ComputorV1

This project is the first in math series

This project aims to code a simple equation solving program. The program will have to display its solution(s).

Description

The project is reqiered to write a program that solves a polynomial second or lower degree equation and show at least:

• The equation in its reduced form.
• The degree of the equation.
• It’s solution(s) and the polarity of the discriminant if it makes sens.

The usage of math lib funstions is forbidden. The program expects the entry to have the right format, ie. every term respect the form a * x^p and exponents are organized and present.

Basic input

	C * X^0 + B * X^1 + A * X^2 = D * X^0 + E * X^1 + F * X^2 / A,B,C,D,E,F ∈ ℝ

Yet, the program is able to handle an input in natural form:

• A single coefficient ("4") is considered to be in factor of X^0.
• A single X is considered to be of coefficient 1 and power 1.
• An absent power ("4 * X") is considered to be 1.
• An absent coefficient ("X^6") is considered to be 1.
• The powers can be in an arbitrary order, possibly repeated.

Natural input

	C + B * X + A * X^2 = D + E * X + F * X^2 / A,B,C,D,E,F ∈ ℝ

Detailed description of the task: computerV1.en.pdf

Usage

Compile and run the program with the script run.sh The scripts contains a lof of usage examples.

For example

$ java com.bhugo.computor.Computor "5 * X^0 + 6 * X^1 - 9.3 * X^2 = 1 * X^0 + 2 * X^1" 
Reduced form: 4 + 4 * X - 9.3 * X^2 = 0
Polynomial degree: 2
Discriminant is strictly positive, the two solutions are:
-0.48
0.91

& java com.bhugo.computor.Computor "4 * X^0 = 8 * X^0"
Reduced form: - 4 * X^0 = 0
Polynomial degree: 0
No solution

& java com.bhugo.computor.Computor"8 * X^0 - 6 * X^1 + 0 * X^2  - 5.6 * X^3 = 3 * X^0" 
Reduced form: 5 - 6 * X - 5.6 * X^3 = 0
Polynomial degree: 3
The polynomial degree is strictly greater than 2, I can't solve.