hub / github.com/PrairieLearn/PrairieLearn / E

Function E

public/localscripts/calculationQuestion/math.js:35–35 · view source on GitHub ↗

(e,t,r)

Source from the content-addressed store, hash-verified

33	* Dual licensed under the MIT or GPL Version 2 licenses.
34	**/
35	!function(a){"use strict";function o(e,t){return isNaN(e=parseInt(e,10))&&s(),et}function s(){throw"Invalid Param"}function u(e,t){return this instanceof u?(l(e,t),e=u.REDUCE?g(f.d,f.n):1,this.s=f.s,this.n=f.n/e,void(this.d=f.d/e)):new u(e,t)}var c=2e3,f={s:1,n:0,d:1},l=function(e,t){var r,n=0,i=1,a=1,u=0,c=0,l=0,p=1,m=1,h=0,g=1,v=1,d=1,y=1e7;if(void 0===e\|\|null===e);else if(void 0!==t)n=e,i=t,a=ni;else switch(typeof e){case"object":"d"in e&&"n"in e?(n=e.n,i=e.d,"s"in e&&(n=e.s)):0 in e?(n=e[0],1 in e&&(i=e[1])):s(),a=ni;break;case"number":if(0>e&&(a=e,e=-e),e%1===0)n=e;else if(e>0){for(e>=1&&(m=Math.pow(10,Math.floor(1+Math.log(e)/Math.LN10)),e/=m);y>=g&&y>=d;){if(r=(h+v)/(g+d),e===r){y>=g+d?(n=h+v,i=g+d):d>g?(n=v,i=d):(n=h,i=g);break}e>r?(h+=v,g+=d):(v+=h,d+=g),g>y?(n=v,i=d):(n=h,i=g)}n=m}break;case"string":if(g=e.match(/\d+\|./g),"-"===g[h]?(a=-1,h++):"+"===g[h]&&h++,g.length===h+1?c=o(g[h++],a):"."===g[h+1]\|\|"."===g[h]?("."!==g[h]&&(u=o(g[h++],a)),h++,(h+1===g.length\|\|"("===g[h+1]&&")"===g[h+3]\|\|"'"===g[h+1]&&"'"===g[h+3])&&(c=o(g[h],a),p=Math.pow(10,g[h].length),h++),("("===g[h]&&")"===g[h+2]\|\|"'"===g[h]&&"'"===g[h+2])&&(l=o(g[h+1],a),m=Math.pow(10,g[h+1].length)-1,h+=3)):"/"===g[h+1]\|\|":"===g[h+1]?(c=o(g[h],a),p=o(g[h+2],1),h+=3):"/"===g[h+3]&&" "===g[h+1]&&(u=o(g[h],a),c=o(g[h+2],a),p=o(g[h+4],1),h+=5),g.length<=h){a=n=l+m(up+c),i=pm;break}default:s()}if(!i)throw"DIV/0";f.s=0>a?-1:1,f.n=Math.abs(n),f.d=Math.abs(i)},p=function(e,t,r){for(var n=1;t>0;e=ee%r,t>>=1)1&t&&(n=ne%r);return n},m=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=10r%t,n>c)return 0;return n},h=function(e,t,r){for(var n=1,i=p(10,r,t),a=0;300>a;a++){if(n===i)return a;n=10n%t,i=10i%t}return 0},g=function(e,t){if(!e)return t;if(!t)return e;for(;;){if(e%=t,!e)return t;if(t%=e,!t)return e}};u.REDUCE=1,u.prototype={s:1,n:0,d:1,abs:function(){return new u(this.n,this.d)},neg:function(){return new u(-this.sthis.n,this.d)},add:function(e,t){return l(e,t),new u(this.sthis.nf.d+f.sthis.df.n,this.df.d)},sub:function(e,t){return l(e,t),new u(this.sthis.nf.d-f.sthis.df.n,this.df.d)},mul:function(e,t){return l(e,t),new u(this.sf.sthis.nf.n,this.df.d)},div:function(e,t){return l(e,t),new u(this.sf.sthis.nf.d,this.df.n)},clone:function(){return new u(this)},mod:function(e,t){return void 0===e?new u(this.sthis.n%this.d,1):(l(e,t),0===f.nthis.d&&u(0,0),new u(this.sf.dthis.n%(f.nthis.d),f.dthis.d))},gcd:function(e,t){return l(e,t),new u(g(f.n,this.n),f.dthis.d/g(f.d,this.d))},lcm:function(e,t){return l(e,t),new u(f.nthis.n/g(f.n,this.n),g(f.d,this.d))},ceil:function(){return new u(Math.ceil(this.sthis.n/this.d),1)},floor:function(){return new u(Math.floor(this.sthis.n/this.d),1)},round:function(){return new u(Math.round(this.sthis.n/this.d),1)},inverse:function(){return new u(this.sthis.d,this.n)},pow:function(e){var t=this.d,r=this.n;return 0>e?(this.d=Math.pow(r,-e),this.n=Math.pow(t,-e)):(this.d=Math.pow(t,e),this.n=Math.pow(r,e)),0===e%2&&(this.s=1),this},equals:function(e,t){return l(e,t),this.sthis.nf.d===f.sf.nthis.d},compare:function(e,t){l(e,t);var r=this.sthis.nf.d-f.sf.nthis.d;return(r>0)-(0>r)},divisible:function(e,t){return l(e,t),!(!(f.nthis.d)\|\|this.nf.d%(f.nthis.d))},valueOf:function(){return this.sthis.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},toString:function(){var e,t=this.n,r=this.d;u.REDUCE\|\|(e=g(t,r),t/=e,r/=e);for(var n=String(t).split(""),i=0,a=[~this.s?"":"-","",""],o="",s=m(t,r),c=h(t,r,s),f=-1,l=1,p=10+s+c+n.length,v=0;p>v;v++,i=10){if(v<n.length?i+=Number(n[v]):(l=2,f++),s>0)if(f===c)a[l]+=o+"(",o="";else if(f===s+c){a[l]+=o+")";break}i>=r?(a[l]+=o+(i/r\|0),o="",i%=r):l>1?o+="0":a[l]&&(a[l]+="0")}return a[0]+=a[1]\|\|"0",a[2]?a[0]+"."+a[2]:a[0]}},r(34).amd?(n=[],i=function(){return u}.apply(t,n),!(void 0!==i&&(e.exports=i))):e.exports=u}(this)}).call(t,r(33)(e))},function(e,t){e.exports=function(e){return e.webpackPolyfill\|\|(e.deprecate=function(){},e.paths=[],e.children=[],e.webpackPolyfill=1),e}},function(e,t){e.exports=function(){throw new Error("define cannot be used indirect")}},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("fraction",{number:function(t){if(!isFinite(t)\|\|isNaN(t))throw new Error(t+" cannot be represented as a fraction");return new e.Fraction(t)},string:function(t){return new e.Fraction(t)},"number, number":function(t,r){return new e.Fraction(t,r)},Fraction:function(e){return e},Object:function(t){return new e.Fraction(t)},"Array \| Matrix":function(e){return i(e,a)}});return a}var i=r(19);t.name="fraction",t.factory=n},function(e,t,r){e.exports=[r(37),r(45),r(46),r(48),r(57),r(63),r(64),r(65),r(66),r(50),r(67)]},function(e,t,r){"use strict";function n(e,t,r,n){function i(){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator")}return i.prototype.type="Matrix",i.prototype.isMatrix=!0,i.storage=function(e){if(!o(e))throw new TypeError("format must be a string value");var t=i._storage[e];if(!t)throw new SyntaxError("Unsupported matrix storage format: "+e);return t},i._storage={},i.prototype.storage=function(){throw new Error("Cannot invoke storage on a Matrix interface")},i.prototype.datatype=function(){throw new Error("Cannot invoke datatype on a Matrix interface")},i.prototype.create=function(e,t){throw new Error("Cannot invoke create on a Matrix interface")},i.prototype.subset=function(e,t,r){throw new Error("Cannot invoke subset on a Matrix interface")},i.prototype.get=function(e){throw new Error("Cannot invoke get on a Matrix interface")},i.prototype.set=function(e,t,r){throw new Error("Cannot invoke set on a Matrix interface")},i.prototype.resize=function(e,t){throw new Error("Cannot invoke resize on a Matrix interface")},i.prototype.clone=function(){throw new Error("Cannot invoke clone on a Matrix interface")},i.prototype.size=function(){throw new Error("Cannot invoke size on a Matrix interface")},i.prototype.map=function(e,t){throw new Error("Cannot invoke map on a Matrix interface")},i.prototype.forEach=function(e){throw new Error("Cannot invoke forEach on a Matrix interface")},i.prototype.toArray=function(){throw new Error("Cannot invoke toArray on a Matrix interface")},i.prototype.valueOf=function(){throw new Error("Cannot invoke valueOf on a Matrix interface")},i.prototype.format=function(e){throw new Error("Cannot invoke format on a Matrix interface")},i.prototype.toString=function(){throw new Error("Cannot invoke toString on a Matrix interface")},i}var i=r(38),a=i.string,o=a.isString;t.name="Matrix",t.path="type",t.factory=n},function(e,t,r){"use strict";t.array=r(39),t["boolean"]=r(43),t["function"]=r(44),t.number=r(6),t.object=r(3),t.string=r(23),t.types=r(40),t.emitter=r(8)},function(e,t,r){"use strict";function n(e,t,r){var i,a=e.length;if(a!=t[r])throw new f(a,t[r]);if(r<t.length-1){var o=r+1;for(i=0;a>i;i++){var s=e[i];if(!Array.isArray(s))throw new f(t.length-1,t.length,"<");n(e[i],t,o)}}else for(i=0;a>i;i++)if(Array.isArray(e[i]))throw new f(t.length+1,t.length,">")}function i(e,r,n,a){var o,s,u=e.length,f=r[n],l=Math.min(u,f);if(e.length=f,n<r.length-1){var p=n+1;for(o=0;l>o;o++)s=e[o],Array.isArray(s)\|\|(s=[s],e[o]=s),i(s,r,p,a);for(o=l;f>o;o++)s=[],e[o]=s,i(s,r,p,a)}else{for(o=0;l>o;o++)for(;Array.isArray(e[o]);)e[o]=e[o][0];if(a!==t.UNINITIALIZED)for(o=l;f>o;o++)e[o]=c.clone(a)}}function a(e,t,r){var n,i;if(t>r){var o=r+1;for(n=0,i=e.length;i>n;n++)e[n]=a(e[n],t,o)}else for(;Array.isArray(e);)e=e[0];return e}function o(e,t,r){var n,i;if(Array.isArray(e)){var a=r+1;for(n=0,i=e.length;i>n;n++)e[n]=o(e[n],t,a)}else for(var s=r;t>s;s++)e=[e];return e}var s=r(6),u=r(23),c=r(3),f=(r(40),r(41)),l=r(42);t.size=function(e){for(var t=[];Array.isArray(e);)t.push(e.length),e=e[0];return t},t.validate=function(e,t){var r=0==t.length;if(r){if(Array.isArray(e))throw new f(e.length,0)}else n(e,t,0)},t.validateIndex=function(e,t){if(!s.isNumber(e)\|\|!s.isInteger(e))throw new TypeError("Index must be an integer (value: "+e+")");if(0>e)throw new l(e);if(void 0!==t&&e>=t)throw new l(e,t)},t.UNINITIALIZED={},t.resize=function(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");t.forEach(function(e){if(!s.isNumber(e)\|\|!s.isInteger(e)\|\|0>e)throw new TypeError("Invalid size, must contain positive integers (size: "+u.format(t)+")")});var n=void 0!==r?r:0;return i(e,t,0,n),e},t.squeeze=function(e,r){for(var n=r\|\|t.size(e);Array.isArray(e)&&1===e.length;)e=e[0],n.shift();for(var i=n.length;1===n[i-1];)i--;return i<n.length&&(e=a(e,i,0),n.length=i),e},t.unsqueeze=function(e,r,n,i){var a=i\|\|t.size(e);if(n)for(var s=0;n>s;s++)e=[e],a.unshift(1);for(e=o(e,r,0);a.length<r;)a.push(1);return e},t.flatten=function(e){if(!Array.isArray(e))return e;var t=[];return e.forEach(function r(e){Array.isArray(e)?e.forEach(r):t.push(e)}),t},t.isArray=Array.isArray},function(e,t){"use strict";t.type=function(e){var t=typeof e;return"object"===t?null===e?"null":e instanceof Boolean?"boolean":e instanceof Number?"number":e instanceof String?"string":Array.isArray(e)?"Array":e instanceof Date?"Date":e instanceof RegExp?"RegExp":"Object":"function"===t?"Function":t}},function(e,t){"use strict";function r(e,t,n){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");this.actual=e,this.expected=t,this.relation=n,this.message="Dimension mismatch ("+(Array.isArray(e)?"["+e.join(", ")+"]":e)+" "+(this.relation\|\|"!=")+" "+(Array.isArray(t)?"["+t.join(", ")+"]":t)+")",this.stack=(new Error).stack}r.prototype=new RangeError,r.prototype.constructor=RangeError,r.prototype.name="DimensionError",r.prototype.isDimensionError=!0,e.exports=r},function(e,t){"use strict";function r(e,t,n){if(!(this instanceof r))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=n),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}r.prototype=new RangeError,r.prototype.constructor=RangeError,r.prototype.name="IndexError",r.prototype.isIndexError=!0,e.exports=r},function(e,t){"use strict";t.isBoolean=function(e){return"boolean"==typeof e}},function(e,t){t.memoize=function(e,t){return function r(){"object"!=typeof r.cache&&(r.cache={});for(var n=[],i=0;i<arguments.length;i++)n[i]=arguments[i];var a=t?t(n):JSON.stringify(n);return a in r.cache?r.cache[a]:r.cache[a]=e.apply(e,n)}}},function(e,t,r){"use strict";function n(e,t,n,c){function g(e,t){if(!(this instanceof g))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!m(t))throw new Error("Invalid datatype: "+t);if(e&&e.isMatrix===!0)"DenseMatrix"===e.type?(this._data=u.clone(e._data),this._size=u.clone(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,this._datatype=t\|\|e.datatype;else if(f(e))this._data=w(e),this._size=s.size(this._data),s.validate(this._data,this._size),this._datatype=t;else{if(e)throw new TypeError("Unsupported type of data ("+i.types.type(e)+")");this._data=[],this._size=[0],this._datatype=t}}function v(e,t){if(!t\|\|t.isIndex!==!0)throw new TypeError("Invalid index");var r=t.isScalar();if(r)return e.get(t.min());var n=t.size();if(n.length!=e._size.length)throw new a(n.length,e._size.length);for(var i=t.min(),o=t.max(),s=0,u=e._size.length;u>s;s++)h(i[s],e._size[s]),h(o[s],e._size[s]);return new g(d(e._data,t,n.length,0),e._datatype)}function d(e,t,r,n){var i=n==r-1,a=t.dimension(n);return i?a.map(function(t){return e[t]}).valueOf():a.map(function(i){var a=e[i];return d(a,t,r,n+1)}).valueOf()}function y(e,t,r,n){if(!t\|\|t.isIndex!==!0)throw new TypeError("Invalid index");var i,o=t.size(),c=t.isScalar();if(r&&r.isMatrix===!0?(i=r.size(),r=r.valueOf()):i=s.size(r),c){if(0!==i.length)throw new TypeError("Scalar expected");e.set(t.min(),r,n)}else{if(o.length<e._size.length)throw new a(o.length,e._size.length,"<");if(i.length<o.length){for(var f=0,l=0;1===o[f]&&1===i[f];)f++;for(;1===o[f];)l++,f++;r=s.unsqueeze(r,o.length,l,i)}if(!u.deepEqual(o,i))throw new a(o,i,">");var p=t.max().map(function(e){return e+1});b(e,p,n);var m=o.length,h=0;x(e._data,t,r,m,h)}return e}function x(e,t,r,n,i){var a=i==n-1,o=t.dimension(i);a?o.forEach(function(t,n){h(t),e[t]=r[n[0]]}):o.forEach(function(a,o){h(a),x(e[a],t,r[o[0]],n,i+1)})}function b(e,t,r){for(var n=u.clone(e._size),i=!1;n.length<t.length;)n.push(0),i=!0;for(var a=0,o=t.length;o>a;a++)t[a]>n[a]&&(n[a]=t[a],i=!0);i&&E(e,n,r)}function w(e){for(var t=0,r=e.length;r>t;t++){var n=e[t];f(n)?e[t]=w(n):n&&n.isMatrix===!0&&(e[t]=w(n.valueOf()))}return e}var N=n(r(37));g.prototype=new N,g.prototype.type="DenseMatrix",g.prototype.isDenseMatrix=!0,g.prototype.storage=function(){return"dense"},g.prototype.datatype=function(){return this._datatype},g.prototype.create=function(e,t){return new g(e,t)},g.prototype.subset=function(e,t,r){switch(arguments.length){case 1:return v(this,e);case 2:case 3:return y(this,e,t,r);default:throw new SyntaxError("Wrong number of arguments")}},g.prototype.get=function(e){if(!f(e))throw new TypeError("Array expected");if(e.length!=this._size.length)throw new a(e.length,this._size.length);for(var t=0;t<e.length;t++)h(e[t],this._size[t]);for(var r=this._data,n=0,i=e.length;i>n;n++){var o=e[n];h(o,r.length),r=r[o]}return u.clone(r)},g.prototype.set=function(e,t,r){if(!f(e))throw new TypeError("Array expected");if(e.length<this._size.length)throw new a(e.length,this._size.length,"<");var n,i,o,s=e.map(function(e){return e+1});b(this,s,r);var u=this._data;for(n=0,i=e.length-1;i>n;n++)o=e[n],h(o,u.length),u=u[o];return o=e[e.length-1],h(o,u.length),u[o]=t,this},g.prototype.resize=function(e,t,r){if(!f(e))throw new TypeError("Array expected");var n=r?this.clone():this;return E(n,e,t)};var E=function(e,t,r){if(0===t.length){for(var n=e._data;f(n);)n=n[0];return u.clone(n)}return e._size=u.clone(t),e._data=s.resize(e._data,e._size,r),e};return g.prototype.clone=function(){var e=new g({data:u.clone(this._data),size:u.clone(this._size),datatype:this._datatype});return e},g.prototype.size=function(){return this._size},g.prototype.map=function(e){var t=this,r=function(n,i){return f(n)?n.map(function(e,t){return r(e,i.concat(t))}):e(n,i,t)};return new g({data:r(this._data,[]),size:u.clone(this._size),datatype:this._datatype})},g.prototype.forEach=function(e){var t=this,r=function(n,i){f(n)?n.forEach(function(e,t){r(e,i.concat(t))}):e(n,i,t)};r(this._data,[])},g.prototype.toArray=function(){return u.clone(this._data)},g.prototype.valueOf=function(){return this._data},g.prototype.format=function(e){return o.format(this._data,e)},g.prototype.toString=function(){return o.format(this._data)},g.prototype.toJSON=function(){return{mathjs:"DenseMatrix",data:this._data,size:this._size,datatype:this._datatype}},g.prototype.diagonal=function(e){if(e){if(e.isBigNumber===!0&&(e=e.toNumber()),!l(e)\|\|!p(e))throw new TypeError("The parameter k must be an integer number")}else e=0;for(var t=e>0?e:0,r=0>e?-e:0,n=this._size[0],i=this._size[1],a=Math.min(n-r,i-t),o=[],s=0;a>s;s++)o[s]=u.clone(this._data[s+r][s+t]);return new g({data:o,size:[a],datatype:this._datatype})},g.diagonal=function(t,r,n,i,a){if(!f(t))throw new TypeError("Array expected, size parameter");if(2!==t.length)throw new Error("Only two dimensions matrix are supported");if(t=t.map(function(e){if(e&&e.isBigNumber===!0&&(e=e.toNumber()),!l(e)\|\|!p(e)\|\|1>e)throw new Error("Size values must be positive integers");return e}),n){if(n&&n.isBigNumber===!0&&(n=n.toNumber()),!l(n)\|\|!p(n))throw new TypeError("The parameter k must be an integer number")}else n=0;i&&m(a)&&(i=c.convert(i,a));var o,u=n>0?n:0,h=0>n?-n:0,v=t[0],d=t[1],y=Math.min(v-h,d-u);if(f(r)){if(r.length!==y)throw new Error("Invalid value array length");o=function(e){return r[e]}}else if(r&&r.isMatrix===!0){var x=r.size();if(1!==x.length\|\|x[0]!==y)throw new Error("Invalid matrix length");o=function(e){return r.get([e])}}else o=function(){return r};i\|\|(i=o(0)&&o(0).isBigNumber===!0?new e.BigNumber(0):0);var b=[];if(t.length>0){b=s.resize(b,t,i);for(var w=0;y>w;w++)b[w+h][w+u]=o(w)}return new g({data:b,size:[v,d]})},g.fromJSON=function(e){return new g(e)},g.prototype.swapRows=function(e,t){if(!(l(e)&&p(e)&&l(t)&&p(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 h(e,this._size[0]),h(t,this._size[0]),g._swapRows(e,t,this._data),this},g._swapRows=function(e,t,r){var n=r[e];r[e]=r[t],r[t]=n},e.Matrix._storage.dense=g,e.Matrix._storage["default"]=g,g}var i=r(38),a=r(41),o=i.string,s=i.array,u=i.object,c=i.number,f=Array.isArray,l=c.isNumber,p=c.isInteger,m=o.isString,h=s.validateIndex;t.name="DenseMatrix",t.path="type",t.factory=n,t.lazy=!1},function(e,t,r){"use strict";function n(e,t,n,g){function v(e,t){if(!(this instanceof v))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!m(t))throw new Error("Invalid datatype: "+t);if(e&&e.isMatrix===!0)x(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))b(this,e,t);else{if(e)throw new TypeError("Unsupported type of data ("+i.types.type(e)+")");this._values=[],this._index=[],this._ptr=[0],this._size=[0,0],this._datatype=t}}var d=n(r(37)),y=n(r(47)),x=function(e,t,r){"SparseMatrix"===t.type?(e._values=t._values?s.clone(t._values):void 0,e._index=s.clone(t._index),e._ptr=s.clone(t._ptr),e._size=s.clone(t._size),e._datatype=r\|\|t._datatype):b(e,t.valueOf(),r\|\|t._datatype)},b=function(e,t,r){e._values=[],e._index=[],e._ptr=[],e._datatype=r;var n=t.length,i=0,a=y,o=0;if(m(r)&&(a=g.find(y,[r,r])\|\|y,o=g.convert(0,r)),n>0){var s=0;do{e._ptr.push(e._index.length);for(var u=0;n>u;u++){var c=t[u];if(f(c)){if(0===s&&i<c.length&&(i=c.length),s<c.length){var l=c[s];a(l,o)\|\|(e._values.push(l),e._index.push(u))}}else 0===s&&1>i&&(i=1),a(c,o)\|\|(e._values.push(c),e._index.push(u))}s++}while(i>s)}e._ptr.push(e._index.length),e._size=[n,i]};v.prototype=new d,v.prototype.type="SparseMatrix",v.prototype.isSparseMatrix=!0,v.prototype.storage=function(){return"sparse"},v.prototype.datatype=function(){return this._datatype},v.prototype.create=function(e,t){return new v(e,t)},v.prototype.density=function(){var e=this._size[0],t=this._size[1];return 0!==e&&0!==t?this._index.length/(et):0},v.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 w(this,e);case 2:case 3:return N(this,e,t,r);default:throw new SyntaxError("Wrong number of arguments")}};var w=function(e,t){if(!t\|\|t.isIndex!==!0)throw new TypeError("Invalid index");var r=t.isScalar();if(r)return e.get(t.min());var n=t.size();if(n.length!=e._size.length)throw new a(n.length,e._size.length);var i,o,s,u,c=t.min(),f=t.max();for(i=0,o=e._size.length;o>i;i++)h(c[i],e._size[i]),h(f[i],e._size[i]);var l=e._values,p=e._index,m=e._ptr,g=t.dimension(0),d=t.dimension(1),y=[],x=[];g.forEach(function(e,t){x[e]=t[0],y[e]=!0});var b=l?[]:void 0,w=[],N=[];return d.forEach(function(e){for(N.push(w.length),s=m[e],u=m[e+1];u>s;s++)i=p[s],y[i]===!0&&(w.push(x[i]),b&&b.push(l[s]))}),N.push(w.length),new v({values:b,index:w,ptr:N,size:n,datatype:e._datatype})},N=function(e,t,r,n){if(!t\|\|t.isIndex!==!0)throw new TypeError("Invalid index");var i,u=t.size(),c=t.isScalar();if(r&&r.isMatrix===!0?(i=r.size(),r=r.toArray()):i=o.size(r),c){if(0!==i.length)throw new TypeError("Scalar expected");e.set(t.min(),r,n)}else{if(1!==u.length&&2!==u.length)throw new a(u.length,e._size.length,"<");if(i.length<u.length){for(var f=0,l=0;1===u[f]&&1===i[f];)f++;for(;1===u[f];)l++,f++;r=o.unsqueeze(r,u.length,l,i)}if(!s.deepEqual(u,i))throw new a(u,i,">");for(var p=t.min()[0],m=t.min()[1],h=i[0],g=i[1],v=0;h>v;v++)for(var d=0;g>d;d++){var y=r[v][d];e.set([v+p,d+m],y,n)}}return e};v.prototype.get=function(e){if(!f(e))throw new TypeError("Array expected");if(e.length!=this._size.length)throw new a(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];h(t,this._size[0]),h(r,this._size[1]);var n=E(t,this._ptr[r],this._ptr[r+1],this._index);return n<this._ptr[r+1]&&this._index[n]===t?s.clone(this._values[n]):0},v.prototype.set=function(e,t,r){if(!f(e))throw new TypeError("Array expected");if(e.length!=this._size.length)throw new a(e.length,this._size.length);if(!this._values)throw new Error("Cannot invoke set on a Pattern only matrix");var n=e[0],i=e[1],o=this._size[0],s=this._size[1],u=y,c=0;m(this._datatype)&&(u=g.find(y,[this._datatype,this._datatype])\|\|y,c=g.convert(0,this._datatype)),(n>o-1\|\|i>s-1)&&(_(this,Math.max(n+1,o),Math.max(i+1,s),r),o=this._size[0],s=this._size[1]),h(n,o),h(i,s);var l=E(n,this._ptr[i],this._ptr[i+1],this._index);return l<this._ptr[i+1]&&this._index[l]===n?u(t,c)?M(l,i,this._values,this._index,this._ptr):this._values[l]=t:A(l,n,i,t,this._values,this._index,this._ptr),this};var E=function(e,t,r,n){if(r-t===0)return r;for(var i=t;r>i;i++)if(n[i]===e)return i;return t},M=function(e,t,r,n,i){r.splice(e,1),n.splice(e,1);for(var a=t+1;a<i.length;a++)i[a]--},A=function(e,t,r,n,i,a,o){i.splice(e,0,n),a.splice(e,0,t);for(var s=r+1;s<o.length;s++)o[s]++};v.prototype.resize=function(e,t,r){if(!f(e))throw new TypeError("Array expected");if(2!==e.length)throw new Error("Only two dimensions matrix are supported");e.forEach(function(t){if(!c.isNumber(t)\|\|!c.isInteger(t)\|\|0>t)throw new TypeError("Invalid size, must contain positive integers (size: "+u.format(e)+")")});var n=r?this.clone():this;return _(n,e[0],e[1],t)};var _=function(e,t,r,n){var i=n\|\|0,a=y,o=0;m(e._datatype)&&(a=g.find(y,[e._datatype,e._datatype])\|\|y,o=g.convert(0,e._datatype),i=g.convert(i,e._datatype));var s,u,c,f=!a(i,o),l=e._size[0],p=e._size[1];if(r>p){for(u=p;r>u;u++)if(e._ptr[u]=e._values.length,f)for(s=0;l>s;s++)e._values.push(i),e._index.push(s);e._ptr[r]=e._values.length}else p>r&&(e._ptr.splice(r+1,p-r),e._values.splice(e._ptr[r],e._values.length),e._index.splice(e._ptr[r],e._index.length));if(p=r,t>l){if(f){var h=0;for(u=0;p>u;u++){e._ptr[u]=e._ptr[u]+h,c=e._ptr[u+1]+h;var v=0;for(s=l;t>s;s++,v++)e._values.splice(c+v,0,i),e._index.splice(c+v,0,s),h++}e._ptr[p]=e._values.length}}else if(l>t){var d=0;for(u=0;p>u;u++){e._ptr[u]=e._ptr[u]-d;var x=e._ptr[u],b=e._ptr[u+1]-d;for(c=x;b>c;c++)s=e._index[c],s>t-1&&(e._values.splice(c,1),e._index.splice(c,1),d++)}e._ptr[u]=e._values.length}return e._size[0]=t,e._size[1]=r,e};v.prototype.clone=function(){var e=new v({values:this._values?s.clone(this._values):void 0,index:s.clone(this._index),ptr:s.clone(this._ptr),size:s.clone(this._size),datatype:this._datatype});return e},v.prototype.size=function(){return s.clone(this._size)},v.prototype.map=function(e,t){if(!this._values)throw new Error("Cannot invoke map on a Pattern only matrix");var r=this,n=this._size[0],i=this._size[1],a=function(t,n,i){return e(t,[n,i],r)};return O(this,0,n-1,0,i-1,a,t)};var O=function(e,t,r,n,i,a,o){var s=[],u=[],c=[],f=y,l=0;m(e._datatype)&&(f=g.find(y,[e._datatype,e._datatype])\|\|y,l=g.convert(0,e._datatype));for(var p=function(e,t,r){e=a(e,t,r),f(e,l)\|\|(s.push(e),u.push(t))},h=n;i>=h;h++){c.push(s.length);for(var d=e._ptr[h],x=e._ptr[h+1],b=t,w=d;x>w;w++){var N=e._index[w];if(N>=t&&r>=N){if(!o)for(var E=b;N>E;E++)p(0,E-t,h-n);p(e._values[w],N-t,h-n)}b=N+1}if(!o)for(var M=b;r>=M;M++)p(0,M-t,h-n)}return c.push(s.length),new v({values:s,index:u,ptr:c,size:[r-t+1,i-n+1]})};v.prototype.forEach=function(e,t){if(!this._values)throw new Error("Cannot invoke forEach on a Pattern only matrix");for(var r=this,n=this._size[0],i=this._size[1],a=0;i>a;a++){for(var o=this._ptr[a],s=this._ptr[a+1],u=0,c=o;s>c;c++){var f=this._index[c];if(!t)for(var l=u;f>l;l++)e(0,[l,a],r);e(this._values[c],[f,a],r),u=f+1}if(!t)for(var p=u;n>p;p++)e(0,[p,a],r)}},v.prototype.toArray=function(){return T(this._values,this._index,this._ptr,this._size,!0)},v.prototype.valueOf=function(){return T(this._values,this._index,this._ptr,this._size,!1)};var T=function(e,t,r,n,i){var a,o,u=n[0],c=n[1],f=[];for(a=0;u>a;a++)for(f[a]=[],o=0;c>o;o++)f[a][o]=0;for(o=0;c>o;o++)for(var l=r[o],p=r[o+1],m=l;p>m;m++)a=t[m],f[a][o]=e?i?s.clone(e[m]):e[m]:1;return f};return v.prototype.format=function(e){for(var t=this._size[0],r=this._size[1],n=this.density(),i="Sparse Matrix ["+u.format(t,e)+" x "+u.format(r,e)+"] density: "+u.format(n,e)+"\n",a=0;r>a;a++)for(var o=this._ptr[a],s=this._ptr[a+1],c=o;s>c;c++){var f=this._index[c];i+="\n ("+u.format(f,e)+", "+u.format(a,e)+") ==> "+(this._values?u.format(this._values[c],e):"X")}return i},v.prototype.toString=function(){return u.format(this.toArray())},v.prototype.toJSON=function(){return{mathjs:"SparseMatrix",values:this._values,index:this._index,ptr:this._ptr,size:this._size,datatype:this._datatype}},v.prototype.diagonal=function(e){if(e){if(e.isBigNumber===!0&&(e=e.toNumber()),!l(e)\|\|!p(e))throw new TypeError("The parameter k must be an integer number")}else e=0;var t=e>0?e:0,r=0>e?-e:0,n=this._size[0],i=this._size[1],a=Math.min(n-r,i-t),o=[],u=[],c=[];c[0]=0;for(var f=t;i>f&&o.length<a;f++)for(var m=this._ptr[f],h=this._ptr[f+1],g=m;h>g;g++){var d=this._index[g];if(d===f-t+r){o.push(s.clone(this._values[g])),u[o.length-1]=d-r;break}}return c.push(o.length),new v({values:o,index:u,ptr:c,size:[a,1]})},v.fromJSON=function(e){return new v(e)},v.diagonal=function(e,t,r,n,i){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(e&&e.isBigNumber===!0&&(e=e.toNumber()),!l(e)\|\|!p(e)\|\|1>e)throw new Error("Size values must be positive integers");return e}),r){if(r.isBigNumber===!0&&(r=r.toNumber()),!l(r)\|\|!p(r))throw new TypeError("The parameter k must be an integer number")}else r=0;var a=y,o=0;m(i)&&(a=g.find(y,[i,i])\|\|y,o=g.convert(0,i));var s,u=r>0?r:0,c=0>r?-r:0,h=e[0],d=e[1],x=Math.min(h-c,d-u);if(f(t)){if(t.length!==x)throw new Error("Invalid value array length");s=function(e){return t[e]}}else if(t&&t.isMatrix===!0){var b=t.size();if(1!==b.length\|\|b[0]!==x)throw new Error("Invalid matrix length");s=function(e){return t.get([e])}}else s=function(){return t};for(var w=[],N=[],E=[],M=0;d>M;M++){E.push(w.length);var A=M-u;if(A>=0&&x>A){var _=s(A);a(_,o)\|\|(N.push(A+c),w.push(_))}}return E.push(w.length),new v({values:w,index:N,ptr:E,size:[h,d]})},v.prototype.swapRows=function(e,t){if(!(l(e)&&p(e)&&l(t)&&p(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 h(e,this._size[0]),h(t,this._size[0]),v._swapRows(e,t,this._size[1],this._values,this._index,this._ptr),this},v._forEachRow=function(e,t,r,n,i){for(var a=n[e],o=n[e+1],s=a;o>s;s++)i(r[s],t[s])},v._swapRows=function(e,t,r,n,i,a){for(var o=0;r>o;o++){var s=a[o],u=a[o+1],c=E(e,s,u,i),f=E(t,s,u,i);if(u>c&&u>f&&i[c]===e&&i[f]===t){if(n){var l=n[c];n[c]=n[f],n[f]=l}}else if(u>c&&i[c]===e&&(f>=u\|\|i[f]!==t)){var p=n?n[c]:void 0;i.splice(f,0,t),n&&n.splice(f,0,p),i.splice(c>=f?c+1:c,1),n&&n.splice(c>=f?c+1:c,1)}else if(u>f&&i[f]===t&&(c>=u\|\|i[c]!==e)){var m=n?n[f]:void 0;i.splice(c,0,e),n&&n.splice(c,0,m),i.splice(f>=c?f+1:f,1),n&&n.splice(f>=c?f+1:f,1)}}},e.Matrix._storage.sparse=v,v}var i=r(38),a=r(41),o=i.array,s=i.object,u=i.string,c=i.number,f=Array.isArray,l=c.isNumber,p=c.isInteger,m=u.isString,h=o.validateIndex;t.name="SparseMatrix",t.path="type",t.factory=n,t.lazy=!1},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("equalScalar",{"boolean, boolean":function(e,t){return e===t},"number, number":function(e,r){return e===r\|\|i(e,r,t.epsilon)},"BigNumber, BigNumber":function(e,t){return e.eq(t)},"Fraction, Fraction":function(e,t){return e.equals(t)},"Complex, Complex":function(e,r){return(e.re===r.re\|\|i(e.re,r.re,t.epsilon))&&(e.im===r.im\|\|i(e.im,r.im,t.epsilon))},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return a(e.value,t.value)},"string, string":function(e,t){return e===t}});return a}var i=r(6).nearlyEqual;t.factory=n},function(e,t,r){"use strict";function n(e,t,n){function i(){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");this._values=[],this._heap=new e.FibonacciHeap}var a=n(r(49)),o=n(r(47));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,t){var r=this._values[e];r?r.value=a(r.value,t):(r=this._heap.insert(e,t),this._values[e]=r)},i.prototype.forEach=function(e,t,r){var n=this._heap,i=this._values,a=[],s=n.extractMinimum();for(s&&a.push(s);s&&s.key<=t;)s.key>=e&&(o(s.value,0)\|\|r(s.key,s.value,this)),s=n.extractMinimum(),s&&a.push(s);for(var u=0;u<a.length;u++){var c=a[u];s=n.insert(c.key,c.value),i[s.key]=s}},i.prototype.swap=function(e,t){var r=this._values[e],n=this._values[t];if(!r&&n)r=this._heap.insert(e,n.value),this._heap.remove(n),this._values[e]=r,this._values[t]=void 0;else if(r&&!n)n=this._heap.insert(t,r.value),this._heap.remove(r),this._values[t]=n,this._values[e]=void 0;else if(r&&n){var i=r.value;r.value=n.value,n.value=i}},i}t.name="Spa",t.path="type",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(50)),s=n(r(51)),u=r(29),c=n(r(52)),f=n(r(53)),l=n(r(54)),p=n(r(55)),m=n(r(56)),h=a("add",i({"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=f(e,t,s);break;default:r=c(t,e,s,!0)}break;default:switch(t.storage()){case"sparse":r=c(e,t,s,!1);break;default:r=p(e,t,s)}}return r},"Array, Array":function(e,t){return h(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return h(o(e),t)},"Matrix, Array":function(e,t){return h(e,o(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=l(e,t,s,!1);break;default:r=m(e,t,s,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=l(t,e,s,!0);break;default:r=m(t,e,s,!0)}return r},"Array, any":function(e,t){return m(o(e),t,s,!1).valueOf()},"any, Array":function(e,t){return m(o(t),e,s,!0).valueOf()}},s.signatures));return h.toTex="\\left(${args[0]}"+u.operators.add+"${args[1]}\\right)",h}var i=r(3).extend;t.name="add",t.factory=n},function(e,t){"use strict";function r(e,t,r,n){function i(t,r,n){var i=e.Matrix.storage(r\|\|"default");return new i(t,n)}var a=n("matrix",{"":function(){return i([])},string:function(e){return i([],e)},"string, string":function(e,t){return i([],e,t)},Array:function(e){return i(e)},Matrix:function(e){return i(e,e.storage())},"Array \| Matrix, string":i,"Array \| Matrix, string, string":i});return a.toTex={0:"\\begin{bmatrix}\\end{bmatrix}",1:"\\left(${args[0]}\\right)",2:"\\left(${args[0]}\\right)"},a}t.name="matrix",t.factory=r},function(e,t){"use strict";function r(e,t,r,n){var i=n("add",{"number, number":function(e,t){return e+t},"Complex, Complex":function(t,r){return new e.Complex(t.re+r.re,t.im+r.im)},"BigNumber, BigNumber":function(e,t){
36	return e.plus(t)},"Fraction, Fraction":function(e,t){return e.add(t)},"Unit, Unit":function(e,t){if(null==e.value)throw new Error("Parameter x contains a unit with undefined value");if(null==t.value)throw new Error("Parameter y contains a unit with undefined value");if(!e.equalBase(t))throw new Error("Units do not match");var r=e.clone();return r.value=i(r.value,t.value),r.fixPrefix=!1,r}});return i}t.factory=r},function(e,t,r){"use strict";function n(e,t,r,n){var a=e.DenseMatrix,o=function(e,t,r,o){var s=e._data,u=e._size,c=e._datatype,f=t._values,l=t._index,p=t._ptr,m=t._size,h=t._datatype;if(u.length!==m.length)throw new i(u.length,m.length);if(u[0]!==m[0]\|\|u[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+m+")");if(!f)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var g,v,d=u[0],y=u[1],x="string"==typeof c&&c===h?c:void 0,b=x?n.find(r,[x,x]):r,w=[];for(g=0;d>g;g++)w[g]=[];var N=[],E=[];for(v=0;y>v;v++){for(var M=v+1,A=p[v],_=p[v+1],O=A;_>O;O++)g=l[O],N[g]=o?b(f[O],s[g][v]):b(s[g][v],f[O]),E[g]=M;for(g=0;d>g;g++)E[g]===M?w[g][v]=N[g]:w[g][v]=s[g][v]}return new a({data:w,size:[d,y],datatype:x})};return o}var i=r(41);t.name="algorithm01",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(47)),s=e.SparseMatrix,u=function(e,t,r){var n=e._values,u=e._index,c=e._ptr,f=e._size,l=e._datatype,p=t._values,m=t._index,h=t._ptr,g=t._size,v=t._datatype;if(f.length!==g.length)throw new i(f.length,g.length);if(f[0]!==g[0]\|\|f[1]!==g[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+g+")");var d,y=f[0],x=f[1],b=o,w=0,N=r;"string"==typeof l&&l===v&&(d=l,b=a.find(o,[d,d]),w=a.convert(0,d),N=a.find(r,[d,d]));var E,M,A,_,O,T=n&&p?[]:void 0,C=[],S=[],z=new s({values:T,index:C,ptr:S,size:[y,x],datatype:d}),B=n&&p?[]:void 0,k=n&&p?[]:void 0,I=[],R=[];for(M=0;x>M;M++){S[M]=C.length;var P=M+1;for(_=c[M],O=c[M+1],A=_;O>A;A++)E=u[A],C.push(E),I[E]=P,B&&(B[E]=n[A]);for(_=h[M],O=h[M+1],A=_;O>A;A++)if(E=m[A],I[E]===P){if(B){var U=N(B[E],p[A]);b(U,w)?I[E]=null:B[E]=U}}else C.push(E),R[E]=P,k&&(k[E]=p[A]);if(B&&k)for(A=S[M];A<C.length;)E=C[A],I[E]===P?(T[A]=B[E],A++):R[E]===P?(T[A]=k[E],A++):C.splice(A,1)}return S[x]=C.length,z};return u}var i=r(41);t.name="algorithm04",t.factory=n},function(e,t){"use strict";function r(e,t,r,n){var i=e.DenseMatrix,a=function(e,t,r,a){var o=e._values,s=e._index,u=e._ptr,c=e._size,f=e._datatype;if(!o)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var l,p=c[0],m=c[1],h=r;"string"==typeof f&&(l=f,t=n.convert(t,l),h=n.find(r,[l,l]));for(var g=[],v=new i({data:g,size:[p,m],datatype:l}),d=[],y=[],x=0;m>x;x++){for(var b=x+1,w=u[x],N=u[x+1],E=w;N>E;E++){var M=s[E];d[M]=o[E],y[M]=b}for(var A=0;p>A;A++)0===x&&(g[A]=[]),y[A]===b?g[A][x]=a?h(t,d[A]):h(d[A],t):g[A][x]=t}return v};return a}t.name="algorithm10",t.factory=r},function(e,t,r){"use strict";function n(e,t,r,n){var i=e.DenseMatrix,o=function(e,t,r){var o=e._data,u=e._size,c=e._datatype,f=t._data,l=t._size,p=t._datatype,m=[];if(u.length!==l.length)throw new a(u.length,l.length);for(var h=0;h<u.length;h++){if(u[h]!==l[h])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+l+")");m[h]=u[h]}var g,v=r;"string"==typeof c&&c===p&&(g=c,t=n.convert(t,g),v=n.find(r,[g,g]));var d=m.length>0?s(v,0,m,m[0],o,f):[];return new i({data:d,size:m,datatype:g})},s=function(e,t,r,n,i,a){var o=[];if(t===r.length-1)for(var u=0;n>u;u++)o[u]=e(i[u],a[u]);else for(var c=0;n>c;c++)o[c]=s(e,t+1,r,r[t+1],i[c],a[c]);return o};return o}var i=r(38),a=r(41),o=i.string;o.isString;t.name="algorithm13",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=e.DenseMatrix,o=function(e,t,r,o){var u,c=e._data,f=e._size,l=e._datatype,p=r;"string"==typeof l&&(u=l,t=n.convert(t,u),p=n.find(r,[u,u]));var m=f.length>0?s(p,0,f,f[0],c,t,o):[];return new a({data:m,size:i(f),datatype:u})},s=function(e,t,r,n,i,a,o){var u=[];if(t===r.length-1)for(var c=0;n>c;c++)u[c]=o?e(a,i[c]):e(i[c],a);else for(var f=0;n>f;f++)u[f]=s(e,t+1,r,r[t+1],i[f],a,o);return u};return o}var i=r(3).clone;t.name="algorithm14",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){function a(){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");this._minimum=null,this._size=0}var o=n(r(58)),s=n(r(62)),u=1/Math.log((1+Math.sqrt(5))/2);a.prototype.type="FibonacciHeap",a.prototype.isFibonacciHeap=!0,a.prototype.insert=function(e,t){var r={key:e,value:t,degree:0};if(this._minimum){var n=this._minimum;r.left=n,r.right=n.right,n.right=r,r.right.left=r,o(e,n.key)&&(this._minimum=r)}else r.left=r,r.right=r,this._minimum=r;return this._size++,r},a.prototype.size=function(){return this._size},a.prototype.clear=function(){this._minimum=null,this._size=0},a.prototype.isEmpty=function(){return!!this._minimum},a.prototype.extractMinimum=function(){var e=this._minimum;if(null===e)return e;for(var t=this._minimum,r=e.degree,n=e.child;r>0;){var i=n.right;n.left.right=n.right,n.right.left=n.left,n.left=t,n.right=t.right,t.right=n,n.right.left=n,n.parent=null,n=i,r--}return e.left.right=e.right,e.right.left=e.left,e==e.right?t=null:(t=e.right,t=m(t,this._size)),this._size--,this._minimum=t,e},a.prototype.remove=function(e){this._minimum=c(this._minimum,e,-1),this.extractMinimum()};var c=function(e,t,r){t.key=r;var n=t.parent;return n&&o(t.key,n.key)&&(f(e,t,n),l(e,n)),o(t.key,e.key)&&(e=t),e},f=function(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},l=function(e,t){var r=t.parent;r&&(t.mark?(f(e,t,r),l(r)):t.mark=!0)},p=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},m=function(e,t){var r=Math.floor(Math.log(t)u)+1,n=new Array(r),i=0,a=e;if(a)for(i++,a=a.right;a!==e;)i++,a=a.right;for(var c;i>0;){for(var f=a.degree,l=a.right;;){if(c=n[f],!c)break;if(s(a.key,c.key)){var m=c;c=a,a=m}p(c,a),n[f]=null,f++}n[f]=a,a=l,i--}e=null;for(var h=0;r>h;h++)c=n[h],c&&(e?(c.left.right=c.right,c.right.left=c.left,c.left=e,c.right=e.right,e.right=c,c.right.left=c,o(c.key,e.key)&&(e=c)):e=c);return e};return a}t.name="FibonacciHeap",t.path="type",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(50)),s=n(r(59)),u=n(r(60)),c=n(r(61)),f=n(r(55)),l=n(r(56)),p=r(29),m=a("smaller",{"boolean, boolean":function(e,t){return t>e},"number, number":function(e,r){return r>e&&!i(e,r,t.epsilon)},"BigNumber, BigNumber":function(e,t){return e.lt(t)},"Fraction, Fraction":function(e,t){return-1===e.compare(t)},"Complex, Complex":function(e,t){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return m(e.value,t.value)},"string, string":function(e,t){return t>e},"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=u(e,t,m);break;default:r=s(t,e,m,!0)}break;default:switch(t.storage()){case"sparse":r=s(e,t,m,!1);break;default:r=f(e,t,m)}}return r},"Array, Array":function(e,t){return m(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return m(o(e),t)},"Matrix, Array":function(e,t){return m(e,o(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=c(e,t,m,!1);break;default:r=l(e,t,m,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=c(t,e,m,!0);break;default:r=l(t,e,m,!0)}return r},"Array, any":function(e,t){return l(o(e),t,m,!1).valueOf()},"any, Array":function(e,t){return l(o(t),e,m,!0).valueOf()}});return m.toTex="\\left(${args[0]}"+p.operators.smaller+"${args[1]}\\right)",m}var i=r(6).nearlyEqual;t.name="smaller",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=e.DenseMatrix,o=function(e,t,r,o){var s=e._data,u=e._size,c=e._datatype,f=t._values,l=t._index,p=t._ptr,m=t._size,h=t._datatype;if(u.length!==m.length)throw new i(u.length,m.length);if(u[0]!==m[0]\|\|u[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+m+")");if(!f)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var g,v=u[0],d=u[1],y=0,x=r;"string"==typeof c&&c===h&&(g=c,y=n.convert(0,g),x=n.find(r,[g,g]));for(var b=[],w=0;v>w;w++)b[w]=[];for(var N=[],E=[],M=0;d>M;M++){for(var A=M+1,_=p[M],O=p[M+1],T=_;O>T;T++){var C=l[T];N[C]=o?x(f[T],s[C][M]):x(s[C][M],f[T]),E[C]=A}for(var S=0;v>S;S++)E[S]===A?b[S][M]=N[S]:b[S][M]=o?x(y,s[S][M]):x(s[S][M],y)}return new a({data:b,size:[v,d],datatype:g})};return o}var i=r(41);t.name="algorithm03",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=e.DenseMatrix,o=function(e,t,r){var o=e._size,u=e._datatype,c=t._size,f=t._datatype;if(o.length!==c.length)throw new i(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=0,g=r;"string"==typeof u&&u===f&&(l=u,h=n.convert(0,l),g=n.find(r,[l,l]));var v,d,y=[];for(v=0;p>v;v++)y[v]=[];var x=new a({data:y,size:[p,m],datatype:l}),b=[],w=[],N=[],E=[];for(d=0;m>d;d++){var M=d+1;for(s(e,d,N,b,M),s(t,d,E,w,M),v=0;p>v;v++){var A=N[v]===M?b[v]:h,_=E[v]===M?w[v]:h;y[v][d]=g(A,_)}}return x},s=function(e,t,r,n,i){for(var a=e._values,o=e._index,s=e._ptr,u=s[t],c=s[t+1];c>u;u++){var f=o[u];r[f]=i,n[f]=a[u]}};return o}var i=r(41);t.name="algorithm07",t.factory=n},function(e,t){"use strict";function r(e,t,r,n){var i=e.DenseMatrix,a=function(e,t,r,a){var o=e._values,s=e._index,u=e._ptr,c=e._size,f=e._datatype;if(!o)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var l,p=c[0],m=c[1],h=r;"string"==typeof f&&(l=f,t=n.convert(t,l),h=n.find(r,[l,l]));for(var g=[],v=new i({data:g,size:[p,m],datatype:l}),d=[],y=[],x=0;m>x;x++){for(var b=x+1,w=u[x],N=u[x+1],E=w;N>E;E++){var M=s[E];d[M]=o[E],y[M]=b}for(var A=0;p>A;A++)0===x&&(g[A]=[]),y[A]===b?g[A][x]=a?h(t,d[A]):h(d[A],t):g[A][x]=a?h(t,0):h(0,t)}return v};return a}t.name="algorithm12",t.factory=r},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(50)),s=n(r(59)),u=n(r(60)),c=n(r(61)),f=n(r(55)),l=n(r(56)),p=r(29),m=a("larger",{"boolean, boolean":function(e,t){return e>t},"number, number":function(e,r){return e>r&&!i(e,r,t.epsilon)},"BigNumber, BigNumber":function(e,t){return e.gt(t)},"Fraction, Fraction":function(e,t){return 1===e.compare(t)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(e,t){if(!e.equalBase(t))throw new Error("Cannot compare units with different base");return m(e.value,t.value)},"string, string":function(e,t){return e>t},"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=u(e,t,m);break;default:r=s(t,e,m,!0)}break;default:switch(t.storage()){case"sparse":r=s(e,t,m,!1);break;default:r=f(e,t,m)}}return r},"Array, Array":function(e,t){return m(o(e),o(t)).valueOf()},"Array, Matrix":function(e,t){return m(o(e),t)},"Matrix, Array":function(e,t){return m(e,o(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=c(e,t,m,!1);break;default:r=l(e,t,m,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=c(t,e,m,!0);break;default:r=l(t,e,m,!0)}return r},"Array, any":function(e,t){return l(o(e),t,m,!1).valueOf()},"any, Array":function(e,t){return l(o(t),e,m,!0).valueOf()}});return m.toTex="\\left(${args[0]}"+p.operators.larger+"${args[1]}\\right)",m}var i=r(6).nearlyEqual;t.name="larger",t.factory=n},function(e,t,r){"use strict";function n(e,t,n){function a(e,t){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(t&&!u(t))throw new Error("Invalid datatype: "+t);if(e&&e.isMatrix===!0\|\|s(e)){var r=new c(e,t);this._data=r._data,this._size=r._size,this._datatype=r._datatype,this._min=null,this._max=null}else if(e&&s(e.data)&&s(e.size))this._data=e.data,this._size=e.size,this._datatype=e.datatype,this._min="undefined"!=typeof e.min?e.min:null,this._max="undefined"!=typeof e.max?e.max:null;else{if(e)throw new TypeError("Unsupported type of data ("+i.types.type(e)+")");this._data=[],this._size=[0],this._datatype=t,this._min=null,this._max=null}}var c=n(r(45)),f=n(r(58));return a.prototype=new c,a.prototype.type="ImmutableDenseMatrix",a.prototype.isImmutableDenseMatrix=!0,a.prototype.subset=function(e){switch(arguments.length){case 1:var t=c.prototype.subset.call(this,e);return t.isMatrix?new a({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")}},a.prototype.set=function(){throw new Error("Cannot invoke set on an Immutable Matrix instance")},a.prototype.resize=function(){throw new Error("Cannot invoke resize on an Immutable Matrix instance")},a.prototype.clone=function(){var e=new a({data:o.clone(this._data),size:o.clone(this._size),datatype:this._datatype});return e},a.prototype.toJSON=function(){return{mathjs:"ImmutableDenseMatrix",data:this._data,size:this._size,datatype:this._datatype}},a.fromJSON=function(e){return new a(e)},a.prototype.swapRows=function(){throw new Error("Cannot invoke swapRows on an Immutable Matrix instance")},a.prototype.min=function(){if(null===this._min){var e=null;this.forEach(function(t){(null===e\|\|f(t,e))&&(e=t)}),this._min=null!==e?e:void 0}return this._min},a.prototype.max=function(){if(null===this._max){var e=null;this.forEach(function(t){(null===e\|\|f(e,t))&&(e=t)}),this._max=null!==e?e:void 0}return this._max},a}var i=r(38),a=i.string,o=i.object,s=Array.isArray,u=a.isString;t.name="ImmutableDenseMatrix",t.path="type",t.factory=n},function(e,t,r){"use strict";function n(e){function t(e){if(!(this instanceof t))throw new SyntaxError("Constructor must be called with the new operator");this._dimensions=[],this._isScalar=!0;for(var n=0,i=arguments.length;i>n;n++){var a=arguments[n];if(a&&a.isRange===!0)this._dimensions.push(a),this._isScalar=!1;else if(a&&(Array.isArray(a)\|\|a.isMatrix===!0)){var o=r(a.valueOf());this._dimensions.push(o);var s=o.size();(1!==s.length\|\|1!==s[0])&&(this._isScalar=!1)}else{if("number"!=typeof a)throw new TypeError("Dimension must be an Array, Matrix, Number or Range");this._dimensions.push(r([a]))}}}function r(t){for(var r=0,n=t.length;n>r;r++)if("number"!=typeof t[r]\|\|!a(t[r]))throw new TypeError("Index parameters must be positive integer numbers");return new e.ImmutableDenseMatrix(t)}return t.prototype.type="Index",t.prototype.isIndex=!0,t.prototype.clone=function(){var e=new t;return e._dimensions=i(this._dimensions),e._isScalar=this._isScalar,e},t.create=function(e){var r=new t;return t.apply(r,e),r},t.prototype.size=function(){for(var e=[],t=0,r=this._dimensions.length;r>t;t++){var n=this._dimensions[t];e[t]=n.size()[0]}return e},t.prototype.max=function(){for(var e=[],t=0,r=this._dimensions.length;r>t;t++){var n=this._dimensions[t];e[t]=n.max()}return e},t.prototype.min=function(){for(var e=[],t=0,r=this._dimensions.length;r>t;t++){var n=this._dimensions[t];e[t]=n.min()}return e},t.prototype.forEach=function(e){for(var t=0,r=this._dimensions.length;r>t;t++)e(this._dimensions[t],t,this)},t.prototype.dimension=function(e){return this._dimensions[e]\|\|null},t.prototype.isScalar=function(){return this._isScalar},t.prototype.toArray=function(){for(var e=[],t=0,r=this._dimensions.length;r>t;t++)e.push(this._dimensions[t].toArray());return e},t.prototype.valueOf=t.prototype.toArray,t.prototype.toString=function(){for(var e=[],t=0,r=this._dimensions.length;r>t;t++)e.push(this._dimensions[t].toString());return"["+e.join(", ")+"]"},t.prototype.toJSON=function(){return{mathjs:"Index",dimensions:this._dimensions}},t.fromJSON=function(e){return t.create(e.dimensions)},t}var i=r(3).clone,a=r(6).isInteger;t.name="Index",t.path="type",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){function a(e,t,r){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(null!=e)if(e.isBigNumber===!0)e=e.toNumber();else if("number"!=typeof e)throw new TypeError("Parameter start must be a number");if(null!=t)if(t.isBigNumber===!0)t=t.toNumber();else if("number"!=typeof t)throw new TypeError("Parameter end must be a number");if(null!=r)if(r.isBigNumber===!0)r=r.toNumber();else if("number"!=typeof r)throw new TypeError("Parameter step must be a number");this.start=null!=e?parseFloat(e):0,this.end=null!=t?parseFloat(t):0,this.step=null!=r?parseFloat(r):1}return a.prototype.type="Range",a.prototype.isRange=!0,a.parse=function(e){if("string"!=typeof e)return null;var t=e.split(":"),r=t.map(function(e){return parseFloat(e)}),n=r.some(function(e){return isNaN(e)});if(n)return null;switch(r.length){case 2:return new a(r[0],r[1]);case 3:return new a(r[0],r[2],r[1]);default:return null}},a.prototype.clone=function(){return new a(this.start,this.end,this.step)},a.prototype.size=function(){var e=0,t=this.start,r=this.step,n=this.end,a=n-t;return i.sign(r)==i.sign(a)?e=Math.ceil(a/r):0==a&&(e=0),isNaN(e)&&(e=0),[e]},a.prototype.min=function(){var e=this.size()[0];return e>0?this.step>0?this.start:this.start+(e-1)this.step:void 0},a.prototype.max=function(){var e=this.size()[0];return e>0?this.step>0?this.start+(e-1)this.step:this.start:void 0},a.prototype.forEach=function(e){var t=this.start,r=this.step,n=this.end,i=0;if(r>0)for(;n>t;)e(t,[i],this),t+=r,i++;else if(0>r)for(;t>n;)e(t,[i],this),t+=r,i++},a.prototype.map=function(e){var t=[];return this.forEach(function(r,n,i){t[n[0]]=e(r,n,i)}),t},a.prototype.toArray=function(){var e=[];return this.forEach(function(t,r){e[r[0]]=t}),e},a.prototype.valueOf=function(){return this.toArray()},a.prototype.format=function(e){var t=i.format(this.start,e);return 1!=this.step&&(t+=":"+i.format(this.step,e)),t+=":"+i.format(this.end,e)},a.prototype.toString=function(){return this.format()},a.prototype.toJSON=function(){return{mathjs:"Range",start:this.start,end:this.end,step:this.step}},a.fromJSON=function(e){return new a(e.start,e.end,e.step)},a}var i=r(6);t.name="Range",t.path="type",t.factory=n},function(e,t){"use strict";function r(e,t,r,n){return n("index",{"...number \| BigNumber \| Range \| Array \| Matrix":function(t){var r=t.map(function(e){return e&&e.isBigNumber===!0?e.toNumber():e&&(Array.isArray(e)\|\|e.isMatrix===!0)?e.map(function(e){return e&&e.isBigNumber===!0?e.toNumber():e}):e}),n=new e.Index;return e.Index.apply(n,r),n}})}t.name="index",t.factory=r},function(e,t){"use strict";function r(e,t,r,n){var i=e.SparseMatrix,a=n("sparse",{"":function(){return new i([])},string:function(e){return new i([],e)},"Array \| Matrix":function(e){return new i(e)},"Array \| Matrix, string":function(e,t){return new i(e,t)}});return a.toTex={0:"\\begin{bsparse}\\end{bsparse}",1:"\\left(${args[0]}\\right)"},a}t.name="sparse",t.factory=r},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("number",{"":function(){return 0},number:function(e){return e},string:function(e){var t=Number(e);if(isNaN(t))throw new SyntaxError('String "'+e+'" is no valid number');return t},BigNumber:function(e){return e.toNumber()},Fraction:function(e){return e.valueOf()},Unit:function(e){throw new Error("Second argument with valueless unit expected")},"Unit, string \| Unit":function(e,t){return e.toNumber(t)},"Array \| Matrix":function(e){return i(e,a)}});return a.toTex={0:"0",1:"\\left(${args[0]}\\right)",2:"\\left(\\left(${args[0]}\\right)${args[1]}\\right)"},a}var i=r(19);t.name="number",t.factory=n},function(e,t,r){e.exports=[r(70)]},function(e,t){"use strict";function r(e,t,r,n){function i(e){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");this.entries=e\|\|[]}return i.prototype.type="ResultSet",i.prototype.isResultSet=!0,i.prototype.valueOf=function(){return this.entries},i.prototype.toString=function(){return"["+this.entries.join(", ")+"]"},i.prototype.toJSON=function(){return{mathjs:"ResultSet",entries:this.entries}},i.fromJSON=function(e){return new i(e.entries)},i}t.name="ResultSet",t.path="type",t.factory=r},function(e,t,r){"use strict";function n(e,t,r,n){var o=n("string",{"":function(){return""},number:a.format,"null":function(e){return"null"},"boolean":function(e){return e+""},string:function(e){return e},"Array \| Matrix":function(e){return i(e,o)},any:function(e){return String(e)}});return o.toTex={0:'\\mathtt{""}',1:"\\mathrm{string}\\left(${args[0]}\\right)"},o}var i=r(19),a=r(6);t.name="string",t.factory=n},function(e,t,r){e.exports=[r(73),r(90),r(91)]},function(e,t,r){"use strict";function n(e,t,n,o){function s(e,t){if(!(this instanceof s))throw new Error("Constructor must be called with the new operator");if(void 0!==e&&!M(e)&&!e.isComplex)throw new TypeError("First parameter in Unit constructor must be number, BigNumber, Fraction, Complex, or undefined");if(void 0!=t&&("string"!=typeof t\|\|""==t))throw new TypeError("Second parameter in Unit constructor must be a string");if(void 0!=t){var r=s.parse(t);this.units=r.units,this.dimensions=r.dimensions}else this.units=[{unit:q,prefix:I,power:0}],this.dimensions=[0,0,0,0,0,0,0,0,0];this.value=void 0!=e?this._normalize(e):null,this.fixPrefix=!1,this.isUnitListSimplified=!0}function u(){for(;" "==z\|\|" "==z;)l()}function c(e){return e>="0"&&"9">=e\|\|"."==e}function f(e){return e>="0"&&"9">=e}function l(){S++,z=C.charAt(S)}function p(e){S=e,z=C.charAt(S)}function m(){var e,t="";if(e=S,"+"==z?l():"-"==z&&(t+=z,l()),!c(z))return p(e),null;if("."==z){if(t+=z,l(),!f(z))return p(e),null}else{for(;f(z);)t+=z,l();"."==z&&(t+=z,l())}for(;f(z);)t+=z,l();if("E"==z\|\|"e"==z){var r="",n=S;if(r+=z,l(),("+"==z\|\|"-"==z)&&(r+=z,l()),!f(z))return p(n),t;for(t+=r;f(z);)t+=z,l()}return t}function h(){for(var e="",t=C.charCodeAt(S);t>=48&&57>=t\|\|t>=65&&90>=t\|\|t>=97&&122>=t;)e+=z,l(),t=C.charCodeAt(S);return t=e.charCodeAt(0),t>=65&&90>=t\|\|t>=97&&122>=t?e\|\|null:null}function g(e){return z===e?(l(),e):null}function v(e){for(var t in L)if(L.hasOwnProperty(t)&&i(e,t)){var r=L[t],n=e.length-t.length,a=e.substring(0,n),o=r.prefixes[a];if(void 0!==o)return{unit:r,prefix:o}}return null}var d=n(r(51)),y=n(r(74)),x=n(r(77)),b=n(r(78)),w=n(r(79)),N=n(r(85)),E=n(r(86)),M=n(r(87)),A=n(r(88)),_=n(r(89)),O=n(r(68)),T=n(r(27));s.prototype.type="Unit",s.prototype.isUnit=!0;var C,S,z;s.parse=function(r){if(C=r,S=-1,z="","string"!=typeof C)throw new TypeError("Invalid argument in Unit.parse, string expected");var n=new s;n.units=[],l(),u();var i=m(),a=null;i&&(a="bignumber"===t.number?new e.BigNumber(i):"fraction"===t.number?new e.Fraction(i):parseFloat(i)),u();for(var o=1,c=!1,f=[],p=1;;){for(u();"("===z;)f.push(o),p=o,o=1,l(),u();if(!z)break;var d=z,y=h();if(null==y)throw new SyntaxError('Unexpected "'+d+'" in "'+C+'" at index '+S.toString());var x=v(y);if(null==x)throw new SyntaxError('Unit "'+y+'" not found.');var b=op;if(u(),g("^")){u();var w=m();if(null==w)throw new SyntaxError('In "'+r+'", "^" must be followed by a floating-point number');b=w}n.units.push({unit:x.unit,prefix:x.prefix,power:b});for(var N=0;N<R.length;N++)n.dimensions[N]+=x.unit.dimensions[N]b;for(u();")"===z;){if(0===f.length)throw new SyntaxError('Unmatched ")" in "'+C+'" at index '+S.toString());p/=f.pop(),l(),u()}c=!1,g("")?(o=1,c=!0):g("/")?(o=-1,c=!0):o=1;var E=x.unit.base.key;D.auto[E]={unit:x.unit,prefix:x.prefix}}if(u(),z)throw new SyntaxError('Could not parse: "'+r+'"');if(c)throw new SyntaxError('Trailing characters: "'+r+'"');if(0!==f.length)throw new SyntaxError('Unmatched "(" in "'+C+'"');if(0==n.units.length)throw new SyntaxError('"'+r+'" contains no units');return n.value=void 0!=a?n._normalize(a):null,n},s.prototype.clone=function(){var e=new s;e.fixPrefix=this.fixPrefix,e.isUnitListSimplified=this.isUnitListSimplified,e.value=a(this.value),e.dimensions=this.dimensions.slice(0),e.units=[];for(var t=0;t<this.units.length;t++){e.units[t]={};for(var r in this.units[t])this.units[t].hasOwnProperty(r)&&(e.units[t][r]=this.units[t][r])}return e},s.prototype._isDerived=function(){return 0===this.units.length?!1:this.units.length>1\|\|Math.abs(this.units[0].power-1)>1e-15},s.prototype._normalize=function(e){var t,r,n,i,a;if(null==e\|\|0===this.units.length)return e;if(this._isDerived()){var o=e;a=s._getNumberConverter(_(e));for(var u=0;u<this.units.length;u++)t=a(this.units[u].unit.value),i=a(this.units[u].prefix.value),n=a(this.units[u].power),o=x(o,w(x(t,i),n));return o}return a=s._getNumberConverter(_(e)),t=a(this.units[0].unit.value),r=a(this.units[0].unit.offset),i=a(this.units[0].prefix.value),x(d(e,r),x(t,i))},s.prototype._denormalize=function(e,t){var r,n,i,a,o;if(null==e\|\|0===this.units.length)return e;if(this._isDerived()){var u=e;o=s._getNumberConverter(_(e));for(var c=0;c<this.units.length;c++)r=o(this.units[c].unit.value),a=o(this.units[c].prefix.value),i=o(this.units[c].power),u=b(u,w(x(r,a),i));return u}return o=s._getNumberConverter(_(e)),r=o(this.units[0].unit.value),a=o(this.units[0].prefix.value),n=o(this.units[0].unit.offset),void 0==t?y(b(b(e,r),a),n):y(b(b(e,r),t),n)},s.isValuelessUnit=function(e){return null!=v(e)},s.prototype.hasBase=function(e){if("string"==typeof e&&(e=P[e]),!e)return!1;for(var t=0;t<R.length;t++)if(Math.abs(this.dimensions[t]-e.dimensions[t])>1e-12)return!1;return!0},s.prototype.equalBase=function(e){for(var t=0;t<R.length;t++)if(Math.abs(this.dimensions[t]-e.dimensions[t])>1e-12)return!1;return!0},s.prototype.equals=function(e){return this.equalBase(e)&&E(this.value,e.value)},s.prototype.multiply=function(e){for(var t=this.clone(),r=0;r<R.length;r++)t.dimensions[r]=this.dimensions[r]+e.dimensions[r];for(var r=0;r<e.units.length;r++){var n=JSON.parse(JSON.stringify(e.units[r]));t.units.push(n)}if(null!=this.value\|\|null!=e.value){var i=null==this.value?this._normalize(1):this.value,a=null==e.value?e._normalize(1):e.value;t.value=x(i,a)}else t.value=null;return t.isUnitListSimplified=!1,t},s.prototype.divide=function(e){for(var t=this.clone(),r=0;r<R.length;r++)t.dimensions[r]=this.dimensions[r]-e.dimensions[r];for(var r=0;r<e.units.length;r++){var n=JSON.parse(JSON.stringify(e.units[r]));n.power=-n.power,t.units.push(n)}if(null!=this.value\|\|null!=e.value){var i=null==this.value?this._normalize(1):this.value,a=null==e.value?e._normalize(1):e.value;t.value=b(i,a)}else t.value=null;return t.isUnitListSimplified=!1,t},s.prototype.pow=function(e){for(var t=this.clone(),r=0;r<R.length;r++)t.dimensions[r]=this.dimensions[r]e;for(var r=0;r<t.units.length;r++)t.units[r].power=e;return null!=t.value?t.value=w(t.value,e):t.value=null,t.isUnitListSimplified=!1,t},s.prototype.abs=function(){var e=this.clone();e.value=N(e.value);for(var t in e.units)("VA"===e.units[t].unit.name\|\|"VAR"===e.units[t].unit.name)&&(e.units[t].unit=L.W);return e},s.prototype.to=function(e){var t,r=null==this.value?this._normalize(1):this.value;if("string"==typeof e){if(t=s.parse(e),!this.equalBase(t))throw new Error("Units do not match");if(null!==t.value)throw new Error("Cannot convert to a unit with a value");return t.value=a(r),t.fixPrefix=!0,t.isUnitListSimplified=!0,t}if(e&&e.isUnit){if(!this.equalBase(e))throw new Error("Units do not match");if(null!==e.value)throw new Error("Cannot convert to a unit with a value");return t=e.clone(),t.value=a(r),t.fixPrefix=!0,t.isUnitListSimplified=!0,t}throw new Error("String or Unit expected as parameter")},s.prototype.toNumber=function(e){return O(this.toNumeric(e))},s.prototype.toNumeric=function(e){var t=this.to(e);return t._isDerived()?t._denormalize(t.value):t._denormalize(t.value,t.units[0].prefix.value)},s.prototype.toString=function(){return this.format()},s.prototype.toJSON=function(){return{mathjs:"Unit",value:this._denormalize(this.value),unit:this.formatUnits(),fixPrefix:this.fixPrefix}},s.fromJSON=function(e){var t=new s(e.value,e.unit);return t.fixPrefix=e.fixPrefix\|\|!1,t},s.prototype.valueOf=s.prototype.toString,s.prototype.simplifyUnitListLazy=function(){if(!this.isUnitListSimplified&&null!=this.value){var e,t=[];for(var r in $)if(this.hasBase(P[r])){e=r;break}if("NONE"===e)this.units=[];else{var n;e&&$.hasOwnProperty(e)&&(n=$[e]);if(n)this.units=[{unit:n.unit,prefix:n.prefix,power:1}];else{for(var i=0;i<R.length;i++){var a=R[i];Math.abs(this.dimensions[i])>1e-12&&t.push({unit:$[a].unit,prefix:$[a].prefix,power:this.dimensions[i]})}t.length<this.units.length&&(this.units=t)}}this.isUnitListSimplified=!0}},s.prototype.formatUnits=function(){this.simplifyUnitListLazy();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 i=0;i<this.units.length;i++)this.units[i].power<0&&(r>0?(t+=" "+this.units[i].prefix.name+this.units[i].unit.name,Math.abs(this.units[i].power+1)>1e-15&&(t+="^"+-this.units[i].power)):(t+=" "+this.units[i].prefix.name+this.units[i].unit.name,t+="^"+this.units[i].power));e=e.substr(1),t=t.substr(1),r>1&&n>0&&(e="("+e+")"),n>1&&r>0&&(t="("+t+")");var a=e;return r>0&&n>0&&(a+=" / "),a+=t},s.prototype.format=function(e){this.simplifyUnitListLazy();var t=!1,r=!0;"undefined"!=typeof this.value&&null!==this.value&&this.value.isComplex&&(t=Math.abs(this.value.re)<1e-14,r=Math.abs(this.value.im)<1e-14);for(var n in this.units)this.units[n].unit&&("VA"===this.units[n].unit.name&&t?this.units[n].unit=L.VAR:"VAR"!==this.units[n].unit.name\|\|t\|\|(this.units[n].unit=L.VA));1!==this.units.length\|\|this.fixPrefix\|\|Math.abs(this.units[0].power-Math.round(this.units[0].power))<1e-14&&(this.units[0].prefix=this._bestPrefix());var i=this._denormalize(this.value),a=null!==this.value?A(i,e\|\|{}):"",o=this.formatUnits();return this.value&&this.value.isComplex&&(a="("+a+")"),o.length>0&&a.length>0&&(a+=" "),a+=o},s.prototype._bestPrefix=function(){if(1!==this.units.length)throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!");if(Math.abs(this.units[0].power-Math.round(this.units[0].power))>=1e-14)throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!");var e=N(this.value),t=N(this.units[0].unit.value),r=this.units[0].prefix;if(0===e)return r;var n=this.units[0].power,i=Math.abs(Math.log(e/Math.pow(r.valuet,n))/Math.LN10-1.2),a=this.units[0].unit.prefixes;for(var o in a)if(a.hasOwnProperty(o)){var s=a[o];if(s.scientific){var u=Math.abs(Math.log(e/Math.pow(s.valuet,n))/Math.LN10-1.2);(i>u\|\|u===i&&s.name.length<r.name.length)&&(r=s,i=u)}}return r};var B={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:{
37	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:{"":{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},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:{"":{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},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}}};B.SHORTLONG={};for(var k in B.SHORT)B.SHORT.hasOwnProperty(k)&&(B.SHORTLONG[k]=B.SHORT[k]);for(var k in B.LONG)B.LONG.hasOwnProperty(k)&&(B.SHORTLONG[k]=B.LONG[k]);var I={name:"",value:1,scientific:!0},R=["MASS","LENGTH","TIME","CURRENT","TEMPERATURE","LUMINOUS_INTENSITY","AMOUNT_OF_SUBSTANCE","ANGLE","BIT"],P={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 k in P)P[k].key=k;var U={},q={name:"",base:U,value:1,offset:0,dimensions:[0,0,0,0,0,0,0,0,0]},L={meter:{name:"meter",base:P.LENGTH,prefixes:B.LONG,value:1,offset:0},inch:{name:"inch",base:P.LENGTH,prefixes:B.NONE,value:.0254,offset:0},foot:{name:"foot",base:P.LENGTH,prefixes:B.NONE,value:.3048,offset:0},yard:{name:"yard",base:P.LENGTH,prefixes:B.NONE,value:.9144,offset:0},mile:{name:"mile",base:P.LENGTH,prefixes:B.NONE,value:1609.344,offset:0},link:{name:"link",base:P.LENGTH,prefixes:B.NONE,value:.201168,offset:0},rod:{name:"rod",base:P.LENGTH,prefixes:B.NONE,value:5.02921,offset:0},chain:{name:"chain",base:P.LENGTH,prefixes:B.NONE,value:20.1168,offset:0},angstrom:{name:"angstrom",base:P.LENGTH,prefixes:B.NONE,value:1e-10,offset:0},m:{name:"m",base:P.LENGTH,prefixes:B.SHORT,value:1,offset:0},"in":{name:"in",base:P.LENGTH,prefixes:B.NONE,value:.0254,offset:0},ft:{name:"ft",base:P.LENGTH,prefixes:B.NONE,value:.3048,offset:0},yd:{name:"yd",base:P.LENGTH,prefixes:B.NONE,value:.9144,offset:0},mi:{name:"mi",base:P.LENGTH,prefixes:B.NONE,value:1609.344,offset:0},li:{name:"li",base:P.LENGTH,prefixes:B.NONE,value:.201168,offset:0},rd:{name:"rd",base:P.LENGTH,prefixes:B.NONE,value:5.02921,offset:0},ch:{name:"ch",base:P.LENGTH,prefixes:B.NONE,value:20.1168,offset:0},mil:{name:"mil",base:P.LENGTH,prefixes:B.NONE,value:254e-7,offset:0},m2:{name:"m2",base:P.SURFACE,prefixes:B.SQUARED,value:1,offset:0},sqin:{name:"sqin",base:P.SURFACE,prefixes:B.NONE,value:64516e-8,offset:0},sqft:{name:"sqft",base:P.SURFACE,prefixes:B.NONE,value:.09290304,offset:0},sqyd:{name:"sqyd",base:P.SURFACE,prefixes:B.NONE,value:.83612736,offset:0},sqmi:{name:"sqmi",base:P.SURFACE,prefixes:B.NONE,value:2589988.110336,offset:0},sqrd:{name:"sqrd",base:P.SURFACE,prefixes:B.NONE,value:25.29295,offset:0},sqch:{name:"sqch",base:P.SURFACE,prefixes:B.NONE,value:404.6873,offset:0},sqmil:{name:"sqmil",base:P.SURFACE,prefixes:B.NONE,value:6.4516e-10,offset:0},m3:{name:"m3",base:P.VOLUME,prefixes:B.CUBIC,value:1,offset:0},L:{name:"L",base:P.VOLUME,prefixes:B.SHORT,value:.001,offset:0},l:{name:"l",base:P.VOLUME,prefixes:B.SHORT,value:.001,offset:0},litre:{name:"litre",base:P.VOLUME,prefixes:B.LONG,value:.001,offset:0},cuin:{name:"cuin",base:P.VOLUME,prefixes:B.NONE,value:16387064e-12,offset:0},cuft:{name:"cuft",base:P.VOLUME,prefixes:B.NONE,value:.028316846592,offset:0},cuyd:{name:"cuyd",base:P.VOLUME,prefixes:B.NONE,value:.764554857984,offset:0},teaspoon:{name:"teaspoon",base:P.VOLUME,prefixes:B.NONE,value:5e-6,offset:0},tablespoon:{name:"tablespoon",base:P.VOLUME,prefixes:B.NONE,value:15e-6,offset:0},drop:{name:"drop",base:P.VOLUME,prefixes:B.NONE,value:5e-8,offset:0},gtt:{name:"gtt",base:P.VOLUME,prefixes:B.NONE,value:5e-8,offset:0},minim:{name:"minim",base:P.VOLUME,prefixes:B.NONE,value:6.161152e-8,offset:0},fluiddram:{name:"fluiddram",base:P.VOLUME,prefixes:B.NONE,value:36966911e-13,offset:0},fluidounce:{name:"fluidounce",base:P.VOLUME,prefixes:B.NONE,value:2957353e-11,offset:0},gill:{name:"gill",base:P.VOLUME,prefixes:B.NONE,value:.0001182941,offset:0},cc:{name:"cc",base:P.VOLUME,prefixes:B.NONE,value:1e-6,offset:0},cup:{name:"cup",base:P.VOLUME,prefixes:B.NONE,value:.0002365882,offset:0},pint:{name:"pint",base:P.VOLUME,prefixes:B.NONE,value:.0004731765,offset:0},quart:{name:"quart",base:P.VOLUME,prefixes:B.NONE,value:.0009463529,offset:0},gallon:{name:"gallon",base:P.VOLUME,prefixes:B.NONE,value:.003785412,offset:0},beerbarrel:{name:"beerbarrel",base:P.VOLUME,prefixes:B.NONE,value:.1173478,offset:0},oilbarrel:{name:"oilbarrel",base:P.VOLUME,prefixes:B.NONE,value:.1589873,offset:0},hogshead:{name:"hogshead",base:P.VOLUME,prefixes:B.NONE,value:.238481,offset:0},fldr:{name:"fldr",base:P.VOLUME,prefixes:B.NONE,value:36966911e-13,offset:0},floz:{name:"floz",base:P.VOLUME,prefixes:B.NONE,value:2957353e-11,offset:0},gi:{name:"gi",base:P.VOLUME,prefixes:B.NONE,value:.0001182941,offset:0},cp:{name:"cp",base:P.VOLUME,prefixes:B.NONE,value:.0002365882,offset:0},pt:{name:"pt",base:P.VOLUME,prefixes:B.NONE,value:.0004731765,offset:0},qt:{name:"qt",base:P.VOLUME,prefixes:B.NONE,value:.0009463529,offset:0},gal:{name:"gal",base:P.VOLUME,prefixes:B.NONE,value:.003785412,offset:0},bbl:{name:"bbl",base:P.VOLUME,prefixes:B.NONE,value:.1173478,offset:0},obl:{name:"obl",base:P.VOLUME,prefixes:B.NONE,value:.1589873,offset:0},g:{name:"g",base:P.MASS,prefixes:B.SHORT,value:.001,offset:0},gram:{name:"gram",base:P.MASS,prefixes:B.LONG,value:.001,offset:0},ton:{name:"ton",base:P.MASS,prefixes:B.SHORT,value:907.18474,offset:0},tonne:{name:"tonne",base:P.MASS,prefixes:B.SHORT,value:1e3,offset:0},grain:{name:"grain",base:P.MASS,prefixes:B.NONE,value:6479891e-11,offset:0},dram:{name:"dram",base:P.MASS,prefixes:B.NONE,value:.0017718451953125,offset:0},ounce:{name:"ounce",base:P.MASS,prefixes:B.NONE,value:.028349523125,offset:0},poundmass:{name:"poundmass",base:P.MASS,prefixes:B.NONE,value:.45359237,offset:0},hundredweight:{name:"hundredweight",base:P.MASS,prefixes:B.NONE,value:45.359237,offset:0},stick:{name:"stick",base:P.MASS,prefixes:B.NONE,value:.115,offset:0},stone:{name:"stone",base:P.MASS,prefixes:B.NONE,value:6.35029318,offset:0},gr:{name:"gr",base:P.MASS,prefixes:B.NONE,value:6479891e-11,offset:0},dr:{name:"dr",base:P.MASS,prefixes:B.NONE,value:.0017718451953125,offset:0},oz:{name:"oz",base:P.MASS,prefixes:B.NONE,value:.028349523125,offset:0},lbm:{name:"lbm",base:P.MASS,prefixes:B.NONE,value:.45359237,offset:0},cwt:{name:"cwt",base:P.MASS,prefixes:B.NONE,value:45.359237,offset:0},s:{name:"s",base:P.TIME,prefixes:B.SHORT,value:1,offset:0},min:{name:"min",base:P.TIME,prefixes:B.NONE,value:60,offset:0},h:{name:"h",base:P.TIME,prefixes:B.NONE,value:3600,offset:0},second:{name:"second",base:P.TIME,prefixes:B.LONG,value:1,offset:0},sec:{name:"sec",base:P.TIME,prefixes:B.LONG,value:1,offset:0},minute:{name:"minute",base:P.TIME,prefixes:B.NONE,value:60,offset:0},hour:{name:"hour",base:P.TIME,prefixes:B.NONE,value:3600,offset:0},day:{name:"day",base:P.TIME,prefixes:B.NONE,value:86400,offset:0},week:{name:"week",base:P.TIME,prefixes:B.NONE,value:604800,offset:0},month:{name:"month",base:P.TIME,prefixes:B.NONE,value:2629800,offset:0},year:{name:"year",base:P.TIME,prefixes:B.NONE,value:31557600,offset:0},decade:{name:"year",base:P.TIME,prefixes:B.NONE,value:315576e3,offset:0},century:{name:"century",base:P.TIME,prefixes:B.NONE,value:315576e4,offset:0},millennium:{name:"millennium",base:P.TIME,prefixes:B.NONE,value:315576e5,offset:0},hertz:{name:"Hertz",base:P.FREQUENCY,prefixes:B.LONG,value:1,offset:0,reciprocal:!0},Hz:{name:"Hz",base:P.FREQUENCY,prefixes:B.SHORT,value:1,offset:0,reciprocal:!0},rad:{name:"rad",base:P.ANGLE,prefixes:B.NONE,value:1,offset:0},deg:{name:"deg",base:P.ANGLE,prefixes:B.NONE,value:.017453292519943295,offset:0},grad:{name:"grad",base:P.ANGLE,prefixes:B.NONE,value:.015707963267948967,offset:0},cycle:{name:"cycle",base:P.ANGLE,prefixes:B.NONE,value:6.283185307179586,offset:0},arcsec:{name:"arcsec",base:P.ANGLE,prefixes:B.NONE,value:484813681109536e-20,offset:0},arcmin:{name:"arcmin",base:P.ANGLE,prefixes:B.NONE,value:.0002908882086657216,offset:0},A:{name:"A",base:P.CURRENT,prefixes:B.SHORT,value:1,offset:0},ampere:{name:"ampere",base:P.CURRENT,prefixes:B.LONG,value:1,offset:0},K:{name:"K",base:P.TEMPERATURE,prefixes:B.NONE,value:1,offset:0},degC:{name:"degC",base:P.TEMPERATURE,prefixes:B.NONE,value:1,offset:273.15},degF:{name:"degF",base:P.TEMPERATURE,prefixes:B.NONE,value:1/1.8,offset:459.67},degR:{name:"degR",base:P.TEMPERATURE,prefixes:B.NONE,value:1/1.8,offset:0},kelvin:{name:"kelvin",base:P.TEMPERATURE,prefixes:B.NONE,value:1,offset:0},celsius:{name:"celsius",base:P.TEMPERATURE,prefixes:B.NONE,value:1,offset:273.15},fahrenheit:{name:"fahrenheit",base:P.TEMPERATURE,prefixes:B.NONE,value:1/1.8,offset:459.67},rankine:{name:"rankine",base:P.TEMPERATURE,prefixes:B.NONE,value:1/1.8,offset:0},mol:{name:"mol",base:P.AMOUNT_OF_SUBSTANCE,prefixes:B.NONE,value:1,offset:0},mole:{name:"mole",base:P.AMOUNT_OF_SUBSTANCE,prefixes:B.NONE,value:1,offset:0},cd:{name:"cd",base:P.LUMINOUS_INTENSITY,prefixes:B.NONE,value:1,offset:0},candela:{name:"candela",base:P.LUMINOUS_INTENSITY,prefixes:B.NONE,value:1,offset:0},N:{name:"N",base:P.FORCE,prefixes:B.SHORT,value:1,offset:0},newton:{name:"newton",base:P.FORCE,prefixes:B.LONG,value:1,offset:0},dyn:{name:"dyn",base:P.FORCE,prefixes:B.SHORT,value:1e-5,offset:0},dyne:{name:"dyne",base:P.FORCE,prefixes:B.LONG,value:1e-5,offset:0},lbf:{name:"lbf",base:P.FORCE,prefixes:B.NONE,value:4.4482216152605,offset:0},poundforce:{name:"poundforce",base:P.FORCE,prefixes:B.NONE,value:4.4482216152605,offset:0},J:{name:"J",base:P.ENERGY,prefixes:B.SHORT,value:1,offset:0},joule:{name:"joule",base:P.ENERGY,prefixes:B.SHORT,value:1,offset:0},erg:{name:"erg",base:P.ENERGY,prefixes:B.NONE,value:1e-5,offset:0},Wh:{name:"Wh",base:P.ENERGY,prefixes:B.SHORT,value:3600,offset:0},BTU:{name:"BTU",base:P.ENERGY,prefixes:B.BTU,value:1055.05585262,offset:0},eV:{name:"eV",base:P.ENERGY,prefixes:B.SHORT,value:1.602176565e-19,offset:0},electronvolt:{name:"electronvolt",base:P.ENERGY,prefixes:B.LONG,value:1.602176565e-19,offset:0},W:{name:"W",base:P.POWER,prefixes:B.SHORT,value:1,offset:0},watt:{name:"W",base:P.POWER,prefixes:B.LONG,value:1,offset:0},hp:{name:"hp",base:P.POWER,prefixes:B.NONE,value:745.6998715386,offset:0},VAR:{name:"VAR",base:P.POWER,prefixes:B.SHORT,value:new T(0,1),offset:0},VA:{name:"VA",base:P.POWER,prefixes:B.SHORT,value:1,offset:0},Pa:{name:"Pa",base:P.PRESSURE,prefixes:B.SHORT,value:1,offset:0},psi:{name:"psi",base:P.PRESSURE,prefixes:B.NONE,value:6894.75729276459,offset:0},atm:{name:"atm",base:P.PRESSURE,prefixes:B.NONE,value:101325,offset:0},coulomb:{name:"coulomb",base:P.ELECTRIC_CHARGE,prefixes:B.LONG,value:1,offset:0},C:{name:"C",base:P.ELECTRIC_CHARGE,prefixes:B.SHORT,value:1,offset:0},farad:{name:"farad",base:P.ELECTRIC_CAPACITANCE,prefixes:B.LONG,value:1,offset:0},F:{name:"F",base:P.ELECTRIC_CAPACITANCE,prefixes:B.SHORT,value:1,offset:0},volt:{name:"volt",base:P.ELECTRIC_POTENTIAL,prefixes:B.LONG,value:1,offset:0},V:{name:"V",base:P.ELECTRIC_POTENTIAL,prefixes:B.SHORT,value:1,offset:0},ohm:{name:"ohm",base:P.ELECTRIC_RESISTANCE,prefixes:B.SHORTLONG,value:1,offset:0},henry:{name:"henry",base:P.ELECTRIC_INDUCTANCE,prefixes:B.LONG,value:1,offset:0},H:{name:"H",base:P.ELECTRIC_INDUCTANCE,prefixes:B.SHORT,value:1,offset:0},siemens:{name:"siemens",base:P.ELECTRIC_CONDUCTANCE,prefixes:B.LONG,value:1,offset:0},S:{name:"S",base:P.ELECTRIC_CONDUCTANCE,prefixes:B.SHORT,value:1,offset:0},weber:{name:"weber",base:P.MAGNETIC_FLUX,prefixes:B.LONG,value:1,offset:0},Wb:{name:"Wb",base:P.MAGNETIC_FLUX,prefixes:B.SHORT,value:1,offset:0},tesla:{name:"tesla",base:P.MAGNETIC_FLUX_DENSITY,prefixes:B.LONG,value:1,offset:0},T:{name:"T",base:P.MAGNETIC_FLUX_DENSITY,prefixes:B.SHORT,value:1,offset:0},b:{name:"b",base:P.BIT,prefixes:B.BINARY_SHORT,value:1,offset:0},bits:{name:"bits",base:P.BIT,prefixes:B.BINARY_LONG,value:1,offset:0},B:{name:"B",base:P.BIT,prefixes:B.BINARY_SHORT,value:8,offset:0},bytes:{name:"bytes",base:P.BIT,prefixes:B.BINARY_LONG,value:8,offset:0}},F={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",seconds:"second",secs:"second",minutes:"minute",mins:"minute",hours:"hour",hr:"hour",hrs:"hour",days:"day",hertz:"hertz",radians:"rad",degree:"deg",degrees:"deg",gradian:"grad",gradians:"grad",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"},D={si:{NONE:{unit:q,prefix:B.NONE[""]},LENGTH:{unit:L.m,prefix:B.SHORT[""]},MASS:{unit:L.g,prefix:B.SHORT.k},TIME:{unit:L.s,prefix:B.SHORT[""]},CURRENT:{unit:L.A,prefix:B.SHORT[""]},TEMPERATURE:{unit:L.K,prefix:B.SHORT[""]},LUMINOUS_INTENSITY:{unit:L.cd,prefix:B.SHORT[""]},AMOUNT_OF_SUBSTANCE:{unit:L.mol,prefix:B.SHORT[""]},ANGLE:{unit:L.rad,prefix:B.SHORT[""]},BIT:{unit:L.bit,prefix:B.SHORT[""]},FORCE:{unit:L.N,prefix:B.SHORT[""]},ENERGY:{unit:L.J,prefix:B.SHORT[""]},POWER:{unit:L.W,prefix:B.SHORT[""]},PRESSURE:{unit:L.Pa,prefix:B.SHORT[""]},ELECTRIC_CHARGE:{unit:L.C,prefix:B.SHORT[""]},ELECTRIC_CAPACITANCE:{unit:L.F,prefix:B.SHORT[""]},ELECTRIC_POTENTIAL:{unit:L.V,prefix:B.SHORT[""]},ELECTRIC_RESISTANCE:{unit:L.ohm,prefix:B.SHORT[""]},ELECTRIC_INDUCTANCE:{unit:L.H,prefix:B.SHORT[""]},ELECTRIC_CONDUCTANCE:{unit:L.S,prefix:B.SHORT[""]},MAGNETIC_FLUX:{unit:L.Wb,prefix:B.SHORT[""]},MAGNETIC_FLUX_DENSITY:{unit:L.T,prefix:B.SHORT[""]},FREQUENCY:{unit:L.Hz,prefix:B.SHORT[""]}}};D.cgs=JSON.parse(JSON.stringify(D.si)),D.cgs.LENGTH={unit:L.m,prefix:B.SHORT.c},D.cgs.MASS={unit:L.g,prefix:B.SHORT[""]},D.cgs.FORCE={unit:L.dyn,prefix:B.SHORT[""]},D.cgs.ENERGY={unit:L.erg,prefix:B.NONE[""]},D.us=JSON.parse(JSON.stringify(D.si)),D.us.LENGTH={unit:L.ft,prefix:B.NONE[""]},D.us.MASS={unit:L.lbm,prefix:B.NONE[""]},D.us.TEMPERATURE={unit:L.degF,prefix:B.NONE[""]},D.us.FORCE={unit:L.lbf,prefix:B.NONE[""]},D.us.ENERGY={unit:L.BTU,prefix:B.BTU[""]},D.us.POWER={unit:L.hp,prefix:B.NONE[""]},D.us.PRESSURE={unit:L.psi,prefix:B.NONE[""]},D.auto=JSON.parse(JSON.stringify(D.si));var $=D.auto;s.setUnitSystem=function(e){if(!D.hasOwnProperty(e))throw new Error("Unit system "+e+" does not exist. Choices are: "+Object.keys(D).join(", "));$=D[e]},s.getUnitSystem=function(){for(var e in D)if(D[e]===$)return e},s.typeConverters={BigNumber:function(t){return new e.BigNumber(t+"")},Fraction:function(t){return new e.Fraction(t)},Complex:function(e){return e},number:function(e){return e}},s._getNumberConverter=function(e){if(!s.typeConverters[e])throw new TypeError('Unsupported type "'+e+'"');return s.typeConverters[e]};for(var k in L){var j=L[k];j.dimensions=j.base.dimensions}for(var G in F)if(F.hasOwnProperty(G)){var j=L[F[G]],H=Object.create(j);H.name=G,L[G]=H}return s.PREFIXES=B,s.BASE_UNITS=P,s.UNITS=L,s.UNIT_SYSTEMS=D,s}var i=r(23).endsWith,a=r(3).clone;t.name="Unit",t.path="type",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=r(29),s=n(r(50)),u=n(r(51)),c=n(r(75)),f=n(r(52)),l=n(r(59)),p=n(r(76)),m=n(r(54)),h=n(r(55)),g=n(r(56)),v=a("subtract",{"number, number":function(e,t){return e-t},"Complex, Complex":function(t,r){return new e.Complex(t.re-r.re,t.im-r.im)},"BigNumber, BigNumber":function(e,t){return e.minus(t)},"Fraction, Fraction":function(e,t){return e.sub(t)},"Unit, Unit":function(e,t){if(null==e.value)throw new Error("Parameter x contains a unit with undefined value");if(null==t.value)throw new Error("Parameter y contains a unit with undefined value");if(!e.equalBase(t))throw new Error("Units do not match");var r=e.clone();return r.value=v(r.value,t.value),r.fixPrefix=!1,r},"Matrix, Matrix":function(e,t){var r=e.size(),n=t.size();if(r.length!==n.length)throw new i(r.length,n.length);var a;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":a=p(e,t,v);break;default:a=l(t,e,v,!0)}break;default:switch(t.storage()){case"sparse":a=f(e,t,v,!1);break;default:a=h(e,t,v)}}return a},"Array, Array":function(e,t){return v(s(e),s(t)).valueOf()},"Array, Matrix":function(e,t){return v(s(e),t)},"Matrix, Array":function(e,t){return v(e,s(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=m(e,c(t),u);break;default:r=g(e,t,v)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=m(t,e,v,!0);break;default:r=g(t,e,v,!0)}return r},"Array, any":function(e,t){return g(s(e),t,v,!1).valueOf()},"any, Array":function(e,t){return g(s(t),e,v,!0).valueOf()}});return v.toTex="\\left(${args[0]}"+o.operators.subtract+"${args[1]}\\right)",v}var i=r(41);t.name="subtract",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=r(29),s=a("unaryMinus",{number:function(e){return-e},Complex:function(t){return new e.Complex(-t.re,-t.im)},BigNumber:function(e){return e.neg()},Fraction:function(e){return e.neg()},Unit:function(e){var t=e.clone();return t.value=s(e.value),t},"Array \| Matrix":function(e){return i(e,s,!0)}});return s.toTex=o.operators.unaryMinus+"\\left(${args[0]}\\right)",s}var i=r(19);t.name="unaryMinus",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){var o=n(r(47)),s=e.SparseMatrix,u=function(e,t,r){var n=e._values,u=e._index,c=e._ptr,f=e._size,l=e._datatype,p=t._values,m=t._index,h=t._ptr,g=t._size,v=t._datatype;if(f.length!==g.length)throw new i(f.length,g.length);if(f[0]!==g[0]\|\|f[1]!==g[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+g+")");var d,y=f[0],x=f[1],b=o,w=0,N=r;"string"==typeof l&&l===v&&(d=l,b=a.find(o,[d,d]),w=a.convert(0,d),N=a.find(r,[d,d]));var E,M,A,_,O=n&&p?[]:void 0,T=[],C=[],S=new s({values:O,index:T,ptr:C,size:[y,x],datatype:d}),z=O?[]:void 0,B=O?[]:void 0,k=[],I=[];for(M=0;x>M;M++){C[M]=T.length;var R=M+1;for(A=c[M],_=c[M+1];_>A;A++)E=u[A],T.push(E),k[E]=R,z&&(z[E]=n[A]);for(A=h[M],_=h[M+1];_>A;A++)E=m[A],k[E]!==R&&T.push(E),I[E]=R,B&&(B[E]=p[A]);if(O)for(A=C[M];A<T.length;){E=T[A];var P=k[E],U=I[E];if(P===R\|\|U===R){var q=P===R?z[E]:w,L=U===R?B[E]:w,F=N(q,L);b(F,w)?T.splice(A,1):(O.push(F),A++)}}}return C[x]=T.length,S};return u}var i=r(41);t.name="algorithm05",t.factory=n},function(e,t){"use strict";function r(e,t,r,n){var i=n("multiplyScalar",{"number, number":function(e,t){return et},"Complex, Complex":function(t,r){return new e.Complex(t.rer.re-t.imr.im,t.rer.im+t.imr.re)},"BigNumber, BigNumber":function(e,t){return e.times(t)},"Fraction, Fraction":function(e,t){return e.mul(t)},"number \| Fraction \| BigNumber \| Complex, Unit":function(e,t){var r=t.clone();return r.value=null===r.value?r._normalize(e):i(r.value,e),r},"Unit, number \| Fraction \| BigNumber \| Complex":function(e,t){var r=e.clone();return r.value=null===r.value?r._normalize(t):i(r.value,t),r},"Unit, Unit":function(e,t){return e.multiply(t)}});return i}t.factory=r},function(e,t,r){"use strict";function n(e,t,n,i){function a(t,r){var n=r.rer.re+r.imr.im;return 0!=n?new e.Complex((t.rer.re+t.imr.im)/n,(t.imr.re-t.rer.im)/n):new e.Complex(0!=t.re?t.re/0:0,0!=t.im?t.im/0:0)}var o=n(r(77)),s=i("divide",{"number, number":function(e,t){return e/t},"Complex, Complex":a,"BigNumber, BigNumber":function(e,t){return e.div(t)},"Fraction, Fraction":function(e,t){return e.div(t)},"Unit, number \| Fraction \| BigNumber":function(e,t){var r=e.clone();return r.value=s(null===r.value?r._normalize(1):r.value,t),r},"number \| Fraction \| BigNumber, Unit":function(e,t){var r=t.pow(-1);return r.value=o(null===r.value?r._normalize(1):r.value,e),r},"Unit, Unit":function(e,t){return e.divide(t)}});return s}t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){function s(r,n){return i(n)\|\|r>=0\|\|t.predictable?Math.pow(r,n):u(new e.Complex(r,0),new e.Complex(n,0))}function u(e,t){return p(g(h(e),t))}function c(e,t){if(!i(t)\|\|0>t)throw new TypeError("For A^b, b must be a positive integer (value is "+t+")");var r=a(e);if(2!=r.length)throw new Error("For A^b, A must be 2 dimensional (A has "+r.length+" dimensions)");if(r[0]!=r[1])throw new Error("For A^b, A must be square (size is "+r[0]+"x"+r[1]+")");for(var n=m(r[0]).valueOf(),o=e;t>=1;)1==(1&t)&&(n=g(o,n)),t>>=1,o=g(o,o);return n}function f(e,t){return v(c(e.valueOf(),t))}var l=r(29),p=n(r(80)),m=n(r(81)),h=n(r(82)),g=n(r(83)),v=n(r(50)),d=o("pow",{"number, number":s,"Complex, Complex":u,"BigNumber, BigNumber":function(r,n){return n.isInteger()\|\|r>=0\|\|t.predictable?r.pow(n):u(new e.Complex(r.toNumber(),0),new e.Complex(n.toNumber(),0))},"Fraction, Fraction":function(e,r){if(1!==r.d){if(t.predictable)throw new Error("Function pow does not support non-integer exponents for fractions.");return s(e.valueOf(),r.valueOf())}return e.pow(r)},"Array, number":c,"Array, BigNumber":function(e,t){return c(e,t.toNumber())},"Matrix, number":f,"Matrix, BigNumber":function(e,t){return f(e,t.toNumber())},"Unit, number":function(e,t){return e.pow(t)}});return d.toTex="\\left(${args[0]}\\right)"+l.operators.pow+"{${args[1]}}",d}var i=r(6).isInteger,a=r(39).size;t.name="pow",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("exp",{number:Math.exp,Complex:function(t){var r=Math.exp(t.re);return new e.Complex(rMath.cos(t.im),rMath.sin(t.im))},BigNumber:function(e){return e.exp()},"Array \| Matrix":function(e){return i(e,a)}});return a.toTex="\\exp\\left(${args[0]}\\right)",a}var i=r(19);t.name="exp",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){function s(e,t){switch(e.length){case 0:return t?c(t):[];case 1:return u(e[0],e[0],t);case 2:return u(e[0],e[1],t);default:throw new Error("Vector containing two values expected")}}function u(t,r,n){var o=t&&t.isBigNumber===!0?e.BigNumber:r&&r.isBigNumber===!0?e.BigNumber:null;if(t&&t.isBigNumber===!0&&(t=t.toNumber()),r&&r.isBigNumber===!0&&(r=r.toNumber()),!a(t)\|\|1>t)throw new Error("Parameters in function eye must be positive integers");if(!a(r)\|\|1>r)throw new Error("Parameters in function eye must be positive integers");var s=o?new e.BigNumber(1):1,u=o?new o(0):0,c=[t,r];if(n){var f=e.Matrix.storage(n);return f.diagonal(c,s,0,u)}for(var l=i.resize([],c,u),p=r>t?t:r,m=0;p>m;m++)l[m][m]=s;return l}var c=n(r(50)),f=o("eye",{"":function(){return"matrix"===t.matrix?c([]):[]},string:function(e){return c(e)},"number \| BigNumber":function(e){return u(e,e,"matrix"===t.matrix?"default":void 0)},"number \| BigNumber, string":function(e,t){return u(e,e,t)},"number \| BigNumber, number \| BigNumber":function(e,r){return u(e,r,"matrix"===t.matrix?"default":void 0)},"number \| BigNumber, number \| BigNumber, string":function(e,t,r){return u(e,t,r)},Array:function(e){return s(e)},"Array, string":function(e,t){return s(e,t)},Matrix:function(e){return s(e.valueOf(),e.storage())},"Matrix, string":function(e,t){return s(e.valueOf(),t)}});return f.toTex="\\mathrm{${name}}\\left(${args}\\right)",f}var i=r(39),a=r(6).isInteger;t.name="eye",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,a){function o(r){return r>=0\|\|t.predictable?Math.log(r):c(new e.Complex(r,0))}function s(t){return new e.Complex(Math.log(Math.sqrt(t.ret.re+t.im*t.im)),Math.atan2(t.im,t.re))}var u=n(r(78)),c=a("log",{number:o,Complex:s,BigNumber:function(r){return!r.isNegative()\|\|t.predictable?r.ln():s(new e.Complex(r.toNumber(),0))},"Array \| Matrix":function(e){return i(e,c)},"any, any":function(e,t){return u(c(e),c(t))}});return c.toTex={1:"\\ln\\left(${args[0]}\\right)",2:"\\log_{${args[1]}}\\left(${args[0]}\\right)"},c}var i=r(19);t.name="log",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,o){var s=r(29),u=n(r(50)),c=n(r(51)),f=n(r(77)),l=n(r(47)),p=n(r(84)),m=n(r(56)),h=e.DenseMatrix,g=e.SparseMatrix,v=o("multiply",i({"Array, Array":function(e,t){d(a.size(e),a.size(t));var r=v(u(e),u(t));return r&&r.isMatrix===!0?r.valueOf():r},"Matrix, Matrix":function(e,t){var r=e.size(),n=t.size();return d(r,n),1===r.length?1===n.length?y(e,t,r[0]):x(e,t):1===n.length?w(e,t):N(e,t)},"Matrix, Array":function(e,t){return v(e,u(t))},"Array, Matrix":function(e,t){return v(u(e,t.storage()),t)},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=p(e,t,f,!1);break;case"dense":r=m(e,t,f,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=p(t,e,f,!0);break;case"dense":r=m(t,e,f,!0)}return r},"Array, any":function(e,t){return m(u(e),t,f,!1).valueOf()},"any, Array":function(e,t){return m(u(t),e,f,!0).valueOf()}},f.signatures)),d=function(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)")}},y=function(e,t,r){if(0===r)throw new Error("Cannot multiply two empty vectors");var n,i=e._data,a=e._datatype,s=t._data,u=t._datatype,l=c,p=f;a&&u&&a===u&&"string"==typeof a&&(n=a,l=o.find(c,[n,n]),p=o.find(f,[n,n]));for(var m=p(i[0],s[0]),h=1;r>h;h++)m=l(m,p(i[h],s[h]));return m},x=function(e,t){switch(t.storage()){case"dense":return b(e,t)}throw new Error("Not implemented")},b=function(e,t){var r,n=e._data,i=e._size,a=e._datatype,s=t._data,u=t._size,l=t._datatype,p=i[0],m=u[1],g=c,v=f;a&&l&&a===l&&"string"==typeof a&&(r=a,g=o.find(c,[r,r]),v=o.find(f,[r,r]));for(var d=[],y=0;m>y;y++){for(var x=v(n[0],s[0][y]),b=1;p>b;b++)x=g(x,v(n[b],s[b][y]));d[y]=x}return 1===m?d[0]:new h({data:d,size:[m],datatype:r})},w=function(e,t){switch(e.storage()){case"dense":return E(e,t);case"sparse":return _(e,t)}},N=function(e,t){switch(e.storage()){case"dense":switch(t.storage()){case"dense":return M(e,t);case"sparse":return A(e,t)}break;case"sparse":switch(t.storage()){case"dense":return O(e,t);case"sparse":return T(e,t)}}},E=function(e,t){var r,n=e._data,i=e._size,a=e._datatype,s=t._data,u=t._datatype,l=i[0],p=i[1],m=c,g=f;a&&u&&a===u&&"string"==typeof a&&(r=a,m=o.find(c,[r,r]),g=o.find(f,[r,r]));for(var v=[],d=0;l>d;d++){for(var y=n[d],x=g(y[0],s[0]),b=1;p>b;b++)x=m(x,g(y[b],s[b]));v[d]=x}return 1===l?v[0]:new h({data:v,size:[l],datatype:r})},M=function(e,t){var r,n=e._data,i=e._size,a=e._datatype,s=t._data,u=t._size,l=t._datatype,p=i[0],m=i[1],g=u[1],v=c,d=f;
38	a&&l&&a===l&&"string"==typeof a&&(r=a,v=o.find(c,[r,r]),d=o.find(f,[r,r]));for(var y=[],x=0;p>x;x++){var b=n[x];y[x]=[];for(var w=0;g>w;w++){for(var N=d(b[0],s[0][w]),E=1;m>E;E++)N=v(N,d(b[E],s[E][w]));y[x][w]=N}}return 1===p&&1===g?y[0][0]:new h({data:y,size:[p,g],datatype:r})},A=function(e,t){var r=e._data,n=e._size,i=e._datatype,a=t._values,s=t._index,u=t._ptr,p=t._size,m=t._datatype;if(!a)throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix");var h,v=n[0],d=p[1],y=c,x=f,b=l,w=0;i&&m&&i===m&&"string"==typeof i&&(h=i,y=o.find(c,[h,h]),x=o.find(f,[h,h]),b=o.find(l,[h,h]),w=o.convert(0,h));for(var N=[],E=[],M=[],A=new g({values:N,index:E,ptr:M,size:[v,d],datatype:h}),_=0;d>_;_++){M[_]=E.length;var O=u[_],T=u[_+1];if(T>O)for(var C=0,S=0;v>S;S++){for(var z,B=S+1,k=O;T>k;k++){var I=s[k];C!==B?(z=x(r[S][I],a[k]),C=B):z=y(z,x(r[S][I],a[k]))}C!==B\|\|b(z,w)\|\|(E.push(S),N.push(z))}}return M[d]=E.length,1===v&&1===d?1===N.length?N[0]:0:A},_=function(e,t){var r=e._values,n=e._index,i=e._ptr,a=e._datatype;if(!r)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var s,u=t._data,p=t._datatype,m=e._size[0],h=t._size[0],v=[],d=[],y=[],x=c,b=f,w=l,N=0;a&&p&&a===p&&"string"==typeof a&&(s=a,x=o.find(c,[s,s]),b=o.find(f,[s,s]),w=o.find(l,[s,s]),N=o.convert(0,s));var E=[],M=[];y[0]=0;for(var A=0;h>A;A++){var _=u[A];if(!w(_,N))for(var O=i[A],T=i[A+1],C=O;T>C;C++){var S=n[C];M[S]?E[S]=x(E[S],b(_,r[C])):(M[S]=!0,d.push(S),E[S]=b(_,r[C]))}}for(var z=d.length,B=0;z>B;B++){var k=d[B];v[B]=E[k]}return y[1]=d.length,1===m?1===v.length?v[0]:0:new g({values:v,index:d,ptr:y,size:[m,1],datatype:s})},O=function(e,t){var r=e._values,n=e._index,i=e._ptr,a=e._datatype;if(!r)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var s,u=t._data,p=t._datatype,m=e._size[0],h=t._size[0],v=t._size[1],d=c,y=f,x=l,b=0;a&&p&&a===p&&"string"==typeof a&&(s=a,d=o.find(c,[s,s]),y=o.find(f,[s,s]),x=o.find(l,[s,s]),b=o.convert(0,s));for(var w=[],N=[],E=[],M=new g({values:w,index:N,ptr:E,size:[m,v],datatype:s}),A=[],_=[],O=0;v>O;O++){E[O]=N.length;for(var T=O+1,C=0;h>C;C++){var S=u[C][O];if(!x(S,b))for(var z=i[C],B=i[C+1],k=z;B>k;k++){var I=n[k];_[I]!==T?(_[I]=T,N.push(I),A[I]=y(S,r[k])):A[I]=d(A[I],y(S,r[k]))}}for(var R=E[O],P=N.length,U=R;P>U;U++){var q=N[U];w[U]=A[q]}}return E[v]=N.length,1===m&&1===v?1===w.length?w[0]:0:M},T=function(e,t){var r,n=e._values,i=e._index,a=e._ptr,s=e._datatype,u=t._values,l=t._index,p=t._ptr,m=t._datatype,h=e._size[0],v=t._size[1],d=n&&u,y=c,x=f;s&&m&&s===m&&"string"==typeof s&&(r=s,y=o.find(c,[r,r]),x=o.find(f,[r,r]));for(var b,w,N,E,M,A,_,O,T=d?[]:void 0,C=[],S=[],z=new g({values:T,index:C,ptr:S,size:[h,v],datatype:r}),B=d?[]:void 0,k=[],I=0;v>I;I++){S[I]=C.length;var R=I+1;for(M=p[I],A=p[I+1],E=M;A>E;E++)if(O=l[E],d)for(w=a[O],N=a[O+1],b=w;N>b;b++)_=i[b],k[_]!==R?(k[_]=R,C.push(_),B[_]=x(u[E],n[b])):B[_]=y(B[_],x(u[E],n[b]));else for(w=a[O],N=a[O+1],b=w;N>b;b++)_=i[b],k[_]!==R&&(k[_]=R,C.push(_));if(d)for(var P=S[I],U=C.length,q=P;U>q;q++){var L=C[q];T[q]=B[L]}}return S[v]=C.length,1===h&&1===v&&d?1===T.length?T[0]:0:z};return v.toTex="\\left(${args[0]}"+s.operators.multiply+"${args[1]}\\right)",v}var i=r(3).extend,a=r(39);t.name="multiply",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(47)),o=e.SparseMatrix,s=function(e,t,r,n){var s=e._values,u=e._index,c=e._ptr,f=e._size,l=e._datatype;if(!s)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var p,m=f[0],h=f[1],g=a,v=0,d=r;"string"==typeof l&&(p=l,g=i.find(a,[p,p]),v=i.convert(0,p),t=i.convert(t,p),d=i.find(r,[p,p]));for(var y=[],x=[],b=[],w=new o({values:y,index:x,ptr:b,size:[m,h],datatype:p}),N=0;h>N;N++){b[N]=x.length;for(var E=c[N],M=c[N+1],A=E;M>A;A++){var _=u[A],O=n?d(t,s[A]):d(s[A],t);g(O,v)\|\|(x.push(_),y.push(O))}}return b[h]=x.length,w};return s}t.name="algorithm11",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("abs",{number:Math.abs,Complex:function(e){var t=Math.abs(e.re),r=Math.abs(e.im);if(1e3>t&&1e3>r)return Math.sqrt(tt+rr);if(t>=r){var n=r/t;return tMath.sqrt(1+nn)}var i=t/r;return rMath.sqrt(1+ii)},BigNumber:function(e){return e.abs()},Fraction:function(e){return e.abs()},"Array \| Matrix":function(e){return i(e,a,!0)},Unit:function(e){return e.abs()}});return a.toTex="\\left\|${args[0]}\\right\|",a}var i=r(19);t.name="abs",t.factory=n},function(e,t,r){"use strict";function n(e,t,n,i){var a=n(r(50)),o=n(r(47)),s=n(r(59)),u=n(r(60)),c=n(r(61)),f=n(r(55)),l=n(r(56)),p=r(29),m=i("equal",{"any, any":function(e,t){return null===e?null===t:null===t?null===e:void 0===e?void 0===t:void 0===t?void 0===e:o(e,t)},"Matrix, Matrix":function(e,t){var r;switch(e.storage()){case"sparse":switch(t.storage()){case"sparse":r=u(e,t,o);break;default:r=s(t,e,o,!0)}break;default:switch(t.storage()){case"sparse":r=s(e,t,o,!1);break;default:r=f(e,t,o)}}return r},"Array, Array":function(e,t){return m(a(e),a(t)).valueOf()},"Array, Matrix":function(e,t){return m(a(e),t)},"Matrix, Array":function(e,t){return m(e,a(t))},"Matrix, any":function(e,t){var r;switch(e.storage()){case"sparse":r=c(e,t,o,!1);break;default:r=l(e,t,o,!1)}return r},"any, Matrix":function(e,t){var r;switch(t.storage()){case"sparse":r=c(t,e,o,!0);break;default:r=l(t,e,o,!0)}return r},"Array, any":function(e,t){return l(a(e),t,o,!1).valueOf()},"any, Array":function(e,t){return l(a(t),e,o,!0).valueOf()}});return m.toTex="\\left(${args[0]}"+p.operators.equal+"${args[1]}\\right)",m}t.name="equal",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("isNumeric",{"number \| BigNumber \| Fraction \| boolean":function(){return!0},"Complex \| Unit \| string":function(){return!1},"Array \| Matrix":function(e){return i(e,a)}});return a}var i=r(19);r(6);t.name="isNumeric",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("format",{any:i.format,"any, Object \| function \| number":i.format});return a.toTex="\\mathrm{${name}}\\left(${args}\\right)",a}var i=r(23);t.name="format",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("_typeof",{any:function(e){var t=i.type(e);if("Object"===t){if(e.isBigNumber===!0)return"BigNumber";if(e.isComplex===!0)return"Complex";if(e.isFraction===!0)return"Fraction";if(e.isMatrix===!0)return"Matrix";if(e.isUnit===!0)return"Unit";if(e.isIndex===!0)return"Index";if(e.isRange===!0)return"Range";if(e.isChain===!0)return"Chain";if(e.isHelp===!0)return"Help"}return t}});return a.toTex="\\mathrm{${name}}\\left(${args}\\right)",a}var i=r(40);t.name="typeof",t.factory=n},function(e,t,r){"use strict";function n(e,t,r,n){var a=n("unit",{Unit:function(e){return e.clone()},string:function(t){return e.Unit.isValuelessUnit(t)?new e.Unit(null,t):e.Unit.parse(t)},"number \| BigNumber \| Fraction \| Complex, string":function(t,r){return new e.Unit(t,r)},"Array \| Matrix":function(e){return i(e,a)}});return a.toTex={1:"\\left(${args[0]}\\right)",2:"\\left(\\left(${args[0]}\\right)${args[1]}\\right)"},a}var i=r(19);t.name="unit",t.factory=n},function(e,t,r){function n(e,t,r,n,a){function o(t){var r=e.Unit.parse(t);return r.fixPrefix=!0,r}i(a,"speedOfLight",function(){return o("299792458 m s^-1")}),i(a,"gravitationConstant",function(){return o("6.6738480e-11 m^3 kg^-1 s^-2")}),i(a,"planckConstant",function(){return o("6.626069311e-34 J s")}),i(a,"reducedPlanckConstant",function(){return o("1.05457172647e-34 J s")}),i(a,"magneticConstant",function(){return o("1.2566370614e-6 N A^-2")}),i(a,"electricConstant",function(){return o("8.854187817e-12 F m^-1")}),i(a,"vacuumImpedance",function(){return o("376.730313461 ohm")}),i(a,"coulomb",function(){return o("8.9875517873681764e9 N m^2 C^-2")}),i(a,"elementaryCharge",function(){return o("1.60217656535e-19 C")}),i(a,"bohrMagneton",function(){return o("9.2740096820e-24 J T^-1")}),i(a,"conductanceQuantum",function(){return o("7.748091734625e-5 S")}),i(a,"inverseConductanceQuantum",function(){return o("12906.403721742 ohm")}),i(a,"magneticFluxQuantum",function(){return o("2.06783375846e-15 Wb")}),i(a,"nuclearMagneton",function(){return o("5.0507835311e-27 J T^-1")}),i(a,"klitzing",function(){return o("25812.807443484 ohm")}),i(a,"bohrRadius",function(){return o("5.291772109217e-11 m")}),i(a,"classicalElectronRadius",function(){return o("2.817940326727e-15 m")}),i(a,"electronMass",function(){return o("9.1093829140e-31 kg")}),i(a,"fermiCoupling",function(){return o("1.1663645e-5 GeV^-2")}),i(a,"fineStructure",function(){return.007297352569824}),i(a,"hartreeEnergy",function(){return o("4.3597443419e-18 J")}),i(a,"protonMass",function(){return o("1.67262177774e-27 kg")}),i(a,"deuteronMass",function(){return o("3.3435830926e-27 kg")}),i(a,"neutronMass",function(){return o("1.6749271613e-27 kg")}),i(a,"quantumOfCirculation",function(){return o("3.636947552024e-4 m^2 s^-1")}),i(a,"rydberg",function(){return o("10973731.56853955 m^-1")}),i(a,"thomsonCrossSection",function(){return o("6.65245873413e-29 m^2")}),i(a,"weakMixingAngle",function(){return.222321}),i(a,"efimovFactor",function(){return 22.7}),i(a,"atomicMass",function(){return o("1.66053892173e-27 kg")}),i(a,"avogadro",function(){return o("6.0221412927e23 mol^-1")}),i(a,"boltzmann",function(){return o("1.380648813e-23 J K^-1")}),i(a,"faraday",function(){return o("96485.336521 C mol^-1")}),i(a,"firstRadiation",function(){return o("3.7417715317e-16 W m^2")}),i(a,"loschmidt",function(){return o("2.686780524e25 m^-3")}),i(a,"gasConstant",function(){return o("8.314462175 J K^-1 mol^-1")}),i(a,"molarPlanckConstant",function(){return o("3.990312717628e-10 J s mol^-1")}),i(a,"molarVolume",function(){return o("2.241396820e-10 m^3 mol^-1")}),i(a,"sackurTetrode",function(){return-1.164870823}),i(a,"secondRadiation",function(){return o("1.438777013e-2 m K")}),i(a,"stefanBoltzmann",function(){return o("5.67037321e-8 W m^-2 K^-4")}),i(a,"wienDisplacement",function(){return o("2.897772126e-3 m K")}),i(a,"molarMass",function(){return o("1e-3 kg mol^-1")}),i(a,"molarMassC12",function(){return o("1.2e-2 kg mol^-1")}),i(a,"gravity",function(){return o("9.80665 m s^-2")}),i(a,"planckLength",function(){return o("1.61619997e-35 m")}),i(a,"planckMass",function(){return o("2.1765113e-8 kg")}),i(a,"planckTime",function(){return o("5.3910632e-44 s")}),i(a,"planckCharge",function(){return o("1.87554595641e-18 C")}),i(a,"planckTemperature",function(){return o("1.41683385e+32 K")})}var i=r(3).lazy;t.factory=n,t.lazy=!1,t.math=!0},function(e,t,r){"use strict";function n(e,t,o,s,u){u.on("config",function(r,i){r.number!==i.number&&n(e,t,o,s,u)}),u["true"]=!0,u["false"]=!1,u["null"]=null,u.uninitialized=r(39).UNINITIALIZED,"bignumber"===t.number?(u.Infinity=new e.BigNumber(1/0),u.NaN=new e.BigNumber(NaN),i.lazy(u,"pi",function(){return a.pi(e.BigNumber)}),i.lazy(u,"tau",function(){return a.tau(e.BigNumber)}),i.lazy(u,"e",function(){return a.e(e.BigNumber)}),i.lazy(u,"phi",function(){return a.phi(e.BigNumber)}),i.lazy(u,"E",function(){return u.e}),i.lazy(u,"LN2",function(){return new e.BigNumber(2).ln()}),i.lazy(u,"LN10",function(){return new e.BigNumber(10).ln()}),i.lazy(u,"LOG2E",function(){return new e.BigNumber(1).div(new e.BigNumber(2).ln())}),i.lazy(u,"LOG10E",function(){return new e.BigNumber(1).div(new e.BigNumber(10).ln())}),i.lazy(u,"PI",function(){return u.pi}),i.lazy(u,"SQRT1_2",function(){return new e.BigNumber("0.5").sqrt()}),i.lazy(u,"SQRT2",function(){return new e.BigNumber(2).sqrt()})):(u.Infinity=1/0,u.NaN=NaN,u.pi=Math.PI,u.tau=2Math.PI,u.e=Math.E,u.phi=1.618033988749895,u.E=u.e,u.LN2=Math.LN2,u.LN10=Math.LN10,u.LOG2E=Math.LOG2E,u.LOG10E=Math.LOG10E,u.PI=u.pi,u.SQRT1_2=Math.SQRT1_2,u.SQRT2=Math.SQRT2),u.i=new e.Complex(0,1),u.version=r(95)}var i=r(3),a=r(93);t.factory=n,t.lazy=!1,t.math=!0},function(e,t,r){function n(e){return e[0].precision}var i=r(44).memoize,a=r(94);t.e=i(function(e){return new e(1).exp()},n),t.phi=i(function(e){return new e(1).plus(new e(5).sqrt()).div(2)},n),t.pi=i(function(e){var t=e.constructor({precision:e.precision+4}),r=new t(4).times(a(new t(1).div(5))).minus(a(new t(1).div(239)));return new e(4).times(r)},n),t.tau=i(function(e){var r=t.pi(e.constructor({precision:e.precision+2}));return new e(2).times(r)},n)},function(e,t){e.exports=function(e){for(var t=e,r=NaN,n=e.times(e),i=e,a=!0,o=3;!t.equals(r);o+=2)i=i.times(n),r=t,a=!a,t=a?t.plus(i.div(o)):t.minus(i.div(o));return t}},function(e,t){e.exports="2.7.0"},function(e,t,r){e.exports=[r(97),r(267),r(291),r(292),r(319),r(269),r(290)]},function(e,t,r){function n(e,t,n,i){var a={};return a.bignumber=r(98),a["boolean"]=r(99),a.complex=r(100),a.fraction=r(101),a.index=r(102),a.matrix=r(103),a.number=r(104),a.sparse=r(105),a.string=r(106),a.unit=r(107),a.e=r(108),a.E=r(108),a["false"]=r(109),a.i=r(110),a.Infinity=r(111),a.LN2=r(112),a.LN10=r(113),a.LOG2E=r(114),a.LOG10E=r(115),a.NaN=r(116),a["null"]=r(117),a.pi=r(118),a.PI=r(118),a.phi=r(119),a.SQRT1_2=r(120),a.SQRT2=r(121),a.tau=r(122),a["true"]=r(123),a.version=r(124),a.speedOfLight={description:"Speed of light in vacuum",examples:["speedOfLight"]},a.gravitationConstant={description:"Newtonian constant of gravitation",examples:["gravitationConstant"]},a.planckConstant={description:"Planck constant",examples:["planckConstant"]},a.reducedPlanckConstant={description:"Reduced Planck constant",examples:["reducedPlanckConstant"]},a.magneticConstant={description:"Magnetic constant (vacuum permeability)",examples:["magneticConstant"]},a.electricConstant={description:"Electric constant (vacuum permeability)",examples:["electricConstant"]},a.vacuumImpedance={description:"Characteristic impedance of vacuum",examples:["vacuumImpedance"]},a.coulomb={description:"Coulomb's constant",examples:["coulomb"]},a.elementaryCharge={description:"Elementary charge",examples:["elementaryCharge"]},a.bohrMagneton={description:"Borh magneton",examples:["bohrMagneton"]},a.conductanceQuantum={description:"Conductance quantum",examples:["conductanceQuantum"]},a.inverseConductanceQuantum={description:"Inverse conductance quantum",examples:["inverseConductanceQuantum"]},a.magneticFluxQuantum={description:"Magnetic flux quantum",examples:["magneticFluxQuantum"]},a.nuclearMagneton={description:"Nuclear magneton",examples:["nuclearMagneton"]},a.klitzing={description:"Von Klitzing constant",examples:["klitzing"]},a.bohrRadius={description:"Borh radius",examples:["bohrRadius"]},a.classicalElectronRadius={description:"Classical electron radius",examples:["classicalElectronRadius"]},a.electronMass={description:"Electron mass",examples:["electronMass"]},a.fermiCoupling={description:"Fermi coupling constant",examples:["fermiCoupling"]},a.fineStructure={description:"Fine-structure constant",examples:["fineStructure"]},a.hartreeEnergy={description:"Hartree energy",examples:["hartreeEnergy"]},a.protonMass={description:"Proton mass",examples:["protonMass"]},a.deuteronMass={description:"Deuteron Mass",examples:["deuteronMass"]},a.neutronMass={description:"Neutron mass",examples:["neutronMass"]},a.quantumOfCirculation={description:"Quantum of circulation",examples:["quantumOfCirculation"]},a.rydberg={description:"Rydberg constant",examples:["rydberg"]},a.thomsonCrossSection={description:"Thomson cross section",examples:["thomsonCrossSection"]},a.weakMixingAngle={description:"Weak mixing angle",examples:["weakMixingAngle"]},a.efimovFactor={description:"Efimov factor",examples:["efimovFactor"]},a.atomicMass={description:"Atomic mass constant",examples:["atomicMass"]},a.avogadro={description:"Avogadro's number",examples:["avogadro"]},a.boltzmann={description:"Boltzmann constant",examples:["boltzmann"]},a.faraday={description:"Faraday constant",examples:["faraday"]},a.firstRadiation={description:"First radiation constant",examples:["firstRadiation"]},a.loschmidt={description:"Loschmidt constant at T=273.15 K and p=101.325 kPa",examples:["loschmidt"]},a.gasConstant={description:"Gas constant",examples:["gasConstant"]},a.molarPlanckConstant={description:"Molar Planck constant",examples:["molarPlanckConstant"]},a.molarVolume={description:"Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa",examples:["molarVolume"]},a.sackurTetrode={description:"Sackur-Tetrode constant at T=1 K and p=101.325 kPa",examples:["sackurTetrode"]},a.secondRadiation={description:"Second radiation constant",examples:["secondRadiation"]},a.stefanBoltzmann={description:"Stefan-Boltzmann constant",examples:["stefanBoltzmann"]},a.wienDisplacement={description:"Wien displacement law constant",examples:["wienDisplacement"]},a.molarMass={description:"Molar mass constant",examples:["molarMass"]},a.molarMassC12={description:"Molar mass constant of carbon-12",examples:["molarMassC12"]},a.gravity={description:"Standard acceleration of gravity (standard acceleration of free-fall on Earth)",examples:["gravity"]},a.planckLength={description:"Planck length",examples:["planckLength"]},a.planckMass={description:"Planck mass",examples:["planckMass"]},a.planckTime={description:"Planck time",examples:["planckTime"]},a.planckCharge={description:"Planck charge",examples:["planckCharge"]},a.planckTemperature={description:"Planck temperature",examples:["planckTemperature"]},a.lsolve=r(125),a.lup=r(126),a.lusolve=r(127),a.slu=r(128),a.usolve=r(129),a.abs=r(130),a.add=r(131),a.cbrt=r(132),a.ceil=r(133),a.cube=r(134),a.divide=r(135),a.dotDivide=r(136),a.dotMultiply=r(137),a.dotPow=r(138),a.exp=r(139),a.fix=r(140),a.floor=r(141),a.gcd=r(142),a.hypot=r(143),a.lcm=r(144),a.log=r(145),a.log10=r(146),a.mod=r(147),a.multiply=r(148),a.norm=r(149),a.nthRoot=r(150),a.pow=r(151),a.round=r(152),a.sign=r(153),a.sqrt=r(154),a.square=r(155),a.subtract=r(156),a.unaryMinus=r(157),a.unaryPlus=r(158),a.xgcd=r(159),a.bitAnd=r(160),a.bitNot=r(161),a.bitOr=r(162),a.bitXor=r(163),a.leftShift=r(164),a.rightArithShift=r(165),a.rightLogShift=r(166),a.bellNumbers=r(167),a.catalan=r(168),a.composition=r(169),a.stirlingS2=r(170),a.arg=r(171),a.conj=r(172),a.re=r(173),a.im=r(174),a.eval=r(175),a.help=r(176),a.distance=r(177),a.intersect=r(178),a.and=r(179),a.not=r(180),a.or=r(181),a.xor=r(182),a.concat=r(183),a.cross=r(184),a.det=r(185),a.diag=r(186),a.dot=r(187),a.eye=r(188),a.flatten=r(189),a.inv=r(190),a.ones=r(191),a.range=r(192),a.resize=r(193),a.size=r(194),a.squeeze=r(195),a.subset=r(196),a.trace=r(197),a.transpose=r(198),a.zeros=r(199),a.combinations=r(200),a.factorial=r(201),a.gamma=r(202),a.kldivergence=r(203),a.multinomial=r(204),a.permutations=r(205),a.pickRandom=r(206),a.random=r(207),a.randomInt=r(208),a.compare=r(209),a.deepEqual=r(210),a.equal=r(211),a.larger=r(212),a.largerEq=r(213),a.smaller=r(214),a.smallerEq=r(215),a.unequal=r(216),a.max=r(217),a.mean=r(218),a.median=r(219),a.min=r(220),a.mode=r(221),a.prod=r(222),a.quantileSeq=r(223),a.std=r(224),a.sum=r(225),a["var"]=r(226),a.acos=r(227),a.acosh=r(228),a.acot=r(229),a.acoth=r(230),a.acsc=r(231),a.acsch=r(232),a.asec=r(233),a.asech=r(234),a.asin=r(235),a.asinh=r(236),a.atan=r(237),a.atanh=r(238),a.atan2=r(239),a.cos=r(240),a.cosh=r(241),a.cot=r(242),a.coth=r(243),a.csc=r(244),a.csch=r(245),a.sec=r(246),a.sech=r(247),a.sin=r(248),a.sinh=r(249),a.tan=r(250),a.tanh=r(251),a.to=r(252),a.clone=r(253),a.map=r(254),a.partitionSelect=r(255),a.filter=r(256),a.forEach=r(257),a.format=r(258),a.isInteger=r(259),a.isNegative=r(260),a.isNumeric=r(261),a.isPositive=r(262),a.isZero=r(263),a["import"]=r(264),a.sort=r(265),a["typeof"]=r(266),a}t.name="docs",t.path="expression",t.factory=n},function(e,t){e.exports={name:"bignumber",category:"Type",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"]}},function(e,t){e.exports={name:"boolean",category:"Type",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"]}},function(e,t){e.exports={name:"complex",category:"Type",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"]}},function(e,t){e.exports={name:"fraction",category:"Type",syntax:["fraction(num)","fraction(num,den)"],description:"Create a fraction from a number or from a numerator and denominator.",examples:["fraction(0.125)","fraction(1, 3) + fraction(2, 5)"],seealso:["bignumber","boolean","complex","index","matrix","string","unit"]}},function(e,t){e.exports={name:"index",category:"Type",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"]}},function(e,t){e.exports={name:"matrix",category:"Type",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"]}},function(e,t){e.exports={name:"number",category:"Type",syntax:["x","number(x)"],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("52cm", "m")'],seealso:["bignumber","boolean","complex","fraction","index","matrix","string","unit"]}},function(e,t){e.exports={name:"sparse",category:"Type",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"]}},function(e,t){e.exports={name:"string",category:"Type",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"]}},function(e,t){e.exports={name:"unit",category:"Type",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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={name:"false",category:"Constants",syntax:["false"],description:"Boolean value false",examples:["false"],seealso:["true"]}},function(e,t){e.exports={name:"i",category:"Constants",syntax:["i"],description:"Imaginary unit, defined as ii=-1. A complex number is described as a + bi, where a is the real part, and b is the imaginary part.",examples:["i","i i","sqrt(-1)"],seealso:[]}},function(e,t){e.exports={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:[]}},function(e,t){e.exports={name:"LN2",category:"Constants",syntax:["LN2"],description:"Returns the natural logarithm of 2, approximately equal to 0.693",examples:["LN2","log(2)"],seealso:[]}},function(e,t){e.exports={name:"LN10",category:"Constants",syntax:["LN10"],description:"Returns the natural logarithm of 10, approximately equal to 2.302",examples:["LN10","log(10)"],seealso:[]}},function(e,t){e.exports={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:[]}},function(e,t){e.exports={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:[]}},function(e,t){e.exports={name:"NaN",category:"Constants",syntax:["NaN"],description:"Not a number",examples:["NaN","0 / 0"],seealso:[]}},function(e,t){e.exports={name:"null",category:"Constants",syntax:["null"],description:"Value null",examples:["null"],seealso:["true","false"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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:["tau"],seealso:[]}},function(e,t){e.exports={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:[]}},function(e,t){e.exports={name:"SQRT2",category:"Constants",syntax:["SQRT2"],description:"Returns the square root of 2, approximately equal to 1.414",examples:["SQRT2","sqrt(2)"],seealso:[]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={name:"true",category:"Constants",syntax:["true"],description:"Boolean value true",examples:["true"],seealso:["false"]}},function(e,t){e.exports={name:"version",category:"Constants",syntax:["version"],description:"A string with the version number of math.js",examples:["version"],seealso:[]}},function(e,t){e.exports={name:"lsolve",category:"Algebra",syntax:["x=lsolve(L, b)"],description:"Solves 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:["lup","lusolve","usolve","matrix","sparse"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={name:"usolve",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Solves 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:["lup","lusolve","lsolve","matrix","sparse"]}},function(e,t){e.exports={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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(ix) == cos(x) + isin(x)) # Euler's formula"],seealso:["pow","log"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]}},function(e,t){e.exports={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"]

Callers 12

numeric-1.2.6.min.jsFile · 0.70

oFunction · 0.70

cFunction · 0.70

gFunction · 0.70

math.jsFile · 0.70

bFunction · 0.70

nFunction · 0.70

wFunction · 0.70

NFunction · 0.70

LFunction · 0.70

DFunction · 0.70

$Function · 0.70

Calls 5

fFunction · 0.70

gFunction · 0.70

mFunction · 0.70

MFunction · 0.70

XFunction · 0.70

Tested by

no test coverage detected