C Programs Explained -2

/* Pascal triangle */

#include

long fact(int);

int main(){

    int line,i,j;

    printf("Enter the no. of lines: ");

    scanf("%d",&line);

    for(i=0;i

         for(j=0;j

             printf(" ");

         for(j=0;j<=i;j++)

             printf("%ld ",fact(i)/(fact(j)*fact(i-j)));

         printf("\n");

    }

    return 0;

}

long fact(int num)

{

    long f=1;

    int i=1;

    while(i<=num)

{

         f=f*i;

         i++;

  }

  return f;

 }

Sample output:

Enter the no. of lines: 8

       1

      1 1

     1 2 1

    1 3 3 1

   1 4 6 4 1

  1 5 10 10 5 1

 1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

 

Cosine series :

#include
	#include

	#include

	/*function prototypes*/
	int factorial(int number);

	int cosine(int value);

	int main(void)
	{

	int random;
	int cosineValue;

	printf("Enter cosine value");
	scanf("%d",&cosineValue);

	printf("The cosine value is %d",cosine(cosineValue));

	return 0;
	}/*end main */

	int factorial(int number)
	{

	if(number<=1)
	{

	return 1;
	}else

	{
	return (number*factorial(number-1));

	}//end if...

	}

	int cosine(int value)
	{

	int sum = 1;
	int i;

	int term=1;
	int power;

	int fact;

	for(i=0;i<=5;i++)
	{

	value = value*(-1);

	power = pow(value,i*2);
	fact=factorial(2*i);

	sum=sum+(power/fact);
	}

	return sum;
	}

 

How to find inverse of a matrix in C code to find inverse of a matrix Inverse of a 3x3 matrix in c

#include

int main(){

  int a[3][3],i,j;

  float determinant=0;

  printf("Enter the 9 elements of matrix: ");

  for(i=0;i<3;i++)

      for(j=0;j<3;j++)

           scanf("%d",&a[i][j]);

  printf("\nThe matrix is\n");

  for(i=0;i<3;i++)

{

      printf("\n");

      for(j=0;j<3;j++)

           printf("%d\t",a[i][j]);

  }

  for(i=0;i<3;i++)

      determinant = determinant + (a[0][i]*(a[1][(i+1)%3]*a[2][(i+2)%3] - a[1][(i+2)%3]*a[2][(i+1)%3]));

   printf("\nInverse of matrix is: \n\n");

   for(i=0;i<3;i++)

{

      for(j=0;j<3;j++)

           printf("%.2f\t",((a[(i+1)%3][(j+1)%3] * a[(i+2)%3][(j+2)%3]) - (a[(i+1)%3][(j+2)%3]*a[(i+2)%3][(j+1)%3]))/ determinant);

       printf("\n");

   }

   return 0;

}

Output :

Enter the 9 elements of matrix:

3

5

2

1

5

8

3

9

2

The matrix is

3       5       2

1       5       8

3       9       2

Inverse of matrix is:

0.70    -0.25   0.07

-0.09   -0.00   0.14

-0.34   0.25    -0.11

Exponential series :

int main ()

{

    int b,i;

    float a,c;

  

    printf("\nEnter base value a: ");

    scanf("\n%f", &a);

    printf("\nEnter exponent value b: ");

    scanf("\n%i\n", &b);

  

    c=1;

    i=1;    

  

    while(i<=b)

    {

        c*=a;   

        i++;

    }

      

  

    printf("\nThe answer is %.2f", c);

  

    return(0);

}

Recursive function for factorial in c

#include
int fact(int);

int main()

{

  int num,f;

  printf("\nEnter a number: ");

  scanf("%d",&num);

  f=fact(num);

  printf("\nFactorial of %d is: %d",num,f);

  return 0;

}

int fact(int n)

{

   if(n==1)

       return 1;

   else

       return(n*fact(n-1));

 }

 

Code to find determinant of a matrix

C program to calculate determinant of a matrix

#include

int main(){

  int a[3][3],i,j;

  int determinant=0;

  printf("Enter the 9 elements of matrix: ");

  for(i=0;i<3;i++)

      for(j=0;j<3;j++)

           scanf("%d",&a[i][j]);

  printf("\nThe First matrix is\n");

  for(i=0;i<3;i++){

      printf("\n");

      for(j=0;j<3;j++)

           printf("%d\t",a[i][j]);

  }

  for(i=0;i<3;i++)

      determinant = determinant + (a[0][i]*(a[1][(i+1)%3]*a[2][(i+2)%3] - a[1][(i+2)%3]*a[2][(i+1)%3]));

  printf("\nDeterminant of matrix is: %d",determinant);

   return 0;

}

C code for Determinant of 2X2 matrix:

#include

int main(){

  int a[2][2],i,j;

  long determinant;

  printf("Enter the 4 elements of matrix: ");

  for(i=0;i<2;i++)

      for(j=0;j<2;j++)

           scanf("%d",&a[i][j]);

  printf("\nThe matrix is\n");

  for(i=0;i<2;i++){

      printf("\n");

      for(j=0;j<2;j++)

           printf("%d\t",a[i][j]);

  }

  determinant = a[0][0]*a[1][1] - a[1][0]*a[0][1];

  printf("\nDeterminant of 2X2 matrix: %ld",determinant);

 

   return 0;

}

Output :

Enter the 4 elements of matrix: 4

8

3

9

The matrix is

4       8

3       9

Determinant of 2X2 matrix: 12

 

C code for Determinant of 3X3 matrix:

#include

int main(){

  int a[3][3],i,j;

  long determinant;

  printf("Enter the 9 elements of matrix: ");

  for(i=0;i<3;i++)

      for(j=0;j<3;j++)

           scanf("%d",&a[i][j]);

  printf("\nThe matrix is\n");

  for(i=0;i<3;i++){

      printf("\n");

      for(j=0;j<3;j++)

           printf("%d\t",a[i][j]);

  }

  determinant = a[0][0]*((a[1][1]*a[2][2]) - (a[2][1]*a[1][2])) -a[0][1]*(a[1][0]*a[2][2] - a[2][0]*a[1][2]) + a[0][2]*(a[1][0]*a[2][1] - a[2][0]*a[1][1]);

  printf("\nDeterminant of 3X3 matrix: %ld",determinant);

 

   return 0;

}

Sample output:

Enter the 9 elements of matrix: 1

2

3

4

5

6

7

8

9

The matrix is

1       2       3

4       5       6

7       8       9

Determinant of 3X3 matrix: 0

 

Alogrithm:

Determinant is possible only for square matrixes i.e. n by n matrixes.

Determinant of 2 by 2 matrix:

Determinant of matrix has defined as: ad – cb

Determinant of 3 by 3 matrix:

Determinant of matrix has defined as: a00(a11*a22 – a21*a12) + a01(a10*a22 – a20*a12) + a02(a10*a21 – a20*a11)

Code for swapping in c

#include

int main()

{

    int a,b,temp;

   

    printf("Enter any two integers: ");

    scanf("%d%d",&a,&b);

    printf("Before swapping: a = %d, b=%d",a,b);

    temp= a;

    a=b;

    b=a;

    printf("\nAfter swapping: a = %d, b=%d",a,b);

    return 0;

}

C program for swapping of two numbers using pointers

#include

int main(){

    int a,b;

    int *ptra,*ptrb;

    int *temp;

    printf("Enter any two integers: ");

    scanf("%d%d",&a,&b);

    printf("Before swapping: a = %d, b=%d",a,b);

    ptra = &a;

    ptrb = &b;

     temp = ptra;

    *ptra = *ptrb;

    *ptrb = *temp;

    printf("\nAfter swapping: a = %d, b=%d",a,b);

    return 0;

}

Sample output:

Enter any two integers: 5 10

Before swapping: a = 5, b=10

After swapping: a = 10, b=10

Swapping program in c using function

#include

void swap(int *,int *);

int main()

{

    int a,b;

   

    printf("Enter any two integers: ");

    scanf("%d%d",&a,&b);

    printf("Before swapping: a = %d, b=%d",a,b);

    swap(&a,&b);

    printf("\nAfter swapping: a = %d, b=%d",a,b);

    return 0;

}

void swap(int *a,int *b)

{

    int *temp;

    temp = a;

    *a=*b;

    *b=*temp;

}

Sample output:

Enter any two integers: 3 6

Before swapping: a = 3, b=6

After swapping: a = 6, b=6

c