PDA

View Full Version : [Java] Why Does 10.2 + 9.9 = huge decimal?



TreeFinger
March 17th, 2008, 06:29 AM
Running the following code:



float number1, number2, sum, diff, product;
Scanner inputIntegers = new Scanner(System.in);

System.out.println("Enter 2 decimal point numbers; each followed by enter:");
number1 = inputIntegers.nextFloat();
number2 = inputIntegers.nextFloat();
sum = number1 + number2;
diff = number1 - number2;
product = number1 * number2;

System.out.println("Sum: " + sum);
System.out.println("Difference: " + diff);
System.out.println("Product: " + product);
}


with first input of: 10.2
second input of: 9.9

gives me this output:
Sum: 20.099998
Difference: 0.3000002
Product: 100.979996

Why? Other numbers are producing the same type of output. While others are not.

lnostdal
March 17th, 2008, 06:31 AM
http://docs.sun.com/source/806-3568/ncg_goldberg.html

TreeFinger
March 17th, 2008, 07:54 AM
http://docs.sun.com/source/806-3568/ncg_goldberg.html

Would you be able to tell me if I am doing something wrong? The problem asks for two floating point numbers to be used. I read the previous chapters and I don't see anything about this happening.

jespdj
March 17th, 2008, 09:05 AM
The point of lnostdal's link is this:

Floating-point numbers in Java, like in many other programming languages, are represented using the IEEE 754 (http://en.wikipedia.org/wiki/IEEE_754-1985) standard. Floating-point numbers in computers are not infinitely precise. Rounding errors happen when you do calculations with floating-point numbers.

Not all numbers can be accurately stored using the IEEE 754 floating-point format. You happen to be using some numbers that can't be accurately stored.

One solution is to format the number you're printing to the screen with a limited number of decimals:


System.out.printf("Sum: %.3f%n", sum);
System.out.printf("Difference: %.3f%n", diff);
System.out.printf("Product: %.3f%n", product);