If the precision of the basic integer and floating -point types is not sufficient, you cancturn to a couple of handy classes in the java.math package: BigInteger and BigDecimal. Thesecare classes for manipulating numbers with an arbitrarily long sequence of digits. The cBig Integer class implements arbitrary precision integer arithmetic, and BigDecimal does thecsame for floating -point numbers.
Use the static valueOf method to turn an ordinary number into a big number:
Unfortunately, you cannot use the familiar mathematical operators such as + and * to combine big numbers. Instead, you must use methods such as add and multiply in the big number classes.
C++ NOTE: Unlike C++, Java has no programmable operator overloading. There was no way for the programmer of the BigInteger class to redefine the + and * operators to give the add and multiply operations of the BigInteger classes. The language designers did overload the + operator to denote concatenation of strings. They chose not to overload other operators, and they did not give Java programmers the opportunity to overload operators in their own classes.
Listing 6 shows a modification of the lottery odds program of Listing 5, updated tonwork with big numbers. For example, if you are invited to participate in a lottery in which you need to pick 60 numbers out of a possible 490 numbers, then this program will tell you that your odds are 1 in
7 1 6 3 9 5 8 4 3 4 6 1 9 9 5 5 5 7 4 1 5 1 1 6 2 2 2 5 4 0 0 9 2 9 3 3 4 1 1 7 1 7 6
1 2 7 8 9 2 6 3 4 9 3 4 9 3 3 5 1 0 1 3 4 5 9 4 8 1 1 0 4 6 6 8 8 4 8. Good luck
The program in LotteryOdds.java computed the statement
When big numbers are used, the equivalent statement becomes
lottery Odds = lottery Odds .multiply (BigInteger .valueOf (n - i + 1) ) .divide
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Core Java Tutorial
An Introduction To Java
The Java Programming Environment
Fundamental Programming Structures In Java
Objects And Classes
Interfaces And Inner Classes
User Interface Components With Swing
Deploying Applications And Applets
Exceptions, Logging, Assertions, And Debugging
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