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h(e).atan()}static sinh(e){return h(e).sinh()}static cosh(e){return h(e).cosh()}static tanh(e){return h(e).tanh()}static asinh(e){return h(e).asinh()}static acosh(e){return h(e).acosh()}static atanh(e){return h(e).atanh()}static affordGeometricSeries(e,t,n,r){return this.affordGeometricSeries_core(h(e),h(t),h(n),r)}static sumGeometricSeries(e,t,n,r){return this.sumGeometricSeries_core(e,h(t),h(n),r)}static affordArithmeticSeries(e,t,n,r){return this.affordArithmeticSeries_core(h(e),h(t),h(n),h(r))}static sumArithmeticSeries(e,t,n,r){return this.sumArithmeticSeries_core(h(e),h(t),h(n),h(r))}static efficiencyOfPurchase(e,t,n){return this.efficiencyOfPurchase_core(h(e),h(t),h(n))}static randomDecimalForTesting(e){if(Math.random()*20<1)return R(0,0,0);const t=Math.random()>.5?1:-1;if(Math.random()*20<1)return R(t,0,1);const n=Math.floor(Math.random()*(e+1));let r=n===0?Math.random()*616-308:Math.random()*16;Math.random()>.9&&(r=Math.trunc(r));let i=Math.pow(10,r);return Math.random()>.9&&(i=Math.trunc(i)),O(t,n,i)}static affordGeometricSeries_core(e,t,n,r){const i=t.mul(n.pow(r));return f.floor(e.div(i).mul(n.sub(1)).add(1).log10().div(n.log10()))}static sumGeometricSeries_core(e,t,n,r){return t.mul(n.pow(r)).mul(f.sub(1,n.pow(e))).div(f.sub(1,n))}static affordArithmeticSeries_core(e,t,n,r){const s=t.add(r.mul(n)).sub(n.div(2)),o=s.pow(2);return s.neg().add(o.add(n.mul(e).mul(2)).sqrt()).div(n).floor()}static sumArithmeticSeries_core(e,t,n,r){const i=t.add(r.mul(n));return e.div(2).mul(i.mul(2).plus(e.sub(1).mul(n)))}static efficiencyOfPurchase_core(e,t,n){return e.div(t).add(e.div(n))}normalize(){if(this.sign===0||this.mag===0&&this.layer===0)return this.sign=0,this.mag=0,this.layer=0,this;if(this.layer===0&&this.mag<0&&(this.mag=-this.mag,this.sign=-this.sign),this.layer===0&&this.mag<zr)return this.layer+=1,this.mag=Math.log10(this.mag),this;let e=Math.abs(this.mag),t=Math.sign(this.mag);if(e>=Br)return this.layer+=1,this.mag=t*Math.log10(e),this;for(;e<Ur&&this.layer>0;)this.layer-=1,this.layer===0?this.mag=Math.pow(10,this.mag):(this.mag=t*Math.pow(10,e),e=Math.abs(this.mag),t=Math.sign(this.mag));return this.layer===0&&(this.mag<0?(this.mag=-this.mag,this.sign=-this.sign):this.mag===0&&(this.sign=0)),this}fromComponents(e,t,n){return this.sign=e,this.layer=t,this.mag=n,this.normalize(),this}fromComponents_noNormalize(e,t,n){return this.sign=e,this.layer=t,this.mag=n,this}fromMantissaExponent(e,t){return this.layer=1,this.sign=Math.sign(e),e=Math.abs(e),this.mag=t+Math.log10(e),this.normalize(),this}fromMantissaExponent_noNormalize(e,t){return this.fromMantissaExponent(e,t),this}fromDecimal(e){return this.sign=e.sign,this.layer=e.layer,this.mag=e.mag,this}fromNumber(e){return this.mag=Math.abs(e),this.sign=Math.sign(e),this.layer=0,this.normalize(),this}fromString(e){const t=e,n=f.fromStringCache.get(t);if(n!==void 0)return this.fromDecimal(n);e=e.replace(",","");const r=e.split("^^^");if(r.length===2){const I=parseFloat(r[0]),C=parseFloat(r[1]),G=r[1].split(";");let Y=1;if(G.length===2&&(Y=parseFloat(G[1]),isFinite(Y)||(Y=1)),isFinite(I)&&isFinite(C)){const S=f.pentate(I,C,Y);return this.sign=S.sign,this.layer=S.layer,this.mag=S.mag,f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this}}const i=e.split("^^");if(i.length===2){const I=parseFloat(i[0]),C=parseFloat(i[1]),G=i[1].split(";");let Y=1;if(G.length===2&&(Y=parseFloat(G[1]),isFinite(Y)||(Y=1)),isFinite(I)&&isFinite(C)){const S=f.tetrate(I,C,Y);return this.sign=S.sign,this.layer=S.layer,this.mag=S.mag,f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this}}const s=e.split("^");if(s.length===2){const I=parseFloat(s[0]),C=parseFloat(s[1]);if(isFinite(I)&&isFinite(C)){const G=f.pow(I,C);return this.sign=G.sign,this.layer=G.layer,this.mag=G.mag,f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this}}e=e.trim().toLowerCase();let o,u,d=e.split("pt");if(d.length===2){o=10,u=parseFloat(d[0]),d[1]=d[1].replace("(",""),d[1]=d[1].replace(")","");let I=parseFloat(d[1]);if(isFinite(I)||(I=1),isFinite(o)&&isFinite(u)){const C=f.tetrate(o,u,I);return this.sign=C.sign,this.layer=C.layer,this.mag=C.mag,f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this}}if(d=e.split("p"),d.length===2){o=10,u=parseFloat(d[0]),d[1]=d[1].replace("(",""),d[1]=d[1].replace(")","");let I=parseFloat(d[1]);if(isFinite(I)||(I=1),isFinite(o)&&isFinite(u)){const C=f.tetrate(o,u,I);return this.sign=C.sign,this.layer=C.layer,this.mag=C.mag,f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this}}const g=e.split("e"),b=g.length-1;if(b===0){const I=parseFloat(e);if(isFinite(I))return this.fromNumber(I),f.fromStringCache.size>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this}else if(b===1){const I=parseFloat(e);if(isFinite(I)&&I!==0)return this.fromNumber(I),f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this}const v=e.split("e^");if(v.length===2){this.sign=1,v[0].charAt(0)=="-"&&(this.sign=-1);let I="";for(let C=0;C<v[1].length;++C){const G=v[1].charCodeAt(C);if(G>=43&&G<=57||G===101)I+=v[1].charAt(C);else return this.layer=parseFloat(I),this.mag=parseFloat(v[1].substr(C+1)),this.normalize(),f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this}}if(b<1)return this.sign=0,this.layer=0,this.mag=0,f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this;const N=parseFloat(g[0]);if(N===0)return this.sign=0,this.layer=0,this.mag=0,f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this;let k=parseFloat(g[g.length-1]);if(b>=2){const I=parseFloat(g[g.length-2]);isFinite(I)&&(k*=Math.sign(I),k+=Tt(I))}if(!isFinite(N))this.sign=g[0]==="-"?-1:1,this.layer=b,this.mag=k;else if(b===1)this.sign=Math.sign(N),this.layer=1,this.mag=k+Math.log10(Math.abs(N));else if(this.sign=Math.sign(N),this.layer=b,b===2){const I=f.mul(O(1,2,k),h(N));return this.sign=I.sign,this.layer=I.layer,this.mag=I.mag,f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this}else this.mag=k;return this.normalize(),f.fromStringCache.maxSize>=1&&f.fromStringCache.set(t,f.fromDecimal(this)),this}fromValue(e){return e instanceof f?this.fromDecimal(e):typeof e=="number"?this.fromNumber(e):typeof e=="string"?this.fromString(e):(this.sign=0,this.layer=0,this.mag=0,this)}toNumber(){return Number.isFinite(this.layer)?this.layer===0?this.sign*this.mag:this.layer===1?this.sign*Math.pow(10,this.mag):this.mag>0?this.sign>0?Number.POSITIVE_INFINITY:Number.NEGATIVE_INFINITY:0:Number.NaN}mantissaWithDecimalPlaces(e){return isNaN(this.m)?Number.NaN:this.m===0?0:xe(this.m,e)}magnitudeWithDecimalPlaces(e){return isNaN(this.mag)?Number.NaN:this.mag===0?0:xe(this.mag,e)}toString(){return isNaN(this.layer)||isNaN(this.sign)||isNaN(this.mag)?"NaN":this.mag===Number.POSITIVE_INFINITY||this.layer===Number.POSITIVE_INFINITY?this.sign===1?"Infinity":"-Infinity":this.layer===0?this.mag<1e21&&this.mag>1e-7||this.mag===0?(this.sign*this.mag).toString():this.m+"e"+this.e:this.layer===1?this.m+"e"+this.e:this.layer<=en?(this.sign===-1?"-":"")+"e".repeat(this.layer)+this.mag:(this.sign===-1?"-":"")+"(e^"+this.layer+")"+this.mag}toExponential(e){return this.layer===0?(this.sign*this.mag).toExponential(e):this.toStringWithDecimalPlaces(e)}toFixed(e){return this.layer===0?(this.sign*this.mag).toFixed(e):this.toStringWithDecimalPlaces(e)}toPrecision(e){return this.e<=-7?this.toExponential(e-1):e>this.e?this.toFixed(e-this.exponent-1):this.toExponential(e-1)}valueOf(){return this.toString()}toJSON(){return this.toString()}toStringWithDecimalPlaces(e){return this.layer===0?this.mag<1e21&&this.mag>1e-7||this.mag===0?(this.sign*this.mag).toFixed(e):xe(this.m,e)+"e"+xe(this.e,e):this.layer===1?xe(this.m,e)+"e"+xe(this.e,e):this.layer<=en?(this.sign===-1?"-":"")+"e".repeat(this.layer)+xe(this.mag,e):(this.sign===-1?"-":"")+"(e^"+this.layer+")"+xe(this.mag,e)}abs(){return R(this.sign===0?0:1,this.layer,this.mag)}neg(){return R(-this.sign,this.layer,this.mag)}negate(){return this.neg()}negated(){return this.neg()}sgn(){return this.sign}round(){return this.mag<0?f.dZero:this.layer===0?O(this.sign,0,Math.round(this.mag)):this}floor(){return this.mag<0?f.dZero:this.layer===0?O(this.sign,0,Math.floor(this.mag)):this}ceil(){return this.mag<0?f.dZero:this.layer===0?O(this.sign,0,Math.ceil(this.mag)):this}trunc(){return this.mag<0?f.dZero:this.layer===0?O(this.sign,0,Math.trunc(this.mag)):this}add(e){const t=h(e);if(!Number.isFinite(this.layer))return this;if(!Number.isFinite(t.layer)||this.sign===0)return t;if(t.sign===0)return this;if(this.sign===-t.sign&&this.layer===t.layer&&this.mag===t.mag)return R(0,0,0);let n,r;if(this.layer>=2||t.layer>=2)return this.maxabs(t);if(f.cmpabs(this,t)>0?(n=this,r=t):(n=t,r=this),n.layer===0&&r.layer===0)return f.fromNumber(n.sign*n.mag+r.sign*r.mag);const i=n.layer*Math.sign(n.mag),s=r.layer*Math.sign(r.mag);if(i-s>=2)return n;if(i===0&&s===-1){if(Math.abs(r.mag-Math.log10(n.mag))>Ft)return n;{const o=Math.pow(10,Math.log10(n.mag)-r.mag),u=r.sign+n.sign*o;return O(Math.sign(u),1,r.mag+Math.log10(Math.abs(u)))}}if(i===1&&s===0){if(Math.abs(n.mag-Math.log10(r.mag))>Ft)return n;{const o=Math.pow(10,n.mag-Math.log10(r.mag)),u=r.sign+n.sign*o;return O(Math.sign(u),1,Math.log10(r.mag)+Math.log10(Math.abs(u)))}}if(Math.abs(n.mag-r.mag)>Ft)return n;{const o=Math.pow(10,n.mag-r.mag),u=r.sign+n.sign*o;return O(Math.sign(u),1,r.mag+Math.log10(Math.abs(u)))}}plus(e){return this.add(e)}sub(e){return this.add(h(e).neg())}subtract(e){return this.sub(e)}minus(e){return this.sub(e)}mul(e){const t=h(e);if(!Number.isFinite(this.layer))return this;if(!Number.isFinite(t.layer))return t;if(this.sign===0||t.sign===0)return R(0,0,0);if(this.layer===t.layer&&this.mag===-t.mag)return R(this.sign*t.sign,0,1);let n,r;if(this.layer>t.layer||this.layer==t.layer&&Math.abs(this.mag)>Math.abs(t.mag)?(n=this,r=t):(n=t,r=this),n.layer===0&&r.layer===0)return f.fromNumber(n.sign*r.sign*n.mag*r.mag);if(n.layer>=3||n.layer-r.layer>=2)return O(n.sign*r.sign,n.layer,n.mag);if(n.layer===1&&r.layer===0)return O(n.sign*r.sign,1,n.mag+Math.log10(r.mag));if(n.layer===1&&r.layer===1)return O(n.sign*r.sign,1,n.mag+r.mag);if(n.layer===2&&r.layer===1){const i=O(Math.sign(n.mag),n.layer-1,Math.abs(n.mag)).add(O(Math.sign(r.mag),r.layer-1,Math.abs(r.mag)));return O(n.sign*r.sign,i.layer+1,i.sign*i.mag)}if(n.layer===2&&r.layer===2){const i=O(Math.sign(n.mag),n.layer-1,Math.abs(n.mag)).add(O(Math.sign(r.mag),r.layer-1,Math.abs(r.mag)));return O(n.sign*r.sign,i.layer+1,i.sign*i.mag)}throw Error("Bad arguments to mul: "+this+", "+e)}multiply(e){return this.mul(e)}times(e){return this.mul(e)}div(e){const t=h(e);return this.mul(t.recip())}divide(e){return this.div(e)}divideBy(e){return this.div(e)}dividedBy(e){return this.div(e)}recip(){return this.mag===0?f.dNaN:this.layer===0?O(this.sign,0,1/this.mag):O(this.sign,this.layer,-this.mag)}reciprocal(){return this.recip()}reciprocate(){return this.recip()}cmp(e){const t=h(e);return this.sign>t.sign?1:this.sign<t.sign?-1:this.sign*this.cmpabs(e)}cmpabs(e){const t=h(e),n=this.mag>0?this.layer:-this.layer,r=t.mag>0?t.layer:-t.layer;return n>r?1:n<r?-1:this.mag>t.mag?1:this.mag<t.mag?-1:0}compare(e){return this.cmp(e)}isNan(){return isNaN(this.sign)||isNaN(this.layer)||isNaN(this.mag)}isFinite(){return isFinite(this.sign)&&isFinite(this.layer)&&isFinite(this.mag)}eq(e){const 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