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expression_new.c
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#include<stdio.h>
#include<stdlib.h>
#include<ctype.h>
#define CAPACITY 100
typedef struct treenode{
char data;
struct treenode *left;
struct treenode *right;
}treenode;
typedef struct stack{
treenode *arr[CAPACITY];
int capacity;
int top;
}stack;
treenode *createTree(char data)
{
treenode *temp=(treenode *)malloc(sizeof(treenode));
temp->left=NULL;
temp->right=NULL;
temp->data=data;
return temp;
}
void createStack(stack *s)
{
s->top=-1;
}
void push(stack *s,treenode *data)
{
if(s->top==s->capacity-1)
{
printf("Stack overflow\n");
return;
}
s->top++;
s->arr[s->top]=data;
}
treenode *pop(stack *s)
{
if(s->top==-1)
{
printf("Stack Underflow\n");
return NULL;
}
treenode *result=s->arr[s->top];
s->top--;
return result;
}
treenode *peek(stack *s)
{
if(s->top==-1)
{
printf("Stack Underflow\n");
return NULL;
}
return s->arr[s->top];
}
treenode *insert(treenode *second,treenode *first,treenode *op)
{
op->right=first;
op->left=second;
return op;
}
int prec(char x)
{
switch(x)
{
case '+':
case '-':return 1;
case '*':
case '/':return 2;
case '^':return 3;
}
return -1;
}
treenode *itp(stack *s,stack *t,char arr[])
{
for(int i=0;arr[i]!='\0';i++)
{
if(!isalnum(arr[i]) && prec(arr[i])==-1)
{
printf("Invalid infix expression\n");
exit(0);
}
if(isalnum(arr[i]))
{
treenode *temp=createTree(arr[i]);
push(t,temp);
}
else if(s->top==-1)
{
treenode *temp=createTree(arr[i]);
push(s,temp);
}
else
{
while(s->top!=-1 && prec(arr[i])<=prec(peek(s)->data) && arr[i]!='^')
{
if(t->top==0)
{
printf("Invalid infix expression\n");
exit(0);
}
treenode *temp=insert(pop(t),pop(t),pop(s));
push(t,temp);
}
push(s,createTree(arr[i]));
}
}
while(s->top!=-1)
{
if(t->top==0)
{
printf("Invalid infix expression\n");
exit(0);
}
treenode *temp=insert(pop(t),pop(t),pop(s));
push(t,temp);
}
return peek(t);
}
void postOrder(treenode *root)
{
if(root==NULL)
return;
postOrder(root->left);
postOrder(root->right);
printf("%c",root->data);
}
int main()
{
stack s,t;
char infix[100];
printf("Enter the infix expression\n");
scanf("%s",infix);
createStack(&s);
createStack(&t);
treenode *root=itp(&s,&t,infix);
postOrder(root);
}