📐 MathPlotter – Project Tour

MathPlotter is a Java Swing desktop app for plotting mathematical functions, performing numerical analysis (integrals, intersections, derivatives, roots, etc.), and exporting results to SVG or JSON.

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Architecture

The project follows a lightweight MVC structure:

• Model → Function, GraphSettings, Point
• View → MainFrame, GraphPanel, ControlPanel (with FunctionInputPanel, CalculationPanel)
• Utils → MathParser, NumericalMethods, SVGExporter

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📂 Key Files

• Main.java → Entry point, launches MainFrame
• MainFrame.java → Sets up the main window, menus, status bar
• GraphPanel.java → Core canvas (draws grid, axes, functions, shaded areas, special points; supports pan/zoom/cursor snap)
• ControlPanel.java → Sidebar controls (add/remove functions, zoom, analysis tools)
• FunctionInputPanel.java → Enter functions, toggle visibility, assign colors
• CalculationPanel.java → Run analyses (intersections, definite integrals, derivatives)
• MathParser.java → Custom recursive-descent parser for math expressions
• NumericalMethods.java → Intersections, integration (Simpson’s rule), derivatives, roots, inflection points
• SVGExporter.java → Exports the current graph view as vector graphics

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Expression Parsing

Expressions are parsed with a custom recursive-descent parser supporting:

• Operators: + - * / ^
• Parentheses and unary +/-
• Constants: pi, e
• Functions: sin, cos, tan, sqrt, abs, log, log10, exp, etc.
• Variables: x

Example:

10 * sin(2*x) + log(2, x)

Parse Tree:

          (+)
         /   \
       (*)    (log base 2)
      /   \       \
   (10)   (sin)    (x)
           |
           (*)
          /   \
        (2)   (x)

Evaluates as:

f(x) = 10 * sin(2*x) + log(x)/log(2)

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Features

• Plot multiple functions with colors & visibility toggles

• Pan, zoom, and reset view

• Snap-to-curve cursor with live coordinates

• Numerical analysis:

  • Intersections between functions
  • Definite integrals (shaded area)
  • Derivatives (auto-added as new functions)

• Export graph as SVG

• Save/load functions as JSON (including derivative chains)

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