Math Function Renderer

Overview

This project is a Math Function Renderer that allows users to plot mathematical functions and visualize the resulting plots. The key components of the project include the Reader, Expr, and ExprParser classes, forming the foundation of the rendering process. The expression tree is represented using vectors.

Classes and Components

1. Bounds

   • Represents the bounds of the plot.

2. Color

   • Represents an RGB color value.

3. Exception

   • Defines the PlotException class, which is thrown in case of fatal errors.

4. Expr

   • Represents an expression node type.

5. ExprParser

   • Parses an expression and builds an expression tree using vectors.

6. Fill

   • Represents a fill directive, holding information about two function names, opacity, color, and fill type.

7. Function

   • Represents a function to be plotted, including its name, expression, and associated RGB value.

8. Image

   • Holds information about the image, including height, width, and an array of Color objects representing pixel RGB values.

9. Plot

   • Combines information from other directives, such as bounds, functions, and fills, forming the basis of the plot.

10. Reader

    • Reads a plot file to populate a Plot object.

11. Renderer

    • Renders a Plot object to produce an Image.

Design and Implementation Notes

• The project employs a modular design with separate classes for different components.
• Error handling is centralized in the main.cpp file, catching errors thrown in other classes.

Example Plot

Here is an example plot input file (input/example04.txt):

Plot 0 -2.5 40 2.5 640 480

Function fn1 ( sin x )

Function fn2 ( * 1.6 ( cos x ) )

Color fn1 100 100 255

Color fn2 100 255 100

FillBetween fn1 fn2 0.4 128 0 200

This example produces the following image:

Explanation of the example plot:

• The Plot directive specifies the plot's region and image dimensions.
• Two Function directives define functions to be plotted (fn1 and fn2).
• Two Color directives set the colors for each function.
• The FillBetween directive fills the area between fn1 and fn2 with a specified color and opacity.

Getting Started

1. Clone the repository.
2. Compile and run the program using main.cpp.
3. Create your own plot input files or modify existing ones.

Feel free to explore and visualize various mathematical functions using this Math Function Renderer!