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Numerical Analysis

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The numerical analysis module contains functions for approximating the inverse of a function, calculating the sum of a function, and rounding a number to the nearest power of a specified base.

These functions are used internally when calculating the cost and amount of upgrades.

Usage​

To use the numerical analysis module, import it from emath.js:

import { inverseFunctionApprox, calculateSum, roundingBase } from "emath.js";

inverseFunctionApprox​

The inverseFunctionApprox function approximates the inverse of a function at n.

inverseFunctionApprox.js
const f = (x) => x.pow(2);
const inverse = inverseFunctionApprox(f, 16);
console.log(inverse.value); // ~4

calculateSum​

The calculateSum function calculates the sum of f(n) from a to b.

calculateSum.js
const f = (x) => x.pow(2);
const sum = calculateSum(f, 10);
console.log(sum); // ~385

roundingBase​

The roundingBase function rounds a number to the nearest power of a specified base.

roundingBase.js
console.log(roundingBase(123456789, 10, 0, 10)); // 120000000
console.log(roundingBase(123456789, 10, 1, 10)); // 123000000
console.log(roundingBase(123456789, 10, 2, 10)); // 123460000
console.log(roundingBase(245, 2, 0, 10)); // 256