Fix 180 favor issue, reworked favor and reputation mathjax

src/Faction/formulas/favor.ts

@@ -2,8 +2,15 @@
 // These formulas were derived on wolfram alpha.
 
 // Wolfram Alpha: sum from 0 to n of 500*1.02^n
+// 500 * ((pow(51, f+1)) / pow(50,f) - 50)
+// Then we use https://herbie.uwplse.org/demo/ to simplify it and prevent
+// Infinity issues.
 export function favorToRep(f: number): number {
-    return 500 * ((Math.pow(51, f+1)) / Math.pow(50,f) - 50);
+    function fma(a: number, b: number, c: number): number {
+        return a * b + c;
+    }
+    const ex = fma(f, (Math.log(51.0) - Math.log(50.0)), Math.log(51.0));
+    return fma(500.0, Math.exp(ex), -25000.0);
 }
 
 // Wolfram Alpha: 500 (50^(-n) 51^(n + 1) - 50) solve for n