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help needed to compute maclaurin series using c

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help needed to compute maclaurin series using c

Jul 24th, 2008

please tell me how to compute the maclaurin series sinx=x-x^3/3!+x^5/5!-x^7/7!.....
I written below coding but i know it will not give correct output. can anyone help me to compute the series

 Help with Code Tags 
 C Syntax (Toggle Plain Text) 
#include<stdio.h>
#include<math.h>
Printf("Enter the n value");
scanf("%d", &n);
main()
{
float x,i;
float value,sinx;
printf("Enter the x value");
scanf("%d", &x);
for(i=1;i<=n;i=i+2)
{
value=pow(x,i);
sinx=x-value/factorial();
}
}
 
void factorial()
{
int j, fact=1;
for(j=1;j<n;j++)
{
fact=fact*j;
}
}
#include<stdio.h>
#include<math.h>
Printf("Enter the n value");
scanf("%d", &n);
main()
{
float x,i;
float value,sinx;
printf("Enter the x value");
scanf("%d", &x);
for(i=1;i<=n;i=i+2)
{
value=pow(x,i);
sinx=x-value/factorial();
}
}

void factorial()
{
int j, fact=1;
for(j=1;j<n;j++)
{
fact=fact*j;
}
}

Last edited by ~s.o.s~; Jul 24th, 2008 at 1:47 pm. Reason: Added code tags, learn to use them.

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Re: help needed to compute maclaurin series using c

Jul 24th, 2008

 Help with Code Tags 
 C Syntax (Toggle Plain Text) 
#include<stdio.h>
#include<math.h>
 
int factorial( int );
 
int main()
{
    int n;
    double x,i;
    double value, sinx;
 
    value = sinx = 0.0;
 
    printf("Enter the value for x and i");
    scanf("%lf %d", &x, &n);
 
    for( i=1; i<=n; i=i+2)
    {
        value = pow(x,i);
        sinx += (x - value / factorial(i));
    } 
 
    printf("Result - %f", sinx );
 
    getchar();
    return 0;
}
 
int factorial( int n )
{
   int j, fact=1;
 
   for( j=n; j>0; j-- )
     fact = fact * j;
 
   return fact;
}
#include<stdio.h>
#include<math.h>

int factorial( int );

int main()
{
    int n;
    double x,i;
    double value, sinx;

    value = sinx = 0.0;
    
    printf("Enter the value for x and i");
    scanf("%lf %d", &x, &n);

    for( i=1; i<=n; i=i+2)
    {
        value = pow(x,i);
        sinx += (x - value / factorial(i));
    } 
    
    printf("Result - %f", sinx );
    
    getchar();
    return 0;
}

int factorial( int n )
{
   int j, fact=1;

   for( j=n; j>0; j-- )
     fact = fact * j;
   
   return fact;
}

Where is your code indendation and the code tags. There where quite a lot of mistakes which you have done in the code. Have a look at the above with some slite modification. If you don understand ask!

ssharish

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Re: help needed to compute maclaurin series using c

Jul 24th, 2008

<< beat me to it >>

Last edited by Adak; Jul 24th, 2008 at 7:56 am.

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Re: help needed to compute maclaurin series using c

Jul 24th, 2008

Thanks for the reply, but still i have doubt regd how it will calculate for alternative + and - sign in series. how it works????

sinx=x-x^3/3!+x^5/5!-x^7/7!.....

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Re: help needed to compute maclaurin series using c

Jul 24th, 2008

code is returning zero value. how to produce non zero value by dividing a small number by big number

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Re: help needed to compute maclaurin series using c

Jul 24th, 2008

Well, you need to do some error checking there. Thats not a complete code as I said before. You need to work upon it. You need to do some error checking there. Anything divided by 0 is 0. What are the input values did you give?

ssharish

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Re: help needed to compute maclaurin series using c

Jul 24th, 2008

for( i=1; i<=n; i=i+2)
{
value = pow(x,i); --> this is computing power of x,i
sinx += (x - value / factorial(i)); --> here value is smaller than factorial(i) value, so it is producing zero value. Normally i use dot with that number to produce the correct result. for ex: 2/5 will be given as 2./5 then only it is producing correct result.

So in this case what i have to do produce correct result
}

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Re: help needed to compute maclaurin series using c

Jul 24th, 2008

Well, you could actually return of type double from your factorial function. You could have the denominator float as well to produce the right result. So try with return double and some modification in the factorial function by changing the data type of variable "fact" and do double calculation there instead of int.

And what inputs are you giving for variables x and n?

ssharish

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Re: help needed to compute maclaurin series using c

Jul 25th, 2008

Some notes:
1. Never use float for math calculations (as in original post). Use double type only.
2. Try to avoid factorial function calculations (especially as integer). This function has too fast growth.
3. Try to use recurrent dependiences.

For example (it's not ideal solution, of course):

 Help with Code Tags 
 c Syntax (Toggle Plain Text) 
double sinRough(double x)
{
	const double eps = 1e-6;
	double x2 = (x*x);
	double fact = 1.0 / 6.0;
	double sinx = x-x*x2*fact;
	double next = sinx;
	double step = 4.0;
 
	const int maxi = 1000;
	int neg = 0;
 
	for (int i = 0;fabs(next) > eps && i < maxi;step += 2.0,++i, neg ^= 1)
	{
		next *= x2;
		next /= step * (step + 1.0);
		sinx += (neg?-next:next);
	}
	return sinx;
}
double sinRough(double x)
{
	const double eps = 1e-6;
	double x2 = (x*x);
	double fact = 1.0 / 6.0;
	double sinx = x-x*x2*fact;
	double next = sinx;
	double step = 4.0;
	
	const int maxi = 1000;
	int neg = 0;

	for (int i = 0;fabs(next) > eps && i < maxi;step += 2.0,++i, neg ^= 1)
	{
		next *= x2;
		next /= step * (step + 1.0);
		sinx += (neg?-next:next);
	}
	return sinx;
}