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Create Infix to Postfix Conversion using stacks
Application of stacks
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data_structures/stack/Infix to Postfix Conversion using stacks
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#include <stdio.h> | ||
#include <stdlib.h> | ||
#include <string.h> | ||
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struct stack | ||
{ | ||
int size; | ||
int top; | ||
char *arr; | ||
}; | ||
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int stackTop(struct stack* sp){ | ||
return sp->arr[sp->top]; | ||
} | ||
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int isEmpty(struct stack *ptr) | ||
{ | ||
if (ptr->top == -1) | ||
{ | ||
return 1; | ||
} | ||
else | ||
{ | ||
return 0; | ||
} | ||
} | ||
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int isFull(struct stack *ptr) | ||
{ | ||
if (ptr->top == ptr->size - 1) | ||
{ | ||
return 1; | ||
} | ||
else | ||
{ | ||
return 0; | ||
} | ||
} | ||
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void push(struct stack* ptr, char val){ | ||
if(isFull(ptr)){ | ||
printf("Stack Overflow! Cannot push %d to the stack\n", val); | ||
} | ||
else{ | ||
ptr->top++; | ||
ptr->arr[ptr->top] = val; | ||
} | ||
} | ||
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char pop(struct stack* ptr){ | ||
if(isEmpty(ptr)){ | ||
printf("Stack Underflow! Cannot pop from the stack\n"); | ||
return -1; | ||
} | ||
else{ | ||
char val = ptr->arr[ptr->top]; | ||
ptr->top--; | ||
return val; | ||
} | ||
} | ||
int precedence(char ch){ | ||
if(ch == '*' || ch=='/') | ||
return 3; | ||
else if(ch == '+' || ch=='-') | ||
return 2; | ||
else | ||
return 0; | ||
} | ||
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int isOperator(char ch){ | ||
if(ch=='+' || ch=='-' ||ch=='*' || ch=='/') | ||
return 1; | ||
else | ||
return 0; | ||
} | ||
char* infixToPostfix(char* infix){ | ||
struct stack * sp = (struct stack *) malloc(sizeof(struct stack)); | ||
sp->size = 10; | ||
sp->top = -1; | ||
sp->arr = (char *) malloc(sp->size * sizeof(char)); | ||
char * postfix = (char *) malloc((strlen(infix)+1) * sizeof(char)); | ||
int i=0; // Track infix traversal | ||
int j = 0; // Track postfix addition | ||
while (infix[i]!='\0') | ||
{ | ||
if(!isOperator(infix[i])){ | ||
postfix[j] = infix[i]; | ||
j++; | ||
i++; | ||
} | ||
else{ | ||
if(precedence(infix[i])> precedence(stackTop(sp))){ | ||
push(sp, infix[i]); | ||
i++; | ||
} | ||
else{ | ||
postfix[j] = pop(sp); | ||
j++; | ||
} | ||
} | ||
} | ||
while (!isEmpty(sp)) | ||
{ | ||
postfix[j] = pop(sp); | ||
j++; | ||
} | ||
postfix[j] = '\0'; | ||
return postfix; | ||
} | ||
int main() | ||
{ | ||
char * infix = "x-y/z-k*d"; | ||
printf("postfix is %s", infixToPostfix(infix)); | ||
return 0; | ||
} |