Editing Automatic differentiation (section)

=== Operator overloading (OO) ===

[[Image:OperatorOverloadingAutomaticDifferentiation.png|thumb|right|300px|Figure 5: Example of how operator overloading could work]]
[[Operator overloading]] is a possibility for source code written in a language supporting it. Objects for real numbers and elementary mathematical operations must be overloaded to cater for the augmented arithmetic depicted above. This requires no change in the form or sequence of operations in the original source code for the function to be differentiated, but often requires changes in basic data types for numbers and vectors to support overloading and often also involves the insertion of special flagging operations. Due to the inherent operator overloading overhead on each loop, this approach usually demonstrates weaker speed performance.