clanguage07@gmail.com

clanguage07@gmail.com

Saturday, June 16, 2012

Write a C program that uses Stack operations to perform the following: i) Converting infix expression into postfix expression ii) Evaluating the postfix expression

Program:

#include<stdio.h>
#include<conio.h>

int st[100];
int st_top=-1;

int cal(char post[]);
void in_post(char in[]);
void push_item(int it);
int pop_item();
int st_ISP(char t);
int st_ICP(char t);

/*main function*/
void main()
{
char in[100],post[100];
clrscr();
printf("\n\tEnter the Infix Expression: ");
gets(in);
in_post(in);
getch();
}
/*end main*/

void push_item(int it)
{
if(st_top==99)
{
printf("\n\n\t*STACK is Full*");
getch();
exit(1);
}
st[++st_top]=it;
}

int pop_item()
{
int it;
if(st_top==-1)
{
getch();
}
return(st[st_top--]);
}

/*Function for converting an infix expression to a postfix expression. */
void in_post(char in[])
{
int x=0,y=0,z,result=0;
char a,c, post[100];
char t;
push_item('\0');
t=in[x];
while(t!='\0')
{
if(isalnum(t))
/*For checking whether the value in t is an alphabet or number. */
{
post[y]=t;
y++;
}
else if(t=='(')
{
push_item('(');
}
else if(t==')')
{
while(st[st_top]!='(')
{
c=pop_item();
post[y]=c;
y++;
}
c=pop_item();
}
else
{
while(st_ISP(st[st_top])>=st_ICP(t))
{
c=pop_item();
post[y]=c;
y++;
}
push_item(t);
}
x++;
t=in[x];
}

while(st_top!=-1)
{
c=pop_item();
post[y]=c;
y++;
}
printf("\n\tThe Postfix Expression is:");

for(z=0;z<y;z++)
printf("%c",post[z]);
printf("\n\nDo you want to evaluate the Result of Postfix Expression?(Y/N):");
scanf("%c",&a);
if(a=='y' || a=='Y')
{
result=cal(post);
printf("\n\n\tResult is: %d\n",result);
getch();
}
else if(a=='n' || a=='N')
{
exit(0);
}
}

/*Determining priority of inside elements*/
int st_ISP(char t)
{
switch(t)
{
case '(':return (10);
case ')':return (9);
case '+':return (7);
case '-':return (7);
case '*':return (8);
case '/':return (8);
case '\0':return (0);
default: printf("Expression is invalid.");
break;
}
return 0;
}

/*Determining priority of approaching elements*/
int st_ICP(char t)
{
switch(t)
{

case '(':return (10);
case ')':return (9);
case '+':return (7);
case '-':return (7);
case '*':return (8);
case '/':return (8);
case '\0':return (0);
default: printf("Expression is invalid.");
break;
}
return 0;
}

/*Evaluating the result of postfix expression*/
int cal(char post[])
{
int m,n,x,y,j=0,len;
len=strlen(post);
while(j<len)
{
if(isdigit(post[j]))
{
x=post[j]-'0';
push_item(x);
}
else
{
m=pop_item();
n=pop_item();

switch(post[j])
{
case '+':x=n+m;
break;
case '-':x=n-m;
break;
case '*':x=n*m;
break;
case '/':x=n/m;
break;
}
push_item(x);
}
j++;
}
if(st_top>0)
{
printf("Number of Operands are more than Operators.");
exit(0);
}
else
{
y=pop_item();
return (y);
}
return 0;
}

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