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ifp decides whether to apply one or another function depending on the result of a test function, which is passed the current cycle as a number. For example:

d1 $ ifp ((== 0).(flip mod 2))
  (striate 4)
  (# coarse "24 48") $
  sound "hh hc"

This will apply striate 4 for every even cycle, and # coarse "24 48" for every odd one.

Detail: The test function does not rely on anything tidal-specific, it uses plain Haskell functionality for operating on numbers. That is, it calculates the modulo of 2 of the current cycle which is either 0 (for even cycles) or 1. It then compares this value against 0 and returns the result, which is either True or False. This is what the first part of ifp's type signature signifies (Int -> Bool), a function that takes a whole number and returns either True or False.