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Mathematical Software that Performs Direct Interpretation of Infix Notation for Expressions, Comprising of Binaries, Variables, and Constants.

Arithmetic Expressions in Infix Notation are transformed and calculated by the Infix Expression Evaluator, a robust algorithm. It uses postfix notation conversion and C-style evaluation to work. This user-friendly interface enables users to calculate C-style mathematical expressions and present...

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Computational Tool for Mathematical Expression Analysis
Computational Tool for Mathematical Expression Analysis

Mathematical Software that Performs Direct Interpretation of Infix Notation for Expressions, Comprising of Binaries, Variables, and Constants.

The Infix Expression Evaluator is a user-friendly algorithm designed to evaluate C-style arithmetic expressions written in infix notation. This tool is particularly useful for those who want to calculate complex expressions quickly and efficiently.

How it Works

The algorithm consists of ten files, each playing a crucial role in the evaluation process. The main components include the InfixToPostfixConverter, ExpressionEvaluator, and ExpressionGUI.

The InfixToPostfixConverter class is responsible for converting infix expressions to postfix notation. It follows a detailed workflow:

  1. Initializing an empty stack to hold operators and parentheses temporarily.
  2. Scanning the infix expression from left to right, character by character.
  3. Appending operands directly to the postfix output list or string, pushing opening parentheses onto the stack, popping and appending closing parentheses until an opening parenthesis is encountered, and comparing and pushing/popping operators based on their precedence.
  4. After processing all characters, popping and appending remaining operators from the stack to the postfix output.
  5. Returning the postfix expression as a string or list, which represents the equivalent postfix notation of the input infix expression.

Allowed Operators

The algorithm supports a variety of operators, including comparison operators (<, <=, >=, ==, !=), binary logical operators (&&, ||), and binary arithmetic operators (+, -, *, /, %).

C-Style Evaluation

C-style evaluation assumes false as 0 and true as 1 (anything non-zero). This convention is used in the Infix Expression Evaluator algorithm to accommodate the lack of a Boolean data type in C.

Demonstration

The Infix Expression Evaluator is demonstrated using several tester expressions, such as 10 * 5 + 3, 10 * ( 7 + ( 12 - 9 ) ) / 10, and 100 % ( ( 3 + 2 ) + 3 ) / 4. The results are 53, 10, and 1, respectively.

Limitations

The algorithm does not specify the range of numbers it can handle, only that positive integer arguments are allowed. Additionally, the Infix Expression Evaluator does not support any other programming language's Boolean data type or evaluation methods.

User-Friendly Interface

The ExpressionGUI allows users to enter an infix expression manually and compute its value. With this intuitive interface, users can easily evaluate complex expressions without needing to understand the underlying algorithmic details.

[1] PrepInsta, Infix to Postfix Conversion Algorithm, [Online]. Available: https://www.prepinsta.com/blog/infix-to-postfix-conversion-algorithm/ [2] GeeksforGeeks, Infix to Postfix Conversion, [Online]. Available: https://www.geeksforgeeks.org/infix-to-postfix-conversion/ [3] HackerRank, Infix to Postfix Conversion, [Online]. Available: https://www.hackerrank.com/challenges/infix-to-postfix-conversion/problem

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