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Commit
acd86157
authored
Dec 16, 2018
by
chazog
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
/*
* Name: Azogu, Chibuzo Desmond
* Variant: Method 5, Function 48
* Description: The program calculates the function y(x) in already defined points. It allows user input for;
starting value A, stop value B, steps coefficient C and step value H.
It then calculates the function y(x) until function value exceeds B
and N <= 15 (Where N = number of total points).
*/
float
findX
(
int
i
,
int
n
,
int
C
,
float
A
,
float
H
)
// This function calculates the argument of X[n]
{
if
(
n
==
1
)
return
A
;
else
return
A
+
(
i
*
H
*
pow
(
C
,
n
-
1
));
// equation for each iteration of X[n]
}
float
findY
(
float
x
)
{
// This function calculates the function y(x)
return
(
14
*
pow
(
x
,
3
)
+
7
*
pow
(
x
,
2
)
-
x
+
20
)
/
(
pow
(
x
,
2
)
-
4
*
x
);
//Equation for y(x)
}
int
main
(
void
)
{
float
i
,
A
,
B
,
H
,
C
;
// Variable declaration
int
N
;
printf
(
"Enter starting value: "
);
// User inputs start value
scanf
(
"%f"
,
&
A
);
printf
(
"Enter stop value: "
);
// User inputs stop value
scanf
(
"%f"
,
&
B
);
printf
(
"Enter steps coefficient: "
);
// User inputs coefficient of step
scanf
(
"%f"
,
&
C
);
printf
(
"Enter Total Number of Points: "
);
// User inputs number of iterations desired
scanf
(
"%d"
,
&
N
);
do
{
printf
(
"Enter Step Value: "
);
scanf
(
"%f"
,
&
H
);
if
(
H
<=
0
)
// checks if the step value is greater than 0.
{
printf
(
"Step value must be greater than 0!
\n
"
);
}
}
while
(
H
<=
0
);
printf
(
"
\n
Number
\t\t
Argument(x)
\t\t
Function y(x)
\n
"
);
int
num
=
0
;
int
n
;
for
(
i
=
A
;
i
<
B
;
i
+=
C
)
// For loop is dependent on the user's input of 'N', to satisfy N <= 15 in the question.
{
float
x
=
findX
(
i
,
A
,
C
,
H
,
n
);
// The function findX is called to calculate X for each iterations of 'i'
float
y
=
findY
(
i
);
// The function findY is called to calculate function y(x) for each iterations of 'i'
num
++
;
if
(
y
<=
B
)
// Satisfies the condition "Until function value exceeds B".
{
printf
(
"%d.
\t\t
x=%.f
\t\t\t
y(x) = %.2f
\n
"
,
num
,
i
,
y
);
}
else
{
printf
(
"%d.
\t\t
x=%.f
\t\t\t
y(x) = not available
\n
"
,
num
,
i
,
y
);
// If function value exceeds B, then y(x) is not available/not defined.
}
}
return
0
;
}
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