mathjs
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Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif
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JavaScript
/**
* math.js
* https://github.com/josdejong/mathjs
*
* Math.js is an extensive math library for JavaScript and Node.js,
* It features real and complex numbers, units, matrices, a large set of
* mathematical functions, and a flexible expression parser.
*
* @version 6.2.2
* @date 2019-09-23
*
* @license
* Copyright (C) 2013-2019 Jos de Jong <wjosdejong@gmail.com>
*
* Licensed under the Apache License, Version 2.0 (the "License"); you may not
* use this file except in compliance with the License. You may obtain a copy
* of the License at
*
* https://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
* License for the specific language governing permissions and limitations under
* the License.
*/
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Replace "+JSON.stringify(t)+" with "+JSON.stringify(i)),f(e,i)}var a=t&&void 0!==t.lowerExp?t.lowerExp:-3,o=t&&void 0!==t.upperExp?t.upperExp:5;if(e.isZero())return"0";var s=e.toSignificantDigits(r),u=s.e;return(a<=u&&u<o?s.toFixed():l(e,r)).replace(/((\.\d*?)(0+))($|e)/,function(){var e=arguments[2],t=arguments[4];return"."!==e?e+t:t});default:throw new Error('Unknown notation "'+n+'". Choose "auto", "exponential", or "fixed".')}}function l(e,t){return void 0!==t?e.toExponential(t-1):e.toExponential()}function a(e){return(a="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e})(e)}function o(e,t){var r=e.length-t.length,n=e.length;return e.substring(r,n)===t}function s(t,r){return"number"==typeof t?Object(i.h)(t,r):Object(n.e)(t)?f(t,r):function(e){return e&&"object"===a(e)&&"number"==typeof e.s&&"number"==typeof e.n&&"number"==typeof e.d||!1}(t)?r&&"decimal"===r.fraction?t.toString():t.s*t.n+"/"+t.d:Array.isArray(t)?function e(t,r){{if(Array.isArray(t)){for(var n="[",i=t.length,a=0;a<i;a++)0!==a&&(n+=", "),n+=e(t[a],r);return n+="]"}return s(t,r)}}(t,r):Object(n.I)(t)?'"'+t+'"':"function"==typeof t?t.syntax?String(t.syntax):"function":t&&"object"===a(t)?"function"==typeof t.format?t.format(r):t&&t.toString(r)!=={}.toString()?t.toString(r):"{"+Object.keys(t).map(function(e){return'"'+e+'": '+s(t[e],r)}).join(", ")+"}":String(t)}function u(e){for(var t=String(e),r="",n=0;n<t.length;){var i=t.charAt(n);"\\"===i?(r+=i,n++,""!==(i=t.charAt(n))&&-1!=='"\\/bfnrtu'.indexOf(i)||(r+="\\"),r+=i):r+='"'===i?'\\"':i,n++}return'"'+r+'"'}function p(e){var t=String(e);return t=t.replace(/&/g,"&").replace(/"/g,""").replace(/'/g,"'").replace(/</g,"<").replace(/>/g,">")}function m(e,t){if(!Object(n.I)(e))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+Object(n.M)(e)+", index: 0)");if(!Object(n.I)(t))throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: "+Object(n.M)(t)+", index: 1)");return e===t?0:t<e?1:-1}r.d(t,"b",function(){return o}),r.d(t,"d",function(){return s}),r.d(t,"e",function(){return u}),r.d(t,"c",function(){return p}),r.d(t,"a",function(){return m})},function(e,t,r){"use strict";function n(e,t,r){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");this.actual=e,this.expected=t,this.relation=r,this.message="Dimension mismatch ("+(Array.isArray(e)?"["+e.join(", ")+"]":e)+" "+(this.relation||"!=")+" "+(Array.isArray(t)?"["+t.join(", ")+"]":t)+")",this.stack=(new Error).stack}r.d(t,"a",function(){return n}),(n.prototype=new RangeError).constructor=RangeError,n.prototype.name="DimensionError",n.prototype.isDimensionError=!0},,function(e,t,r){"use strict";r.d(t,"a",function(){return n});var a,n=(a={},function(){for(var e=arguments.length,t=new Array(e),r=0;r<e;r++)t[r]=arguments[r];var n,i=t.join(", ");a[i]||(a[i]=!0,(n=console).warn.apply(n,["Warning:"].concat(t)))})},function(e,t,r){var o;
/**
* @license Complex.js v2.0.11 11/02/2016
*
* Copyright (c) 2016, Robert Eisele (robert@xarg.org)
* Dual licensed under the MIT or GPL Version 2 licenses.
**/
/**
* @license Complex.js v2.0.11 11/02/2016
*
* Copyright (c) 2016, Robert Eisele (robert@xarg.org)
* Dual licensed under the MIT or GPL Version 2 licenses.
**/
!function(){"use strict";function n(e){return.5*(Math.exp(e)+Math.exp(-e))}function i(e){return.5*(Math.exp(e)-Math.exp(-e))}function u(){throw SyntaxError("Invalid Param")}function c(e,t){var r=Math.abs(e),n=Math.abs(t);return 0===e?Math.log(n):0===t?Math.log(r):r<3e3&&n<3e3?.5*Math.log(e*e+t*t):Math.log(e/Math.cos(Math.atan2(t,e)))}var a=function(e,t){var r={re:0,im:0};if(null==e)r.re=r.im=0;else if(void 0!==t)r.re=e,r.im=t;else switch(typeof e){case"object":if("im"in e&&"re"in e)r.re=e.re,r.im=e.im;else if("abs"in e&&"arg"in e){if(!Number.isFinite(e.abs)&&Number.isFinite(e.arg))return f.INFINITY;r.re=e.abs*Math.cos(e.arg),r.im=e.abs*Math.sin(e.arg)}else if("r"in e&&"phi"in e){if(!Number.isFinite(e.r)&&Number.isFinite(e.phi))return f.INFINITY;r.re=e.r*Math.cos(e.phi),r.im=e.r*Math.sin(e.phi)}else 2===e.length?(r.re=e[0],r.im=e[1]):u();break;case"string":r.im=r.re=0;var n=e.match(/\d+\.?\d*e[+-]?\d+|\d+\.?\d*|\.\d+|./g),i=1,a=0;null===n&&u();for(var o=0;o<n.length;o++){var s=n[o];" "===s||"\t"===s||"\n"===s||("+"===s?i++:"-"===s?a++:i=a=("i"===s||"I"===s?(i+a===0&&u()," "===n[o+1]||isNaN(n[o+1])?r.im+=parseFloat((a%2?"-":"")+"1"):(r.im+=parseFloat((a%2?"-":"")+n[o+1]),o++)):(i+a!==0&&!isNaN(s)||u(),"i"===n[o+1]||"I"===n[o+1]?(r.im+=parseFloat((a%2?"-":"")+s),o++):r.re+=parseFloat((a%2?"-":"")+s)),0))}0<i+a&&u();break;case"number":r.im=0,r.re=e;break;default:u()}return isNaN(r.re)||isNaN(r.im),r};function f(e,t){if(!(this instanceof f))return new f(e,t);var r=a(e,t);this.re=r.re,this.im=r.im}f.prototype={re:0,im:0,sign:function(){var e=this.abs();return new f(this.re/e,this.im/e)},add:function(e,t){var r=new f(e,t);return this.isInfinite()&&r.isInfinite()?f.NAN:this.isInfinite()||r.isInfinite()?f.INFINITY:new f(this.re+r.re,this.im+r.im)},sub:function(e,t){var r=new f(e,t);return this.isInfinite()&&r.isInfinite()?f.NAN:this.isInfinite()||r.isInfinite()?f.INFINITY:new f(this.re-r.re,this.im-r.im)},mul:function(e,t){var r=new f(e,t);return this.isInfinite()&&r.isZero()||this.isZero()&&r.isInfinite()?f.NAN:this.isInfinite()||r.isInfinite()?f.INFINITY:0===r.im&&0===this.im?new f(this.re*r.re,0):new f(this.re*r.re-this.im*r.im,this.re*r.im+this.im*r.re)},div:function(e,t){var r=new f(e,t);if(this.isZero()&&r.isZero()||this.isInfinite()&&r.isInfinite())return f.NAN;if(this.isInfinite()||r.isZero())return f.INFINITY;if(this.isZero()||r.isInfinite())return f.ZERO;e=this.re,t=this.im;var n,i,a=r.re,o=r.im;return 0===o?new f(e/a,t/a):Math.abs(a)<Math.abs(o)?new f((e*(i=a/o)+t)/(n=a*i+o),(t*i-e)/n):new f((e+t*(i=o/a))/(n=o*i+a),(t-e*i)/n)},pow:function(e,t){var r=new f(e,t);if(e=this.re,t=this.im,r.isZero())return f.ONE;if(0===r.im){if(0===t&&0<=e)return new f(Math.pow(e,r.re),0);if(0===e)switch((r.re%4+4)%4){case 0:return new f(Math.pow(t,r.re),0);case 1:return new f(0,Math.pow(t,r.re));case 2:return new f(-Math.pow(t,r.re),0);case 3:return new f(0,-Math.pow(t,r.re))}}if(0===e&&0===t&&0<r.re&&0<=r.im)return f.ZERO;var n=Math.atan2(t,e),i=c(e,t);return e=Math.exp(r.re*i-r.im*n),t=r.im*i+r.re*n,new f(e*Math.cos(t),e*Math.sin(t))},sqrt:function(){var e,t,r=this.re,n=this.im,i=this.abs();if(0<=r){if(0===n)return new f(Math.sqrt(r),0);e=.5*Math.sqrt(2*(i+r))}else e=Math.abs(n)/Math.sqrt(2*(i-r));return t=r<=0?.5*Math.sqrt(2*(i-r)):Math.abs(n)/Math.sqrt(2*(i+r)),new f(e,n<0?-t:t)},exp:function(){var e=Math.exp(this.re);return this.im,new f(e*Math.cos(this.im),e*Math.sin(this.im))},expm1:function(){var e=this.re,t=this.im;return new f(Math.expm1(e)*Math.cos(t)+function(e){var t=Math.PI/4;if(e<-t||t<e)return Math.cos(e)-1;var r=e*e;return r*(r*(1/24+r*(-1/720+r*(1/40320+r*(-1/3628800+r*(1/4790014600+r*(-1/87178291200+1/20922789888e3*r))))))-.5)}(t),Math.exp(e)*Math.sin(t))},log:function(){var e=this.re,t=this.im;return new f(c(e,t),Math.atan2(t,e))},abs:function(){return function(e,t){var r=Math.abs(e),n=Math.abs(t);return r<3e3&&n<3e3?Math.sqrt(r*r+n*n):(n=r<n?(r=n,e/t):t/e,r*Math.sqrt(1+n*n))}(this.re,this.im)},arg:function(){return Math.atan2(this.im,this.re)},sin:function(){var e=this.re,t=this.im;return new f(Math.sin(e)*n(t),Math.cos(e)*i(t))},cos:function(){var e=this.re,t=this.im;return new f(Math.cos(e)*n(t),-Math.sin(e)*i(t))},tan:function(){var e=2*this.re,t=2*this.im,r=Math.cos(e)+n(t);return new f(Math.sin(e)/r,i(t)/r)},cot:function(){var e=2*this.re,t=2*this.im,r=Math.cos(e)-n(t);return new f(-Math.sin(e)/r,i(t)/r)},sec:function(){var e=this.re,t=this.im,r=.5*n(2*t)+.5*Math.cos(2*e);return new f(Math.cos(e)*n(t)/r,Math.sin(e)*i(t)/r)},csc:function(){var e=this.re,t=this.im,r=.5*n(2*t)-.5*Math.cos(2*e);return new f(Math.sin(e)*n(t)/r,-Math.cos(e)*i(t)/r)},asin:function(){var e=this.re,t=this.im,r=new f(t*t-e*e+1,-2*e*t).sqrt(),n=new f(r.re-t,r.im+e).log();return new f(n.im,-n.re)},acos:function(){var e=this.re,t=this.im,r=new f(t*t-e*e+1,-2*e*t).sqrt(),n=new f(r.re-t,r.im+e).log();return new f(Math.PI/2-n.im,n.re)},atan:function(){var e=this.re,t=this.im;if(0===e){if(1===t)return new f(0,1/0);if(-1===t)return new f(0,-1/0)}var r=e*e+(1-t)*(1-t),n=new f((1-t*t-e*e)/r,-2*e/r).log();return new f(-.5*n.im,.5*n.re)},acot:function(){var e=this.re,t=this.im;if(0===t)return new f(Math.atan2(1,e),0);var r=e*e+t*t;return 0!=r?new f(e/r,-t/r).atan():new f(0!==e?e/0:0,0!==t?-t/0:0).atan()},asec:function(){var e=this.re,t=this.im;if(0===e&&0===t)return new f(0,1/0);var r=e*e+t*t;return 0!=r?new f(e/r,-t/r).acos():new f(0!==e?e/0:0,0!==t?-t/0:0).acos()},acsc:function(){var e=this.re,t=this.im;if(0===e&&0===t)return new f(Math.PI/2,1/0);var r=e*e+t*t;return 0!=r?new f(e/r,-t/r).asin():new f(0!==e?e/0:0,0!==t?-t/0:0).asin()},sinh:function(){var e=this.re,t=this.im;return new f(i(e)*Math.cos(t),n(e)*Math.sin(t))},cosh:function(){var e=this.re,t=this.im;return new f(n(e)*Math.cos(t),i(e)*Math.sin(t))},tanh:function(){var e=2*this.re,t=2*this.im,r=n(e)+Math.cos(t);return new 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Math.abs(r.re-this.re)<=f.EPSILON&&Math.abs(r.im-this.im)<=f.EPSILON},clone:function(){return new f(this.re,this.im)},toString:function(){var e=this.re,t=this.im,r="";return this.isNaN()?"NaN":this.isZero()?"0":this.isInfinite()?"Infinity":(0!==e&&(r+=e),0!==t&&(0!==e?r+=t<0?" - ":" + ":t<0&&(r+="-"),1!==(t=Math.abs(t))&&(r+=t),r+="i"),r||"0")},toVector:function(){return[this.re,this.im]},valueOf:function(){return 0===this.im?this.re:null},isNaN:function(){return isNaN(this.re)||isNaN(this.im)},isZero:function(){return!(0!==this.re&&-0!==this.re||0!==this.im&&-0!==this.im)},isFinite:function(){return isFinite(this.re)&&isFinite(this.im)},isInfinite:function(){return!(this.isNaN()||this.isFinite())}},f.ZERO=new f(0,0),f.ONE=new f(1,0),f.I=new f(0,1),f.PI=new f(Math.PI,0),f.E=new f(Math.E,0),f.INFINITY=new f(1/0,1/0),f.NAN=new f(NaN,NaN),f.EPSILON=1e-16,void 0===(o=function(){return f}.apply(t,[]))||(e.exports=o)}()},function(e,t,r){"use strict";function n(e,t,r){if(!(this instanceof n))throw new SyntaxError("Constructor must be called with the new operator");this.index=e,arguments.length<3?(this.min=0,this.max=t):(this.min=t,this.max=r),void 0!==this.min&&this.index<this.min?this.message="Index out of range ("+this.index+" < "+this.min+")":void 0!==this.max&&this.index>=this.max?this.message="Index out of range ("+this.index+" > "+(this.max-1)+")":this.message="Index out of range ("+this.index+")",this.stack=(new Error).stack}r.d(t,"a",function(){return n}),(n.prototype=new RangeError).constructor=RangeError,n.prototype.name="IndexError",n.prototype.isIndexError=!0},function(r,i,e){var a;
/**
* @license Fraction.js v4.0.12 09/09/2015
* http://www.xarg.org/2014/03/rational-numbers-in-javascript/
*
* Copyright (c) 2015, Robert Eisele (robert@xarg.org)
* Dual licensed under the MIT or GPL Version 2 licenses.
**/
/**
* @license Fraction.js v4.0.12 09/09/2015
* http://www.xarg.org/2014/03/rational-numbers-in-javascript/
*
* Copyright (c) 2015, Robert Eisele (robert@xarg.org)
* Dual licensed under the MIT or GPL Version 2 licenses.
**/
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