如何检查一个双精度数是否有java舍入？

double number = 1.23456789;
BigDecimal originalValue = BigDecimal.valueOf(number);
BigDecimal roundedValue = BigDecimal.valueOf(number).setScale(2, RoundingMode.HALF_UP);

if (originalValue.compareTo(roundedValue) == 0) {
    System.out.println("No rounding occurred.");
} else {
    System.out.println("Rounding occurred.");
}

double number = 1.23456789;
double roundedValue = Math.round(number * 100) / 100.0;

if (number == roundedValue) {
    System.out.println("No rounding occurred.");
} else {
    System.out.println("Rounding occurred.");
}