Quaternion data class

A Quaternion data class

Description

This is an implementation of quaternions based upon the Cayley-Dickson construction. It make use of recursion and inheritance of data classes. A base type called 'komplex' is defined that acts like MatLab's complex type but is inheritable. It is used to define the other data types recursively. The three normed division algebras, 'komplex', 'quaternion', and 'octonion', are supported in this way. I tossed in the sedenions, too, but of course they are not nicely-normed. The package includes the standard trig functions, log, exp, rotations, and handles symbolic expressions. If you install the package in your 'my_classes' subdirectory and use the pathtool to point to it, the package will be available to you if you get a hankering to perform any quaternion or octonion arithmetic. Also included is a test directory with a script called 'test_driver2' which tests the whole package and spews lots of examples of how to use the functions.

• Acknowledgements: This submission has inspired the following:; Eular angles GUI
• MATLAB release: MATLAB 7 (R14)
• Other requirements: none