UniswapV3計算當前美金在設定的價格帶需要兌換多少數量的 eth

getTokenAmountsFromDepositAmounts.py

# coding=utf-8
import os,sys
import time
import math

cprice_eth = 3840
cprice_matic = 1.565
lower = 2000
upper = 2991
initCapital = 6197 # 初始資金(美金)

def getTokenAmountsFromDepositAmounts(
  P, # 當前幣價
  Pl, # 下界
  Pu, # 上界
  priceUSDX, # 幣種1對美元
  priceUSDY, # 幣種2對美元
  targetAmounts # 投入資金美金計價
):
  deltaL = targetAmounts / ((math.sqrt(P) - math.sqrt(Pl)) * priceUSDY + 
          (1 / math.sqrt(P) - 1 / math.sqrt(Pu)) * priceUSDX)

  deltaY = deltaL * (math.sqrt(P) - math.sqrt(Pl))
  if (deltaY * priceUSDY < 0):
    deltaY = 0
  if (deltaY * priceUSDY > targetAmounts): 
    deltaY = targetAmounts / priceUSDY

  deltaX = deltaL * (1 / math.sqrt(P) - 1 / math.sqrt(Pu))
  if (deltaX * priceUSDX < 0):
    deltaX = 0;
  if (deltaX * priceUSDX > targetAmounts):
    deltaX = targetAmounts / priceUSDX

  #actualLQ = amt1 / (math.sqrt(upper) - math.sqrt(lower))

  return deltaX,deltaY


amt1,amt2 = getTokenAmountsFromDepositAmounts(cprice_eth/cprice_matic, lower, upper, cprice_eth, cprice_matic, initCapital)