Complex_jonah_test 1.0.4

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

Overrided operators == and !=, you can now check wether 2 Complex objects hold the same values. Override Equals() but not Gethashcode().

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 */

Check for equality

You can check if two diffrent objects hold the same or diffrent value.

Complex z = new Complex(5,5);
Complex z1= new Complex(5,5);
Console.WriteLine(z==z1);
Console.WriteLine(z!=z1);
/*Output
True
False  */

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 */