My Python Scripts

Draws the basic-eight color palette of the classic 1977 Atari 2600.

The script bezier1 plots a Bezier curve of degree 1, 2, or 3 in one of four colors: black (0), red (1), green (2), and blue (3). The script uses the ion module, which allows input directly from the keyboard. Edward Shore 5/2/2021

Calculus, Derivative, Sum, Integral (Simpson’s Rule), Solve f(x) = 0 (Newton’s Method)

Looping circles - Turtle module

The following Python script compares a contrast of colored text (foreground) color against a background color. It is important to have good, high contrast. High contrast allows for easy readability and it’s easier on the eyes. This becomes more important when considering web page development to allow accessibility. Sources “How to calculate colour contrast” Accessibility Developer Guide (ADG*). An initiative of Access for all. Last Edited July 29, 2023. Accessed August 8, 2023. https://www.accessibility-developer-guide.com/knowledge/colours-and-contrast/how-to-calculate/ “Relative Luminance” Web Content Accessibility Guidelines (WCAG) 2.0. W3C, Inc. (World Wide Web Consortium, Inc.) Last Edited December 11, 2008. Accessed August 8, 2023. https://www.w3.org/TR/WCAG20/#relativeluminancedef My math and calculator blog: edspi31415.blogspot.com

This script generates a color matrix of random integers 1 through 9, each entry its own colors. Numbers and colors can repeat.

Calculates the cosine similarity between two phrases. When you enter the phrases, do not use punctuation. Exact syntax is matched. Video from StatQuest (January 29, 2023): https://www.youtube.com/watch?v=e9U0QAFbfLI

X-Bar and R Control Chart Source: HP 65 Stat Pac 2, 1975

Solves of the equation: dx/dt = ax(t) + by(t) dy/dt = ax(t) + by(t) with initial conditions x(0) = x0, y(0) = y0

Draws a regular polygon

Draw an ellipse given the length of x and y radii. If x and y are equal, a circle is drawn. The screen is set up to fit the proportion of the 320 x 220 screen. The vertical axis ranges from y = -44 to y = 44 while the horizontal axis ranges from x = -64 to x = 64. The ellipse is centered at (0,0).

Draw a rectangle given its horizontal length (h) and vertical length (v). If the horizontal and vertical lengths are equal, a square is drawn. The rectangle is centered at (0, 0). The screen is set up to fit the proportion of the 320 x 220 screen. The vertical axis ranges from y = -44 to y = 44 while the horizontal axis ranges from x = -64 to x = 64.

Draws an equilateral (60-60-60) triangle. Enter the length of the side (s). The base is set on the x-axis. The screen is set up to fit the proportion of the 320 x 220 screen. The vertical axis ranges from y = -44 to y = 44 while the horizontal axis ranges from x = -64 to x = 64.

Draws an 45-45-90 degree right triangle. Enter the length of the one of the legs (s), not the hypotenuse. The base is set on the x-axis. The screen is set up to fit the proportion of the 320 x 220 screen. The vertical axis ranges from y = -44 to y = 44 while the horizontal axis ranges from x = -64 to x = 64.

Extended Functions - Demonstration of how to create a python file to be used as a module.

Demonstration of how to import a custom module. This must have extf.py loaded to the calculator.

Finance Functions: Python Script Edward Shore - 4/12/2020

(Planned finance update - 2022)

Generate a bar chart of n integers (recommended that n be at least 20). The first digit from

Create a big flashing box between four colors. Modules used: kandinsky and time.

Using the Turtle module to draw a random-color frame with a brown backing.

Draws an equal sign using the turtle module.

Draw a hexagon using Turtle.

Horner’s Method Evaluation of polynomial p(x) at a point x. p(x) is represented as a list of coefficients with powers in descending order. p(x) = a_n * x^n + a_(n-1) * x^(n-1) + … + a2 * x^2 + a1 * x + a0 l1 = [a_n, a_(n-1), … , a2, a1, a0]

Demonstration of the lambda, filter, and map commands.

Inverse and Determinant of a 3 x 3 matrix

A red box of size 20 pixels by 20 pixels jumps around the screen using the modules kandinsky, time, and random. Numworks’ kandinsky does not have a clear screen (as of Version 23), we create a function to “clear” the screen. We can make the screen anything we want but the following code creates the “boring” white screen: def cls(): fill_rect(0,0,320,220,(255,255,255)) Remember the randrange does NOT include the stop value, so if we want to include the stop value, we will need to add it: randrange(start, stop + 1) randrange(start, stop + step, step)

Lunh Algorithm - tests an integer, like a credit card, to see if the Lunh algorithm. This is used to check to see if a credit card number is valid. Source: “Lunh algorithm” https://www.geeksforgeeks.org/luhn-algorithm/ GeeksforGeeks Retrieved January 1. 2021

Matrix without Numpy

Generate a pixel plot of the equation (x^n + y^n) mod m

Payment on a monthly loan with an partial first period (0 to 59 days). The cash flow convention is used. Source: HP 17BII+ Financial Calculator User’s Guide. Ed. 2. Hewlett Packard. San Diego, CA 2004

Template for plotting functions in the form f(x).

This program draws a 2D motion plot from an initial starting point (x, y) given initial velocity and acceleration. The rate and direction of both velocity and acceleration are assumed to be constant. x(t) = ax * t^2 / 2 + vx * t + x0 y(t) = ay * t^2 / 2 + vy * t + y0 where t = number of seconds. The script uses math and matplot.pyplot modules.

Template for plotting parametric equations (x(t), y(t))

Plot a one-level deep recurrence relation. In the def structure, u for u_n-1.

Perfectly fits a polynomial to a set of points. For a set of n points, a polynomial of degree n-1 can be perfect fit to the set of points. For instance, 2 points fit a perfect line, 3 points fit a quadratic polynomial, and 4 points fit a cubic polynomial. Software version 21 or later is required as the numpy module is used.

Numworks - Python Rotated Plot The script rotplot.py allows the user to choose between one of five equations: 1. y = a + bx 2. y = ax^2 + bx + c 3. y = ax^3 + bx^2 + cx + d 4. y = a * sin(bx + c) + d 5. y = a * exp(bx + c ) + d The original plot is in gray, the rotated plot is in blue.

Game: Unscramble five-letter words

Use the Turtle module to draw a simple race track

Large black squares with small red squares using Turtle.

Synthetic Division p(x) / (x - x0) = q(x) + r / (x - x0) where r is the remainder. p(x) and q(x) are represented as a list of coefficients with powers in descending order. p(x) = a_n * x^n + a_(n-1) * x^(n-1) + … + a2 * x^2 + a1 * x + a0 l1 = [a_n, a_(n-1), … , a2, a1, a0] q(x) is similar and is stored in l2.

The Python script target.py is a game where the player is tasked to guess a mystery number. The game has four levels: Level 0: Easy. Range of 50, number between 100 and 999. Level 1: Medium. Range of 100, number is between 1,000 and 9,999. Level 2: Difficult. Range of 250, number is between 10,000 and 99,999. Level 3: Challenge. Range of 500, numbers if between 100,000 and 999,999. After each guess you will be told whether the target is higher or lower than your guess. At the beginning you are given a range where your target number is. Good luck!

Pick a door and test your luck. Will you win the car? Will you win $5,000? Or is there a goat in the future?

Draws a crystal consisting of four 60-80-100 triangles using the Turtle modules. The triangles are modeled after the 3-4-5 right triangle.

The Python’s Turtle does on a sunny, rest day.