mirror of
https://github.com/thepaperpilot/Advent-Incremental.git
synced 2024-12-03 13:21:31 +00:00
15 lines
108 KiB
JavaScript
15 lines
108 KiB
JavaScript
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i=0;i<100;++i){if(s=(e*Math.exp(-n)+n*n)/(n+1),Math.abs(s-n)<t*Math.abs(s))return s;n=s}throw Error(`Iteration failed to converge: ${e.toString()}`)};function fn(e,t=1e-10){let n,s,i,r;if(!Number.isFinite(e.mag)||e===h.dZero)return e;if(e===h.dOne)return f(Nn);h.abs(e),n=h.ln(e);for(let l=0;l<100;++l){if(s=h.exp(-n),i=n.sub(e.mul(s)),r=n.sub(i.div(n.add(1).sub(n.add(2).mul(i).div(h.mul(2,n).add(2))))),h.abs(r.sub(n)).lt(h.abs(r).mul(t)))return r;n=r}throw Error(`Iteration failed to converge: ${e.toString()}`)}const y=class{constructor(e){this.sign=Number.NaN,this.mag=Number.NaN,this.layer=Number.NaN,e instanceof y||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/Bs(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 y().fromComponents(e,t,n)}static fromComponents_noNormalize(e,t,n){return new y().fromComponents_noNormalize(e,t,n)}static fromMantissaExponent(e,t){return new y().fromMantissaExponent(e,t)}static fromMantissaExponent_noNormalize(e,t){return new y().fromMantissaExponent_noNormalize(e,t)}static fromDecimal(e){return new y().fromDecimal(e)}static fromNumber(e){return new y().fromNumber(e)}static fromString(e){return new y().fromString(e)}static fromValue(e){return new y().fromValue(e)}static fromValue_noAlloc(e){return e instanceof y?e:new y(e)}static abs(e){return f(e).abs()}static neg(e){return f(e).neg()}static negate(e){return f(e).neg()}static negated(e){return f(e).neg()}static sign(e){return f(e).sign}static sgn(e){return f(e).sign}static round(e){return f(e).round()}static floor(e){return f(e).floor()}static ceil(e){return f(e).ceil()}static trunc(e){return f(e).trunc()}static add(e,t){return f(e).add(t)}static plus(e,t){return f(e).add(t)}static sub(e,t){return f(e).sub(t)}static subtract(e,t){return f(e).sub(t)}static minus(e,t){return f(e).sub(t)}static mul(e,t){return f(e).mul(t)}static multiply(e,t){return f(e).mul(t)}static times(e,t){return f(e).mul(t)}static div(e,t){return f(e).div(t)}static divide(e,t){return f(e).div(t)}static recip(e){return f(e).recip()}static reciprocal(e){return f(e).recip()}static reciprocate(e){return f(e).reciprocate()}static cmp(e,t){return f(e).cmp(t)}static cmpabs(e,t){return f(e).cmpabs(t)}static compare(e,t){return f(e).cmp(t)}static isNaN(e){return e=f(e),isNaN(e.sign)||isNaN(e.layer)||isNaN(e.mag)}static isFinite(e){return e=f(e),isFinite(e.sign)&&isFinite(e.layer)&&isFinite(e.mag)}static eq(e,t){return f(e).eq(t)}static equals(e,t){return f(e).eq(t)}static neq(e,t){return f(e).neq(t)}static notEquals(e,t){return f(e).notEquals(t)}static lt(e,t){return f(e).lt(t)}static lte(e,t){return f(e).lte(t)}static gt(e,t){return f(e).gt(t)}static gte(e,t){return f(e).gte(t)}static max(e,t){return f(e).max(t)}static min(e,t){return f(e).min(t)}static minabs(e,t){return f(e).minabs(t)}static maxabs(e,t){return f(e).maxabs(t)}static clamp(e,t,n){return f(e).clamp(t,n)}static clampMin(e,t){return f(e).clampMin(t)}static clampMax(e,t){return f(e).clampMax(t)}static cmp_tolerance(e,t,n){return f(e).cmp_tolerance(t,n)}static compare_tolerance(e,t,n){return f(e).cmp_tolerance(t,n)}static eq_tolerance(e,t,n){return f(e).eq_tolerance(t,n)}static equals_tolerance(e,t,n){return f(e).eq_tolerance(t,n)}static neq_tolerance(e,t,n){return f(e).neq_tolerance(t,n)}static notEquals_tolerance(e,t,n){return f(e).notEquals_tolerance(t,n)}static lt_tolerance(e,t,n){return f(e).lt_tolerance(t,n)}static lte_tolerance(e,t,n){return f(e).lte_tolerance(t,n)}static gt_tolerance(e,t,n){return f(e).gt_tolerance(t,n)}static gte_tolerance(e,t,n){return f(e).gte_tolerance(t,n)}static pLog10(e){return f(e).pLog10()}static absLog10(e){return f(e).absLog10()}static log10(e){return f(e).log10()}static log(e,t){return f(e).log(t)}static log2(e){return f(e).log2()}static ln(e){return f(e).ln()}static logarithm(e,t){return f(e).logarithm(t)}static pow(e,t){return f(e).pow(t)}static pow10(e){return f(e).pow10()}static root(e,t){return f(e).root(t)}static factorial(e,t){return f(e).factorial()}static gamma(e,t){return f(e).gamma()}static lngamma(e,t){return f(e).lngamma()}static exp(e){return f(e).exp()}static sqr(e){return f(e).sqr()}static sqrt(e){return f(e).sqrt()}static cube(e){return f(e).cube()}static cbrt(e){return f(e).cbrt()}static tetrate(e,t=2,n=x(1,0,1)){return f(e).tetrate(t,n)}static iteratedexp(e,t=2,n=x(1,0,1)){return f(e).iteratedexp(t,n)}static iteratedlog(e,t=10,n=1){return f(e).iteratedlog(t,n)}static layeradd10(e,t){return f(e).layeradd10(t)}static layeradd(e,t,n=10){return f(e).layeradd(t,n)}static slog(e,t=10){return f(e).slog(t)}static lambertw(e){return f(e).lambertw()}static ssqrt(e){return f(e).ssqrt()}static pentate(e,t=2,n=x(1,0,1)){return f(e).pentate(t,n)}static affordGeometricSeries(e,t,n,s){return this.affordGeometricSeries_core(f(e),f(t),f(n),s)}static sumGeometricSeries(e,t,n,s){return this.sumGeometricSeries_core(e,f(t),f(n),s)}static affordArithmeticSeries(e,t,n,s){return this.affordArithmeticSeries_core(f(e),f(t),f(n),f(s))}static sumArithmeticSeries(e,t,n,s){return this.sumArithmeticSeries_core(f(e),f(t),f(n),f(s))}static efficiencyOfPurchase(e,t,n){return this.efficiencyOfPurchase_core(f(e),f(t),f(n))}static randomDecimalForTesting(e){if(Math.random()*20<1)return x(0,0,0);const t=Math.random()>.5?1:-1;if(Math.random()*20<1)return x(t,0,1);const n=Math.floor(Math.random()*(e+1));let s=n===0?Math.random()*616-308:Math.random()*16;Math.random()>.9&&(s=Math.trunc(s));let i=Math.pow(10,s);return Math.random()>.9&&(i=Math.trunc(i)),D(t,n,i)}static affordGeometricSeries_core(e,t,n,s){const i=t.mul(n.pow(s));return y.floor(e.div(i).mul(n.sub(1)).add(1).log10().div(n.log10()))}static sumGeometricSeries_core(e,t,n,s){return t.mul(n.pow(s)).mul(y.sub(1,n.pow(e))).div(y.sub(1,n))}static affordArithmeticSeries_core(e,t,n,s){const r=t.add(s.mul(n)).sub(n.div(2)),l=r.pow(2);return r.neg().add(l.add(n.mul(e).mul(2)).sqrt()).div(n).floor()}static sumArithmeticSeries_core(e,t,n,s){const i=t.add(s.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<Ls)return this.layer+=1,this.mag=Math.log10(this.mag),this;let e=Math.abs(this.mag),t=Math.sign(this.mag);if(e>=Vs)return this.layer+=1,this.mag=t*Math.log10(e),this;for(;e<xs&&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 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