Solutions approach

We will divide the requirement into the two following parts:

  • A library for evaluating arbitrary mathematical expressions
  • An application which will consume the aforementioned library to plot data

The expression evaluator library requirements can be enumerated as follows:

  • Modeling expressions as AST
  • Writing a lexical analyzer
  • Writing a recursive descent parser
  • Depth first walk of the tree
  • Supporting trigonometric functions and pseudo variable ($)
  • Packaging everything as a facade pattern-based API

The application requirements can be enumerated as follows:

  • A screen with a WPF 2D graphics surface
  • A prompt for entering expressions
  • Implementation of the observer for detecting a new plot request
  • Passing the value to the expressions library for change in the X-coordinate value
  • Rendering the resulting value
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