Computor v1

Computor v1 is a simple program to solve polynomial equations up to degree 2, showing the reduced form, degree, and solutions.

Usage

# With argument
./computor "5 * X^0 + 4 * X^1 - 9.3 * X^2 = 1 * X^0"

# Interactive mode
./computor

Note: On Windows, you should run the command python computor instead of ./computor.

Examples

Quadratic equation (positive discriminant)

$ ./computor "5 * X^0 + 4 * X^1 - 9.3 * X^2 = 1 * X^0"
Reduced form: 4.0 * X^0 + 4.0 * X^1 - 9.3 * X^2 = 0
Polynomial degree: 2
Discriminant is strictly positive, the two solutions are:
0.905239
-0.475131

Linear equation

$ ./computor "5 * X^0 + 4 * X^1 = 4 * X^0"
Reduced form: 1.0 * X^0 + 4.0 * X^1 = 0
Polynomial degree: 1
The solution is:
-0.25

Complex solutions (negative discriminant)

$ ./computor "1 * X^0 + 2 * X^1 + 5 * X^2 = 0"
Reduced form: 1.0 * X^0 + 2.0 * X^1 + 5.0 * X^2 = 0
Polynomial degree: 2
Discriminant is strictly negative, the two complex solutions are:
-0.2 + 0.4i
-0.2 - 0.4i

Degree > 2

$ ./computor "8 * X^0 - 6 * X^1 + 0 * X^2 - 5.6 * X^3 = 3 * X^0"
Reduced form: 5.0 * X^0 - 6.0 * X^1 + 0.0 * X^2 - 5.6 * X^3 = 0
Polynomial degree: 3
The polynomial degree is strictly greater than 2, I can't solve.

Special cases

# Infinite solutions
$ ./computor "6 * X^0 = 6 * X^0"
Reduced form: 0.0 * X^0 = 0
Polynomial degree: 0
Any real number is a solution.

# No solution
$ ./computor "10 * X^0 = 15 * X^0"
Reduced form: -5.0 * X^0 = 0
Polynomial degree: 0
No solution.

Input Format

Equations must follow this format:

• Terms: coefficient * X^degree
• Example: 5 * X^2 + 3 * X^1 - 2 * X^0 = 0
• Spaces are optional
• Coefficients can be decimals: 3.14 * X^2
• Signs: + or -

Requirements

• Python 3.x
• No external dependencies