Thun/docs/reference/primrec.md

1.5 KiB

## primrec Combinator From the "Overview of the language JOY" > The primrec combinator expects two quoted programs in addition to a > data parameter. For an integer data parameter it works like this: If > the data parameter is zero, then the first quotation has to produce the > value to be returned. If the data parameter is positive then the second > has to combine the data parameter with the result of applying the > function to its predecessor. > 5 [1] [*] primrec > Then primrec tests whether the top element on the stack (initially the > 5) is equal to zero. If it is, it pops it off and executes one of the > quotations, the [1] which leaves 1 on the stack as the result. > Otherwise it pushes a decremented copy of the top element and recurses. > On the way back from the recursion it uses the other quotation, [*], > to multiply what is now a factorial on top of the stack by the second > element on the stack. 0 [Base] [Recur] primrec
      Base

         n [Base] [Recur] primrec
------------------------------------------ n > 0
   n (n-1) [Base] [Recur] primrec Recur

Discussion

Simple and useful specialization of the [genrec] combinator from the original Joy system.

[genrec] [tailrec]