mintParams.lower = 100000
mintParams.upper = 500000
mintParams.amount1Desired = (1 << 128) - 47541305835 # a carefully chosen number
mintParams.amount0Desired = 0
_liquidity = mintParams.amount1Desired * (1 << 96) // (priceUpper - priceLower)
    = 4731732988155153573010127839
amount0Actual = 0
amount1Actual = uint128(DyDxMath.getDy(_liquidity, priceLower, priceUpper, true))
    = uint128(_liquidity * (priceUpper - priceLower) // (1 << 96)) # round up
    = uint128(340282366920938463463374607384226905622)
    = 340282366920938463463374607384226905622
    = (1 << 128) - 47541305834
