I'm working on a Scheme interpreter written in C. Currently it uses the C runtime stack as its own stack, which is presenting a minor problem with implementing continuations. My current solution is manual copying of the C stack to the heap then copying it back when needed. Aside from not being standard C, this solution is hardly ideal.
What is the simplest way to implement continuations for Scheme in C?
A good summary is available in Implementation Strategies for First-Class Continuations, an article by Clinger, Hartheimer, and Ost. I recommend looking at Chez Scheme's implementation in particular.
Stack copying isn't that complex and there are a number of well-understood techniques available to improve performance. Using heap-allocated frames is also fairly simple, but you make a tradeoff of creating overhead for "normal" situation where you aren't using explicit continuations.
If you convert input code to continuation passing style (CPS) then you can get away with eliminating the stack altogether. However, while CPS is elegant it adds another processing step in the front end and requires additional optimization to overcome certain performance implications.