Complex_jonah_test 1.0.3

Complex numbers

Disclaimer: I'm a first year student, and i have no idea what i'm doing. In addition, the variables are named with a mix of French and English language.

use using Complex_jonah_test; to import the namespace.

Update

Changed namespace name. No longer you will mention Complex twice. Changed Modulus() method name to Mod().

How to use

Constructors

use the "Complex()" or "Complex(double x,double y)" to define an object (Complex) variable. Example Complex z = new Complex(); // real_number=0 and imaginary_number = 0 or Complex z = new Complex(5,1.5); //real_number = 5 and imaginary_number=1.5

Return the real or the imaginary number

the class stores these 2 numbers as attributes.

Complex z = new Complex(5,1.5);
Console.WriteLine($"{z.reel} , {z.imaginaire}i");
/*Output
5 , 1.5i */

Converting to string

the class overrides ToString() method, this means you can print the object or convert it into a string without special code.

Complex z = new Complex(1,1);
Complex z1 = new Complex(1,-2);
Console.WriteLine(z);
Console.WriteLine(z1);
/*Output:
1+1i
1-2i */

Algebraic operations

Basic "z+z1+..." will return the sum of 2/multiple Complex objects in a Complex type. You can add (+), subtract(-), multiply(*), divide (/), turn value negative (-z).

Complex z = new Complex(1,1);
Complex z1 = new Complex(1,-2);
Console.WriteLine(z+z1);
/*Output:
2-1i */

Mods method (z.Mod() )

Using Pythagoras theorem, we can return the distance to the origin of the point representing the complex number in the complex plane.

Complex z = new Complex(1,0);
Console.WriteLine(z.Mod());
/*Output
1    */

Argument method (z.Arg(string x="rad") )

using Math.ArcTan() to discover the argument. the method takes 2 string inputs: "rad" to return a radiant unit (Default). "deg" to return a degree unit. typing any other string will throw an ArgumentException().

Complex z = new Complex(1,1);
Complex z1 = new Complex(2,5);
Console.WriteLine(z.Arg("deg"));
Console.WriteLine(z1.Arg());
/*Output
45
1.1902899496825317 */