function testDepositRatioOutsideExpectedInterval(uint256 x0, uint256 y0, uint256 s0, uint256 depositedAmount) public {
  int128 MIN_M = 0x00000000000002af31dc461;
  uint256 INT_MAX_SQRT = 0xb504f333f9de6484597d89b3754abe9f;

  vm.assume(x0 >= MIN_BALANCE && x0 <= INT_MAX_SQRT);
  vm.assume(y0 >= MIN_BALANCE && y0 <= INT_MAX_SQRT);
  vm.assume(s0 >= MIN_BALANCE && s0 <= INT_MAX_SQRT);
  vm.assume(depositedAmount >= MIN_OPERATING_AMOUNT && depositedAmount < INT_MAX_SQRT && depositedAmount >= 2 * uint256(FIXED_FEE));
  vm.assume(y0/x0 <= MAX_BALANCE_AMOUNT_RATIO);
  vm.assume(x0/y0 <= MAX_BALANCE_AMOUNT_RATIO);
  vm.assume(int256(y0).divi(int256(x0) + int256(depositedAmount)) < MIN_M);   // breaks the invariant
  SpecifiedToken depositedToken = SpecifiedToken.X;
  
  vm.expectRevert();  // There should be at least one case that call did not revert as expected
  DUT.depositGivenInputAmount(
      x0,
      y0,
      s0,
      depositedAmount,
      depositedToken
  );
}

function testWithdrawRatioOutsideExpectedInterval(uint256 x0, uint256 y0, uint256 s0, uint256 withdrawnAmount) public {
  int128 MIN_M = 0x00000000000002af31dc461;
  uint256 INT_MAX_SQRT = 0xb504f333f9de6484597d89b3754abe9f;

  vm.assume(x0 >= MIN_BALANCE && x0 <= INT_MAX_SQRT);
  vm.assume(y0 >= MIN_BALANCE && y0 <= INT_MAX_SQRT);
  vm.assume(s0 >= MIN_BALANCE && s0 <= INT_MAX_SQRT);
  vm.assume(withdrawnAmount >= MIN_OPERATING_AMOUNT && withdrawnAmount < INT_MAX_SQRT && withdrawnAmount >= 2 * uint256(FIXED_FEE));
  vm.assume(y0/x0 <= MAX_BALANCE_AMOUNT_RATIO);
  vm.assume(x0/y0 <= MAX_BALANCE_AMOUNT_RATIO);
  vm.assume(withdrawnAmount < y0);    // no more than balance
  vm.assume((int256(y0) - int256(withdrawnAmount)).divi(int256(x0)) < MIN_M);   // breaks the invariant
  SpecifiedToken withdrawnToken = SpecifiedToken.Y;
  
  vm.expectRevert();  // There should be at least one case that call did not revert as expected
  DUT.withdrawGivenOutputAmount(
      x0,
      y0,
      s0,
      withdrawnAmount,
      withdrawnToken
  );
}
