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s=0;s<100;++s){if(i=(e*Math.exp(-n)+n*n)/(n+1),Math.abs(i-n)<t*Math.abs(i))return i;n=i}throw Error(`Iteration failed to converge: ${e.toString()}`)};function ei(e,t=1e-10){let n,i,s,l;if(!Number.isFinite(e.mag)||e===a.dZero)return e;if(e===a.dOne)return h(oi);a.abs(e),n=a.ln(e);for(let o=0;o<100;++o){if(i=a.exp(-n),s=n.sub(e.mul(i)),l=n.sub(s.div(n.add(1).sub(n.add(2).mul(s).div(a.mul(2,n).add(2))))),a.abs(l.sub(n)).lt(a.abs(l).mul(t)))return l;n=l}throw Error(`Iteration failed to converge: ${e.toString()}`)}const w=class{constructor(e){this.sign=Number.NaN,this.mag=Number.NaN,this.layer=Number.NaN,e instanceof w||e!=null&&typeof e=="object"&&"sign"in e&&"mag"in e&&"layer"in e?this.fromDecimal(e):typeof e=="number"?this.fromNumber(e):typeof e=="string"?this.fromString(e):(this.sign=0,this.layer=0,this.mag=0)}get m(){if(this.sign===0)return 0;if(this.layer===0){const e=Math.floor(Math.log10(this.mag));let t;return this.mag===5e-324?t=5:t=this.mag/Rs(e),this.sign*t}else if(this.layer===1){const e=this.mag-Math.floor(this.mag);return this.sign*Math.pow(10,e)}else return this.sign}set m(e){this.layer<=2?this.fromMantissaExponent(e,this.e):(this.sign=Math.sign(e),this.sign===0&&(this.layer,this.exponent))}get e(){return this.sign===0?0:this.layer===0?Math.floor(Math.log10(this.mag)):this.layer===1?Math.floor(this.mag):this.layer===2?Math.floor(Math.sign(this.mag)*Math.pow(10,Math.abs(this.mag))):this.mag*Number.POSITIVE_INFINITY}set e(e){this.fromMantissaExponent(this.m,e)}get s(){return this.sign}set s(e){e===0?(this.sign=0,this.layer=0,this.mag=0):this.sign=e}get mantissa(){return this.m}set mantissa(e){this.m=e}get exponent(){return this.e}set exponent(e){this.e=e}static fromComponents(e,t,n){return new w().fromComponents(e,t,n)}static fromComponents_noNormalize(e,t,n){return new w().fromComponents_noNormalize(e,t,n)}static fromMantissaExponent(e,t){return new w().fromMantissaExponent(e,t)}static fromMantissaExponent_noNormalize(e,t){return new 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cmp_tolerance(e,t,n){return h(e).cmp_tolerance(t,n)}static compare_tolerance(e,t,n){return h(e).cmp_tolerance(t,n)}static eq_tolerance(e,t,n){return h(e).eq_tolerance(t,n)}static equals_tolerance(e,t,n){return h(e).eq_tolerance(t,n)}static neq_tolerance(e,t,n){return h(e).neq_tolerance(t,n)}static notEquals_tolerance(e,t,n){return h(e).notEquals_tolerance(t,n)}static lt_tolerance(e,t,n){return h(e).lt_tolerance(t,n)}static lte_tolerance(e,t,n){return h(e).lte_tolerance(t,n)}static gt_tolerance(e,t,n){return h(e).gt_tolerance(t,n)}static gte_tolerance(e,t,n){return h(e).gte_tolerance(t,n)}static pLog10(e){return h(e).pLog10()}static absLog10(e){return h(e).absLog10()}static log10(e){return h(e).log10()}static log(e,t){return h(e).log(t)}static log2(e){return h(e).log2()}static ln(e){return h(e).ln()}static logarithm(e,t){return h(e).logarithm(t)}static pow(e,t){return h(e).pow(t)}static pow10(e){return h(e).pow10()}static root(e,t){return h(e).root(t)}static factorial(e,t){return 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t}iteratedexp(e=2,t=H(1,0,1)){return this.tetrate(e,t)}iteratedlog(e=10,t=1){if(t<0)return w.tetrate(e,-t,this);e=h(e);let n=h(this);const i=t;t=Math.trunc(t);const s=i-t;if(n.layer-e.layer>3){const l=Math.min(t,n.layer-e.layer-3);t-=l,n.layer-=l}for(let l=0;l<t;++l){if(n=n.log(e),!isFinite(n.layer)||!isFinite(n.mag))return n.normalize();if(l>1e4)return n}return s>0&&s<1&&(e.eq(10)?n=n.layeradd10(-s):n=n.layeradd(-s,e)),n}slog(e=10){if(e=h(e),e.lte(w.dZero)||e.eq(w.dOne))return w.dNaN;if(e.lt(w.dOne))return this.eq(w.dOne)?w.dZero:this.eq(w.dZero)?w.dNegOne:w.dNaN;if(this.mag<0||this.eq(w.dZero))return w.dNegOne;let t=0,n=h(this);if(n.layer-e.layer>3){const i=n.layer-e.layer-3;t+=i,n.layer-=i}for(let i=0;i<100;++i)if(n.lt(w.dZero))n=w.pow(e,n),t-=1;else{if(n.lte(w.dOne))return h(t+w.slog_critical(e.toNumber(),n.toNumber()));t+=1,n=w.log(n,e)}return h(t)}static slog_critical(e,t){return e>10?t-1:w.critical_section(e,t,Vs)}static tetrate_critical(e,t){return 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