


How to Build a PHP Calculator Using the Shunting Yard Algorithm?
Dec 08, 2024 pm 05:53 PMHow to Build a Calculator in PHP Using the Shunting Yard Algorithm
Introduction:
Creating a calculator that can handle simple algebraic expressions entered in normal notation presents a challenge, as PHP does not have built-in functionality for expression parsing. To address this, we can leverage the powerful and efficient Shunting Yard Algorithm.
Implementation:
- Tokenization: Split the input string into individual tokens using word boundary and token boundaries (e.g., digits, parentheses, operators).
- Shunting Yard Algorithm: Convert the tokens into Reverse Polish Notation (RPN) using a stack. Operators are pushed and popped based on their precedence and associativity, ensuring proper ordering.
- Evaluation: Process the RPN stack by popping operators and evaluating them. Push the results back onto the stack.
- Handling Operators and Parentheses: Implement classes that encapsulate operators and parentheses, allowing them to operate on the stack and handle special cases.
Example Code:
Implementing the Shunting Yard Algorithm requires a series of classes and functions that represent the various components. Here's an overview:
class TerminalExpression { // Represents operands and operators } class Number extends TerminalExpression { // Represents numeric values } class Operator extends TerminalExpression { // Represents arithmetic operators (+, -, *, /, ^) } class Parenthesis extends TerminalExpression { // Represents parentheses ((), used for grouping) } class Stack { // A simple stack data structure } class Math { // Contains the logic for evaluation and parsing }
Example Usage:
Once implemented, you can use the calculator as follows:
$math = new Math(); $result = $math->evaluate("(2 + 3) * 4"); echo $result; // Output: 20
Benefits of the Shunting Yard Algorithm:
- Efficient and accurate parsing of algebraic expressions
- Supports operator precedence and associativity
- Avoids the need for costly string manipulation or complex regular expressions
- Handles complex expressions involving parentheses and nested calculations
- Can be extended to support more complex mathematical operations
By utilizing the Shunting Yard Algorithm, you can create a PHP calculator that can evaluate simple algebraic expressions in a robust and performant manner.
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