.call(this),!R(e))throw new TypeError('Node expected for parameter "content"');return t.content=e,t}return Me(i,[{key:"type",get:function(){return Yf}},{key:"isParenthesisNode",get:function(){return!0}},{key:"_compile",value:function(e,t){return this.content._compile(e,t)}},{key:"getContent",value:function(){return this.content.getContent()}},{key:"forEach",value:function(e){e(this.content,"content",this)}},{key:"map",value:function(e){return new i(e(this.content,"content",this))}},{key:"clone",value:function(){return new i(this.content)}},{key:"_toString",value:function(e){return!e||e&&!e.parenthesis||e&&"keep"===e.parenthesis?"("+this.content.toString(e)+")":this.content.toString(e)}},{key:"toJSON",value:function(){return{mathjs:Yf,content:this.content}}},{key:"toHTML",value: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)}},{key:"_toTex",value:function(e){return!e||e&&!e.parenthesis||e&&"keep"===e.parenthesis?"\\left(".concat(this.content.toTex(e),"\\right)"):this.content.toTex(e)}}],[{key:"fromJSON",value:function(e){return new i(e.content)}}]),i}(e.Node);return ps(t,"name",Yf),t}),{isClass:!0,isNode:!0});var Qf="RangeNode",Kf=De(Qf,["Node"],(function(e){function t(e,t,r){var n=Df(e,t,r),i={},a=Df(e.start,t,r);if(i.start=null!==a&&a<=n||"all"===t,e.step){var o=Df(e.step,t,r);i.step=null!==o&&o<=n||"all"===t}var u=Df(e.end,t,r);return i.end=null!==u&&u<=n||"all"===t,i}var r=function(e){lf(a,e);var r,n,i=(r=a,n=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,t=mf(r);if(n){var i=mf(this).constructor;e=Reflect.construct(t,arguments,i)}else e=t.apply(this,arguments);return pf(this,e)});function a(e,t,r){var n;if(Se(this,a),n=i.call(this),!R(e))throw new TypeError("Node expected");if(!R(t))throw new TypeError("Node expected");if(r&&!R(r))throw new TypeError("Node expected");if(arguments.length>3)throw new Error("Too many arguments");return n.start=e,n.end=t,n.step=r||null,n}return Me(a,[{key:"type",get:function(){return Qf}},{key:"isRangeNode",get:function(){return!0}},{key:"needsEnd",value:function(){return this.filter((function(e){return L(e)&&"end"===e.name})).length>0}},{key:"_compile",value: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))}}},{key:"forEach",value:function(e){e(this.start,"start",this),e(this.end,"end",this),this.step&&e(this.step,"step",this)}},{key:"map",value:function(e){return new a(this._ifNode(e(this.start,"start",this)),this._ifNode(e(this.end,"end",this)),this.step&&this._ifNode(e(this.step,"step",this)))}},{key:"clone",value:function(){return new a(this.start,this.end,this.step&&this.step)}},{key:"_toString",value:function(e){var r,n=t(this,e&&e.parenthesis?e.parenthesis:"keep",e&&e.implicit),i=this.start.toString(e);if(n.start&&(i="("+i+")"),r=i,this.step){var a=this.step.toString(e);n.step&&(a="("+a+")"),r+=":"+a}var o=this.end.toString(e);return n.end&&(o="("+o+")"),r+":"+o}},{key:"toJSON",value:function(){return{mathjs:Qf,start:this.start,end:this.end,step:this.step}}},{key:"toHTML",value:function(e){var r,n=t(this,e&&e.parenthesis?e.parenthesis:"keep",e&&e.implicit),i=this.start.toHTML(e);if(n.start&&(i='<span class="math-parenthesis math-round-parenthesis">(</span>'+i+'<span class="math-parenthesis math-round-parenthesis">)</span>'),r=i,this.step){var a=this.step.toHTML(e);n.step&&(a='<span class="math-parenthesis math-round-parenthesis">(</span>'+a+'<span class="math-parenthesis math-round-parenthesis">)</span>'),r+='<span class="math-operator math-range-operator">:</span>'+a}var o=this.end.toHTML(e);return n.end&&(o='<span class="math-parenthesis math-round-parenthesis">(</span>'+o+'<span class="math-parenthesis math-round-parenthesis">)</span>'),r+'<span class="math-operator math-range-operator">:</span>'+o}},{key:"_toTex",value:function(e){var r=t(this,e&&e.parenthesis?e.parenthesis:"keep",e&&e.implicit),n=this.start.toTex(e);if(r.start&&(n="\\left(".concat(n,"\\right)")),this.step){var i=this.step.toTex(e);r.step&&(i="\\left(".concat(i,"\\right)")),n+=":"+i}var a=this.end.toTex(e);return r.end&&(a="\\left(".concat(a,"\\right)")),n+":"+a}}],[{key:"fromJSON",value:function(e){return new a(e.start,e.end,e.step)}}]),a}(e.Node);return ps(r,"name",Qf),r}),{isClass:!0,isNode:!0});var el="RelationalNode",tl=De(el,["Node"],(function(e){var t=e.Node,r={equal:"==",unequal:"!=",smaller:"<",larger:">",smallerEq:"<=",largerEq:">="},n=function(e){lf(a,e);var t,n,i=(t=a,n=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,r=mf(t);if(n){var i=mf(this).constructor;e=Reflect.construct(r,arguments,i)}else e=r.apply(this,arguments);return pf(this,e)});function a(e,t){var r;if(Se(this,a),r=i.call(this),!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");return r.conditionals=e,r.params=t,r}return Me(a,[{key:"type",get:function(){return el}},{key:"isRelationalNode",get:function(){return!0}},{key:"_compile",value: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,u=n[0](t,i,a),s=0;s<r.conditionals.length;s++)if(o=u,u=n[s+1](t,i,a),!Fe(e,r.conditionals[s])(o,u))return!1;return!0}}},{key:"forEach",value:function(e){var t=this;this.params.forEach((function(r,n){return e(r,"params["+n+"]",t)}),this)}},{key:"map",value:function(e){var t=this;return new a(this.conditionals.slice(),this.params.map((function(r,n){return t._ifNode(e(r,"params["+n+"]",t))}),this))}},{key:"clone",value:function(){return new a(this.conditionals,this.params)}},{key:"_toString",value:function(e){for(var t=e&&e.parenthesis?e.parenthesis:"keep",n=Df(this,t,e&&e.implicit),i=this.params.map((function(r,i){var a=Df(r,t,e&&e.implicit);return"all"===t||null!==a&&a<=n?"("+r.toString(e)+")":r.toString(e)})),a=i[0],o=0;o<this.conditionals.length;o++)a+=" "+r[this.conditionals[o]],a+=" "+i[o+1];return a}},{key:"toJSON",value:function(){return{mathjs:el,conditionals:this.conditionals,params:this.params}}},{key:"toHTML",value:function(e){for(var t=e&&e.parenthesis?e.parenthesis:"keep",n=Df(this,t,e&&e.implicit),i=this.params.map((function(r,i){var a=Df(r,t,e&&e.implicit);return"all"===t||null!==a&&a<=n?'<span class="math-parenthesis math-round-parenthesis">(</span>'+r.toHTML(e)+'<span class="math-parenthesis math-round-parenthesis">)</span>':r.toHTML(e)})),a=i[0],o=0;o<this.conditionals.length;o++)a+='<span class="math-operator math-binary-operator math-explicit-binary-operator">'+ct(r[this.conditionals[o]])+"</span>"+i[o+1];return a}},{key:"_toTex",value:function(e){for(var t=e&&e.parenthesis?e.parenthesis:"keep",r=Df(this,t,e&&e.implicit),n=this.params.map((function(n,i){var a=Df(n,t,e&&e.implicit);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+=If[this.conditionals[a]]+n[a+1];return i}}],[{key:"fromJSON",value:function(e){return new a(e.conditionals,e.params)}}]),a}(t);return ps(n,"name",el),n}),{isClass:!0,isNode:!0});var rl=De("SymbolNode",["math","?Unit","Node"],(function(e){var t=e.math,r=e.Unit;function n(e){return!!r&&r.isValuelessUnit(e)}var i=function(e){lf(u,e);var i,a,o=(i=u,a=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,t=mf(i);if(a){var r=mf(this).constructor;e=Reflect.construct(t,arguments,r)}else e=t.apply(this,arguments);return pf(this,e)});function u(e){var t;if(Se(this,u),t=o.call(this),"string"!=typeof e)throw new TypeError('String expected for parameter "name"');return t.name=e,t}return Me(u,[{key:"type",get:function(){return"SymbolNode"}},{key:"isSymbolNode",get:function(){return!0}},{key:"_compile",value:function(e,t){var i=this.name;if(!0===t[i])return function(e,t,r){return t[i]};if(i in e)return function(t,r,n){return t.has(i)?t.get(i):Fe(e,i)};var a=n(i);return function(e,t,n){return e.has(i)?e.get(i):a?new r(null,i):u.onUndefinedSymbol(i)}}},{key:"forEach",value:function(e){}},{key:"map",value:function(e){return this.clone()}},{key:"clone",value:function(){return new u(this.name)}},{key:"_toString",value:function(e){return this.name}},{key:"toHTML",value:function(e){var t=ct(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>"}},{key:"toJSON",value:function(){return{mathjs:"SymbolNode",name:this.name}}},{key:"_toTex",value:function(e){var r=!1;void 0===t[this.name]&&n(this.name)&&(r=!0);var i=jf(this.name,r);return"\\"===i[0]?i:" "+i}}],[{key:"onUndefinedSymbol",value:function(e){throw new Error("Undefined symbol "+e)}},{key:"fromJSON",value:function(e){return new u(e.name)}}]),u}(e.Node);return i}),{isClass:!0,isNode:!0});function nl(e,t){for(;!Object.prototype.hasOwnProperty.call(e,t)&&null!==(e=mf(e)););return e}function il(){return il="undefined"!=typeof Reflect&&Reflect.get?Reflect.get.bind():function(e,t,r){var n=nl(e,t);if(n){var i=Object.getOwnPropertyDescriptor(n,t);return i.get?i.get.call(arguments.length<3?e:r):i.value}},il.apply(this,arguments)}function al(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?Ue.apply(void 0,[e.createSubScope()].concat(r)):Ue.apply(void 0,[je(),e].concat(r))}var ol="FunctionNode",ul=De(ol,["math","Node","SymbolNode"],(function(e){var r=e.math,n=e.Node,i=e.SymbolNode,a=function(e){return ut(e,{truncate:78})};function o(e,r,n){for(var i,a="",o=/\$(?:\{([a-z_][a-z_0-9]*)(?:\[([0-9]+)\])?\}|\$)/gi,u=0;null!==(i=o.exec(e));)if(a+=e.substring(u,i.index),u=i.index,"$$"===i[0])a+="$",u++;else{u+=i[0].length;var s=r[i[1]];if(!s)throw new ReferenceError("Template: Property "+i[1]+" does not exist.");if(void 0===i[2])switch(t(s)){case"string":a+=s;break;case"object":if(R(s))a+=s.toTex(n);else{if(!Array.isArray(s))throw new TypeError("Template: "+i[1]+" has to be a Node, String or array of Nodes");a+=s.map((function(e,t){if(R(e))return e.toTex(n);throw new TypeError("Template: "+i[1]+"["+t+"] is not a Node.")})).join(",")}break;default:throw new TypeError("Template: "+i[1]+" has to be a Node, String or array of Nodes")}else{if(!R(s[i[2]]&&s[i[2]]))throw new TypeError("Template: "+i[1]+"["+i[2]+"] is not a Node.");a+=s[i[2]].toTex(n)}}return a+e.slice(u)}var u=function(e){lf(c,e);var n,u,s=(n=c,u=function(){if("undefined"==typeof Reflect||!Reflect.construct)return!1;if(Reflect.construct.sham)return!1;if("function"==typeof Proxy)return!0;try{return Boolean.prototype.valueOf.call(Reflect.construct(Boolean,[],(function(){}))),!0}catch(e){return!1}}(),function(){var e,t=mf(n);if(u){var r=mf(this).constructor;e=Reflect.construct(t,arguments,r)}else e=t.apply(this,arguments);return pf(this,e)});function c(e,t){var r;if(Se(this,c),r=s.call(this),"string"==typeof e&&(e=new i(e)),!R(e))throw new TypeError('Node expected as parameter "fn"');if(!Array.isArray(t)||!t.every(R))throw new TypeError('Array containing Nodes expected for parameter "args"');return r.fn=e,r.args=t||[],r}return Me(c,[{key:"name",get:function(){return this.fn.name||""}},{key:"type",get:function(){return ol}},{key:"isFunctionNode",get:function(){return!0}},{key:"_compile",value:function(e,t){var r=this.args.map((function(r){return r._compile(e,t)}));if(!L(this.fn)){if(S(this.fn)&&I(this.fn.index)&&this.fn.index.isObjectProperty()){var n=this.fn.object._compile(e,t),i=this.fn.index.getObjectProperty(),o=this.args;return function(t,a,u){var s=n(t,a,u);if(function(e,t){if(!Be(e,t))throw new Error('No access to method "'+t+'"')}(s,i),s[i]&&s[i].rawArgs)return s[i](o,e,al(t,a),t);var c=r.map((function(e){return e(t,a,u)}));return s[i].apply(s,c)}}var u=this.fn.toString(),s=this.fn._compile(e,t),f=this.args;return function(t,n,i){var o=s(t,n,i);if("function"!=typeof o)throw new TypeError("Expression '".concat(u,"' did not evaluate to a function; value is:")+"\n  ".concat(a(o)));if(o.rawArgs)return o(f,e,al(t,n),t);var c=r.map((function(e){return e(t,n,i)}));return o.apply(o,c)}}var l=this.fn.name;if(t[l]){var p=this.args;return function(t,n,i){var o=n[l];if("function"!=typeof o)throw new TypeError("Argument '".concat(l,"' was not a function; received: ").concat(a(o)));if(o.rawArgs)return o(p,e,al(t,n),t);var u=r.map((function(e){return e(t,n,i)}));return o.apply(o,u)}}var m=l in e?Fe(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 c.onUndefinedFunction(l);r=Fe(e,l)}if("function"==typeof r)return r;throw new TypeError("'".concat(l,"' is not a function; its value is:\n  ").concat(a(r)))};if(h){var v=this.args;return function(t,r,n){return d(t)(v,e,al(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,yo(a))}}}},{key:"forEach",value:function(e){e(this.fn,"fn",this);for(var t=0;t<this.args.length;t++)e(this.args[t],"args["+t+"]",this)}},{key:"map",value: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 c(t,r)}},{key:"clone",value:function(){return new c(this.fn,this.args.slice(0))}},{key:"toString",value:function(e){var r,n=this.fn.toString(e);return e&&"object"===t(e.handler)&&we(e.handler,n)&&(r=e.handler[n](this,e)),void 0!==r?r:il(mf(c.prototype),"toString",this).call(this,e)}},{key:"_toString",value:function(e){var t=this.args.map((function(t){return t.toString(e)}));return(_(this.fn)?"("+this.fn.toString(e)+")":this.fn.toString(e))+"("+t.join(", ")+")"}},{key:"toJSON",value:function(){return{mathjs:ol,fn:this.fn,args:this.args}}},{key:"toHTML",value:function(e){var t=this.args.map((function(t){return t.toHTML(e)}));return'<span class="math-function">'+ct(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>'}},{key:"toTex",value:function(e){var r;return e&&"object"===t(e.handler)&&we(e.handler,this.name)&&(r=e.handler[this.name](this,e)),void 0!==r?r:il(mf(c.prototype),"toTex",this).call(this,e)}},{key:"_toTex",value:function(e){var n,i,a=this.args.map((function(t){return t.toTex(e)}));switch(Rf[this.name]&&(n=Rf[this.name]),!r[this.name]||"function"!=typeof r[this.name].toTex&&"object"!==t(r[this.name].toTex)&&"string"!=typeof r[this.name].toTex||(n=r[this.name].toTex),t(n)){case"function":i=n(this,e);break;case"string":i=o(n,this,e);break;case"object":switch(t(n[a.length])){case"function":i=n[a.length](this,e);break;case"string":i=o(n[a.length],this,e)}}return void 0!==i?i:o("\\mathrm{${name}}\\left(${args}\\right)",this,e)}},{key:"getIdentifier",value:function(){return this.type+":"+this.name}}]),c}(n);return ps(u,"name",ol),ps(u,"onUndefinedFunction",(function(e){throw new Error("Undefined function "+e)})),ps(u,"fromJSON",(function(e){return new u(e.fn,e.args)})),u}),{isClass:!0,isNode:!0}),sl="parse",cl=De(sl,["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,u=e.BlockNode,s=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,g=e.RelationalNode,y=e.SymbolNode,x=t(sl,{string:function(e){return j(e,{})},"Array | Matrix":function(e){return b(e,{})},"string, Object":function(e,t){return j(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 Zt(e,(function(e){if("string"!=typeof e)throw new TypeError("String expected");return j(e,r)}))}var w={",":!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},N={mod:!0,to:!0,in:!0,and:!0,xor:!0,or:!0,not:!0},D={true:!0,false:!1,null:null,undefined:void 0},E=["NaN","Infinity"];function A(e,t){return e.expression.substr(e.index,t)}function C(e){return A(e,1)}function M(e){e.index++}function F(e){return e.expression.charAt(e.index-1)}function O(e){return e.expression.charAt(e.index+1)}function _(e){for(e.tokenType=0,e.token="",e.comment="";;){if("#"===C(e))for(;"\n"!==C(e)&&""!==C(e);)e.comment+=C(e),M(e);if(!x.isWhitespace(C(e),e.nestingLevel))break;M(e)}if(""!==C(e)){if("\n"===C(e)&&!e.nestingLevel)return e.tokenType=1,e.token=C(e),void M(e);var t=C(e),r=A(e,2),n=A(e,3);if(3===n.length&&w[n])return e.tokenType=1,e.token=n,M(e),M(e),void M(e);if(2===r.length&&w[r])return e.tokenType=1,e.token=r,M(e),void M(e);if(w[t])return e.tokenType=1,e.token=t,void M(e);if(x.isDigitDot(t)){e.tokenType=2;var i=A(e,2);if("0b"===i||"0o"===i||"0x"===i){for(e.token+=C(e),M(e),e.token+=C(e),M(e);x.isHexDigit(C(e));)e.token+=C(e),M(e);if("."===C(e))for(e.token+=".",M(e);x.isHexDigit(C(e));)e.token+=C(e),M(e);else if("i"===C(e))for(e.token+="i",M(e);x.isDigit(C(e));)e.token+=C(e),M(e);return}if("."===C(e)){if(e.token+=C(e),M(e),!x.isDigit(C(e)))return void(e.tokenType=1)}else{for(;x.isDigit(C(e));)e.token+=C(e),M(e);x.isDecimalMark(C(e),O(e))&&(e.token+=C(e),M(e))}for(;x.isDigit(C(e));)e.token+=C(e),M(e);if("E"===C(e)||"e"===C(e))if(x.isDigit(O(e))||"-"===O(e)||"+"===O(e)){if(e.token+=C(e),M(e),"+"!==C(e)&&"-"!==C(e)||(e.token+=C(e),M(e)),!x.isDigit(C(e)))throw se(e,'Digit expected, got "'+C(e)+'"');for(;x.isDigit(C(e));)e.token+=C(e),M(e);if(x.isDecimalMark(C(e),O(e)))throw se(e,'Digit expected, got "'+C(e)+'"')}else if("."===O(e))throw M(e),se(e,'Digit expected, got "'+C(e)+'"')}else{if(!x.isAlpha(C(e),F(e),O(e))){for(e.tokenType=4;""!==C(e);)e.token+=C(e),M(e);throw se(e,'Syntax error in part "'+e.token+'"')}for(;x.isAlpha(C(e),F(e),O(e))||x.isDigit(C(e));)e.token+=C(e),M(e);we(N,e.token)?e.tokenType=1:e.tokenType=3}}else e.tokenType=1}function I(e){do{_(e)}while("\n"===e.token)}function R(e){e.nestingLevel++}function z(e){e.nestingLevel--}function j(e,t){var r={extraNodes:{},expression:"",comment:"",index:0,token:"",tokenType:0,nestingLevel:0,conditionalLevel:null};ls(r,{expression:e,extraNodes:t}),_(r);var n=function(e){var t,r,n=[];for(""!==e.token&&"\n"!==e.token&&";"!==e.token&&(t=P(e),e.comment&&(t.comment=e.comment));"\n"===e.token||";"===e.token;)0===n.length&&t&&(r=";"!==e.token,n.push({node:t,visible:r})),_(e),"\n"!==e.token&&";"!==e.token&&""!==e.token&&(t=P(e),e.comment&&(t.comment=e.comment),r=";"!==e.token,n.push({node:t,visible:r}));return n.length>0?new u(n):(t||(t=new c(void 0),e.comment&&(t.comment=e.comment)),t)}(r);if(""!==r.token)throw 1===r.tokenType?ce(r,"Unexpected operator "+r.token):se(r,'Unexpected part "'+r.token+'"');return n}function P(e){var t,r,n,i,a=function(e){for(var t=function(e){for(var t=U(e);"or"===e.token;)I(e),t=new h("or","or",[t,U(e)]);return t}(e);"?"===e.token;){var r=e.conditionalLevel;e.conditionalLevel=e.nestingLevel,I(e);var n=t,i=P(e);if(":"!==e.token)throw se(e,"False part of conditional expression expected");e.conditionalLevel=null,I(e);var a=P(e);t=new s(n,i,a),e.conditionalLevel=r}return t}(e);if("="===e.token){if(L(a))return t=a.name,I(e),n=P(e),new o(new y(t),n);if(S(a))return I(e),n=P(e),new o(a.object,a.index,n);if(k(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 I(e),n=P(e),new f(t,r,n);throw se(e,"Invalid left hand side of assignment operator =")}return a}function U(e){for(var t=$(e);"xor"===e.token;)I(e),t=new h("xor","xor",[t,$(e)]);return t}function $(e){for(var t=H(e);"and"===e.token;)I(e),t=new h("and","and",[t,H(e)]);return t}function H(e){for(var t=G(e);"|"===e.token;)I(e),t=new h("|","bitOr",[t,G(e)]);return t}function G(e){for(var t=V(e);"^|"===e.token;)I(e),t=new h("^|","bitXor",[t,V(e)]);return t}function V(e){for(var t=Z(e);"&"===e.token;)I(e),t=new h("&","bitAnd",[t,Z(e)]);return t}function Z(e){for(var t=[W(e)],r=[],n={"==":"equal","!=":"unequal","<":"smaller",">":"larger","<=":"smallerEq",">=":"largerEq"};we(n,e.token);){var i={name:e.token,fn:n[e.token]};r.push(i),I(e),t.push(W(e))}return 1===t.length?t[0]:2===t.length?new h(r[0].name,r[0].fn,t):new g(r.map((function(e){return e.fn})),t)}function W(e){var t,r,n,i;t=J(e);for(var a={"<<":"leftShift",">>":"rightArithShift",">>>":"rightLogShift"};we(a,e.token);)n=a[r=e.token],I(e),i=[t,J(e)],t=new h(r,n,i);return t}function J(e){var t,r,n,i;t=Y(e);for(var a={to:"to",in:"to"};we(a,e.token);)n=a[r=e.token],I(e),"in"===r&&""===e.token?t=new h("*","multiply",[t,new y("in")],!0):(i=[t,Y(e)],t=new h(r,n,i));return t}function Y(e){var t,r=[];if(t=":"===e.token?new c(1):X(e),":"===e.token&&e.conditionalLevel!==e.nestingLevel){for(r.push(t);":"===e.token&&r.length<3;)I(e),")"===e.token||"]"===e.token||","===e.token||""===e.token?r.push(new y("end")):r.push(X(e));t=3===r.length?new v(r[0],r[2],r[1]):new v(r[0],r[1])}return t}function X(e){var t,r,n,i;t=Q(e);for(var a={"+":"add","-":"subtract"};we(a,e.token);){n=a[r=e.token],I(e);var o=Q(e);i=o.isPercentage?[t,new h("*","multiply",[t,o])]:[t,o],t=new h(r,n,i)}return t}function Q(e){var t,r,n,i;r=t=K(e);for(var a={"*":"multiply",".*":"dotMultiply","/":"divide","./":"dotDivide"};we(a,e.token);)i=a[n=e.token],I(e),r=K(e),t=new h(n,i,[t,r]);return t}function K(e){var t,r;for(r=t=ee(e);3===e.tokenType||"in"===e.token&&T(t)||!(2!==e.tokenType||T(r)||q(r)&&"!"!==r.op)||"("===e.token;)r=ee(e),t=new h("*","multiply",[t,r],!0);return t}function ee(e){for(var t=te(e),r=t,n=[];"/"===e.token&&B(r);){if(n.push(ls({},e)),I(e),2!==e.tokenType){ls(e,n.pop());break}if(n.push(ls({},e)),I(e),3!==e.tokenType&&"("!==e.token){n.pop(),ls(e,n.pop());break}ls(e,n.pop()),n.pop(),r=te(e),t=new h("/","divide",[t,r])}return t}function te(e){var t,r,n,i;t=re(e);for(var a={"%":"mod",mod:"mod"};we(a,e.token);)n=a[r=e.token],I(e),"%"===r&&1===e.tokenType&&"("!==e.token?t=new h("/","divide",[t,new c(100)],!1,!0):(i=[t,re(e)],t=new h(r,n,i));return t}function re(e){var t,i,o,u={"-":"unaryMinus","+":"unaryPlus","~":"bitNot",not:"not"};return we(u,e.token)?(o=u[e.token],t=e.token,I(e),i=[re(e)],new h(t,o,i)):function(e){var t,i,o,u;return t=function(e){var t,i,o;t=function(e){var t=[];if(3===e.tokenType&&we(e.extraNodes,e.token)){var i=e.extraNodes[e.token];if(_(e),"("===e.token){if(t=[],R(e),_(e),")"!==e.token)for(t.push(P(e));","===e.token;)_(e),t.push(P(e));if(")"!==e.token)throw se(e,"Parenthesis ) expected");z(e),_(e)}return new i(t)}return function(e){var t;return 3===e.tokenType||1===e.tokenType&&e.token in N?(t=e.token,_(e),ne(e,we(D,t)?new c(D[t]):-1!==E.indexOf(t)?new c(r(t,"number")):new y(t))):function(e){var t;return'"'===e.token?(t=ie(e),ne(e,new c(t))):function(e){var t;return"'"===e.token?(t=ae(e),ne(e,new c(t))):function(e){var t,i,o,u;if("["===e.token){if(R(e),_(e),"]"!==e.token){var s=oe(e);if(";"===e.token){for(o=1,i=[s];";"===e.token;)_(e),i[o]=oe(e),o++;if("]"!==e.token)throw se(e,"End of matrix ] expected");z(e),_(e),u=i[0].items.length;for(var f=1;f<o;f++)if(i[f].items.length!==u)throw ce(e,"Column dimensions mismatch ("+i[f].items.length+" !== "+u+")");t=new a(i)}else{if("]"!==e.token)throw se(e,"End of matrix ] expected");z(e),_(e),t=s}}else z(e),_(e),t=new a([]);return ne(e,t)}return function(e){if("{"===e.token){var t;R(e);var i={};do{if(_(e),"}"!==e.token){if('"'===e.token)t=ie(e);else if("'"===e.token)t=ae(e);else{if(!(3===e.tokenType||1===e.tokenType&&e.token in N))throw se(e,"Symbol or string expected as object key");t=e.token,_(e)}if(":"!==e.token)throw se(e,"Colon : expected after object key");_(e),i[t]=P(e)}}while(","===e.token);if("}"!==e.token)throw se(e,"Comma , or bracket } expected after object value");z(e),_(e);var a=new m(i);return ne(e,a)}return function(e){var t;return 2===e.tokenType?(t=e.token,_(e),new c(r(t,n.number))):function(e){var t;if("("===e.token){if(R(e),_(e),t=P(e),")"!==e.token)throw se(e,"Parenthesis ) expected");return z(e),_(e),ne(e,t=new d(t))}return function(e){throw""===e.token?se(e,"Unexpected end of expression"):se(e,"Value expected")}(e)}(e)}(e)}(e)}(e)}(e)}(e)}(e)}(e);for(var u={"!":"factorial","'":"ctranspose"};we(u,e.token);)o=u[i=e.token],_(e),t=ne(e,t=new h(i,o,[t]));return t}(e),("^"===e.token||".^"===e.token)&&(o="^"===(i=e.token)?"pow":"dotPow",I(e),u=[t,re(e)],t=new h(i,o,u)),t}(e)}function ne(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)&&!S(t))return t;if(R(e),_(e),")"!==e.token)for(n.push(P(e));","===e.token;)_(e),n.push(P(e));if(")"!==e.token)throw se(e,"Parenthesis ) expected");z(e),_(e),t=new l(t,n)}else if("["===e.token){if(R(e),_(e),"]"!==e.token)for(n.push(P(e));","===e.token;)_(e),n.push(P(e));if("]"!==e.token)throw se(e,"Parenthesis ] expected");z(e),_(e),t=new i(t,new p(n))}else{if(_(e),3!==e.tokenType)throw se(e,"Property name expected after dot");n.push(new c(e.token)),_(e),t=new i(t,new p(n,!0))}return t}function ie(e){for(var t="";""!==C(e)&&'"'!==C(e);)"\\"===C(e)&&(t+=C(e),M(e)),t+=C(e),M(e);if(_(e),'"'!==e.token)throw se(e,'End of string " expected');return _(e),JSON.parse('"'+t+'"')}function ae(e){for(var t="";""!==C(e)&&"'"!==C(e);)"\\"===C(e)&&(t+=C(e),M(e)),t+=C(e),M(e);if(_(e),"'"!==e.token)throw se(e,"End of string ' expected");return _(e),JSON.parse('"'+t+'"')}function oe(e){for(var t=[P(e)],r=1;","===e.token;)_(e),t[r]=P(e),r++;return new a(t)}function ue(e){return e.index-e.token.length+1}function se(e,t){var r=ue(e),n=new SyntaxError(t+" (char "+r+")");return n.char=r,n}function ce(e,t){var r=ue(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"},t.addConversion({from:"string",to:"Node",convert:x}),x})),fl="compile",ll=De(fl,["typed","parse"],(function(e){var t=e.typed,r=e.parse;return t(fl,{string:function(e){return r(e).compile()},"Array | Matrix":function(e){return Zt(e,(function(e){return r(e).compile()}))}})})),pl="evaluate",ml=De(pl,["typed","parse"],(function(e){var t=e.typed,r=e.parse;return t(pl,{string:function(e){var t=je();return r(e).compile().evaluate(t)},"string, Map | Object":function(e,t){return r(e).compile().evaluate(t)},"Array | Matrix":function(e){var t=je();return Zt(e,(function(e){return r(e).compile().evaluate(t)}))},"Array | Matrix, Map | Object":function(e,t){return Zt(e,(function(e){return r(e).compile().evaluate(t)}))}})})),hl=De("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:je(),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 qe)return e.wrappedObject;var t,r={},n=Re(e.keys());try{for(n.s();!(t=n.n()).done;){var i=t.value;Oe(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}),dl="parser",vl=De(dl,["typed","Parser"],(function(e){var t=e.typed,r=e.Parser;return t(dl,{"":function(){return new r}})})),gl=De("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,u=e.subtract,s=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 function(e){var t,r,i,u=e._size[0],l=e._size[1],h=Math.min(u,l),d=e._values,v=e._index,g=e._ptr,y=[],x=[],b=[],w=[u,h],N=[],D=[],E=[],A=[h,l],S=[],C=[];for(t=0;t<u;t++)S[t]=t,C[t]=t;var M=function(){var e=new m;r<u&&(b.push(y.length),y.push(1),x.push(r)),E.push(N.length);var l=g[r],h=g[r+1];for(i=l;i<h;i++)t=v[i],e.set(S[t],d[i]);r>0&&e.forEach(0,r-1,(function(t,r){p._forEachRow(t,y,x,b,(function(n,i){n>t&&e.accumulate(n,f(o(i,r)))}))}));var M,F,O,T,B=r,_=e.get(r),k=n(_);e.forEach(r+1,u-1,(function(e,t){var r=n(t);s(r,k)&&(B=e,k=r,_=t)})),r!==B&&(p._swapRows(r,B,w[1],y,x,b),p._swapRows(r,B,A[1],N,D,E),e.swap(r,B),F=B,O=C[M=r],T=C[F],S[O]=F,S[T]=M,C[M]=T,C[F]=O),e.forEach(0,u-1,(function(e,t){e<=r?(N.push(t),D.push(e)):(t=a(t,_),c(t,0)||(y.push(t),x.push(e)))}))};for(r=0;r<l;r++)M();return E.push(N.length),b.push(y.length),{L:new p({values:y,index:x,ptr:b,size:w}),U:new p({values:N,index:D,ptr:E,size:A}),p:S,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}}(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=me(e._data),v=[],g=[p,h],y=[],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]=u(d[t][r],N)}var D=r,E=0,A=0;for(t=r;t<p;t++){var S=d[t][r],C=n(S);s(C,E)&&(D=t,E=C,A=S)}if(r!==D&&(b[r]=[b[D],b[D]=b[r]][0],l._swapRows(r,D,d)),r<p)for(t=r+1;t<p;t++){var M=d[t][r];c(M,0)||(d[t][r]=a(d[t][r],A))}}for(r=0;r<m;r++)for(t=0;t<p;t++)0===r&&(t<m&&(y[t]=[]),v[t]=[]),t<r?(t<m&&(y[t][r]=d[t][r]),r<p&&(v[t][r]=0)):t!==r?(t<m&&(y[t][r]=0),r<p&&(v[t][r]=d[t][r])):(t<m&&(y[t][r]=d[t][r]),r<p&&(v[t][r]=1));var F=new l({data:v,size:g}),O=new l({data:y,size:x}),T=[];for(t=0,h=b.length;t<h;t++)T[b[t]]=t;return{L:F,U:O,p:T,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}}})),yl=De("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,u=e.sign,s=e.sqrt,c=e.conj,f=e.unaryMinus,l=e.addScalar,p=e.divideScalar,m=e.multiplyScalar,h=e.subtract,d=e.complex;return ls(t("qr",{DenseMatrix:function(e){return g(e)},SparseMatrix:function(e){return function(e){throw new Error("qr not implemented for sparse matrices yet")}()},Array:function(e){var t=g(r(e));return{Q:t.Q.valueOf(),R:t.R.valueOf()}}}),{_denseQRimpl:v});function v(e){var t,r,d,v=e._size[0],g=e._size[1],y=i([v],"dense"),x=y._data,b=e.clone(),w=b._data,N=n([v],"");for(d=0;d<Math.min(g,v);++d){var D=w[d][d],E=f(o(D,0)?1:u(D)),A=c(E),S=0;for(t=d;t<v;t++)S=l(S,m(w[t][d],c(w[t][d])));var C=m(E,s(S));if(!a(C)){var M=h(D,C);for(N[d]=1,t=d+1;t<v;t++)N[t]=p(w[t][d],M);var F=f(c(p(M,C))),O=void 0;for(r=d;r<g;r++){for(O=0,t=d;t<v;t++)O=l(O,m(c(N[t]),w[t][r]));for(O=m(O,F),t=d;t<v;t++)w[t][r]=m(h(w[t][r],m(N[t],O)),A)}for(t=0;t<v;t++){for(O=0,r=d;r<v;r++)O=l(O,m(x[t][r],N[r]));for(O=m(O,F),r=d;r<v;++r)x[t][r]=p(h(x[t][r],m(O,c(N[r]))),A)}}}return{Q:y,R:b,toString:function(){return"Q: "+this.Q.toString()+"\nR: "+this.R.toString()}}}function g(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 xl(e,t,r,n,i,a,o){var u=0;for(r[o]=e;u>=0;){var s=r[o+u],c=r[n+s];-1===c?(u--,a[t++]=s):(r[n+s]=r[i+c],r[o+ ++u]=c)}return t}function bl(e){return-e-2}var wl=De("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 u=o._size,s=u[0],c=u[1],f=0,l=Math.max(16,10*Math.sqrt(c)),p=function(e,i,a,o,u){var s=n(i);if(1===e&&o===a)return t(i,s);if(2===e){for(var c=s._index,f=s._ptr,l=0,p=0;p<a;p++){var m=f[p];if(f[p]=l,!(f[p+1]-m>u))for(var h=f[p+1];m<h;m++)c[l++]=c[m]}return f[a]=l,i=n(s),r(s,i)}return r(s,i)}(e,o,s,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],u=0,s=0;s<o;s++){var c=a[s];for(a[s]=u;c<a[s+1];c++)t(i[c],s,n?n[c]:1,null)&&(i[u]=i[c],n&&(n[u]=n[c]),u++)}a[o]=u,i.splice(u,i.length-u),n&&n.splice(u,n.length-u)}(p,a);for(var m,h,d,v,g,y,x,b,w,N,D,E,A,S,C,M,F=p._index,O=p._ptr,T=O[c],B=[],_=[],k=c+1,I=2*(c+1),R=3*(c+1),z=4*(c+1),q=5*(c+1),j=6*(c+1),P=7*(c+1),L=B,U=function(e,t,r,n,a,o,u,s,c,f,l,p){for(var m=0;m<e;m++)r[0+m]=t[m+1]-t[m];r[0+e]=0;for(var h=0;h<=e;h++)r[a+h]=-1,o[h]=-1,r[u+h]=-1,r[s+h]=-1,r[c+h]=1,r[f+h]=1,r[l+h]=0,r[p+h]=r[0+h];var d=i(0,0,r,f,e);return r[l+e]=-2,t[e]=-1,r[f+e]=0,d}(c,O,_,0,R,L,I,P,k,j,z,q),$=function(e,t,r,n,i,a,o,u,s,c,f){for(var l=0,p=0;p<e;p++){var m=r[n+p];if(0===m)r[i+p]=-2,l++,t[p]=-1,r[a+p]=0;else if(m>o)r[u+p]=0,r[i+p]=-1,l++,t[p]=bl(e),r[u+e]++;else{var h=r[s+m];-1!==h&&(c[h]=p),r[f+p]=r[s+m],r[s+m]=p}}return l}(c,O,_,q,z,j,l,k,R,L,I),H=0;$<c;){for(d=-1;H<c&&-1===(d=_[R+H]);H++);-1!==_[I+d]&&(L[_[I+d]]=-1),_[R+H]=_[I+d];var G=_[z+d],V=_[k+d];$+=V;var Z=0;_[k+d]=-V;var W=O[d],J=0===G?W:T,Y=J;for(v=1;v<=G+1;v++){for(v>G?(y=d,x=W,b=_[0+d]-G):(x=O[y=F[W++]],b=_[0+y]),g=1;g<=b;g++)(w=_[k+(m=F[x++])])<=0||(Z+=w,_[k+m]=-w,F[Y++]=m,-1!==_[I+m]&&(L[_[I+m]]=L[m]),-1!==L[m]?_[I+L[m]]=_[I+m]:_[R+_[q+m]]=_[I+m]);y!==d&&(O[y]=bl(d),_[j+y]=0)}for(0!==G&&(T=Y),_[q+d]=Z,O[d]=J,_[0+d]=Y-J,_[z+d]=-2,U=i(U,f,_,j,c),N=J;N<Y;N++)if(!((D=_[z+(m=F[N])])<=0)){var X=U-(w=-_[k+m]);for(W=O[m],E=O[m]+D-1;W<=E;W++)_[j+(y=F[W])]>=U?_[j+y]-=w:0!==_[j+y]&&(_[j+y]=_[q+y]+X)}for(N=J;N<Y;N++){for(A=(E=O[m=F[N]])+_[z+m]-1,S=E,C=0,M=0,W=E;W<=A;W++)if(0!==_[j+(y=F[W])]){var Q=_[j+y]-U;Q>0?(M+=Q,F[S++]=y,C+=y):(O[y]=bl(d),_[j+y]=0)}_[z+m]=S-E+1;var K=S,ee=E+_[0+m];for(W=A+1;W<ee;W++){var te=_[k+(h=F[W])];te<=0||(M+=te,F[S++]=h,C+=h)}0===M?(O[m]=bl(d),Z-=w=-_[k+m],V+=w,$+=w,_[k+m]=0,_[z+m]=-1):(_[q+m]=Math.min(_[q+m],M),F[S]=F[K],F[K]=F[E],F[E]=d,_[0+m]=S-E+1,C=(C<0?-C:C)%c,_[I+m]=_[P+C],_[P+C]=m,L[m]=C)}for(_[q+d]=Z,U=i(U+(f=Math.max(f,Z)),f,_,j,c),N=J;N<Y;N++)if(!(_[k+(m=F[N])]>=0))for(m=_[P+(C=L[m])],_[P+C]=-1;-1!==m&&-1!==_[I+m];m=_[I+m],U++){for(b=_[0+m],D=_[z+m],W=O[m]+1;W<=O[m]+b-1;W++)_[j+F[W]]=U;var re=m;for(h=_[I+m];-1!==h;){var ne=_[0+h]===b&&_[z+h]===D;for(W=O[h]+1;ne&&W<=O[h]+b-1;W++)_[j+F[W]]!==U&&(ne=0);ne?(O[h]=bl(m),_[k+m]+=_[k+h],_[k+h]=0,_[z+h]=-1,h=_[I+h],_[I+re]=h):(re=h,h=_[I+h])}}for(W=J,N=J;N<Y;N++)(w=-_[k+(m=F[N])])<=0||(_[k+m]=w,M=_[q+m]+Z-w,-1!==_[R+(M=Math.min(M,c-$-w))]&&(L[_[R+M]]=m),_[I+m]=_[R+M],L[m]=-1,_[R+M]=m,H=Math.min(H,M),_[q+m]=M,F[W++]=m);_[k+d]=V,0==(_[0+d]=W-J)&&(O[d]=-1,_[j+d]=0),0!==G&&(T=W)}for(m=0;m<c;m++)O[m]=bl(O[m]);for(h=0;h<=c;h++)_[R+h]=-1;for(h=c;h>=0;h--)_[k+h]>0||(_[I+h]=_[R+O[h]],_[R+O[h]]=h);for(y=c;y>=0;y--)_[k+y]<=0||-1!==O[y]&&(_[I+y]=_[R+O[y]],_[R+O[y]]=y);for(d=0,m=0;m<=c;m++)-1===O[m]&&(d=xl(m,d,_,R,I,B,j));return B.splice(B.length-1,1),B};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 Nl(e,t,r,n,i,a,o){var u,s,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(u=l;u!==c;u=s)s=r[o+u],r[o+u]=c}return{jleaf:f,q:c}}var Dl=De("csCounts",["transpose"],(function(e){var t=e.transpose;return function(e,r,n,i){if(!e||!r||!n)return null;var a,o,u,s,c,f,l,p=e._size,m=p[0],h=p[1],d=4*h+(i?h+m+1:0),v=[],g=h,y=2*h,x=3*h,b=4*h,w=5*h+1;for(u=0;u<d;u++)v[u]=-1;var N=[],D=t(e),E=D._index,A=D._ptr;for(u=0;u<h;u++)for(N[o=n[u]]=-1===v[x+o]?1:0;-1!==o&&-1===v[x+o];o=r[o])v[x+o]=u;if(i){for(u=0;u<h;u++)v[n[u]]=u;for(a=0;a<m;a++){for(u=h,f=A[a],l=A[a+1],c=f;c<l;c++)u=Math.min(u,v[E[c]]);v[w+a]=v[b+u],v[b+u]=a}}for(a=0;a<h;a++)v[0+a]=a;for(u=0;u<h;u++){for(-1!==r[o=n[u]]&&N[r[o]]--,s=i?v[b+u]:o;-1!==s;s=i?v[w+s]:-1)for(c=A[s];c<A[s+1];c++){var S=Nl(a=E[c],o,v,x,g,y,0);S.jleaf>=1&&N[o]++,2===S.jleaf&&N[S.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}})),El=De("csSqr",["add","multiply","transpose"],(function(e){var t=e.add,r=e.multiply,n=e.transpose,i=wl({add:t,multiply:r,transpose:n}),a=Dl({transpose:n});return function(e,t,r){var n,o=t._ptr,u=t._size[1],s={};if(s.q=i(e,t),e&&!s.q)return null;if(r){var c=e?function(e,t,r,n){for(var i=e._values,a=e._index,o=e._ptr,u=e._size,s=e._datatype,c=u[0],f=u[1],l=null,p=[],m=[],h=0,d=0;d<f;d++){m[d]=h;for(var v=r?r[d]:d,g=o[v],y=o[v+1],x=g;x<y;x++){var b=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:s})}(t,0,s.q):t;s.parent=function(e,t){if(!e)return null;var r,n,i=e._index,a=e._ptr,o=e._size,u=o[0],s=o[1],c=[],f=[],l=s;for(r=0;r<u;r++)f[l+r]=-1;for(var p=0;p<s;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=f[l+v];-1!==r&&r<p;r=n)n=f[0+r],f[0+r]=p,-1===n&&(c[r]=p);f[l+v]=p}}return c}(c);var f=function(e,t){if(!e)return null;var r,n=0,i=[],a=[],o=t,u=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=xl(r,n,a,0,o,i,u));return i}(s.parent,u);if(s.cp=a(c,s.parent,f,1),c&&s.parent&&s.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 u,s,c,f,l,p=t.parent,m=t.pinv,h=t.leftmost,d=[],v=a,g=a+o,y=a+2*o;for(s=0;s<o;s++)d[v+s]=-1,d[g+s]=-1,d[y+s]=0;for(u=0;u<a;u++)h[u]=-1;for(s=o-1;s>=0;s--)for(f=r[s],l=r[s+1],c=f;c<l;c++)h[n[c]]=s;for(u=a-1;u>=0;u--)m[u]=-1,-1!==(s=h[u])&&(0==d[y+s]++&&(d[g+s]=u),d[0+u]=d[v+s],d[v+s]=u);for(t.lnz=0,t.m2=a,s=0;s<o;s++)if(u=d[v+s],t.lnz++,u<0&&(u=t.m2++),m[u]=s,!(--y[s]<=0)){t.lnz+=d[y+s];var x=p[s];-1!==x&&(0===d[y+x]&&(d[g+x]=d[g+s]),d[0+d[g+s]]=d[v+x],d[v+x]=d[0+u],d[y+x]+=d[y+s])}for(u=0;u<a;u++)m[u]<0&&(m[u]=s++);return!0}(c,s))for(s.unz=0,n=0;n<u;n++)s.unz+=s.cp[n]}else s.unz=4*o[u]+u,s.lnz=s.unz;return s}}));function Al(e,t){return e[t]<0}function Sl(e,t){e[t]=bl(e[t])}function Cl(e){return e<0?bl(e):e}function Ml(e,t,r,n,i){var a,o,u,s=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;Al(c,e)||(Sl(c,e),n[f+l]=p<0?0:Cl(c[p]));var m=1;for(o=n[f+l],u=p<0?0:Cl(c[p+1]);o<u;o++)if(!Al(c,a=s[o])){n[f+l]=o,n[++l]=a,m=0;break}m&&(l--,n[--r]=e)}return r}var Fl=De("csSpsolve",["divideScalar","multiply","subtract"],(function(e){var t=e.divideScalar,r=e.multiply,n=e.subtract;return function(e,i,a,o,u,s,c){var f,l,p,m,h=e._values,d=e._index,v=e._ptr,g=e._size[1],y=i._values,x=i._index,b=i._ptr,w=function(e,t,r,n,i){var a,o,u,s=e._ptr,c=e._size,f=t._index,l=t._ptr,p=c[1],m=p;for(o=l[r],u=l[r+1],a=o;a<u;a++){var h=f[a];Al(s,h)||(m=Ml(h,e,m,n,i))}for(a=m;a<p;a++)Sl(s,n[a]);return m}(e,i,a,o,s);for(f=w;f<g;f++)u[o[f]]=0;for(l=b[a],p=b[a+1],f=l;f<p;f++)u[x[f]]=y[f];for(var N=w;N<g;N++){var D=o[N],E=s?s[D]:D;if(!(E<0))for(l=v[E],p=v[E+1],u[D]=t(u[D],h[c?l:p-1]),f=c?l+1:l,m=c?p:p-1;f<m;f++){var A=d[f];u[A]=n(u[A],r(h[f],u[D]))}}return w}})),Ol=De("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,u=e.SparseMatrix,s=Fl({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=[],g=[],y=[],x=new u({values:v,index:g,ptr:y,size:[l,l]}),b=[],w=[],N=[],D=new u({values:b,index:w,ptr:N,size:[l,l]}),E=[],A=[],S=[];for(h=0;h<l;h++)A[h]=0,E[h]=-1,y[h+1]=0;p=0,m=0;for(var C=0;C<l;C++){y[C]=p,N[C]=m;var M=f?f[C]:C,F=s(x,e,M,S,A,E,1),O=-1,T=-1;for(d=F;d<l;d++)if(E[h=S[d]]<0){var B=t(A[h]);a(B,T)&&(T=B,O=h)}else w[m]=E[h],b[m++]=A[h];if(-1===O||T<=0)return null;E[M]<0&&o(t(A[M]),n(T,c))&&(O=M);var _=A[O];for(w[m]=C,b[m++]=_,E[O]=C,g[p]=O,v[p++]=1,d=F;d<l;d++)E[h=S[d]]<0&&(g[p]=h,v[p++]=r(A[h],_)),A[h]=0}for(y[l]=p,N[l]=m,d=0;d<p;d++)g[d]=E[g[d]];return v.splice(p,v.length-p),g.splice(p,g.length-p),b.splice(m,b.length-m),w.splice(m,w.length-m),{L:x,U:D,pinv:E}}})),Tl=De("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,u=e.subtract,s=e.larger,c=e.largerEq,f=e.SparseMatrix,l=El({add:n,multiply:i,transpose:a}),p=Ol({abs:r,divideScalar:o,multiply:i,subtract:u,larger:s,largerEq:c,SparseMatrix:f});return t("slu",{"SparseMatrix, number, number":function(e,t,r){if(!G(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 Bl(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 _l="lusolve",kl=De(_l,["typed","matrix","lup","slu","usolve","lsolve","DenseMatrix"],(function(e){var t=e.typed,r=e.matrix,n=e.lup,i=e.slu,a=e.usolve,o=e.lsolve,u=ou({DenseMatrix:e.DenseMatrix});return t(_l,{"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 s(e){if(l(e))return e;if(f(e))return r(e);throw new TypeError("Invalid Matrix LU decomposition")}function c(e,t,r,n,i){e=s(e),t=s(t),r&&((i=u(e,i,!0))._data=Bl(r,i._data));var c=o(e,i),f=a(t,c);return n&&(f._data=Bl(n,f._data)),f}})),Il=De("Help",["parse"],(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||x(o)||(r+="        "+ut(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=me(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}),Rl=De("Chain",["?on","math","typed"],(function(e){var t=e.on,r=e.math,n=e.typed;function i(e){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");U(e)?this.value=e.value:this.value=e}function a(e,t){be(i.prototype,e,(function(){var e=t();if("function"==typeof e)return o(e)}))}function o(e){return function(){if(0===arguments.length)return new i(e(this.value));for(var t=[this.value],r=0;r<arguments.length;r++)t[r+1]=arguments[r];if(n.isTypedFunction(e)){var a=n.resolve(e,t);if(1===a.params.length)throw new Error("chain function "+e.name+" cannot match rest parameter between chain value and additional arguments.");return new i(a.implementation.apply(e,t))}return new i(e.apply(e,t))}}i.prototype.type="Chain",i.prototype.isChain=!0,i.prototype.done=function(){return this.value},i.prototype.valueOf=function(){return this.value},i.prototype.toString=function(){return ut(this.value)},i.prototype.toJSON=function(){return{mathjs:"Chain",value:this.value}},i.fromJSON=function(e){return new i(e.value)},i.createProxy=function(e,t){if("string"==typeof e)s=e,"function"==typeof(c=t)&&(i.prototype[s]=o(c));else{var r=function(t){we(e,t)&&void 0===u[t]&&a(t,(function(){return e[t]}))};for(var n in e)r(n)}var s,c};var u={expression:!0,docs:!0,type:!0,classes:!0,json:!0,error:!0,isChain:!0};return i.createProxy(r),t&&t("import",(function(e,t,r){r||a(e,t)})),i}),{isClass:!0}),zl={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"]},ql={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"]},jl={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:zl,E:zl,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:ql,PI:ql,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"]},simplifyConstant:{name:"simplifyConstant",category:"Algebra",syntax:["simplifyConstant(expr)","simplifyConstant(expr, options)"],description:"Replace constant subexpressions of node with their values.",examples:['simplifyConatant("(3-3)*x")','simplifyConstant(parse("z-cos(tau/8)"))'],seealso:["simplify","simplifyCore","evaluate"]},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","simplifyConstant","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, $2", [6, 9, 4])'],seealso:["format"]},typeOf:{name:"typeOf",category:"Utils",syntax:["typeOf(x)"],description:"Get the type of a variable.",examples:["typeOf(3.5)","typeOf(2 - 4i)","typeOf(45 deg)",'typeOf("hello world")'],seealso:["getMatrixDataType"]},numeric:{name:"numeric",category:"Utils",syntax:["numeric(x)"],description:"Convert a numeric input to a specific numeric type: number, BigNumber, or Fraction.",examples:['numeric("4")','numeric("4", "number")','numeric("4", "BigNumber")','numeric("4", "Fraction)','numeric(4, "Fraction")','numeric(fraction(2, 5), "number)'],seealso:["number","fraction","bignumber","string","format"]}},Pl="help",Ll=De(Pl,["typed","mathWithTransform","Help"],(function(e){var t=e.typed,r=e.mathWithTransform,n=e.Help;return t(Pl,{any:function(e){var t,i=e;if("string"!=typeof e)for(t in r)if(we(r,t)&&e===r[t]){i=t;break}var a=Fe(jl,i);if(!a){var o="function"==typeof i?i.name:i;throw new Error('No documentation found on "'+o+'"')}return new n(a)}})})),Ul="chain",$l=De(Ul,["typed","Chain"],(function(e){var t=e.typed,r=e.Chain;return t(Ul,{"":function(){return new r},any:function(e){return new r(e)}})})),Hl=De("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,u=e.unaryMinus;return t("det",{any:function(e){return me(e)},"Array | Matrix":function(e){var t;switch((t=l(e)?e.size():Array.isArray(e)?(e=r(e)).size():[]).length){case 0:return me(e);case 1:if(1===t[0])return me(e.valueOf()[0]);throw new RangeError("Matrix must be square (size: "+ut(t)+")");case 2:var s=t[0];if(s===t[1])return function(e,t,r){if(1===t)return me(e[0][0]);if(2===t)return n(i(e[0][0],e[1][1]),i(e[1][0],e[0][1]));for(var s=!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,s=!s;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],g=f+1;g<t;g++)e[v][g]=a(n(i(e[v][g],m),i(e[v][f],e[l][g])),h)}var y=e[c[t-1]][t-1];return s?u(y):y}(e.clone().valueOf(),s);throw new RangeError("Matrix must be square (size: "+ut(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+ut(t)+")")}}})})),Gl=De("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,u=e.det,s=e.identity,c=e.abs;return t("inv",{"Array | Matrix":function(e){var t=l(e)?e.size():ht(e);switch(t.length){case 1:if(1===t[0])return l(e)?r([n(1,e.valueOf()[0])]):[n(1,e[0])];throw new RangeError("Matrix must be square (size: "+ut(t)+")");case 2:var i=t[0],a=t[1];if(i===a)return l(e)?r(f(e.valueOf(),i,a),e.storage()):f(e,i,a);throw new RangeError("Matrix must be square (size: "+ut(t)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+ut(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=u(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 g=s(t).valueOf(),y=0;y<r;y++){var x=c(v[y][y]),b=y;for(f=y+1;f<t;)c(v[f][y])>x&&(x=c(v[f][y]),b=f),f++;if(0===x)throw Error("Cannot calculate inverse, determinant is zero");(f=b)!==y&&(h=v[y],v[y]=v[f],v[f]=h,h=g[y],g[y]=g[f],g[f]=h);var w=v[y],N=g[y];for(f=0;f<t;f++){var D=v[f],E=g[f];if(f!==y){if(0!==D[y]){for(p=n(o(D[y]),w[y]),l=y;l<r;l++)D[l]=i(D[l],a(p,w[l]));for(l=0;l<r;l++)E[l]=i(E[l],a(p,N[l]))}}else{for(p=w[y],l=y;l<r;l++)D[l]=n(D[l],p);for(l=0;l<r;l++)E[l]=n(E[l],p)}}}return g}})),Vl="pinv",Zl=De(Vl,["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,u=e.dot,s=e.ctranspose,c=e.divideScalar,f=e.multiply,p=e.add,m=e.Complex;return t(Vl,{"Array | Matrix":function(e){var t=l(e)?e.size():ht(e);switch(t.length){case 1:return v(e)?s(e):1===t[0]?n(e):o(s(e),u(e,e));case 2:if(v(e))return s(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 l(e)?r(h(e.valueOf(),i,a),e.storage()):h(e,i,a);default:throw new RangeError("Matrix must be two dimensional (size: "+ut(t)+")")}},any:function(e){return a(e,0)?me(e):c(1,e)}});function h(e,t,r){var i=function(e,t,r){var n=function(e,t,r){for(var n=me(e),i=0,a=0;a<t;a++){if(r<=i)return n;for(var u=a;d(n[u][i]);)if(t===++u&&(u=a,r===++i))return n;var s=[n[a],n[u]];n[u]=s[0],n[a]=s[1];for(var c=n[a][i],l=0;l<r;l++)n[a][l]=o(n[a][l],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]=p(n[m][h],f(-1,f(c,n[a][h])))}i++}return n}(e,t,r);return{C:e.map((function(e,r){return e.filter((function(e,r){return r<t&&!d(u(n[r],n[r]))}))})),F:n.filter((function(e,t){return!d(u(n[t],n[t]))}))}}(e,t,r),a=i.C,c=i.F,l=f(n(f(s(a),a)),s(a)),m=f(s(c),n(f(c,s(c))));return f(m,l)}function d(e){return a(p(e,m(1,1)),p(0,m(1,1)))}function v(e){return i(p(e,m(1,1)),p(f(e,0),m(1,1)))}}));function Wl(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(e){if("string"==typeof e)return Jl(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)?Jl(e,t):void 0}}(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,u=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){u=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(u)throw a}}}}function Jl(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 Yl=De("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,s=e.addScalar,c=e.subtract,f=e.equal,l=e.abs,p=e.atan,m=e.cos,h=e.sin,d=e.multiplyScalar,v=e.divideScalar,g=e.inv,y=e.bignumber,x=e.multiply,b=e.add,w=e.larger,N=e.column,D=e.flatten,E=e.number,A=e.complex,S=e.sqrt,C=e.diag,M=e.qr,F=e.usolve,O=e.usolveAll,T=e.im,B=e.re,_=e.smaller,k=e.matrixFromColumns,I=e.dot,R=function(e){var t=e.config,r=e.addScalar,n=e.subtract,i=e.abs,a=e.atan,o=e.cos,u=e.sin,s=e.multiplyScalar,c=e.inv,f=e.bignumber,l=e.multiply,p=e.add;function m(e,r){for(var n,i=e.length,a=Math.abs(r/i),o=new Array(i),u=0;u<i;u++)o[u]=N(i,0),o[u][u]=1;for(var s=x(e);Math.abs(s[1])>=Math.abs(a);){var c=s[0][0],f=s[0][1];e=y(e,(l=e[c][c],p=e[f][f],m=e[c][f],h=void 0,h=p-l,n=Math.abs(h)<=t.epsilon?Math.PI/4:.5*Math.atan(2*m/(p-l))),c,f),o=d(o,n,c,f),s=x(e)}for(var l,p,m,h,v=N(i,0),g=0;g<i;g++)v[g]=e[g][g];return w(me(v),me(o))}function h(e,r){for(var o,u=e.length,p=i(r/u),m=new Array(u),h=0;h<u;h++)m[h]=N(u,0),m[h][h]=1;for(var d=b(e);i(d[1])>=i(p);){var y=d[0][0],x=d[0][1];e=g(e,(D=e[y][y],E=e[x][x],A=e[y][x],S=void 0,S=n(E,D),o=i(S)<=t.epsilon?f(-1).acos().div(4):s(.5,a(l(2,A,c(S))))),y,x),m=v(m,o,y,x),d=b(e)}for(var D,E,A,S,C=N(u,0),M=0;M<u;M++)C[M]=e[M][M];return w(me(C),me(m))}function d(e,t,r,n){for(var i=e.length,a=Math.cos(t),o=Math.sin(t),u=N(i,0),s=N(i,0),c=0;c<i;c++)u[c]=a*e[c][r]-o*e[c][n],s[c]=o*e[c][r]+a*e[c][n];for(var f=0;f<i;f++)e[f][r]=u[f],e[f][n]=s[f];return e}function v(e,t,i,a){for(var c=e.length,l=o(t),p=u(t),m=N(c,f(0)),h=N(c,f(0)),d=0;d<c;d++)m[d]=n(s(l,e[d][i]),s(p,e[d][a])),h[d]=r(s(p,e[d][i]),s(l,e[d][a]));for(var v=0;v<c;v++)e[v][i]=m[v],e[v][a]=h[v];return e}function g(e,t,i,a){for(var c=e.length,m=f(o(t)),h=f(u(t)),d=s(m,m),v=s(h,h),g=N(c,f(0)),y=N(c,f(0)),x=l(f(2),m,h,e[i][a]),b=r(n(s(d,e[i][i]),x),s(v,e[a][a])),w=p(s(v,e[i][i]),x,s(d,e[a][a])),D=0;D<c;D++)g[D]=n(s(m,e[i][D]),s(h,e[a][D])),y[D]=r(s(h,e[i][D]),s(m,e[a][D]));e[i][i]=b,e[a][a]=w,e[i][a]=f(0),e[a][i]=f(0);for(var E=0;E<c;E++)E!==i&&E!==a&&(e[i][E]=g[E],e[E][i]=g[E],e[a][E]=y[E],e[E][a]=y[E]);return e}function y(e,t,r,n){for(var i=e.length,a=Math.cos(t),o=Math.sin(t),u=a*a,s=o*o,c=N(i,0),f=N(i,0),l=u*e[r][r]-2*a*o*e[r][n]+s*e[n][n],p=s*e[r][r]+2*a*o*e[r][n]+u*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 x(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 b(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 w(e,t){for(var r=e.length,n=Array(r),a=Array(r),o=0;o<r;o++)a[o]=Array(r);for(var u=0;u<r;u++){for(var s=0,c=e[0],f=0;f<e.length;f++)i(e[f])<i(c)&&(c=e[s=f]);n[u]=e.splice(s,1)[0];for(var l=0;l<r;l++)a[l][u]=t[l][s],t[l].splice(s,1)}return{values:n,vectors:a}}function N(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:s,subtract:c,column:N,flatten:D,equal:f,abs:l,atan:p,cos:m,sin:h,multiplyScalar:d,inv:g,bignumber:y,complex:A,multiply:x,add:b}),z=function(e){var t=e.addScalar,r=e.subtract,n=e.flatten,i=e.multiply,a=e.multiplyScalar,o=e.divideScalar,u=e.sqrt,s=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,g=e.larger,y=e.smaller,x=e.matrixFromColumns,b=e.dot;function w(e,t,n,i,a,o,u,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(y(s(n),u))return[[h,m],[m,h]];if(g(s(r(a,o)),u))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 y(s(x),u)?[[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,yo(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 D(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,u=0;a=A(t,r,i),a=m(e,a),!g(C(a),o);)if(++u>=5)return null;for(u=0;;){var s=m(e,a);if(y(C(S(a,[s])),n))break;if(++u>=10)return null;a=M(s)}return a}function A(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)}))),M(a=S(a,t),r)}function S(e,t){var n,a=Wl(t);try{for(a.s();!(n=a.n()).done;){var u=n.value;e=r(e,i(o(b(u,e),b(u,u)),u))}}catch(e){a.e(e)}finally{a.f()}return e}function C(e){return s(u(b(e,e)))}function M(e,t){var r="Complex"===t,n="BigNumber"===t?c(1):r?v(1):1;return i(o(n,C(e)),e)}return function(e,m,b,A,S){void 0===S&&(S=!0);var C=function(e,r,n,i,u){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);u&&(l=Array(r).fill(x));for(var D=!1;!D;){D=!0;for(var E=0;E<r;E++){for(var A=h,S=h,C=0;C<r;C++)if(E!==C){var M=s(e[E][C]);A=t(A,M),S=t(S,M)}if(!d(A,0)&&!d(S,0)){for(var F=b,O=A,T=o(S,w),B=a(S,w);y(O,T);)O=a(O,N),F=a(F,w);for(;g(O,B);)O=o(O,N),F=o(F,w);if(y(o(t(O,S),F),a(t(A,S),.95))){D=!1;for(var _=o(1,F),k=0;k<r;k++)E!==k&&(e[E][k]=a(e[E][k],F),e[k][E]=a(e[k][E],_));u&&(l[E]=a(l[E],F))}}}}return f(l)}(e,m,0,A,S);!function(e,n,i,u,f,l){var p="BigNumber"===u,m="Complex"===u,h=p?c(0):m?v(0):0;p&&(i=c(i));for(var d=0;d<n-2;d++){for(var g=0,x=h,b=d+1;b<n;b++){var w=e[b][d];y(s(x),s(w))&&(x=w,g=b)}if(!y(s(x),i)){if(g!==d+1){var N=e[g];e[g]=e[d+1],e[d+1]=N;for(var D=0;D<n;D++){var E=e[D][g];e[D][g]=e[D][d+1],e[D][d+1]=E}if(f){var A=l[g];l[g]=l[d+1],l[d+1]=A}}for(var S=d+2;S<n;S++){var C=o(e[S][d],x);if(0!==C){for(var M=0;M<n;M++)e[S][M]=r(e[S][M],a(C,e[d+1][M]));for(var F=0;F<n;F++)e[F][d+1]=t(e[F][d+1],a(C,e[F][S]));if(f)for(var O=0;O<n;O++)l[S][O]=r(l[S][O],a(C,l[d+1][O]))}}}}}(e,m,b,A,S,C);var M,F=function(e,n,o,l,m){var h="BigNumber"===l,d="Complex"===l,g=h?c(1):d?v(1):1;h&&(o=c(o));for(var x,b,D,E,A,S,C,M,F=me(e),O=[],T=n,B=[],_=m?f(Array(n).fill(g)):void 0,k=m?f(Array(T).fill(g)):void 0,I=0;I<=100;){I+=1;for(var R=0;R<T;R++)F[R][R]=r(F[R][R],0);var z=p(F),q=z.Q,j=z.R;F=i(j,q);for(var P=0;P<T;P++)F[P][P]=t(F[P][P],0);if(m&&(k=i(k,q)),1===T||y(s(F[T-1][T-2]),o)){I=0,O.push(F[T-1][T-1]),m&&(B.unshift([[1]]),N(k,n),_=i(_,k),T>1&&(k=f(Array(T-1).fill(g)))),T-=1,F.pop();for(var L=0;L<T;L++)F[L].pop()}else if(2===T||y(s(F[T-2][T-3]),o)){I=0;var U=(x=F[T-2][T-2],b=F[T-2][T-1],D=F[T-1][T-2],E=F[T-1][T-1],A=void 0,S=void 0,C=void 0,M=void 0,A=t(x,E),S=r(a(x,E),a(b,D)),C=a(A,.5),M=a(u(r(a(A,A),a(4,S))),.5),[t(C,M),r(C,M)]);O.push.apply(O,yo(U)),m&&(B.unshift(w(F[T-2][T-2],F[T-2][T-1],F[T-1][T-2],F[T-1][T-1],U[0],U[1],o,l)),N(k,n),_=i(_,k),T>2&&(k=f(Array(T-2).fill(g)))),T-=2,F.pop(),F.pop();for(var $=0;$<T;$++)F[$].pop(),F[$].pop()}if(0===T)break}if(O.sort((function(e,t){return+r(s(e),s(t))})),I>100){var H=Error("The eigenvalues failed to converge. Only found these eigenvalues: "+O.join(", "));throw H.values=O,H.vectors=[],H}var G=m?i(_,function(e,t){for(var r=[],n=0;n<t;n++)r[n]=Array(t).fill(0);var i,a=0,o=Wl(e);try{for(o.s();!(i=o.n()).done;){for(var u=i.value,s=u.length,c=0;c<s;c++)for(var f=0;f<s;f++)r[a+c][a+f]=u[c][f];a+=s}}catch(e){o.e(e)}finally{o.f()}return r}(B,n)):void 0;return{values:O,C:G}}(e,m,b,A,S),O=F.values,T=F.C;return S&&(M=function(e,t,a,o,u,s,p){var m,g=l(a),y=i(g,e,a),x="BigNumber"===p,b="Complex"===p,w=x?c(0):b?v(0):0,N=x?c(1):b?v(1):1,A=[],S=[],C=Wl(u);try{for(C.s();!(m=C.n()).done;){var M=m.value,F=D(A,M,d);-1===F?(A.push(M),S.push(1)):S[F]+=1}}catch(z){C.e(z)}finally{C.f()}for(var O=[],T=A.length,B=Array(t).fill(w),_=f(Array(t).fill(N)),k=[],I=function(e){var u=A[e],c=r(y,i(u,_)),f=h(c,B);for(f.shift();f.length<S[e];){var m=E(c,t,f,s,p);if(null==m){k.push(u);break}f.push(m)}var d=i(l(o),a);f=f.map((function(e){return i(d,e)})),O.push.apply(O,yo(f.map((function(e){return n(e)}))))},R=0;R<T;R++)I(R);if(0!==k.length){var z=new Error("Failed to find eigenvectors for the following eigenvalues: "+k.join(", "));throw z.values=u,z.vectors=O,z}return O}(e,m,T,C,O,b,A),M=x.apply(void 0,yo(M))),{values:O,vectors:M}}}({config:t,addScalar:s,subtract:c,multiply:x,multiplyScalar:d,flatten:D,divideScalar:v,sqrt:S,abs:l,bignumber:y,diag:C,qr:M,inv:g,usolve:F,usolveAll:O,equal:f,complex:A,larger:w,smaller:_,matrixFromColumns:k,dot:I});return r("eigs",{Array:function(e){return q(n(e))},"Array, number|BigNumber":function(e,t){return q(n(e),t)},Matrix:function(e){var t=q(e),r=t.values,i=t.vectors;return{values:n(r),vectors:n(i)}},"Matrix, number|BigNumber":function(e,t){var r=q(e,t),i=r.values,a=r.vectors;return{values:n(i),vectors:n(a)}}});function q(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: "+ut(n)+")");var i=e.toArray(),a=n[0];if(function(e,t,r){for(var n=0;n<t;n++)for(var i=0;i<t;i++)if(w(y(l(T(e[n][i]))),r))return!1;return!0}(i,a,r)&&(function(e,t){for(var r=0;r<t;r++)for(var n=0;n<t;n++)e[r][n]=B(e[r][n])}(i,a),function(e,t,r){for(var n=0;n<t;n++)for(var i=n;i<t;i++)if(w(y(l(c(e[n][i],e[i][n]))),r))return!1;return!0}(i,a,r))){var o=j(e,i,a);return R(i,a,r,o)}var u=j(e,i,a);return z(i,a,r,u)}function j(e,t,r){var n=e.datatype();if("number"===n||"BigNumber"===n||"Complex"===n)return n;for(var s=!1,c=!1,f=!1,l=0;l<r;l++)for(var p=0;p<r;p++){var m=t[l][p];if(i(m)||u(m))s=!0;else if(a(m))c=!0;else{if(!o(m))throw TypeError("Unsupported type in Matrix: "+$(m));f=!0}}if(c&&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]=A(t[h][d]);return"Complex"}if(c){for(var v=0;v<r;v++)for(var g=0;g<r;g++)t[v][g]=y(t[v][g]);return"BigNumber"}if(s){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.")}})),Xl="expm",Ql=De(Xl,["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(Xl,{Matrix:function(e){var t=e.size();if(2!==t.length||t[0]!==t[1])throw new RangeError("Matrix must be square (size: "+ut(t)+")");for(var s=t[0],c=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),f=function(e,t){for(var r=0;r<30;r++)for(var n=0;n<=r;n++){var i=r-n;if(u(e,n,i)<1e-15)return{q:n,j:i}}throw new Error("Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)")}(c),l=f.q,p=f.j,m=o(e,Math.pow(2,-p)),d=i(s),v=i(s),g=1,y=m,x=-1,b=1;b<=l;b++)b>1&&(y=o(y,m),x=-x),d=n(d,o(g=g*(l-b+1)/((2*l-b+1)*b),y)),v=n(v,o(g*x,y));for(var w=o(a(v),d),N=0;N<p;N++)w=o(w,w);return h(e)?e.createSparseMatrix(w):w}});function u(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 u=a*(2*t+1);return 8*Math.pow(e/Math.pow(2,r),2*t)*n*n/(a*u)}})),Kl="sqrtm",ep=De(Kl,["typed","abs","add","multiply","map","sqrt","subtract","inv","size","max","identity"],(function(e){var t=e.typed,r=e.abs,n=e.add,i=e.multiply,a=e.map,o=e.sqrt,u=e.subtract,s=e.inv,c=e.size,f=e.max,p=e.identity,m=1e-6;function h(e){var t,a=0,o=e,l=p(c(e));do{var h=o;if(o=i(.5,n(h,s(l))),l=i(.5,n(l,s(h))),(t=f(r(u(o,h))))>m&&++a>1e3)throw new Error("computing square root of matrix: iterative method could not converge")}while(t>m);return o}return t(Kl,{"Array | Matrix":function(e){var t=l(e)?e.size():ht(e);switch(t.length){case 1:if(1===t[0])return a(e,o);throw new RangeError("Matrix must be square (size: "+ut(t)+")");case 2:if(t[0]===t[1])return h(e);throw new RangeError("Matrix must be square (size: "+ut(t)+")");default:throw new RangeError("Matrix must be at most two dimensional (size: "+ut(t)+")")}}})})),tp=De("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,u=Cn({typed:t,equalScalar:i}),s=Fn({typed:t});return t("divide",de({"Array | Matrix, Array | Matrix":function(e,t){return n(e,o(t))},"DenseMatrix, any":function(e,t){return s(e,t,a,!1)},"SparseMatrix, any":function(e,t){return u(e,t,a,!1)},"Array, any":function(e,t){return s(r(e),t,a,!1).valueOf()},"any, Array | Matrix":function(e,t){return n(e,o(t))}},a.signatures))})),rp="distance",np=De(rp,["typed","addScalar","subtract","divideScalar","multiplyScalar","unaryMinus","sqrt","abs"],(function(e){var t=e.typed,r=e.addScalar,n=e.subtract,i=e.multiplyScalar,o=e.divideScalar,u=e.unaryMinus,s=e.sqrt,c=e.abs;return t(rp,{"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 a=o(n(r[1],r[0]),n(t[1],t[0])),s=i(i(a,a),t[0]),c=u(i(a,t[0])),f=e[1];return v(e[0],e[1],s,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 a=o(n(r.lineTwoPtY,r.lineTwoPtX),n(t.lineOnePtY,t.lineOnePtX)),s=i(i(a,a),t.lineOnePtX),c=u(i(a,t.lineOnePtX)),f=e.pointX;return v(e.pointX,e.pointY,s,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 g(e[0],e[1],e[2],t[0],t[1],t[2],t[3],t[4],t[5])}if(e.length===t.length&&e.length>0){if(!m(e))throw new TypeError("All values of an array should be numbers or BigNumbers");if(!m(t))throw new TypeError("All values of an array should be numbers or BigNumbers");return y(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 g(e.pointX,e.pointY,e.pointZ,t.x0,t.y0,t.z0,t.a,t.b,t.c);throw new TypeError("Key names do not match")}if(2===Object.keys(e).length&&2===Object.keys(t).length){if(!l(e))throw new TypeError("Values of pointOneX and pointOneY should be numbers or BigNumbers");if(!l(t))throw new TypeError("Values of pointTwoX and pointTwoY should be numbers or BigNumbers");if("pointOneX"in e&&"pointOneY"in e&&"pointTwoX"in t&&"pointTwoY"in t)return y([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 y([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(y(r,n));return t}(e)}});function f(e){return"number"==typeof e||a(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,a,u){var f=c(r(r(i(n,e),i(a,t)),u)),l=s(r(i(n,n),i(a,a)));return o(f,l)}function g(e,t,a,u,c,f,l,p,m){var h=[n(i(n(c,t),m),i(n(f,a),p)),n(i(n(f,a),l),i(n(u,e),m)),n(i(n(u,e),p),i(n(c,t),l))];h=s(r(r(i(h[0],h[0]),i(h[1],h[1])),i(h[2],h[2])));var d=s(r(r(i(l,l),i(p,p)),i(m,m)));return o(h,d)}function y(e,t){for(var a=e.length,o=0,u=0,c=0;c<a;c++)u=n(e[c],t[c]),o=r(i(u,u),o);return s(o)}})),ip=De("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,u=e.multiply,s=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":g,"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=g(e.valueOf(),t.valueOf(),r.valueOf(),n.valueOf());return null===i?null:o(i)}});function v(e,t,r){if(e=y(e),t=y(t),r=y(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,u,l,p,m){var h=s(e,u),d=s(n,u),v=s(t,l),g=s(i,l),y=s(r,p),x=s(o,p),b=f(f(f(m,h),v),y),w=f(f(f(a(a(d,g),x),h),v),y),N=c(b,w);return[a(e,s(N,f(n,e))),a(t,s(N,f(i,t))),a(r,s(N,f(o,r)))]}(e[0],e[1],e[2],t[0],t[1],t[2],r[0],r[1],r[2],r[3])}function g(e,t,o,m){if(e=y(e),t=y(t),o=y(o),m=y(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),g=f(d,p),y=f(s(v[0],g[1]),s(g[0],v[1]));if(h(y))return null;if(l(n(y),r.epsilon))return null;var x=s(g[0],m[1]),b=s(g[1],m[0]),w=s(g[0],d[1]),N=s(g[1],d[0]),D=c(a(f(f(x,b),w),N),y);return i(u(v,D),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,u,l,m,d,v,g){var y=w(e,u,d,u,t,l,v,l,r,m,g,m),x=w(d,u,n,e,v,l,i,t,g,m,o,r),b=w(e,u,n,e,t,l,i,t,r,m,o,r),N=w(d,u,d,u,v,l,v,l,g,m,g,m),D=w(n,e,n,e,i,t,i,t,o,r,o,r),E=f(s(y,x),s(b,N)),A=f(s(D,N),s(x,x));if(h(A))return null;var S=c(E,A),C=c(a(y,s(S,x)),N),M=a(e,s(S,f(n,e))),F=a(t,s(S,f(i,t))),O=a(r,s(S,f(o,r))),T=a(u,s(C,f(d,u))),B=a(l,s(C,f(v,l))),_=a(m,s(C,f(g,m)));return p(M,T)&&p(F,B)&&p(O,_)?[M,F,O]: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 y(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,u,c,l,p,m,h){var d=s(f(e,t),f(r,n)),v=s(f(i,o),f(u,c)),g=s(f(l,p),f(m,h));return a(a(d,v),g)}})),ap=De("sum",["typed","config","add","numeric"],(function(e){var t=e.typed,r=e.config,n=e.add,i=e.numeric;return t("sum",{"Array | Matrix":a,"Array | Matrix, number | BigNumber":function(e,t){try{return Wt(e,t,n)}catch(e){throw Oo(e,"sum")}},"...":function(e){if(Gt(e))throw new TypeError("Scalar values expected in function sum");return a(e)}});function a(e){var t;return Vt(e,(function(e){try{t=void 0===t?e:n(t,e)}catch(t){throw Oo(t,"sum",e)}})),void 0===t&&(t=i(0,r.number)),"string"==typeof t&&(t=i(t,r.number)),t}})),op="cumsum",up=De(op,["typed","add","unaryPlus"],(function(e){var t=e.typed,r=e.add,n=e.unaryPlus;return t(op,{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(Gt(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 Oo(e,op)}}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=ht(e);if(t<0||t>=r.length)throw new mt(t,r.length);try{return u(e,t)}catch(e){throw Oo(e,op)}}function u(e,t){var r,n,i;if(t<=0){var o=e[0][0];if(Array.isArray(o)){for(i=Ht(e),n=[],r=0;r<i.length;r++)n[r]=u(i[r],t-1);return n}return a(e)}for(n=[],r=0;r<e.length;r++)n[r]=u(e[r],t-1);return n}})),sp="mean",cp=De(sp,["typed","add","divide"],(function(e){var t=e.typed,r=e.add,n=e.divide;return t(sp,{"Array | Matrix":i,"Array | Matrix, number | BigNumber":function(e,t){try{var i=Wt(e,t,r),a=Array.isArray(e)?ht(e):e.size();return n(i,a[t])}catch(e){throw Oo(e,"mean")}},"...":function(e){if(Gt(e))throw new TypeError("Scalar values expected in function mean");return i(e)}});function i(e){var t,i=0;if(Vt(e,(function(e){try{t=void 0===t?e:r(t,e),i++}catch(t){throw Oo(t,"mean",e)}})),0===i)throw new Error("Cannot calculate the mean of an empty array");return n(t,i)}})),fp="median",lp=De(fp,["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=Ct(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 s(o,n)}var f=a(e,(t-1)/2);return u(f)}catch(e){throw Oo(e,"median")}}var u=t({"number | BigNumber | Complex | Unit":function(e){return e}}),s=t({"number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit":function(e,t){return n(r(e,t),2)}});return t(fp,{"Array | Matrix":o,"Array | Matrix, number | BigNumber":function(e,t){throw new Error("median(A, dim) is not yet supported")},"...":function(e){if(Gt(e))throw new TypeError("Scalar values expected in function median");return o(e)}})})),pp=De("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=Ct(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")):Oo(e,"mad")}}})),mp="unbiased",hp="variance",dp=De(hp,["typed","add","subtract","multiply","divide","apply","isNaN"],(function(e){var t=e.typed,r=e.add,n=e.subtract,i=e.multiply,o=e.divide,u=e.apply,s=e.isNaN;return t(hp,{"Array | Matrix":function(e){return c(e,mp)},"Array | Matrix, string":c,"Array | Matrix, number | BigNumber":function(e,t){return f(e,t,mp)},"Array | Matrix, number | BigNumber, string":f,"...":function(e){return c(e,mp)}});function c(e,t){var u,c=0;if(0===e.length)throw new SyntaxError("Function variance requires one or more parameters (0 provided)");if(Vt(e,(function(e){try{u=void 0===u?e:r(u,e),c++}catch(t){throw Oo(t,"variance",e)}})),0===c)throw new Error("Cannot calculate variance of an empty array");var f=o(u,c);if(u=void 0,Vt(e,(function(e){var t=n(e,f);u=void 0===u?i(t,t):r(u,i(t,t))})),s(u))return u;switch(t){case"uncorrected":return o(u,c);case"biased":return o(u,c+1);case"unbiased":var l=a(u)?u.mul(0):0;return 1===c?l:o(u,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 u(e,t,(function(e){return c(e,r)}))}catch(e){throw Oo(e,"variance")}}})),vp=De("quantileSeq",["typed","add","multiply","partitionSelect","compare"],(function(e){var t=e.typed,r=e.add,n=e.multiply,o=e.partitionSelect,u=e.compare;function s(e,t,a){var s=Ct(e),f=s.length;if(0===f)throw new Error("Cannot calculate quantile of an empty sequence");if(i(t)){var l=t*(f-1),p=l%1;if(0===p){var m=a?s[l]:o(s,l);return c(m),m}var h,d,v=Math.floor(l);if(a)h=s[v],d=s[v+1];else{d=o(s,v+1),h=s[v];for(var g=0;g<v;++g)u(s[g],h)>0&&(h=s[g])}return c(h),c(d),r(n(h,1-p),n(d,p))}var y=t.times(f-1);if(y.isInteger()){y=y.toNumber();var x=a?s[y]:o(s,y);return c(x),x}var b,w,N=y.floor(),D=y.minus(N),E=N.toNumber();if(a)b=s[E],w=s[E+1];else{w=o(s,E+1),b=s[E];for(var A=0;A<E;++A)u(s[A],b)>0&&(b=s[A])}c(b),c(w);var S=new D.constructor(1);return r(n(b,S.minus(D)),n(w,D))}var c=t({"number | BigNumber | Unit":function(e){return e}});return function(e,t,r){var n,o,u;if(arguments.length<2||arguments.length>3)throw new SyntaxError("Function quantileSeq requires two or three parameters");if(p(e)){if("boolean"==typeof(r=r||!1)){if(o=e.valueOf(),i(t)){if(t<0)throw new Error("N/prob must be non-negative");if(t<=1)return s(o,t,r);if(t>1){if(!G(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]=s(o,++f/c,r);return n}}if(a(t)){var l=t.constructor;if(t.isNegative())throw new Error("N/prob must be non-negative");if(u=new l(1),t.lte(u))return new l(s(o,t,r));if(t.gt(u)){if(!t.isInteger())throw new Error("N must be a positive integer");var m=t.toNumber();if(m>4294967295)throw new Error("N must be less than or equal to 2^32-1, as that is the maximum length of an Array");var h=new l(m+1);n=new Array(m);for(var d=0;d<m;)n[d]=new l(s(o,new l(++d).div(h),r));return n}}if(Array.isArray(t)){n=new Array(t.length);for(var v=0;v<n.length;++v){var g=t[v];if(i(g)){if(g<0||g>1)throw new Error("Probability must be between 0 and 1, inclusive")}else{if(!a(g))throw new TypeError("Unexpected type of argument in function quantileSeq");if(u=new g.constructor(1),g.isNegative()||g.gt(u))throw new Error("Probability must be between 0 and 1, inclusive")}n[v]=s(o,g,r)}return n}throw new TypeError("Unexpected type of argument in function quantileSeq")}throw new TypeError("Unexpected type of argument in function quantileSeq")}throw new TypeError("Unexpected type of argument in function quantileSeq")}})),gp=De("std",["typed","map","sqrt","variance"],(function(e){var t=e.typed,r=e.map,n=e.sqrt,i=e.variance;return t("std",{"Array | Matrix":a,"Array | Matrix, string":a,"Array | Matrix, number | BigNumber":a,"Array | Matrix, number | BigNumber, string":a,"...":function(e){return a(e)}});function a(e,t){if(0===e.length)throw new SyntaxError("Function std requires one or more parameters (0 provided)");try{var a=i.apply(null,arguments);return p(a)?r(a,n):n(a)}catch(e){throw e instanceof TypeError&&-1!==e.message.indexOf(" variance")?new TypeError(e.message.replace(" variance"," std")):e}}}));function yp(e,t){if(t<e)return 1;if(t===e)return t;var r=t+e>>1;return yp(e,r)*yp(r+1,t)}function xp(e,t){if(!G(e)||e<0)throw new TypeError("Positive integer value expected in function combinations");if(!G(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/=yp(i,a)),n}xp.signature="number, number";var bp="combinations",wp=De(bp,["typed"],(function(e){return(0,e.typed)(bp,{"number, number":xp,"BigNumber, BigNumber":function(e,t){var r,n,i=e.constructor,a=e.minus(t),o=new i(1);if(!Np(e)||!Np(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 Np(e){return e.isInteger()&&e.gte(0)}var Dp="combinationsWithRep",Ep=De(Dp,["typed"],(function(e){return(0,e.typed)(Dp,{"number, number":function(e,t){if(!G(e)||e<0)throw new TypeError("Positive integer value expected in function combinationsWithRep");if(!G(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?yp(e,e+t-1)/yp(1,t):yp(t+1,e+t-1)/yp(1,e-1)},"BigNumber, BigNumber":function(e,t){var r,n,i=new(0,e.constructor)(1),a=e.minus(i);if(!Ap(e)||!Ap(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 Ap(e){return e.isInteger()&&e.gte(0)}function Sp(e){var t;if(G(e))return e<=0?isFinite(e)?1/0:NaN:e>171?1/0:yp(1,e-1);if(e<.5)return Math.PI/(Math.sin(Math.PI*e)*Sp(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=Mp[0];for(var o=1;o<Mp.length;++o)t+=Mp[o]/(e+o);var u=e+Cp+.5;return Math.sqrt(2*Math.PI)*Math.pow(u,e+.5)*Math.exp(-u)*t}Sp.signature="number";var Cp=4.7421875,Mp=[.9999999999999971,57.15623566586292,-59.59796035547549,14.136097974741746,-.4919138160976202,3399464998481189e-20,4652362892704858e-20,-9837447530487956e-20,.0001580887032249125,-.00021026444172410488,.00021743961811521265,-.0001643181065367639,8441822398385275e-20,-26190838401581408e-21,36899182659531625e-22],Fp=.9189385332046728,Op=[1.000000000190015,76.18009172947146,-86.50532032941678,24.01409824083091,-1.231739572450155,.001208650973866179,-5395239384953e-18];function Tp(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))-Tp(1-e);for(var t=5+(e-=1)+.5,r=Op[0],n=6;n>=1;n--)r+=Op[n]/(e+n);return Fp+(e+.5)*Math.log(t)-t+Math.log(r)}Tp.signature="number";var Bp="gamma",_p=De(Bp,["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(Bp,{number:Sp,Complex:function e(t){if(0===t.im)return Sp(t.re);if(t.re<.5){var r=new i(1-t.re,-t.im),n=new i(Math.PI*t.re,Math.PI*t.im);return new i(Math.PI).div(n.sin()).div(e(r))}t=new i(t.re-1,t.im);for(var a=new i(Mp[0],0),o=1;o<Mp.length;++o){var u=new i(Mp[o],0);a=a.add(u.div(t.add(o)))}var s=new i(t.re+Cp+.5,t.im),c=Math.sqrt(2*Math.PI),f=s.pow(t.add(.5)),l=s.neg().exp();return a.mul(c).mul(f).mul(l)},BigNumber:function(e){if(e.isInteger())return e.isNegative()||e.isZero()?new n(1/0):a(e.minus(1));if(!e.isFinite())return new n(e.isNegative()?NaN:1/0);throw new Error("Integer BigNumber expected")}});function a(e){if(e<8)return new n([1,1,2,6,24,120,720,5040][e]);var t=r.precision+(0|Math.log(e.toNumber())),i=n.clone({precision:t});if(e%2==1)return e.times(a(new n(e-1)));for(var o=e,u=new i(e),s=e.toNumber();o>2;)s+=o-=2,u=u.times(s);return new n(u.toPrecision(n.precision))}})),kp="lgamma",Ip=De(kp,["Complex","typed"],(function(e){var t=e.Complex,r=e.typed,n=[-.029550653594771242,.00641025641025641,-.0019175269175269176,.0008417508417508417,-.0005952380952380953,.0007936507936507937,-.002777777777777778,.08333333333333333];return r(kp,{number:Tp,Complex:function e(r){if(r.isNaN())return new t(NaN,NaN);if(0===r.im)return new t(Tp(r.re),0);if(r.re>=7||Math.abs(r.im)>=7)return i(r);if(r.re<=.1){var n=(s=6.283185307179586,(!0^((c=r.im)>0||!(c<0)&&1/c==1/0)?-s:s)*Math.floor(.5*r.re+.25)),o=r.mul(Math.PI).sin().log(),u=e(new t(1-r.re,-r.im));return new t(1.1447298858494002,n).sub(o).sub(u)}return r.im>=0?a(r):a(r.conjugate()).conjugate();var s,c},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(Fp),i=new t(1,0).div(e),a=i.div(e),o=n[0],u=n[1],s=2*a.re,c=a.re*a.re+a.im*a.im,f=2;f<8;f++){var l=u;u=-c*o+n[f],o=s*o+l}var p=i.mul(a.mul(o).add(u));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))}})),Rp="factorial",zp=De(Rp,["typed","gamma"],(function(e){var t=e.typed,r=e.gamma;return t(Rp,{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":t.referToSelf((function(e){return function(t){return Zt(t,e)}}))})})),qp="kldivergence",jp=De(qp,["typed","matrix","divide","sum","multiply","map","dotDivide","log","isNumeric"],(function(e){var t=e.typed,r=e.matrix,n=e.divide,i=e.sum,a=e.multiply,o=e.map,u=e.dotDivide,s=e.log,c=e.isNumeric;return t(qp,{"Array, Array":function(e,t){return f(r(e),r(t))},"Matrix, Array":function(e,t){return f(e,r(t))},"Array, Matrix":function(e,t){return f(r(e),t)},"Matrix, Matrix":function(e,t){return f(e,t)}});function f(e,t){var r=t.size().length,f=e.size().length;if(r>1)throw new Error("first object must be one dimensional");if(f>1)throw new Error("second object must be one dimensional");if(r!==f)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 l=n(e,i(e)),p=n(t,i(t)),m=i(a(l,o(u(l,p),(function(e){return s(e)}))));return c(m)?m:Number.NaN}})),Pp="multinomial",Lp=De(Pp,["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,u=e.isPositive;return t(Pp,{"Array | Matrix":function(e){var t=0,s=1;return Vt(e,(function(e){if(!o(e)||!u(e))throw new TypeError("Positive integer value expected in function multinomial");t=r(t,e),s=i(s,a(e))})),n(a(t),s)}})})),Up="permutations",$p=De(Up,["typed","factorial"],(function(e){var t=e.typed,r=e.factorial;return t(Up,{"number | BigNumber":r,"number, number":function(e,t){if(!G(e)||e<0)throw new TypeError("Positive integer value expected in function permutations");if(!G(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 yp(e-t+1,e)},"BigNumber, BigNumber":function(e,t){var r,n;if(!Hp(e)||!Hp(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 Hp(e){return e.isInteger()&&e.gte(0)}r(3843);var Gp=r(6377),Vp=Gp(Date.now());function Zp(e){var t,r;return t=null===(r=e)?Vp:Gp(String(r)),function(){return t()}}var Wp="pickRandom",Jp=De(Wp,["typed","config","?on"],(function(e){var t=e.typed,r=e.config,n=e.on,a=Zp(r.randomSeed);return n&&n("config",(function(e,t){e.randomSeed!==t.randomSeed&&(a=Zp(e.randomSeed))})),t(Wp,{"Array | Matrix":function(e){return o(e,{})},"Array | Matrix, Object":function(e,t){return o(e,t)},"Array | Matrix, number":function(e,t){return o(e,{number:t})},"Array | Matrix, Array | Matrix":function(e,t){return o(e,{weights:t})},"Array | Matrix, Array | Matrix, number":function(e,t,r){return o(e,{number:r,weights:t})},"Array | Matrix, number, Array | Matrix":function(e,t,r){return o(e,{number:t,weights:r})}});function o(e,t){var r=t.number,n=t.weights,o=t.elementWise,u=void 0===o||o,s=void 0===r;s&&(r=1);var c=l(e)?e.create:l(n)?n.create:null;e=e.valueOf(),n&&(n=n.valueOf()),!0===u&&(e=Ct(e),n=Ct(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 p=0,m=n.length;p<m;p++){if(!i(n[p])||n[p]<0)throw new Error("Weights must be an array of positive numbers");f+=n[p]}}for(var h,d=e.length,v=[];v.length<r;){if(void 0===n)h=e[Math.floor(a()*d)];else for(var g=a()*f,y=0,x=e.length;y<x;y++)if((g-=n[y])<0){h=e[y];break}v.push(h)}return s?v[0]:c?c(v):v}}));function Yp(e,t){var r=[];if((e=e.slice(0)).length>1)for(var n=0,i=e.shift();n<i;n++)r.push(Yp(e,t));else for(var a=0,o=e.shift();a<o;a++)r.push(t());return r}var Xp="random",Qp=De(Xp,["typed","config","?on"],(function(e){var t=e.typed,r=e.config,n=e.on,i=Zp(r.randomSeed);return n&&n("config",(function(e,t){e.randomSeed!==t.randomSeed&&(i=Zp(e.randomSeed))})),t(Xp,{"":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=Yp(e.valueOf(),(function(){return o(t,r)}));return l(e)?e.create(n):n}function o(e,t){return e+i()*(t-e)}})),Kp="randomInt",em=De(Kp,["typed","config","?on"],(function(e){var t=e.typed,r=e.config,n=e.on,i=Zp(r.randomSeed);return n&&n("config",(function(e,t){e.randomSeed!==t.randomSeed&&(i=Zp(e.randomSeed))})),t(Kp,{"":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=Yp(e.valueOf(),(function(){return o(t,r)}));return l(e)?e.create(n):n}function o(e,t){return Math.floor(e+i()*(t-e))}})),tm="stirlingS2",rm=De(tm,["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),a=(e.divideScalar,e.pow,e.factorial,e.combinations,e.isNegative),o=e.isInteger,u=e.number,s=e.bignumber,c=e.larger,f=[],l=[];return t(tm,{"number | BigNumber, number | BigNumber":function(e,t){if(!o(e)||a(e)||!o(t)||a(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=!(i(e)&&i(t)),m=p?l:f,h=p?s:u,d=u(e),v=u(t);if(m[d]&&m[d].length>v)return m[d][v];for(var g=0;g<=d;++g)if(m[g]||(m[g]=[h(0===g?1:0)]),0!==g)for(var y=m[g],x=m[g-1],b=y.length;b<=g&&b<=v;++b)y[b]=b===g?1:r(n(h(b),x[b]),x[b-1]);return m[d][v]}})})),nm="bellNumbers",im=De(nm,["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(nm,{"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}})})),am="catalan",om=De(am,["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,u=e.isInteger;return t(am,{"number | BigNumber":function(e){if(!u(e)||o(e))throw new TypeError("Non-negative integer value expected in function catalan");return n(a(i(e,2),e),r(e,1))}})})),um="composition",sm=De(um,["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(um,{"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))}})})),cm="leafCount",fm=De(cm,["parse","typed"],(function(e){function t(e){var r=0;return e.forEach((function(e){r+=t(e)})),r||1}return e.parse,(0,e.typed)(cm,{Node:function(e){return t(e)}})}));function lm(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 pm(e){for(var t=1;t<arguments.length;t++){var r=null!=arguments[t]?arguments[t]:{};t%2?lm(Object(r),!0).forEach((function(t){ps(e,t,r[t])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(r)):lm(Object(r)).forEach((function(t){Object.defineProperty(e,t,Object.getOwnPropertyDescriptor(r,t))}))}return e}r(2481);var mm=De("simplifyUtil",["FunctionNode","OperatorNode","SymbolNode"],(function(e){var t=e.FunctionNode,r=e.OperatorNode,n=e.SymbolNode,i=!0,a=!1,o="defaultF",u={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]:u,n=o;if("string"==typeof e?n=e:q(e)?n=e.fn.toString():k(e)?n=e.name:j(e)&&(n="paren"),we(r,n)){var i=r[n];if(we(i,t))return i[t];if(we(u,n))return u[n][t]}if(we(r,o)){var a=r.defaultF;return we(a,t)?a[t]:u.defaultF[t]}if(we(u,n)){var s=u[n];if(we(s,t))return s[t]}return u.defaultF[t]}function c(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:u;return s(e,"associative",t)}function f(e,t){var r,n=[];return c(e,t)?(r=e.op,function e(t){for(var i=0;i<t.args.length;i++){var a=t.args[i];q(a)&&r===a.op?e(a):n.push(a)}}(e),n):e.args}function l(e){return q(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:l,hasProperty:s,isCommutative:function(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:u;return s(e,"commutative",t)},isAssociative:c,mergeContext:function(e,t){var r=pm({},e);for(var n in t)we(e,n)?r[n]=pm(pm({},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=f(t,r);for(var n=0;n<t.args.length;n++)e(t.args[n],r)},allChildren:f,unflattenr:function e(t,r){if(t.args&&0!==t.args.length){for(var n=l(t),i=t.args.length,a=0;a<i;a++)e(t.args[a],r);if(i>2&&c(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=l(t),i=t.args.length,a=0;a<i;a++)e(t.args[a],r);if(i>2&&c(t,r)){for(var o=t.args.shift();t.args.length>0;)o=n([o,t.args.shift()]);t.args=o.args}}},defaultContext:u,realContext:{divide:{total:a},log:{total:a}},positiveContext:{subtract:{total:a},abs:{trivial:i},log:{total:i}}}})),hm=De("simplify",["config","typed","parse","add","subtract","multiply","divide","pow","isZero","equal","resolve","simplifyConstant","simplifyCore","?fraction","?bignumber","mathWithTransform","matrix","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","ParenthesisNode","SymbolNode"],(function(e){e.config;var r=e.typed,n=e.parse,i=(e.add,e.subtract,e.multiply,e.divide,e.pow,e.isZero,e.equal),a=e.resolve,o=e.simplifyConstant,u=e.simplifyCore,s=(e.fraction,e.bignumber,e.mathWithTransform,e.matrix,e.AccessorNode),c=e.ArrayNode,f=e.ConstantNode,l=e.FunctionNode,p=e.IndexNode,m=e.ObjectNode,h=e.OperatorNode,d=e.ParenthesisNode,v=e.SymbolNode,g=mm({FunctionNode:l,OperatorNode:h,SymbolNode:v}),y=g.hasProperty,x=g.isCommutative,b=g.isAssociative,w=g.mergeContext,N=g.flatten,D=g.unflattenr,E=g.unflattenl,A=g.createMakeNodeFunction,S=g.defaultContext,C=g.realContext,M=g.positiveContext;r.addConversion({from:"Object",to:"Map",convert:Pe});var F=r("simplify",{Node:R,"Node, Map":function(e,t){return R(e,!1,t)},"Node, Map, Object":function(e,t,r){return R(e,!1,t,r)},"Node, Array":R,"Node, Array, Map":R,"Node, Array, Map, Object":R});function O(e){return e.transform((function(e,t,r){return j(e)?O(e.content):e}))}r.removeConversion({from:"Object",to:"Map",convert:Pe}),F.defaultContext=S,F.realContext=C,F.positiveContext=M;var B={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 _(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=O(n(r.l)),r.r=O(n(r.r));for(var a=0,o=["imposeContext","repeat","assuming"];a<o.length;a++){var u=o[a];u in e&&(r[u]=e[u])}if(e.evaluate&&(r.evaluate=n(e.evaluate)),b(r.l,t)){var s=A(r.l),c=new v("_p"+I++);r.expanded={},r.expanded.l=s([r.l.clone(),c]),N(r.expanded.l,t),D(r.expanded.l,t),r.expanded.r=s([r.r,c])}return r}function k(e,r){for(var n=[],i=0;i<e.length;i++){var a=e[i],o=void 0,u=t(a);switch(u){case"string":a={s:a};case"object":o=_(a,r);break;case"function":o=a;break;default:throw TypeError("Unsupported type of rule: "+u)}n.push(o)}return n}F.rules=[u,{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}}},o,{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}}},o,{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 I=0;function R(e,t){var r=arguments.length>2&&void 0!==arguments[2]?arguments[2]:je(),n=arguments.length>3&&void 0!==arguments[3]?arguments[3]:{},i=n.consoleDebug;t=k(t||F.rules,n.context);for(var o=a(e,r),u={},s=(o=O(o)).toString({parenthesis:"all"});!u[s];){u[s]=!0,I=0;var c=s;i&&console.log("Working on: ",s);for(var f=0;f<t.length;f++){var l="";if("function"==typeof t[f]?(o=t[f](o,n),i&&(l=t[f].name)):(N(o,n.context),o=q(o,t[f],n.context),i&&(l="".concat(t[f].l.toString()," -> ").concat(t[f].r.toString()))),i){var p=o.toString({parenthesis:"all"});p!==c&&(console.log("Applying",l,"produced",p),c=p)}E(o,n.context)}s=o.toString({parenthesis:"all"})}return o}function z(e,t,r){var n=e;if(e)for(var i=0;i<e.length;++i){var a=q(e[i],t,r);a!==e[i]&&(n===e&&(n=e.slice()),n[i]=a)}return n}function q(e,t,r){if(t.assuming)for(var n in t.assuming)for(var i in t.assuming[n])if(y(n,i,r)!==t.assuming[n][i])return e;var a=w(t.imposeContext,r),o=e;if(o instanceof h||o instanceof l){var u=z(o.args,t,r);u!==o.args&&((o=o.clone()).args=u)}else if(o instanceof d){if(o.content){var f=q(o.content,t,r);f!==o.content&&(o=new d(f))}}else if(o instanceof c){var v=z(o.items,t,r);v!==o.items&&(o=new c(v))}else if(o instanceof s){var g=o.object;o.object&&(g=q(o.object,t,r));var x=o.index;o.index&&(x=q(o.index,t,r)),g===o.object&&x===o.index||(o=new s(g,x))}else if(o instanceof p){var b=z(o.dimensions,t,r);b!==o.dimensions&&(o=new p(b))}else if(o instanceof m){var N=!1,D={};for(var E in o.properties)D[E]=q(o.properties[E],t,r),D[E]!==o.properties[E]&&(N=!0);N&&(o=new m(D))}var A=t.r,S=U(t.l,o,a)[0];if(!S&&t.expanded&&(A=t.expanded.r,S=U(t.expanded.l,o,a)[0]),S){var C=o.implicit;o=A.clone(),C&&"implicit"in A&&(o.implicit=!0),o=o.transform((function(e){return e.isSymbolNode&&we(S.placeholders,e.name)?S.placeholders[e.name].clone():e}))}return t.repeat&&o!==e&&(o=q(o,t,r)),o}function P(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(we(e.placeholders,n)&&(r.placeholders[n]=e.placeholders[n],we(t.placeholders,n)&&!$(e.placeholders[n],t.placeholders[n])))return null;for(var i in t.placeholders)we(t.placeholders,i)&&(r.placeholders[i]=t.placeholders[i]);return r}function L(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=P(e[i],t[a]))&&n.push(r);return n}function U(e,t,r,n){var a=[{placeholders:{}}];if(e instanceof h&&t instanceof h||e instanceof l&&t instanceof l){if(e instanceof h){if(e.op!==t.op||e.fn!==t.fn)return[]}else if(e instanceof l&&e.name!==t.name)return[];if(!(1===t.args.length&&1===e.args.length||!b(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=A(e);if(x(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 u=1;u<e.args.length;u++){var s=e.args[0];u>1&&(s=a(e.args.slice(0,u))),r=1===(n=e.args.slice(u)).length?n[0]:a(n),i.push(a([s,r]))}return i}(t,r),u=[],s=0;s<o.length;s++){var c=U(e,o[s],r,!0);u=u.concat(c)}return u}if(e.args.length>2)throw Error("Unexpected non-binary associative function: "+e.toString());return[]}for(var p=[],m=0;m<e.args.length;m++){var d=U(e.args[m],t.args[m],r);if(0===d.length)break;p.push(d)}if(p.length!==e.args.length){if(!x(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 g=U(e.args[0],t.args[1],r);if(0===g.length)return[];var y=U(e.args[1],t.args[0],r);if(0===y.length)return[];p=[g,y]}a=function(e){if(0===e.length)return e;for(var t=e.reduce(L),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}(p)}else if(e instanceof v){if(0===e.name.length)throw new Error("Symbol in rule has 0 length...!?");if(B[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(T(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 f))return[];a[0].placeholders[e.name]=t}}else{if(!(e instanceof f))return[];if(!i(e.value,t.value))return[]}return a}function $(e,t){if(e instanceof f&&t instanceof f){if(!i(e.value,t.value))return!1}else if(e instanceof v&&t instanceof v){if(e.name!==t.name)return!1}else{if(!(e instanceof h&&t instanceof h||e instanceof l&&t instanceof l))return!1;if(e instanceof h){if(e.op!==t.op||e.fn!==t.fn)return!1}else if(e instanceof l&&e.name!==t.name)return!1;if(e.args.length!==t.args.length)return!1;for(var r=0;r<e.args.length;r++)if(!$(e.args[r],t.args[r]))return!1}return!0}return F}));function dm(e,t){var r="undefined"!=typeof Symbol&&e[Symbol.iterator]||e["@@iterator"];if(!r){if(Array.isArray(e)||(r=function(e,t){if(e){if("string"==typeof e)return vm(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)?vm(e,t):void 0}}(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,u=!1;return{s:function(){r=r.call(e)},n:function(){var e=r.next();return o=e.done,e},e:function(e){u=!0,a=e},f:function(){try{o||null==r.return||r.return()}finally{if(u)throw a}}}}function vm(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 gm=De("simplifyConstant",["typed","parse","config","mathWithTransform","matrix","?fraction","?bignumber","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","SymbolNode"],(function(e){var r=e.typed,n=(e.parse,e.config),i=e.mathWithTransform,a=e.matrix,o=e.fraction,s=e.bignumber,c=e.AccessorNode,f=e.ArrayNode,p=e.ConstantNode,m=e.FunctionNode,h=e.IndexNode,d=e.ObjectNode,v=e.OperatorNode,g=e.SymbolNode,y=mm({FunctionNode:m,OperatorNode:v,SymbolNode:g}),x=y.isCommutative,b=y.isAssociative,w=y.allChildren,N=y.createMakeNodeFunction,D=r("simplifyConstant",{Node:function(e){return M(k(e,{}))},"Node, Object":function(e,t){return M(k(e,t))}});function E(e){return u(e)?e.valueOf():e instanceof Array?e.map(E):l(e)?a(E(e.valueOf())):e}function A(e,t,r){try{return i[e].apply(null,t)}catch(n){return t=t.map(E),O(i[e].apply(null,t),r)}}var S=r({Fraction:function(e){var t,r=e.s*e.n;return t=r<0?new v("-","unaryMinus",[new p(-r)]):new p(r),1===e.d?t:new v("/","divide",[t,new p(e.d)])},number:function(e){return e<0?B(new p(-e)):new p(e)},BigNumber:function(e){return e<0?B(new p(-e)):new p(e)},Complex:function(e){throw new Error("Cannot convert Complex number to Node")},string:function(e){return new p(e)},Matrix:function(e){return new f(e.valueOf().map((function(e){return S(e)})))}});function M(e){return R(e)?e:S(e)}function F(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 O=r({"string, Object":function(e,t){return"BigNumber"===n.number?(void 0===s&&La(),s(e)):"Fraction"===n.number?(void 0===o&&Ua(),o(e)):F(parseFloat(e),t)},"Fraction, Object":function(e,t){return e},"BigNumber, Object":function(e,t){return e},"number, Object":function(e,t){return F(e,t)},"Complex, Object":function(e,t){return 0!==e.im?e:F(e.re,t)},"Matrix, Object":function(e,t){return a(F(e.valueOf()))},"Array, Object":function(e,t){return e.map(F)}});function B(e){return new v("-","unaryMinus",[e])}function _(e,t,r,n){return t.reduce((function(t,i){if(R(t)||R(i))R(t)?R(i)||(i=S(i)):t=S(t);else{try{return A(e,[t,i],n)}catch(e){}t=S(t),i=S(i)}return r([t,i])}))}function k(e,r){switch(e.type){case"SymbolNode":return e;case"ConstantNode":switch(t(e.value)){case"number":return O(e.value,r);case"string":return e.value;default:if(!isNaN(e.value))return O(e.value,r)}return e;case"FunctionNode":if(i[e.name]&&i[e.name].rawArgs)return e;if(-1===["add","multiply"].indexOf(e.name)){var n=e.args.map((function(e){return k(e,r)}));if(!n.some(R))try{return A(e.name,n,r)}catch(e){}if("size"===e.name&&1===n.length&&C(n[0])){for(var o=[],u=n[0];C(u);)o.push(u.items.length),u=u.items[0];return a(o)}return new m(e.name,n.map(M))}case"OperatorNode":var s,v,g=e.fn.toString(),y=N(e);if(q(e)&&e.isUnary())v=R((s=[k(e.args[0],r)])[0])?y(s):A(g,s,r);else if(b(e,r.context))if(s=(s=w(e,r.context)).map((function(e){return k(e,r)})),x(g,r.context)){for(var E=[],S=[],F=0;F<s.length;F++)R(s[F])?S.push(s[F]):E.push(s[F]);E.length>1?(v=_(g,E,y,r),S.unshift(v),v=_(g,S,y,r)):v=_(g,s,y,r)}else v=_(g,s,y,r);else v=_(g,s=e.args.map((function(e){return k(e,r)})),y,r);return v;case"ParenthesisNode":return k(e.content,r);case"AccessorNode":return function(e,t,r){if(!I(t))return new c(M(e),M(t));if(C(e)||l(e)){for(var n=Array.from(t.dimensions);n.length>0;)if(T(n[0])&&"string"!=typeof n[0].value){var i=O(n.shift().value,r);C(e)?e=e.items[i-1]:(e=e.valueOf()[i-1])instanceof Array&&(e=a(e))}else{if(!(n.length>1&&T(n[1])&&"string"!=typeof n[1].value))break;var o,u=O(n[1].value,r),s=[],m=C(e)?e.items:e.valueOf(),d=dm(m);try{for(d.s();!(o=d.n()).done;){var v=o.value;if(C(v))s.push(v.items[u-1]);else{if(!l(e))break;s.push(v[u-1])}}}catch(e){d.e(e)}finally{d.f()}if(s.length!==m.length)break;e=C(e)?new f(s):a(s),n.splice(1,1)}return n.length===t.dimensions.length?new c(M(e),t):n.length>0?(t=new h(n),new c(M(e),t)):e}if(z(e)&&1===t.dimensions.length&&T(t.dimensions[0])){var g=t.dimensions[0].value;return g in e.properties?e.properties[g]:new p}return new c(M(e),t)}(k(e.object,r),k(e.index,r),r);case"ArrayNode":var B=e.items.map((function(e){return k(e,r)}));return B.some(R)?new f(B.map(M)):a(B);case"IndexNode":return new h(e.dimensions.map((function(e){return D(e,r)})));case"ObjectNode":var j={};for(var P in e.properties)j[P]=D(e.properties[P],r);return new d(j);default:throw new Error("Unimplemented node type in simplifyConstant: ".concat(e.type))}}return D})),ym="simplifyCore",xm=De(ym,["typed","parse","equal","isZero","add","subtract","multiply","divide","pow","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","ParenthesisNode","SymbolNode"],(function(e){var t=e.typed,r=(e.parse,e.equal),n=e.isZero,i=(e.add,e.subtract,e.multiply,e.divide,e.pow,e.AccessorNode),a=e.ArrayNode,o=e.ConstantNode,u=e.FunctionNode,s=e.IndexNode,c=e.ObjectNode,f=e.OperatorNode,l=(e.ParenthesisNode,e.SymbolNode),p=new o(0),m=new o(1),h=new o(!0),d=new o(!1);function v(e){return q(e)&&["and","not","or"].includes(e.op)}var g=mm({FunctionNode:u,OperatorNode:f,SymbolNode:l}),y=g.hasProperty,x=g.isCommutative;function b(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{},o=t?t.context:void 0;if(y(e,"trivial",o)){if(k(e)&&1===e.args.length)return b(e.args[0],t);var l=!1,g=0;if(e.forEach((function(e){1==++g&&(l=b(e,t))})),1===g)return l}var w=e;if(k(w)){var N=Sf(w.name);if(!N)return new u(b(w.fn),w.args.map((function(e){return b(e,t)})));if(w.args.length>2&&y(w,"associative",o))for(;w.args.length>2;){var D=w.args.pop(),E=w.args.pop();w.args.push(new f(N,w.name,[D,E]))}w=new f(N,w.name,w.args)}if(q(w)&&w.isUnary()){var A=b(w.args[0],t);if("~"===w.op&&q(A)&&A.isUnary()&&"~"===A.op)return A.args[0];if("not"===w.op&&q(A)&&A.isUnary()&&"not"===A.op&&v(A.args[0]))return A.args[0];var M=!0;if("-"===w.op&&q(A)&&(A.isBinary()&&"subtract"===A.fn&&(w=new f("-","subtract",[A.args[1],A.args[0]]),M=!1),A.isUnary()&&"-"===A.op))return A.args[0];if(M)return new f(w.op,w.fn,[A])}if(q(w)&&w.isBinary()){var F=b(w.args[0],t),O=b(w.args[1],t);if("+"===w.op){if(T(F)&&n(F.value))return O;if(T(O)&&n(O.value))return F;q(O)&&O.isUnary()&&"-"===O.op&&(O=O.args[0],w=new f("-","subtract",[F,O]))}if("-"===w.op)return q(O)&&O.isUnary()&&"-"===O.op?b(new f("+","add",[F,O.args[0]]),t):T(F)&&n(F.value)?b(new f("-","unaryMinus",[O])):T(O)&&n(O.value)?F:new f(w.op,w.fn,[F,O]);if("*"===w.op){if(T(F)){if(n(F.value))return p;if(r(F.value,1))return O}if(T(O)){if(n(O.value))return p;if(r(O.value,1))return F;if(x(w,o))return new f(w.op,w.fn,[O,F],w.implicit)}return new f(w.op,w.fn,[F,O],w.implicit)}if("/"===w.op)return T(F)&&n(F.value)?p:T(O)&&r(O.value,1)?F:new f(w.op,w.fn,[F,O]);if("^"===w.op&&T(O)){if(n(O.value))return m;if(r(O.value,1))return F}if("and"===w.op){if(T(F)){if(!F.value)return d;if(v(O))return O}if(T(O)){if(!O.value)return d;if(v(F))return F}}if("or"===w.op){if(T(F)){if(F.value)return h;if(v(O))return O}if(T(O)){if(O.value)return h;if(v(F))return F}}return new f(w.op,w.fn,[F,O])}if(q(w))return new f(w.op,w.fn,w.args.map((function(e){return b(e,t)})));if(C(w))return new a(w.items.map((function(e){return b(e,t)})));if(S(w))return new i(b(w.object,t),b(w.index,t));if(I(w))return new s(w.dimensions.map((function(e){return b(e,t)})));if(z(w)){var B={};for(var _ in w.properties)B[_]=b(w.properties[_],t);return new c(B)}return w}return t(ym,{Node:b,"Node,Object":b})})),bm=De("resolve",["typed","parse","ConstantNode","FunctionNode","OperatorNode","ParenthesisNode"],(function(e){var t=e.typed,r=e.parse,n=e.ConstantNode,i=e.FunctionNode,a=e.OperatorNode,o=e.ParenthesisNode;function u(e,t){var s=arguments.length>2&&void 0!==arguments[2]?arguments[2]:new Set;if(!t)return e;if(L(e)){if(s.has(e.name)){var c=Array.from(s).join(", ");throw new ReferenceError("recursive loop of variable definitions among {".concat(c,"}"))}var f=t.get(e.name);if(R(f)){var l=new Set(s);return l.add(e.name),u(f,t,l)}return"number"==typeof f?r(String(f)):void 0!==f?new n(f):e}if(q(e)){var p=e.args.map((function(e){return u(e,t,s)}));return new a(e.op,e.fn,p,e.implicit)}if(j(e))return new o(u(e.content,t,s));if(k(e)){var m=e.args.map((function(e){return u(e,t,s)}));return new i(e.name,m)}return e.map((function(e){return u(e,t,s)}))}return t("resolve",{Node:u,"Node, Map | null | undefined":u,"Node, Object":function(e,t){return u(e,Pe(t))},"Array | Matrix":t.referToSelf((function(e){return function(t){return t.map((function(t){return e(t)}))}})),"Array | Matrix, null | undefined":t.referToSelf((function(e){return function(t){return t.map((function(t){return e(t)}))}})),"Array, Object":t.referTo("Array,Map",(function(e){return function(t,r){return e(t,Pe(r))}})),"Matrix, Object":t.referTo("Matrix,Map",(function(e){return function(t,r){return e(t,Pe(r))}})),"Array | Matrix, Map":t.referToSelf((function(e){return function(t,r){return t.map((function(t){return e(t,r)}))}}))})})),wm="symbolicEqual",Nm=De(wm,["parse","simplify","typed","OperatorNode"],(function(e){e.parse;var t=e.simplify,r=e.typed,n=e.OperatorNode;function i(e,r){var i=arguments.length>2&&void 0!==arguments[2]?arguments[2]:{},a=new n("-","subtract",[e,r]),o=t(a,{},i);return T(o)&&!o.value}return r(wm,{"Node, Node":i,"Node, Node, Object":i})})),Dm="derivative",Em=De(Dm,["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,u=e.numeric,s=e.ConstantNode,c=e.FunctionNode,f=e.OperatorNode,l=e.ParenthesisNode,p=e.SymbolNode;function m(e,t){var r=arguments.length>2&&void 0!==arguments[2]?arguments[2]:{simplify:!0},n={};v(n,e,t.name);var a=g(e,n);return r.simplify?i(a):a}t.addConversion({from:"identifier",to:"SymbolNode",convert:n});var h=t(Dm,{"Node, SymbolNode":m,"Node, SymbolNode, Object":m});t.removeConversion({from:"identifier",to:"SymbolNode",convert:n}),h._simplify=!0,h.toTex=function(e){return d.apply(null,e.args)};var d=t("_derivTex",{"Node, SymbolNode":function(e,t){return T(e)&&"string"===$(e.value)?d(n(e.value).toString(),t.toString(),1):d(e.toTex(),t.toString(),1)},"Node, ConstantNode":function(e,t){if("string"===$(t.value))return d(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 d(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]")}}),v=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 v(e,t.content,r)},"Object, FunctionAssignmentNode, string":function(e,t,r){return-1===t.params.indexOf(r)?(e[t]=!0,!0):v(e,t.expr,r)},"Object, FunctionNode | OperatorNode, string":function(e,t,r){if(t.args.length>0){for(var n=v(e,t.args[0],r),i=1;i<t.args.length;++i)n=v(e,t.args[i],r)&&n;if(n)return e[t]=!0,!0}return!1}}),g=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(g(e.content,t))},"FunctionAssignmentNode, Object":function(e,t){return void 0!==t[e]?y(0):g(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){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],u=!1,s=!1;switch(e.name){case"cbrt":u=!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)u=!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]],g(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]])]),u=!0;else if(2===e.args.length)return g(new f("/","divide",[new c("log",[o]),new c("log",[e.args[1]])]),t)}else n=o.clone(),u=!0;break;case"pow":return t[r]=t[e.args[1]],g(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":s=!0,n=new f("*","multiply",[e,new c("cot",[o.clone()])]);break;case"cot":s=!0,n=new f("^","pow",[new c("csc",[o.clone()]),y(2)]);break;case"asin":u=!0,n=new c("sqrt",[new f("-","subtract",[y(1),new f("^","pow",[o.clone(),y(2)])])]);break;case"acos":u=!0,s=!0,n=new c("sqrt",[new f("-","subtract",[y(1),new f("^","pow",[o.clone(),y(2)])])]);break;case"atan":u=!0,n=new f("+","add",[new f("^","pow",[o.clone(),y(2)]),y(1)]);break;case"asec":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"acsc":u=!0,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"acot":u=!0,s=!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":s=!0,n=new f("*","multiply",[e,new c("tanh",[o.clone()])]);break;case"csch":s=!0,n=new f("*","multiply",[e,new c("coth",[o.clone()])]);break;case"coth":s=!0,n=new f("^","pow",[new c("csch",[o.clone()]),y(2)]);break;case"asinh":u=!0,n=new c("sqrt",[new f("+","add",[new f("^","pow",[o.clone(),y(2)]),y(1)])]);break;case"acosh":u=!0,n=new c("sqrt",[new f("-","subtract",[new f("^","pow",[o.clone(),y(2)]),y(1)])]);break;case"atanh":u=!0,n=new f("-","subtract",[y(1),new f("^","pow",[o.clone(),y(2)])]);break;case"asech":u=!0,s=!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":u=!0,s=!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":u=!0,s=!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;default:throw new Error('Function "'+e.name+'" is not supported by derivative, or a wrong number of arguments is passed')}u?(i="/",a="divide"):(i="*",a="multiply");var l=g(o,t);return s&&(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 g(e,t)})));if("-"===e.op){if(e.isUnary())return new f(e.op,e.fn,[g(e.args[0],t)]);if(e.isBinary())return new f(e.op,e.fn,[g(e.args[0],t),g(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),u=r.concat(g(i,t));return new f("*","multiply",u)}return new f("+","add",e.args.map((function(r){return new f("*","multiply",e.args.map((function(e){return e===r?g(e,t):e.clone()})))})))}if("/"===e.op&&e.isBinary()){var s=e.args[0],l=e.args[1];return void 0!==t[l]?new f("/","divide",[g(s,t),l]):void 0!==t[s]?new f("*","multiply",[new f("-","unaryMinus",[s]),new f("/","divide",[g(l,t),new f("^","pow",[l.clone(),y(2)])])]):new f("/","divide",[new f("-","subtract",[new f("*","multiply",[g(s,t),l.clone()]),new f("*","multiply",[s.clone(),g(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 T(p)&&(o(p.value)||a(p.value,1))?y(0):new f("*","multiply",[e,new f("*","multiply",[new c("log",[p.clone()]),g(m.clone(),t)])]);if(void 0!==t[m]){if(T(m)){if(o(m.value))return y(0);if(a(m.value,1))return g(p,t)}var h=new f("^","pow",[p.clone(),new f("-","subtract",[m,y(1)])]);return new f("*","multiply",[m.clone(),new f("*","multiply",[g(p,t),h])])}return new f("*","multiply",[new f("^","pow",[p.clone(),m.clone()]),new f("+","add",[new f("*","multiply",[g(p,t),new f("/","divide",[m.clone(),p.clone()])]),new f("*","multiply",[g(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 s(u(e,t||r.number))}return h})),Am="rationalize",Sm=De(Am,["config","typed","equal","isZero","add","subtract","multiply","divide","pow","parse","simplifyConstant","simplifyCore","simplify","?bignumber","?fraction","mathWithTransform","matrix","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","SymbolNode","ParenthesisNode"],(function(e){e.config;var t=e.typed,r=(e.equal,e.isZero,e.add,e.subtract,e.multiply,e.divide,e.pow,e.parse,e.simplifyConstant),n=e.simplifyCore,i=e.simplify,a=(e.fraction,e.bignumber,e.mathWithTransform,e.matrix,e.AccessorNode,e.ArrayNode,e.ConstantNode),o=(e.FunctionNode,e.IndexNode,e.ObjectNode,e.OperatorNode),u=e.SymbolNode;function s(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{},r=arguments.length>2&&void 0!==arguments[2]&&arguments[2],n=f(),a=c(e,t,!0,n.firstRules),o=a.variables.length,u={exactFractions:!1},s={exactFractions:!0};if(e=a.expression,o>=1){var m,h;e=l(e);var d,v=!0,g=!1;for(e=i(e,n.firstRules,{},u);h=v?n.distrDivRules:n.sucDivRules,v=!v,(d=(e=i(e,h,{},s)).toString())!==m;)g=!0,m=d;g&&(e=i(e,n.firstRulesAgain,{},u)),e=i(e,n.finalRules,{},u)}var y=[],x={};return"OperatorNode"===e.type&&e.isBinary()&&"/"===e.op?(1===o&&(e.args[0]=p(e.args[0],y),e.args[1]=p(e.args[1])),r&&(x.numerator=e.args[0],x.denominator=e.args[1])):(1===o&&(e=p(e,y)),r&&(x.numerator=e,x.denominator=null)),r?(x.coefficients=y,x.variables=a.variables,x.expression=e,x):e}return e.ParenthesisNode,t(Am,{Node:s,"Node, boolean":function(e,t){return s(e,{},t)},"Node, Object":s,"Node, Object, boolean":s});function c(e,t,r,n){var a=[],o=i(e,n,t,{exactFractions:!1}),u="+-*"+((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||!G(parseFloat(t.args[1].value)))throw new Error("There is a non-integer exponent");e(t.args[0])}else{if(-1===u.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 i=t.name;-1===a.indexOf(i)&&a.push(i)}else if("ParenthesisNode"===r)e(t.content);else if("ConstantNode"!==r)throw new Error("type "+r+" is not allowed in polynomial expression")}(o);var s={};return s.expression=o,s.variables=a,s}function f(){var e=[n,{l:"n+n",r:"2*n"},{l:"n+-n",r:"0"},r,{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)"}],i=[{l:"(n1/(n2/n3))",r:"((n1*n3)/n2)"},{l:"(n1/n2/n3)",r:"(n1/(n2*n3))"}],a={};return a.firstRules=e.concat(t,i),a.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)"}],a.sucDivRules=i,a.firstRulesAgain=e.concat(t),a.finalRules=[n,{l:"n*-n",r:"-n^2"},{l:"n*n",r:"n^2"},r,{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))"}],a}function l(e,t,r){var n=e.type,i=arguments.length>1;if("OperatorNode"===n&&e.isBinary()){var u,s=!1;if("^"===e.op&&("ParenthesisNode"!==e.args[0].type&&"OperatorNode"!==e.args[0].type||"ConstantNode"!==e.args[1].type||(s=(u=parseFloat(e.args[1].value))>=2&&G(u))),s){if(u>2){var c=e.args[0],f=new o("^","pow",[e.args[0].cloneDeep(),new a(u-1)]);e=new o("*","multiply",[c,f])}else e=new o("*","multiply",[e.args[0],e.args[0].cloneDeep()]);i&&("content"===r?t.content=e:t.args[r]=e)}}if("ParenthesisNode"===n)l(e.content,e,"content");else if("ConstantNode"!==n&&"SymbolNode"!==n)for(var p=0;p<e.args.length;p++)l(e.args[p],e,p);if(!i)return e}function p(e,t){void 0===t&&(t=[]),t[0]=0;var r=0,n="";!function e(i,a,o){var u=i.type;if("FunctionNode"===u)throw new Error("There is an unsolved function call");if("OperatorNode"===u){if(-1==="+-*^".indexOf(i.op))throw new Error("Operator "+i.op+" invalid");if(null!==a){if(("unaryMinus"===i.fn||"pow"===i.fn)&&"add"!==a.fn&&"subtract"!==a.fn&&"multiply"!==a.fn)throw new Error("Invalid "+i.op+" placing");if(("subtract"===i.fn||"add"===i.fn||"multiply"===i.fn)&&"add"!==a.fn&&"subtract"!==a.fn)throw new Error("Invalid "+i.op+" placing");if(("subtract"===i.fn||"add"===i.fn||"unaryMinus"===i.fn)&&0!==o.noFil)throw new Error("Invalid "+i.op+" placing")}"^"!==i.op&&"*"!==i.op||(o.fire=i.op);for(var s=0;s<i.args.length;s++)"unaryMinus"===i.fn&&(o.oper="-"),"+"!==i.op&&"subtract"!==i.fn||(o.fire="",o.cte=1,o.oper=0===s?"+":i.op),o.noFil=s,e(i.args[s],i,o)}else if("SymbolNode"===u){if(i.name!==n&&""!==n)throw new Error("There is more than one variable");if(n=i.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||(r<1&&(t[1]=0),t[1]+=o.cte*("+"===o.oper?1:-1),r=Math.max(1,r))}else{if("ConstantNode"!==u)throw new Error("Type "+u+" is not allowed");var c=parseFloat(i.value);if(null===a)return void(t[0]=c);if("^"===a.op){if(1!==o.noFil)throw new Error("Constant cannot be powered");if(!G(c)||c<=0)throw new Error("Non-integer exponent is not allowed");for(var f=r+1;f<c;f++)t[f]=0;return c>r&&(t[c]=0),t[c]+=o.cte*("+"===o.oper?1:-1),void(r=Math.max(c,r))}o.cte=c,""===o.fire&&(t[0]+=o.cte*("+"===o.oper?1:-1))}}(e,null,{cte:1,oper:"+",fire:""});for(var i,s=!0,c=r=t.length-1;c>=0;c--)if(0!==t[c]){var f=new a(s?t[c]:Math.abs(t[c])),l=t[c]<0?"-":"+";if(c>0){var p=new u(n);if(c>1){var m=new a(c);p=new o("^","pow",[p,m])}f=-1===t[c]&&s?new o("-","unaryMinus",[p]):1===Math.abs(t[c])?p:new o("*","multiply",[f,p])}i=s?f:"+"===l?new o("+","add",[i,f]):new o("-","subtract",[i,f]),s=!1}return s?new a(0):i}})),Cm=De("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}})),Mm=De("replacer",[],(function(){return function(e,t){return"number"!=typeof t||isFinite(t)&&!isNaN(t)?t:{mathjs:"number",value:String(t)}}})),Fm=Math.PI,Om=2*Math.PI,Tm=Math.E,Bm=De("true",[],(function(){return!0})),_m=De("false",[],(function(){return!1})),km=De("null",[],(function(){return null})),Im=Xm("Infinity",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(1/0):1/0})),Rm=Xm("NaN",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(NaN):NaN})),zm=Xm("pi",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?ds(r):Fm})),qm=Xm("tau",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?vs(r):Om})),jm=Xm("e",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?ms(r):Tm})),Pm=Xm("phi",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?hs(r):1.618033988749895})),Lm=Xm("LN2",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(2).ln():Math.LN2})),Um=Xm("LN10",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(10).ln():Math.LN10})),$m=Xm("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})),Hm=Xm("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})),Gm=Xm("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})),Vm=Xm("SQRT2",["config","?BigNumber"],(function(e){var t=e.config,r=e.BigNumber;return"BigNumber"===t.number?new r(2).sqrt():Math.SQRT2})),Zm=Xm("i",["Complex"],(function(e){return e.Complex.I})),Wm=De("PI",["pi"],(function(e){return e.pi})),Jm=De("E",["e"],(function(e){return e.e})),Ym=De("version",[],(function(){return"11.0.1"}));function Xm(e,t,r){return De(e,t,r,{recreateOnConfigChange:!0})}var Qm=Wh("speedOfLight","299792458","m s^-1"),Km=Wh("gravitationConstant","6.67430e-11","m^3 kg^-1 s^-2"),eh=Wh("planckConstant","6.62607015e-34","J s"),th=Wh("reducedPlanckConstant","1.0545718176461565e-34","J s"),rh=Wh("magneticConstant","1.25663706212e-6","N A^-2"),nh=Wh("electricConstant","8.8541878128e-12","F m^-1"),ih=Wh("vacuumImpedance","376.730313667","ohm"),ah=Wh("coulomb","8.987551792261171e9","N m^2 C^-2"),oh=Wh("elementaryCharge","1.602176634e-19","C"),uh=Wh("bohrMagneton","9.2740100783e-24","J T^-1"),sh=Wh("conductanceQuantum","7.748091729863649e-5","S"),ch=Wh("inverseConductanceQuantum","12906.403729652257","ohm"),fh=Wh("magneticFluxQuantum","2.0678338484619295e-15","Wb"),lh=Wh("nuclearMagneton","5.0507837461e-27","J T^-1"),ph=Wh("klitzing","25812.807459304513","ohm"),mh=Wh("bohrRadius","5.29177210903e-11","m"),hh=Wh("classicalElectronRadius","2.8179403262e-15","m"),dh=Wh("electronMass","9.1093837015e-31","kg"),vh=Wh("fermiCoupling","1.1663787e-5","GeV^-2"),gh=Jh("fineStructure",.0072973525693),yh=Wh("hartreeEnergy","4.3597447222071e-18","J"),xh=Wh("protonMass","1.67262192369e-27","kg"),bh=Wh("deuteronMass","3.3435830926e-27","kg"),wh=Wh("neutronMass","1.6749271613e-27","kg"),Nh=Wh("quantumOfCirculation","3.6369475516e-4","m^2 s^-1"),Dh=Wh("rydberg","10973731.568160","m^-1"),Eh=Wh("thomsonCrossSection","6.6524587321e-29","m^2"),Ah=Jh("weakMixingAngle",.2229),Sh=Jh("efimovFactor",22.7),Ch=Wh("atomicMass","1.66053906660e-27","kg"),Mh=Wh("avogadro","6.02214076e23","mol^-1"),Fh=Wh("boltzmann","1.380649e-23","J K^-1"),Oh=Wh("faraday","96485.33212331001","C mol^-1"),Th=Wh("firstRadiation","3.7417718521927573e-16","W m^2"),Bh=Wh("loschmidt","2.686780111798444e25","m^-3"),_h=Wh("gasConstant","8.31446261815324","J K^-1 mol^-1"),kh=Wh("molarPlanckConstant","3.990312712893431e-10","J s mol^-1"),Ih=Wh("molarVolume","0.022413969545014137","m^3 mol^-1"),Rh=Jh("sackurTetrode",-1.16487052358),zh=Wh("secondRadiation","0.014387768775039337","m K"),qh=Wh("stefanBoltzmann","5.67037441918443e-8","W m^-2 K^-4"),jh=Wh("wienDisplacement","2.897771955e-3","m K"),Ph=Wh("molarMass","0.99999999965e-3","kg mol^-1"),Lh=Wh("molarMassC12","11.9999999958e-3","kg mol^-1"),Uh=Wh("gravity","9.80665","m s^-2"),$h=Wh("planckLength","1.616255e-35","m"),Hh=Wh("planckMass","2.176435e-8","kg"),Gh=Wh("planckTime","5.391245e-44","s"),Vh=Wh("planckCharge","1.87554603778e-18","C"),Zh=Wh("planckTemperature","1.416785e+32","K");function Wh(e,t,r){return De(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 Jh(e,t){return De(e,["config","BigNumber"],(function(e){var r=e.config,n=e.BigNumber;return"BigNumber"===r.number?new n(t):t}))}var Yh=De("apply",["typed","isInteger"],(function(e){var t=e.typed,r=e.isInteger,n=yn({typed:t,isInteger:r});return t("apply",{"...any":function(e){var t=e[1];i(t)?e[1]=t-1:a(t)&&(e[1]=t.minus(1));try{return n.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),Xh=De("column",["typed","Index","matrix","range"],(function(e){var t=e.typed,r=e.Index,n=e.matrix,a=e.range,o=va({typed:t,Index:r,matrix:n,range:a});return t("column",{"...any":function(e){var t=e.length-1,r=e[t];i(r)&&(e[t]=r-1);try{return o.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0});function Qh(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=al(r),o=e.compile();return function(e){return a.set(i,e),o.evaluate(a)}}var Kh=De("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])||_(e[1])?e[1].compile().evaluate(r):Qh(e[1],t,r)),n(i,a)}r.rawArgs=!0;var n=t("filter",{"Array, function":ed,"Matrix, function":function(e,t){return e.create(ed(e.toArray(),t))},"Array, RegExp":Tt,"Matrix, RegExp":function(e,t){return e.create(Tt(e.toArray(),t))}});return r}),{isTransformFunction:!0});function ed(e,t){var r=jt(t);return Ot(e,(function(e,n,i){return 1===r?t(e):2===r?t(e,[n+1]):t(e,[n+1],i)}))}var td=De("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])||_(e[1])?e[1].compile().evaluate(r):Qh(e[1],t,r)),n(i,a)}r.rawArgs=!0;var n=t("forEach",{"Array | Matrix, function":function(e,t){var r=jt(t);!function n(i,a){Array.isArray(i)?Ft(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}),rd=De("index",["Index"],(function(e){var t=e.Index;return function(){for(var e=[],r=0,n=arguments.length;r<n;r++){var o=arguments[r];if(d(o))o.start--,o.end-=o.step>0?0:2;else if(o&&!0===o.isSet)o=o.map((function(e){return e-1}));else if(f(o)||l(o))o=o.map((function(e){return e-1}));else if(i(o))o--;else if(a(o))o=o.toNumber()-1;else if("string"!=typeof o)throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range");e[r]=o}var u=new t;return t.apply(u,e),u}}),{isTransformFunction:!0}),nd=De("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])||_(e[1])?e[1].compile().evaluate(r):Qh(e[1],t,r)),n(i,a)}r.rawArgs=!0;var n=t("map",{"Array, function":function(e,t){return id(e,t,e)},"Matrix, function":function(e,t){return e.create(id(e.valueOf(),t,e))}});return r}),{isTransformFunction:!0});function id(e,t,r){var n=jt(t);return function e(i,a){return Array.isArray(i)?Mt(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 ad(e){if(2===e.length&&p(e[0])){var t=(e=e.slice())[1];i(t)?e[1]=t-1:a(t)&&(e[1]=t.minus(1))}return e}var od=De("max",["typed","config","numeric","larger"],(function(e){var t=e.typed,r=e.config,n=e.numeric,i=e.larger,a=as({typed:t,config:r,numeric:n,larger:i});return t("max",{"...any":function(e){e=ad(e);try{return a.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),ud=De("mean",["typed","add","divide"],(function(e){var t=e.typed,r=e.add,n=e.divide,i=cp({typed:t,add:r,divide:n});return t("mean",{"...any":function(e){e=ad(e);try{return i.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),sd=De("min",["typed","config","numeric","smaller"],(function(e){var t=e.typed,r=e.config,n=e.numeric,i=e.smaller,a=os({typed:t,config:r,numeric:n,smaller:i});return t("min",{"...any":function(e){e=ad(e);try{return a.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),cd=De("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,u=e.larger,s=e.largerEq,c=Ga({typed:t,config:r,matrix:n,bignumber:i,smaller:a,smallerEq:o,larger:u,largerEq:s});return t("range",{"...any":function(e){return"boolean"!=typeof e[e.length-1]&&e.push(!0),c.apply(null,e)}})}),{isTransformFunction:!0}),fd=De("row",["typed","Index","matrix","range"],(function(e){var t=e.typed,r=e.Index,n=e.matrix,a=e.range,o=eo({typed:t,Index:r,matrix:n,range:a});return t("row",{"...any":function(e){var t=e.length-1,r=e[t];i(r)&&(e[t]=r-1);try{return o.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),ld=De("subset",["typed","matrix"],(function(e){var t=e.typed,r=e.matrix,n=oo({typed:t,matrix:r});return t("subset",{"...any":function(e){try{return n.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),pd=De("concat",["typed","matrix","isInteger"],(function(e){var t=e.typed,r=e.matrix,n=e.isInteger,o=ma({typed:t,matrix:r,isInteger:n});return t("concat",{"...any":function(e){var t=e.length-1,r=e[t];i(r)?e[t]=r-1:a(r)&&(e[t]=r.minus(1));try{return o.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),md="diff",hd=De(md,["typed","matrix","subtract","number","bignumber"],(function(e){var t=e.typed,r=e.matrix,n=e.subtract,i=e.number,a=e.bignumber,o=ja({typed:t,matrix:r,subtract:n,number:i,bignumber:a});return t(md,{"...any":function(e){e=ad(e);try{return o.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),dd=De("std",["typed","map","sqrt","variance"],(function(e){var t=e.typed,r=e.map,n=e.sqrt,i=e.variance,a=gp({typed:t,map:r,sqrt:n,variance:i});return t("std",{"...any":function(e){e=ad(e);try{return a.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),vd=De("sum",["typed","config","add","numeric"],(function(e){var t=e.typed,r=e.config,n=e.add,i=e.numeric,a=ap({typed:t,config:r,add:n,numeric:i});return t("sum",{"...any":function(e){e=ad(e);try{return a.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),gd="cumsum",yd=De(gd,["typed","add","unaryPlus"],(function(e){var t=e.typed,r=e.add,n=e.unaryPlus,o=up({typed:t,add:r,unaryPlus:n});return t(gd,{"...any":function(e){if(2===e.length&&p(e[0])){var t=e[1];i(t)?e[1]=t-1:a(t)&&(e[1]=t.minus(1))}try{return o.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),xd="variance",bd=De(xd,["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,s=dp({typed:t,add:r,subtract:n,multiply:i,divide:a,apply:o,isNaN:u});return t(xd,{"...any":function(e){e=ad(e);try{return s.apply(null,e)}catch(e){throw hf(e)}}})}),{isTransformFunction:!0}),wd=(r(4812),r(4279));var Nd={epsilon:1e-12,matrix:"Matrix",number:"number",precision:64,predictable:!1,randomSeed:null},Dd=["Matrix","Array"],Ed=["number","BigNumber","Fraction"];function Ad(e,t){function r(r){if(r){var n=he(e,me);Sd(r,"matrix",Dd),Sd(r,"number",Ed),ve(e,r);var i=he(e,me),a=he(r,me);return t("config",i,n,a),i}return he(e,me)}return r.MATRIX_OPTIONS=Dd,r.NUMBER_OPTIONS=Ed,Object.keys(Nd).forEach((function(t){Object.defineProperty(r,t,{get:function(){return e[t]},enumerable:!0,configurable:!0})})),r}function Sd(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(", ")+".")}const Cd=function e(r,n){var B=ls({},Nd,n);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 $,G,V=($={isNumber:i,isComplex:o,isBigNumber:a,isFraction:u,isUnit:s,isString:c,isArray:f,isMatrix:l,isCollection:p,isDenseMatrix:m,isSparseMatrix:h,isRange:d,isIndex:v,isBoolean:g,isResultSet:y,isHelp:x,isFunction:b,isDate:w,isRegExp:N,isObject:D,isNull:E,isUndefined:A,isAccessorNode:S,isArrayNode:C,isAssignmentNode:M,isBlockNode:F,isConditionalNode:O,isConstantNode:T,isFunctionAssignmentNode:_,isFunctionNode:k,isIndexNode:I,isNode:R,isObjectNode:z,isOperatorNode:q,isParenthesisNode:j,isRangeNode:P,isSymbolNode:L,isChain:U},G=new wd,$.on=G.on.bind(G),$.off=G.off.bind(G),$.once=G.once.bind(G),$.emit=G.emit.bind(G),$);V.config=Ad(B,V.emit),V.expression={transform:{},mathWithTransform:{config:V.config}};var Z={};function W(){for(var e=arguments.length,t=new Array(e),r=0;r<e;r++)t[r]=arguments[r];return V.typed.apply(V.typed,t)}W.isTypedFunction=H.isTypedFunction;var J=function(e,r,n,i){function c(t,r,a){var o;if(a.wrap&&"function"==typeof r&&(r=function(e){var t=function(){for(var t=[],r=0,i=arguments.length;r<i;r++){var a=arguments[r];t[r]=a&&a.valueOf()}return e.apply(n,t)};return e.transform&&(t.transform=e.transform),t}(r)),"function"==typeof(o=r)&&"string"==typeof o.signature&&(r=e(t,ps({},r.signature,r))),e.isTypedFunction(n[t])&&e.isTypedFunction(r))return r=a.override?e(t,r.signatures):e(n[t],r),n[t]=r,delete i[t],f(t,r),void n.emit("import",t,(function(){return r}));if(void 0===n[t]||a.override)return n[t]=r,delete i[t],f(t,r),void n.emit("import",t,(function(){return r}));if(!a.silent)throw new Error('Cannot import "'+t+'": already exists')}function f(e,t){t&&"function"==typeof t.transform?(n.expression.transform[e]=t.transform,d(e)&&(n.expression.mathWithTransform[e]=t.transform)):(delete n.expression.transform[e],d(e)&&(n.expression.mathWithTransform[e]=t))}function p(e){delete n.expression.transform[e],d(e)?n.expression.mathWithTransform[e]=n[e]:delete n.expression.mathWithTransform[e]}function m(t,r){var a=arguments.length>2&&void 0!==arguments[2]?arguments[2]:t.fn;if(Rt(a,"."))throw new Error("Factory name should not contain a nested path. Name: "+JSON.stringify(a));var o=g(t)?n.expression.transform:n,u=a in n.expression.transform,s=we(o,a)?o[a]:void 0,c=function(){var i={};t.dependencies.map(Ae).forEach((function(e){if(Rt(e,"."))throw new Error("Factory dependency should not contain a nested path. Name: "+JSON.stringify(e));"math"===e?i.math=n:"mathWithTransform"===e?i.mathWithTransform=n.expression.mathWithTransform:"classes"===e?i.classes=n:i[e]=n[e]}));var o=t(i);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===s||r.override)return o;if(e.isTypedFunction(s)&&e.isTypedFunction(o))return e(s,o);if(r.silent)return s;throw new Error('Cannot import "'+a+'": already exists')};t.meta&&!1===t.meta.lazy?(o[a]=c(),s&&u?p(a):(g(t)||v(t))&&be(n.expression.mathWithTransform,a,(function(){return o[a]}))):(be(o,a,c),s&&u?p(a):(g(t)||v(t))&&be(n.expression.mathWithTransform,a,(function(){return o[a]}))),i[a]=t,n.emit("import",a,c)}function h(e){return"function"==typeof e||"number"==typeof e||"string"==typeof e||"boolean"==typeof e||null===e||s(e)||o(e)||a(e)||u(e)||l(e)||Array.isArray(e)}function d(e){return!we(y,e)}function v(e){return!(-1!==e.fn.indexOf(".")||we(y,e.fn)||e.meta&&e.meta.isClass)}function g(e){return void 0!==e&&void 0!==e.meta&&!0===e.meta.isTransformFunction||!1}var y={expression:!0,type:!0,docs:!0,error:!0,json:!0,chain:!0};return function(e,r){var n=arguments.length;if(1!==n&&2!==n)throw new Wa("import",n,1,2);function i(e,n,a){if(Array.isArray(n))n.forEach((function(t){return i(e,t)}));else if("object"===t(n))for(var o in n)we(n,o)&&i(e,n[o],o);else if(Ee(n)||void 0!==a){var u=Ee(n)?g(n)?n.fn+".transform":n.fn:a;if(we(e,u)&&e[u]!==n&&!r.silent)throw new Error('Cannot import "'+u+'" twice');e[u]=n}else if(!r.silent)throw new TypeError("Factory, Object, or Array expected")}r||(r={});var a={};for(var o in i(a,e),a)if(we(a,o)){var u=a[o];if(Ee(u))m(u,r);else if(h(u))c(o,u,r);else if(!r.silent)throw new TypeError("Factory, Object, or Array expected")}}}(W,0,V,Z);return V.import=J,V.on("config",(function(){Ne(Z).forEach((function(e){e&&e.meta&&e.meta.recreateOnConfigChange&&J(e,{override:!0})}))})),V.create=e.bind(null,r),V.factory=De,V.import(Ne(ye(r))),V.ArgumentsError=Wa,V.DimensionError=pt,V.IndexError=mt,V}(e)})(),n.default})()));
//# sourceMappingURL=math.js.map