Funktionen zum Testen der Constraints;Erzeugung und Update der Constraint-Tabellen
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src/DCB.hs
68
src/DCB.hs
@ -14,9 +14,12 @@
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module DCB where
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import Prelude hiding (Int, Double, Float)
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import qualified Prelude (Int, Double, Float)
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--import Stream hiding (map) --same as Data.Stream imported above?
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import Data.Array.Accelerate (Z(..), DIM0, DIM1, DIM2, DIM3, Scalar, Vector, (:.)(..), Array,(!),
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Int8, Int, Float, Double, Acc, Exp, Elt)
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import Data.Array.Accelerate (Z(..),DIM0,DIM1,DIM2,DIM3,Scalar,Vector,(:.)(..),Array,(!),(!!),
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Int8,Int,Float,Double,Acc,Exp,Elt,(>->),(>*),(<*),(>=*),(<=*),(==*),(/=*),(?),(?|),(&&*),(||*))
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import qualified Data.Array.Accelerate as A
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-- change to Data.Array.Accelerate.CUDA as I and link accelerate-cuda to use GPU instead of CPU
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-- depends on accelerate-cuda package in cabal, which needs the installed CUDA-stuff form
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@ -45,26 +48,57 @@ type MultiGraph e = (Vector Int, Array DIM3 e, Constraints, Density)
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preprocess :: Acc (Matrix Int8) -> Acc Attr -> Acc (MultiGraph Int8)
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preprocess adj a = undefined
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{--
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createConstrMat :: Acc Attr -> Acc (Vector Int) -> Acc (Vector double) -> Acc (Matrix Double)
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-- tests whether the minimum amount of attributes are within range
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-- first argument: required attributes to be in range
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-- second argument: constraints vector with 1/0 entries for single attributes
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testConstraints :: Acc (Scalar Int) -> Acc (Vector Int8) -> Exp Bool
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testConstraints minHits = A.the . A.map (\s -> A.the minHits >=* A.fromIntegral s) . A.fold1All (+)
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createConstrMat :: Acc Attr -> Acc (Vector Double) -> Acc (Vector Int)
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-> Acc ((Matrix Double), (Vector Int8))
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createConstrMat attr maxDist nodes =
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let
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(Z:._:.nAttr) = arrayShape attr
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in generate (Z:.nAttr:.3) (initConsrMat attr nodes) >-> {-- calculate first column --}
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--}
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-- generate function for initialising the constraints matrix of a subgraph
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-- first column contains minimum value of each attribute, second column contains maximum value
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-- zeroth column contains 0 after initialisation (should contain 1 if constraints are fulfilled
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-- afterwards)
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initConstrMat :: Acc Attr -> Acc (Vector Int) -> Exp DIM2 -> Exp Double
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initConstrMat attr nodes ix =
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(Z:._:.nAttr) = A.unlift (A.shape attr) :: ((:.) ((:.) Z (Exp Int)) (Exp Int))
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constrMat = A.generate (A.index2 nAttr 3) (genConstrMat)
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-- generator function for the constraints fulfillment matrix
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-- first column contains minimum and second column maximum value of the attributes
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genConstrMat :: Exp DIM2 -> Exp Double
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genConstrMat ix =
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let
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(Z:.idAttr:.col) = A.unlift ix :: ((:.) ((:.) Z (Exp Int)) (Exp Int))
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in case col of
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1 -> A.the $A.minimum (A.map (\i -> attr!(A.index2 i idAttr)) nodes)
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2 -> A.the $A.maximum (A.map (\i -> attr!(A.index2 i idAttr)) nodes)
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_ -> 0.0
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0 -> A.the $A.minimum (A.map (\i -> attr!(A.index2 i idAttr)) nodes)
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1 -> A.the $A.maximum (A.map (\i -> attr!(A.index2 i idAttr)) nodes)
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-- tests whether an attribute is within the accepted threshold
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testDist :: Exp Int -> Exp Double -> Exp Int8
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testDist ix d = abs d <* maxDist!(A.index1 ix) ? (1, 0)
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in A.lift (constrMat, (A.fold1 ((-):: Exp Double -> Exp Double -> Exp Double)
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>-> A.zipWith testDist (A.enumFromN (A.index1 nAttr) 0)) constrMat)
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--subtract values >-> combine with vector of indices and test distance
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--TODO improvable by permute/backpermute?
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--creates the new constraints fulfillment matrix when adding a new node to a known graph
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updateConstrMatrix :: Acc Attr -> Acc (Vector Double) -> Acc (Scalar Int)
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-> Acc (Matrix Double, Vector Int8) -> Acc ((Matrix Double), (Vector Int8))
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updateConstrMatrix attr maxDist node constr =
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let
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(Z:._:.nAttr) = A.unlift (A.shape attr) :: ((:.) ((:.) Z (Exp Int)) (Exp Int))
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(minmax, fulfill) = A.unlift constr :: (Acc (Matrix Double), Acc (Vector Int8))
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newConstr = A.generate (A.shape attr) genUpConstrMat
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genUpConstrMat :: Exp DIM2 -> Exp Double
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genUpConstrMat ix =
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let
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(Z:.idAttr:.col) = A.unlift ix :: ((:.) ((:.) Z (Exp Int)) (Exp Int))
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in case col of
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0 -> A.min (attr!(A.index2 (A.the node) idAttr)) (minmax!(A.index2 idAttr 0))
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1 -> A.max (attr!(A.index2 (A.the node) idAttr)) (minmax!(A.index2 idAttr 1))
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testUpDist :: Exp Int -> Exp Double -> Exp Int8
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testUpDist ix d =
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let
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dIx = A.index1 ix
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in fulfill!dIx ==* 1 &&* abs d <* maxDist!dIx ? (1, 0)
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in A.lift (newConstr, (A.fold1 ((-):: Exp Double -> Exp Double -> Exp Double)
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>-> A.zipWith testUpDist (A.enumFromN (A.index1 nAttr) 0)) newConstr)
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expand :: Acc (MultiGraph Int8)-> Acc Adj -> Acc Attr -> Acc (MultiGraph Int8)
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expand g a att = undefined
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