Architecture Validated
🚀 Math Engine Update: Core Architecture Validated!
I've successfully run the first operation where the entire system works together. To achieve this, I built a robust architecture using key design patterns: Facade, Strategy, Template Method, and Visitor for data structures like Binary and B-Trees.
🔧 The engine's pipeline:
User Input -> String Tokenization
Shunting Yard -> Intelligent Parser
Tree Creation where each leaf is a string representing a math object and containing its values.
A Visitor traverses the tree and sends each string to the corresponding Strategy.
The object is instantiated, solves nested operations (e.g., a root within a denominator), and serializes itself back to a string.
The Visitor continues operating on the result until a final solution is found.
Perfect, exact output is delivered to the user.
✅ What this means: The core architecture is tested and working. Now, adding new math objects (polynomials, equations, even Gröbner bases!) becomes a linear, systematic task.
