-- This code was automatically generated by lhs2tex --code, from the file 
-- HSoM/SelfSimilar.lhs.  (See HSoM/MakeCode.bat.)

module Euterpea.Examples.SelfSimilar where
import Euterpea
 
data Cluster  = Cluster SNote [Cluster]
type SNote    = (Dur,AbsPitch)
selfSim      :: [SNote] -> Cluster
selfSim pat  = Cluster (0,0) (map mkCluster pat)
    where mkCluster note =
            Cluster note (map (mkCluster . addMult note) pat)

addMult                  :: SNote -> SNote -> SNote
addMult (d0,p0) (d1,p1)  = (d0*d1,p0+p1)
fringe                       :: Int -> Cluster -> [SNote]
fringe 0 (Cluster note cls)  = [note]
fringe n (Cluster note cls)  = concatMap (fringe (n-1)) cls
simToMusic     :: [SNote] -> Music Pitch
simToMusic     = line . map mkNote

mkNote         :: (Dur,AbsPitch) -> Music Pitch
mkNote (d,ap)  = note d (pitch ap)
ss pat n tr te = 
   transpose tr $ tempo te $ simToMusic $ fringe n $ selfSim pat
m0   :: [SNote]
m0   = [(1,2),(1,0),(1,5),(1,7)]

tm0  = instrument Vibraphone (ss m0 4 50 20)
ttm0 = tm0 :=: transpose (12) (revM tm0)
m1   :: [SNote]
m1   = [(1,0),(0.5,0),(0.5,0)]

tm1  = instrument Percussion (ss m1 4 43 2)
m2   :: [SNote]
m2   = [(dqn,0),(qn,4)]

tm2  = ss m2 6 50 (1/50)
m3    :: [SNote]
m3    = [(hn,3),(qn,4),(qn,0),(hn,6)]

tm3   = ss m3 4 50 (1/4)

ttm3  =  let  l1 =  instrument Flute tm3
              l2 =  instrument AcousticBass $
                      transpose (-9) (revM tm3)
         in l1 :=: l2

m4    :: [SNote]
m4    = [  (hn,3),(hn,8),(hn,22),(qn,4),(qn,7),(qn,21),
           (qn,0),(qn,5),(qn,15),(wn,6),(wn,9),(wn,19) ]

tm4   = ss m4 3 50 8
fringe'                        :: Int -> Cluster -> [[SNote]]
fringe' 0  (Cluster note cls)  = [[note]]
fringe' n  (Cluster note cls)  = map (fringe (n-1)) cls
simToMusic'  :: [[SNote]] -> Music Pitch
simToMusic'  = chord . map (line . map mkNote)
ss' pat n tr te = 
   transpose tr $ tempo te $ simToMusic' $ fringe' n $ selfSim pat
ss1  = ss' m2 4 50 (1/8)
ss2  = ss' m3 4 50 (1/2)
ss3  = ss' m4 3 50 2
m5   = [(en,4),(sn,7),(en,0)]
ss5  = ss  m5 4 45 (1/500)
ss6  = ss' m5 4 45 (1/1000)