I went with a tokenizer feeding into a recursive descent parser which felt right and the interviewer seemed fine with the direction.
Start by clarifying the grammar and constraints, then propose a recursive descent parser or stack-based evaluator. Walk through the algorithm step-by-step, handle operator precedence and parentheses, and discuss error handling and edge cases.
Pro tip: Mention that you would first write a tokenizer to separate function names, numbers, and punctuation, as this simplifies the parser and makes the code more maintainable. Also, discuss how to extend the solution to support variables or additional functions.
Ask about input format, allowed operators, error handling, and whether the expression is guaranteed to be valid. Confirm if the output should be a number or a string.
Choose between recursive descent, shunting-yard, or stack-based evaluation. Explain how to handle nested function calls and operator precedence.
Break the string into tokens (numbers, function names, parentheses, commas) and then parse recursively, evaluating as you go or building an AST.
Evaluate the parsed expression, handle division by zero, negative exponents, and large numbers. Discuss error handling for malformed input.
Walk through test cases including nested expressions and edge cases. Discuss time and space complexity and potential optimizations.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
First, clarify the existing solution's design and how it handles function calls and arguments. Then, explain how to generalize the argument parsing and evaluation to support variadic arguments, ensuring that the solution remains extensible and efficient. Finally, discuss potential trade-offs and edge cases.
Pro tip: Demonstrate awareness of real-world parsing challenges by mentioning how variadic arguments affect tokenization and evaluation order, and propose a clean abstraction like a function registry with arity handling.
Briefly restate the existing approach for parsing and evaluating expressions, focusing on how functions and arguments are currently handled.
Determine where the code assumes a fixed number of arguments and outline modifications to support any number of arguments, such as using a list or array.
Explain how to parse variadic arguments, e.g., by recursively parsing expressions until a closing parenthesis, and handling commas as separators.
Describe how to evaluate the function with a variable number of arguments, possibly using apply or spread syntax, and ensure functions like add and mul can accept any count.
Mention considerations like performance, error handling for invalid arguments, and extensibility for future functions.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.