break_eternity.js

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e(r.sign*a.sign,r.layer,r.mag);o=-1+Math.pow(10,r.mag-a.mag);return e(r.sign*a.sign,2,a.mag+Math.log10(Math.abs(o)))}throw Error("Bad arguments to div: "+this+", "+t)},o.prototype.divide=function(t){return this.div(t)},o.prototype.divideBy=function(t){return this.div(t)},o.prototype.dividedBy=function(t){return this.div(t)},o.prototype.recip=function(){return 0==this.layer?e(this.sign,0,1/this.mag):1==this.layer?e(this.sign,1,-this.mag):n(0,0,0)},o.prototype.reciprocal=function(){return this.recip()},o.prototype.reciprocate=function(){return this.recip()},o.prototype.cmp=function(t){var r=i(t);return this.sign>r.sign?1:this.sign<r.sign?-1:this.sign*this.cmpabs(t)},o.prototype.cmpabs=function(t){var r=i(t);return this.layer>r.layer?1:this.layer<r.layer?-1:this.mag>r.mag?1:this.mag<r.mag?-1:0},o.prototype.compare=function(t){return this.cmp(t)},o.prototype.eq=function(t){var r=i(t);return this.sign===r.sign&&this.layer===r.layer&&this.mag===r.mag},o.prototype.equals=function(t){return this.eq(t)},o.prototype.neq=function(t){return!this.eq(t)},o.prototype.notEquals=function(t){return this.neq(t)},o.prototype.lt=function(t){i(t);return-1==this.cmp(t)},o.prototype.lte=function(t){return!this.gt(t)},o.prototype.gt=function(t){i(t);return 1==this.cmp(t)},o.prototype.gte=function(t){return!this.lt(t)},o.prototype.max=function(t){var r=i(t);return this.lt(r)?r:this},o.prototype.min=function(t){var r=i(t);return this.gt(r)?r:this},o.prototype.maxabs=function(t){var r=i(t);return this.cmpabs(r)<0?r:this},o.prototype.minabs=function(t){var r=i(t);return this.cmpabs(r)>0?r:this},o.prototype.cmp_tolerance=function(t,r){var e=i(t);return this.eq_tolerance(e,r)?0:this.cmp(e)},o.prototype.compare_tolerance=function(t,r){return this.cmp_tolerance(t,r)},o.prototype.eq_tolerance=function(t,r){var e=i(t);if(this.sign!=e.sign)return!1;if(Math.abs(this.layer-e.layer)>1)return!1;var n=this.mag,a=e.mag;return this.layer>e.layer&&(a=Math.log10(a)),this.layer<e.layer&&(n=Math.log10(n)),Math.abs(n-a)<=r*Math.max(Math.abs(n),Math.abs(a))},o.prototype.equals_tolerance=function(t,r){return this.eq_tolerance(t,r)},o.prototype.neq_tolerance=function(t,r){return!this.eq_tolerance(t,r)},o.prototype.notEquals_tolerance=function(t,r){return this.neq_tolerance(t,r)},o.prototype.lt_tolerance=function(t,r){var e=i(t);return!this.eq_tolerance(e,r)&&this.lt(e)},o.prototype.lte_tolerance=function(t,r){var e=i(t);return this.eq_tolerance(e,r)||this.lt(e)},o.prototype.gt_tolerance=function(t,r){var e=i(t);return!this.eq_tolerance(e,r)&&this.gt(e)},o.prototype.gte_tolerance=function(t,r){var e=i(t);return this.eq_tolerance(e,r)||this.gt(e)},o.prototype.abslog10=function(){if(0===this.sign)throw Error("abslog10(0) is undefined");return this.layer>0?n(this.sign,this.layer-1,this.mag):n(this.sign,0,Math.log10(Math.abs(this.mag)))},o.prototype.log10=function(){if(this.sign<=0)throw Error("log10 is undefined for numbers <= 0");return this.layer>0?n(this.sign,this.layer-1,this.mag):n(this.sign,0,Math.log10(this.mag))},o.prototype.log=function(t){if(t=i(t),this.sign<=0)throw Error("log is undefined for numbers <= 0");if(t.sign<=0)throw Error("log is undefined for bases <= 0");if(1===t.sign&&0===t.layer&&1===t.mag)throw Error("log is undefined for base === 1");return 0===this.layer&&0===t.layer?n(this.sign,0,Math.log(this.mag)/Math.log(t.mag)):o.div(this.log10(),t.log10())},o.prototype.log2=function(){if(this.sign<=0)throw Error("log2 is undefined for numbers <= 0");return 0===this.layer?n(this.sign,0,Math.log2(this.mag)):1===this.layer?e(1,0,3.321928094887362*this.mag):2===this.layer?e(1,1,this.mag+.5213902276543247):n(1,this.layer-1,this.mag)},o.prototype.ln=function(){if(this.sign<=0)throw Error("ln is undefined for numbers <= 0");return 0===this.layer?n(this.sign,0,Math.log(this.mag)):1===this.layer?e(1,0,2.302585092994046*this.mag):2===this.layer?e(1,1,this.mag+.36221568869946325):n(1,this.layer-1,this.mag)},o.prototype.logarithm=function(t){return this.log(t)},o.prototype.pow=function(t){var r,a=this,s=i(t);if(1===a.sign&&0===a.layer&&1===a.mag)return a;if(0===s.sign)return n(1,0,1);if(1===s.sign&&0===s.layer&&1===s.mag)return a;if(1===a.sign&&0===a.layer&&10===a.mag)return s.powbase10();if(0===a.layer&&0===s.layer){var u=Math.pow(a.sign*a.mag,s.sign*s.mag);return isFinite(u)?e(1,0,u):e(1,1,Math.log10(a.mag)*s.mag)}return 0===a.layer&&a.mag<1?n(0,0,0):1===a.layer&&0===s.layer?e(1,2,Math.log10(a.mag)+Math.log10(s.mag)):0===a.layer&&1===s.layer?e(1,2,Math.log10(Math.log10(a.mag))+s.mag):1===a.layer&&1===s.layer?e(1,2,Math.log10(a.mag)+s.mag):2===a.layer&&s.layer<=2?((r=o.mul(n(a.sign,1,a.mag),n(s.sign,s.layer,s.mag))).layer+=1,r.normalize()):s.layer>=2&&s.layer-a.layer>=0?e(1,s.layer+1,s.mag):((r=o.mul(n(a.sign,a.layer-1,a.mag),n(s.sign,s.layer,s.mag))).layer+=1,r)},o.prototype.powbase10=function(){if(0===this.sign)return n(1,0,1);if(1===this.sign)return e(1,this.layer+1,this.mag);if(0===this.layer){var t=Math.pow(10,-this.mag);return 0===t?n(0,0,0):n(1,0,t)}return n(0,0,0)},o.prototype.pow_base=function(t){return i(t).pow(this)},o.prototype.root=function(t){var r,a=this,s=i(t);if(0===a.sign)return a;if(0===s.sign)return n(Number.NaN,Number.NaN,Number.NaN);if(1===a.sign&&0===a.layer&&1===a.mag)return a;if(1===s.sign&&0===s.layer&&1===s.mag)return a;if(0===a.layer&&0===s.layer){var u=Math.pow(a.sign*a.mag,s.sign*(1/s.mag));return isFinite(u)?e(1,0,u):e(1,1,Math.log10(a.mag)/s.mag)}return 1===a.layer&&0===s.layer?e(1,2,Math.log10(a.mag)-Math.log10(s.mag)):0===a.layer&&1===s.layer?e(1,2,Math.log10(Math.log10(a.mag))-s.mag):1===a.layer&&1===s.layer?e(1,2,Math.log10(a.mag)-s.mag):2===a.layer&&s.layer<=2?((r=o.div(n(a.sign,1,a.mag),n(s.sign,s.layer,s.mag))).layer+=1,r.normalize(),r):s.layer>=2&&s.layer-a.layer>=0?n(0,0,0):((r=o.div(n(a.sign,a.layer-1,a.mag),n(s.sign,s.layer,s.mag))).layer+=1,r.normalize(),r)},o.prototype.factorial=function(){return 0===this.layer?this.add(1).gamma():1===this.layer?o.exp(o.mul(this,o.ln(this).sub(1))):o.exp(this)},o.prototype.gamma=function(){if(0===this.layer){if(this.lt(n(1,0,24)))return i(function(t){if(!isFinite(t))return t;if(t<-50)return t==Math.trunc(t)?Number.NEGATIVE_INFINITY:0;for(var r=1;t<10;)r*=t,++t;var i=.9189385332046727;i+=(.5+(t-=1))*Math.log(t),i-=t;var e=t*t,n=t;return i+=1/(12*n),i+=1/(360*(n*=e)),i+=1/(1260*(n*=e)),i+=1/(1680*(n*=e)),i+=1/(1188*(n*=e)),i+=691/(360360*(n*=e)),i+=7/(1092*(n*=e)),i+=3617/(122400*(n*=e)),Math.exp(i)/r}(this.sign*this.mag));var t=this.mag-1,r=.9189385332046727;r+=(t+.5)*Math.log(t);var e=t*t,a=t,s=12*a,u=1/s,h=(r-=t)+u;if(h===r)return o.exp(r);if((h=(r=h)-(u=1/(s=360*(a*=e))))===r)return o.exp(r);r=h;var g=1/(s=1260*(a*=e));return r+=g,r-=g=1/(s=1680*(a*=e)),o.exp(r)}return 1===this.layer?o.exp(o.mul(this,o.ln(this).sub(1))):o.exp(this)},o.prototype.exp=function(){return 0===this.layer&&this.mag<=709.7?e(1,0,Math.exp(this.mag)):0===this.layer?e(1,1,Math.log10(Math.E)*this.mag):1===this.layer?e(1,2,Math.log10(.4342944819032518)+this.mag):e(this.sign,this.layer+1,this.mag)},o.prototype.sqr=function(){return this.pow(2)},o.prototype.sqrt=function(){if(0==this.layer)return i(Math.sqrt(this.sign*this.mag));if(1==this.layer)return e(1,2,Math.log10(this.mag)-.3010299956639812);var t=o.div(n(this.sign,this.layer-1,this.mag),n(1,0,2));return t.layer+=1,t.normalize(),t},o.prototype.cube=function(){return this.pow(3)},o.prototype.cbrt=function(){return this.pow(1/3)},o.prototype.tetrate=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:2,r=arguments.length>1&&void 0!==arguments[1]?arguments[1]:n(1,0,1);r=i(r);var a=t-(t=Math.trunc(t));if(0!=a&&(++t,r=o.pow(a,r)),0==t)return n(1,0,1);if(1==this.sign&&0==this.layer&&10==this.mag)return e(r.sign,r.layer+t,r.mag);for(var s=0;s<t;++s){if(r=this.pow(r),!isFinite(r.layer)||!isFinite(r.mag))return r;if(r.layer-this.layer>3)return n(r.sign,r.layer+(t-s-1),r.mag);if(s>100)return r}return r},o.prototype.pentate=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:2,r=arguments.length>1&&void 0!==arguments[1]?arguments[1]:n(1,0,1);if(r=i(r),0==(t=Math.trunc(t)))return n(1,0,1);for(var e=0;e<t;++e){if(r=this.tetrate(r),!isFinite(r.layer)||!isFinite(r.mag))return r;if(e>10)return r}return r},o.prototype.iteratedlog=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:10,r=arguments.length>1&&void 0!==arguments[1]?arguments[1]:1;t=i(t);var e=this;if(e.layer-t.layer>3){var n=Math.min(r,e.layer-t.layer-3);r-=n,e.layer-=n}if(r<1)return e;for(var a=0;a<r;++a){if(e=e.log(t),!isFinite(e.layer)||!isFinite(e.mag))return e;if(a>100)return e}return e},o.prototype.slog=function(){var t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:10;t=i(t);var r=0,e=i(this);if(e.layer-t.layer>3){var n=e.layer-t.layer-3;r+=n,e.layer-=n}for(var a=0;a<100;++a)if(e.lt(o.dZero))e=o.pow(t,e),r-=1;else{if(e.lte(o.dOne))return i(r-1+e.toNumber());r+=1,e=o.log(e,t)}return i(r)},o.prototype.sin=function(){return 0===this.layer?i(Math.sin(this.sign*this.mag)):n(0,0,0)},o.prototype.cos=function(){return 0===this.layer?i(Math.cos(this.sign*this.mag)):n(0,0,0)},o.prototype.tan=function(){return 0===this.layer?i(Math.tan(this.sign*this.mag)):n(0,0,0)},o.prototype.asin=function(){return 0===this.layer?i(Math.asin(this.sign*this.mag)):n(Number.NaN,Number.NaN,Number.NaN)},o.prototype.acos=function(){return 0===this.layer?i(Math.acos(this.sign*this.mag)):n(Number.NaN,Number.NaN,Number.NaN)},o.prototype.atan=function(){return 0===this.layer?i(Math.atan(this.sign*this.mag)):i(Math.atan(Infinity*this.sign))},o.prototype.sinh=function(){return this.exp().sub(this.negate().exp()).div(2)},o.prototype.cosh=function(){return this.exp().add(this.negate().exp()).div(2)},o.prototype.tanh=function(){return this.sinh().div(this.cosh())},o.prototype.asinh=function(){return o.ln(this.add(this.sqr().add(1).sqrt()))},o.prototype.acosh=function(){return o.ln(this.add(this.sqr().sub(1).sqrt()))},o.prototype.atanh=function(){return this.abs().gte(1)?n(Number.NaN,Number.NaN,Number.NaN):o.ln(this.add(1).div(i(1).sub(this))).div(2)},o.prototype.ascensionPenalty=function(t){return 0===t?this:this.root(o.pow(10,t))},o.prototype.egg=function(){return this.add(9)},o.prototype.lessThanOrEqualTo=function(t){return this.cmp(t)<1},o.prototype.lessThan=function(t){return this.cmp(t)<0},o.prototype.greaterThanOrEqualTo=function(t){return this.cmp(t)>-1},o.prototype.greaterThan=function(t){return this.cmp(t)>0},o}();return o.dZero=n(0,0,0),o.dOne=n(1,0,1),o.dNegOne=n(-1,0,1),o.dTwo=n(1,0,2),o.dTen=n(1,0,10),o.dNaN=n(Number.NaN,Number.NaN,Number.NaN),o.dInf=n(1,Number.POSITIVE_INFINITY,Number.POSITIVE_INFINITY),o.dNegInf=n(-1,Number.POSITIVE_INFINITY,Number.POSITIVE_INFINITY),o});