/** * @file * @brief Evaluation of [Postfix Expression](https://en.wikipedia.org/wiki/Reverse_Polish_notation) * @author [Darshana Sarma](https://github.com/Darshana-Sarma) * @details * Create a stack to store operands (or values). * Scan the given expression and do following for every scanned element. * If the element is a number, push it into the stack * If the element is a operator, pop operands for the operator from stack. * Evaluate the operator and push the result back to the stack * When the expression is ended, the number in the stack is the final answer */ #include // for all_of #include // for std::array #include // for assert #include // for io operations #include // for stof /** * @namespace others * @brief Other algorithms */ namespace others { /** * @namespace postfix_expression * @brief Functions for Postfix Expression algorithm */ namespace postfix_expression { /** * @brief Creates an array to be used as stack for storing values */ class Stack { public: std::array stack{}; ///< Array which will be used to store numbers in the input int stackTop = -1; ///< Represents the index of the last value added to array. -1 means array is empty }; /** * @brief Pushing operand, also called the number in the array to the stack * @param operand float value from the input array or evaluation * @param stack stack containing numbers * @returns none */ void push(float operand, Stack *stack) { stack->stackTop++; stack->stack[stack->stackTop] = operand; } /** * @brief Popping operand, also called the number from the stack * @param stack stack containing numbers * @returns operand float on top of stack */ float pop(Stack *stack) { float operand = stack->stack[stack->stackTop]; stack->stackTop--; return operand; } /** * @brief Checks if scanned string is a number * @param s scanned string * @returns bool boolean value if string is number */ bool is_number(const std::string &s) { return !s.empty() && std::all_of(s.begin(), s.end(), ::isdigit); } /** * @brief Evaluate answer using given last two operands from and operation * @param a second last added operand which will be used for evaluation * @param b last added operand which will be used for evaluation * @param operation to be performed with respective floats * @param stack containing numbers * @returns none */ void evaluate(float a, float b, const std::string &operation, Stack *stack) { float c = 0; const char *op = operation.c_str(); switch (*op) { case '+': c = a + b; // Addition of numbers others::postfix_expression::push(c, stack); break; case '-': c = a - b; // Subtraction of numbers others::postfix_expression::push(c, stack); break; case '*': c = a * b; // Multiplication of numbers others::postfix_expression::push(c, stack); break; case '/': c = a / b; // Division of numbers others::postfix_expression::push(c, stack); break; default: std::cout << "Operator not defined\n"; break; } } /** * @brief Postfix Evaluation algorithm to compute the value from given input * array * @tparam N number of array size * @param input Array of characters consisting of numbers and operations * @returns stack[stackTop] returns the top value from the stack */ template float postfix_evaluation(std::array input) { Stack stack; int j = 0; while (j < N) { std::string scan = input[j]; if (is_number(scan)) { push(std::stof(scan), &stack); } else { float op2 = pop(&stack); float op1 = pop(&stack); evaluate(op1, op2, scan, &stack); } j++; } std::cout << stack.stack[stack.stackTop] << "\n"; return stack.stack[stack.stackTop]; } } // namespace postfix_expression } // namespace others /** * @brief Test function 1 with input array * {'2', '3', '1', '*', '+', '9', '-'} * @returns none */ static void test_function_1() { std::array input = {"2", "3", "1", "*", "+", "9", "-"}; float answer = others::postfix_expression::postfix_evaluation(input); assert(answer == -4); } /** * @brief Test function 2 with input array * {'1', '2', '+', '2', '/', '5', '*', '7', '+'} * @returns none */ static void test_function_2() { std::array input = {"100", "200", "+", "2", "/", "5", "*", "7", "+"}; float answer = others::postfix_expression::postfix_evaluation(input); assert(answer == 757); } /** * @brief Main function * @returns 0 on exit */ int main() { test_function_1(); test_function_2(); std::cout << "\nTest implementations passed!\n"; return 0; }