@dojima-wallet/connection/lib/swap_utils/input.ts

Initialise and connection for layer 1&2 blockchain

// The swap formula can be reversed to specify what needs to be deposited to get a certain output.

import { PoolData } from "./types";

export const calcSwapInput = (
  toDoj: boolean,
  pool: PoolData,
  outputAmount: number
): number => {
  // formula: (((X*Y)/y - 2*X) - sqrt(((X*Y)/y - 2*X)^2 - 4*X^2))/2
  // (part1 - sqrt(part1 - part2))/2
  const X = toDoj ? Number(pool.balance_asset) : Number(pool.balance_doj); // input is asset if toDoj
  const Y = toDoj ? Number(pool.balance_doj) : Number(pool.balance_asset); // output is doj if toDoj
  const y = outputAmount;
  const part1 = (X * Y) / y - 2 * X;
  const part2 = Math.pow(X, 2) * 4;
  const result = part1 - Math.sqrt(Math.pow(part1, 2) - part2) / 2;
  return result;
};