Lecture
Handout
Introduction
to programming
Lecture
No. 4
Reading Material
Deitel
& Deitel – C++ How to Program chapter
1
1.22
Sample
Program
Problem
statement:
each
student.
Solution:
Lets
first sort out the problem. In the problem we will take the ages of ten
students from
the
user. To store these ages we will use ten variables, one variable for each
student’s
age.
We will take the ages of students in whole numbers (in years only, like 10, 12,
15
etc),
so we will use the variables of data type int. The
variables declaration statement in
our
program will be as follow:
int age1, age2, age3, age4, age5, age6, age7, age8, age9, age10;
We
have declared all the ten variables in a single line by using comma separator (
, ).
This
is a short method to declare a number of variables of the same data type.
After
this we will add all the ages to get the total age and store this total age in
a variable.
Then
we will get the average age of the ten students by dividing this total age by
10. For
the
storage of total and average ages we need variables. For this purpose we use
variable
TotalAge for the total of ages and AverageAge for
average of ages respectively.
int TotalAge, AverageAge;
We
have declared AverageAge as
int data type so it can store only whole numbers. The
average
age of the class can be in real numbers with decimal point (for example if
total
age
is 173 then average age will be 17.3). But the division of integers will
produce
integer
result only and the decimal portion is truncated. If we need the actual result
then
we
should use real numbers (float or double) in our program.
Now
we have declared variables for storing different values. In the next step we prompt
the
user to enter the age of first student. We simply show a text line on the
screen by
using
the statement:
cout << “Please enter
the age of first student : ” ;
So
on the screen the sentence “Please enter the age of first student:” will
appear.
Whenever
we are requesting user to enter some information we need to be very clear i.e.
write
such sentences that are self explanatory and user understands them thoroughly
and
correctly.
Now with the above sentence everyone can understand that age would be
entered
for the first student. As we are expecting only whole numbers i.e. age in years
only
i.e. 10, 12 etc, our program is not to expect ages as 13.5 or 12.3 or 12 years
and 3
months
etc. We can refine our sentence such, that the user understands precisely that
the
age
would be entered in whole number only.
After
this we allow the user to enter the age. To, get the age
entered by the user into a
variable, we use the statement:
cin >> age1;
Lets
have a look on the statement cin >> age1; cin is the counter part of the cout.
Here
cin is the input stream that gets data from the user and assigns it to the
variable on its
right
side. We know that the sign >> indicates the direction of the flow of
data. In our
statement
it means that data comes from user and is assigned to the variable age1,
where
age1 is a variable used for storing the age entered for student1.
Similarly we get the ages
of
all the ten students and store them into respective variables. That means the
age of first
student
in age1, the age of second student in age2 and
so on up to 10 students. When cin
statement
is reached in a program, the program stops execution and expects some input
from
the user. So when cin >> age1; is
executed, the program expects from the user to
type
the age of the student1.
After entering the age, the user has to press the 'enter key'.
Pressing
'enter key' conveys to the program that user has finished entering the input
and
cin assigns the input value to the variable on the right hand side which
is age1 in this
case.
As we have seen earlier that in an assignment statement, we can have only one
variable
on left hand side of the assignment operator and on right hand side we can have
an
expression that evaluates to a single value. If we have an expression on the
left hand
side
of assignment operator we get an error i.e. x = 2
+ 4; is a correct statement but x + y
= 3+ 5; is an incorrect statement as we can not have an expression on the left
hand side.
Similarly
we can not have an expression after the >> sign with cin. So
we can have one
and
only one variable after >> sign i.e. cin
>> x; is a correct statement and cin
>> x + y;
is
an incorrect statement.
Next,
we add all these values and store the result to the variable TotalAge. We
use
assignment
operator for this purpose. On the right hand side of the assignment operator,
we
write the expression to add the ages and store the result in the variable, TotalAge on
left
hand side. For this purpose we write the statement as follow:
TotalAge = age1 + age2 + age3 + age4 + age5 + age6 + age7 + age8 +
age9 + age10 ;
The
expression on the right hand side uses many addition operators ( + ). As these
operators
have the same precedence, the expression is evaluated from left to right. Thus
first
age1 is
added to age2 and then the result of this is
added to age3 and then this result
is
added to age4 and so on.
Now
we divide this TotalAge by
10 and get the average age. We store this average age in
the
variable i.e. AverageAge by
writing the statement:
AverageAge = TotalAge / 10;
And
at the end we display this average age on the screen by using the following
statement:
cout << “ The average age of the students is : “ << AverageAge;
Here
the string enclosed in the quotation marks, will be printed on the screen as it
is and
the
value of AverageAge will
be printed on the screen.
The
complete coding of the program is given below:
/* This program calculates the average age of a
class of ten students after prompting the
user
to enter the age of each student. */
#include
<iostream.h>
main
()
{
// declaration of variables, the
age will be in whole numbers
int age1, age2, age3, age4, age5,
age6, age7, age8, age9, age10;
int
TotalAge, AverageAge;
//
take ages of the students from the user
cout << “Please enter the age
of student 1: ”;
cin
>> age1;
cout << “Please enter the age
of student 2: ”;
cin
>> age2;
cout << “Please enter the age
of student 3: ”;
cin
>> age3;
cout << “Please enter the age
of student 4: ”;
cin
>> age4;
cout << “Please enter the age
of student 5: ”;
cin
>> age5;
cout << “Please enter the age
of student 6: ”;
cin
>> age6;
cout << “Please enter the age
of student 7: ”;
cin
>> age7;
cout << “Please enter the age
of student 8: ”;
cin
>> age8;
cout << “Please enter the age
of student 9: ”;
cin
>> age9;
cout << “Please enter the age
of student 10: ”;
cin
>> age10;
// calculate the total age and
average age
TotalAge
= age1 + age2 + age3 + age4 + age5 + age6 + age7 + age8 + age9 +
age10;
AverageAge
= TotalAge / 10;
// Display the result ( average age
)
cout
<< “Average age of class is: “ << AverageAge;
}
A
sample output of the above program is given below.
Please
enter the age of student 1: 12
Please
enter the age of student 2: 13
Please
enter the age of student 3: 11
Please
enter the age of student 4: 14
Please
enter the age of student 5: 13
Please
enter the age of student 6: 15
Please
enter the age of student 7: 12
Please
enter the age of student 8: 13
Please
enter the age of student 9: 14
Please
enter the age of student 10: 11
Average
age of class is: 12
In
the above output the total age of the students is 123 and the actual average
should be
12.3
but as we are using integer data types so the decimal part is truncated and the
whole
number
12 is assigned to the variable AverageAge.
Examples
of Expressions
We
have already seen the precedence of arithmetic operators. We have expressions
for
different
calculations in algebraic form, and in our programs we write them in the form
of
C
statements. Let’s discuss some more examples to get a better understanding.
We
know about the quadratic equation in algebra, that is y = ax2 +
bx + c. The quadratic
equation
in C will be written as y = a * x * x + b * x + c. In
C, it is not an equation but an
assignment
statement. We can use parentheses in this statement, this will make the
expression
statement easy to read and understand. Thus we can rewrite it as
y = a * (x *
x) + (b * y) + c.
Note
that we have no power operator in C, just use * to multiply the same value.
Here
is another expression in algebra: x
= ax + by + cz2. In C the above expression will
be
as:
x = a * x + b * y + c * z * z
The
* operator will be evaluated before the + operator. We can rewrite the above
statement
with the use of parentheses. The same expressions can be written as:
x = (a * x) + (b * y) + c * ( z
* z)
Lets
have an other expression in algebra as x =
a(x + b(y + cz2)). The
parentheses in this
equation
force the order of evaluation. This expression will be written in C as:
x = a * (x + b * (y + c * z *
z))
While
writing expressions in C we should keep in mind the precedence of the operators
and
the order of evaluation of the expressions (expressions are evaluated from left
to
right).
Parentheses are used in complicated expressions. In algebra, there may be curly
brackets
{ } and square brackets [ ] in an expression but in C we have only
parentheses
(
). Using parentheses, we can make a complex expression easy to read and
understand
and
can force the order of evaluation. We have to be very careful while using
parentheses,
as parentheses at wrong place can cause an incorrect result. For example, a
statement
x
= 2 + 4 * 3 results x = 14. As
* operator is of higher precedence, 4 * 3
is
evaluated
first and then result 12 is added to 4 which gives the result 14. We can
rewrite
this
statement, with the use of parentheses to show it clearly, that multiplication
is
performed
first. Thus we can write it as x = 2 + (4 * 3). But
the same statement with
different
parentheses like x = (2 + 4) * 3 will
give the result 18, so we have to be careful
while
using parenthesis and the evaluation order of the expression.
Similarly
the equation (b2
– 4ac)/2a can be written as ( b * b – 4 * a * c) / ( 2 * a ). The
same
statement without using parentheses will be as b * b
– 4 * a * c / 2 * a. This is
wrong
as it evaluates to b2
– 4ac/2a (i.e. 4ac is divided by 2a instead of (b2-4ac)).
Use
of Operators
Here
are sample programs which will further explain the use of operators in
programming.
Problem
Statement:
Write
a program that takes a four digits integer from user and shows the digits on
the
screen
separately i.e. if user enters 7531, it displays 7,5,3,1 separately.
Solution:
Let’s
first analyze the problem and find out the way how to program it.
Analysis:
First
of all, we will sort the problem and find out how we can find digits of an
integer.
We
know that when we divide a number by 10, we get the last digit of the number as
remainder.
For example when we divide 2415 by 10 we get 5 as remainder. Similarly
3476
divided by 10 gives the remainder 6. We will use this logic in our problem to
get
the
digits of the number. First of all, we declare two variables for storing number
and the
digit.
Let’s say that we have a number 1234 to show its digits separately. In our
program
we
will use modulus operator ( % ) to get the remainder. So we get the first digit
of the
number
1234 by taking its modulus with 10 (i.e. 1234 % 10). This will give us the
digit 4.
We
will show this digit on the screen by using cout statement. After this we have to find
the
next digit. For this we will divide the number by 10 to remove its last digit.
Here for
example
the answer of 1234 divided by 10 is 123.4, we need only three digits and not
the
decimal
part. In C we know that the integer division truncates the decimal part to give
the
result
in whole number only. We will use integer division in our program and declare
our
variable
for storing the number as int data type. We will divide the
number 1234 by 10
(i.e.
1234 / 10). Thus we will get the number with remaining three digits i.e. 123.
Here is
a
point to be noted that how can we deal with this new number (123)?
There
are two ways, one is that we declare a new variable
of type int and assign the value
of
this new number to it. In this way we have to declare more variables that mean
more
memory
will be used. The second way is to reuse the same variable
(where number was
already
stored). As we have seen earlier that we can reassign values to variables like
in
the
statement x = x + 1,
which means, add 1 to the value of x and assign this resultant
value
again to x. In this way we are reusing the variable x. We will do the same but
use
the
division operator instead of addition operator according to our need. For this
purpose
we
will write number = number / 10.
After this statement we have value 123 in the
variable
number.
Again
we will get the remainder of this number with the use of modulus operator,
dividing
the number by 10 (i.e. 123 % 10). Now we will get 3 and display it on the
screen.
To get the new number with two digits, divide the number by 10. Once again, we
get
the next digit of the number (i.e. 12) by using the modulus operator with 10,
get the
digit
2 and display it on the screen. Again get the new number by dividing it by
10
(i.e.
1). We can show it directly, as it is the last digit, or take remainder by
using modulus
operator
with 10. In this way, we get all the digits of the number.
Now
let’s write the program in C by following the analysis we have made. The
complete
C
program for the above problem is given below. It is easy to understand as we
are
already
familiar with the statements used in it.
/*
A program that takes a four digits integer from user and shows the digits on
the screen
separately
i.e. if user enters 7531, it displays 7,5,3,1 separately. */
#include
<iostream.h>
main()
{
// declare variables
int number, digit;
// prompt the user for input
cout
<< "Please enter 4-digit number:";
cin
>> number;
//
get the first digit and display it on screen
digit = number % 10;
cout
<< "The digits are: ";
cout
<< digit << ", ";
//
get the remaining three digits number
number
= number / 10;
// get the next digit and display
it
digit
= number % 10;
cout
<< digit << ", ";
//
get the remaining two digits number
number
= number / 10;
// get the next digit and display
it
digit = number % 10;
cout
<< digit << ", ";
//
get the remaining one digit number
number
= number / 10;
//
get the next digit and display it
digit
= number % 10;
cout
<< digit;
}
A
sample output of the above program is given below.
Problem
Statement:
Write
a program that takes radius of a circle from the user and calculates the
diameter,
circumference
and area of the circle and display the result.
Solution:
In
this problem we take the input (radius of a circle) from the user. For that we
can use
cin statement to prompt the user to enter the radius of a circle. We store
this radius in a
variable.
We also need other variables to store diameter, circumference and area of the
circle.
To obtain the correct result, we declare these variables of type float,
instead of int
data
type, as we know that the int data type stores the whole numbers
only. Here in our
problem
the area or circumference of the circle can be in decimal values. After getting
the
radius
we use the formulae to find the diameter, circumference and area of the circle
and
then
display these results on the screen. The solution of this program in coding
form is
given
below.
/*
Following program takes the radius of a circle from the user and calculates the
diameter,
circumference and area of the circle and displays the result. */
#include
<iostream.h>
main
()
{
// declare variables
float radius, diameter, circumference,
area;
// prompt the user for radius of a circle
cout << "Please enter the radius
of the circle " ;
cin >> radius ;
// calculate the diameter, circumference
and area of the circle
// implementing formula i.e. diameter = 2 r
circumference = 2 ×— r and area = ×— r2
diameter = radius * 2 ;
circumference = 2 * 3.14 * radius ; // 3.14
is the value of ×— (Pi)
area = 3.14 * radius * radius ;
// display the results
cout << "The diameter of the
circle is : " << diameter ;
cout << "The circumference of
the circle is : " <<
circumference ;
cout << "The area of the circle
is : " << area ;
}
A
sample output of the above program is given below.
Please
enter the radius of the circle 5
The
diameter of the circle is : 10
The
circumference of the circle is : 31.4
The
area of the circle is : 78.5
Tips
Indent
the code for better readability and understanding
Use
parenthesis for clarity and to force the order of evaluation in an expression
Reuse
the variables for better usage of memory
Take
care of division by zero
Analyze
the problem properly, and then start coding (i.e. first think and then write)
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