feat: add infix to postfix converter algorithm (#869)

* add infix to postfix converter algorithm

* docs: documentation changes

* docs: documentation changes

* updating DIRECTORY.md

* docs: documentation changes

* fix: continuous integration

* [test, docs]: add test case, documentation changes

* docs: documentation changes

* fix: continuous integration

* docs: documentation changes

* docs: documentation changes

* test: add new test

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: David Leal <halfpacho@gmail.com>
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Kumar Yash 2021-10-17 05:57:11 +05:30 committed by GitHub
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* [Hexadecimal To Octal](https://github.com/TheAlgorithms/C/blob/master/conversions/hexadecimal_to_octal.c)
* [Hexadecimal To Octal2](https://github.com/TheAlgorithms/C/blob/master/conversions/hexadecimal_to_octal2.c)
* [Infix To Postfix](https://github.com/TheAlgorithms/C/blob/master/conversions/infix_to_postfix.c)
* [Infix To Postfix2](https://github.com/TheAlgorithms/C/blob/master/conversions/infix_to_postfix2.c)
* [Int To String](https://github.com/TheAlgorithms/C/blob/master/conversions/int_to_string.c)
* [Octal To Binary](https://github.com/TheAlgorithms/C/blob/master/conversions/octal_to_binary.c)
* [Octal To Decimal](https://github.com/TheAlgorithms/C/blob/master/conversions/octal_to_decimal.c)

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/**
* @file
* @brief [Infix to Postfix converter](https://www.includehelp.com/c/infix-to-postfix-conversion-using-stack-with-c-program.aspx) implementation
* @details
* The input infix expression is of type string upto 24 characters.
* Supported operations- '+', '-', '/', '*', '%'
* @author [Kumar Yash](https://github.com/kumaryash18)
* @see infix_to_postfix.c
*/
#include <stdio.h> /// for IO operations
#include <string.h> /// for strlen(), strcmp()
#include <ctype.h> /// for isalnum()
#include <stdlib.h> /// for exit()
#include <stdint.h> /// for uint16_t, int16_t
#include <assert.h> /// for assert
/**
* @brief array implementation of stack using structure
*/
struct Stack {
char stack[10]; ///< array stack
int top; ///< stores index of the top element
};
struct Stack st; ///< global declaration of stack st
/**
* @brief Function to push on the stack
* @param opd character to be pushed in the stack
* @returns void
*/
void push(char opd) {
if(st.top == 9) { // overflow condition
printf("Stack overflow...");
exit(1);
}
st.top++;
st.stack[st.top] = opd;
}
/**
* @brief Function to pop from the stack
* @returns popped character
*/
char pop() {
char item; ///< to store the popped value to be returned
if(st.top == -1) { // underflow condition
printf("Stack underflow...");
exit(1);
}
item = st.stack[st.top];
st.top--;
return item;
}
/**
* @brief Function to check whether the stack is empty or not
* @returns 1 if the stack IS empty
* @returns 0 if the stack is NOT empty
*/
uint16_t isEmpty() {
if(st.top == -1) {
return 1;
}
return 0;
}
/**
* @brief Function to get top of the stack
* @returns top of stack
*/
char Top() {
return st.stack[st.top];
}
/**
* @brief Function to check priority of operators
* @param opr operator whose priority is to be checked
* @returns 0 if operator is '+' or '-'
* @returns 1 if operator is '/' or '*' or '%'
* @returns -1 otherwise
*/
int16_t priority(char opr) {
if(opr == '+' || opr == '-') {
return 0;
}
else if(opr == '/' || opr == '*' || opr == '%') {
return 1;
}
else {
return -1;
}
}
/**
* @brief Function to convert infix expression to postfix expression
* @param inf the input infix expression
* @returns output postfix expression
*/
char *convert(char inf[]) {
static char post[25]; ///< to store the postfix expression
int i; ///< loop iterator
int j = 0; ///< keeps track of end of postfix string
for(i = 0; i < strlen(inf); i++) {
if(isalnum(inf[i])) { // if scanned element is an alphabet or number
post[j] = inf[i]; // append in postfix expression
j++;
}
else if(inf[i] == '(') { // if scanned element is opening parentheses
push(inf[i]); // push on stack.
}
else if(inf[i] == ')') { // if scanned element is closing parentheses,
while(Top() != '(') { // pop elements from stack and append in postfix expression
post[j] = pop(); // until opening parentheses becomes top.
j++;
}
pop(); // pop opening parentheses
}
else { // if scanned element is an operator
while( (!isEmpty()) && (priority(inf[i]) <= priority(Top())) ) { // pop and append until stack becomes
post[j] = pop(); // empty or priority of top operator
j++; // becomes smaller than scanned operator
} // '(' has priority -1
push(inf[i]); // push the scanned operator
}
}
while(!isEmpty()) { // pop and append residual operators from stack
post[j] = pop();
j++;
}
post[j] = '\0'; // end postfix string with null character
return post;
}
/**
* @brief Self-test implementations
* @returns void
*/
static void test() {
/* check sample test case
input- "(A/(B-C)*D+E)"
expected output- "ABC-/D*E+"
*/
assert(strcmp(convert("(A/(B-C)*D+E)"), "ABC-/D*E+") == 0); /// this ensures that the algorithm works as expected
/* input- "7-(2*3+5)*(8-4/2)"
expected output- "723*5+842/-*-"
*/
assert(strcmp(convert("7-(2*3+5)*(8-4/2)"), "723*5+842/-*-") == 0); /// this ensures that the algorithm works as expected
printf("All tests have successfully passed!\n");
}
/**
* @brief Main function
* @returns 0 on exit
*/
int main() {
st.top = -1; /// initialize
test(); /// run self-test implementations
char inf[25]; ///< to store input infix expression
printf("Enter infix: ");
scanf("%s", inf);
printf("Postfix: %s", convert(inf));
return 0;
}