Just wondering if anyone can share their tips or process of how they go about validating their own custom algorithms before writing a single line of code. How do you go about testing/validating the conceptual (mathematical) idea that your code is based on? Do you validate the conceptual idea first or do you just go head first with the implementation, and see if it works.
Do you use proof by mathematical induction? Say for example in the case of lighting, shadow rendering, animation,
and etc.