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Optimized favor calculations.
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// The initial formulas was sum 0 to f of 500*1.02^f.
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// These formulas were derived on wolfram alpha.
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// see https://en.wikipedia.org/wiki/Geometric_series#Closed-form_formula
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// for information on how to calculate this
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// Wolfram Alpha: sum from 0 to n of 500*1.02^n
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// 500 * ((pow(51, f+1)) / pow(50,f) - 50)
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// Then we use https://herbie.uwplse.org/demo/ to simplify it and prevent
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// Infinity issues.
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export function favorToRep(f: number): number {
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function fma(a: number, b: number, c: number): number {
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return a * b + c;
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}
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const ex = fma(f - 1, Math.log(51.0) - Math.log(50.0), Math.log(51.0));
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const raw = fma(500.0, Math.exp(ex), -25000.0);
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const raw = 25000 * (Math.pow(1.02, f) - 1);
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return Math.round(raw * 10000) / 10000; // round to make things easier.
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}
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// Wolfram Alpha: 500 (50^(-n) 51^(n + 1) - 50) solve for n
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export function repToFavor(r: number): number {
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const raw = Math.log((r + 25000) / 25500) / Math.log(1.02) + 1;
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const raw = Math.log(r / 25000 + 1) / Math.log(1.02);
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return Math.round(raw * 10000) / 10000; // round to make things easier.
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}
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