The following class shows how you can comparison two dates  without considering their absolute time i.e only considering their days:

import java.util.Date;
import java.util.Calendar;
public class DateComparisonTest {
    /**
     * Compares the two given date  without taking the hour and minute in to account
     * So comparing two dates with 1 hour difference will return 0 which means that
     * both dates are equal. 1 is returned if <code>date1<code> is after  <code>date2<code>
     * and -1 if date2 is after date1
     *
     * @param date1
     * @param date2
     * @return 1 if date1 is after date2 -1 if date1 is before date2 and 0 if date1 equals date2
     * @see java.util.Date#compareTo(java.util.Date)
     */
    public static int compare(Date date1, Date date2) {
        Calendar cal1 = Calendar.getInstance();
        cal1.setTime(date1);
        Calendar cal2 = Calendar.getInstance();
        cal2.setTime(date2);
        int year1 = cal1.get(Calendar.YEAR);
        int year2 = cal2.get(Calendar.YEAR);
        int day1 = cal1.get(Calendar.DAY_OF_YEAR);
        int day2 = cal2.get(Calendar.DAY_OF_YEAR);
        if (year1 == year2) {
            if (day1 == day2) {
                return 0;
            }
            else {
                if (day1 > day2) {
                    return 1;
                }
                else {
                    return -1;
                }
            }
        }
        else if (year1 > year2) {
            return 1;
        }
        else {
            return -1;
        }
    }

    public static void main(String[] args) {
        Date today = new Date();
        Calendar cal = Calendar.getInstance();
        cal.setTime(today);
        int d = cal.get(Calendar.DAY_OF_YEAR);
        cal.set(Calendar.DAY_OF_YEAR, d - 5);
        Date fiveDaysAgo = cal.getTime();
        if (compare(today, fiveDaysAgo) > 0) {
            System.out.println("today is after 5 days  ago! ");
        }
        if (compare(fiveDaysAgo, today) < 0) {
            System.out.println("5 days ago is before today! ");
        }

        cal.setTime(today);
        int hourOfDay= cal.get(Calendar.HOUR_OF_DAY);
        cal.set(Calendar.HOUR_OF_DAY,hourOfDay+2);
        Date stillToday= cal.getTime();
        if (compare(today, stillToday) == 0) {
            System.out.println("today is just today! ");
        }
    }
}