squiggle/packages/squiggle-lang/dist/index.js

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"use strict";function r(t){return(r="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(r){return typeof r}:function(r){return r&&"function"==typeof Symbol&&r.constructor===Symbol&&r!==Symbol.prototype?"symbol":typeof r})(t)}function t(n){return(t="function"==typeof Symbol&&"symbol"===r(Symbol.iterator)?function(t){return r(t)}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":r(t)})(n)}var n=require("./number").format,e=require("./bignumber/formatter").format,o=require("./bignumber/isBigNumber");function i(r,t){if(Array.isArray(r)){for(var n="[",e=r.length,o=0;o<e;o++)0!==o&&(n+=", "),n+=i(r[o],t);return n+="]"}return exports.format(r,t)}function u(r){return r&&"object"===t(r)&&"number"==typeof r.s&&"number"==typeof r.n&&"number"==typeof r.d||!1}exports.isString=function(r){return"string"==typeof r},exports.endsWith=function(r,t){var n=r.length-t.length,e=r.length;return r.substring(n,e)===t},exports.format=function(r,f){if("number"==typeof r)return n(r,f);if(o(r))return e(r,f);if(u(r))return f&&"decimal"===f.fraction?r.toString():r.s*r.n+"/"+r.d;if(Array.isArray(r))return i(r,f);if(exports.isString(r))return'"'+r+'"';if("function"==typeof r)return r.syntax?String(r.syntax):"function";if(r&&"object"===t(r)){if("function"==typeof r.format)return r.format(f);if(r&&r.toString()!=={}.toString())return r.toString();var y=[];for(var c in r)r.hasOwnProperty(c)&&y.push('"'+c+'": '+exports.format(r[c],f));return"{"+y.join(", ")+"}"}return String(r)},exports.stringify=function(r){for(var t=String(r),n="",e=0;e<t.length;){var o=t.charAt(e);"\\"===o?(n+=o,e++,""!==(o=t.charAt(e))&&-1!=='"\\/bfnrtu'.indexOf(o)||(n+="\\"),n+=o):n+='"'===o?'\\"':o,e++}return'"'+n+'"'},exports.escape=function(r){var t=String(r);return t=t.replace(/&/g,"&amp;").replace(/"/g,"&quot;").replace(/'/g,"&#39;").replace(/</g,"&lt;").replace(/>/g,"&gt;")};
},{"./number":"uqMu","./bignumber/formatter":"bm1W","./bignumber/isBigNumber":"NR2f"}],"Dlkx":[function(require,module,exports) {
"use strict";var t=require("../../utils/string").format,e=require("../../utils/object").lazy;function n(n,r,o,i,u){function a(t){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");n.isChain(t)?this.value=t.value:this.value=t}function p(t,e){"function"==typeof e&&(a.prototype[t]=f(e))}function f(t){return function(){for(var e=[this.value],n=0;n<arguments.length;n++)e[n+1]=arguments[n];return new a(t.apply(t,e))}}return a.prototype.type="Chain",a.prototype.isChain=!0,a.prototype.done=function(){return this.value},a.prototype.valueOf=function(){return this.value},a.prototype.toString=function(){return t(this.value)},a.prototype.toJSON=function(){return{mathjs:"Chain",value:this.value}},a.fromJSON=function(t){return new a(t.value)},a.createProxy=function(t,e){if("string"==typeof t)p(t,e);else for(var n in t)t.hasOwnProperty(n)&&p(n,t[n])},a.createProxy(u),u.on("import",function(t,n,r){void 0===r&&function(t,n){e(a.prototype,t,function(){var t=n();if("function"==typeof t)return f(t)})}(t,n)}),a}exports.name="Chain",exports.path="type",exports.factory=n,exports.math=!0,exports.lazy=!1;
},{"../../utils/string":"PshC","../../utils/object":"FcSp"}],"LxM2":[function(require,module,exports) {
"use strict";function n(n,t,r,e){return e("chain",{"":function(){return new n.Chain},any:function(t){return new n.Chain(t)}})}exports.name="chain",exports.factory=n;
},{}],"YdmQ":[function(require,module,exports) {
"use strict";module.exports=[require("./Chain"),require("./function/chain")];
},{"./Chain":"Dlkx","./function/chain":"LxM2"}],"LEuu":[function(require,module,exports) {
var define;
var i;!function(t){"use strict";var n=function(i){return.5*(Math.exp(i)+Math.exp(-i))},e=function(i){return.5*(Math.exp(i)-Math.exp(-i))},r=function(){throw SyntaxError("Invalid Param")};function s(i,t){var n=Math.abs(i),e=Math.abs(t);return 0===i?Math.log(e):0===t?Math.log(n):n<3e3&&e<3e3?.5*Math.log(i*i+t*t):Math.log(i/Math.cos(Math.atan2(t,i)))}var a=function(i,t){var n={re:0,im:0};if(null==i)n.re=n.im=0;else if(void 0!==t)n.re=i,n.im=t;else switch(typeof i){case"object":if("im"in i&&"re"in i)n.re=i.re,n.im=i.im;else if("abs"in i&&"arg"in i){if(!Number.isFinite(i.abs)&&Number.isFinite(i.arg))return h.INFINITY;n.re=i.abs*Math.cos(i.arg),n.im=i.abs*Math.sin(i.arg)}else if("r"in i&&"phi"in i){if(!Number.isFinite(i.r)&&Number.isFinite(i.phi))return h.INFINITY;n.re=i.r*Math.cos(i.phi),n.im=i.r*Math.sin(i.phi)}else 2===i.length?(n.re=i[0],n.im=i[1]):r();break;case"string":n.im=n.re=0;var e=i.match(/\d+\.?\d*e[+-]?\d+|\d+\.?\d*|\.\d+|./g),s=1,a=0;null===e&&r();for(var u=0;u<e.length;u++){var o=e[u];" "===o||"\t"===o||"\n"===o||("+"===o?s++:"-"===o?a++:"i"===o||"I"===o?(s+a===0&&r()," "===e[u+1]||isNaN(e[u+1])?n.im+=parseFloat((a%2?"-":"")+"1"):(n.im+=parseFloat((a%2?"-":"")+e[u+1]),u++),s=a=0):((s+a===0||isNaN(o))&&r(),"i"===e[u+1]||"I"===e[u+1]?(n.im+=parseFloat((a%2?"-":"")+o),u++):n.re+=parseFloat((a%2?"-":"")+o),s=a=0))}s+a>0&&r();break;case"number":n.im=0,n.re=i;break;default:r()}return isNaN(n.re)||isNaN(n.im),n};function h(i,t){if(!(this instanceof h))return new h(i,t);var n=a(i,t);this.re=n.re,this.im=n.im}h.prototype={re:0,im:0,sign:function(){var i=this.abs();return new h(this.re/i,this.im/i)},add:function(i,t){var n=new h(i,t);return this.isInfinite()&&n.isInfinite()?h.NAN:this.isInfinite()||n.isInfinite()?h.INFINITY:new h(this.re+n.re,this.im+n.im)},sub:function(i,t){var n=new h(i,t);return this.isInfinite()&&n.isInfinite()?h.NAN:this.isInfinite()||n.isInfinite()?h.INFINITY:new h(this.re-n.re,this.im-n.im)},mul:function(i,t){var n=new h(i,t);return this.isInfinite()&&n.isZero()||this.isZero()&&n.isInfinite()?h.NAN:this.isInfinite()||n.isInfinite()?h.INFINITY:0===n.im&&0===this.im?new h(this.re*n.re,0):new h(this.re*n.re-this.im*n.im,this.re*n.im+this.im*n.re)},div:function(i,t){var n=new h(i,t);if(this.isZero()&&n.isZero()||this.isInfinite()&&n.isInfinite())return h.NAN;if(this.isInfinite()||n.isZero())return h.INFINITY;if(this.isZero()||n.isInfinite())return h.ZERO;i=this.re,t=this.im;var e,r,s=n.re,a=n.im;return 0===a?new h(i/s,t/s):Math.abs(s)<Math.abs(a)?new h((i*(r=s/a)+t)/(e=s*r+a),(t*r-i)/e):new h((i+t*(r=a/s))/(e=a*r+s),(t-i*r)/e)},pow:function(i,t){var n=new h(i,t);if(i=this.re,t=this.im,n.isZero())return h.ONE;if(0===n.im){if(0===t&&i>=0)return new h(Math.pow(i,n.re),0);if(0===i)switch((n.re%4+4)%4){case 0:return new h(Math.pow(t,n.re),0);case 1:return new h(0,Math.pow(t,n.re));case 2:return new h(-Math.pow(t,n.re),0);case 3:return new h(0,-Math.pow(t,n.re))}}if(0===i&&0===t&&n.re>0&&n.im>=0)return h.ZERO;var e=Math.atan2(t,i),r=s(i,t);return i=Math.exp(n.re*r-n.im*e),t=n.im*r+n.re*e,new h(i*Math.cos(t),i*Math.sin(t))},sqrt:function(){var i,t,n=this.re,e=this.im,r=this.abs();if(n>=0){if(0===e)return new h(Math.sqrt(n),0);i=.5*Math.sqrt(2*(r+n))}else i=Math.abs(e)/Math.sqrt(2*(r-n));return t=n<=0?.5*Math.sqrt(2*(r-n)):Math.abs(e)/Math.sqrt(2*(r+n)),new h(i,e<0?-t:t)},exp:function(){var i=Math.exp(this.re);return this.im,new h(i*Math.cos(this.im),i*Math.sin(this.im))},expm1:function(){var i=this.re,t=this.im;return new h(Math.expm1(i)*Math.cos(t)+function(i){var t=Math.PI/4;if(i<-t||i>t)return Math.cos(i)-1;var n=i*i;return n*(n*(1/24+n*(-1/720+n*(1/40320+n*(-1/3628800+n*(1/4790014600+n*(-1/87178291200+n*(1/20922789888e3)))))))-.5)}(t),Math.exp(i)*Math.sin(t))},log:function(){var i=this.re,t=this.im;return new h(s(i,t),Math.atan2(t,i))},abs:function(){return i=this.re,t=this.im,n=Math.abs(i),e=Math.abs(t),n<3e3&&e<3e3?Math.sqrt(n*n+e*e):(n<e?(n=e,e=i/t):e=t/i,n*Math.sqrt(1+e*e));var i,t,n,e},arg:function(){return Math.atan2(this.im,this.re)},sin:function(){var i=this.re,t=this.im;return new h(Math.sin(i)
},{}],"dh9O":[function(require,module,exports) {
"use strict";function t(r){return(t="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(r)}function r(o){return(r="function"==typeof Symbol&&"symbol"===t(Symbol.iterator)?function(r){return t(r)}:function(r){return r&&"function"==typeof Symbol&&r.constructor===Symbol&&r!==Symbol.prototype?"symbol":t(r)})(o)}var o=require("complex.js"),e=require("../../utils/number").format,n=require("../../utils/number").isNumber;function i(t,i,u,p,s){return o.prototype.type="Complex",o.prototype.isComplex=!0,o.prototype.toJSON=function(){return{mathjs:"Complex",re:this.re,im:this.im}},o.prototype.toPolar=function(){return{r:this.abs(),phi:this.arg()}},o.prototype.format=function(t){var r=this.im,o=this.re,i=e(this.re,t),u=e(this.im,t),p=n(t)?t:t?t.precision:null;if(null!==p){var s=Math.pow(10,-p);Math.abs(o/r)<s&&(o=0),Math.abs(r/o)<s&&(r=0)}return 0===r?i:0===o?1===r?"i":-1===r?"-i":u+"i":r<0?-1===r?i+" - i":i+" - "+u.substring(1)+"i":1===r?i+" + i":i+" + "+u+"i"},o.fromPolar=function(e){switch(arguments.length){case 1:var i=arguments[0];if("object"===r(i))return o(i);throw new TypeError("Input has to be an object with r and phi keys.");case 2:var u=arguments[0],p=arguments[1];if(n(u)){if(t.isUnit(p)&&p.hasBase("ANGLE")&&(p=p.toNumber("rad")),n(p))return new o({r:u,phi:p});throw new TypeError("Phi is not a number nor an angle unit.")}throw new TypeError("Radius r is not a number.");default:throw new SyntaxError("Wrong number of arguments in function fromPolar")}},o.prototype.valueOf=o.prototype.toString,o.fromJSON=function(t){return new o(t)},o.EPSILON=i.epsilon,s.on("config",function(t,r){t.epsilon!==r.epsilon&&(o.EPSILON=t.epsilon)}),o.compare=function(t,r){return t.re>r.re?1:t.re<r.re?-1:t.im>r.im?1:t.im<r.im?-1:0},o}exports.name="Complex",exports.path="type",exports.factory=i,exports.math=!0;
},{"complex.js":"LEuu","../../utils/number":"uqMu"}],"gC7Z":[function(require,module,exports) {
"use strict";var e=Object.assign||function(e){for(var t=1;t<arguments.length;t++){var n=arguments[t];for(var r in n)Object.prototype.hasOwnProperty.call(n,r)&&(e[r]=n[r])}return e},t={"{":"\\{","}":"\\}","\\":"\\textbackslash{}","#":"\\#",$:"\\$","%":"\\%","&":"\\&","^":"\\textasciicircum{}",_:"\\_","~":"\\textasciitilde{}"},n={"–":"\\--","—":"\\---"," ":"~","\t":"\\qquad{}","\r\n":"\\newline{}","\n":"\\newline{}"},r=function(t,n){return e({},t,n)};module.exports=function(i){for(var c=arguments.length>1&&void 0!==arguments[1]?arguments[1]:{},l=c.preserveFormatting,a=void 0!==l&&l,o=c.escapeMapFn,s=void 0===o?r:o,u=String(i),g="",h=s(e({},t),a?e({},n):{}),v=Object.keys(h),f=function(){var e=!1;v.forEach(function(t,n){e||u.length>=t.length&&u.slice(0,t.length)===t&&(g+=h[v[n]],u=u.slice(t.length,u.length),e=!0)}),e||(g+=u.slice(0,1),u=u.slice(1,u.length))};u;)f();return g};
},{}],"H1Mr":[function(require,module,exports) {
"use strict";var a=require("escape-latex");exports.symbols={Alpha:"A",alpha:"\\alpha",Beta:"B",beta:"\\beta",Gamma:"\\Gamma",gamma:"\\gamma",Delta:"\\Delta",delta:"\\delta",Epsilon:"E",epsilon:"\\epsilon",varepsilon:"\\varepsilon",Zeta:"Z",zeta:"\\zeta",Eta:"H",eta:"\\eta",Theta:"\\Theta",theta:"\\theta",vartheta:"\\vartheta",Iota:"I",iota:"\\iota",Kappa:"K",kappa:"\\kappa",varkappa:"\\varkappa",Lambda:"\\Lambda",lambda:"\\lambda",Mu:"M",mu:"\\mu",Nu:"N",nu:"\\nu",Xi:"\\Xi",xi:"\\xi",Omicron:"O",omicron:"o",Pi:"\\Pi",pi:"\\pi",varpi:"\\varpi",Rho:"P",rho:"\\rho",varrho:"\\varrho",Sigma:"\\Sigma",sigma:"\\sigma",varsigma:"\\varsigma",Tau:"T",tau:"\\tau",Upsilon:"\\Upsilon",upsilon:"\\upsilon",Phi:"\\Phi",phi:"\\phi",varphi:"\\varphi",Chi:"X",chi:"\\chi",Psi:"\\Psi",psi:"\\psi",Omega:"\\Omega",omega:"\\omega",true:"\\mathrm{True}",false:"\\mathrm{False}",i:"i",inf:"\\infty",Inf:"\\infty",infinity:"\\infty",Infinity:"\\infty",oo:"\\infty",lim:"\\lim",undefined:"\\mathbf{?}"},exports.operators={transpose:"^\\top",ctranspose:"^H",factorial:"!",pow:"^",dotPow:".^\\wedge",unaryPlus:"+",unaryMinus:"-",bitNot:"\\~",not:"\\neg",multiply:"\\cdot",divide:"\\frac",dotMultiply:".\\cdot",dotDivide:".:",mod:"\\mod",add:"+",subtract:"-",to:"\\rightarrow",leftShift:"<<",rightArithShift:">>",rightLogShift:">>>",equal:"=",unequal:"\\neq",smaller:"<",larger:">",smallerEq:"\\leq",largerEq:"\\geq",bitAnd:"\\&",bitXor:"\\underline{|}",bitOr:"|",and:"\\wedge",xor:"\\veebar",or:"\\vee"},exports.defaultTemplate="\\mathrm{${name}}\\left(${args}\\right)";var t={deg:"^\\circ"};exports.escape=function(t){return a(t,{preserveFormatting:!0})},exports.toSymbol=function(a,e){return(e=void 0!==e&&e)?t.hasOwnProperty(a)?t[a]:"\\mathrm{"+exports.escape(a)+"}":exports.symbols.hasOwnProperty(a)?exports.symbols[a]:exports.escape(a)};
},{"escape-latex":"gC7Z"}],"V5uf":[function(require,module,exports) {
"use strict";var r=require("../../../utils/collection/deepMap");function e(e,n,t,i){var o=require("../../../utils/latex"),u=i("complex",{"":function(){return e.Complex.ZERO},number:function(r){return new e.Complex(r,0)},"number, number":function(r,n){return new e.Complex(r,n)},"BigNumber, BigNumber":function(r,n){return new e.Complex(r.toNumber(),n.toNumber())},Complex:function(r){return r.clone()},string:function(r){return e.Complex(r)},null:function(r){return e.Complex(0)},Object:function(r){if("re"in r&&"im"in r)return new e.Complex(r.re,r.im);if("r"in r&&"phi"in r||"abs"in r&&"arg"in r)return new e.Complex(r);throw new Error("Expected object with properties (re and im) or (r and phi) or (abs and arg)")},"Array | Matrix":function(e){return r(e,u)}});return u.toTex={0:"0",1:"\\left(${args[0]}\\right)",2:"\\left(\\left(${args[0]}\\right)+".concat(o.symbols.i,"\\cdot\\left(${args[1]}\\right)\\right)")},u}exports.name="complex",exports.factory=e;
},{"../../../utils/collection/deepMap":"lOYo","../../../utils/latex":"H1Mr"}],"Oad0":[function(require,module,exports) {
"use strict";module.exports=[require("./Complex"),require("./function/complex")];
},{"./Complex":"dh9O","./function/complex":"V5uf"}],"TToH":[function(require,module,exports) {
var define;
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"use strict";var t=require("../../utils/index"),e=require("../../error/DimensionError"),r=t.string,i=t.array,n=t.object,a=t.number,o=Array.isArray,s=a.isNumber,h=a.isInteger,u=r.isString,p=i.validateIndex;function f(a,f,l,d){var c=l(require("./utils/getArrayDataType")),y=l(require("./Matrix"));function _(e,r){if(!(this instanceof _))throw new SyntaxError("Constructor must be called with the new operator");if(r&&!u(r))throw new Error("Invalid datatype: "+r);if(a.isMatrix(e))"DenseMatrix"===e.type?(this._data=n.clone(e._data),this._size=n.clone(e._size),this._datatype=r||e._datatype):(this._data=e.toArray(),this._size=e.size(),this._datatype=r||e._datatype);else if(e&&o(e.data)&&o(e.size))this._data=e.data,this._size=e.size,this._datatype=r||e.datatype;else if(o(e))this._data=function t(e){for(var r=0,i=e.length;r<i;r++){var n=e[r];o(n)?e[r]=t(n):n&&!0===n.isMatrix&&(e[r]=t(n.valueOf()))}return e}(e),this._size=i.size(this._data),i.validate(this._data,this._size),this._datatype=r;else{if(e)throw new TypeError("Unsupported type of data ("+t.types.type(e)+")");this._data=[],this._size=[0],this._datatype=r}}function g(t,e,r){if(0===e.length){for(var n=t._data;o(n);)n=n[0];return n}return t._size=e.slice(0),t._data=i.resize(t._data,t._size,r),t}function w(t,e,r){for(var i=t._size.slice(0),n=!1;i.length<e.length;)i.push(0),n=!0;for(var a=0,o=e.length;a<o;a++)e[a]>i[a]&&(i[a]=e[a],n=!0);n&&g(t,i,r)}return _.prototype=new y,_.prototype.type="DenseMatrix",_.prototype.isDenseMatrix=!0,_.prototype.getDataType=function(){return c(this._data)},_.prototype.storage=function(){return"dense"},_.prototype.datatype=function(){return this._datatype},_.prototype.create=function(t,e){return new _(t,e)},_.prototype.subset=function(t,r,o){switch(arguments.length){case 1:return function(t,r){if(!a.isIndex(r))throw new TypeError("Invalid index");if(r.isScalar())return t.get(r.min());var i=r.size();if(i.length!==t._size.length)throw new e(i.length,t._size.length);for(var n=r.min(),o=r.max(),s=0,h=t._size.length;s<h;s++)p(n[s],t._size[s]),p(o[s],t._size[s]);return new _(function t(e,r,i,n){var a=n===i-1;var o=r.dimension(n);return a?o.map(function(t){return p(t,e.length),e[t]}).valueOf():o.map(function(a){p(a,e.length);var o=e[a];return t(o,r,i,n+1)}).valueOf()}(t._data,r,i.length,0),t._datatype)}(this,t);case 2:case 3:return function(t,r,o,s){if(!r||!0!==r.isIndex)throw new TypeError("Invalid index");var h,u=r.size(),f=r.isScalar();a.isMatrix(o)?(h=o.size(),o=o.valueOf()):h=i.size(o);if(f){if(0!==h.length)throw new TypeError("Scalar expected");t.set(r.min(),o,s)}else{if(u.length<t._size.length)throw new e(u.length,t._size.length,"<");if(h.length<u.length){for(var l=0,d=0;1===u[l]&&1===h[l];)l++;for(;1===u[l];)d++,l++;o=i.unsqueeze(o,u.length,d,h)}if(!n.deepEqual(u,h))throw new e(u,h,">");var c=r.max().map(function(t){return t+1});w(t,c,s);var y=u.length;!function t(e,r,i,n,a){var o=a===n-1;var s=r.dimension(a);o?s.forEach(function(t,r){p(t),e[t]=i[r[0]]}):s.forEach(function(o,s){p(o),t(e[o],r,i[s[0]],n,a+1)})}(t._data,r,o,y,0)}return t}(this,t,r,o);default:throw new SyntaxError("Wrong number of arguments")}},_.prototype.get=function(t){if(!o(t))throw new TypeError("Array expected");if(t.length!==this._size.length)throw new e(t.length,this._size.length);for(var r=0;r<t.length;r++)p(t[r],this._size[r]);for(var i=this._data,n=0,a=t.length;n<a;n++){var s=t[n];p(s,i.length),i=i[s]}return i},_.prototype.set=function(t,r,i){if(!o(t))throw new TypeError("Array expected");if(t.length<this._size.length)throw new e(t.length,this._size.length,"<");var n,a,s;w(this,t.map(function(t){return t+1}),i);var h=this._data;for(n=0,a=t.length-1;n<a;n++)s=t[n],p(s,h.length),h=h[s];return s=t[t.length-1],p(s,h.length),h[s]=r,this},_.prototype.resize=function(t,e,r){if(!o(t))throw new TypeError("Array expected");return g(r?this.clone():this,t,e)},_.prototype.reshape=function(t,e){var r=e?this.clone():this;return r._data=i.reshape(r._data,t),r._size=t.slice(0),r},_.prototype.clone=function(){return new _({data:n.clone(this._data),size:n.clone(this._size),datatype:this._dat
},{"../../utils/index":"fsXI","../../error/DimensionError":"YiAw","./utils/getArrayDataType":"XmtI","./Matrix":"w7z6"}],"Uu9K":[function(require,module,exports) {
"use strict";module.exports=function(r,i,e){if(null==e)return r.eq(i);if(r.eq(i))return!0;if(r.isNaN()||i.isNaN())return!1;if(r.isFinite()&&i.isFinite()){var t=r.minus(i).abs();if(t.isZero())return!0;var s=r.constructor.max(r.abs(),i.abs());return t.lte(s.times(e))}return!1};
},{}],"QvIw":[function(require,module,exports) {
"use strict";var e=require("../../utils/number").nearlyEqual,n=require("../../utils/bignumber/nearlyEqual");function r(r,u,t,i){var a=i("equalScalar",{"boolean, boolean":function(e,n){return e===n},"number, number":function(n,r){return n===r||e(n,r,u.epsilon)},"BigNumber, BigNumber":function(e,r){return e.eq(r)||n(e,r,u.epsilon)},"Fraction, Fraction":function(e,n){return e.equals(n)},"Complex, Complex":function(e,n){return e.equals(n)},"Unit, Unit":function(e,n){if(!e.equalBase(n))throw new Error("Cannot compare units with different base");return a(e.value,n.value)}});return a}exports.factory=r;
},{"../../utils/number":"uqMu","../../utils/bignumber/nearlyEqual":"Uu9K"}],"armw":[function(require,module,exports) {
"use strict";var e=require("../../utils/index"),t=require("../../error/DimensionError"),r=e.array,i=e.object,n=e.string,s=e.number,a=Array.isArray,o=s.isNumber,h=s.isInteger,p=n.isString,_=r.validateIndex;function u(u,l,f,v){var d=f(require("./Matrix")),c=f(require("../../function/relational/equalScalar")),y=f(require("./utils/getArrayDataType"));function w(t,r){if(!(this instanceof w))throw new SyntaxError("Constructor must be called with the new operator");if(r&&!p(r))throw new Error("Invalid datatype: "+r);if(u.isMatrix(t))!function(e,t,r){"SparseMatrix"===t.type?(e._values=t._values?i.clone(t._values):void 0,e._index=i.clone(t._index),e._ptr=i.clone(t._ptr),e._size=i.clone(t._size),e._datatype=r||t._datatype):x(e,t.valueOf(),r||t._datatype)}(this,t,r);else if(t&&a(t.index)&&a(t.ptr)&&a(t.size))this._values=t.values,this._index=t.index,this._ptr=t.ptr,this._size=t.size,this._datatype=r||t.datatype;else if(a(t))x(this,t,r);else{if(t)throw new TypeError("Unsupported type of data ("+e.types.type(t)+")");this._values=[],this._index=[],this._ptr=[0],this._size=[0,0],this._datatype=r}}function x(e,t,r){e._values=[],e._index=[],e._ptr=[],e._datatype=r;var i=t.length,n=0,s=c,o=0;if(p(r)&&(s=v.find(c,[r,r])||c,o=v.convert(0,r)),i>0){var h=0;do{e._ptr.push(e._index.length);for(var _=0;_<i;_++){var u=t[_];if(a(u)){if(0===h&&n<u.length&&(n=u.length),h<u.length){var l=u[h];s(l,o)||(e._values.push(l),e._index.push(_))}}else 0===h&&n<1&&(n=1),s(u,o)||(e._values.push(u),e._index.push(_))}h++}while(h<n)}e._ptr.push(e._index.length),e._size=[i,n]}function g(e,t,r,i){if(r-t==0)return r;for(var n=t;n<r;n++)if(i[n]===e)return n;return t}function z(e,t,r,i,n,s,a){n.splice(e,0,i),s.splice(e,0,t);for(var o=r+1;o<a.length;o++)a[o]++}function m(e,t,r,i){var n=i||0,s=c,a=0;p(e._datatype)&&(s=v.find(c,[e._datatype,e._datatype])||c,a=v.convert(0,e._datatype),n=v.convert(n,e._datatype));var o,h,_,u=!s(n,a),l=e._size[0],f=e._size[1];if(r>f){for(h=f;h<r;h++)if(e._ptr[h]=e._values.length,u)for(o=0;o<l;o++)e._values.push(n),e._index.push(o);e._ptr[r]=e._values.length}else r<f&&(e._ptr.splice(r+1,f-r),e._values.splice(e._ptr[r],e._values.length),e._index.splice(e._ptr[r],e._index.length));if(f=r,t>l){if(u){var d=0;for(h=0;h<f;h++){e._ptr[h]=e._ptr[h]+d,_=e._ptr[h+1]+d;var y=0;for(o=l;o<t;o++,y++)e._values.splice(_+y,0,n),e._index.splice(_+y,0,o),d++}e._ptr[f]=e._values.length}}else if(t<l){var w=0;for(h=0;h<f;h++){e._ptr[h]=e._ptr[h]-w;var x=e._ptr[h],g=e._ptr[h+1]-w;for(_=x;_<g;_++)(o=e._index[_])>t-1&&(e._values.splice(_,1),e._index.splice(_,1),w++)}e._ptr[h]=e._values.length}return e._size[0]=t,e._size[1]=r,e}function E(e,t,r,n,s){var a,o,h=n[0],p=n[1],_=[];for(a=0;a<h;a++)for(_[a]=[],o=0;o<p;o++)_[a][o]=0;for(o=0;o<p;o++)for(var u=r[o],l=r[o+1],f=u;f<l;f++)_[a=t[f]][o]=e?s?i.clone(e[f]):e[f]:1;return _}return w.prototype=new d,w.prototype.type="SparseMatrix",w.prototype.isSparseMatrix=!0,w.prototype.getDataType=function(){return y(this._values)},w.prototype.storage=function(){return"sparse"},w.prototype.datatype=function(){return this._datatype},w.prototype.create=function(e,t){return new w(e,t)},w.prototype.density=function(){var e=this._size[0],t=this._size[1];return 0!==e&&0!==t?this._index.length/(e*t):0},w.prototype.subset=function(e,n,s){if(!this._values)throw new Error("Cannot invoke subset on a Pattern only matrix");switch(arguments.length){case 1:return function(e,r){if(!u.isIndex(r))throw new TypeError("Invalid index");if(r.isScalar())return e.get(r.min());var i,n,s,a,o=r.size();if(o.length!==e._size.length)throw new t(o.length,e._size.length);var h=r.min(),p=r.max();for(i=0,n=e._size.length;i<n;i++)_(h[i],e._size[i]),_(p[i],e._size[i]);var l=e._values,f=e._index,v=e._ptr,d=r.dimension(0),c=r.dimension(1),y=[],x=[];d.forEach(function(e,t){x[e]=t[0],y[e]=!0});var g=l?[]:void 0,z=[],m=[];return c.forEach(function(e){for(m.push(z.length),s=v[e],a=v[e+1];s<a;s++)i=f[s],!0===y[i]&&(z.push(x[i]),g&&g.push(l[s]))}),m.push(z.length),new w({values:g,index:z,ptr:m,size:o,datatype:e._datatype})}(this,e);case 2:case 3:return function(e,n,s,a){if(!n|
},{"../../utils/index":"fsXI","../../error/DimensionError":"YiAw","./Matrix":"w7z6","../../function/relational/equalScalar":"QvIw","./utils/getArrayDataType":"XmtI"}],"vzj5":[function(require,module,exports) {
"use strict";function r(r,t,n,i){var e=i("matrix",{"":function(){return a([])},string:function(r){return a([],r)},"string, string":function(r,t){return a([],r,t)},Array:function(r){return a(r)},Matrix:function(r){return a(r,r.storage())},"Array | Matrix, string":a,"Array | Matrix, string, string":a});return e.toTex={0:"\\begin{bmatrix}\\end{bmatrix}",1:"\\left(${args[0]}\\right)",2:"\\left(${args[0]}\\right)"},e;function a(t,n,i){return new(r.Matrix.storage(n||"default"))(t,i)}}exports.name="matrix",exports.factory=r;
},{}],"ZM3O":[function(require,module,exports) {
"use strict";function n(n,r,e,t){var u=t("add",{"number, number":function(n,r){return n+r},"Complex, Complex":function(n,r){return n.add(r)},"BigNumber, BigNumber":function(n,r){return n.plus(r)},"Fraction, Fraction":function(n,r){return n.add(r)},"Unit, Unit":function(n,r){if(null===n.value||void 0===n.value)throw new Error("Parameter x contains a unit with undefined value");if(null===r.value||void 0===r.value)throw new Error("Parameter y contains a unit with undefined value");if(!n.equalBase(r))throw new Error("Units do not match");var e=n.clone();return e.value=u(e.value,r.value),e.fixPrefix=!1,e}});return u}exports.factory=n;
},{}],"q1c8":[function(require,module,exports) {
"use strict";var r=require("../../../error/DimensionError");function t(t,e,a,n){var i=t.DenseMatrix;return function(t,e,a,o){var s=t._data,f=t._size,h=t._datatype,p=e._values,d=e._index,m=e._ptr,u=e._size,v=e._datatype;if(f.length!==u.length)throw new r(f.length,u.length);if(f[0]!==u[0]||f[1]!==u[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+u+")");if(!p)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var x,_,g=f[0],w=f[1],c="string"==typeof h&&h===v?h:void 0,l=c?n.find(a,[c,c]):a,y=[];for(x=0;x<g;x++)y[x]=[];var M=[],D=[];for(_=0;_<w;_++){for(var z=_+1,E=m[_],q=m[_+1],A=E;A<q;A++)M[x=d[A]]=o?l(p[A],s[x][_]):l(s[x][_],p[A]),D[x]=z;for(x=0;x<g;x++)D[x]===z?y[x][_]=M[x]:y[x][_]=s[x][_]}return new i({data:y,size:[g,w],datatype:c})}}exports.name="algorithm01",exports.factory=t;
},{"../../../error/DimensionError":"YiAw"}],"m7Qa":[function(require,module,exports) {
"use strict";var r=require("../../../error/DimensionError");function e(e,t,i,n){var a=i(require("../../../function/relational/equalScalar")),o=e.SparseMatrix;return function(e,t,i){var s=e._values,l=e._index,f=e._ptr,u=e._size,h=e._datatype,v=t._values,p=t._index,d=t._ptr,c=t._size,g=t._datatype;if(u.length!==c.length)throw new r(u.length,c.length);if(u[0]!==c[0]||u[1]!==c[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+c+")");var _,m=u[0],x=u[1],w=a,y=0,q=i;"string"==typeof h&&h===g&&(_=h,w=n.find(a,[_,_]),y=n.convert(0,_),q=n.find(i,[_,_]));var z,M,D,E,S,A=s&&v?[]:void 0,B=[],R=[],b=new o({values:A,index:B,ptr:R,size:[m,x],datatype:_}),j=s&&v?[]:void 0,k=s&&v?[]:void 0,C=[],F=[];for(M=0;M<x;M++){R[M]=B.length;var G=M+1;for(E=f[M],S=f[M+1],D=E;D<S;D++)z=l[D],B.push(z),C[z]=G,j&&(j[z]=s[D]);for(E=d[M],S=d[M+1],D=E;D<S;D++)if(C[z=p[D]]===G){if(j){var H=q(j[z],v[D]);w(H,y)?C[z]=null:j[z]=H}}else B.push(z),F[z]=G,k&&(k[z]=v[D]);if(j&&k)for(D=R[M];D<B.length;)C[z=B[D]]===G?(A[D]=j[z],D++):F[z]===G?(A[D]=k[z],D++):B.splice(D,1)}return R[x]=B.length,b}}exports.name="algorithm04",exports.factory=e;
},{"../../../error/DimensionError":"YiAw","../../../function/relational/equalScalar":"QvIw"}],"H0xb":[function(require,module,exports) {
"use strict";function r(r,a,t,e){var n=r.DenseMatrix;return function(r,a,t,o){var i=r._values,f=r._index,s=r._ptr,v=r._size,p=r._datatype;if(!i)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var u,c=v[0],d=v[1],x=t;"string"==typeof p&&(u=p,a=e.convert(a,u),x=e.find(t,[u,u]));for(var _=[],l=new n({data:_,size:[c,d],datatype:u}),y=[],m=[],w=0;w<d;w++){for(var g=w+1,h=s[w],z=s[w+1],M=h;M<z;M++){var S=f[M];y[S]=i[M],m[S]=g}for(var C=0;C<c;C++)0===w&&(_[C]=[]),m[C]===g?_[C][w]=o?x(a,y[C]):x(y[C],a):_[C][w]=a}return l}}exports.name="algorithm10",exports.factory=r;
},{}],"NS7U":[function(require,module,exports) {
"use strict";var r=require("../../../error/DimensionError");function t(t,e,a,n){var i=t.DenseMatrix;return function(t,e,a){var o,s=t._data,f=t._size,h=t._datatype,g=e._data,l=e._size,u=e._datatype,v=[];if(f.length!==l.length)throw new r(f.length,l.length);for(var m=0;m<f.length;m++){if(f[m]!==l[m])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+l+")");v[m]=f[m]}var c=a;"string"==typeof h&&h===u&&(o=h,c=n.find(a,[o,o]));var d=v.length>0?function r(t,e,a,n,i,o){var s=[];if(e===a.length-1)for(var f=0;f<n;f++)s[f]=t(i[f],o[f]);else for(var h=0;h<n;h++)s[h]=r(t,e+1,a,a[e+1],i[h],o[h]);return s}(c,0,v,v[0],s,g):[];return new i({data:d,size:v,datatype:o})}}exports.name="algorithm13",exports.factory=t;
},{"../../../error/DimensionError":"YiAw"}],"S2eB":[function(require,module,exports) {
"use strict";var t=require("../../../utils/object").clone;function r(r,e,a,n){var i=r.DenseMatrix;return function(r,e,a,o){var s,f=r._data,u=r._size,c=r._datatype,v=a;"string"==typeof c&&(s=c,e=n.convert(e,s),v=n.find(a,[s,s]));var l=u.length>0?function t(r,e,a,n,i,o,s){var f=[];if(e===a.length-1)for(var u=0;u<n;u++)f[u]=s?r(o,i[u]):r(i[u],o);else for(var c=0;c<n;c++)f[c]=t(r,e+1,a,a[e+1],i[c],o,s);return f}(v,0,u,u[0],f,e,o):[];return new i({data:l,size:t(u),datatype:s})}}exports.name="algorithm14",exports.factory=r;
},{"../../../utils/object":"FcSp"}],"zf2Z":[function(require,module,exports) {
"use strict";var r=require("../../utils/object").extend;function t(t,e,a,n){var i=a(require("../../type/matrix/function/matrix")),u=a(require("./addScalar")),o=require("../../utils/latex.js"),s=a(require("../../type/matrix/utils/algorithm01")),x=a(require("../../type/matrix/utils/algorithm04")),y=a(require("../../type/matrix/utils/algorithm10")),c=a(require("../../type/matrix/utils/algorithm13")),f=a(require("../../type/matrix/utils/algorithm14")),l=n("add",r({"DenseMatrix, DenseMatrix":function(r,t){return c(r,t,u)},"DenseMatrix, SparseMatrix":function(r,t){return s(r,t,u,!1)},"SparseMatrix, DenseMatrix":function(r,t){return s(t,r,u,!0)},"SparseMatrix, SparseMatrix":function(r,t){return x(r,t,u)},"Array, Array":function(r,t){return l(i(r),i(t)).valueOf()},"Array, Matrix":function(r,t){return l(i(r),t)},"Matrix, Array":function(r,t){return l(r,i(t))},"DenseMatrix, any":function(r,t){return f(r,t,u,!1)},"SparseMatrix, any":function(r,t){return y(r,t,u,!1)},"any, DenseMatrix":function(r,t){return f(t,r,u,!0)},"any, SparseMatrix":function(r,t){return y(t,r,u,!0)},"Array, any":function(r,t){return f(i(r),t,u,!1).valueOf()},"any, Array":function(r,t){return f(i(t),r,u,!0).valueOf()},"any, any":u,"any, any, ...any":function(r,t,e){for(var a=l(r,t),n=0;n<e.length;n++)a=l(a,e[n]);return a}},u.signatures));return l.toTex={2:"\\left(${args[0]}".concat(o.operators.add,"${args[1]}\\right)")},l}exports.name="add",exports.factory=t;
},{"../../utils/object":"FcSp","../../type/matrix/function/matrix":"vzj5","./addScalar":"ZM3O","../../utils/latex.js":"H1Mr","../../type/matrix/utils/algorithm01":"q1c8","../../type/matrix/utils/algorithm04":"m7Qa","../../type/matrix/utils/algorithm10":"H0xb","../../type/matrix/utils/algorithm13":"NS7U","../../type/matrix/utils/algorithm14":"S2eB"}],"e3fS":[function(require,module,exports) {
"use strict";function e(e,t,a){var i=a(require("../../function/arithmetic/add")),s=a(require("../../function/relational/equalScalar"));function r(){if(!(this instanceof r))throw new SyntaxError("Constructor must be called with the new operator");this._values=[],this._heap=new e.FibonacciHeap}return r.prototype.type="Spa",r.prototype.isSpa=!0,r.prototype.set=function(e,t){if(this._values[e])this._values[e].value=t;else{var a=this._heap.insert(e,t);this._values[e]=a}},r.prototype.get=function(e){var t=this._values[e];return t?t.value:0},r.prototype.accumulate=function(e,t){var a=this._values[e];a?a.value=i(a.value,t):(a=this._heap.insert(e,t),this._values[e]=a)},r.prototype.forEach=function(e,t,a){var i=this._heap,r=this._values,u=[],o=i.extractMinimum();for(o&&u.push(o);o&&o.key<=t;)o.key>=e&&(s(o.value,0)||a(o.key,o.value,this)),(o=i.extractMinimum())&&u.push(o);for(var h=0;h<u.length;h++){var v=u[h];r[(o=i.insert(v.key,v.value)).key]=o}},r.prototype.swap=function(e,t){var a=this._values[e],i=this._values[t];if(!a&&i)a=this._heap.insert(e,i.value),this._heap.remove(i),this._values[e]=a,this._values[t]=void 0;else if(a&&!i)i=this._heap.insert(t,a.value),this._heap.remove(a),this._values[t]=i,this._values[e]=void 0;else if(a&&i){var s=a.value;a.value=i.value,i.value=s}},r}exports.name="Spa",exports.path="type",exports.factory=e;
},{"../../function/arithmetic/add":"zf2Z","../../function/relational/equalScalar":"QvIw"}],"oR02":[function(require,module,exports) {
"use strict";var r=require("../../../error/DimensionError");function t(t,e,a,n){var o=t.DenseMatrix;return function(t,e,a,i){var s=t._data,f=t._size,v=t._datatype,h=e._values,p=e._index,m=e._ptr,d=e._size,u=e._datatype;if(f.length!==d.length)throw new r(f.length,d.length);if(f[0]!==d[0]||f[1]!==d[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+d+")");if(!h)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var x,_=f[0],c=f[1],g=0,w=a;"string"==typeof v&&v===u&&(x=v,g=n.convert(0,x),w=n.find(a,[x,x]));for(var l=[],y=0;y<_;y++)l[y]=[];for(var M=[],D=[],z=0;z<c;z++){for(var E=z+1,q=m[z],A=m[z+1],B=q;B<A;B++){var C=p[B];M[C]=i?w(h[B],s[C][z]):w(s[C][z],h[B]),D[C]=E}for(var P=0;P<_;P++)D[P]===E?l[P][z]=M[P]:l[P][z]=i?w(g,s[P][z]):w(s[P][z],g)}return new o({data:l,size:[_,c],datatype:x})}}exports.name="algorithm03",exports.factory=t;
},{"../../../error/DimensionError":"YiAw"}],"u44a":[function(require,module,exports) {
"use strict";var r=require("../../../error/DimensionError");function t(t,e,a,n){var i=t.DenseMatrix;function o(r,t,e,a,n){for(var i=r._values,o=r._index,s=r._ptr,f=s[t],v=s[t+1];f<v;f++){var h=o[f];e[h]=n,a[h]=i[f]}}return function(t,e,a){var s=t._size,f=t._datatype,v=e._size,h=e._datatype;if(s.length!==v.length)throw new r(s.length,v.length);if(s[0]!==v[0]||s[1]!==v[1])throw new RangeError("Dimension mismatch. Matrix A ("+s+") must match Matrix B ("+v+")");var u,c,m,g=s[0],p=s[1],_=0,d=a;"string"==typeof f&&f===h&&(u=f,_=n.convert(0,u),d=n.find(a,[u,u]));var l=[];for(c=0;c<g;c++)l[c]=[];var x=new i({data:l,size:[g,p],datatype:u}),w=[],y=[],z=[],D=[];for(m=0;m<p;m++){var M=m+1;for(o(t,m,z,w,M),o(e,m,D,y,M),c=0;c<g;c++){var E=z[c]===M?w[c]:_,q=D[c]===M?y[c]:_;l[c][m]=d(E,q)}}return x}}exports.name="algorithm07",exports.factory=t;
},{"../../../error/DimensionError":"YiAw"}],"Pn2O":[function(require,module,exports) {
"use strict";function r(r,a,t,e){var n=r.DenseMatrix;return function(r,a,t,o){var i=r._values,f=r._index,s=r._ptr,v=r._size,p=r._datatype;if(!i)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var u,c=v[0],d=v[1],x=t;"string"==typeof p&&(u=p,a=e.convert(a,u),x=e.find(t,[u,u]));for(var _=[],l=new n({data:_,size:[c,d],datatype:u}),y=[],m=[],w=0;w<d;w++){for(var g=w+1,h=s[w],z=s[w+1],M=h;M<z;M++){var S=f[M];y[S]=i[M],m[S]=g}for(var C=0;C<c;C++)0===w&&(_[C]=[]),m[C]===g?_[C][w]=o?x(a,y[C]):x(y[C],a):_[C][w]=o?x(a,0):x(0,a)}return l}}exports.name="algorithm12",exports.factory=r;
},{}],"Q7ag":[function(require,module,exports) {
"use strict";var r=require("../../utils/number").nearlyEqual,e=require("../../utils/bignumber/nearlyEqual");function t(t,n,i,a){var u=i(require("../../type/matrix/function/matrix")),o=i(require("../../type/matrix/utils/algorithm03")),l=i(require("../../type/matrix/utils/algorithm07")),s=i(require("../../type/matrix/utils/algorithm12")),f=i(require("../../type/matrix/utils/algorithm13")),c=i(require("../../type/matrix/utils/algorithm14")),m=require("../../utils/latex"),x=a("smaller",{"boolean, boolean":function(r,e){return r<e},"number, number":function(e,t){return e<t&&!r(e,t,n.epsilon)},"BigNumber, BigNumber":function(r,t){return r.lt(t)&&!e(r,t,n.epsilon)},"Fraction, Fraction":function(r,e){return-1===r.compare(e)},"Complex, Complex":function(r,e){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(r,e){if(!r.equalBase(e))throw new Error("Cannot compare units with different base");return x(r.value,e.value)},"SparseMatrix, SparseMatrix":function(r,e){return l(r,e,x)},"SparseMatrix, DenseMatrix":function(r,e){return o(e,r,x,!0)},"DenseMatrix, SparseMatrix":function(r,e){return o(r,e,x,!1)},"DenseMatrix, DenseMatrix":function(r,e){return f(r,e,x)},"Array, Array":function(r,e){return x(u(r),u(e)).valueOf()},"Array, Matrix":function(r,e){return x(u(r),e)},"Matrix, Array":function(r,e){return x(r,u(e))},"SparseMatrix, any":function(r,e){return s(r,e,x,!1)},"DenseMatrix, any":function(r,e){return c(r,e,x,!1)},"any, SparseMatrix":function(r,e){return s(e,r,x,!0)},"any, DenseMatrix":function(r,e){return c(e,r,x,!0)},"Array, any":function(r,e){return c(u(r),e,x,!1).valueOf()},"any, Array":function(r,e){return c(u(e),r,x,!0).valueOf()}});return x.toTex={2:"\\left(${args[0]}".concat(m.operators.smaller,"${args[1]}\\right)")},x}exports.name="smaller",exports.factory=t;
},{"../../utils/number":"uqMu","../../utils/bignumber/nearlyEqual":"Uu9K","../../type/matrix/function/matrix":"vzj5","../../type/matrix/utils/algorithm03":"oR02","../../type/matrix/utils/algorithm07":"u44a","../../type/matrix/utils/algorithm12":"Pn2O","../../type/matrix/utils/algorithm13":"NS7U","../../type/matrix/utils/algorithm14":"S2eB","../../utils/latex":"H1Mr"}],"SrDl":[function(require,module,exports) {
"use strict";var r=require("../../utils/number").nearlyEqual,e=require("../../utils/bignumber/nearlyEqual");function t(t,n,i,a){var u=i(require("../../type/matrix/function/matrix")),o=i(require("../../type/matrix/utils/algorithm03")),l=i(require("../../type/matrix/utils/algorithm07")),s=i(require("../../type/matrix/utils/algorithm12")),f=i(require("../../type/matrix/utils/algorithm13")),c=i(require("../../type/matrix/utils/algorithm14")),x=require("../../utils/latex"),m=a("larger",{"boolean, boolean":function(r,e){return r>e},"number, number":function(e,t){return e>t&&!r(e,t,n.epsilon)},"BigNumber, BigNumber":function(r,t){return r.gt(t)&&!e(r,t,n.epsilon)},"Fraction, Fraction":function(r,e){return 1===r.compare(e)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(r,e){if(!r.equalBase(e))throw new Error("Cannot compare units with different base");return m(r.value,e.value)},"SparseMatrix, SparseMatrix":function(r,e){return l(r,e,m)},"SparseMatrix, DenseMatrix":function(r,e){return o(e,r,m,!0)},"DenseMatrix, SparseMatrix":function(r,e){return o(r,e,m,!1)},"DenseMatrix, DenseMatrix":function(r,e){return f(r,e,m)},"Array, Array":function(r,e){return m(u(r),u(e)).valueOf()},"Array, Matrix":function(r,e){return m(u(r),e)},"Matrix, Array":function(r,e){return m(r,u(e))},"SparseMatrix, any":function(r,e){return s(r,e,m,!1)},"DenseMatrix, any":function(r,e){return c(r,e,m,!1)},"any, SparseMatrix":function(r,e){return s(e,r,m,!0)},"any, DenseMatrix":function(r,e){return c(e,r,m,!0)},"Array, any":function(r,e){return c(u(r),e,m,!1).valueOf()},"any, Array":function(r,e){return c(u(e),r,m,!0).valueOf()}});return m.toTex={2:"\\left(${args[0]}".concat(x.operators.larger,"${args[1]}\\right)")},m}exports.name="larger",exports.factory=t;
},{"../../utils/number":"uqMu","../../utils/bignumber/nearlyEqual":"Uu9K","../../type/matrix/function/matrix":"vzj5","../../type/matrix/utils/algorithm03":"oR02","../../type/matrix/utils/algorithm07":"u44a","../../type/matrix/utils/algorithm12":"Pn2O","../../type/matrix/utils/algorithm13":"NS7U","../../type/matrix/utils/algorithm14":"S2eB","../../utils/latex":"H1Mr"}],"ifbV":[function(require,module,exports) {
"use strict";function t(t,i,r,e){var h=r(require("../../function/relational/smaller")),n=r(require("../../function/relational/larger")),l=1/Math.log((1+Math.sqrt(5))/2);function o(){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");this._minimum=null,this._size=0}function f(t,i,r){i.left.right=i.right,i.right.left=i.left,r.degree--,r.child===i&&(r.child=i.right),0===r.degree&&(r.child=null),i.left=t,i.right=t.right,t.right=i,i.right.left=i,i.parent=null,i.mark=!1}o.prototype.type="FibonacciHeap",o.prototype.isFibonacciHeap=!0,o.prototype.insert=function(t,i){var r={key:t,value:i,degree:0};if(this._minimum){var e=this._minimum;r.left=e,r.right=e.right,e.right=r,r.right.left=r,h(t,e.key)&&(this._minimum=r)}else r.left=r,r.right=r,this._minimum=r;return this._size++,r},o.prototype.size=function(){return this._size},o.prototype.clear=function(){this._minimum=null,this._size=0},o.prototype.isEmpty=function(){return 0===this._size},o.prototype.extractMinimum=function(){var t=this._minimum;if(null===t)return t;for(var i=this._minimum,r=t.degree,e=t.child;r>0;){var o=e.right;e.left.right=e.right,e.right.left=e.left,e.left=i,e.right=i.right,i.right=e,e.right.left=e,e.parent=null,e=o,r--}return t.left.right=t.right,t.right.left=t.left,i=t===t.right?null:function(t,i){var r,e=Math.floor(Math.log(i)*l)+1,o=new Array(e),f=0,u=t;if(u)for(f++,u=u.right;u!==t;)f++,u=u.right;for(;f>0;){for(var a=u.degree,m=u.right;r=o[a];){if(n(u.key,r.key)){var s=r;r=u,u=s}g(r,u),o[a]=null,a++}o[a]=u,u=m,f--}t=null;for(var c=0;c<e;c++)(r=o[c])&&(t?(r.left.right=r.right,r.right.left=r.left,r.left=t,r.right=t.right,t.right=r,r.right.left=r,h(r.key,t.key)&&(t=r)):t=r);return t}(i=t.right,this._size),this._size--,this._minimum=i,t},o.prototype.remove=function(t){this._minimum=function(t,i,r){i.key=r;var e=i.parent;e&&h(i.key,e.key)&&(f(t,i,e),function t(i,r){var e=r.parent;if(!e)return;r.mark?(f(i,r,e),t(e)):r.mark=!0}(t,e));h(i.key,t.key)&&(t=i);return t}(this._minimum,t,-1),this.extractMinimum()};var g=function(t,i){t.left.right=t.right,t.right.left=t.left,t.parent=i,i.child?(t.left=i.child,t.right=i.child.right,i.child.right=t,t.right.left=t):(i.child=t,t.right=t,t.left=t),i.degree++,t.mark=!1};return o}exports.name="FibonacciHeap",exports.path="type",exports.factory=t;
},{"../../function/relational/smaller":"Q7ag","../../function/relational/larger":"SrDl"}],"B6L6":[function(require,module,exports) {
"use strict";var t=require("../../utils/index"),e=t.string,n=t.object,a=Array.isArray,i=e.isString;function r(e,r,o){var s=o(require("./DenseMatrix")),u=o(require("../../function/relational/smaller"));function p(n,r){if(!(this instanceof p))throw new SyntaxError("Constructor must be called with the new operator");if(r&&!i(r))throw new Error("Invalid datatype: "+r);if(e.isMatrix(n)||a(n)){var o=new s(n,r);this._data=o._data,this._size=o._size,this._datatype=o._datatype,this._min=null,this._max=null}else if(n&&a(n.data)&&a(n.size))this._data=n.data,this._size=n.size,this._datatype=n.datatype,this._min=void 0!==n.min?n.min:null,this._max=void 0!==n.max?n.max:null;else{if(n)throw new TypeError("Unsupported type of data ("+t.types.type(n)+")");this._data=[],this._size=[0],this._datatype=r,this._min=null,this._max=null}}return p.prototype=new s,p.prototype.type="ImmutableDenseMatrix",p.prototype.isImmutableDenseMatrix=!0,p.prototype.subset=function(t){switch(arguments.length){case 1:var n=s.prototype.subset.call(this,t);return e.isMatrix(n)?new p({data:n._data,size:n._size,datatype:n._datatype}):n;case 2:case 3:throw new Error("Cannot invoke set subset on an Immutable Matrix instance");default:throw new SyntaxError("Wrong number of arguments")}},p.prototype.set=function(){throw new Error("Cannot invoke set on an Immutable Matrix instance")},p.prototype.resize=function(){throw new Error("Cannot invoke resize on an Immutable Matrix instance")},p.prototype.reshape=function(){throw new Error("Cannot invoke reshape on an Immutable Matrix instance")},p.prototype.clone=function(){return new p({data:n.clone(this._data),size:n.clone(this._size),datatype:this._datatype})},p.prototype.toJSON=function(){return{mathjs:"ImmutableDenseMatrix",data:this._data,size:this._size,datatype:this._datatype}},p.fromJSON=function(t){return new p(t)},p.prototype.swapRows=function(){throw new Error("Cannot invoke swapRows on an Immutable Matrix instance")},p.prototype.min=function(){if(null===this._min){var t=null;this.forEach(function(e){(null===t||u(e,t))&&(t=e)}),this._min=null!==t?t:void 0}return this._min},p.prototype.max=function(){if(null===this._max){var t=null;this.forEach(function(e){(null===t||u(t,e))&&(t=e)}),this._max=null!==t?t:void 0}return this._max},p}exports.name="ImmutableDenseMatrix",exports.path="type",exports.factory=r;
},{"../../utils/index":"fsXI","./DenseMatrix":"bZ8L","../../function/relational/smaller":"Q7ag"}],"SL3U":[function(require,module,exports) {
"use strict";var t=require("../../utils/object").clone,n=require("../../utils/number").isInteger;function i(i){function e(t){if(!(this instanceof e))throw new SyntaxError("Constructor must be called with the new operator");this._dimensions=[],this._isScalar=!0;for(var n=0,s=arguments.length;n<s;n++){var o=arguments[n];if(i.isRange(o))this._dimensions.push(o),this._isScalar=!1;else if(Array.isArray(o)||i.isMatrix(o)){var a=r(o.valueOf());this._dimensions.push(a);var p=a.size();1===p.length&&1===p[0]||(this._isScalar=!1)}else if("number"==typeof o)this._dimensions.push(r([o]));else{if("string"!=typeof o)throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range");this._dimensions.push(o)}}}function r(t){for(var e=0,r=t.length;e<r;e++)if("number"!=typeof t[e]||!n(t[e]))throw new TypeError("Index parameters must be positive integer numbers");return new i.ImmutableDenseMatrix(t)}return e.prototype.type="Index",e.prototype.isIndex=!0,e.prototype.clone=function(){var n=new e;return n._dimensions=t(this._dimensions),n._isScalar=this._isScalar,n},e.create=function(t){var n=new e;return e.apply(n,t),n},e.prototype.size=function(){for(var t=[],n=0,i=this._dimensions.length;n<i;n++){var e=this._dimensions[n];t[n]="string"==typeof e?1:e.size()[0]}return t},e.prototype.max=function(){for(var t=[],n=0,i=this._dimensions.length;n<i;n++){var e=this._dimensions[n];t[n]="string"==typeof e?e:e.max()}return t},e.prototype.min=function(){for(var t=[],n=0,i=this._dimensions.length;n<i;n++){var e=this._dimensions[n];t[n]="string"==typeof e?e:e.min()}return t},e.prototype.forEach=function(t){for(var n=0,i=this._dimensions.length;n<i;n++)t(this._dimensions[n],n,this)},e.prototype.dimension=function(t){return this._dimensions[t]||null},e.prototype.isObjectProperty=function(){return 1===this._dimensions.length&&"string"==typeof this._dimensions[0]},e.prototype.getObjectProperty=function(){return this.isObjectProperty()?this._dimensions[0]:null},e.prototype.isScalar=function(){return this._isScalar},e.prototype.toArray=function(){for(var t=[],n=0,i=this._dimensions.length;n<i;n++){var e=this._dimensions[n];t.push("string"==typeof e?e:e.toArray())}return t},e.prototype.valueOf=e.prototype.toArray,e.prototype.toString=function(){for(var t=[],n=0,i=this._dimensions.length;n<i;n++){var e=this._dimensions[n];"string"==typeof e?t.push(JSON.stringify(e)):t.push(e.toString())}return"["+t.join(", ")+"]"},e.prototype.toJSON=function(){return{mathjs:"Index",dimensions:this._dimensions}},e.fromJSON=function(t){return e.create(t.dimensions)},e}exports.name="Index",exports.path="type",exports.factory=i;
},{"../../utils/object":"FcSp","../../utils/number":"uqMu"}],"rRNx":[function(require,module,exports) {
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"use strict";function r(r,n,e,t){return t("index",{"...number | string | BigNumber | Range | Array | Matrix":function(n){var e=n.map(function(n){return r.isBigNumber(n)?n.toNumber():Array.isArray(n)||r.isMatrix(n)?n.map(function(n){return r.isBigNumber(n)?n.toNumber():n}):n}),t=new r.Index;return r.Index.apply(t,e),t}})}exports.name="index",exports.factory=r;
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"use strict";function r(r,n,t,e){var s=r.SparseMatrix,a=e("sparse",{"":function(){return new s([])},string:function(r){return new s([],r)},"Array | Matrix":function(r){return new s(r)},"Array | Matrix, string":function(r,n){return new s(r,n)}});return a.toTex={0:"\\begin{bsparse}\\end{bsparse}",1:"\\left(${args[0]}\\right)"},a}exports.name="sparse",exports.factory=r;
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"use strict";module.exports=[require("./Matrix"),require("./DenseMatrix"),require("./SparseMatrix"),require("./Spa"),require("./FibonacciHeap"),require("./ImmutableDenseMatrix"),require("./MatrixIndex"),require("./Range"),require("./function/index"),require("./function/matrix"),require("./function/sparse"),require("./utils/getArrayDataType")];
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"use strict";var r=require("./../utils/collection/deepMap");function n(n,t,e,u){var i=u("number",{"":function(){return 0},number:function(r){return r},string:function(r){if("NaN"===r)return NaN;var n=Number(r);if(isNaN(n))throw new SyntaxError('String "'+r+'" is no valid number');return n},BigNumber:function(r){return r.toNumber()},Fraction:function(r){return r.valueOf()},Unit:function(r){throw new Error("Second argument with valueless unit expected")},null:function(r){return 0},"Unit, string | Unit":function(r,n){return r.toNumber(n)},"Array | Matrix":function(n){return r(n,i)}});return i.toTex={0:"0",1:"\\left(${args[0]}\\right)",2:"\\left(\\left(${args[0]}\\right)${args[1]}\\right)"},i}exports.name="number",exports.factory=n;
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"use strict";function r(r,e,t,n){var i=t(require("../function/utils/typeof")),o={string:!0,number:!0,BigNumber:!0,Fraction:!0},u={number:t(require("./number")),BigNumber:t(require("./bignumber/function/bignumber")),Fraction:t(require("./fraction/function/fraction"))},c=function(r,e){var t=i(r);if(!(t in o))throw new TypeError("Cannot convert "+r+' of type "'+t+'"; valid input types are '+Object.keys(o).join(", "));if(!(e in u))throw new TypeError("Cannot convert "+r+' to type "'+e+'"; valid output types are '+Object.keys(u).join(", "));return e===t?r:u[e](r)};return c.toTex=function(r,e){return r.args[0].toTex()},c}exports.path="type",exports.name="_numeric",exports.factory=r;
},{"../function/utils/typeof":"LZTG","./number":"lESm","./bignumber/function/bignumber":"ejiJ","./fraction/function/fraction":"CouR"}],"hpV8":[function(require,module,exports) {
"use strict";function t(t,e,r,n){function o(t){if(!(this instanceof o))throw new SyntaxError("Constructor must be called with the new operator");this.entries=t||[]}return o.prototype.type="ResultSet",o.prototype.isResultSet=!0,o.prototype.valueOf=function(){return this.entries},o.prototype.toString=function(){return"["+this.entries.join(", ")+"]"},o.prototype.toJSON=function(){return{mathjs:"ResultSet",entries:this.entries}},o.fromJSON=function(t){return new o(t.entries)},o}exports.name="ResultSet",exports.path="type",exports.factory=t;
},{}],"seRb":[function(require,module,exports) {
"use strict";module.exports=[require("./ResultSet")];
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"use strict";var r=require("./../utils/collection/deepMap"),t=require("../utils/number");function n(n,e,u,i){var o=i("string",{"":function(){return""},number:t.format,null:function(r){return"null"},boolean:function(r){return r+""},string:function(r){return r},"Array | Matrix":function(t){return r(t,o)},any:function(r){return String(r)}});return o.toTex={0:'\\mathtt{""}',1:"\\mathrm{string}\\left(${args[0]}\\right)"},o}exports.name="string",exports.factory=n;
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"use strict";var e=require("../function").memoize;function n(e){return e[0].precision}exports.e=e(function(e){return new e(1).exp()},n),exports.phi=e(function(e){return new e(1).plus(new e(5).sqrt()).div(2)},n),exports.pi=e(function(e){return e.acos(-1)},n),exports.tau=e(function(e){return exports.pi(e).times(2)},n);
},{"../function":"woyg"}],"q5A1":[function(require,module,exports) {
"use strict";var r=require("../../utils/collection/deepMap");function n(n,e,t,u){var i=require("../../utils/latex"),o=u("unaryMinus",{number:function(r){return-r},Complex:function(r){return r.neg()},BigNumber:function(r){return r.neg()},Fraction:function(r){return r.neg()},Unit:function(r){var n=r.clone();return n.value=o(r.value),n},"Array | Matrix":function(n){return r(n,o,!0)}});return o.toTex={1:"".concat(i.operators.unaryMinus,"\\left(${args[0]}\\right)")},o}exports.name="unaryMinus",exports.factory=n;
},{"../../utils/collection/deepMap":"lOYo","../../utils/latex":"H1Mr"}],"JNXe":[function(require,module,exports) {
"use strict";var r=require("../../../error/DimensionError");function e(e,t,i,a){var n=i(require("../../../function/relational/equalScalar")),o=e.SparseMatrix;return function(e,t,i){var s=e._values,l=e._index,u=e._ptr,f=e._size,h=e._datatype,v=t._values,p=t._index,d=t._ptr,c=t._size,g=t._datatype;if(f.length!==c.length)throw new r(f.length,c.length);if(f[0]!==c[0]||f[1]!==c[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+c+")");var _,m=f[0],x=f[1],w=n,y=0,q=i;"string"==typeof h&&h===g&&(_=h,w=a.find(n,[_,_]),y=a.convert(0,_),q=a.find(i,[_,_]));var z,M,D,E,S=s&&v?[]:void 0,A=[],B=[],R=new o({values:S,index:A,ptr:B,size:[m,x],datatype:_}),b=S?[]:void 0,j=S?[]:void 0,k=[],C=[];for(M=0;M<x;M++){B[M]=A.length;var F=M+1;for(D=u[M],E=u[M+1];D<E;D++)z=l[D],A.push(z),k[z]=F,b&&(b[z]=s[D]);for(D=d[M],E=d[M+1];D<E;D++)k[z=p[D]]!==F&&A.push(z),C[z]=F,j&&(j[z]=v[D]);if(S)for(D=B[M];D<A.length;){var G=k[z=A[D]],H=C[z];if(G===F||H===F){var I=q(G===F?b[z]:y,H===F?j[z]:y);w(I,y)?A.splice(D,1):(S.push(I),D++)}}}return B[x]=A.length,R}}exports.name="algorithm05",exports.factory=e;
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"use strict";var r=require("../../error/DimensionError");function t(r,t,n,i){var u=require("../../utils/latex"),a=n(require("../../type/matrix/function/matrix")),o=n(require("./addScalar")),s=n(require("./unaryMinus")),l=n(require("../../type/matrix/utils/algorithm01")),c=n(require("../../type/matrix/utils/algorithm03")),f=n(require("../../type/matrix/utils/algorithm05")),x=n(require("../../type/matrix/utils/algorithm10")),m=n(require("../../type/matrix/utils/algorithm13")),y=n(require("../../type/matrix/utils/algorithm14")),h=i("subtract",{"number, number":function(r,t){return r-t},"Complex, Complex":function(r,t){return r.sub(t)},"BigNumber, BigNumber":function(r,t){return r.minus(t)},"Fraction, Fraction":function(r,t){return r.sub(t)},"Unit, Unit":function(r,t){if(null===r.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(!r.equalBase(t))throw new Error("Units do not match");var e=r.clone();return e.value=h(e.value,t.value),e.fixPrefix=!1,e},"SparseMatrix, SparseMatrix":function(r,t){return e(r,t),f(r,t,h)},"SparseMatrix, DenseMatrix":function(r,t){return e(r,t),c(t,r,h,!0)},"DenseMatrix, SparseMatrix":function(r,t){return e(r,t),l(r,t,h,!1)},"DenseMatrix, DenseMatrix":function(r,t){return e(r,t),m(r,t,h)},"Array, Array":function(r,t){return h(a(r),a(t)).valueOf()},"Array, Matrix":function(r,t){return h(a(r),t)},"Matrix, Array":function(r,t){return h(r,a(t))},"SparseMatrix, any":function(r,t){return x(r,s(t),o)},"DenseMatrix, any":function(r,t){return y(r,t,h)},"any, SparseMatrix":function(r,t){return x(t,r,h,!0)},"any, DenseMatrix":function(r,t){return y(t,r,h,!0)},"Array, any":function(r,t){return y(a(r),t,h,!1).valueOf()},"any, Array":function(r,t){return y(a(t),r,h,!0).valueOf()}});return h.toTex={2:"\\left(${args[0]}".concat(u.operators.subtract,"${args[1]}\\right)")},h}function e(t,e){var n=t.size(),i=e.size();if(n.length!==i.length)throw new r(n.length,i.length)}exports.name="subtract",exports.factory=t;
},{"../../error/DimensionError":"YiAw","../../utils/latex":"H1Mr","../../type/matrix/function/matrix":"vzj5","./addScalar":"ZM3O","./unaryMinus":"q5A1","../../type/matrix/utils/algorithm01":"q1c8","../../type/matrix/utils/algorithm03":"oR02","../../type/matrix/utils/algorithm05":"JNXe","../../type/matrix/utils/algorithm10":"H0xb","../../type/matrix/utils/algorithm13":"NS7U","../../type/matrix/utils/algorithm14":"S2eB"}],"obRw":[function(require,module,exports) {
"use strict";function n(n,r,u,e){var t=e("multiplyScalar",{"number, number":function(n,r){return n*r},"Complex, Complex":function(n,r){return n.mul(r)},"BigNumber, BigNumber":function(n,r){return n.times(r)},"Fraction, Fraction":function(n,r){return n.mul(r)},"number | Fraction | BigNumber | Complex, Unit":function(n,r){var u=r.clone();return u.value=null===u.value?u._normalize(n):t(u.value,n),u},"Unit, number | Fraction | BigNumber | Complex":function(n,r){var u=n.clone();return u.value=null===u.value?u._normalize(r):t(u.value,r),u},"Unit, Unit":function(n,r){return n.multiply(r)}});return t}exports.factory=n;
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"use strict";function n(n,r,e,u){var i=e(require("../../type/numeric")),t=e(require("../../function/utils/typeof")),o=u("divide",{"number, number":function(n,r){return n/r},"Complex, Complex":function(n,r){return n.div(r)},"BigNumber, BigNumber":function(n,r){return n.div(r)},"Fraction, Fraction":function(n,r){return n.div(r)},"Unit, number | Fraction | BigNumber":function(n,r){var e=n.clone(),u=i(1,t(r));return e.value=o(null===e.value?e._normalize(u):e.value,r),e},"number | Fraction | BigNumber, Unit":function(n,r){var e=r.clone();e=e.pow(-1);var u=i(1,t(n));return e.value=o(n,null===r.value?r._normalize(u):r.value),e},"Unit, Unit":function(n,r){return n.divide(r)}});return o}exports.factory=n;
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"use strict";var r=require("../../utils/array"),e=require("../../utils/number").isInteger;function t(t,i,n,u){var a=n(require("../../type/matrix/function/matrix")),o=u("identity",{"":function(){return"Matrix"===i.matrix?a([]):[]},string:function(r){return a(r)},"number | BigNumber":function(r){return m(r,r,"Matrix"===i.matrix?"default":void 0)},"number | BigNumber, string":function(r,e){return m(r,r,e)},"number | BigNumber, number | BigNumber":function(r,e){return m(r,e,"Matrix"===i.matrix?"default":void 0)},"number | BigNumber, number | BigNumber, string":function(r,e,t){return m(r,e,t)},Array:function(r){return s(r)},"Array, string":function(r,e){return s(r,e)},Matrix:function(r){return s(r.valueOf(),r.storage())},"Matrix, string":function(r,e){return s(r.valueOf(),e)}});return o.toTex=void 0,o;function s(r,e){switch(r.length){case 0:return e?a(e):[];case 1:return m(r[0],r[0],e);case 2:return m(r[0],r[1],e);default:throw new Error("Vector containing two values expected")}}function m(i,n,u){var a=t.isBigNumber(i)||t.isBigNumber(n)?t.BigNumber:null;if(t.isBigNumber(i)&&(i=i.toNumber()),t.isBigNumber(n)&&(n=n.toNumber()),!e(i)||i<1)throw new Error("Parameters in function identity must be positive integers");if(!e(n)||n<1)throw new Error("Parameters in function identity must be positive integers");var o=a?new t.BigNumber(1):1,s=a?new a(0):0,m=[i,n];if(u)return t.Matrix.storage(u).diagonal(m,o,0,s);for(var f=r.resize([],m,s),c=i<n?i:n,g=0;g<c;g++)f[g][g]=o;return f}}exports.name="identity",exports.factory=t;
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},{"../../utils/array":"j2lF","./Node":"dnbo"}],"ft5y":[function(require,module,exports) {
"use strict";function t(r){return(t="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t})(r)}function r(o){return(r="function"==typeof Symbol&&"symbol"===t(Symbol.iterator)?function(r){return t(r)}:function(r){return r&&"function"==typeof Symbol&&r.constructor===Symbol&&r!==Symbol.prototype?"symbol":t(r)})(o)}var o=require("../../transform/error.transform").transform,e=require("../../../utils/customs").setSafeProperty;function n(t,n,u,y){var i=u(require("../../../function/matrix/subset")),f=u(require("../../../type/matrix/function/matrix"));return function(t,n,u){try{if(Array.isArray(t))return f(t).subset(n,u).valueOf();if(t&&"function"==typeof t.subset)return t.subset(n,u);if("string"==typeof t)return i(t,n,u);if("object"===r(t)){if(!n.isObjectProperty())throw TypeError("Cannot apply a numeric index as object property");return e(t,n.getObjectProperty(),u),t}throw new TypeError("Cannot apply index: unsupported type of object")}catch(y){throw o(y)}}}exports.factory=n;
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"use strict";var t=[{AssignmentNode:{},FunctionAssignmentNode:{}},{ConditionalNode:{latexLeftParens:!1,latexRightParens:!1,latexParens:!1}},{"OperatorNode:or":{associativity:"left",associativeWith:[]}},{"OperatorNode:xor":{associativity:"left",associativeWith:[]}},{"OperatorNode:and":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitOr":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitXor":{associativity:"left",associativeWith:[]}},{"OperatorNode:bitAnd":{associativity:"left",associativeWith:[]}},{"OperatorNode:equal":{associativity:"left",associativeWith:[]},"OperatorNode:unequal":{associativity:"left",associativeWith:[]},"OperatorNode:smaller":{associativity:"left",associativeWith:[]},"OperatorNode:larger":{associativity:"left",associativeWith:[]},"OperatorNode:smallerEq":{associativity:"left",associativeWith:[]},"OperatorNode:largerEq":{associativity:"left",associativeWith:[]},RelationalNode:{associativity:"left",associativeWith:[]}},{"OperatorNode:leftShift":{associativity:"left",associativeWith:[]},"OperatorNode:rightArithShift":{associativity:"left",associativeWith:[]},"OperatorNode:rightLogShift":{associativity:"left",associativeWith:[]}},{"OperatorNode:to":{associativity:"left",associativeWith:[]}},{RangeNode:{}},{"OperatorNode:add":{associativity:"left",associativeWith:["OperatorNode:add","OperatorNode:subtract"]},"OperatorNode:subtract":{associativity:"left",associativeWith:[]}},{"OperatorNode:multiply":{associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","Operator:dotMultiply","Operator:dotDivide"]},"OperatorNode:divide":{associativity:"left",associativeWith:[],latexLeftParens:!1,latexRightParens:!1,latexParens:!1},"OperatorNode:dotMultiply":{associativity:"left",associativeWith:["OperatorNode:multiply","OperatorNode:divide","OperatorNode:dotMultiply","OperatorNode:doDivide"]},"OperatorNode:dotDivide":{associativity:"left",associativeWith:[]},"OperatorNode:mod":{associativity:"left",associativeWith:[]}},{"OperatorNode:unaryPlus":{associativity:"right"},"OperatorNode:unaryMinus":{associativity:"right"},"OperatorNode:bitNot":{associativity:"right"},"OperatorNode:not":{associativity:"right"}},{"OperatorNode:pow":{associativity:"right",associativeWith:[],latexRightParens:!1},"OperatorNode:dotPow":{associativity:"right",associativeWith:[]}},{"OperatorNode:factorial":{associativity:"left"}},{"OperatorNode:transpose":{associativity:"left"}}];function i(i,e){var a=i;"keep"!==e&&(a=i.getContent());for(var o=a.getIdentifier(),r=0;r<t.length;r++)if(o in t[r])return r;return null}function e(e,a){var o=e;"keep"!==a&&(o=e.getContent());var r=o.getIdentifier(),s=i(o,a);if(null===s)return null;var v=t[s][r];if(v.hasOwnProperty("associativity")){if("left"===v.associativity)return"left";if("right"===v.associativity)return"right";throw Error("'"+r+"' has the invalid associativity '"+v.associativity+"'.")}return null}function a(e,a,o){var r="keep"!==o?e.getContent():e,s="keep"!==o?e.getContent():a,v=r.getIdentifier(),l=s.getIdentifier(),c=i(r,o);if(null===c)return null;var d=t[c][v];if(d.hasOwnProperty("associativeWith")&&d.associativeWith instanceof Array){for(var n=0;n<d.associativeWith.length;n++)if(d.associativeWith[n]===l)return!0;return!1}return null}module.exports.properties=t,module.exports.getPrecedence=i,module.exports.getAssociativity=e,module.exports.isAssociativeWith=a;
},{}],"yw4P":[function(require,module,exports) {
"use strict";var e=require("../../utils/customs").getSafeProperty,t=require("../../utils/customs").setSafeProperty;function i(i,o,n,r){var s=n(require("./Node")),a=n(require("./utils/assign")),h=n(require("./utils/access")),c=require("../operators");function u(e,t,o){if(!(this instanceof u))throw new SyntaxError("Constructor must be called with the new operator");if(this.object=e,this.index=o?t:null,this.value=o||t,!i.isSymbolNode(e)&&!i.isAccessorNode(e))throw new TypeError('SymbolNode or AccessorNode expected as "object"');if(i.isSymbolNode(e)&&"end"===e.name)throw new Error('Cannot assign to symbol "end"');if(this.index&&!i.isIndexNode(this.index))throw new TypeError('IndexNode expected as "index"');if(!i.isNode(this.value))throw new TypeError('Node expected as "value"');Object.defineProperty(this,"name",{get:function(){return this.index?this.index.isObjectProperty()?this.index.getObjectProperty():"":this.object.name||""}.bind(this),set:function(){throw new Error("Cannot assign a new name, name is read-only")}})}function p(e,t){t||(t="keep");var i=c.getPrecedence(e,t),o=c.getPrecedence(e.value,t);return"all"===t||null!==o&&o<=i}return u.prototype=new s,u.prototype.type="AssignmentNode",u.prototype.isAssignmentNode=!0,u.prototype._compile=function(o,n){var r=this.object._compile(o,n),s=this.index?this.index._compile(o,n):null,c=this.value._compile(o,n),u=this.object.name;if(this.index){if(this.index.isObjectProperty()){var p=this.index.getObjectProperty();return function(e,i,o){var n=r(e,i,o),s=c(e,i,o);return t(n,p,s)}}if(i.isSymbolNode(this.object))return function(e,i,o){var n=r(e,i,o),h=c(e,i,o),p=s(e,i,n);return t(e,u,a(n,p,h)),h};var d=this.object.object._compile(o,n);if(this.object.index.isObjectProperty()){var l=this.object.index.getObjectProperty();return function(i,o,n){var r=d(i,o,n),h=e(r,l),u=s(i,o,h),p=c(i,o,n);return t(r,l,a(h,u,p)),p}}var x=this.object.index._compile(o,n);return function(e,t,i){var o=d(e,t,i),n=x(e,t,o),r=h(o,n),u=s(e,t,r),p=c(e,t,i);return a(o,n,a(r,u,p)),p}}if(!i.isSymbolNode(this.object))throw new TypeError("SymbolNode expected as object");return function(e,i,o){return t(e,u,c(e,i,o))}},u.prototype.forEach=function(e){e(this.object,"object",this),this.index&&e(this.index,"index",this),e(this.value,"value",this)},u.prototype.map=function(e){return new u(this._ifNode(e(this.object,"object",this)),this.index?this._ifNode(e(this.index,"index",this)):null,this._ifNode(e(this.value,"value",this)))},u.prototype.clone=function(){return new u(this.object,this.index,this.value)},u.prototype._toString=function(e){var t=this.object.toString(e),i=this.index?this.index.toString(e):"",o=this.value.toString(e);return p(this,e&&e.parenthesis)&&(o="("+o+")"),t+i+" = "+o},u.prototype.toJSON=function(){return{mathjs:"AssignmentNode",object:this.object,index:this.index,value:this.value}},u.fromJSON=function(e){return new u(e.object,e.index,e.value)},u.prototype.toHTML=function(e){var t=this.object.toHTML(e),i=this.index?this.index.toHTML(e):"",o=this.value.toHTML(e);return p(this,e&&e.parenthesis)&&(o='<span class="math-paranthesis math-round-parenthesis">(</span>'+o+'<span class="math-paranthesis math-round-parenthesis">)</span>'),t+i+'<span class="math-operator math-assignment-operator math-variable-assignment-operator math-binary-operator">=</span>'+o},u.prototype._toTex=function(e){var t=this.object.toTex(e),i=this.index?this.index.toTex(e):"",o=this.value.toTex(e);return p(this,e&&e.parenthesis)&&(o="\\left(".concat(o,"\\right)")),t+i+":="+o},u}exports.name="AssignmentNode",exports.path="expression.node",exports.factory=i;
},{"../../utils/customs":"PAPk","./Node":"dnbo","./utils/assign":"ft5y","./utils/access":"oT9r","../operators":"Huid"}],"QBkn":[function(require,module,exports) {
"use strict";var o=require("../../utils/array").forEach,e=require("../../utils/array").map;function t(t,r,n,i){var s=n(require("./Node")),p=n(require("../../type/resultset/ResultSet"));function a(o){if(!(this instanceof a))throw new SyntaxError("Constructor must be called with the new operator");if(!Array.isArray(o))throw new Error("Array expected");this.blocks=o.map(function(o){var e=o&&o.node,r=!o||void 0===o.visible||o.visible;if(!t.isNode(e))throw new TypeError('Property "node" must be a Node');if("boolean"!=typeof r)throw new TypeError('Property "visible" must be a boolean');return{node:e,visible:r}})}return a.prototype=new s,a.prototype.type="BlockNode",a.prototype.isBlockNode=!0,a.prototype._compile=function(t,r){var n=e(this.blocks,function(o){return{eval:o.node._compile(t,r),visible:o.visible}});return function(e,t,r){var i=[];return o(n,function(o){var n=o.eval(e,t,r);o.visible&&i.push(n)}),new p(i)}},a.prototype.forEach=function(o){for(var e=0;e<this.blocks.length;e++)o(this.blocks[e].node,"blocks["+e+"].node",this)},a.prototype.map=function(o){for(var e=[],t=0;t<this.blocks.length;t++){var r=this.blocks[t],n=this._ifNode(o(r.node,"blocks["+t+"].node",this));e[t]={node:n,visible:r.visible}}return new a(e)},a.prototype.clone=function(){return new a(this.blocks.map(function(o){return{node:o.node,visible:o.visible}}))},a.prototype._toString=function(o){return this.blocks.map(function(e){return e.node.toString(o)+(e.visible?"":";")}).join("\n")},a.prototype.toJSON=function(){return{mathjs:"BlockNode",blocks:this.blocks}},a.fromJSON=function(o){return new a(o.blocks)},a.prototype.toHTML=function(o){return this.blocks.map(function(e){return e.node.toHTML(o)+(e.visible?"":'<span class="math-separator">;</span>')}).join('<span class="math-separator"><br /></span>')},a.prototype._toTex=function(o){return this.blocks.map(function(e){return e.node.toTex(o)+(e.visible?"":";")}).join("\\;\\;\n")},a}exports.name="BlockNode",exports.path="expression.node",exports.factory=t;
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"use strict";var t=require("../operators");function e(e,r,o,i){var n=o(require("./Node")),s=o(require("../../function/utils/typeof"));function p(t,r,o){if(!(this instanceof p))throw new SyntaxError("Constructor must be called with the new operator");if(!e.isNode(t))throw new TypeError("Parameter condition must be a Node");if(!e.isNode(r))throw new TypeError("Parameter trueExpr must be a Node");if(!e.isNode(o))throw new TypeError("Parameter falseExpr must be a Node");this.condition=t,this.trueExpr=r,this.falseExpr=o}return p.prototype=new n,p.prototype.type="ConditionalNode",p.prototype.isConditionalNode=!0,p.prototype._compile=function(t,r){var o=this.condition._compile(t,r),i=this.trueExpr._compile(t,r),n=this.falseExpr._compile(t,r);return function(t,r,p){return function(t){if("number"==typeof t||"boolean"==typeof t||"string"==typeof t)return!!t;if(t){if(e.isBigNumber(t))return!t.isZero();if(e.isComplex(t))return!(!t.re&&!t.im);if(e.isUnit(t))return!!t.value}if(null==t)return!1;throw new TypeError('Unsupported type of condition "'+s(t)+'"')}(o(t,r,p))?i(t,r,p):n(t,r,p)}},p.prototype.forEach=function(t){t(this.condition,"condition",this),t(this.trueExpr,"trueExpr",this),t(this.falseExpr,"falseExpr",this)},p.prototype.map=function(t){return new p(this._ifNode(t(this.condition,"condition",this)),this._ifNode(t(this.trueExpr,"trueExpr",this)),this._ifNode(t(this.falseExpr,"falseExpr",this)))},p.prototype.clone=function(){return new p(this.condition,this.trueExpr,this.falseExpr)},p.prototype._toString=function(e){var r=e&&e.parenthesis?e.parenthesis:"keep",o=t.getPrecedence(this,r),i=this.condition.toString(e),n=t.getPrecedence(this.condition,r);("all"===r||"OperatorNode"===this.condition.type||null!==n&&n<=o)&&(i="("+i+")");var s=this.trueExpr.toString(e),p=t.getPrecedence(this.trueExpr,r);("all"===r||"OperatorNode"===this.trueExpr.type||null!==p&&p<=o)&&(s="("+s+")");var a=this.falseExpr.toString(e),h=t.getPrecedence(this.falseExpr,r);return("all"===r||"OperatorNode"===this.falseExpr.type||null!==h&&h<=o)&&(a="("+a+")"),i+" ? "+s+" : "+a},p.prototype.toJSON=function(){return{mathjs:"ConditionalNode",condition:this.condition,trueExpr:this.trueExpr,falseExpr:this.falseExpr}},p.fromJSON=function(t){return new p(t.condition,t.trueExpr,t.falseExpr)},p.prototype.toHTML=function(e){var r=e&&e.parenthesis?e.parenthesis:"keep",o=t.getPrecedence(this,r),i=this.condition.toHTML(e),n=t.getPrecedence(this.condition,r);("all"===r||"OperatorNode"===this.condition.type||null!==n&&n<=o)&&(i='<span class="math-parenthesis math-round-parenthesis">(</span>'+i+'<span class="math-parenthesis math-round-parenthesis">)</span>');var s=this.trueExpr.toHTML(e),p=t.getPrecedence(this.trueExpr,r);("all"===r||"OperatorNode"===this.trueExpr.type||null!==p&&p<=o)&&(s='<span class="math-parenthesis math-round-parenthesis">(</span>'+s+'<span class="math-parenthesis math-round-parenthesis">)</span>');var a=this.falseExpr.toHTML(e),h=t.getPrecedence(this.falseExpr,r);return("all"===r||"OperatorNode"===this.falseExpr.type||null!==h&&h<=o)&&(a='<span class="math-parenthesis math-round-parenthesis">(</span>'+a+'<span class="math-parenthesis math-round-parenthesis">)</span>'),i+'<span class="math-operator math-conditional-operator">?</span>'+s+'<span class="math-operator math-conditional-operator">:</span>'+a},p.prototype._toTex=function(t){return"\\begin{cases} {"+this.trueExpr.toTex(t)+"}, &\\quad{\\text{if }\\;"+this.condition.toTex(t)+"}\\\\{"+this.falseExpr.toTex(t)+"}, &\\quad{\\text{otherwise}}\\end{cases}"},p}exports.name="ConditionalNode",exports.path="expression.node",exports.factory=e;
},{"../operators":"Huid","./Node":"dnbo","../../function/utils/typeof":"LZTG"}],"MNuy":[function(require,module,exports) {
"use strict";var t=require("../../utils/string").format,e=require("../../utils/latex").escape;function n(n,r,o,a){var s=o(require("./Node")),u=o(require("../../function/utils/typeof"));function i(t){if(!(this instanceof i))throw new SyntaxError("Constructor must be called with the new operator");if(2===arguments.length)throw new SyntaxError("new ConstantNode(valueStr, valueType) is not supported anymore since math v4.0.0. Use new ConstantNode(value) instead, where value is a non-stringified value.");this.value=t}return i.prototype=new s,i.prototype.type="ConstantNode",i.prototype.isConstantNode=!0,i.prototype._compile=function(t,e){var n=this.value;return function(){return n}},i.prototype.forEach=function(t){},i.prototype.map=function(t){return this.clone()},i.prototype.clone=function(){return new i(this.value)},i.prototype._toString=function(e){return t(this.value,e)},i.prototype.toHTML=function(t){var e=this._toString(t);switch(u(this.value)){case"number":case"BigNumber":case"Fraction":return'<span class="math-number">'+e+"</span>";case"string":return'<span class="math-string">'+e+"</span>";case"boolean":return'<span class="math-boolean">'+e+"</span>";case"null":return'<span class="math-null-symbol">'+e+"</span>";case"undefined":return'<span class="math-undefined">'+e+"</span>";default:return'<span class="math-symbol">'+e+"</span>"}},i.prototype.toJSON=function(){return{mathjs:"ConstantNode",value:this.value}},i.fromJSON=function(t){return new i(t.value)},i.prototype._toTex=function(t){var n=this._toString(t);switch(u(this.value)){case"string":return"\\mathtt{"+e(n)+"}";case"number":case"BigNumber":var r=n.toLowerCase().indexOf("e");return-1!==r?n.substring(0,r)+"\\cdot10^{"+n.substring(r+1)+"}":n;case"Fraction":return this.value.toLatex();default:return n}},i}exports.name="ConstantNode",exports.path="expression.node",exports.factory=n;
},{"../../utils/string":"PshC","../../utils/latex":"H1Mr","./Node":"dnbo","../../function/utils/typeof":"LZTG"}],"PrPs":[function(require,module,exports) {
"use strict";var e=require("../keywords"),t=require("../../utils/string").escape,r=require("../../utils/array").forEach,a=require("../../utils/array").join,s=require("../../utils/latex"),n=require("../operators"),i=require("../../utils/customs").setSafeProperty;function o(o,p,h,m){var u=h(require("./Node"));function c(t,r,a){if(!(this instanceof c))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof t)throw new TypeError('String expected for parameter "name"');if(!Array.isArray(r))throw new TypeError('Array containing strings or objects expected for parameter "params"');if(!o.isNode(a))throw new TypeError('Node expected for parameter "expr"');if(t in e)throw new Error('Illegal function name, "'+t+'" is a reserved keyword');this.name=t,this.params=r.map(function(e){return e&&e.name||e}),this.types=r.map(function(e){return e&&e.type||"any"}),this.expr=a}function f(e,t){var r=n.getPrecedence(e,t),a=n.getPrecedence(e.expr,t);return"all"===t||null!==a&&a<=r}return c.prototype=new u,c.prototype.type="FunctionAssignmentNode",c.prototype.isFunctionAssignmentNode=!0,c.prototype._compile=function(e,t){var s=Object.create(t);r(this.params,function(e){s[e]=!0});var n=this.expr._compile(e,s),o=this.name,p=this.params,h=a(this.types,","),u=o+"("+a(this.params,", ")+")";return function(e,t,r){var a={};a[h]=function(){for(var a=Object.create(t),s=0;s<p.length;s++)a[p[s]]=arguments[s];return n(e,a,r)};var s=m(o,a);return s.syntax=u,i(e,o,s),s}},c.prototype.forEach=function(e){e(this.expr,"expr",this)},c.prototype.map=function(e){var t=this._ifNode(e(this.expr,"expr",this));return new c(this.name,this.params.slice(0),t)},c.prototype.clone=function(){return new c(this.name,this.params.slice(0),this.expr)},c.prototype._toString=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.expr.toString(e);return f(this,t)&&(r="("+r+")"),this.name+"("+this.params.join(", ")+") = "+r},c.prototype.toJSON=function(){var e=this.types;return{mathjs:"FunctionAssignmentNode",name:this.name,params:this.params.map(function(t,r){return{name:t,type:e[r]}}),expr:this.expr}},c.fromJSON=function(e){return new c(e.name,e.params,e.expr)},c.prototype.toHTML=function(e){for(var r=e&&e.parenthesis?e.parenthesis:"keep",a=[],s=0;s<this.params.length;s++)a.push('<span class="math-symbol math-parameter">'+t(this.params[s])+"</span>");var n=this.expr.toHTML(e);return f(this,r)&&(n='<span class="math-parenthesis math-round-parenthesis">(</span>'+n+'<span class="math-parenthesis math-round-parenthesis">)</span>'),'<span class="math-function">'+t(this.name)+'</span><span class="math-parenthesis math-round-parenthesis">(</span>'+a.join('<span class="math-separator">,</span>')+'<span class="math-parenthesis math-round-parenthesis">)</span><span class="math-operator math-assignment-operator math-variable-assignment-operator math-binary-operator">=</span>'+n},c.prototype._toTex=function(e){var t=e&&e.parenthesis?e.parenthesis:"keep",r=this.expr.toTex(e);return f(this,t)&&(r="\\left(".concat(r,"\\right)")),"\\mathrm{"+this.name+"}\\left("+this.params.map(s.toSymbol).join(",")+"\\right):="+r},c}exports.name="FunctionAssignmentNode",exports.path="expression.node",exports.factory=o;
},{"../keywords":"psm5","../../utils/string":"PshC","../../utils/array":"j2lF","../../utils/latex":"H1Mr","../operators":"Huid","../../utils/customs":"PAPk","./Node":"dnbo"}],"SN5L":[function(require,module,exports) {
"use strict";var t=require("../../utils/array").map,e=require("../../utils/string").escape;function n(n,o,r,i){var s=r(require("./Node")),a=r(require("../../type/matrix/Range")),p=Array.isArray;function c(t,e){if(!(this instanceof c))throw new SyntaxError("Constructor must be called with the new operator");if(this.dimensions=t,this.dotNotation=e||!1,!p(t)||!t.every(n.isNode))throw new TypeError('Array containing Nodes expected for parameter "dimensions"');if(this.dotNotation&&!this.isObjectProperty())throw new Error("dotNotation only applicable for object properties");var o=function(){throw new Error("Property `IndexNode.object` is deprecated, use `IndexNode.fn` instead")};Object.defineProperty(this,"object",{get:o,set:o})}function u(t,e,o){return new a(n.isBigNumber(t)?t.toNumber():t,n.isBigNumber(e)?e.toNumber():e,n.isBigNumber(o)?o.toNumber():o)}return c.prototype=new s,c.prototype.type="IndexNode",c.prototype.isIndexNode=!0,c.prototype._compile=function(e,o){var r=t(this.dimensions,function(t,r){if(n.isRangeNode(t)){if(t.needsEnd()){var i=Object.create(o);i.end=!0;var s=t.start._compile(e,i),a=t.end._compile(e,i),p=t.step?t.step._compile(e,i):function(){return 1};return function(t,n,o){var i=e.size(o).valueOf(),c=Object.create(n);return c.end=i[r],u(s(t,c,o),a(t,c,o),p(t,c,o))}}var c=t.start._compile(e,o),d=t.end._compile(e,o),h=t.step?t.step._compile(e,o):function(){return 1};return function(t,e,n){return u(c(t,e,n),d(t,e,n),h(t,e,n))}}if(n.isSymbolNode(t)&&"end"===t.name){var m=Object.create(o);m.end=!0;var f=t._compile(e,m);return function(t,n,o){var i=e.size(o).valueOf(),s=Object.create(n);return s.end=i[r],f(t,s,o)}}var y=t._compile(e,o);return function(t,e,n){return y(t,e,n)}});return function(n,o,i){var s=t(r,function(t){return t(n,o,i)});return e.index.apply(e,s)}},c.prototype.forEach=function(t){for(var e=0;e<this.dimensions.length;e++)t(this.dimensions[e],"dimensions["+e+"]",this)},c.prototype.map=function(t){for(var e=[],n=0;n<this.dimensions.length;n++)e[n]=this._ifNode(t(this.dimensions[n],"dimensions["+n+"]",this));return new c(e)},c.prototype.clone=function(){return new c(this.dimensions.slice(0))},c.prototype.isObjectProperty=function(){return 1===this.dimensions.length&&n.isConstantNode(this.dimensions[0])&&"string"==typeof this.dimensions[0].value},c.prototype.getObjectProperty=function(){return this.isObjectProperty()?this.dimensions[0].value:null},c.prototype._toString=function(t){return this.dotNotation?"."+this.getObjectProperty():"["+this.dimensions.join(", ")+"]"},c.prototype.toJSON=function(){return{mathjs:"IndexNode",dimensions:this.dimensions,dotNotation:this.dotNotation}},c.fromJSON=function(t){return new c(t.dimensions,t.dotNotation)},c.prototype.toHTML=function(t){for(var n=[],o=0;o<this.dimensions.length;o++)n[o]=this.dimensions[o].toHTML();return this.dotNotation?'<span class="math-operator math-accessor-operator">.</span><span class="math-symbol math-property">'+e(this.getObjectProperty())+"</span>":'<span class="math-parenthesis math-square-parenthesis">[</span>'+n.join('<span class="math-separator">,</span>')+'<span class="math-parenthesis math-square-parenthesis">]</span>'},c.prototype._toTex=function(t){var e=this.dimensions.map(function(e){return e.toTex(t)});return this.dotNotation?"."+this.getObjectProperty():"_{"+e.join(",")+"}"},c}exports.name="IndexNode",exports.path="expression.node",exports.factory=n;
},{"../../utils/array":"j2lF","../../utils/string":"PshC","./Node":"dnbo","../../type/matrix/Range":"rRNx"}],"UI2T":[function(require,module,exports) {
"use strict";function r(t){return(r="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(r){return typeof r}:function(r){return r&&"function"==typeof Symbol&&r.constructor===Symbol&&r!==Symbol.prototype?"symbol":typeof r})(t)}function t(e){return(t="function"==typeof Symbol&&"symbol"===r(Symbol.iterator)?function(t){return r(t)}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":r(t)})(e)}var e=require("../../utils/string").stringify,o=require("../../utils/string").escape,p=require("../../utils/customs").isSafeProperty,s=require("../../utils/object").hasOwnProperty;function i(r,i,n,a){var h=n(require("./Node"));function u(e){if(!(this instanceof u))throw new SyntaxError("Constructor must be called with the new operator");if(this.properties=e||{},e&&("object"!==t(e)||!Object.keys(e).every(function(t){return r.isNode(e[t])})))throw new TypeError("Object containing Nodes expected")}return u.prototype=new h,u.prototype.type="ObjectNode",u.prototype.isObjectNode=!0,u.prototype._compile=function(r,t){var o={};for(var i in this.properties)if(s(this.properties,i)){var n=e(i),a=JSON.parse(n);if(!p(this.properties,a))throw new Error('No access to property "'+a+'"');o[a]=this.properties[i]._compile(r,t)}return function(r,t,e){var p={};for(var i in o)s(o,i)&&(p[i]=o[i](r,t,e));return p}},u.prototype.forEach=function(r){for(var t in this.properties)this.properties.hasOwnProperty(t)&&r(this.properties[t],"properties["+e(t)+"]",this)},u.prototype.map=function(r){var t={};for(var o in this.properties)this.properties.hasOwnProperty(o)&&(t[o]=this._ifNode(r(this.properties[o],"properties["+e(o)+"]",this)));return new u(t)},u.prototype.clone=function(){var r={};for(var t in this.properties)this.properties.hasOwnProperty(t)&&(r[t]=this.properties[t]);return new u(r)},u.prototype._toString=function(r){var t=[];for(var o in this.properties)this.properties.hasOwnProperty(o)&&t.push(e(o)+": "+this.properties[o].toString(r));return"{"+t.join(", ")+"}"},u.prototype.toJSON=function(){return{mathjs:"ObjectNode",properties:this.properties}},u.fromJSON=function(r){return new u(r.properties)},u.prototype.toHTML=function(r){var t=[];for(var e in this.properties)this.properties.hasOwnProperty(e)&&t.push('<span class="math-symbol math-property">'+o(e)+'</span><span class="math-operator math-assignment-operator math-property-assignment-operator math-binary-operator">:</span>'+this.properties[e].toHTML(r));return'<span class="math-parenthesis math-curly-parenthesis">{</span>'+t.join('<span class="math-separator">,</span>')+'<span class="math-parenthesis math-curly-parenthesis">}</span>'},u.prototype._toTex=function(r){var t=[];for(var e in this.properties)this.properties.hasOwnProperty(e)&&t.push("\\mathbf{"+e+":} & "+this.properties[e].toTex(r)+"\\\\");return"\\left\\{\\begin{array}{ll}".concat(t.join("\n"),"\\end{array}\\right\\}")},u}exports.name="ObjectNode",exports.path="expression.node",exports.factory=i;
},{"../../utils/string":"PshC","../../utils/customs":"PAPk","../../utils/object":"FcSp","./Node":"dnbo"}],"F3sc":[function(require,module,exports) {
"use strict";var t=require("../../utils/latex"),e=require("../../utils/array").map,r=require("../../utils/string").escape,i=require("../../utils/customs").isSafeMethod,n=require("../../utils/customs").getSafeProperty,a=require("../operators");function s(s,o,p,h){var c=p(require("./Node"));function l(t,e,r,i){if(!(this instanceof l))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof t)throw new TypeError('string expected for parameter "op"');if("string"!=typeof e)throw new TypeError('string expected for parameter "fn"');if(!Array.isArray(r)||!r.every(s.isNode))throw new TypeError('Array containing Nodes expected for parameter "args"');this.implicit=!0===i,this.op=t,this.fn=e,this.args=r||[]}function f(t,e,r,i,n){var s,o=a.getPrecedence(t,e),p=a.getAssociativity(t,e);if("all"===e||i.length>2&&"OperatorNode:add"!==t.getIdentifier()&&"OperatorNode:multiply"!==t.getIdentifier())return i.map(function(t){switch(t.getContent().type){case"ArrayNode":case"ConstantNode":case"SymbolNode":case"ParenthesisNode":return!1;default:return!0}});switch(i.length){case 0:s=[];break;case 1:var h=a.getPrecedence(i[0],e);if(n&&null!==h){var c,l;if("keep"===e?(c=i[0].getIdentifier(),l=t.getIdentifier()):(c=i[0].getContent().getIdentifier(),l=t.getContent().getIdentifier()),!1===a.properties[o][l].latexLeftParens){s=[!1];break}if(!1===a.properties[h][c].latexParens){s=[!1];break}}if(null===h){s=[!1];break}if(h<=o){s=[!0];break}s=[!1];break;case 2:var f,u,d=a.getPrecedence(i[0],e),g=a.isAssociativeWith(t,i[0],e);f=null!==d&&(d===o&&"right"===p&&!g||d<o);var m,y,v,N=a.getPrecedence(i[1],e),I=a.isAssociativeWith(t,i[1],e);if(u=null!==N&&(N===o&&"left"===p&&!I||N<o),n)"keep"===e?(m=t.getIdentifier(),y=t.args[0].getIdentifier(),v=t.args[1].getIdentifier()):(m=t.getContent().getIdentifier(),y=t.args[0].getContent().getIdentifier(),v=t.args[1].getContent().getIdentifier()),null!==d&&(!1===a.properties[o][m].latexLeftParens&&(f=!1),!1===a.properties[d][y].latexParens&&(f=!1)),null!==N&&(!1===a.properties[o][m].latexRightParens&&(u=!1),!1===a.properties[N][v].latexParens&&(u=!1));s=[f,u];break;default:"OperatorNode:add"!==t.getIdentifier()&&"OperatorNode:multiply"!==t.getIdentifier()||(s=i.map(function(r){var i=a.getPrecedence(r,e),n=a.isAssociativeWith(t,r,e),s=a.getAssociativity(r,e);return null!==i&&(o===i&&p===s&&!n||i<o)}))}return i.length>=2&&"OperatorNode:multiply"===t.getIdentifier()&&t.implicit&&"auto"===e&&"hide"===r&&(s=i.map(function(t,e){var r="ParenthesisNode"===t.getIdentifier();return!(!s[e]&&!r)})),s}return l.prototype=new c,l.prototype.type="OperatorNode",l.prototype.isOperatorNode=!0,l.prototype._compile=function(t,r){if("string"!=typeof this.fn||!i(t,this.fn))throw t[this.fn]?new Error('No access to function "'+this.fn+'"'):new Error("Function "+this.fn+' missing in provided namespace "math"');var a=n(t,this.fn),s=e(this.args,function(e){return e._compile(t,r)});if(1===s.length){var o=s[0];return function(t,e,r){return a(o(t,e,r))}}if(2===s.length){var p=s[0],h=s[1];return function(t,e,r){return a(p(t,e,r),h(t,e,r))}}return function(t,r,i){return a.apply(null,e(s,function(e){return e(t,r,i)}))}},l.prototype.forEach=function(t){for(var e=0;e<this.args.length;e++)t(this.args[e],"args["+e+"]",this)},l.prototype.map=function(t){for(var e=[],r=0;r<this.args.length;r++)e[r]=this._ifNode(t(this.args[r],"args["+r+"]",this));return new l(this.op,this.fn,e,this.implicit)},l.prototype.clone=function(){return new l(this.op,this.fn,this.args.slice(0),this.implicit)},l.prototype.isUnary=function(){return 1===this.args.length},l.prototype.isBinary=function(){return 2===this.args.length},l.prototype._toString=function(t){var e=t&&t.parenthesis?t.parenthesis:"keep",r=t&&t.implicit?t.implicit:"hide",i=this.args,n=f(this,e,r,i,!1);if(1===i.length){var s=a.getAssociativity(this,e),o=i[0].toString(t);n[0]&&(o="("+o+")");var p=/[a-zA-Z]+/.test(this.op);return"right"===s?this.op+(p?" ":"")+o:"left"===s?o+(p?" ":"")+this.op:o+this.op}if(2===i.length){var h=i[0].toString(t),c=i[1].toString(t);return n[0]&&(h="("+h+")"
},{"../../utils/latex":"H1Mr","../../utils/array":"j2lF","../../utils/string":"PshC","../../utils/customs":"PAPk","../operators":"Huid","./Node":"dnbo"}],"Mj7c":[function(require,module,exports) {
"use strict";function t(t,e,n,o){var r=n(require("./Node"));function s(e){if(!(this instanceof s))throw new SyntaxError("Constructor must be called with the new operator");if(!t.isNode(e))throw new TypeError('Node expected for parameter "content"');this.content=e}return s.prototype=new r,s.prototype.type="ParenthesisNode",s.prototype.isParenthesisNode=!0,s.prototype._compile=function(t,e){return this.content._compile(t,e)},s.prototype.getContent=function(){return this.content.getContent()},s.prototype.forEach=function(t){t(this.content,"content",this)},s.prototype.map=function(t){return new s(t(this.content,"content",this))},s.prototype.clone=function(){return new s(this.content)},s.prototype._toString=function(t){return!t||t&&!t.parenthesis||t&&"keep"===t.parenthesis?"("+this.content.toString(t)+")":this.content.toString(t)},s.prototype.toJSON=function(){return{mathjs:"ParenthesisNode",content:this.content}},s.fromJSON=function(t){return new s(t.content)},s.prototype.toHTML=function(t){return!t||t&&!t.parenthesis||t&&"keep"===t.parenthesis?'<span class="math-parenthesis math-round-parenthesis">(</span>'+this.content.toHTML(t)+'<span class="math-parenthesis math-round-parenthesis">)</span>':this.content.toHTML(t)},s.prototype._toTex=function(t){return!t||t&&!t.parenthesis||t&&"keep"===t.parenthesis?"\\left(".concat(this.content.toTex(t),"\\right)"):this.content.toTex(t)},s}exports.name="ParenthesisNode",exports.path="expression.node",exports.factory=t;
},{"./Node":"dnbo"}],"RtSa":[function(require,module,exports) {
"use strict";var t=require("../../utils/latex"),n=require("../../utils/string").escape,e=require("../../utils/object").hasOwnProperty,o=require("../../utils/customs").getSafeProperty;function r(r,s,a,i,m){var p=a(require("./Node"));function u(t){return!!r.Unit&&r.Unit.isValuelessUnit(t)}function l(t){if(!(this instanceof l))throw new SyntaxError("Constructor must be called with the new operator");if("string"!=typeof t)throw new TypeError('String expected for parameter "name"');this.name=t}return l.prototype=new p,l.prototype.type="SymbolNode",l.prototype.isSymbolNode=!0,l.prototype._compile=function(t,n){var s=this.name;if(e(n,s))return function(t,n,e){return n[s]};if(s in t)return function(n,e,r){return o(s in n?n:t,s)};var a=u(s);return function(t,n,e){return s in t?o(t,s):a?new r.Unit(null,s):function(t){throw new Error("Undefined symbol "+t)}(s)}},l.prototype.forEach=function(t){},l.prototype.map=function(t){return this.clone()},l.prototype.clone=function(){return new l(this.name)},l.prototype._toString=function(t){return this.name},l.prototype.toHTML=function(t){var e=n(this.name);return"true"===e||"false"===e?'<span class="math-symbol math-boolean">'+e+"</span>":"i"===e?'<span class="math-symbol math-imaginary-symbol">'+e+"</span>":"Infinity"===e?'<span class="math-symbol math-infinity-symbol">'+e+"</span>":"NaN"===e?'<span class="math-symbol math-nan-symbol">'+e+"</span>":"null"===e?'<span class="math-symbol math-null-symbol">'+e+"</span>":"undefined"===e?'<span class="math-symbol math-undefined-symbol">'+e+"</span>":'<span class="math-symbol">'+e+"</span>"},l.prototype.toJSON=function(){return{mathjs:"SymbolNode",name:this.name}},l.fromJSON=function(t){return new l(t.name)},l.prototype._toTex=function(n){var e=!1;void 0===m[this.name]&&u(this.name)&&(e=!0);var o=t.toSymbol(this.name,e);return"\\"===o[0]?o:" "+o},l}exports.name="SymbolNode",exports.path="expression.node",exports.math=!0,exports.factory=r;
},{"../../utils/latex":"H1Mr","../../utils/string":"PshC","../../utils/object":"FcSp","../../utils/customs":"PAPk","./Node":"dnbo"}],"ZLEq":[function(require,module,exports) {
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},{"../operators":"Huid","./Node":"dnbo"}],"E94o":[function(require,module,exports) {
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"use strict";function r(r,t,n,e,a){var o=a.expression.node.FunctionNode,s=a.expression.node.OperatorNode,i=a.expression.node.SymbolNode,g={add:!0,multiply:!0},f={add:!0,multiply:!0};function u(t,n){if(!r.isOperatorNode(t))return!1;var e=t.fn.toString();return n&&n.hasOwnProperty(e)&&n[e].hasOwnProperty("associative")?n[e].associative:f[e]||!1}function c(t){var n,e=[];return u(t)?(n=t.op,function t(a){for(var o=0;o<a.args.length;o++){var s=a.args[o];r.isOperatorNode(s)&&n===s.op?t(s):e.push(s)}}(t),e):t.args}function p(t){return r.isOperatorNode(t)?function(r){try{return new s(t.op,t.fn,r,t.implicit)}catch(n){return console.error(n),[]}}:function(r){return new o(new i(t.name),r)}}return{createMakeNodeFunction:p,isCommutative:function(t,n){if(!r.isOperatorNode(t))return!0;var e=t.fn.toString();return n&&n.hasOwnProperty(e)&&n[e].hasOwnProperty("commutative")?n[e].commutative:g[e]||!1},isAssociative:u,flatten:function r(t){if(!t.args||0===t.args.length)return t;t.args=c(t);for(var n=0;n<t.args.length;n++)r(t.args[n])},allChildren:c,unflattenr:function r(t){if(t.args&&0!==t.args.length){for(var n=p(t),e=t.args.length,a=0;a<e;a++)r(t.args[a]);if(e>2&&u(t)){for(var o=t.args.pop();t.args.length>0;)o=n([t.args.pop(),o]);t.args=o.args}}},unflattenl:function r(t){if(t.args&&0!==t.args.length){for(var n=p(t),e=t.args.length,a=0;a<e;a++)r(t.args[a]);if(e>2&&u(t)){for(var o=t.args.shift();t.args.length>0;)o=n([o,t.args.shift()]);t.args=o.args}}}}}exports.factory=r,exports.math=!0;
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"use strict";function e(e,n,r,t,o){var i=r(require("./util")),a=i.isCommutative,u=i.isAssociative,s=i.allChildren,c=i.createMakeNodeFunction,d=o.expression.node.ConstantNode,f=o.expression.node.OperatorNode,m=o.expression.node.FunctionNode;function l(n,r,t){try{return b(o[n].apply(null,r),t)}catch(i){return r=r.map(function(n){return e.isFraction(n)?n.valueOf():n}),b(o[n].apply(null,r),t)}}var p=t({Fraction:function(e){var n,r=e.s*e.n;n=r<0?new f("-","unaryMinus",[new d(-r)]):new d(r);if(1===e.d)return n;return new f("/","divide",[n,new d(e.d)])},number:function(e){return e<0?y(new d(-e)):new d(e)},BigNumber:function(e){return e<0?y(new d(-e)):new d(e)},Complex:function(e){throw new Error("Cannot convert Complex number to Node")}});function N(e,n){if(n&&!1!==n.exactFractions&&isFinite(e)){var r=o.fraction(e);if(r.valueOf()===e)return r}return e}var b=t({"string, Object":function(e,r){return"BigNumber"===n.number?o.bignumber(e):"Fraction"===n.number?o.fraction(e):N(parseFloat(e),r)},"Fraction, Object":function(e,n){return e},"BigNumber, Object":function(e,n){return e},"number, Object":function(e,n){return N(e,n)},"Complex, Object":function(e,n){return 0!==e.im?e:N(e.re,n)}});function y(e){return new f("-","unaryMinus",[e])}function v(n,r,t,o){return r.reduce(function(r,i){if(e.isNode(r)||e.isNode(i))e.isNode(r)?e.isNode(i)||(i=p(i)):r=p(r);else{try{return l(n,[r,i],o)}catch(a){}r=p(r),i=p(i)}return t([r,i])})}return function(n,r){var t=function n(r,t){switch(r.type){case"SymbolNode":return r;case"ConstantNode":return"number"!=typeof r.value&&isNaN(r.value)?r:b(r.value,t);case"FunctionNode":if(o[r.name]&&o[r.name].rawArgs)return r;if(-1===["add","multiply"].indexOf(r.name)){var i=r.args.map(function(e){return n(e,t)});if(!i.some(e.isNode))try{return l(r.name,i,t)}catch(x){}return i=i.map(function(n){return e.isNode(n)?n:p(n)}),new m(r.name,i)}case"OperatorNode":var d,f,N=r.fn.toString(),y=c(r);if(r.isUnary())d=[n(r.args[0],t)],f=e.isNode(d[0])?y(d):l(N,d,t);else if(u(r))if(d=(d=s(r)).map(function(e){return n(e,t)}),a(N)){for(var w=[],g=[],h=0;h<d.length;h++)e.isNode(d[h])?g.push(d[h]):w.push(d[h]);w.length>1?(f=v(N,w,y,t),g.unshift(f),f=v(N,g,y,t)):f=v(N,d,y,t)}else f=v(N,d,y,t);else d=r.args.map(function(e){return n(e,t)}),f=v(N,d,y,t);return f;case"ParenthesisNode":return n(r.content,t);case"AccessorNode":case"ArrayNode":case"AssignmentNode":case"BlockNode":case"FunctionAssignmentNode":case"IndexNode":case"ObjectNode":case"RangeNode":case"UpdateNode":case"ConditionalNode":default:throw new Error("Unimplemented node type in simplifyConstant: ".concat(r.type))}}(n,r);return e.isNode(t)?t:p(t)}}exports.math=!0,exports.name="simplifyConstant",exports.path="algebra.simplify",exports.factory=e;
},{"./util":"eDsC"}],"geyZ":[function(require,module,exports) {
"use strict";var r=require("../../utils/collection/deepMap");function n(n,e,t,u){var i=u("isZero",{number:function(r){return 0===r},BigNumber:function(r){return r.isZero()},Complex:function(r){return 0===r.re&&0===r.im},Fraction:function(r){return 1===r.d&&0===r.n},Unit:function(r){return i(r.value)},"Array | Matrix":function(n){return r(n,i)}});return i}exports.name="isZero",exports.factory=n;
},{"../../utils/collection/deepMap":"lOYo"}],"IRmO":[function(require,module,exports) {
"use strict";var r=require("../../../utils/index"),t=r.object;function e(r,e,i,a){var n=i(require("../../../type/matrix/function/matrix")),u=i(require("../../arithmetic/abs")),o=i(require("../../arithmetic/addScalar")),s=i(require("../../arithmetic/divideScalar")),c=i(require("../../arithmetic/multiplyScalar")),f=i(require("../../arithmetic/subtract")),h=i(require("../../relational/larger")),p=i(require("../../relational/equalScalar")),l=i(require("../../arithmetic/unaryMinus")),v=r.SparseMatrix,m=r.DenseMatrix,g=r.Spa;function w(r){var e,i,a,n=r._size[0],l=r._size[1],v=Math.min(n,l),g=t.clone(r._data),w=[],S=[n,v],x=[],_=[v,l],d=[];for(e=0;e<n;e++)d[e]=e;for(i=0;i<l;i++){if(i>0)for(e=0;e<n;e++){var q=Math.min(e,i),z=0;for(a=0;a<q;a++)z=o(z,c(g[e][a],g[a][i]));g[e][i]=f(g[e][i],z)}var L=i,M=0,U=0;for(e=i;e<n;e++){var y=g[e][i],E=u(y);h(E,M)&&(L=e,M=E,U=y)}if(i!==L&&(d[i]=[d[L],d[L]=d[i]][0],m._swapRows(i,L,g)),i<n)for(e=i+1;e<n;e++){var R=g[e][i];p(R,0)||(g[e][i]=s(g[e][i],U))}}for(i=0;i<l;i++)for(e=0;e<n;e++)0===i&&(e<l&&(x[e]=[]),w[e]=[]),e<i?(e<l&&(x[e][i]=g[e][i]),i<n&&(w[e][i]=0)):e!==i?(e<l&&(x[e][i]=0),i<n&&(w[e][i]=g[e][i])):(e<l&&(x[e][i]=g[e][i]),i<n&&(w[e][i]=1));var b=new m({data:w,size:S}),D=new m({data:x,size:_}),O=[];for(e=0,v=d.length;e<v;e++)O[d[e]]=e;return{L:b,U:D,p:O,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}}function S(r){var t,e,i,a=r._size[0],n=r._size[1],o=Math.min(a,n),f=r._values,m=r._index,w=r._ptr,S=[],x=[],_=[],d=[a,o],q=[],z=[],L=[],M=[o,n],U=[],y=[];for(t=0;t<a;t++)U[t]=t,y[t]=t;var E=function(){var r=new g;e<a&&(_.push(S.length),S.push(1),x.push(e)),L.push(q.length);var n=w[e],o=w[e+1];for(i=n;i<o;i++)t=m[i],r.set(U[t],f[i]);e>0&&r.forEach(0,e-1,function(t,e){v._forEachRow(t,S,x,_,function(i,a){i>t&&r.accumulate(i,l(c(a,e)))})});var E,R,b,D,O=e,P=r.get(e),j=u(P);r.forEach(e+1,a-1,function(r,t){var e=u(t);h(e,j)&&(O=r,j=e,P=t)}),e!==O&&(v._swapRows(e,O,d[1],S,x,_),v._swapRows(e,O,M[1],q,z,L),r.swap(e,O),R=O,b=y[E=e],D=y[R],U[b]=R,U[D]=E,y[E]=D,y[R]=b),r.forEach(0,a-1,function(r,t){r<=e?(q.push(t),z.push(r)):(t=s(t,P),p(t,0)||(S.push(t),x.push(r)))})};for(e=0;e<n;e++)E();return L.push(q.length),_.push(S.length),{L:new v({values:S,index:x,ptr:_,size:d}),U:new v({values:q,index:z,ptr:L,size:M}),p:U,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\nP: "+this.p}}}return a("lup",{DenseMatrix:function(r){return w(r)},SparseMatrix:function(r){return S(r)},Array:function(r){var t=w(n(r));return{L:t.L.valueOf(),U:t.U.valueOf(),p:t.p}}})}exports.name="lup",exports.factory=e;
},{"../../../utils/index":"fsXI","../../../type/matrix/function/matrix":"vzj5","../../arithmetic/abs":"K5X1","../../arithmetic/addScalar":"ZM3O","../../arithmetic/divideScalar":"R3aq","../../arithmetic/multiplyScalar":"obRw","../../arithmetic/subtract":"m78R","../../relational/larger":"SrDl","../../relational/equalScalar":"QvIw","../../arithmetic/unaryMinus":"q5A1"}],"KApf":[function(require,module,exports) {
"use strict";var r=require("../../utils/index"),e=r.object,t=r.string;function i(r,i,a,n){var u=a(require("../../type/matrix/function/matrix")),o=a(require("../arithmetic/subtract")),s=a(require("../arithmetic/multiply")),c=a(require("../arithmetic/unaryMinus")),f=a(require("../algebra/decomposition/lup")),l=n("det",{any:function(r){return e.clone(r)},"Array | Matrix":function(i){var a;switch((a=r.isMatrix(i)?i.size():Array.isArray(i)?(i=u(i)).size():[]).length){case 0:return e.clone(i);case 1:if(1===a[0])return e.clone(i.valueOf()[0]);throw new RangeError("Matrix must be square (size: "+t.format(a)+")");case 2:var n=a[0],l=a[1];if(n===l)return function(r,t,i){if(1===t)return e.clone(r[0][0]);if(2===t)return o(s(r[0][0],r[1][1]),s(r[1][0],r[0][1]));for(var a=f(r),n=a.U[0][0],u=1;u<t;u++)n=s(n,a.U[u][u]);for(var l=0,m=0,x=[];;){for(;x[m];)m++;if(m>=t)break;for(var h=m,p=0;!x[a.p[h]];)x[a.p[h]]=!0,h=a.p[h],p++;p%2==0&&l++}return l%2==0?n:c(n)}(i.clone().valueOf(),n);throw new RangeError("Matrix must be square (size: "+t.format(a)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+t.format(a)+")")}}});return l.toTex={1:"\\det\\left(${args[0]}\\right)"},l}exports.name="det",exports.factory=i;
},{"../../utils/index":"fsXI","../../type/matrix/function/matrix":"vzj5","../arithmetic/subtract":"m78R","../arithmetic/multiply":"k7By","../arithmetic/unaryMinus":"q5A1","../algebra/decomposition/lup":"IRmO"}],"yHuZ":[function(require,module,exports) {
"use strict";var r=require("../../utils/index");function e(e,t,i,a){var n=i(require("../../type/matrix/function/matrix")),o=i(require("../arithmetic/divideScalar")),u=i(require("../arithmetic/addScalar")),s=i(require("../arithmetic/multiply")),f=i(require("../arithmetic/unaryMinus")),c=i(require("../matrix/det")),m=i(require("./identity")),v=i(require("../arithmetic/abs")),l=a("inv",{"Array | Matrix":function(t){var i=e.isMatrix(t)?t.size():r.array.size(t);switch(i.length){case 1:if(1===i[0])return e.isMatrix(t)?n([o(1,t.valueOf()[0])]):[o(1,t[0])];throw new RangeError("Matrix must be square (size: "+r.string.format(i)+")");case 2:var a=i[0],u=i[1];if(a===u)return e.isMatrix(t)?n(h(t.valueOf(),a,u),t.storage()):h(t,a,u);throw new RangeError("Matrix must be square (size: "+r.string.format(i)+")");default:throw new RangeError("Matrix must be two dimensional (size: "+r.string.format(i)+")")}},any:function(r){return o(1,r)}});function h(r,e,t){var i,a,n,l,h;if(1===e){if(0===(l=r[0][0]))throw Error("Cannot calculate inverse, determinant is zero");return[[o(1,l)]]}if(2===e){var x=c(r);if(0===x)throw Error("Cannot calculate inverse, determinant is zero");return[[o(r[1][1],x),o(f(r[0][1]),x)],[o(f(r[1][0]),x),o(r[0][0],x)]]}var d=r.concat();for(i=0;i<e;i++)d[i]=d[i].concat();for(var q=m(e).valueOf(),w=0;w<t;w++){var g=v(d[w][w]),y=w;for(i=w+1;i<e;)v(d[i][w])>g&&(g=v(d[i][w]),y=i),i++;if(0===g)throw Error("Cannot calculate inverse, determinant is zero");(i=y)!==w&&(h=d[w],d[w]=d[i],d[i]=h,h=q[w],q[w]=q[i],q[i]=h);var z=d[w],M=q[w];for(i=0;i<e;i++){var E=d[i],b=q[i];if(i!==w){if(0!==E[w]){for(n=o(f(E[w]),z[w]),a=w;a<t;a++)E[a]=u(E[a],s(n,z[a]));for(a=0;a<t;a++)b[a]=u(b[a],s(n,M[a]))}}else{for(n=z[w],a=w;a<t;a++)E[a]=o(E[a],n);for(a=0;a<t;a++)b[a]=o(b[a],n)}}}return q}return l.toTex={1:"\\left(${args[0]}\\right)^{-1}"},l}exports.name="inv",exports.factory=e;
},{"../../utils/index":"fsXI","../../type/matrix/function/matrix":"vzj5","../arithmetic/divideScalar":"R3aq","../arithmetic/addScalar":"ZM3O","../arithmetic/multiply":"k7By","../arithmetic/unaryMinus":"q5A1","../matrix/det":"KApf","./identity":"zJUT","../arithmetic/abs":"K5X1"}],"lVgQ":[function(require,module,exports) {
"use strict";var r=require("../../utils/object").extend;function t(t,e,i,a){var n=i(require("./divideScalar")),u=i(require("./multiply")),o=i(require("../matrix/inv")),x=i(require("../../type/matrix/function/matrix")),s=i(require("../../type/matrix/utils/algorithm11")),y=i(require("../../type/matrix/utils/algorithm14")),c=a("divide",r({"Array | Matrix, Array | Matrix":function(r,t){return u(r,o(t))},"DenseMatrix, any":function(r,t){return y(r,t,n,!1)},"SparseMatrix, any":function(r,t){return s(r,t,n,!1)},"Array, any":function(r,t){return y(x(r),t,n,!1).valueOf()},"any, Array | Matrix":function(r,t){return u(r,o(t))}},n.signatures));return c.toTex={2:"\\frac{${args[0]}}{${args[1]}}"},c}exports.name="divide",exports.factory=t;
},{"../../utils/object":"FcSp","./divideScalar":"R3aq","./multiply":"k7By","../matrix/inv":"yHuZ","../../type/matrix/function/matrix":"vzj5","../../type/matrix/utils/algorithm11":"dpKK","../../type/matrix/utils/algorithm14":"S2eB"}],"c7UI":[function(require,module,exports) {
"use strict";function e(e,r,n,i,t){var a=n(require("../../relational/equal")),o=n(require("../../utils/isZero")),s=n(require("../../arithmetic/add")),u=n(require("../../arithmetic/subtract")),f=n(require("../../arithmetic/multiply")),p=n(require("../../arithmetic/divide")),l=n(require("../../arithmetic/pow")),d=t.expression.node.ConstantNode,v=t.expression.node.OperatorNode,N=t.expression.node.FunctionNode,w=t.expression.node.ParenthesisNode,c=new d(0),C=new d(1);return function r(n){if(e.isOperatorNode(n)&&n.isUnary()){var i=r(n.args[0]);if("+"===n.op)return i;if("-"===n.op){if(e.isOperatorNode(i)){if(i.isUnary()&&"-"===i.op)return i.args[0];if(i.isBinary()&&"subtract"===i.fn)return new v("-","subtract",[i.args[1],i.args[0]])}return new v(n.op,n.fn,[i])}}else if(e.isOperatorNode(n)&&n.isBinary()){var t=r(n.args[0]),m=r(n.args[1]);if("+"===n.op){if(e.isConstantNode(t)){if(o(t.value))return m;if(e.isConstantNode(m))return new d(s(t.value,m.value))}return e.isConstantNode(m)&&o(m.value)?t:e.isOperatorNode(m)&&m.isUnary()&&"-"===m.op?new v("-","subtract",[t,m.args[0]]):new v(n.op,n.fn,m?[t,m]:[t])}if("-"===n.op){if(e.isConstantNode(t)&&m){if(e.isConstantNode(m))return new d(u(t.value,m.value));if(o(t.value))return new v("-","unaryMinus",[m])}if("subtract"===n.fn)return e.isConstantNode(m)&&o(m.value)?t:e.isOperatorNode(m)&&m.isUnary()&&"-"===m.op?r(new v("+","add",[t,m.args[0]])):new v(n.op,n.fn,[t,m])}else{if("*"===n.op){if(e.isConstantNode(t)){if(o(t.value))return c;if(a(t.value,1))return m;if(e.isConstantNode(m))return new d(f(t.value,m.value))}if(e.isConstantNode(m)){if(o(m.value))return c;if(a(m.value,1))return t;if(e.isOperatorNode(t)&&t.isBinary()&&t.op===n.op){var g=t.args[0];if(e.isConstantNode(g)){var y=new d(f(g.value,m.value));return new v(n.op,n.fn,[y,t.args[1]],n.implicit)}}return new v(n.op,n.fn,[m,t],n.implicit)}return new v(n.op,n.fn,[t,m],n.implicit)}if("/"===n.op){if(e.isConstantNode(t)){if(o(t.value))return c;if(e.isConstantNode(m)&&(a(m.value,1)||a(m.value,2)||a(m.value,4)))return new d(p(t.value,m.value))}return new v(n.op,n.fn,[t,m])}if("^"===n.op){if(e.isConstantNode(m)){if(o(m.value))return C;if(a(m.value,1))return t;if(e.isConstantNode(t))return new d(l(t.value,m.value));if(e.isOperatorNode(t)&&t.isBinary()&&"^"===t.op){var h=t.args[1];if(e.isConstantNode(h))return new v(n.op,n.fn,[t.args[0],new d(f(h.value,m.value))])}}return new v(n.op,n.fn,[t,m])}}}else{if(e.isParenthesisNode(n)){var q=r(n.content);return e.isParenthesisNode(q)||e.isSymbolNode(q)||e.isConstantNode(q)?q:new w(q)}if(e.isFunctionNode(n)){var x=n.args.map(r).map(function(r){return e.isParenthesisNode(r)?r.content:r});return new N(r(n.fn),x)}}return n}}exports.math=!0,exports.name="simplifyCore",exports.path="algebra.simplify",exports.factory=e;
},{"../../relational/equal":"IviB","../../utils/isZero":"geyZ","../../arithmetic/add":"zf2Z","../../arithmetic/subtract":"m78R","../../arithmetic/multiply":"k7By","../../arithmetic/divide":"lVgQ","../../arithmetic/pow":"CsUv"}],"hHj3":[function(require,module,exports) {
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"use strict";function r(r,e,t,i){var a=t(require("../../../type/matrix/function/matrix")),n=t(require("../../matrix/zeros")),o=t(require("../../matrix/identity")),u=t(require("../../utils/isZero")),c=t(require("../../relational/unequal")),f=t(require("../../arithmetic/sign")),s=t(require("../../arithmetic/sqrt")),m=t(require("../../complex/conj")),q=t(require("../../arithmetic/unaryMinus")),l=t(require("../../arithmetic/addScalar")),h=t(require("../../arithmetic/divideScalar")),v=t(require("../../arithmetic/multiplyScalar")),d=t(require("../../arithmetic/subtract"));function x(r){var e,t,i,a=r._size[0],x=r._size[1],p=o([a],"dense"),y=p._data,S=r.clone(),w=S._data,R=n([a],"");for(i=0;i<Math.min(x,a);++i){var g=w[i][i],Q=q(f(g)),M=m(Q),_=0;for(e=i;e<a;e++)_=l(_,v(w[e][i],m(w[e][i])));var z=v(Q,s(_));if(!u(z)){var E=d(g,z);for(R[i]=1,e=i+1;e<a;e++)R[e]=h(w[e][i],E);var O=q(m(h(E,z))),b=void 0;for(t=i;t<x;t++){for(b=0,e=i;e<a;e++)b=l(b,v(m(R[e]),w[e][t]));for(b=v(b,O),e=i;e<a;e++)w[e][t]=v(d(w[e][t],v(R[e],b)),M)}for(e=0;e<a;e++){for(b=0,t=i;t<a;t++)b=l(b,v(y[e][t],R[t]));for(b=v(b,O),t=i;t<a;++t)y[e][t]=h(d(y[e][t],v(b,m(R[t]))),M)}}}for(e=0;e<a;++e)for(t=0;t<e&&t<x;++t){if(c(0,h(w[e][t],1e5)))throw new Error("math.qr(): unknown error - R is not lower triangular (element ("+e+", "+t+")  = "+w[e][t]+")");w[e][t]=v(w[e][t],0)}return{Q:p,R:S,toString:function(){return"Q: "+this.Q.toString()+"\nR: "+this.R.toString()}}}return i("qr",{DenseMatrix:function(r){return x(r)},SparseMatrix:function(r){return function(r){throw new Error("qr not implemented for sparse matrices yet")}()},Array:function(r){var e=x(a(r));return{Q:e.Q.valueOf(),R:e.R.valueOf()}}})}exports.name="qr",exports.factory=r;
},{"../../../type/matrix/function/matrix":"vzj5","../../matrix/zeros":"BAjv","../../matrix/identity":"zJUT","../../utils/isZero":"geyZ","../../relational/unequal":"npE3","../../arithmetic/sign":"Zr7Q","../../arithmetic/sqrt":"T6pB","../../complex/conj":"msvi","../../arithmetic/unaryMinus":"q5A1","../../arithmetic/addScalar":"ZM3O","../../arithmetic/divideScalar":"R3aq","../../arithmetic/multiplyScalar":"obRw","../../arithmetic/subtract":"m78R"}],"da3s":[function(require,module,exports) {
"use strict";function r(){return function(r){return-r-2}}exports.name="csFlip",exports.path="algebra.sparse",exports.factory=r;
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"use strict";function e(){return function(e,r,t){for(var s=e._values,n=e._index,a=e._ptr,p=e._size[1],o=0,c=0;c<p;c++){var i=a[c];for(a[c]=o;i<a[c+1];i++)r(n[i],c,s?s[i]:1,t)&&(n[o]=n[i],s&&(s[o]=s[i]),o++)}return a[p]=o,n.splice(o,n.length-o),s&&s.splice(o,s.length-o),o}}exports.name="csFkeep",exports.path="algebra.sparse",exports.factory=e;
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"use strict";function r(){return function(r,t,e,s,a,n,o){var c=0;for(e[o]=r;c>=0;){var f=e[o+c],p=e[s+f];-1===p?(c--,n[t++]=f):(e[s+f]=e[a+p],e[o+ ++c]=p)}return t}}exports.name="csTdfs",exports.path="algebra.sparse",exports.factory=r;
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"use strict";var r=require("../../utils/object").clone,e=require("../../utils/string").format;function t(t,a,n,s){var o=require("../../utils/latex"),i=n(require("../../type/matrix/function/matrix")),u=t.DenseMatrix,c=t.SparseMatrix,f=s("transpose",{Array:function(r){return f(i(r)).valueOf()},Matrix:function(t){var a,n=t.size();switch(n.length){case 1:a=t.clone();break;case 2:var s=n[0],o=n[1];if(0===o)throw new RangeError("Cannot transpose a 2D matrix with no columns (size: "+e(n)+")");switch(t.storage()){case"dense":a=function(e,t,a){for(var n,s=e._data,o=[],i=0;i<a;i++){n=o[i]=[];for(var c=0;c<t;c++)n[c]=r(s[c][i])}return new u({data:o,size:[a,t],datatype:e._datatype})}(t,s,o);break;case"sparse":a=function(e,t,a){for(var n,s,o,i=e._values,u=e._index,f=e._ptr,p=i?[]:void 0,l=[],v=[],x=[],d=0;d<t;d++)x[d]=0;for(n=0,s=u.length;n<s;n++)x[u[n]]++;for(var h=0,w=0;w<t;w++)v.push(h),h+=x[w],x[w]=v[w];for(v.push(h),o=0;o<a;o++)for(var g=f[o],m=f[o+1],y=g;y<m;y++){var _=x[u[y]]++;l[_]=o,i&&(p[_]=r(i[y]))}return new c({values:p,index:l,ptr:v,size:[a,t],datatype:e._datatype})}(t,s,o)}break;default:throw new RangeError("Matrix must be a vector or two dimensional (size: "+e(this._size)+")")}return a},any:function(e){return r(e)}});return f.toTex={1:"\\left(${args[0]}\\right)".concat(o.operators.transpose)},f}exports.name="transpose",exports.factory=t;
},{"../../utils/object":"FcSp","../../utils/string":"PshC","../../utils/latex":"H1Mr","../../type/matrix/function/matrix":"vzj5"}],"tamT":[function(require,module,exports) {
"use strict";function r(r,f,a){var e=a(require("./csFlip")),t=a(require("./csFkeep")),i=a(require("./csTdfs")),o=a(require("../../arithmetic/add")),n=a(require("../../arithmetic/multiply")),u=a(require("../../matrix/transpose"));function v(r,f,a,e,t){if(r<2||r+f<0){for(var i=0;i<t;i++)0!==a[e+i]&&(a[e+i]=1);r=2}return r}function s(r,f){return r!==f}return function(r,f){if(!f||r<=0||r>3)return null;var a=f._size,c=a[0],l=a[1],m=0,p=Math.max(16,10*Math.sqrt(l)),h=function(r,f,a,e,t){var i=u(f);if(1===r&&e===a)return o(f,i);if(2===r){for(var v=i._index,s=i._ptr,c=0,l=0;l<a;l++){var m=s[l];if(s[l]=c,!(s[l+1]-m>t))for(var p=s[l+1];m<p;m++)v[c++]=v[m]}return s[a]=c,f=u(i),n(i,f)}return n(i,f)}(r,f,c,l,p=Math.min(l-2,p));t(h,s,null);for(var x,q,M,d,_,g,y,F,b,k,z,A,T,j,w,B,C=h._index,D=h._ptr,E=D[l],G=[],H=[],I=l+1,J=2*(l+1),K=3*(l+1),L=4*(l+1),N=5*(l+1),O=6*(l+1),P=7*(l+1),Q=G,R=function(r,f,a,e,t,i,o,n,u,s,c,l){for(var m=0;m<r;m++)a[e+m]=f[m+1]-f[m];a[e+r]=0;for(var p=0;p<=r;p++)a[t+p]=-1,i[p]=-1,a[o+p]=-1,a[n+p]=-1,a[u+p]=1,a[s+p]=1,a[c+p]=0,a[l+p]=a[e+p];var h=v(0,0,a,s,r);return a[c+r]=-2,f[r]=-1,a[s+r]=0,h}(l,D,H,0,K,Q,J,P,I,O,L,N),S=function(r,f,a,t,i,o,n,u,v,s,c){for(var l=0,m=0;m<r;m++){var p=a[t+m];if(0===p)a[i+m]=-2,l++,f[m]=-1,a[o+m]=0;else if(p>n)a[u+m]=0,a[i+m]=-1,l++,f[m]=e(r),a[u+r]++;else{var h=a[v+p];-1!==h&&(s[h]=m),a[c+m]=a[v+p],a[v+p]=m}}return l}(l,D,H,N,L,O,p,I,K,Q,J),U=0;S<l;){for(M=-1;U<l&&-1===(M=H[K+U]);U++);-1!==H[J+M]&&(Q[H[J+M]]=-1),H[K+U]=H[J+M];var V=H[L+M],W=H[I+M];S+=W;var X=0;H[I+M]=-W;var Y=D[M],Z=0===V?Y:E,$=Z;for(d=1;d<=V+1;d++){for(d>V?(g=M,y=Y,F=H[0+M]-V):(y=D[g=C[Y++]],F=H[0+g]),_=1;_<=F;_++)(b=H[I+(x=C[y++])])<=0||(X+=b,H[I+x]=-b,C[$++]=x,-1!==H[J+x]&&(Q[H[J+x]]=Q[x]),-1!==Q[x]?H[J+Q[x]]=H[J+x]:H[K+H[N+x]]=H[J+x]);g!==M&&(D[g]=e(M),H[O+g]=0)}for(0!==V&&(E=$),H[N+M]=X,D[M]=Z,H[0+M]=$-Z,H[L+M]=-2,R=v(R,m,H,O,l),k=Z;k<$;k++)if(!((z=H[L+(x=C[k])])<=0)){var rr=R-(b=-H[I+x]);for(Y=D[x],A=D[x]+z-1;Y<=A;Y++)H[O+(g=C[Y])]>=R?H[O+g]-=b:0!==H[O+g]&&(H[O+g]=H[N+g]+rr)}for(k=Z;k<$;k++){for(T=(A=D[x=C[k]])+H[L+x]-1,j=A,w=0,B=0,Y=A;Y<=T;Y++)if(0!==H[O+(g=C[Y])]){var fr=H[O+g]-R;fr>0?(B+=fr,C[j++]=g,w+=g):(D[g]=e(M),H[O+g]=0)}H[L+x]=j-A+1;var ar=j,er=A+H[0+x];for(Y=T+1;Y<er;Y++){var tr=H[I+(q=C[Y])];tr<=0||(B+=tr,C[j++]=q,w+=q)}0===B?(D[x]=e(M),X-=b=-H[I+x],W+=b,S+=b,H[I+x]=0,H[L+x]=-1):(H[N+x]=Math.min(H[N+x],B),C[j]=C[ar],C[ar]=C[A],C[A]=M,H[0+x]=j-A+1,w=(w<0?-w:w)%l,H[J+x]=H[P+w],H[P+w]=x,Q[x]=w)}for(H[N+M]=X,R=v(R+(m=Math.max(m,X)),m,H,O,l),k=Z;k<$;k++)if(!(H[I+(x=C[k])]>=0))for(x=H[P+(w=Q[x])],H[P+w]=-1;-1!==x&&-1!==H[J+x];x=H[J+x],R++){for(F=H[0+x],z=H[L+x],Y=D[x]+1;Y<=D[x]+F-1;Y++)H[O+C[Y]]=R;var ir=x;for(q=H[J+x];-1!==q;){var or=H[0+q]===F&&H[L+q]===z;for(Y=D[q]+1;or&&Y<=D[q]+F-1;Y++)H[O+C[Y]]!==R&&(or=0);or?(D[q]=e(x),H[I+x]+=H[I+q],H[I+q]=0,H[L+q]=-1,q=H[J+q],H[J+ir]=q):(ir=q,q=H[J+q])}}for(Y=Z,k=Z;k<$;k++)(b=-H[I+(x=C[k])])<=0||(H[I+x]=b,B=H[N+x]+X-b,-1!==H[K+(B=Math.min(B,l-S-b))]&&(Q[H[K+B]]=x),H[J+x]=H[K+B],Q[x]=-1,H[K+B]=x,U=Math.min(U,B),H[N+x]=B,C[Y++]=x);H[I+M]=W,0==(H[0+M]=Y-Z)&&(D[M]=-1,H[O+M]=0),0!==V&&(E=Y)}for(x=0;x<l;x++)D[x]=e(D[x]);for(q=0;q<=l;q++)H[K+q]=-1;for(q=l;q>=0;q--)H[I+q]>0||(H[J+q]=H[K+D[q]],H[K+D[q]]=q);for(g=l;g>=0;g--)H[I+g]<=0||-1!==D[g]&&(H[J+g]=H[K+D[g]],H[K+D[g]]=g);for(M=0,x=0;x<=l;x++)-1===D[x]&&(M=i(x,M,H,K,J,G,O));return G.splice(G.length-1,1),G}}exports.name="csAmd",exports.path="algebra.sparse",exports.factory=r;
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"use strict";function e(e){var r=e.SparseMatrix;return function(e,a,t,s){for(var n=e._values,p=e._index,u=e._ptr,i=e._size,o=e._datatype,v=i[0],l=i[1],x=s&&e._values?[]:null,_=[],c=[],f=0,d=0;d<l;d++){c[d]=f;for(var y=t?t[d]:d,m=u[y],z=u[y+1],b=m;b<z;b++){var g=a?a[p[b]]:p[b];_[f]=g,x&&(x[f]=n[b]),f++}}return c[l]=f,new r({values:x,index:_,ptr:c,size:[v,l],datatype:o})}}exports.name="csPermute",exports.path="algebra.sparse",exports.factory=e;
},{}],"vEli":[function(require,module,exports) {
"use strict";function r(){return function(r,e){if(!r)return null;var t,a,n=r._index,o=r._ptr,f=r._size,s=f[0],i=f[1],u=[],p=[],c=i;if(e)for(t=0;t<s;t++)p[c+t]=-1;for(var v=0;v<i;v++){u[v]=-1,p[0+v]=-1;for(var x=o[v],l=o[v+1],_=x;_<l;_++){var b=n[_];for(t=e?p[c+b]:b;-1!==t&&t<v;t=a)a=p[0+t],p[0+t]=v,-1===a&&(u[t]=v);e&&(p[c+b]=v)}}return u}}exports.name="csEtree",exports.path="algebra.sparse",exports.factory=r;
},{}],"ONfv":[function(require,module,exports) {
"use strict";function r(r,t,e){var s=e(require("./csTdfs"));return function(r,t){if(!r)return null;var e,o=0,n=[],a=[],f=t,u=2*t;for(e=0;e<t;e++)a[0+e]=-1;for(e=t-1;e>=0;e--)-1!==r[e]&&(a[f+e]=a[0+r[e]],a[0+r[e]]=e);for(e=0;e<t;e++)-1===r[e]&&(o=s(e,o,a,0,f,n,u));return n}}exports.name="csPost",exports.path="algebra.sparse",exports.factory=r;
},{"./csTdfs":"xmPn"}],"R1Om":[function(require,module,exports) {
"use strict";function r(){return function(r,e,t,a,f,s,n){var o,u,c,i,p=0;if(r<=e||t[a+e]<=t[f+r])return-1;if(t[f+r]=t[a+e],c=t[s+r],t[s+r]=e,-1===c)p=1,i=r;else{for(p=2,i=c;i!==t[n+i];i=t[n+i]);for(o=c;o!==i;o=u)u=t[n+o],t[n+o]=i}return{jleaf:p,q:i}}}exports.name="csLeaf",exports.path="algebra.sparse",exports.factory=r;
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"use strict";function r(r,e,f){var o=f(require("../../matrix/transpose")),t=f(require("./csLeaf"));return function(r,e,f,a){if(!r||!e||!f)return null;var n,s,i,u,p,c,l,x=r._size,v=x[0],m=x[1],q=4*m+(a?m+v+1:0),_=[],h=m,j=2*m,b=3*m,d=4*m,g=5*m+1;for(i=0;i<q;i++)_[i]=-1;var y=[],z=o(r),C=z._index,L=z._ptr;for(i=0;i<m;i++)for(y[s=f[i]]=-1===_[b+s]?1:0;-1!==s&&-1===_[b+s];s=e[s])_[b+s]=i;if(a){for(i=0;i<m;i++)_[f[i]]=i;for(n=0;n<v;n++){for(i=m,c=L[n],l=L[n+1],p=c;p<l;p++)i=Math.min(i,_[C[p]]);_[g+n]=_[d+i],_[d+i]=n}}for(n=0;n<m;n++)_[0+n]=n;for(i=0;i<m;i++){for(-1!==e[s=f[i]]&&y[e[s]]--,u=a?_[d+i]:s;-1!==u;u=a?_[g+u]:-1)for(p=L[u];p<L[u+1];p++){n=C[p];var M=t(n,s,_,b,h,j,0);M.jleaf>=1&&y[s]++,2===M.jleaf&&y[M.q]--}-1!==e[s]&&(_[0+s]=e[s])}for(s=0;s<m;s++)-1!==e[s]&&(y[e[s]]+=y[s]);return y}}exports.name="csCounts",exports.path="algebra.sparse",exports.factory=r;
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"use strict";function r(r,e,n){var t=n(require("./csAmd")),u=n(require("./csPermute")),s=n(require("./csEtree")),o=n(require("./csPost")),a=n(require("./csCounts"));return function(r,e,n){var f,i=e._ptr,p=e._size[1],c={};if(c.q=t(r,e),r&&!c.q)return null;if(n){var l=r?u(e,null,c.q,0):e;c.parent=s(l,1);var z=o(c.parent,p);if(c.cp=a(l,c.parent,z,1),l&&c.parent&&c.cp&&function(r,e){var n=r._ptr,t=r._index,u=r._size,s=u[0],o=u[1];e.pinv=[],e.leftmost=[];var a,f,i,p,c,l=e.parent,z=e.pinv,q=e.leftmost,v=[],m=s,_=s+o,x=s+2*o;for(f=0;f<o;f++)v[m+f]=-1,v[_+f]=-1,v[x+f]=0;for(a=0;a<s;a++)q[a]=-1;for(f=o-1;f>=0;f--)for(p=n[f],c=n[f+1],i=p;i<c;i++)q[t[i]]=f;for(a=s-1;a>=0;a--)z[a]=-1,-1!==(f=q[a])&&(0==v[x+f]++&&(v[_+f]=a),v[0+a]=v[m+f],v[m+f]=a);for(e.lnz=0,e.m2=s,f=0;f<o;f++)if(a=v[m+f],e.lnz++,a<0&&(a=e.m2++),z[a]=f,!(--x[f]<=0)){e.lnz+=v[x+f];var d=l[f];-1!==d&&(0===v[x+d]&&(v[_+d]=v[_+f]),v[0+v[_+f]]=v[m+d],v[m+d]=v[0+a],v[x+d]+=v[x+f])}for(a=0;a<s;a++)z[a]<0&&(z[a]=f++);return!0}(l,c))for(c.unz=0,f=0;f<p;f++)c.unz+=c.cp[f]}else c.unz=4*i[p]+p,c.lnz=c.unz;return c}}exports.name="csSqr",exports.path="algebra.sparse",exports.factory=r;
},{"./csAmd":"tamT","./csPermute":"rGf9","./csEtree":"vEli","./csPost":"ONfv","./csCounts":"OmuS"}],"d923":[function(require,module,exports) {
"use strict";var r=require("../../utils/number").nearlyEqual,e=require("../../utils/bignumber/nearlyEqual");function t(t,n,i,a){var u=i(require("../../type/matrix/function/matrix")),o=i(require("../../type/matrix/utils/algorithm03")),l=i(require("../../type/matrix/utils/algorithm07")),s=i(require("../../type/matrix/utils/algorithm12")),f=i(require("../../type/matrix/utils/algorithm13")),c=i(require("../../type/matrix/utils/algorithm14")),x=require("../../utils/latex"),m=a("largerEq",{"boolean, boolean":function(r,e){return r>=e},"number, number":function(e,t){return e>=t||r(e,t,n.epsilon)},"BigNumber, BigNumber":function(r,t){return r.gte(t)||e(r,t,n.epsilon)},"Fraction, Fraction":function(r,e){return-1!==r.compare(e)},"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")},"Unit, Unit":function(r,e){if(!r.equalBase(e))throw new Error("Cannot compare units with different base");return m(r.value,e.value)},"SparseMatrix, SparseMatrix":function(r,e){return l(r,e,m)},"SparseMatrix, DenseMatrix":function(r,e){return o(e,r,m,!0)},"DenseMatrix, SparseMatrix":function(r,e){return o(r,e,m,!1)},"DenseMatrix, DenseMatrix":function(r,e){return f(r,e,m)},"Array, Array":function(r,e){return m(u(r),u(e)).valueOf()},"Array, Matrix":function(r,e){return m(u(r),e)},"Matrix, Array":function(r,e){return m(r,u(e))},"SparseMatrix, any":function(r,e){return s(r,e,m,!1)},"DenseMatrix, any":function(r,e){return c(r,e,m,!1)},"any, SparseMatrix":function(r,e){return s(e,r,m,!0)},"any, DenseMatrix":function(r,e){return c(e,r,m,!0)},"Array, any":function(r,e){return c(u(r),e,m,!1).valueOf()},"any, Array":function(r,e){return c(u(e),r,m,!0).valueOf()}});return m.toTex={2:"\\left(${args[0]}".concat(x.operators.largerEq,"${args[1]}\\right)")},m}exports.name="largerEq",exports.factory=t;
},{"../../utils/number":"uqMu","../../utils/bignumber/nearlyEqual":"Uu9K","../../type/matrix/function/matrix":"vzj5","../../type/matrix/utils/algorithm03":"oR02","../../type/matrix/utils/algorithm07":"u44a","../../type/matrix/utils/algorithm12":"Pn2O","../../type/matrix/utils/algorithm13":"NS7U","../../type/matrix/utils/algorithm14":"S2eB","../../utils/latex":"H1Mr"}],"HHkn":[function(require,module,exports) {
"use strict";function r(){return function(r,t){return r[t]<0}}exports.name="csMarked",exports.path="algebra.sparse",exports.factory=r;
},{}],"Lsyn":[function(require,module,exports) {
"use strict";function r(r,e,t){var s=t(require("./csFlip"));return function(r,e){r[e]=s(r[e])}}exports.name="csMark",exports.path="algebra.sparse",exports.factory=r;
},{"./csFlip":"da3s"}],"x9BP":[function(require,module,exports) {
"use strict";function r(r,e,t){var s=t(require("./csFlip"));return function(r){return r<0?s(r):r}}exports.name="csUnflip",exports.path="algebra.sparse",exports.factory=r;
},{"./csFlip":"da3s"}],"JD8V":[function(require,module,exports) {
"use strict";function r(r,e,a){var s=a(require("./csMarked")),t=a(require("./csMark")),i=a(require("./csUnflip"));return function(r,e,a,n,c){var f,o,u,p=e._index,v=e._ptr,x=e._size[1],k=0;for(n[0]=r;k>=0;){r=n[k];var q=c?c[r]:r;s(v,r)||(t(v,r),n[x+k]=q<0?0:i(v[q]));var _=1;for(o=n[x+k],u=q<0?0:i(v[q+1]);o<u;o++)if(f=p[o],!s(v,f)){n[x+k]=o,n[++k]=f,_=0;break}_&&(k--,n[--a]=r)}return a}}exports.name="csDfs",exports.path="algebra.sparse",exports.factory=r;
},{"./csMarked":"HHkn","./csMark":"Lsyn","./csUnflip":"x9BP"}],"b7WF":[function(require,module,exports) {
"use strict";function r(r,e,s){var t=s(require("./csDfs")),a=s(require("./csMarked")),c=s(require("./csMark"));return function(r,e,s,i,n){var o,u,p,f=r._ptr,x=r._size,_=e._index,q=e._ptr,v=x[1],d=v;for(u=q[s],p=q[s+1],o=u;o<p;o++){var h=_[o];a(f,h)||(d=t(h,r,d,i,n))}for(o=d;o<v;o++)c(f,i[o]);return d}}exports.name="csReach",exports.path="algebra.sparse",exports.factory=r;
},{"./csDfs":"JD8V","./csMarked":"HHkn","./csMark":"Lsyn"}],"k2Qt":[function(require,module,exports) {
"use strict";function r(r,e,t){var a=t(require("../../arithmetic/divideScalar")),i=t(require("../../arithmetic/multiply")),s=t(require("../../arithmetic/subtract")),u=t(require("./csReach"));return function(r,e,t,c,o,n,p){var v,f,l,_,h=r._values,m=r._index,x=r._ptr,d=r._size[1],q=e._values,b=e._index,y=e._ptr,S=u(r,e,t,c,n);for(v=S;v<d;v++)o[c[v]]=0;for(f=y[t],l=y[t+1],v=f;v<l;v++)o[b[v]]=q[v];for(var g=S;g<d;g++){var z=c[g],R=n?n[z]:z;if(!(R<0))for(f=x[R],l=x[R+1],o[z]=a(o[z],h[p?f:l-1]),v=p?f+1:f,_=p?l:l-1;v<_;v++){var j=m[v];o[j]=s(o[j],i(h[v],o[z]))}}return S}}exports.name="csSpsolve",exports.path="algebra.sparse",exports.factory=r;
},{"../../arithmetic/divideScalar":"R3aq","../../arithmetic/multiply":"k7By","../../arithmetic/subtract":"m78R","./csReach":"b7WF"}],"i7D2":[function(require,module,exports) {
"use strict";function r(r,e,i){var a=i(require("../../arithmetic/abs")),t=i(require("../../arithmetic/divideScalar")),l=i(require("../../arithmetic/multiply")),n=i(require("../../relational/larger")),s=i(require("../../relational/largerEq")),u=i(require("./csSpsolve")),p=r.SparseMatrix;return function(r,e,i){if(!r)return null;var c,o=r._size[1],v=100,f=100;e&&(c=e.q,v=e.lnz||v,f=e.unz||f);var h,q,g=[],x=[],m=[],z=new p({values:g,index:x,ptr:m,size:[o,o]}),d=[],S=[],b=[],w=new p({values:d,index:S,ptr:b,size:[o,o]}),y=[],L=[],E=[];for(h=0;h<o;h++)L[h]=0,y[h]=-1,m[h+1]=0;v=0,f=0;for(var M=0;M<o;M++){m[M]=v,b[M]=f;var U=c?c[M]:M,_=u(z,r,U,E,L,y,1),j=-1,k=-1;for(q=_;q<o;q++)if(y[h=E[q]]<0){var A=a(L[h]);n(A,k)&&(k=A,j=h)}else S[f]=y[h],d[f++]=L[h];if(-1===j||k<=0)return null;y[U]<0&&s(a(L[U]),l(k,i))&&(j=U);var B=L[j];for(S[f]=M,d[f++]=B,y[j]=M,x[v]=j,g[v++]=1,q=_;q<o;q++)y[h=E[q]]<0&&(x[v]=h,g[v++]=t(L[h],B)),L[h]=0}for(m[o]=v,b[o]=f,q=0;q<v;q++)x[q]=y[x[q]];return g.splice(v,g.length-v),x.splice(v,x.length-v),d.splice(f,d.length-f),S.splice(f,S.length-f),{L:z,U:w,pinv:y}}}exports.name="csLu",exports.path="algebra.sparse",exports.factory=r;
},{"../../arithmetic/abs":"K5X1","../../arithmetic/divideScalar":"R3aq","../../arithmetic/multiply":"k7By","../../relational/larger":"SrDl","../../relational/largerEq":"d923","./csSpsolve":"k2Qt"}],"g5hu":[function(require,module,exports) {
"use strict";var r=require("../../../utils/index"),t=r.number,e=t.isInteger;function n(r,t,n,i){var s=n(require("../../algebra/sparse/csSqr")),o=n(require("../../algebra/sparse/csLu"));return i("slu",{"SparseMatrix, number, number":function(r,t,n){if(!e(t)||t<0||t>3)throw new Error("Symbolic Ordering and Analysis order must be an integer number in the interval [0, 3]");if(n<0||n>1)throw new Error("Partial pivoting threshold must be a number from 0 to 1");var i=s(t,r,!1),u=o(r,i,n);return{L:u.L,U:u.U,p:u.pinv,q:i.q,toString:function(){return"L: "+this.L.toString()+"\nU: "+this.U.toString()+"\np: "+this.p.toString()+(this.q?"\nq: "+this.q.toString():"")+"\n"}}}})}exports.name="slu",exports.factory=n;
},{"../../../utils/index":"fsXI","../../algebra/sparse/csSqr":"VNCK","../../algebra/sparse/csLu":"i7D2"}],"YTfO":[function(require,module,exports) {
"use strict";var t=require("../../../../utils/index"),r=t.string,e=t.array,a=Array.isArray;function n(t){var n=t.DenseMatrix;return function(i,s,o){var m=i.size();if(2!==m.length)throw new RangeError("Matrix must be two dimensional (size: "+r.format(m)+")");var h,c,u,f=m[0];if(f!==m[1])throw new RangeError("Matrix must be square (size: "+r.format(m)+")");if(t.isMatrix(s)){var w=s.size();if(1===w.length){if(w[0]!==f)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(h=[],u=s._data,c=0;c<f;c++)h[c]=[u[c]];return new n({data:h,size:[f,1],datatype:s._datatype})}if(2===w.length){if(w[0]!==f||1!==w[1])throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");if(t.isDenseMatrix(s)){if(o){for(h=[],u=s._data,c=0;c<f;c++)h[c]=[u[c][0]];return new n({data:h,size:[f,1],datatype:s._datatype})}return s}for(h=[],c=0;c<f;c++)h[c]=[0];for(var g=s._values,l=s._index,d=s._ptr,v=d[1],x=d[0];x<v;x++)h[c=l[x]][0]=g[x];return new n({data:h,size:[f,1],datatype:s._datatype})}throw new RangeError("Dimension mismatch. Matrix columns must match vector length.")}if(a(s)){var M=e.size(s);if(1===M.length){if(M[0]!==f)throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(h=[],c=0;c<f;c++)h[c]=[s[c]];return new n({data:h,size:[f,1]})}if(2===M.length){if(M[0]!==f||1!==M[1])throw new RangeError("Dimension mismatch. Matrix columns must match vector length.");for(h=[],c=0;c<f;c++)h[c]=[s[c][0]];return new n({data:h,size:[f,1]})}throw new RangeError("Dimension mismatch. Matrix columns must match vector length.")}}}exports.factory=n;
},{"../../../../utils/index":"fsXI"}],"LFCL":[function(require,module,exports) {
"use strict";function r(r,e,a,i){var t=a(require("../../../type/matrix/function/matrix")),n=a(require("../../arithmetic/divideScalar")),s=a(require("../../arithmetic/multiplyScalar")),u=a(require("../../arithmetic/subtract")),o=a(require("../../relational/equalScalar")),l=a(require("./utils/solveValidation")),c=r.DenseMatrix;function f(r,e){for(var a=(e=l(r,e,!0))._data,i=r._size[0],t=r._size[1],f=[],v=r._data,x=0;x<t;x++){var d=a[x][0]||0,m=void 0;if(o(d,0))m=0;else{var _=v[x][x];if(o(_,0))throw new Error("Linear system cannot be solved since matrix is singular");m=n(d,_);for(var y=x+1;y<i;y++)a[y]=[u(a[y][0]||0,s(m,v[y][x]))]}f[x]=[m]}return new c({data:f,size:[i,1]})}return i("lsolve",{"SparseMatrix, Array | Matrix":function(r,e){return function(r,e){for(var a,i,t=(e=l(r,e,!0))._data,f=r._size[0],v=r._size[1],x=r._values,d=r._index,m=r._ptr,_=[],y=0;y<v;y++){var h=t[y][0]||0;if(o(h,0))_[y]=[0];else{var p=0,q=[],w=[],z=m[y+1];for(i=m[y];i<z;i++)(a=d[i])===y?p=x[i]:a>y&&(q.push(x[i]),w.push(a));if(o(p,0))throw new Error("Linear system cannot be solved since matrix is singular");var M=n(h,p);for(i=0,z=w.length;i<z;i++)a=w[i],t[a]=[u(t[a][0]||0,s(M,q[i]))];_[y]=[M]}}return new c({data:_,size:[f,1]})}(r,e)},"DenseMatrix, Array | Matrix":function(r,e){return f(r,e)},"Array, Array | Matrix":function(r,e){return f(t(r),e).valueOf()}})}exports.name="lsolve",exports.factory=r;
},{"../../../type/matrix/function/matrix":"vzj5","../../arithmetic/divideScalar":"R3aq","../../arithmetic/multiplyScalar":"obRw","../../arithmetic/subtract":"m78R","../../relational/equalScalar":"QvIw","./utils/solveValidation":"YTfO"}],"nPqM":[function(require,module,exports) {
"use strict";function r(){return function(r,e){var t,s=e.length,n=[];if(r)for(t=0;t<s;t++)n[r[t]]=e[t];else for(t=0;t<s;t++)n[t]=e[t];return n}}exports.name="csIpvec",exports.path="algebra.sparse",exports.factory=r;
},{}],"IPbG":[function(require,module,exports) {
"use strict";function r(r,e,a,i){var t=a(require("../../../type/matrix/function/matrix")),n=a(require("../../arithmetic/divideScalar")),s=a(require("../../arithmetic/multiplyScalar")),u=a(require("../../arithmetic/subtract")),o=a(require("../../relational/equalScalar")),l=a(require("./utils/solveValidation")),c=r.DenseMatrix;function f(r,e){for(var a=(e=l(r,e,!0))._data,i=r._size[0],t=r._size[1],f=[],v=r._data,x=t-1;x>=0;x--){var d=a[x][0]||0,m=void 0;if(o(d,0))m=0;else{var _=v[x][x];if(o(_,0))throw new Error("Linear system cannot be solved since matrix is singular");m=n(d,_);for(var y=x-1;y>=0;y--)a[y]=[u(a[y][0]||0,s(m,v[y][x]))]}f[x]=[m]}return new c({data:f,size:[i,1]})}return i("usolve",{"SparseMatrix, Array | Matrix":function(r,e){return function(r,e){for(var a,i,t=(e=l(r,e,!0))._data,f=r._size[0],v=r._size[1],x=r._values,d=r._index,m=r._ptr,_=[],y=v-1;y>=0;y--){var h=t[y][0]||0;if(o(h,0))_[y]=[0];else{var p=0,q=[],w=[],z=m[y],M=m[y+1];for(i=M-1;i>=z;i--)(a=d[i])===y?p=x[i]:a<y&&(q.push(x[i]),w.push(a));if(o(p,0))throw new Error("Linear system cannot be solved since matrix is singular");var A=n(h,p);for(i=0,M=w.length;i<M;i++)a=w[i],t[a]=[u(t[a][0],s(A,q[i]))];_[y]=[A]}}return new c({data:_,size:[f,1]})}(r,e)},"DenseMatrix, Array | Matrix":function(r,e){return f(r,e)},"Array, Array | Matrix":function(r,e){return f(t(r),e).valueOf()}})}exports.name="usolve",exports.factory=r;
},{"../../../type/matrix/function/matrix":"vzj5","../../arithmetic/divideScalar":"R3aq","../../arithmetic/multiplyScalar":"obRw","../../arithmetic/subtract":"m78R","../../relational/equalScalar":"QvIw","./utils/solveValidation":"YTfO"}],"gikm":[function(require,module,exports) {
"use strict";var r=Array.isArray;function e(e,t,a,i){var n=a(require("../../../type/matrix/function/matrix")),u=a(require("../decomposition/lup")),o=a(require("../decomposition/slu")),s=a(require("../sparse/csIpvec")),l=a(require("./utils/solveValidation")),c=a(require("./usolve")),p=a(require("./lsolve")),v=i("lusolve",{"Array, Array | Matrix":function(r,e){r=n(r);var t=u(r);return f(t.L,t.U,t.p,null,e).valueOf()},"DenseMatrix, Array | Matrix":function(r,e){var t=u(r);return f(t.L,t.U,t.p,null,e)},"SparseMatrix, Array | Matrix":function(r,e){var t=u(r);return f(t.L,t.U,t.p,null,e)},"SparseMatrix, Array | Matrix, number, number":function(r,e,t,a){var i=o(r,t,a);return f(i.L,i.U,i.p,i.q,e)},"Object, Array | Matrix":function(r,e){return f(r.L,r.U,r.p,r.q,e)}}),x=function(t){if(e.isMatrix(t))return t;if(r(t))return n(t);throw new TypeError("Invalid Matrix LU decomposition")};function f(r,e,t,a,i){r=x(r),e=x(e),i=l(r,i,!1),t&&(i._data=s(t,i._data));var n=p(r,i),u=c(e,n);return a&&(u._data=s(a,u._data)),u}return v}exports.name="lusolve",exports.factory=e;
},{"../../../type/matrix/function/matrix":"vzj5","../decomposition/lup":"IRmO","../decomposition/slu":"g5hu","../sparse/csIpvec":"nPqM","./utils/solveValidation":"YTfO","./usolve":"IPbG","./lsolve":"LFCL"}],"VeYJ":[function(require,module,exports) {
"use strict";module.exports=[require("./derivative"),require("./simplify"),require("./rationalize"),require("./decomposition/qr"),require("./decomposition/lup"),require("./decomposition/slu"),require("./solver/lsolve"),require("./solver/lusolve"),require("./solver/usolve")];
},{"./derivative":"VLL0","./simplify":"EVZ1","./rationalize":"wmjX","./decomposition/qr":"fqqA","./decomposition/lup":"IRmO","./decomposition/slu":"g5hu","./solver/lsolve":"LFCL","./solver/lusolve":"gikm","./solver/usolve":"IPbG"}],"HYoC":[function(require,module,exports) {
"use strict";var r=require("../../utils/collection/deepMap");function e(e,t,n,i){var u=i("isNegative",{number:function(r){return r<0},BigNumber:function(r){return r.isNeg()&&!r.isZero()&&!r.isNaN()},Fraction:function(r){return r.s<0},Unit:function(r){return u(r.value)},"Array | Matrix":function(e){return r(e,u)}});return u}exports.name="isNegative",exports.factory=e;
},{"../../utils/collection/deepMap":"lOYo"}],"N7RE":[function(require,module,exports) {
"use strict";var e=require("../../utils/collection/deepMap");function r(r,u,a,n){var i=a(require("./unaryMinus")),l=a(require("../utils/isNegative")),o=a(require("../../type/matrix/function/matrix")),v=n("cbrt",{number:t,Complex:m,"Complex, boolean":m,BigNumber:function(e){return e.cbrt()},Unit:function(e){if(e.value&&r.isComplex(e.value)){var t=e.clone();return t.value=1,(t=t.pow(1/3)).value=m(e.value),t}var u,a=l(e.value);a&&(e.value=i(e.value)),u=r.isBigNumber(e.value)?new r.BigNumber(1).div(3):r.isFraction(e.value)?new r.Fraction(1,3):1/3;var n=e.pow(u);return a&&(n.value=i(n.value)),n},"Array | Matrix":function(r){return e(r,v,!0)}});function m(e,a){var n=e.arg()/3,i=e.abs(),l=new r.Complex(t(i),0).mul(new r.Complex(0,n).exp());if(a){var v=[l,new r.Complex(t(i),0).mul(new r.Complex(0,n+2*Math.PI/3).exp()),new r.Complex(t(i),0).mul(new r.Complex(0,n-2*Math.PI/3).exp())];return"Array"===u.matrix?v:o(v)}return l}return v.toTex={1:"\\sqrt[3]{${args[0]}}"},v}var t=Math.cbrt||function(e){if(0===e)return e;var r,t=e<0;return t&&(e=-e),r=isFinite(e)?(e/((r=Math.exp(Math.log(e)/3))*r)+2*r)/3:e,t?-r:r};exports.name="cbrt",exports.factory=r;
},{"../../utils/collection/deepMap":"lOYo","./unaryMinus":"q5A1","../utils/isNegative":"HYoC","../../type/matrix/function/matrix":"vzj5"}],"qFQg":[function(require,module,exports) {
"use strict";var r=require("../../utils/collection/deepMap");function t(t,n,e,u){var i=u("cube",{number:function(r){return r*r*r},Complex:function(r){return r.mul(r).mul(r)},BigNumber:function(r){return r.times(r).times(r)},Fraction:function(r){return r.pow(3)},"Array | Matrix":function(t){return r(t,i,!0)},Unit:function(r){return r.pow(3)}});return i.toTex={1:"\\left(${args[0]}\\right)^3"},i}exports.name="cube",exports.factory=t;
},{"../../utils/collection/deepMap":"lOYo"}],"j4Xj":[function(require,module,exports) {
"use strict";var r=require("../../../error/DimensionError");function e(e,t,a,n){var i=a(require("../../../function/relational/equalScalar")),o=e.SparseMatrix;return function(e,t,a,s){var h=e._data,p=e._size,u=e._datatype,f=t._values,l=t._index,v=t._ptr,c=t._size,d=t._datatype;if(p.length!==c.length)throw new r(p.length,c.length);if(p[0]!==c[0]||p[1]!==c[1])throw new RangeError("Dimension mismatch. Matrix A ("+p+") must match Matrix B ("+c+")");if(!f)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var g,m=p[0],x=p[1],_=i,w=0,y=a;"string"==typeof u&&u===d&&(g=u,_=n.find(i,[g,g]),w=n.convert(0,g),y=n.find(a,[g,g]));for(var M=[],q=[],z=[],D=0;D<x;D++){z[D]=q.length;for(var E=v[D],S=v[D+1],A=E;A<S;A++){var B=l[A],C=s?y(f[A],h[B][D]):y(h[B][D],f[A]);_(C,w)||(q.push(B),M.push(C))}}return z[x]=q.length,new o({values:M,index:q,ptr:z,size:[m,x],datatype:g})}}exports.name="algorithm02",exports.factory=e;
},{"../../../error/DimensionError":"YiAw","../../../function/relational/equalScalar":"QvIw"}],"JrX5":[function(require,module,exports) {
"use strict";function r(r,t,e,i){var a=e(require("../../type/matrix/function/matrix")),n=e(require("./divideScalar")),u=require("../../utils/latex"),o=e(require("../../type/matrix/utils/algorithm02")),s=e(require("../../type/matrix/utils/algorithm03")),x=e(require("../../type/matrix/utils/algorithm07")),y=e(require("../../type/matrix/utils/algorithm11")),l=e(require("../../type/matrix/utils/algorithm12")),c=e(require("../../type/matrix/utils/algorithm13")),f=e(require("../../type/matrix/utils/algorithm14")),m=i("dotDivide",{"any, any":n,"SparseMatrix, SparseMatrix":function(r,t){return x(r,t,n,!1)},"SparseMatrix, DenseMatrix":function(r,t){return o(t,r,n,!0)},"DenseMatrix, SparseMatrix":function(r,t){return s(r,t,n,!1)},"DenseMatrix, DenseMatrix":function(r,t){return c(r,t,n)},"Array, Array":function(r,t){return m(a(r),a(t)).valueOf()},"Array, Matrix":function(r,t){return m(a(r),t)},"Matrix, Array":function(r,t){return m(r,a(t))},"SparseMatrix, any":function(r,t){return y(r,t,n,!1)},"DenseMatrix, any":function(r,t){return f(r,t,n,!1)},"any, SparseMatrix":function(r,t){return l(t,r,n,!0)},"any, DenseMatrix":function(r,t){return f(t,r,n,!0)},"Array, any":function(r,t){return f(a(r),t,n,!1).valueOf()},"any, Array":function(r,t){return f(a(t),r,n,!0).valueOf()}});return m.toTex={2:"\\left(${args[0]}".concat(u.operators.dotDivide,"${args[1]}\\right)")},m}exports.name="dotDivide",exports.factory=r;
},{"../../type/matrix/function/matrix":"vzj5","./divideScalar":"R3aq","../../utils/latex":"H1Mr","../../type/matrix/utils/algorithm02":"j4Xj","../../type/matrix/utils/algorithm03":"oR02","../../type/matrix/utils/algorithm07":"u44a","../../type/matrix/utils/algorithm11":"dpKK","../../type/matrix/utils/algorithm12":"Pn2O","../../type/matrix/utils/algorithm13":"NS7U","../../type/matrix/utils/algorithm14":"S2eB"}],"PvZY":[function(require,module,exports) {
"use strict";var r=require("../../../error/DimensionError");function e(e,t,a,i){var n=a(require("../../../function/relational/equalScalar")),o=e.SparseMatrix;return function(e,t,a){var s=e._values,u=e._index,l=e._ptr,f=e._size,h=e._datatype,p=t._values,v=t._index,d=t._ptr,_=t._size,c=t._datatype;if(f.length!==_.length)throw new r(f.length,_.length);if(f[0]!==_[0]||f[1]!==_[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+_+")");var g,m=f[0],x=f[1],w=n,y=0,q=a;"string"==typeof h&&h===c&&(g=h,w=i.find(n,[g,g]),y=i.convert(0,g),q=i.find(a,[g,g]));var z,M,D,E,S,A=s&&p?[]:void 0,B=[],R=[],b=new o({values:A,index:B,ptr:R,size:[m,x],datatype:g}),j=A?[]:void 0,k=[];for(M=0;M<x;M++){R[M]=B.length;var C=M+1;if(j)for(E=d[M],S=d[M+1],D=E;D<S;D++)k[z=v[D]]=C,j[z]=p[D];for(E=l[M],S=l[M+1],D=E;D<S;D++)if(z=u[D],j){var F=k[z]===C?j[z]:y,G=q(s[D],F);w(G,y)||(B.push(z),A.push(G))}else B.push(z)}return R[x]=B.length,b}}exports.name="algorithm09",exports.factory=e;
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"use strict";function r(r,e,t,i){var n=t(require("../../type/matrix/function/matrix")),o=t(require("../arithmetic/divide")),u=t(require("../statistics/sum")),s=t(require("../arithmetic/multiply")),a=t(require("../arithmetic/dotDivide")),c=t(require("../arithmetic/log")),m=t(require("../utils/isNumeric"));function f(r,e){var t=e.size().length,i=r.size().length;if(t>1)throw new Error("first object must be one dimensional");if(i>1)throw new Error("second object must be one dimensional");if(t!==i)throw new Error("Length of two vectors must be equal");if(0===u(r))throw new Error("Sum of elements in first object must be non zero");if(0===u(e))throw new Error("Sum of elements in second object must be non zero");var n=o(r,u(r)),f=o(e,u(e)),l=u(s(n,c(a(n,f))));return m(l)?l:Number.NaN}return i("kldivergence",{"Array, Array":function(r,e){return f(n(r),n(e))},"Matrix, Array":function(r,e){return f(r,n(e))},"Array, Matrix":function(r,e){return f(n(r),e)},"Matrix, Matrix":function(r,e){return f(r,e)}})}exports.name="kldivergence",exports.factory=r;
},{"../../type/matrix/function/matrix":"vzj5","../arithmetic/divide":"lVgQ","../statistics/sum":"y9hQ","../arithmetic/multiply":"k7By","../arithmetic/dotDivide":"JrX5","../arithmetic/log":"T05K","../utils/isNumeric":"Rv38"}],"kuKA":[function(require,module,exports) {
"use strict";var i=require("../../utils/collection/deepForEach");function r(r,e,t,u){var a=t(require("../arithmetic/add")),n=t(require("../arithmetic/multiply")),o=t(require("../arithmetic/divide")),l=t(require("../probability/factorial")),c=t(require("../utils/isInteger")),m=t(require("../utils/isPositive"));return u("multinomial",{"Array | Matrix":function(r){var e=0,t=1;return i(r,function(i){if(!c(i)||!m(i))throw new TypeError("Positive integer value expected in function multinomial");e=a(e,i),t=n(t,l(i))}),o(l(e),t)}})}exports.name="multinomial",exports.factory=r;
},{"../../utils/collection/deepForEach":"Uh7d","../arithmetic/add":"zf2Z","../arithmetic/multiply":"k7By","../arithmetic/divide":"lVgQ","../probability/factorial":"yidz","../utils/isInteger":"qG7X","../utils/isPositive":"OFKG"}],"IUt2":[function(require,module,exports) {
"use strict";var e=require("../../utils/number").isInteger;function r(r,n,i,u){var o=i(require("./factorial")),s=require("./product"),a=u("permutations",{"number | BigNumber":o,"number, number":function(r,t){if(!e(r)||r<0)throw new TypeError("Positive integer value expected in function permutations");if(!e(t)||t<0)throw new TypeError("Positive integer value expected in function permutations");if(t>r)throw new TypeError("second argument k must be less than or equal to first argument n");return s(r-t+1,r)},"BigNumber, BigNumber":function(e,n){var i,u;if(!t(e)||!t(n))throw new TypeError("Positive integer value expected in function permutations");if(n.gt(e))throw new TypeError("second argument k must be less than or equal to first argument n");for(i=new r.BigNumber(1),u=e.minus(n).plus(1);u.lte(e);u=u.plus(1))i=i.times(u);return i}});return a.toTex=void 0,a}function t(e){return e.isInteger()&&e.gte(0)}exports.name="permutations",exports.factory=r;
},{"../../utils/number":"uqMu","./factorial":"yidz","./product":"FONy"}],"JPVl":[function(require,module,exports) {
var global = arguments[3];
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},{}],"qBYF":[function(require,module,exports) {
"use strict";var n=require("seed-random"),r=n();function e(e,o,t,d,i){var u;function a(e){u=null===e?r:n(String(e))}return a(o.randomSeed),i.on("config",function(n,r,e){void 0!==e.randomSeed&&a(n.randomSeed)}),function(){return u()}}exports.factory=e,exports.math=!0;
},{"seed-random":"JPVl"}],"pAyZ":[function(require,module,exports) {
"use strict";var r=require("../../error/ArgumentsError"),n=require("../../utils/collection/isCollection"),e=require("../../utils/number").isNumber;function t(t,i,o,a,u){var f=o(require("../../type/matrix/function/matrix")),s=require("../../utils/array"),l=o(require("./seededRNG"));function v(i){if(!h.hasOwnProperty(i))throw new Error("Unknown distribution "+i);var o=Array.prototype.slice.call(arguments,1);return function(i){function o(r,n,i){var o=void 0===n;if(o&&(n=1),t.isMatrix(r))r=r.valueOf();else if(!Array.isArray(r))throw new TypeError("Unsupported type of value in function pickRandom");if(s.size(r).length>1)throw new Error("Only one dimensional vectors supported");var a=0;if(void 0!==i){if(i.length!==r.length)throw new Error("Weights must have the same length as possibles");for(var u=0,f=i.length;u<f;u++){if(!e(i[u])||i[u]<0)throw new Error("Weights must be an array of positive numbers");a+=i[u]}}var v=r.length;if(0===v)return[];if(n>=v)return n>1?r:r[0];for(var h,c=[];c.length<n;){if(void 0===i)h=r[Math.floor(l()*v)];else for(var m=l()*a,y=0,d=r.length;y<d;y++)if((m-=i[y])<0){h=r[y];break}-1===c.indexOf(h)&&c.push(h)}return o?c[0]:c}function u(r,n){return r+i()*(n-r)}function v(r,n){return Math.floor(r+i()*(n-r))}function h(r,n,e,t){var i=[];if((r=r.slice(0)).length>1)for(var o=0,a=r.shift();o<a;o++)i.push(h(r,n,e,t));else for(var u=0,f=r.shift();u<f;u++)i.push(t(n,e));return i}return{random:function(i,o,a){var s,l,v;if(arguments.length>3)throw new r("random",arguments.length,0,3);if(1===arguments.length?n(i)?s=i:v=i:2===arguments.length?n(i)?(s=i,v=o):(l=i,v=o):(s=i,l=o,v=a),void 0!==l&&!e(l)||void 0!==v&&!e(v))throw new TypeError("Invalid argument in function random");if(void 0===v&&(v=1),void 0===l&&(l=0),void 0!==s){var c=h(s.valueOf(),l,v,u);return t.isMatrix(s)?f(c):c}return u(l,v)},randomInt:a({"number | Array":function(r){if(n(r)){var e=r,i=h(e.valueOf(),0,1,v);return t.isMatrix(e)?f(i):i}return v(0,r)},"number | Array, number":function(r,e){if(n(r)){var i=r,o=e,a=h(i.valueOf(),0,o,v);return t.isMatrix(i)?f(a):a}return v(r,e)},"Array, number, number":function(r,n,e){var t=h(r.valueOf(),n,e,v);return r&&!0===r.isMatrix?f(t):t}}),pickRandom:a({Array:function(r){return o(r)},"Array, number | Array":function(r,n){var t,i;if(Array.isArray(n))i=n;else{if(!e(n))throw new TypeError("Invalid argument in function pickRandom");t=n}return o(r,t,i)},"Array, number | Array, Array | number":function(r,n,t){var i,a;if(Array.isArray(n)?(a=n,i=t):(a=t,i=n),!Array.isArray(a)||!e(i))throw new TypeError("Invalid argument in function pickRandom");return o(r,i,a)}})}}(h[i].apply(this,o))}var h={uniform:function(){return l},normal:function(){return function(){for(var r,n,e=-1;e<0||e>1;)r=l(),n=l(),e=1/6*Math.pow(-2*Math.log(r),.5)*Math.cos(2*Math.PI*n)+.5;return e}}};return v.toTex=void 0,v}exports.name="distribution",exports.factory=t;
},{"../../error/ArgumentsError":"h0xI","../../utils/collection/isCollection":"m4c0","../../utils/number":"uqMu","../../type/matrix/function/matrix":"vzj5","../../utils/array":"j2lF","./seededRNG":"qBYF"}],"JMJP":[function(require,module,exports) {
"use strict";function r(r,i,o,t){var e=o(require("./distribution"))("uniform").pickRandom;return e.toTex=void 0,e}exports.name="pickRandom",exports.factory=r;
},{"./distribution":"pAyZ"}],"YT9V":[function(require,module,exports) {
"use strict";function r(r,o,t,e){var i=t(require("./distribution"))("uniform").random;return i.toTex=void 0,i}exports.name="random",exports.factory=r;
},{"./distribution":"pAyZ"}],"Zogd":[function(require,module,exports) {
"use strict";function r(r,t,n,o){var e=n(require("./distribution"))("uniform").randomInt;return e.toTex=void 0,e}exports.name="randomInt",exports.factory=r;
},{"./distribution":"pAyZ"}],"xCRU":[function(require,module,exports) {
"use strict";module.exports=[require("./combinations"),require("./factorial"),require("./gamma"),require("./kldivergence"),require("./multinomial"),require("./permutations"),require("./pickRandom"),require("./random"),require("./randomInt")];
},{"./combinations":"n9b2","./factorial":"yidz","./gamma":"ciea","./kldivergence":"CGIk","./multinomial":"kuKA","./permutations":"IUt2","./pickRandom":"JMJP","./random":"YT9V","./randomInt":"Zogd"}],"eVLO":[function(require,module,exports) {
"use strict";function r(r,t,e,n){var i=e(require("../../type/matrix/function/matrix")),a=e(require("../utils/typeof")),u=e(require("../../type/matrix/utils/algorithm13")),o=e(require("../../type/matrix/utils/algorithm14")),c=n("compareText",{"any, any":x,"DenseMatrix, DenseMatrix":function(r,t){return u(r,t,x)},"Array, Array":function(r,t){return c(i(r),i(t)).valueOf()},"Array, Matrix":function(r,t){return c(i(r),t)},"Matrix, Array":function(r,t){return c(r,i(t))},"DenseMatrix, any":function(r,t){return o(r,t,x,!1)},"any, DenseMatrix":function(r,t){return o(t,r,x,!0)},"Array, any":function(r,t){return o(i(r),t,x,!1).valueOf()},"any, Array":function(r,t){return o(i(t),r,x,!0).valueOf()}});function x(t,e){if(!r.isString(t))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+a(t)+", index: 0)");if(!r.isString(e))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+a(e)+", index: 1)");return t===e?0:t>e?1:-1}return c.toTex=void 0,c}exports.name="compareText",exports.factory=r;
},{"../../type/matrix/function/matrix":"vzj5","../utils/typeof":"LZTG","../../type/matrix/utils/algorithm13":"NS7U","../../type/matrix/utils/algorithm14":"S2eB"}],"qExK":[function(require,module,exports) {
"use strict";function r(r,e,a,n){var t=a(require("./equal")),u=n("deepEqual",{"any, any":function(r,e){return function r(e,a){if(Array.isArray(e)){if(Array.isArray(a)){var n=e.length;if(n!==a.length)return!1;for(var u=0;u<n;u++)if(!r(e[u],a[u]))return!1;return!0}return!1}return!Array.isArray(a)&&t(e,a)}(r.valueOf(),e.valueOf())}});return u.toTex=void 0,u}exports.name="deepEqual",exports.factory=r;
},{"./equal":"IviB"}],"c7Nt":[function(require,module,exports) {
"use strict";function e(e,r,t,u){var n=t(require("./compareText")),o=t(require("../utils/isZero")),a=u("equalText",{"any, any":function(e,r){return o(n(e,r))}});return a.toTex=void 0,a}exports.name="equalText",exports.factory=e;
},{"./compareText":"eVLO","../utils/isZero":"geyZ"}],"IR2w":[function(require,module,exports) {
"use strict";module.exports=[require("./compare"),require("./compareNatural"),require("./compareText"),require("./deepEqual"),require("./equal"),require("./equalText"),require("./larger"),require("./largerEq"),require("./smaller"),require("./smallerEq"),require("./unequal")];
},{"./compare":"yGce","./compareNatural":"ljuJ","./compareText":"eVLO","./deepEqual":"qExK","./equal":"IviB","./equalText":"c7Nt","./larger":"SrDl","./largerEq":"d923","./smaller":"Q7ag","./smallerEq":"rN68","./unequal":"npE3"}],"UZAG":[function(require,module,exports) {
"use strict";var r=require("../../utils/array").flatten;function a(a,e,t,i){var s=t(require("../../type/matrix/MatrixIndex")),n=t(require("../../type/matrix/DenseMatrix")),y=t(require("../matrix/size")),u=t(require("../matrix/subset")),o=t(require("../relational/compareNatural"));return i("setCartesian",{"Array | Matrix, Array | Matrix":function(a,e){var t=[];if(0!==u(y(a),new s(0))&&0!==u(y(e),new s(0))){var i=r(Array.isArray(a)?a:a.toArray()).sort(o),A=r(Array.isArray(e)?e:e.toArray()).sort(o);t=[];for(var x=0;x<i.length;x++)for(var f=0;f<A.length;f++)t.push([i[x],A[f]])}return Array.isArray(a)&&Array.isArray(e)?t:new n(t)}})}exports.name="setCartesian",exports.factory=a;
},{"../../utils/array":"j2lF","../../type/matrix/MatrixIndex":"SL3U","../../type/matrix/DenseMatrix":"bZ8L","../matrix/size":"OqDc","../matrix/subset":"ZWbZ","../relational/compareNatural":"ljuJ"}],"wktc":[function(require,module,exports) {
"use strict";var r=require("../../utils/array").flatten,e=require("../../utils/array").identify,a=require("../../utils/array").generalize;function i(i,t,n,u){var s=n(require("../../type/matrix/MatrixIndex")),y=n(require("../../type/matrix/DenseMatrix")),f=n(require("../matrix/size")),o=n(require("../matrix/subset")),l=n(require("../relational/compareNatural"));return u("setDifference",{"Array | Matrix, Array | Matrix":function(i,t){var n;if(0===o(f(i),new s(0)))n=[];else{if(0===o(f(t),new s(0)))return r(i.toArray());var u,A=e(r(Array.isArray(i)?i:i.toArray()).sort(l)),x=e(r(Array.isArray(t)?t:t.toArray()).sort(l));n=[];for(var q=0;q<A.length;q++){u=!1;for(var v=0;v<x.length;v++)if(0===l(A[q].value,x[v].value)&&A[q].identifier===x[v].identifier){u=!0;break}u||n.push(A[q])}}return Array.isArray(i)&&Array.isArray(t)?a(n):new y(a(n))}})}exports.name="setDifference",exports.factory=i;
},{"../../utils/array":"j2lF","../../type/matrix/MatrixIndex":"SL3U","../../type/matrix/DenseMatrix":"bZ8L","../matrix/size":"OqDc","../matrix/subset":"ZWbZ","../relational/compareNatural":"ljuJ"}],"mVYy":[function(require,module,exports) {
"use strict";var r=require("../../utils/array").flatten;function e(e,t,a,i){var s=a(require("../../type/matrix/MatrixIndex")),n=a(require("../../type/matrix/DenseMatrix")),u=a(require("../matrix/size")),o=a(require("../matrix/subset")),x=a(require("../relational/compareNatural"));return i("setDistinct",{"Array | Matrix":function(e){var t;if(0===o(u(e),new s(0)))t=[];else{var a=r(Array.isArray(e)?e:e.toArray()).sort(x);(t=[]).push(a[0]);for(var i=1;i<a.length;i++)0!==x(a[i],a[i-1])&&t.push(a[i])}return Array.isArray(e)?t:new n(t)}})}exports.name="setDistinct",exports.factory=e;
},{"../../utils/array":"j2lF","../../type/matrix/MatrixIndex":"SL3U","../../type/matrix/DenseMatrix":"bZ8L","../matrix/size":"OqDc","../matrix/subset":"ZWbZ","../relational/compareNatural":"ljuJ"}],"XVUf":[function(require,module,exports) {
"use strict";var r=require("../../utils/array").flatten,e=require("../../utils/array").identify,a=require("../../utils/array").generalize;function t(t,i,s,n){var u=s(require("../../type/matrix/MatrixIndex")),y=s(require("../../type/matrix/DenseMatrix")),l=s(require("../matrix/size")),o=s(require("../matrix/subset")),A=s(require("../relational/compareNatural"));return n("setIntersect",{"Array | Matrix, Array | Matrix":function(t,i){var s;if(0===o(l(t),new u(0))||0===o(l(i),new u(0)))s=[];else{var n=e(r(Array.isArray(t)?t:t.toArray()).sort(A)),f=e(r(Array.isArray(i)?i:i.toArray()).sort(A));s=[];for(var x=0;x<n.length;x++)for(var q=0;q<f.length;q++)if(0===A(n[x].value,f[q].value)&&n[x].identifier===f[q].identifier){s.push(n[x]);break}}return Array.isArray(t)&&Array.isArray(i)?a(s):new y(a(s))}})}exports.name="setIntersect",exports.factory=t;
},{"../../utils/array":"j2lF","../../type/matrix/MatrixIndex":"SL3U","../../type/matrix/DenseMatrix":"bZ8L","../matrix/size":"OqDc","../matrix/subset":"ZWbZ","../relational/compareNatural":"ljuJ"}],"EFhD":[function(require,module,exports) {
"use strict";var r=require("../../utils/array").flatten,e=require("../../utils/array").identify;function t(t,a,i,u){var n=i(require("../../type/matrix/MatrixIndex")),s=i(require("../matrix/size")),f=i(require("../matrix/subset")),o=i(require("../relational/compareNatural"));return u("setIsSubset",{"Array | Matrix, Array | Matrix":function(t,a){if(0===f(s(t),new n(0)))return!0;if(0===f(s(a),new n(0)))return!1;for(var i,u=e(r(Array.isArray(t)?t:t.toArray()).sort(o)),y=e(r(Array.isArray(a)?a:a.toArray()).sort(o)),l=0;l<u.length;l++){i=!1;for(var x=0;x<y.length;x++)if(0===o(u[l].value,y[x].value)&&u[l].identifier===y[x].identifier){i=!0;break}if(!1===i)return!1}return!0}})}exports.name="setIsSubset",exports.factory=t;
},{"../../utils/array":"j2lF","../../type/matrix/MatrixIndex":"SL3U","../matrix/size":"OqDc","../matrix/subset":"ZWbZ","../relational/compareNatural":"ljuJ"}],"B2m3":[function(require,module,exports) {
"use strict";var r=require("../../utils/array").flatten;function e(e,t,i,a){var u=i(require("../relational/compareNatural")),n=i(require("../../type/matrix/MatrixIndex")),l=i(require("../matrix/size")),o=i(require("../matrix/subset"));return a("setMultiplicity",{"number | BigNumber | Fraction | Complex, Array | Matrix":function(e,t){if(0===o(l(t),new n(0)))return 0;for(var i=r(Array.isArray(t)?t:t.toArray()),a=0,s=0;s<i.length;s++)0===u(i[s],e)&&a++;return a}})}exports.name="setMultiplicity",exports.factory=e;
},{"../../utils/array":"j2lF","../relational/compareNatural":"ljuJ","../../type/matrix/MatrixIndex":"SL3U","../matrix/size":"OqDc","../matrix/subset":"ZWbZ"}],"RB1b":[function(require,module,exports) {
"use strict";var r=require("../../utils/array").flatten;function t(t,e,n,a){var i=n(require("../../type/matrix/MatrixIndex")),u=n(require("../matrix/size")),o=n(require("../matrix/subset")),s=n(require("../relational/compareNatural"));return a("setPowerset",{"Array | Matrix":function(t){if(0===o(u(t),new i(0)))return[];for(var e=r(Array.isArray(t)?t:t.toArray()).sort(s),n=[],a=0;a.toString(2).length<=e.length;)n.push(l(e,a.toString(2).split("").reverse())),a++;return function(r){for(var t=[],e=r.length-1;e>0;e--)for(var n=0;n<e;n++)r[n].length>r[n+1].length&&(t=r[n],r[n]=r[n+1],r[n+1]=t);return r}(n)}});function l(r,t){for(var e=[],n=0;n<t.length;n++)"1"===t[n]&&e.push(r[n]);return e}}exports.name="setPowerset",exports.factory=t;
},{"../../utils/array":"j2lF","../../type/matrix/MatrixIndex":"SL3U","../matrix/size":"OqDc","../matrix/subset":"ZWbZ","../relational/compareNatural":"ljuJ"}],"St3b":[function(require,module,exports) {
"use strict";var r=require("../../utils/array").flatten;function t(t,a,e,n){var i=e(require("../relational/compareNatural"));return n("setSize",{"Array | Matrix":function(t){return Array.isArray(t)?r(t).length:r(t.toArray()).length},"Array | Matrix, boolean":function(t,a){if(!1===a||0===t.length)return Array.isArray(t)?r(t).length:r(t.toArray()).length;for(var e=r(Array.isArray(t)?t:t.toArray()).sort(i),n=1,o=1;o<e.length;o++)0!==i(e[o],e[o-1])&&n++;return n}})}exports.name="setSize",exports.factory=t;
},{"../../utils/array":"j2lF","../relational/compareNatural":"ljuJ"}],"XYAW":[function(require,module,exports) {
"use strict";var r=require("../../utils/array").flatten;function e(e,t,i,a){var n=i(require("../../type/matrix/MatrixIndex")),u=i(require("../matrix/concat")),f=i(require("../matrix/size")),s=i(require("../matrix/subset")),x=i(require("../set/setDifference"));return a("setSymDifference",{"Array | Matrix, Array | Matrix":function(e,t){if(0===s(f(e),new n(0)))return r(t);if(0===s(f(t),new n(0)))return r(e);var i=r(e),a=r(t);return u(x(i,a),x(a,i))}})}exports.name="setSymDifference",exports.factory=e;
},{"../../utils/array":"j2lF","../../type/matrix/MatrixIndex":"SL3U","../matrix/concat":"LXdZ","../matrix/size":"OqDc","../matrix/subset":"ZWbZ","../set/setDifference":"wktc"}],"LJzh":[function(require,module,exports) {
"use strict";var r=require("../../utils/array").flatten;function e(e,t,i,n){var a=i(require("../../type/matrix/MatrixIndex")),u=i(require("../matrix/concat")),s=i(require("../matrix/size")),x=i(require("../matrix/subset")),c=i(require("../set/setIntersect")),f=i(require("../set/setSymDifference"));return n("setUnion",{"Array | Matrix, Array | Matrix":function(e,t){if(0===x(s(e),new a(0)))return r(t);if(0===x(s(t),new a(0)))return r(e);var i=r(e),n=r(t);return u(f(i,n),c(i,n))}})}exports.name="setUnion",exports.factory=e;
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"use strict";module.exports=[require("./setCartesian"),require("./setDifference"),require("./setDistinct"),require("./setIntersect"),require("./setIsSubset"),require("./setMultiplicity"),require("./setPowerset"),require("./setSize"),require("./setSymDifference"),require("./setUnion")];
},{"./setCartesian":"UZAG","./setDifference":"wktc","./setDistinct":"mVYy","./setIntersect":"XVUf","./setIsSubset":"EFhD","./setMultiplicity":"B2m3","./setPowerset":"RB1b","./setSize":"St3b","./setSymDifference":"XYAW","./setUnion":"LJzh"}],"eibQ":[function(require,module,exports) {
"use strict";var r=require("../../utils/collection/deepMap"),e=require("../../utils/number").sign;function t(t,f,c,p){var s=p("erf",{number:function(r){var t=Math.abs(r);return t>=o?e(r):t<=n?e(r)*function(r){var e,t=r*r,n=u[0][4]*t,a=t;for(e=0;e<3;e+=1)n=(n+u[0][e])*t,a=(a+i[0][e])*t;return r*(n+u[0][3])/(a+i[0][3])}(t):t<=4?e(r)*(1-function(r){var e,t=u[1][8]*r,n=r;for(e=0;e<7;e+=1)t=(t+u[1][e])*r,n=(n+i[1][e])*r;var a=(t+u[1][7])/(n+i[1][7]),o=parseInt(16*r)/16,f=(r-o)*(r+o);return Math.exp(-o*o)*Math.exp(-f)*a}(t)):e(r)*(1-function(r){var e,t=1/(r*r),n=u[2][5]*t,o=t;for(e=0;e<4;e+=1)n=(n+u[2][e])*t,o=(o+i[2][e])*t;var f=t*(n+u[2][4])/(o+i[2][4]);f=(a-f)/r,t=parseInt(16*r)/16;var c=(r-t)*(r+t);return Math.exp(-t*t)*Math.exp(-c)*f}(t))},BigNumber:function(r){return new t.BigNumber(s(r.toNumber()))},"Array | Matrix":function(e){return r(e,s)}});return s.toTex={1:"erf\\left(${args[0]}\\right)"},s}var n=.46875,a=.5641895835477563,u=[[3.1611237438705655,113.86415415105016,377.485237685302,3209.3775891384694,.18577770618460315],[.5641884969886701,8.883149794388377,66.11919063714163,298.6351381974001,881.952221241769,1712.0476126340707,2051.0783778260716,1230.3393547979972,2.1531153547440383e-8],[.30532663496123236,.36034489994980445,.12578172611122926,.016083785148742275,.0006587491615298378,.016315387137302097]],i=[[23.601290952344122,244.02463793444417,1282.6165260773723,2844.236833439171],[15.744926110709835,117.6939508913125,537.1811018620099,1621.3895745666903,3290.7992357334597,4362.619090143247,3439.3676741437216,1230.3393548037495],[2.568520192289822,1.8729528499234604,.5279051029514285,.06051834131244132,.0023352049762686918]],o=Math.pow(2,53);exports.name="erf",exports.factory=t;
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"use strict";module.exports=[require("./erf")];
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"use strict";var r=require("../../utils/array").flatten,e=require("../../utils/collection/containsCollections");function t(t,i,n,a){var o=n(require("../arithmetic/addScalar")),u=n(require("../arithmetic/divideScalar")),c=n(require("../relational/compare")),m=n(require("../matrix/partitionSelect")),l=n(require("./utils/improveErrorMessage")),f=a("median",{"Array | Matrix":d,"Array | Matrix, number | BigNumber":function(r,e){throw new Error("median(A, dim) is not yet supported")},"...":function(r){if(e(r))throw new TypeError("Scalar values expected in function median");return d(r)}});function d(e){try{var t=(e=r(e.valueOf())).length;if(0===t)throw new Error("Cannot calculate median of an empty array");if(t%2==0){for(var i=t/2-1,n=m(e,i+1),a=e[i],o=0;o<i;++o)c(e[o],a)>0&&(a=e[o]);return p(a,n)}var u=m(e,(t-1)/2);return s(u)}catch(f){throw l(f,"median")}}var s=a({"number | BigNumber | Complex | Unit":function(r){return r}}),p=a({"number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit":function(r,e){return u(o(r,e),2)}});return f.toTex=void 0,f}exports.name="median",exports.factory=t;
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"use strict";function r(r,e,t,a){var i=t(require("../arithmetic/sqrt")),n=t(require("../statistics/var")),s=a("std",{"Array | Matrix":o,"Array | Matrix, string":o,"Array | Matrix, number | BigNumber":o,"Array | Matrix, number | BigNumber, string":o,"...":function(r){return o(r)}});return s.toTex=void 0,s;function o(r,e){if(0===r.length)throw new SyntaxError("Function std requires one or more parameters (0 provided)");try{return i(n.apply(null,arguments))}catch(t){throw t instanceof TypeError&&-1!==t.message.indexOf(" var")?new TypeError(t.message.replace(" var"," std")):t}}}exports.name="std",exports.factory=r;
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"use strict";module.exports=[require("./mad"),require("./max"),require("./mean"),require("./median"),require("./min"),require("./mode"),require("./prod"),require("./quantileSeq"),require("./std"),require("./sum"),require("./var")];
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"use strict";var r=require("../../utils/string").isString,t=require("../../utils/string").format;function i(r,t,i,n){var s=n("print",{"string, Object | Array":e,"string, Object | Array, number | Object":e});return s.toTex=void 0,s}function e(i,e,n){return i.replace(/\$([\w.]+)/g,function(i,s){for(var o=s.split("."),u=e[o.shift()];o.length&&void 0!==u;){var a=o.shift();u=a?u[a]:u+"."}return void 0!==u?r(u)?u:t(u,n):i})}exports.name="print",exports.factory=i;
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"use strict";module.exports=[require("./format"),require("./print")];
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"use strict";var t=require("../../utils/collection/deepMap");function r(r,e,n,a){var o=a("acot",{number:function(t){return Math.atan(1/t)},Complex:function(t){return t.acot()},BigNumber:function(t){return new r.BigNumber(1).div(t).atan()},"Array | Matrix":function(r){return t(r,o)}});return o.toTex={1:"\\cot^{-1}\\left(${args[0]}\\right)"},o}exports.name="acot",exports.factory=r;
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"use strict";var t=require("../../utils/collection/deepMap");function r(r,e,n,o){var i=o("acoth",{number:function(t){return t>=1||t<=-1||e.predictable?isFinite(t)?(Math.log((t+1)/t)+Math.log(t/(t-1)))/2:0:new r.Complex(t,0).acoth()},Complex:function(t){return t.acoth()},BigNumber:function(t){return new r.BigNumber(1).div(t).atanh()},"Array | Matrix":function(r){return t(r,i)}});return i.toTex={1:"\\coth^{-1}\\left(${args[0]}\\right)"},i}exports.name="acoth",exports.factory=r;
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"use strict";var n=require("../../utils/collection/deepMap");function t(t,r,e,a){var i=a("tan",{number:Math.tan,Complex:function(n){return n.tan()},BigNumber:function(n){return n.tan()},Unit:function(n){if(!n.hasBase(t.Unit.BASE_UNITS.ANGLE))throw new TypeError("Unit in function tan is no angle");return i(n.value)},"Array | Matrix":function(t){return n(t,i,!0)}});return i.toTex={1:"\\tan\\left(${args[0]}\\right)"},i}exports.name="tan",exports.factory=t;
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"use strict";function r(r,e,t,u){var n=t(require("./isNumeric"));return u("hasNumericValue",{string:function(r){return r.trim().length>0&&!isNaN(Number(r))},any:function(r){return n(r)}})}exports.name="hasNumericValue",exports.factory=r;
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"use strict";module.exports={name:"bignumber",category:"Construction",syntax:["bignumber(x)"],description:"Create a big number from a number or string.",examples:["0.1 + 0.2","bignumber(0.1) + bignumber(0.2)",'bignumber("7.2")','bignumber("7.2e500")',"bignumber([0.1, 0.2, 0.3])"],seealso:["boolean","complex","fraction","index","matrix","string","unit"]};
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"use strict";module.exports={name:"boolean",category:"Construction",syntax:["x","boolean(x)"],description:"Convert a string or number into a boolean.",examples:["boolean(0)","boolean(1)","boolean(3)",'boolean("true")','boolean("false")',"boolean([1, 0, 1, 1])"],seealso:["bignumber","complex","index","matrix","number","string","unit"]};
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"use strict";module.exports={name:"complex",category:"Construction",syntax:["complex()","complex(re, im)","complex(string)"],description:"Create a complex number.",examples:["complex()","complex(2, 3)",'complex("7 - 2i")'],seealso:["bignumber","boolean","index","matrix","number","string","unit"]};
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"use strict";module.exports={name:"createUnit",category:"Construction",syntax:["createUnit(definitions)","createUnit(name, definition)"],description:"Create a user-defined unit and register it with the Unit type.",examples:['createUnit("foo")','createUnit("knot", {definition: "0.514444444 m/s", aliases: ["knots", "kt", "kts"]})','createUnit("mph", "1 mile/hour")'],seealso:["unit","splitUnit"]};
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"use strict";module.exports={name:"fraction",category:"Construction",syntax:["fraction(num)","fraction(num,den)"],description:"Create a fraction from a number or from a numerator and denominator.",examples:["fraction(0.125)","fraction(1, 3) + fraction(2, 5)"],seealso:["bignumber","boolean","complex","index","matrix","string","unit"]};
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"use strict";module.exports={name:"index",category:"Construction",syntax:["[start]","[start:end]","[start:step:end]","[start1, start 2, ...]","[start1:end1, start2:end2, ...]","[start1:step1:end1, start2:step2:end2, ...]"],description:"Create an index to get or replace a subset of a matrix",examples:["[]","[1, 2, 3]","A = [1, 2, 3; 4, 5, 6]","A[1, :]","A[1, 2] = 50","A[0:2, 0:2] = ones(2, 2)"],seealso:["bignumber","boolean","complex","matrix,","number","range","string","unit"]};
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"use strict";module.exports={name:"matrix",category:"Construction",syntax:["[]","[a1, b1, ...; a2, b2, ...]","matrix()",'matrix("dense")',"matrix([...])"],description:"Create a matrix.",examples:["[]","[1, 2, 3]","[1, 2, 3; 4, 5, 6]","matrix()","matrix([3, 4])",'matrix([3, 4; 5, 6], "sparse")','matrix([3, 4; 5, 6], "sparse", "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","sparse"]};
},{}],"a1WX":[function(require,module,exports) {
"use strict";module.exports={name:"number",category:"Construction",syntax:["x","number(x)","number(unit, valuelessUnit)"],description:"Create a number or convert a string or boolean into a number.",examples:["2","2e3","4.05","number(2)",'number("7.2")',"number(true)","number([true, false, true, true])",'number(unit("52cm"), "m")'],seealso:["bignumber","boolean","complex","fraction","index","matrix","string","unit"]};
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"use strict";module.exports={name:"sparse",category:"Construction",syntax:["sparse()","sparse([a1, b1, ...; a1, b2, ...])",'sparse([a1, b1, ...; a1, b2, ...], "number")'],description:"Create a sparse matrix.",examples:["sparse()","sparse([3, 4; 5, 6])",'sparse([3, 0; 5, 0], "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","matrix"]};
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"use strict";module.exports={name:"splitUnit",category:"Construction",syntax:["splitUnit(unit: Unit, parts: Unit[])"],description:"Split a unit in an array of units whose sum is equal to the original unit.",examples:['splitUnit(1 m, ["feet", "inch"])'],seealso:["unit","createUnit"]};
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"use strict";module.exports={name:"string",category:"Construction",syntax:['"text"',"string(x)"],description:"Create a string or convert a value to a string",examples:['"Hello World!"',"string(4.2)","string(3 + 2i)"],seealso:["bignumber","boolean","complex","index","matrix","number","unit"]};
},{}],"x7uc":[function(require,module,exports) {
"use strict";module.exports={name:"unit",category:"Construction",syntax:["value unit","unit(value, unit)","unit(string)"],description:"Create a unit.",examples:["5.5 mm","3 inch",'unit(7.1, "kilogram")','unit("23 deg")'],seealso:["bignumber","boolean","complex","index","matrix","number","string"]};
},{}],"MQ99":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"T9NB":[function(require,module,exports) {
"use strict";module.exports={name:"false",category:"Constants",syntax:["false"],description:"Boolean value false",examples:["false"],seealso:["true"]};
},{}],"aPHB":[function(require,module,exports) {
"use strict";module.exports={name:"i",category:"Constants",syntax:["i"],description:"Imaginary unit, defined as i*i=-1. A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.",examples:["i","i * i","sqrt(-1)"],seealso:[]};
},{}],"QQb5":[function(require,module,exports) {
"use strict";module.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:[]};
},{}],"aXGR":[function(require,module,exports) {
"use strict";module.exports={name:"LN2",category:"Constants",syntax:["LN2"],description:"Returns the natural logarithm of 2, approximately equal to 0.693",examples:["LN2","log(2)"],seealso:[]};
},{}],"ONCS":[function(require,module,exports) {
"use strict";module.exports={name:"LN10",category:"Constants",syntax:["LN10"],description:"Returns the natural logarithm of 10, approximately equal to 2.302",examples:["LN10","log(10)"],seealso:[]};
},{}],"l03h":[function(require,module,exports) {
"use strict";module.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:[]};
},{}],"IwW2":[function(require,module,exports) {
"use strict";module.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:[]};
},{}],"sLjM":[function(require,module,exports) {
"use strict";module.exports={name:"NaN",category:"Constants",syntax:["NaN"],description:"Not a number",examples:["NaN","0 / 0"],seealso:[]};
},{}],"lowc":[function(require,module,exports) {
"use strict";module.exports={name:"null",category:"Constants",syntax:["null"],description:"Value null",examples:["null"],seealso:["true","false"]};
},{}],"HJY8":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"jcFy":[function(require,module,exports) {
"use strict";module.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:["phi"],seealso:[]};
},{}],"fDHA":[function(require,module,exports) {
"use strict";module.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:[]};
},{}],"yYpy":[function(require,module,exports) {
"use strict";module.exports={name:"SQRT2",category:"Constants",syntax:["SQRT2"],description:"Returns the square root of 2, approximately equal to 1.414",examples:["SQRT2","sqrt(2)"],seealso:[]};
},{}],"aQgJ":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"n6zq":[function(require,module,exports) {
"use strict";module.exports={name:"true",category:"Constants",syntax:["true"],description:"Boolean value true",examples:["true"],seealso:["false"]};
},{}],"CPzZ":[function(require,module,exports) {
"use strict";module.exports={name:"version",category:"Constants",syntax:["version"],description:"A string with the version number of math.js",examples:["version"],seealso:[]};
},{}],"HjBS":[function(require,module,exports) {
"use strict";module.exports={name:"derivative",category:"Algebra",syntax:["derivative(expr, variable)","derivative(expr, variable, {simplify: boolean})"],description:"Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.",examples:['derivative("2x^3", "x")','derivative("2x^3", "x", {simplify: false})','derivative("2x^2 + 3x + 4", "x")','derivative("sin(2x)", "x")','f = parse("x^2 + x")','x = parse("x")',"df = derivative(f, x)","df.eval({x: 3})"],seealso:["simplify","parse","eval"]};
},{}],"OFzm":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"SsYr":[function(require,module,exports) {
"use strict";module.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","qr"]};
},{}],"F1Dh":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"yWjE":[function(require,module,exports) {
"use strict";module.exports={name:"simplify",category:"Algebra",syntax:["simplify(expr)","simplify(expr, rules)"],description:"Simplify an expression tree.",examples:['simplify("3 + 2 / 4")','simplify("2x + x")','f = parse("x * (x + 2 + x)")',"simplified = simplify(f)","simplified.eval({x: 2})"],seealso:["derivative","parse","eval"]};
},{}],"xCNe":[function(require,module,exports) {
"use strict";module.exports={name:"rationalize",category:"Algebra",syntax:["rationalize(expr)","rationalize(expr, scope)","rationalize(expr, scope, detailed)"],description:"Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.",examples:['rationalize("2x/y - y/(x+1)")','rationalize("2x/y - y/(x+1)", true)'],seealso:["simplify"]};
},{}],"h0vC":[function(require,module,exports) {
"use strict";module.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","qr"]};
},{}],"RXlV":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"rUq2":[function(require,module,exports) {
"use strict";module.exports={name:"qr",category:"Algebra",syntax:["qr(A)"],description:"Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.",examples:["qr([[1, -1,  4], [1,  4, -2], [1,  4,  2], [1,  -1, 0]])"],seealso:["lup","slu","matrix"]};
},{}],"XkjO":[function(require,module,exports) {
"use strict";module.exports={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]};
},{}],"k4Wb":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"aoF1":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"z4It":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"ruVI":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"sbSk":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"hr3Z":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"p0XP":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"HDd7":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"y0AC":[function(require,module,exports) {
"use strict";module.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(i*x) == cos(x) + i*sin(x))   # Euler's formula"],seealso:["expm","expm1","pow","log"]};
},{}],"iddg":[function(require,module,exports) {
"use strict";module.exports={name:"expm",category:"Arithmetic",syntax:["exp(x)"],description:"Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.",examples:["expm([[0,2],[0,0]])"],seealso:["exp"]};
},{}],"pk0d":[function(require,module,exports) {
"use strict";module.exports={name:"expm1",category:"Arithmetic",syntax:["expm1(x)"],description:"Calculate the value of subtracting 1 from the exponential value.",examples:["expm1(2)","pow(e, 2) - 1","log(expm1(2) + 1)"],seealso:["exp","pow","log"]};
},{}],"WGIH":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"vXNc":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"dwcd":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"Vx3c":[function(require,module,exports) {
"use strict";module.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"]};
},{}],"gaE4":[function(require,module,exports) {
"use strict";module.exports={name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]};
},{}],"vbjs":[function(require,module,exports) {
"use strict";module.exports={name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 4","log(10000, 10)","log(10000) / log(10)","b = log(1024, 2)","2 ^ b"],seealso:["exp","log1p","log2","log10"]};
},{}],"XIlx":[function(require,module,exports) {
"use strict";module.exports={name:"log2",category:"Arithmetic",syntax:["log2(x)"],description:"Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.",examples:["log2(0.03125)","log2(16)","log2(16) / log2(2)","pow(2, 4)"],seealso:["exp","log1p","log","log10"]};
},{}],"WGSj":[function(require,module,exports) {
"use strict";module.exports={name:"log1p",category:"Arithmetic",syntax:["log1p(x)","log1p(x, base)"],description:"Calculate the logarithm of a `value+1`",examples:["log1p(2.5)","exp(log1p(1.4))","pow(10, 4)","log1p(9999, 10)","log1p(9999) / log(10)"],seealso:["exp","log","log2","log10"]};
},{}],"qxOp":[function(require,module,exports) {
"use strict";module.exports={name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(0.00001)","log10(10000)","10 ^ 4","log(10000) / log(10)","log(10000, 10)"],seealso:["exp","log"]};
},{}],"WNo3":[function(require,module,exports) {
"use strict";module.exports={name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:["divide"]};
},{}],"rG0J":[function(require,module,exports) {
"use strict";module.exports={name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["a = 2.1 * 3.4","a / 3.4","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]};
},{}],"av88":[function(require,module,exports) {
"use strict";module.exports={name:"norm",category:"Arithmetic",syntax:["norm(x)","norm(x, p)"],description:"Calculate the norm of a number, vector or matrix.",examples:["abs(-3.5)","norm(-3.5)","norm(3 - 4i)","norm([1, 2, -3], Infinity)","norm([1, 2, -3], -Infinity)","norm([3, 4], 2)","norm([[1, 2], [3, 4]], 1)",'norm([[1, 2], [3, 4]], "inf")','norm([[1, 2], [3, 4]], "fro")']};
},{}],"tPWr":[function(require,module,exports) {
"use strict";module.exports={name:"nthRoot",category:"Arithmetic",syntax:["nthRoot(a)","nthRoot(a, root)"],description:'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".',examples:["4 ^ 3","nthRoot(64, 3)","nthRoot(9, 2)","sqrt(9)"],seealso:["nthRoots","pow","sqrt"]};
},{}],"Hwjx":[function(require,module,exports) {
"use strict";module.exports={name:"nthRoots",category:"Arithmetic",syntax:["nthRoots(A)","nthRoots(A, root)"],description:'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.',examples:["nthRoots(1)","nthRoots(1, 3)"],seealso:["sqrt","pow","nthRoot"]};
},{}],"RTne":[function(require,module,exports) {
"use strict";module.exports={name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3","2*2*2","1 + e ^ (pi * i)"],seealso:["multiply","nthRoot","nthRoots","sqrt"]};
},{}],"ayTa":[function(require,module,exports) {
"use strict";module.exports={name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)"],description:"round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)"],seealso:["ceil","floor","fix"]};
},{}],"HnEg":[function(require,module,exports) {
"use strict";module.exports={name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]};
},{}],"uX7J":[function(require,module,exports) {
"use strict";module.exports={name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","sqrtm","multiply","nthRoot","nthRoots","pow"]};
},{}],"MaXS":[function(require,module,exports) {
"use strict";module.exports={name:"sqrtm",category:"Arithmetic",syntax:["sqrtm(x)"],description:"Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.",examples:["sqrtm([[1, 2], [3, 4]])"],seealso:["sqrt","abs","square","multiply"]};
},{}],"wa24":[function(require,module,exports) {
"use strict";module.exports={name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]};
},{}],"IpJ1":[function(require,module,exports) {
"use strict";module.exports={name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["a = 5.3 - 2","a + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]};
},{}],"zSOc":[function(require,module,exports) {
"use strict";module.exports={name:"unaryMinus",category:"Operators",syntax:["-x","unaryMinus(x)"],description:"Inverse the sign of a value. Converts booleans and strings to numbers.",examples:["-4.5","-(-5.6)",'-"22"'],seealso:["add","subtract","unaryPlus"]};
},{}],"hWWr":[function(require,module,exports) {
"use strict";module.exports={name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]};
},{}],"LePI":[function(require,module,exports) {
"use strict";module.exports={name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]};
},{}],"cry4":[function(require,module,exports) {
"use strict";module.exports={name:"bitAnd",category:"Bitwise",syntax:["x & y","bitAnd(x, y)"],description:"Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0",examples:["5 & 3","bitAnd(53, 131)","[1, 12, 31] & 42"],seealso:["bitNot","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]};
},{}],"HcKC":[function(require,module,exports) {
"use strict";module.exports={name:"bitNot",category:"Bitwise",syntax:["~x","bitNot(x)"],description:"Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.",examples:["~1","~2","bitNot([2, -3, 4])"],seealso:["bitAnd","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]};
},{}],"ujKO":[function(require,module,exports) {
"use strict";module.exports={name:"bitOr",category:"Bitwise",syntax:["x | y","bitOr(x, y)"],description:"Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.",examples:["5 | 3","bitOr([1, 2, 3], 4)"],seealso:["bitAnd","bitNot","bitXor","leftShift","rightArithShift","rightLogShift"]};
},{}],"WecP":[function(require,module,exports) {
"use strict";module.exports={name:"bitXor",category:"Bitwise",syntax:["bitXor(x, y)"],description:"Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.",examples:["bitOr(1, 2)","bitXor([2, 3, 4], 4)"],seealso:["bitAnd","bitNot","bitOr","leftShift","rightArithShift","rightLogShift"]};
},{}],"T9yh":[function(require,module,exports) {
"use strict";module.exports={name:"leftShift",category:"Bitwise",syntax:["x << y","leftShift(x, y)"],description:"Bitwise left logical shift of a value x by y number of bits.",examples:["4 << 1","8 >> 1"],seealso:["bitAnd","bitNot","bitOr","bitXor","rightArithShift","rightLogShift"]};
},{}],"ZNwk":[function(require,module,exports) {
"use strict";module.exports={name:"rightArithShift",category:"Bitwise",syntax:["x >> y","rightArithShift(x, y)"],description:"Bitwise right arithmetic shift of a value x by y number of bits.",examples:["8 >> 1","4 << 1","-12 >> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightLogShift"]};
},{}],"XUC6":[function(require,module,exports) {
"use strict";module.exports={name:"rightLogShift",category:"Bitwise",syntax:["x >>> y","rightLogShift(x, y)"],description:"Bitwise right logical shift of a value x by y number of bits.",examples:["8 >>> 1","4 << 1","-12 >>> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightArithShift"]};
},{}],"a5Km":[function(require,module,exports) {
"use strict";module.exports={name:"bellNumbers",category:"Combinatorics",syntax:["bellNumbers(n)"],description:"The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["bellNumbers(3)","bellNumbers(8)"],seealso:["stirlingS2"]};
},{}],"gEl1":[function(require,module,exports) {
"use strict";module.exports={name:"catalan",category:"Combinatorics",syntax:["catalan(n)"],description:"The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["catalan(3)","catalan(8)"],seealso:["bellNumbers"]};
},{}],"oDTX":[function(require,module,exports) {
"use strict";module.exports={name:"composition",category:"Combinatorics",syntax:["composition(n, k)"],description:"The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.",examples:["composition(5, 3)"],seealso:["combinations"]};
},{}],"sdgX":[function(require,module,exports) {
"use strict";module.exports={name:"stirlingS2",category:"Combinatorics",syntax:["stirlingS2(n, k)"],description:"he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.",examples:["stirlingS2(5, 3)"],seealso:["bellNumbers"]};
},{}],"DO71":[function(require,module,exports) {
"use strict";module.exports={name:"config",category:"Core",syntax:["config()","config(options)"],description:"Get configuration or change configuration.",examples:["config()","1/3 + 1/4",'config({number: "Fraction"})',"1/3 + 1/4"],seealso:[]};
},{}],"ZwB0":[function(require,module,exports) {
"use strict";module.exports={name:"import",category:"Core",syntax:["import(functions)","import(functions, options)"],description:"Import functions or constants from an object.",examples:["import({myFn: f(x)=x^2, myConstant: 32 })","myFn(2)","myConstant"],seealso:[]};
},{}],"Shzo":[function(require,module,exports) {
"use strict";module.exports={name:"typed",category:"Core",syntax:["typed(signatures)","typed(name, signatures)"],description:"Create a typed function.",examples:['double = typed({ "number, number": f(x)=x+x })',"double(2)",'double("hello")'],seealso:[]};
},{}],"DVdV":[function(require,module,exports) {
"use strict";module.exports={name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 + 3i)"],seealso:["re","im","conj","abs"]};
},{}],"Wmy6":[function(require,module,exports) {
"use strict";module.exports={name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]};
},{}],"zwHi":[function(require,module,exports) {
"use strict";module.exports={name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]};
},{}],"QAET":[function(require,module,exports) {
"use strict";module.exports={name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]};
},{}],"bVEH":[function(require,module,exports) {
"use strict";module.exports={name:"eval",category:"Expression",syntax:["eval(expression)","eval([expr1, expr2, expr3, ...])"],description:"Evaluate an expression or an array with expressions.",examples:['eval("2 + 3")','eval("sqrt(" + 4 + ")")'],seealso:[]};
},{}],"Fax8":[function(require,module,exports) {
"use strict";module.exports={name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]};
},{}],"dMW5":[function(require,module,exports) {
"use strict";module.exports={name:"distance",category:"Geometry",syntax:["distance([x1, y1], [x2, y2])","distance([[x1, y1], [x2, y2])"],description:"Calculates the Euclidean distance between two points.",examples:["distance([0,0], [4,4])","distance([[0,0], [4,4]])"],seealso:[]};
},{}],"bVBO":[function(require,module,exports) {
"use strict";module.exports={name:"intersect",category:"Geometry",syntax:["intersect(expr1, expr2, expr3, expr4)","intersect(expr1, expr2, expr3)"],description:"Computes the intersection point of lines and/or planes.",examples:["intersect([0, 0], [10, 10], [10, 0], [0, 10])","intersect([1, 0, 1],  [4, -2, 2], [1, 1, 1, 6])"],seealso:[]};
},{}],"AWzT":[function(require,module,exports) {
"use strict";module.exports={name:"and",category:"Logical",syntax:["x and y","and(x, y)"],description:"Logical and. Test whether two values are both defined with a nonzero/nonempty value.",examples:["true and false","true and true","2 and 4"],seealso:["not","or","xor"]};
},{}],"AWWa":[function(require,module,exports) {
"use strict";module.exports={name:"not",category:"Logical",syntax:["not x","not(x)"],description:"Logical not. Flips the boolean value of given argument.",examples:["not true","not false","not 2","not 0"],seealso:["and","or","xor"]};
},{}],"JhOe":[function(require,module,exports) {
"use strict";module.exports={name:"or",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical or. Test if at least one value is defined with a nonzero/nonempty value.",examples:["true or false","false or false","0 or 4"],seealso:["not","and","xor"]};
},{}],"JMRD":[function(require,module,exports) {
"use strict";module.exports={name:"xor",category:"Logical",syntax:["x xor y","xor(x, y)"],description:"Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.",examples:["true xor false","false xor false","true xor true","0 xor 4"],seealso:["not","and","or"]};
},{}],"aMEf":[function(require,module,exports) {
"use strict";module.exports={name:"column",category:"Matrix",syntax:["column(x, index)"],description:"Return a column from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","column(A, 1)","column(A, 2)"],seealso:["row"]};
},{}],"q0hB":[function(require,module,exports) {
"use strict";module.exports={name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]};
},{}],"IWZn":[function(require,module,exports) {
"use strict";module.exports={name:"cross",category:"Matrix",syntax:["cross(A, B)"],description:"Calculate the cross product for two vectors in three dimensional space.",examples:["cross([1, 1, 0],  [0, 1, 1])","cross([3, -3, 1], [4, 9, 2])","cross([2, 3, 4],  [5, 6, 7])"],seealso:["multiply","dot"]};
},{}],"nnFv":[function(require,module,exports) {
"use strict";module.exports={name:"transpose",category:"Matrix",syntax:["x'","ctranspose(x)"],description:"Complex Conjugate and Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","ctranspose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]};
},{}],"qD6G":[function(require,module,exports) {
"use strict";module.exports={name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]};
},{}],"UQh1":[function(require,module,exports) {
"use strict";module.exports={name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]};
},{}],"BlyW":[function(require,module,exports) {
"use strict";module.exports={name:"dot",category:"Matrix",syntax:["dot(A, B)","A * B"],description:"Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn",examples:["dot([2, 4, 1], [2, 2, 3])","[2, 4, 1] * [2, 2, 3]"],seealso:["multiply","cross"]};
},{}],"bnMU":[function(require,module,exports) {
"use strict";module.exports={name:"getMatrixDataType",category:"Matrix",syntax:["getMatrixDataType(x)"],description:'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".',examples:["getMatrixDataType([1, 2, 3])","getMatrixDataType([[5 cm], [2 inch]])",'getMatrixDataType([1, "text"])',"getMatrixDataType([1, bignumber(4)])"],seealso:["matrix","sparse","typeof"]};
},{}],"iJ3P":[function(require,module,exports) {
"use strict";module.exports={name:"identity",category:"Matrix",syntax:["identity(n)","identity(m, n)","identity([m, n])"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["identity(3)","identity(3, 5)","a = [1, 2, 3; 4, 5, 6]","identity(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]};
},{}],"CckY":[function(require,module,exports) {
"use strict";module.exports={name:"filter",category:"Matrix",syntax:["filter(x, test)"],description:"Filter items in a matrix.",examples:["isPositive(x) = x > 0","filter([6, -2, -1, 4, 3], isPositive)","filter([6, -2, 0, 1, 0], x != 0)"],seealso:["sort","map","forEach"]};
},{}],"UmBd":[function(require,module,exports) {
"use strict";module.exports={name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]};
},{}],"l4FK":[function(require,module,exports) {
"use strict";module.exports={name:"forEach",category:"Matrix",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["forEach([1, 2, 3], function(val) { console.log(val) })"],seealso:["map","sort","filter"]};
},{}],"DDDN":[function(require,module,exports) {
"use strict";module.exports={name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","identity","ones","range","size","squeeze","subset","trace","transpose","zeros"]};
},{}],"DU2x":[function(require,module,exports) {
"use strict";module.exports={name:"kron",category:"Matrix",syntax:["kron(x, y)"],description:"Calculates the kronecker product of 2 matrices or vectors.",examples:["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])","kron([1,1], [2,3,4])"],seealso:["multiply","dot","cross"]};
},{}],"oHAh":[function(require,module,exports) {
"use strict";module.exports={name:"map",category:"Matrix",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], square)"],seealso:["filter","forEach"]};
},{}],"fbw8":[function(require,module,exports) {
"use strict";module.exports={name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","identity","inv","range","size","squeeze","subset","trace","transpose","zeros"]};
},{}],"fQm4":[function(require,module,exports) {
"use strict";module.exports={name:"partitionSelect",category:"Matrix",syntax:["partitionSelect(x, k)","partitionSelect(x, k, compare)"],description:"Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.",examples:["partitionSelect([5, 10, 1], 2)",'partitionSelect(["C", "B", "A", "D"], 1)'],seealso:["sort"]};
},{}],"NLcZ":[function(require,module,exports) {
"use strict";module.exports={name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","identity","inv","ones","size","squeeze","subset","trace","transpose","zeros"]};
},{}],"tmIl":[function(require,module,exports) {
"use strict";module.exports={name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze","reshape"]};
},{}],"DOEY":[function(require,module,exports) {
"use strict";module.exports={name:"reshape",category:"Matrix",syntax:["reshape(x, sizes)"],description:"Reshape a multi dimensional array to fit the specified dimensions.",examples:["reshape([1, 2, 3, 4, 5, 6], [2, 3])","reshape([[1, 2], [3, 4]], [1, 4])","reshape([[1, 2], [3, 4]], [4])"],seealso:["size","squeeze","resize"]};
},{}],"FNOD":[function(require,module,exports) {
"use strict";module.exports={name:"row",category:"Matrix",syntax:["row(x, index)"],description:"Return a row from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","row(A, 1)","row(A, 2)"],seealso:["column"]};
},{}],"lVw7":[function(require,module,exports) {
"use strict";module.exports={name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","det","diag","identity","inv","ones","range","squeeze","subset","trace","transpose","zeros"]};
},{}],"bGuK":[function(require,module,exports) {
"use strict";module.exports={name:"sort",category:"Matrix",syntax:["sort(x)","sort(x, compare)"],description:'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.',examples:["sort([5, 10, 1])",'sort(["C", "B", "A", "D"])',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)','sort(["10", "1", "2"], "natural")'],seealso:["map","filter","forEach"]};
},{}],"MpqE":[function(require,module,exports) {
"use strict";module.exports={name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","identity","inv","ones","range","size","subset","trace","transpose","zeros"]};
},{}],"WRJB":[function(require,module,exports) {
"use strict";module.exports={name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of a matrix or string. Indexes are one-based. Both the ranges lower-bound and upper-bound are included.",examples:["d = [1, 2; 3, 4]","e = []","e[1, 1:2] = [5, 6]","e[2, :] = [7, 8]","f = d * e","f[2, 1]","f[:, 1]"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","trace","transpose","zeros"]};
},{}],"nc6c":[function(require,module,exports) {
"use strict";module.exports={name:"trace",category:"Matrix",syntax:["trace(A)"],description:"Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.",examples:["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]","trace(A)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","transpose","zeros"]};
},{}],"fj0p":[function(require,module,exports) {
"use strict";module.exports={name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]};
},{}],"nFaR":[function(require,module,exports) {
"use strict";module.exports={name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose"]};
},{}],"M4Fz":[function(require,module,exports) {
"use strict";module.exports={name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["permutations","factorial"]};
},{}],"cbU5":[function(require,module,exports) {
"use strict";module.exports={name:"factorial",category:"Probability",syntax:["n!","factorial(n)"],description:"Compute the factorial of a value",examples:["5!","5 * 4 * 3 * 2 * 1","3!"],seealso:["combinations","permutations","gamma"]};
},{}],"mIdZ":[function(require,module,exports) {
"use strict";module.exports={name:"gamma",category:"Probability",syntax:["gamma(n)"],description:"Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.",examples:["gamma(4)","3!","gamma(1/2)","sqrt(pi)"],seealso:["factorial"]};
},{}],"W9Q9":[function(require,module,exports) {
"use strict";module.exports={name:"kldivergence",category:"Probability",syntax:["kldivergence(x, y)"],description:"Calculate the Kullback-Leibler (KL) divergence  between two distributions.",examples:["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"],seealso:[]};
},{}],"y9uR":[function(require,module,exports) {
"use strict";module.exports={name:"multinomial",category:"Probability",syntax:["multinomial(A)"],description:"Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.",examples:["multinomial([1, 2, 1])"],seealso:["combinations","factorial"]};
},{}],"qGLJ":[function(require,module,exports) {
"use strict";module.exports={name:"permutations",category:"Probability",syntax:["permutations(n)","permutations(n, k)"],description:"Compute the number of permutations of n items taken k at a time",examples:["permutations(5)","permutations(5, 3)"],seealso:["combinations","factorial"]};
},{}],"iKEH":[function(require,module,exports) {
"use strict";module.exports={name:"pickRandom",category:"Probability",syntax:["pickRandom(array)","pickRandom(array, number)","pickRandom(array, weights)","pickRandom(array, number, weights)","pickRandom(array, weights, number)"],description:"Pick a random entry from a given array.",examples:["pickRandom(0:10)","pickRandom([1, 3, 1, 6])","pickRandom([1, 3, 1, 6], 2)","pickRandom([1, 3, 1, 6], [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"],seealso:["random","randomInt"]};
},{}],"pXBT":[function(require,module,exports) {
"use strict";module.exports={name:"random",category:"Probability",syntax:["random()","random(max)","random(min, max)","random(size)","random(size, max)","random(size, min, max)"],description:"Return a random number.",examples:["random()","random(10, 20)","random([2, 3])"],seealso:["pickRandom","randomInt"]};
},{}],"fj2Q":[function(require,module,exports) {
"use strict";module.exports={name:"randomInt",category:"Probability",syntax:["randomInt(max)","randomInt(min, max)","randomInt(size)","randomInt(size, max)","randomInt(size, min, max)"],description:"Return a random integer number",examples:["randomInt(10, 20)","randomInt([2, 3], 10)"],seealso:["pickRandom","random"]};
},{}],"jKwP":[function(require,module,exports) {
"use strict";module.exports={name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compareNatural","compareText"]};
},{}],"JLzY":[function(require,module,exports) {
"use strict";module.exports={name:"compareNatural",category:"Relational",syntax:["compareNatural(x, y)"],description:"Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compareNatural(2, 3)","compareNatural(3, 2)","compareNatural(2, 2)","compareNatural(5cm, 40mm)",'compareNatural("2", "10")',"compareNatural(2 + 3i, 2 + 4i)","compareNatural([1, 2, 4], [1, 2, 3])","compareNatural([1, 5], [1, 2, 3])","compareNatural([1, 2], [1, 2])","compareNatural({a: 2}, {a: 4})"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare","compareText"]};
},{}],"Bmmt":[function(require,module,exports) {
"use strict";module.exports={name:"compareText",category:"Relational",syntax:["compareText(x, y)"],description:"Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:['compareText("B", "A")','compareText("A", "B")','compareText("A", "A")','compareText("2", "10")','compare("2", "10")',"compare(2, 10)",'compareNatural("2", "10")','compareText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural"]};
},{}],"bLpw":[function(require,module,exports) {
"use strict";module.exports={name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["deepEqual([1,3,4], [1,3,4])","deepEqual([1,3,4], [1,3])"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]};
},{}],"wgSR":[function(require,module,exports) {
"use strict";module.exports={name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual","equalText"]};
},{}],"HVZA":[function(require,module,exports) {
"use strict";module.exports={name:"equalText",category:"Relational",syntax:["equalText(x, y)"],description:"Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.",examples:['equalText("Hello", "Hello")','equalText("a", "A")','equal("2e3", "2000")','equalText("2e3", "2000")','equalText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural","compareText","equal"]};
},{}],"TH74":[function(require,module,exports) {
"use strict";module.exports={name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]};
},{}],"hahd":[function(require,module,exports) {
"use strict";module.exports={name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 >= 1+1","2 > 1+1","a = 3.2","b = 6-2.8","(a >= b)"],seealso:["equal","unequal","smallerEq","smaller","compare"]};
},{}],"iBZ4":[function(require,module,exports) {
"use strict";module.exports={name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]};
},{}],"Ob6s":[function(require,module,exports) {
"use strict";module.exports={name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 <= 1+1","2 < 1+1","a = 3.2","b = 6-2.8","(a <= b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]};
},{}],"kwrJ":[function(require,module,exports) {
"use strict";module.exports={name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]};
},{}],"qllh":[function(require,module,exports) {
"use strict";module.exports={name:"setCartesian",category:"Set",syntax:["setCartesian(set1, set2)"],description:"Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setCartesian([1, 2], [3, 4])"],seealso:["setUnion","setIntersect","setDifference","setPowerset"]};
},{}],"jaWL":[function(require,module,exports) {
"use strict";module.exports={name:"setDifference",category:"Set",syntax:["setDifference(set1, set2)"],description:"Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setDifference([1, 2, 3, 4], [3, 4, 5, 6])","setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setSymDifference"]};
},{}],"VDoP":[function(require,module,exports) {
"use strict";module.exports={name:"setDistinct",category:"Set",syntax:["setDistinct(set)"],description:"Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setDistinct([1, 1, 1, 2, 2, 3])"],seealso:["setMultiplicity"]};
},{}],"kvfp":[function(require,module,exports) {
"use strict";module.exports={name:"setIntersect",category:"Set",syntax:["setIntersect(set1, set2)"],description:"Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])","setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setDifference"]};
},{}],"XvM6":[function(require,module,exports) {
"use strict";module.exports={name:"setIsSubset",category:"Set",syntax:["setIsSubset(set1, set2)"],description:"Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIsSubset([1, 2], [3, 4, 5, 6])","setIsSubset([3, 4], [3, 4, 5, 6])"],seealso:["setUnion","setIntersect","setDifference"]};
},{}],"sMXh":[function(require,module,exports) {
"use strict";module.exports={name:"setMultiplicity",category:"Set",syntax:["setMultiplicity(element, set)"],description:"Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setMultiplicity(1, [1, 2, 2, 4])","setMultiplicity(2, [1, 2, 2, 4])"],seealso:["setDistinct","setSize"]};
},{}],"rmtw":[function(require,module,exports) {
"use strict";module.exports={name:"setPowerset",category:"Set",syntax:["setPowerset(set)"],description:"Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setPowerset([1, 2, 3])"],seealso:["setCartesian"]};
},{}],"AYWb":[function(require,module,exports) {
"use strict";module.exports={name:"setSize",category:"Set",syntax:["setSize(set)","setSize(set, unique)"],description:'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.',examples:["setSize([1, 2, 2, 4])","setSize([1, 2, 2, 4], true)"],seealso:["setUnion","setIntersect","setDifference"]};
},{}],"reLj":[function(require,module,exports) {
"use strict";module.exports={name:"setSymDifference",category:"Set",syntax:["setSymDifference(set1, set2)"],description:"Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])","setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setDifference"]};
},{}],"Wqu5":[function(require,module,exports) {
"use strict";module.exports={name:"setUnion",category:"Set",syntax:["setUnion(set1, set2)"],description:"Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setUnion([1, 2, 3, 4], [3, 4, 5, 6])","setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setIntersect","setDifference"]};
},{}],"NbhS":[function(require,module,exports) {
"use strict";module.exports={name:"erf",category:"Special",syntax:["erf(x)"],description:"Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x",examples:["erf(0.2)","erf(-0.5)","erf(4)"],seealso:[]};
},{}],"EtYx":[function(require,module,exports) {
"use strict";module.exports={name:"mad",category:"Statistics",syntax:["mad(a, b, c, ...)","mad(A)"],description:"Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.",examples:["mad(10, 20, 30)","mad([1, 2, 3])"],seealso:["mean","median","std","abs"]};
},{}],"L2AM":[function(require,module,exports) {
"use strict";module.exports={name:"max",category:"Statistics",syntax:["max(a, b, c, ...)","max(A)","max(A, dim)"],description:"Compute the maximum value of a list of values.",examples:["max(2, 3, 4, 1)","max([2, 3, 4, 1])","max([2, 5; 4, 3])","max([2, 5; 4, 3], 1)","max([2, 5; 4, 3], 2)","max(2.7, 7.1, -4.5, 2.0, 4.1)","min(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["mean","median","min","prod","std","sum","var"]};
},{}],"qRED":[function(require,module,exports) {
"use strict";module.exports={name:"mean",category:"Statistics",syntax:["mean(a, b, c, ...)","mean(A)","mean(A, dim)"],description:"Compute the arithmetic mean of a list of values.",examples:["mean(2, 3, 4, 1)","mean([2, 3, 4, 1])","mean([2, 5; 4, 3])","mean([2, 5; 4, 3], 1)","mean([2, 5; 4, 3], 2)","mean([1.0, 2.7, 3.2, 4.0])"],seealso:["max","median","min","prod","std","sum","var"]};
},{}],"nYR2":[function(require,module,exports) {
"use strict";module.exports={name:"median",category:"Statistics",syntax:["median(a, b, c, ...)","median(A)"],description:"Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.",examples:["median(5, 2, 7)","median([3, -1, 5, 7])"],seealso:["max","mean","min","prod","std","sum","var","quantileSeq"]};
},{}],"xrLZ":[function(require,module,exports) {
"use strict";module.exports={name:"min",category:"Statistics",syntax:["min(a, b, c, ...)","min(A)","min(A, dim)"],description:"Compute the minimum value of a list of values.",examples:["min(2, 3, 4, 1)","min([2, 3, 4, 1])","min([2, 5; 4, 3])","min([2, 5; 4, 3], 1)","min([2, 5; 4, 3], 2)","min(2.7, 7.1, -4.5, 2.0, 4.1)","max(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["max","mean","median","prod","std","sum","var"]};
},{}],"yBPR":[function(require,module,exports) {
"use strict";module.exports={name:"mode",category:"Statistics",syntax:["mode(a, b, c, ...)","mode(A)","mode(A, a, b, B, c, ...)"],description:"Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.",examples:["mode(2, 1, 4, 3, 1)","mode([1, 2.7, 3.2, 4, 2.7])","mode(1, 4, 6, 1, 6)"],seealso:["max","mean","min","median","prod","std","sum","var"]};
},{}],"NCYX":[function(require,module,exports) {
"use strict";module.exports={name:"prod",category:"Statistics",syntax:["prod(a, b, c, ...)","prod(A)"],description:"Compute the product of all values.",examples:["prod(2, 3, 4)","prod([2, 3, 4])","prod([2, 5; 4, 3])"],seealso:["max","mean","min","median","min","std","sum","var"]};
},{}],"Gbgi":[function(require,module,exports) {
"use strict";module.exports={name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:"Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. \n\nIn case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.",examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","var"]};
},{}],"uXlw":[function(require,module,exports) {
"use strict";module.exports={name:"std",category:"Statistics",syntax:["std(a, b, c, ...)","std(A)","std(A, normalization)"],description:'Compute the standard deviation of all values, defined as std(A) = sqrt(var(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["std(2, 4, 6)","std([2, 4, 6, 8])",'std([2, 4, 6, 8], "uncorrected")','std([2, 4, 6, 8], "biased")',"std([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","min","prod","sum","var"]};
},{}],"qyn0":[function(require,module,exports) {
"use strict";module.exports={name:"sum",category:"Statistics",syntax:["sum(a, b, c, ...)","sum(A)"],description:"Compute the sum of all values.",examples:["sum(2, 3, 4, 1)","sum([2, 3, 4, 1])","sum([2, 5; 4, 3])"],seealso:["max","mean","median","min","prod","std","sum","var"]};
},{}],"siyP":[function(require,module,exports) {
"use strict";module.exports={name:"var",category:"Statistics",syntax:["var(a, b, c, ...)","var(A)","var(A, normalization)"],description:'Compute the variance of all values. Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["var(2, 4, 6)","var([2, 4, 6, 8])",'var([2, 4, 6, 8], "uncorrected")','var([2, 4, 6, 8], "biased")',"var([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","min","prod","std","sum"]};
},{}],"HPVa":[function(require,module,exports) {
"use strict";module.exports={name:"acos",category:"Trigonometry",syntax:["acos(x)"],description:"Compute the inverse cosine of a value in radians.",examples:["acos(0.5)","acos(cos(2.3))"],seealso:["cos","atan","asin"]};
},{}],"MvCO":[function(require,module,exports) {
"use strict";module.exports={name:"acosh",category:"Trigonometry",syntax:["acosh(x)"],description:"Calculate the hyperbolic arccos of a value, defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.",examples:["acosh(1.5)"],seealso:["cosh","asinh","atanh"]};
},{}],"xXPM":[function(require,module,exports) {
"use strict";module.exports={name:"acot",category:"Trigonometry",syntax:["acot(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acot(0.5)","acot(cot(0.5))","acot(2)"],seealso:["cot","atan"]};
},{}],"KpnL":[function(require,module,exports) {
"use strict";module.exports={name:"acoth",category:"Trigonometry",syntax:["acoth(x)"],description:"Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.",examples:["acoth(2)","acoth(0.5)"],seealso:["acsch","asech"]};
},{}],"Gt5T":[function(require,module,exports) {
"use strict";module.exports={name:"acsc",category:"Trigonometry",syntax:["acsc(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acsc(2)","acsc(csc(0.5))","acsc(0.5)"],seealso:["csc","asin","asec"]};
},{}],"XLHb":[function(require,module,exports) {
"use strict";module.exports={name:"acsch",category:"Trigonometry",syntax:["acsch(x)"],description:"Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.",examples:["acsch(0.5)"],seealso:["asech","acoth"]};
},{}],"uxTA":[function(require,module,exports) {
"use strict";module.exports={name:"asec",category:"Trigonometry",syntax:["asec(x)"],description:"Calculate the inverse secant of a value.",examples:["asec(0.5)","asec(sec(0.5))","asec(2)"],seealso:["acos","acot","acsc"]};
},{}],"eRMa":[function(require,module,exports) {
"use strict";module.exports={name:"asech",category:"Trigonometry",syntax:["asech(x)"],description:"Calculate the inverse secant of a value.",examples:["asech(0.5)"],seealso:["acsch","acoth"]};
},{}],"M9R8":[function(require,module,exports) {
"use strict";module.exports={name:"asin",category:"Trigonometry",syntax:["asin(x)"],description:"Compute the inverse sine of a value in radians.",examples:["asin(0.5)","asin(sin(0.5))"],seealso:["sin","acos","atan"]};
},{}],"qY7D":[function(require,module,exports) {
"use strict";module.exports={name:"asinh",category:"Trigonometry",syntax:["asinh(x)"],description:"Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.",examples:["asinh(0.5)"],seealso:["acosh","atanh"]};
},{}],"s9IB":[function(require,module,exports) {
"use strict";module.exports={name:"atan",category:"Trigonometry",syntax:["atan(x)"],description:"Compute the inverse tangent of a value in radians.",examples:["atan(0.5)","atan(tan(0.5))"],seealso:["tan","acos","asin"]};
},{}],"fjot":[function(require,module,exports) {
"use strict";module.exports={name:"atanh",category:"Trigonometry",syntax:["atanh(x)"],description:"Calculate the hyperbolic arctangent of a value, defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.",examples:["atanh(0.5)"],seealso:["acosh","asinh"]};
},{}],"Z7HZ":[function(require,module,exports) {
"use strict";module.exports={name:"atan2",category:"Trigonometry",syntax:["atan2(y, x)"],description:"Computes the principal value of the arc tangent of y/x in radians.",examples:["atan2(2, 2) / pi","angle = 60 deg in rad","x = cos(angle)","y = sin(angle)","atan2(y, x)"],seealso:["sin","cos","tan"]};
},{}],"DWzk":[function(require,module,exports) {
"use strict";module.exports={name:"cos",category:"Trigonometry",syntax:["cos(x)"],description:"Compute the cosine of x in radians.",examples:["cos(2)","cos(pi / 4) ^ 2","cos(180 deg)","cos(60 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["acos","sin","tan"]};
},{}],"maYo":[function(require,module,exports) {
"use strict";module.exports={name:"cosh",category:"Trigonometry",syntax:["cosh(x)"],description:"Compute the hyperbolic cosine of x in radians.",examples:["cosh(0.5)"],seealso:["sinh","tanh","coth"]};
},{}],"wCAM":[function(require,module,exports) {
"use strict";module.exports={name:"cot",category:"Trigonometry",syntax:["cot(x)"],description:"Compute the cotangent of x in radians. Defined as 1/tan(x)",examples:["cot(2)","1 / tan(2)"],seealso:["sec","csc","tan"]};
},{}],"AM7w":[function(require,module,exports) {
"use strict";module.exports={name:"coth",category:"Trigonometry",syntax:["coth(x)"],description:"Compute the hyperbolic cotangent of x in radians.",examples:["coth(2)","1 / tanh(2)"],seealso:["sech","csch","tanh"]};
},{}],"cTPc":[function(require,module,exports) {
"use strict";module.exports={name:"csc",category:"Trigonometry",syntax:["csc(x)"],description:"Compute the cosecant of x in radians. Defined as 1/sin(x)",examples:["csc(2)","1 / sin(2)"],seealso:["sec","cot","sin"]};
},{}],"uHb4":[function(require,module,exports) {
"use strict";module.exports={name:"csch",category:"Trigonometry",syntax:["csch(x)"],description:"Compute the hyperbolic cosecant of x in radians. Defined as 1/sinh(x)",examples:["csch(2)","1 / sinh(2)"],seealso:["sech","coth","sinh"]};
},{}],"hpuP":[function(require,module,exports) {
"use strict";module.exports={name:"sec",category:"Trigonometry",syntax:["sec(x)"],description:"Compute the secant of x in radians. Defined as 1/cos(x)",examples:["sec(2)","1 / cos(2)"],seealso:["cot","csc","cos"]};
},{}],"WKMm":[function(require,module,exports) {
"use strict";module.exports={name:"sech",category:"Trigonometry",syntax:["sech(x)"],description:"Compute the hyperbolic secant of x in radians. Defined as 1/cosh(x)",examples:["sech(2)","1 / cosh(2)"],seealso:["coth","csch","cosh"]};
},{}],"gPaM":[function(require,module,exports) {
"use strict";module.exports={name:"sin",category:"Trigonometry",syntax:["sin(x)"],description:"Compute the sine of x in radians.",examples:["sin(2)","sin(pi / 4) ^ 2","sin(90 deg)","sin(30 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["asin","cos","tan"]};
},{}],"G3av":[function(require,module,exports) {
"use strict";module.exports={name:"sinh",category:"Trigonometry",syntax:["sinh(x)"],description:"Compute the hyperbolic sine of x in radians.",examples:["sinh(0.5)"],seealso:["cosh","tanh"]};
},{}],"N6lO":[function(require,module,exports) {
"use strict";module.exports={name:"tan",category:"Trigonometry",syntax:["tan(x)"],description:"Compute the tangent of x in radians.",examples:["tan(0.5)","sin(0.5) / cos(0.5)","tan(pi / 4)","tan(45 deg)"],seealso:["atan","sin","cos"]};
},{}],"teZk":[function(require,module,exports) {
"use strict";module.exports={name:"tanh",category:"Trigonometry",syntax:["tanh(x)"],description:"Compute the hyperbolic tangent of x in radians.",examples:["tanh(0.5)","sinh(0.5) / cosh(0.5)"],seealso:["sinh","cosh"]};
},{}],"ROe2":[function(require,module,exports) {
"use strict";module.exports={name:"to",category:"Units",syntax:["x to unit","to(x, unit)"],description:"Change the unit of a value.",examples:["5 inch to cm","3.2kg to g","16 bytes in bits"],seealso:[]};
},{}],"I9FW":[function(require,module,exports) {
"use strict";module.exports={name:"clone",category:"Utils",syntax:["clone(x)"],description:"Clone a variable. Creates a copy of primitive variables,and a deep copy of matrices",examples:["clone(3.5)","clone(2 - 4i)","clone(45 deg)","clone([1, 2; 3, 4])",'clone("hello world")'],seealso:[]};
},{}],"gPkx":[function(require,module,exports) {
"use strict";module.exports={name:"format",category:"Utils",syntax:["format(value)","format(value, precision)"],description:"Format a value of any type as string.",examples:["format(2.3)","format(3 - 4i)","format([])","format(pi, 3)"],seealso:["print"]};
},{}],"VF4n":[function(require,module,exports) {
"use strict";module.exports={name:"isNaN",category:"Utils",syntax:["isNaN(x)"],description:"Test whether a value is NaN (not a number)",examples:["isNaN(2)","isNaN(0 / 0)","isNaN(NaN)","isNaN(Infinity)"],seealso:["isNegative","isNumeric","isPositive","isZero"]};
},{}],"rt70":[function(require,module,exports) {
"use strict";module.exports={name:"isInteger",category:"Utils",syntax:["isInteger(x)"],description:"Test whether a value is an integer number.",examples:["isInteger(2)","isInteger(3.5)","isInteger([3, 0.5, -2])"],seealso:["isNegative","isNumeric","isPositive","isZero"]};
},{}],"hspf":[function(require,module,exports) {
"use strict";module.exports={name:"isNegative",category:"Utils",syntax:["isNegative(x)"],description:"Test whether a value is negative: smaller than zero.",examples:["isNegative(2)","isNegative(0)","isNegative(-4)","isNegative([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isPositive","isZero"]};
},{}],"Tqof":[function(require,module,exports) {
"use strict";module.exports={name:"isNumeric",category:"Utils",syntax:["isNumeric(x)"],description:"Test whether a value is a numeric value. Returns true when the input is a number, BigNumber, Fraction, or boolean.",examples:["isNumeric(2)",'isNumeric("2")','hasNumericValue("2")',"isNumeric(0)","isNumeric(bignumber(500))","isNumeric(fraction(0.125))","isNumeric(2 + 3i)",'isNumeric([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive","isNaN","hasNumericValue"]};
},{}],"RYV2":[function(require,module,exports) {
"use strict";module.exports={name:"hasNumericValue",category:"Utils",syntax:["hasNumericValue(x)"],description:"Test whether a value is an numeric value. In case of a string, true is returned if the string contains a numeric value.",examples:["hasNumericValue(2)",'hasNumericValue("2")','isNumeric("2")',"hasNumericValue(0)","hasNumericValue(bignumber(500))","hasNumericValue(fraction(0.125))","hasNumericValue(2 + 3i)",'hasNumericValue([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive","isNaN","isNumeric"]};
},{}],"pq0g":[function(require,module,exports) {
"use strict";module.exports={name:"isPositive",category:"Utils",syntax:["isPositive(x)"],description:"Test whether a value is positive: larger than zero.",examples:["isPositive(2)","isPositive(0)","isPositive(-4)","isPositive([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isNegative","isZero"]};
},{}],"mX5V":[function(require,module,exports) {
"use strict";module.exports={name:"isPrime",category:"Utils",syntax:["isPrime(x)"],description:"Test whether a value is prime: has no divisors other than itself and one.",examples:["isPrime(3)","isPrime(-2)","isPrime([2, 17, 100])"],seealso:["isInteger","isNumeric","isNegative","isZero"]};
},{}],"MHMc":[function(require,module,exports) {
"use strict";module.exports={name:"isZero",category:"Utils",syntax:["isZero(x)"],description:"Test whether a value is zero.",examples:["isZero(2)","isZero(0)","isZero(-4)","isZero([3, 0, -2, 0])"],seealso:["isInteger","isNumeric","isNegative","isPositive"]};
},{}],"v295":[function(require,module,exports) {
"use strict";module.exports={name:"typeof",category:"Utils",syntax:["typeof(x)"],description:"Get the type of a variable.",examples:["typeof(3.5)","typeof(2 - 4i)","typeof(45 deg)",'typeof("hello world")'],seealso:["getMatrixDataType"]};
},{}],"u4GE":[function(require,module,exports) {
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