Pydrawer: The Python package for visualizing curves and linear transformations in a super simple way

Overview

pydrawer πŸ“

licence

The Python package for visualizing curves and linear transformations in a super simple way.

✏️ Installation

Install pydrawer package with pip:

$ pip install pydrawer

or clone the repository:

$ git clone https://github.com/dylannalex/pydrawer.git

✏️ Usage

πŸ“Œ Drawing curves

To start drawing curves you need to create a GraphingCalculator object:

from pydrawer import GraphingCalculator

graphing_calculator = GraphingCalculator()

pydrawer let you draw parametrized curves and mathematical functions. Lets create and draw the square root of x function for this example:

def square_root(x):
    return x ** (1 / 2)

graphing_calculator.draw(square_root, (0, 25))  # We want to draw the function from x = 0 to x = 25

You can also accomplish the same result by defining the square root of x as a parameterized function:

def square_root(t):
    return t, t ** (1 / 2)

graphing_calculator.draw(square_root, (0, 25))  # We want to draw the curve from t = 0 to t = 25

πŸ“Œ Linear transformations

pydrawer provides a curves module which contains functions for modifying curves with linear transformations.

from pydrawer import curves

πŸ“ curves.transform_curve()

This function let you apply a linear transformation (specified as a matrix) to a parametrized curve. curves.transform_curve() returns the transformed curve.

Parameters:

  • curve: parametrized curve
  • matrix: linear transformation's matrix

The matrix is a tuple of tuples (or list of lists) which has the same structure as numpy arrays. A matrix
[ a b ]
[ c d ]
should be defined as:

matrix = ((a,b), (c,d))

Example:

matrix = ((1, 0), (0, -2))
graphing_calculator.draw(curves.transform_curve(square_root, matrix), (0, 25))

πŸ“ curves.rotate_curve()

Rotates a curve anticlockwise by the given angle.

Parameters:

  • curve: parametrized curve
  • angle: angle in radians
    Example:
angle = pi / 4  # 90 degrees
graphing_calculator.draw(curves.rotate_curve(square_root, angle), (0, 25))

πŸ“ curves.scale_curve()

Scales the given curve by the given scalar.

Parameters:

  • curve: parametrized curve
  • scalar: scalar for scaling the curve
    Example:
scalar = 2  # The function is going to be twice as bigger
graphing_calculator.draw(curves.scale_curve(square_root, 2), (0, 25))
Comments
  • Update Latex expressions

    Update Latex expressions

    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.

    opened by ritamsaha00 8
  • v1.1.1

    v1.1.1

    • Updated plotter:
      • Created 'curvipy.ScreenConfiguration(window_title, background_color, window_width, window_height)'.
        • Removed 'window_title' and 'background_color' attributes from 'curvipy.Plotter' as they are now defined at 'curvipy.ScreenConfiguration'.
      • Updated 'curvipy.AxesConfiguration' attributes:
        • Added 'show_axes_direction'
        • Added 'x_ticks_distance' and 'y_ticks_distance'
          • Removed 'x_axis_scale' and 'y_axis_scale'
        • Renamed 'x_axis_ticks' and 'y_axis_ticks' to 'x_ticks' and 'y_ticks'
        • Renamed 'x_axis_tick_decimals' and 'y_axis_tick_decimals' to 'x_ticks_decimals' and 'y_ticks_decimals'
        • Renamed 'x_axis_tick_number_align' and 'y_axis_tick_number_align' to 'x_ticks_align' and 'y_ticks_align'
        • Renamed 'tick_number_color' to 'ticks_color'
        • Renamed 'tick_number_font' to 'ticks_font'
      • Updated 'curvipy.PlottingConfiguration' attributes:
        • Removed 'PlottingConfiguration.show_vector_values'
        • Removed 'PlottingConfiguration.vector_values_line_color'
        • Removed 'PlottingConfiguration.vector_values_line_width'
    opened by dylannalex 0
  • Update GIFs from docs/source/img for curvipy v1.1.0

    Update GIFs from docs/source/img for curvipy v1.1.0

    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).

    documentation good first issue 
    opened by dylannalex 0
  • v1.1.0

    v1.1.0

    • 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.
    opened by dylannalex 0
  • Show numbers on the x and y axes

    Show numbers on the x and y axes

    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.
    enhancement 
    opened by dylannalex 0
  • Add vector addition and subtraction operations.

    Add vector addition and subtraction operations.

    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)])
    
    enhancement 
    opened by dylannalex 0
  • Add an 'exclude' parameter to 'curvipy.Interval'

    Add an 'exclude' parameter to 'curvipy.Interval'

    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.

    enhancement wontfix 
    opened by dylannalex 0
  • 1.0.1

    1.0.1

    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.
    opened by dylannalex 0
  • Bump to 1.0.0

    Bump to 1.0.0

    • 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.
    opened by dylannalex 0
  • A rotation function

    A rotation function

    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:

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

    enhancement good first issue 
    opened by ritamsaha00 2
Releases(1.1.1)
  • 1.1.1(Dec 31, 2022)

    • Updated plotter:
      • Created 'curvipy.ScreenConfiguration(window_title, background_color, window_width, window_height)'.
        • Removed 'window_title' and 'background_color' attributes from 'curvipy.Plotter' as they are now defined at 'curvipy.ScreenConfiguration'.
      • Updated 'curvipy.AxesConfiguration' attributes:
        • Added 'show_axes_direction'
        • Added 'x_ticks_distance' and 'y_ticks_distance'
          • Removed 'x_axis_scale' and 'y_axis_scale'
        • Renamed 'x_axis_ticks' and 'y_axis_ticks' to 'x_ticks' and 'y_ticks'
        • Renamed 'x_axis_tick_decimals' and 'y_axis_tick_decimals' to 'x_ticks_decimals' and 'y_ticks_decimals'
        • Renamed 'x_axis_tick_number_align' and 'y_axis_tick_number_align' to 'x_ticks_align' and 'y_ticks_align'
        • Renamed 'tick_number_color' to 'ticks_color'
        • Renamed 'tick_number_font' to 'ticks_font'
      • Updated 'curvipy.PlottingConfiguration' attributes:
        • Removed 'PlottingConfiguration.show_vector_values'
        • Removed 'PlottingConfiguration.vector_values_line_color'
        • Removed 'PlottingConfiguration.vector_values_line_width'
    Source code(tar.gz)
    Source code(zip)
  • 1.1.0(Dec 28, 2022)

    • 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.
    Source code(tar.gz)
    Source code(zip)
  • 1.0.1(Nov 28, 2022)

    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.
    Source code(tar.gz)
    Source code(zip)
  • 1.0.0(Oct 22, 2022)

    • 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.
    Source code(tar.gz)
    Source code(zip)
Owner
Dylan Tintenfich
:books: Systems engineering student at Universidad TecnolΓ³gica Nacional Mendoza.
Dylan Tintenfich
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