Algorithm (Workflow)

This function, named axisratio, calculates the axis ratio of a plot in MATLAB. It is part of the SolidGeometry library and was introduced in version 5.0. The function does not take any input parameters and returns a vector ar as output.

Input Parameters

The function does not require any input parameters.

Output

The output ar is a vector that contains the axis ratios. Specifically, it returns a vector in the form [1, y/x, z/x], where y/x is the ratio of the y-axis length to the x-axis length, and z/x is the ratio of the z-axis length to the x-axis length if a third dimension is present.

Algorithm Steps

1. The function retrieves the current axis limits using the axis command, which returns a vector ax containing the limits of the x, y, and possibly z axes.
2. It calculates the difference between the maximum and minimum x-axis limits, dx = ax(2) - ax(1).
3. It calculates the difference between the maximum and minimum y-axis limits, dy = ax(4) - ax(3).
4. The function initializes the output vector ar with the value [1, dy/dx], representing the ratio of the y-axis to the x-axis.
5. If the axis vector ax contains more than four elements, it indicates the presence of a z-axis. The function then calculates the difference between the maximum and minimum z-axis limits, dz = ax(6) - ax(5).
6. The function appends the z-axis ratio dz/dx to the output vector ar, resulting in [1, dy/dx, dz/dx].

Example Usage

An example of how to use the function is provided in the comments:

figure; 
view(-30,30); 
SGplotalpha(SGbox); 
axisratio

This example creates a figure, sets the view, plots a box using the SGplotalpha function, and then calls axisratio to calculate and display the axis ratios.