Variables
• A variableis a named memory location
capable of storing data
• As we have already seen, object variables
refer to objects, which are created by
instantiating classes with the new operator
• We can also store data in simple variables,
which represent data only, without any
associated methods
3.
Data declaration syntax
•The syntax for the declaration of a variable
is:
Data type identifier;
– “data type” may be the name of a class, as we
have seen, or may be one of the simple types,
which we’ll see in a moment
– “identifier” is a legal Java identifier; the rules
for simple variable identifiers are the same as
those for object identifiers
4.
Variable declaration: examples
•For example:
int age; // int means integer
double cashAmount; // double is a real #
• We can also declare multiple variables of the same type using
a single instruction; for example:
int x, y, z; //or
int x,
y,
z;
• The second way is preferable, because it’s easier to document
the purpose of each variable this way.
5.
Numeric data typesin Java:
integers
Data type name Minimum value Maximum value
byte -128 127
short -32,768 32,767
int -2,147,483,648 2,147,483,647
long -9,223,372,036,854,775,808 9,223,372,036,854,775,807
6.
Numeric data typesin Java:
floating-point numbers
Data type name Minimum value Maximum value
float -3.40282347 x 1038
3.40282347 x 1038
double -1.79769313486231570 x 10308
1.79769313486231570 x 10308
7.
Numeric data types:some notes
• Most programmers use int for whole numbers and
double for real numbers
• Numeric data types in Java are primitive (non-
object) types; this means that a numeric variable is
somewhat different from an object:
– You don’t use the new operator to initialize a numeric
variable – just assign it a value
– Memory for a numeric variable is allocated at declaration
– Numeric variables actually store values; object names
store addresses
8.
Scientific notation andreal
numbers
• Both float and double have wide ranges to the values they
can represent
• In order to save space, particularly large or small values
are often displayed by default using a variation of
scientific notation
• For example, the value .0000258 would appear as 2.58 x
10-5
in conventional notation – as output from a Java
program, the number would appear as 2.58e-5
• The ‘e’ is for exponent, and can be upper or lowercase
9.
Assignment statements
• Wecan store a value in a variable using an
assignment statement
• Assignment statement syntax:
variableName = expression;
– variableName must be the name of a declared
variable
– expression must evaluate to an appropriate
value for storage within the type of variable
specified
10.
Arithmetic expressions
• Anexpression is a set of symbols that represents a
value
• An arithmetic expression represents a numeric value
• Simple expressions are single values; examples:
18
-4
1.245e3
• Previously-declared and initialized variables or
constants can also be simple expressions
11.
Arithmetic operators inJava
• Compound
expressions are
formed by
combining simple
expressions using
arithmetic
operators
Operation Symbol
Addition +
Subtraction -
Multiplication *
Division /
Modulus %
12.
Arithmetic operations inJava
• As in algebra, multiplication and division (and modulus,
which we’ll look at momentarily) take precedence over
addition and subtraction
• We can form larger expressions by adding more
operators and more operands
– Parentheses are used to group expressions, using the same rule
as in algebra: evaluate the innermost parenthesized expression
first, and work your way out through the levels of nesting
– The one complication with this is we have only parentheses to
group with; you can’t use curly or square brackets, as they
have other specific meanings in Java
13.
Examples
int x =4, y = 9, z;
z = x + y * 2; // result is 22
z = (x + y) * 2; // result is 26
y = y – 1; // result is 8
14.
Integer division
• Whenone real number is divided by another, the
result is a real number; for example:
double x = 5.2, y = 2.0, z;
z = x / y; // result is 2.6
• When dividing integers, we get an integer result
• For example:
int x = 4, y = 9, z;
z = x / 2; // result is 2
z = y / x; // result is 2, again
z = x / y; // result is 0
15.
Integer division
• Thereare two ways to divide integers
– using the / operator, produces the quotient of the
two operands
– using the % operator, produces the remainder when
the operands are divided. This is called modular
division, or modulus (often abbreviated mod). For
example:
int x = 4, y = 9, z;
z = x % 2; // result is 0
z = y % x; // result is 1
z = x % y; // result is 4
16.
Mixed-type expressions
• Amixed-type expression is one that involves operands of
different data types
– Like other expressions, such an expression will evaluate to a single
result
– The data type of that value will be the type of the operand with the
highest precision
– What this means, for all practical purposes, is that, if an
expression that involves both real numbers and whole
numbers, the result will be a real number.
• The numeric promotion that takes place in a mixed-type
expression is also known as implicit type casting
17.
Explicit type casting
•We can perform a deliberate type conversion of an
operand or expression through the explicit cast
mechanism
• Explicit casts mean the operand or expression is
evaluated as a value of the specified type rather
than the type of the actual result
• The syntax for an explicit cast is:
(data type) operand -or-
(data type) (expression)
18.
Explicit type casts- examples
int x = 2, y = 5;
double z;
z = (double) y / z; // z = 2.5
z = (double) (y / z); // z = 2.0
19.
Assignment conversion
• Anotherkind of implicit conversion can
take place when an expression of one type
is assigned to a variable of another type
• For example, an integer can be assigned to a
real-number type variable; in this case, an
implicit promotion of the integer value
occurs
20.
No demotions inassignment
conversions
• In Java we are not allowed to “demote” a higher-
precision type value by assigning it to a lower-
precision type variable
• Instead, we must do an explicit type cast. Some
examples:
int x = 10;
double y = x; // this is allowed; y = 10.0
x = y; // error: can’t demote value to int
y = y / 3; // y now contains 3.3333333333333333
x = (int)y; // allowed; x = 3
21.
Compound arithmetic/assignment
operators
• Previousexamples in the notes have included the following
statements:
y = y + 1;
y = y / 3;
• In each case, the current value of the variable is used to
evaluate the expression, and the resulting value is assigned to
the variable (erasing the previously-stored value)
• This type of operation is extremely common; so much so, that
Java (like C++ and C before it) provides a set of shorthand
operators to perform this type of operation. The table on the
next slide illustrates the use and meaning of these operators
Named constants
• Avariable is a named memory location that can hold a
value of a specific data type; as we have seen, the value
stored at this location can change throughout the execution
of a program
• If we want to maintain a value in a named location, we use
the Java keyword final in the declaration and immediately
assign the desired value; with this mechanism, we declare
a named constant. Some examples:
final int LUCKY = 7;
final double PI = 3.14159;
final double LIGHTSPEED = 3.0e10.0 ;
24.
Named constants
• Thename of the constant is used in expressions but cannot
be assigned a new value. For example, to calculate the
value of variable circleArea using the variable radius and
the value , we could write:
circleArea = 2 * PI * radius * radius;
• The use of named constants is considered good
programming practice, because it:
– eliminates (or at least minimizes) the use of “magic” numbers in a
program; it is easier to read code that contains meaningful names
– allows a programmer to make global changes in calculations easily
25.
Using named constants:example
• Suppose, for example, that you are writing a
program that involves adding sales tax and
subtracting discounts from users’ totals
• If the tax rate is 5% and the discount rate is 10%,
the calculation could look like this:
total = total – (total * .1) + ((total * .1) * (1 + .05));
• By itself, this isn’t too bad; but suppose there are
several places in the program that use these
values?
26.
Example continued
• If,for example, the discount changes to 12%, the
programmer who has to maintain the code would have to
change the value .1 to .12 everywhere in the program – at
least, everywhere that it actually refers to the discount.
– The value .1 could very well mean something else in a different
expression.
– If we use named constants instead, the value has to change in
just one place, and there is no ambiguity about what the
number means in context; with named constants, the revised
code might read:
total = total – (total * discount) + ((total * discount) * (1 + taxrate));
27.
Calculations using Java’sMath
class
• The standard Java class Math contains class
methods and constants that are useful in
performing calculations that go beyond
simple arithmetic operations
• The constants defined in the Math class are
Math.PI and Math.E, which are defined
values for and e (the base for natural
logs), respectively
28.
Math class methods
•Math.abs(a): returns the absolute value of its
argument (a), which can be of type int, long, float,
or double
• Math.sin(a): returns the sine of its argument, a
double value representing an angle in radians;
similar trigonometric functions include
Math.cos(a) for cosine, Math.tan(a) for tangent,
Math.acos(a), Math.asin(a) and Math.atan(a),
which provide arccosine, arcsine, and arctangent,
respectively
29.
Math class methods
•Math.toDegrees(a): converts a, a double
value representing an angle in radians, to
the corresponding value in degrees
• Math.toRadians(a): converts a, a double
value representing an angle in degrees to
the corresponding value in radians
30.
Math class methods
•Math.sqrt(a): returns the square root of a, a value
of type double
• Math.cbrt(a): returns the cube root of a, a value
of type double
• Math.pow(a, b): returns the value of ab
• Math.log(a): returns the natural log of a, a double
value
• Math.log10(a): returns the log base 10 of a, a
double value
31.
Example
// computing theroots of a quadratic equation:
double a, // coefficient of x squared
b, // coefficient of x
c, // 3rd
term in equation
x1, // first root
x2; // second root
// read in values for a, b, and c – not shown here …
x1 = (-b + Math.sqrt(Math.pow(b, 2) – (4 * a * c))) / (2 * a);
x2 = (-b - Math.sqrt(Math.pow(b, 2) – (4 * a * c))) / (2 * a);