 | event-list-0.0.5: Event lists with relative or absolute time stamps | Contents | Index |
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| Data.EventList.Relative.TimeTime | | Portability | Haskell 98 | | Stability | stable | | Maintainer | haskell@henning-thielemann.de |
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| Description |
| Event lists starting with a time difference and ending with a time difference.
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| Synopsis |
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| data T time body | | | mapBody :: (body0 -> body1) -> T time body0 -> T time body1 | | | mapTime :: (time0 -> time1) -> T time0 body -> 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 | | | 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) | | | mapMaybe :: Num time => (body0 -> Maybe body1) -> T time body0 -> T time body1 | | | catMaybes :: 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 |
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| Documentation |
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| data T time body |
 Instances | |
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| mapBody :: (body0 -> body1) -> T time body0 -> T time body1 |
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| mapTime :: (time0 -> time1) -> T time0 body -> T time1 body |
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| mapM :: Monad m => (time0 -> m time1) -> (body0 -> m body1) -> T time0 body0 -> m (T time1 body1) |
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| mapM_ :: Monad m => (time -> m ()) -> (body -> m ()) -> T time body -> m () |
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| mapBodyM :: Monad m => (body0 -> m body1) -> T time body0 -> m (T time body1) |
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| mapTimeM :: Monad m => (time0 -> m time1) -> T time0 body -> m (T time1 body) |
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| getTimes :: T time body -> [time] |
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| getBodies :: T time body -> [body] |
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| duration :: Num time => T time body -> time |
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| merge :: (C time, Ord body) => T time body -> T time body -> T time body |
| The first important function is merge
which merges the events of two lists into a new time order list.
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| mergeBy :: C time => (body -> body -> Bool) -> T time body -> T time body -> T time body |
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| insert :: (C time, Ord body) => time -> body -> T time body -> T time body |
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 non-padded time lists.
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| decreaseStart :: C time => time -> T time body -> T time body |
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| delay :: C time => time -> T time body -> T time body |
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| filter :: Num time => (body -> Bool) -> T time body -> T time body |
| 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.
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| partition :: Num time => (body -> Bool) -> T time body -> (T time body, T time body) |
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| slice :: (Eq a, Num time) => (body -> a) -> T time body -> [(a, T time body)] |
| Since we need it later for MIDI generation,
we will also define a slicing into equivalence classes of events.
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| foldr :: (time -> a -> b) -> (body -> b -> a) -> a -> T time body -> b |
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| pause :: time -> T time body |
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| isPause :: T time body -> Bool |
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| cons :: time -> body -> T time body -> T time body |
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| snoc :: T time body -> body -> time -> T time body |
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| viewL :: T time body -> (time, Maybe (body, T time body)) |
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| viewR :: T time body -> (Maybe (T time body, body), time) |
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| mapMaybe :: Num time => (body0 -> Maybe body1) -> T time body0 -> T time body1 |
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| catMaybes :: Num time => T time (Maybe body) -> T time body |
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| append :: C time => T time body -> T time body -> T time body |
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| concat :: C time => [T time body] -> T time body |
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| concatNaive :: C time => [T time body] -> T time body |
| 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.
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| cycle :: C time => T time body -> T time body |
| Uses sharing.
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| cycleNaive :: C time => T time body -> T time body |
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| splitAtTime :: C time => time -> T time body -> (T time body, T time body) |
| 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)
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| takeTime :: C time => time -> T time body -> T time body |
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| dropTime :: C time => time -> T time body -> T time body |
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| discretize :: (C time, RealFrac time, C i, Integral i) => T time body -> T i body |
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| resample :: (C time, RealFrac time, C i, Integral i) => time -> T time body -> T i body |
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| collectCoincident :: C time => T time body -> T time [body] |
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| flatten :: Num time => T time [body] -> T time body |
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| mapCoincident :: C time => ([a] -> [b]) -> T time a -> T time b |
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| normalize :: (Ord body, C time) => T time body -> T time body |
| Sort coincident elements.
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| isNormalized :: (C time, Ord body) => T time body -> Bool |
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| toAbsoluteEventList :: Num time => time -> T time body -> T time body |
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| fromAbsoluteEventList :: Num time => T time body -> T time body |
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| Produced by Haddock version 2.1.0 |