Glyph-graph - A simple, yet versatile, package for graphing equations on a 2-dimensional text canvas

Overview

Glyth Graph

Revision for 0.01

A simple, yet versatile, package for graphing equations on a 2-dimensional text canvas

List of contents:

  1. Brief Introduction
  2. Process Overview
  3. Technical Overview
  4. Function Glossary
  5. Code Example
  6. Legal (MIT license)

Brief Introduction


Glyth Graph is an open-source python package, for graphing equations onto a 2-dimensional array (named the canvas) with a variety of arguments to draw within a specific range and bound. Scaling to the width and height of the canvas in proportion

.

Process Overview


glyth_graph_basic():

Upon attaching the constructor to an object a 2D array with the declared resolution size will be filled with the chosen blank_glyth, named the canvas.

draw_graph():

  1. Check whether the given char_x (x-axis position of the canvas) is within the bounds of the canvas width as stated in the resolution.
  2. If not formatted the equation will be simplified into an expression without 'y', '=' and any spaces.
  3. If not given the y-axis bounds for the equation within the x-axis range will be calculated by repetedly incrementing the x variable.
  4. Then an x variable will be calculated by mapping the char_x from the width to the x-axis range of the equation, equally distributing each increment of char_x in the x-axis.
  5. The x variable will be substitued into the equation to form a y-axis value, which will be mapped from the y-axis bounds of the equation to the canvas height.
  6. Finally, the 2D coordinate of the char_x and char_y value on the canvas will be replaced by the chosen glyth.

Technical Overview


The package operates on mapping values between the x and f(x) from the graph equation to the given resolution of the canvas, translating coordinates with a non-uniform scaling factor to draw a glyth by a 2D index.


Notation form of the equation for mapping charx to x


x-axis Value Equation


where rangefrom and rangeto are respectively the given x-axis region of the equation to draw.



Notation form of the equation for mapping f(x), equal to y, to chary


y-axis Canvas Index Equation


where max and min are respectively the calculated (or given) maximum and minimum y-axis values for the equation within the x-axis region.

Function Glossary


graph_basic(resolution: str, blank_glyth: str = None) -> None

The constructor of the class to create an attached object, setup the canvas array with the arguements given, both the size and blank (background) glyth

 - resolution: the width by the height of the canvas measured in character glyths | 'x'.join([width, height])
 - blank_glyth: the background glyth used for spacing the graph

format_equation(equation: str) -> str

Format the graph equation such that all unecessary characters are removed to be processed, this includes removal of 'y' and '=' if given an equation to form an expression and all ' ' (spaces) present

- equation: the mathematical equation of the graph going to be drawn

y_bounds(self, equation: str, x_range: tuple) -> tuple

Calculate the upper and lower bounds in the y-axis of a graph equation between the given x-axis range, to be used later for mapping positions

- equation: the mathematical equation of the graph going to be drawn
- x_range: a tuple of the x-axis range between which the graph will be used, all outside this is unnecessary

draw_graph(char_x: int, equation: str, glyth: str, x_range: tuple, y_bounds: tuple = None) -> list:

Draw a glyth onto the canvas array dependent on given arguments in relation to the graph equation, including the x-axis range and y-axis bounds of the 2-dimensional section of the graph and character position along the canvas

- char_x: the x_axis glyth position of the canvas, such that it starts to the leftmost position (0) to the rightmost (canvas width - 1) | 0 <= char_x < canvas width
- equation: the mathematical equation of the graph going to be drawn
- glyth: the character/s to be drawn onto the canvas at the calculated coordinate relative to the graph equation
- x_range: a tuple of the x-axis range between which the graph will be used, all outside this is unnecessary | (range_from, range_to)
- y_bounds: a tuple of the y-axis bounds for the x-axis region of the graph, including both the minimum and maximum values | (min, max)

clear_canvas() -> None:

Clear the canvas by replacing all indicies in the array with the blank glyth assigned in the constructor, removing any graphs drawn

print_canvas(clear: bool = None) -> None:

Pretty print the canvas array into equal rows of the set width with newline character moving to the next row, as each index is printed incrementally

- clear: a boolean value (either True or False) whether to clear the each canvas array index after printing the index | True or False

Code Example


A simple code example showing the usage of all functions in the package, with the user inputting variables to produce the wanted graph/s onto the canvas array as random Base64 character glyths:

from glyth_graph import graph_basic
from random import choice

character_set = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/'

print('---Glyth Graph---')

print('\n---Resolution---')
width = int(input('Width (chars): '))
height = int(input('Height (chars): '))

glyth_graph = graph_basic(
    resolution = 'x'.join([str(width), str(height)]),
    blank_glyth = '  '
)

while True:
    print('\n---Graph Properties---')
    equation = glyth_graph.format_equation(input('Equation: '))
    range_from, range_to = int(input('x-axis From: ')), int(input('x-axis To: '))
    print()

    bounds = glyth_graph.y_bounds(
        equation = equation,
        x_range = (range_from, range_to)
    )

    for char_x in range(0, width):
        glyth_graph.draw_graph(
            char_x = char_x,
            equation = equation,
            glyth = choice(character_set),
            x_range = (range_from, range_to),
            y_bounds = bounds
        )

    glyth_graph.print_canvas()


An example of an output to the program, which can vary with custom values for all given inputs, pretty printing the canvas array:

---Glyth Graph---

---Resolution---
Width (chars): 100
Height (chars): 30

Width: 100 | Height: 30

---Graph Properties---
Equation: y = math.sin(x)
x-axis From: 0
x-axis To: 6.283185

                     LbvwLB+K
                  Rp8        49D
                MB              FgW
              Kt                   O
            i6                      +w
           t                          f
          z                            LZ
        k7                               q
       9                                  q
      Y                                    G
     3                                      yP
    r                                         c
   9                                           h
  C                                             4
 f                                               K
l                                                 M                                               oe
                                                   o                                             7
                                                    y                                           n
                                                     O                                         e
                                                      tf                                      0
                                                        M                                    u
                                                         r                                  O
                                                          I                               lv
                                                           o8                            w
                                                             L                          A
                                                              Q2                      uO
                                                                w                   LD
                                                                 zvu              8x
                                                                    nGl        xMw
                                                                       XsohPTDx


License (MIT)



Permissions Conditions Limitations
Commercial use License and copyright notice Liability
Distribution Warranty
Modification
Private use
MIT License

Copyright (c) 2021 Ivan (GitHub: ivanl-exe, E-Mail: [email protected])

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
Owner
Ivan
Advanced programmer, envisioning the future of technology and influence from Web3 and blockchains.
Ivan
A script to generate a profile picture and a banner that show the same image on Discord.

Discord profile picture & banner generator A script to generate a profile picture and a banner that show the same image on Discord. Installation / Upd

Victor B. 9 Nov 27, 2022
DrawBot is a powerful, free application for macOS that invites you to write Python scripts to generate two-dimensional graphics

DrawBot is a powerful, free application for macOS that invites you to write Python scripts to generate two-dimensional graphics.

Frederik Berlaen 344 Jan 06, 2023
Convert bitmap images to seeds for Tiny-83 NFT project.

What is this? This tool allows you to convert any 14p high and 22p wide Bitmap (.bmp) to the seed needed for the Tiny-83 NFT project. Project Twitter:

shib_maximalist 1 Oct 31, 2021
impy is an all-in-one image analysis library, equipped with parallel processing, GPU support, GUI based tools and so on.

impy is All You Need in Image Analysis impy is an all-in-one image analysis library, equipped with parallel processing, GPU support, GUI based tools a

24 Dec 20, 2022
Easy to use Python module to extract Exif metadata from digital image files.

Easy to use Python module to extract Exif metadata from digital image files.

ianaré sévi 719 Jan 05, 2023
Simple program to easily view Euler parameters in 3D.

Simple program to easily view Euler parameters in 3D.

5 Aug 20, 2021
Snowfall - helpful image handling utils - abstracts various file and opencv and pil features into result oriented functions

snowfall helpful image handling utils - abstracts various file and opencv and pil features into result oriented functions usage examples: from image_h

Less Wright 2 Jan 09, 2022
Instagram-like image filters.

PyGram Instagram-like image filters. Usage First, import the client: from filters import * Instanciate a filter and apply it: f = Nashville("image.jp

Ajay Kumar Nagaraj 0 Oct 18, 2022
Hacking github graph with a easy python script

Hacking-Github-Graph Hacking github graph with a easy python script Requirements git latest version installed. A text editor (eg: vs code, sublime tex

SENPAI LEGEND 1 Nov 01, 2021
Pythonocc nodes for Ryven

Pythonocc-nodes-for-Ryven Pythonocc nodes for Ryven Here a way to work on Pythonocc with a node editor, Ryven in that case. To get it functional you w

Tanneguy 30 Dec 18, 2022
thumbor is an open-source photo thumbnail service by globo.com

Survey If you use thumbor, please take 1 minute and answer this survey? It's only 2 questions and one is multiple choice!!! thumbor is a smart imaging

Thumbor (by @globocom) 9.3k Dec 31, 2022
LabelMe annotation tool source code

LabelMe annotation tool source code Here you will find the source code to install the LabelMe annotation tool on your server. LabelMe is an annotation

MIT CSAIL Computer Vision 1.3k Jan 03, 2023
Kainat 13 Mar 07, 2022
A drop-in replacement for django's ImageField that provides a flexible, intuitive and easily-extensible interface for quickly creating new images from the one assigned to the field.

django-versatileimagefield A drop-in replacement for django's ImageField that provides a flexible, intuitive and easily-extensible interface for creat

Jonathan Ellenberger 490 Dec 13, 2022
Manipulate EXIF and IFD metadata.

Tyf Copyright Distribution Support this project Buy Ѧ and: Send Ѧ to AUahWfkfr5J4tYakugRbfow7RWVTK35GPW Vote arky on Ark blockchain and earn Ѧ weekly

16 Jan 21, 2022
QSIprep: Preprocessing and analysis of q-space images

QSIprep: Preprocessing and analysis of q-space images Full documentation at https://qsiprep.readthedocs.io About qsiprep configures pipelines for proc

Lifespan Informatics and Neuroimaging Center 88 Dec 15, 2022
Short piece of code to create a rainbow gif of gradual contours from two shapefiles

rainbow-elevation-gif Short piece of code to create a rainbow gif of gradual con

Jess Roberts 6 Jan 17, 2022
python binding for libvips using cffi

README PyPI package: https://pypi.python.org/pypi/pyvips conda package: https://anaconda.org/conda-forge/pyvips We have formatted docs online here: ht

libvips 467 Dec 30, 2022
Napari 3D Ortho Viewer - an ortho viewer for napari for 3D images

napari-3d-ortho-viewer Napari 3D Ortho Viewer - an ortho viewer for napari for 3D images This napari plugin was generated with Cookiecutter using @nap

niklas netter 5 Nov 28, 2022
Python implementation of image filters (such as brightness, contrast, saturation, etc.)

PyPhotoshop Python implementation of image filters Use Python to adjust brightness and contrast, add blur, and detect edges! Follow along tutorial: ht

Kylie 87 Dec 15, 2022