complex : Java Glossary

home page go to the Java Glossary Home go to the Computer Buyer’s Glossary up jump to foot of page Google search web for more information on this topic Pinterest pin button
* 0-9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z (all)
©1996-2017 Roedy Green of Canadian Mind Products

complex
Complex numbers are pairs of floats or doubles with x being the real part and y being the imaginary part. The imaginary part is though of as being multiplied by the √-1 and added to the real part. They can be thought of geometrically as points on the x/y plane. Complex numbers can also be thought of as points defined by polar coordinates consisting of an angle θ anticlockwise from the x axis and a radius r.

Java has no built-in support for complex numbers. To add or subtract two complex numbers you just add or subtract the corresponding real and imaginary parts.

// adding two complex numbers:
(a + ib) + (c + id) = (a+b) + i(b+d)

// subtracting two complex numbers:
(a + ib) - (c + id) = (a-b) + i(b-d)

// multiplying two complex numbers:
(a + ib) * (c + id) = (ac - bd) + i(bc + ad)

// dividing two complex numbers:
(a + ib) / (c + id) = ((ac + bd) + i(bc - ad)) / (c² + d²)

// or in practice:
double bottom = 1.d / (c*c + d*d);
double real = (ac + bd) * bottom;
double imaginary = (bc - ad) * bottom;

This page is posted
on the web at:

 http://mindprod.com/jgloss/complex.html

Optional Replicator mirror
of mindprod.com
on local hard disk J:

 J:\mindprod\jgloss\complex.html
Canadian Mind Products
Please the feedback from other visitors, or your own feedback about the site.
Contact Roedy. Please feel free to link to this page without explicit permission.

IP:[65.110.21.43]
Your face IP:[3.138.114.140]
You are visitor number