
Data.EventList.Relative.TimeTime  Portability  Haskell 98  Stability  stable  Maintainer  haskell@henningthielemann.de 



Description 
Event lists starting with a time difference and ending with a time difference.


Synopsis 

data T time body   mapBody :: (body0 > body1) > T time body0 > T time body1   mapTime :: (time0 > time1) > T time0 body > T time1 body   zipWithBody :: (body0 > body1 > body2) > [body0] > T time body1 > T time body2   zipWithTime :: (time0 > time1 > time2) > (time0, [time0]) > T time1 body > T time2 body   concatMapMonoid :: Monoid m => (time > m) > (body > m) > T time body > m   traverse :: Applicative m => (time0 > m time1) > (body0 > m body1) > T time0 body0 > m (T time1 body1)   traverse_ :: Applicative m => (time > m ()) > (body > m ()) > T time body > m ()   traverseBody :: Applicative m => (body0 > m body1) > T time body0 > m (T time body1)   traverseTime :: Applicative m => (time0 > m time1) > T time0 body > m (T time1 body)   mapM :: Monad m => (time0 > m time1) > (body0 > m body1) > T time0 body0 > m (T time1 body1)   mapM_ :: Monad m => (time > m ()) > (body > m ()) > T time body > m ()   mapBodyM :: Monad m => (body0 > m body1) > T time body0 > m (T time body1)   mapTimeM :: Monad m => (time0 > m time1) > T time0 body > m (T time1 body)   getTimes :: T time body > [time]   getBodies :: T time body > [body]   duration :: Num time => T time body > time   merge :: (C time, Ord body) => T time body > T time body > T time body   mergeBy :: C time => (body > body > Bool) > T time body > T time body > T time body   insert :: (C time, Ord body) => time > body > T time body > T time body   pad :: C time => time > T time body > T time body   moveForward :: C time => T time (time, body) > T time body   moveForwardRestricted :: (Ord body, C time) => time > T time (time, body) > T time body   moveBackward :: C time => T time (time, body) > T time body   arrange :: (Ord body, C time) => T time (T time body) > T time body   arrangeBy :: C time => (body > body > Bool) > T time (T time body) > T time body   moveForwardRestrictedBy :: C time => (body > body > Bool) > time > T time (time, body) > T time body   moveForwardRestrictedByQueue :: C time => (body > body > Bool) > time > T time (time, body) > T time body   moveForwardRestrictedByStrict :: C time => (body > body > Bool) > time > T time (time, body) > T time body   decreaseStart :: C time => time > T time body > T time body   delay :: C time => time > T time body > T time body   filter :: Num time => (body > Bool) > T time body > T time body   partition :: Num time => (body > Bool) > T time body > (T time body, T time body)   slice :: (Eq a, Num time) => (body > a) > T time body > [(a, T time body)]   foldr :: (time > a > b) > (body > b > a) > a > T time body > b   pause :: time > T time body   isPause :: T time body > Bool   cons :: time > body > T time body > T time body   snoc :: T time body > body > time > T time body   viewL :: T time body > (time, Maybe (body, T time body))   viewR :: T time body > (Maybe (T time body, body), time)   switchL :: (time > a) > ((time, body) > T time body > a) > T time body > a   switchR :: (time > a) > (T time body > body > time > a) > T time body > a   mapMaybe :: Num time => (body0 > Maybe body1) > T time body0 > T time body1   catMaybes :: Num time => T time (Maybe body) > T time body   catMaybesR :: Num time => T time (Maybe body) > T time body   append :: C time => T time body > T time body > T time body   concat :: C time => [T time body] > T time body   concatNaive :: C time => [T time body] > T time body   cycle :: C time => T time body > T time body   cycleNaive :: C time => T time body > T time body   splitAtTime :: C time => time > T time body > (T time body, T time body)   takeTime :: C time => time > T time body > T time body   dropTime :: C time => time > T time body > T time body   discretize :: (C time, RealFrac time, C i, Integral i) => T time body > T i body   resample :: (C time, RealFrac time, C i, Integral i) => time > T time body > T i body   collectCoincident :: C time => T time body > T time [body]   flatten :: Num time => T time [body] > T time body   mapCoincident :: C time => ([a] > [b]) > T time a > T time b   normalize :: (Ord body, C time) => T time body > T time body   isNormalized :: (C time, Ord body) => T time body > Bool   toAbsoluteEventList :: Num time => time > T time body > T time body   fromAbsoluteEventList :: Num time => T time body > T time body 


Documentation 


Instances  


mapBody :: (body0 > body1) > T time body0 > T time body1  Source 


mapTime :: (time0 > time1) > T time0 body > T time1 body  Source 


zipWithBody :: (body0 > body1 > body2) > [body0] > T time body1 > T time body2  Source 


zipWithTime :: (time0 > time1 > time2) > (time0, [time0]) > T time1 body > T time2 body  Source 


concatMapMonoid :: Monoid m => (time > m) > (body > m) > T time body > m  Source 


traverse :: Applicative m => (time0 > m time1) > (body0 > m body1) > T time0 body0 > m (T time1 body1)  Source 








mapM :: Monad m => (time0 > m time1) > (body0 > m body1) > T time0 body0 > m (T time1 body1)  Source 




mapBodyM :: Monad m => (body0 > m body1) > T time body0 > m (T time body1)  Source 


mapTimeM :: Monad m => (time0 > m time1) > T time0 body > m (T time1 body)  Source 


getTimes :: T time body > [time]  Source 


getBodies :: T time body > [body]  Source 




merge :: (C time, Ord body) => T time body > T time body > T time body  Source 

The first important function is merge
which merges the events of two lists into a new time order list.


mergeBy :: C time => (body > body > Bool) > T time body > T time body > T time body  Source 


insert :: (C time, Ord body) => time > body > T time body > T time body  Source 

Note that merge compares entire events rather than just start
times. This is to ensure that it is commutative, a desirable
condition for some of the proofs used in secref{equivalence}.
It is also necessary to assert a unique representation
of the performance independent of the structure of the 'Music.T note'.
The same function for inserting into a time ordered list with a trailing pause.
The strictness annotation is necessary for working with infinite lists.
Here are two other functions that are already known for nonpadded time lists.


pad :: C time => time > T time body > T time body  Source 


moveForward :: C time => T time (time, body) > T time body  Source 

Move events towards the front of the event list.
You must make sure, that no event is moved before time zero.
This works only for finite lists.


moveForwardRestricted :: (Ord body, C time) => time > T time (time, body) > T time body  Source 

Like moveForward but restricts the lookahead time.
For moveForwardRestricted maxTimeDiff xs
all time differences (aka the moveForward offsets) in xs
must be at most maxTimeDiff.
With this restriction the function is lazy enough
for handling infinite event lists.
However the larger maxTimeDiff the more memory and time is consumed.


moveBackward :: C time => T time (time, body) > T time body  Source 


arrange :: (Ord body, C time) => T time (T time body) > T time body  Source 

Merge several event lists respecting the start time of the outer event list.


arrangeBy :: C time => (body > body > Bool) > T time (T time body) > T time body  Source 


moveForwardRestrictedBy :: C time => (body > body > Bool) > time > T time (time, body) > T time body  Source 

currently only for testing


moveForwardRestrictedByQueue :: C time => (body > body > Bool) > time > T time (time, body) > T time body  Source 

currently only for testing


moveForwardRestrictedByStrict :: C time => (body > body > Bool) > time > T time (time, body) > T time body  Source 

currently only for testing


decreaseStart :: C time => time > T time body > T time body  Source 


delay :: C time => time > T time body > T time body  Source 



Analogously to the concat / concatNaive pair
we have to versions of filter,
where the clever implementation sums up pauses
from the beginning to the end.


partition :: Num time => (body > Bool) > T time body > (T time body, T time body)  Source 


slice :: (Eq a, Num time) => (body > a) > T time body > [(a, T time body)]  Source 

Since we need it later for MIDI generation,
we will also define a slicing into equivalence classes of events.


foldr :: (time > a > b) > (body > b > a) > a > T time body > b  Source 






cons :: time > body > T time body > T time body  Source 


snoc :: T time body > body > time > T time body  Source 






switchL :: (time > a) > ((time, body) > T time body > a) > T time body > a  Source 


switchR :: (time > a) > (T time body > body > time > a) > T time body > a  Source 


mapMaybe :: Num time => (body0 > Maybe body1) > T time body0 > T time body1  Source 



Adds times in a leftassociative fashion.
Use this if the time is a strict data type.



Adds times in a rightassociative fashion.
Use this if the time is a data type like lazy Peano numbers
or Numeric.NonNegative.Chunky.


append :: C time => T time body > T time body > T time body  Source 


concat :: C time => [T time body] > T time body  Source 


concatNaive :: C time => [T time body] > T time body  Source 

concat and concatNaive are essentially the same.
concat must use foldr in order to work on infinite lists,
however if there are many empty lists,
summing of their durations will be done from right to left,
which is inefficient.
Thus we detect subsequent empty lists and merge them from left to right.


cycle :: C time => T time body > T time body  Source 

Uses sharing.


cycleNaive :: C time => T time body > T time body  Source 


splitAtTime :: C time => time > T time body > (T time body, T time body)  Source 

If there is an event at the cutting time,
this event is returned in the suffix part.
That is
splitAtTime t0 (t0 . x . t1 ./ empty) ==
(pause t0, 0 . x . t1 ./ empty)


takeTime :: C time => time > T time body > T time body  Source 


dropTime :: C time => time > T time body > T time body  Source 






collectCoincident :: C time => T time body > T time [body]  Source 


flatten :: Num time => T time [body] > T time body  Source 


mapCoincident :: C time => ([a] > [b]) > T time a > T time b  Source 


normalize :: (Ord body, C time) => T time body > T time body  Source 

Sort coincident elements.




toAbsoluteEventList :: Num time => time > T time body > T time body  Source 


fromAbsoluteEventList :: Num time => T time body > T time body  Source 


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