1.6. Casting and Ranges of Variables¶
In Java, type casting is used to convert variables from one type to another. By casting we don’t mean something to do with fishing, but it is a similar idea to casting a pot in clay. In Java when you cast you are changing the “shape” (or type) of the variable.
The casting operators (int) and (double) are used right next to a number or variable to create a temporary value converted to a different data type. For example,
(double) 1/3 will give a double result instead of an int one. Run this code to find how Java handles division and what casting can do to the results. Notice what happens when you divide an int by an int or an int by a double or an int casted to a double divided by an int.
What happens when you divide an int by an int or with a double operand or with the type cast (double) on one of the operands?
Java assumes that if you are doing division with integers that you want an integer result and it will truncate and throw away the part after the decimal point. But, if you use a mixture of integers (int) and decimal (double) numbers Java will assume that you want a double result. If there is at least one double in the operation, Java will widen the type of the other operand to double too and return the result in a double. If you have integers and you want a double result from some mathematical operation cast one of the integers to a double using (double) as shown above.
Values of type double can be rounded to the nearest integer by adding or subtracting .5 and casting with (int) using formulas like the following.
int nearestInt = (int)(number + 0.5); int nearestNegInt = (int)(negNumber – 0.5);
For example, if you divide 5/3 using integer division, Java will truncate 1.67 to 1 to give an int result. However, we usually round up any answer .5 and above. Using the formula above, if we add 1.67 + 0.50, we get 2.17 and then casting it to an int throws away what’s after the decimal point, just leaving 2.
Run the code below to see how the formula of adding or subtracting .5 and then casting with (int) rounds a positive or negative double number to the closest int.
What happens to repeating decimal numbers like 3.333333…? Java limits the number of digits you can save for any
double number to about 14-15 digits. You should be aware that the accuracy of any calculation on a computer is limited by the fact that computers can only hold a limited number of digits.
For example, int values are stored in 4 bytes of memory. There is an Integer.MAX_VALUE defined as 2147483647 and an Integer.MIN_VALUE defined as -2147483648. If you try to store any number larger or smaller than these numbers in an int variable, it will result in an integer overflow where an incorrect value could be stored. Try it below.
Try the code below to see two integer overflows for a positive and negative number. An int cannot hold that many digits! Fix the integer overflow by deleting the last 0 in the numbers to store less digits.
Although it’s not on the AP exam, you can format long decimal numbers to just show 2 digits after the decimal point with the following code:
Run the code below to see how a decimal number can be formatted to show 2 digits after the decimal point.
1.6.1. Programming Challenge : Average 3 Numbers¶
This would be a good project to work together in pairs, and switch drivers (who has control of the keyboard in pair programming) after every line of code. In the code below, type in three made up int grades and then sum and average them. Use casting to report the result as a double. For example, if the grades are 90, 100, and 94, the sum of the three numbers is 90 + 100 + 94 = 284, and the average is the sum 284 divided by 3 which casted to a double is 94.666667. You should use your variables instead of the numbers in your formulas. Follow the pseudocode below.
Type in three made up int grades and then sum and average them. Use type casting to report the result as a double. If you do this challenge on repl.it (see template and links below), please paste your repl link here to turn it in.
Your teacher may suggest that you use a Java IDE like repl.it for this challenge so that you can use input to get these values using the Scanner class. Here is a repl template that you can use to get started if you want to try the challenge with input.
If you get done early with this challenge, here’s something else fun you can do in Java, although it’s not covered in the AP exam. Java was one of the first programming languages to use Unicode for its characters. Unicode is an international standard where each letter in any alphabet is represented by a number. Unicode uses hex code (a base 16 code that uses the digits 0-9 and the letters A-F for 10-15), but you can give Java an equivalent decimal number and type cast it to the type char (for character) to show the unicode character.
Try the following program which prints out Chinese characters. Look up other characters at this Unicode Lookup site and print them out in the Active Code window below by using the decimal number (see Dec column in site) and type casting to char. Can you print out a letter from 3 different languages?
Type casting is used to convert variables from one type to another.
The casting operators (int) and (double) can be used to create a temporary value converted to a different data type.
Casting a double value to an int causes the digits to the right of the decimal point to be truncated (cut off and thrown away).
Some programming code causes int values to be automatically cast (widened) to double values.
Values of type double can be rounded to the nearest integer by (int)(x + 0.5) or (int)(x – 0.5) for negative numbers.
Integer values in Java are represented by values of type int, which are stored using a finite amount (4 bytes) of memory. Therefore, an int value must be in the range from Integer.MIN_VALUE to Integer.MAX_VALUE inclusive.
If an expression would evaluate to an int value outside of the allowed range, an integer overflow occurs. This could result in an incorrect value within the allowed range.