Some changes might feel unnecessary, but I felt like it would be better to have those changes. Like the more conventional font for real number set or the extra line of explanation for linear transformation.

• Updated plotter:
  • 'curvipy.Plotter' now draws axes ticks and arrows (to indicate the axis direction).
  • Removed 'interval: curvipy.Interval' parameter of 'curvipy.Plotter.plot_curve()' and 'curvipy.Plotter.plot_animated_curve()' methods.
  • 'curvipy.Plotter.plot_vector()' can now display vector's components.
  • Created 'curvipy.PlottingConfiguration' and 'curvipy.AxesConfiguration'
    • Updated 'curvipy.Plotter' builder parameters to 'curvipy.Plotter(window_title: str = "Curvipy", background_color: str = "#FFFFFF", plotting_config: PlottingConfiguration, axes_config: AxesConfiguration)'.
    • Now 'x_axis_scale' and 'y_axis_scale' (defined at curvipy.AxesConfiguration') can take any real value (negative or positive) and default to one.
• Updated vector:
  • Added vector, addition, subtraction, scaling and equality.
  • Created 'curvipy.Vector.place()' method which moves the vector to a specified set of coordinates.
• Updated curves:
  • Removed 'interval: curvipy.Interval' parameter of 'curvipy.Curve.points()' method.
  • Added 'interval: curvipy.Interval' parameter to 'curvipy.Function' and 'curvipy.ParametricFunction' builder.
• Updated documentation.

A few aspects to keep in mind:

• Number shown depend on 'curvipy.Plotter.x_axis_scale' and 'curvipy.Plotter.y_axis_scale'.
• Add a new 'curvipy.Plotter' attribute to indicate the quantity of numbers to be displayed on the axes.
• Add a method 'curvipy.ScreenFacade' to display text on screen. This method will be used by 'curvipy.Plotter' to display the numbers on the axes.

Given the vectors $\vec{v}$ and $\vec{w}$, we want to compute $\vec{n} = \vec{v} + \vec{w}$ and $\vec{m} = \vec{v} - \vec{w}$ as shown below:

import curvipy

v = curvipy.Vector([10, 10])
w = curvipy.Vector([5, -5])
n = v + w
m = v - w

This is not possible on Curvipy 1.0.1. To do so, users have to calculate $\vec{n}$ and $\vec{m}$ manually:

import curvipy

v = curvipy.Vector([10, 10])
w = curvipy.Vector([5, -5])
n = curvipy.Vector([10 + 5, 10 + (-5)])
m = curvipy.Vector([10 - 5, 10 - (-5)])

The idea is to exclude a list of values from the interval, so they won't be considered when plotting the curve.

curvipy.Interval:
    Parameters
    ----------
    start : int or float
        Real number in which the interval starts.
    end : int or float
        Real number in which the interval ends.
    samples: int
        Number of values within the interval. The more samples, the more precise the \
        curve plot is.
    exclude: list[int or float]
        List of values that will be excluded from the interval.

Example: imagine we want to plot the curve $f(x) = 1/x$ on the interval $x \in [-a, a]$. Since $f(0)$ is not defined, the current way of doing that is to create two intervals:

import curvipy


def f(x):
    return 1 / x


plotter = curvipy.Plotter()

a = 10
curve = curvipy.Function(f)
interval_one = curvipy.Interval(-a, -0.1, 100)
interval_two = curvipy.Interval(0.1, a, 100)

plotter.plot_curve(curve, interval_one)
plotter.plot_curve(curve, interval_two)
plotter.wait()

With an 'exclude' parameter on 'curvipy.Interval' class, we could accomplish the same goal with only one interval:

import curvipy


def f(x):
    return 1 / x


plotter = curvipy.Plotter()

a = 10
curve = curvipy.Function(f)
interval = curvipy.Interval(-a, a, 200, exclude=[0])

plotter.plot_curve(curve, interval)
plotter.wait()

If somebody wants to work on it, please make a comment. Implementing this is not as easy as it seems and might need modifications in other classes like curvipy.Plotter and/or curvipy.Curve.

This update brings a structure improvement and better documentation. Curvipy 1.0.0 scripts are completely compatible with this new version:

• Made modules private. Now importing curvipy will only import its classes.
• Created 'curvipy._screen' module. This module contains the 'ScreenFacade' class which encapsulates the turtle package functionalities.
• Updated documentation.

• Added 'curvipy.curve' module. This module contains the classes:
  • 'Curve': base class for all two-dimensional curves.
  • 'Function': unction that given a real number returns another real number.
  • 'ParametricFunction': function that given a real number returns a 2-dimensional vector.
  • 'TransformedCurve': applies a linear transformation to the given curve.
• Added 'curvipy.interval' module. This module contains the class 'Interval', which is the interval in which a curve will be plotted.
• Added 'curvipy.vector' module. This module contains the class 'Vector', which is a two-dimensional vector.
• Updated 'curvipy.graphing_calculator' module (now named 'curvipy.plotter'):
  • Renamed 'curvipy.graphing_calculator' to 'curvipy.plotter' and its class 'GraphingCalculator' to 'Plotter'.
  • Replaced methods 'draw_vector', 'draw_curve' and 'draw_animated_curve' with 'plot_vector', 'plot_curve' and 'plot_animated_curve' respectively.
• Deleted 'curvipy.lintrans' module. Linear transformations can now be defined with 'curvipy.TransformedCurve' class.
• Updated README and docs.
• Deleted 'examples' folder since README and docs now contains a Usage Example section.

GIFs shown on documentation (both README and docs) are from curvipy v1.0.1. To update the animations, just run the code shown above the GIF and record the screen with some third party software (e.g. ActivePresenter).

A function that rotates the curve by a certain $\theta$ angle. The implementation is easy, it will take $\theta$, and the curve as input, and method is just like TransformedCurve, but the matrix used will be:

$$A(\theta)=\begin{pmatrix} \cos\theta & -\sin\theta\ \sin\theta & \cos\theta \end{pmatrix}$$