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|
-- some tests of the interface for pure
-- computations with inplace updates
import Numeric.LinearAlgebra
import Data.Packed.ST
import Data.Packed.Convert
import Data.Array.Unboxed
import Data.Array.ST
import Control.Monad.ST
import Control.Monad
main = sequence_[
print test1,
print test2,
print test3,
print test4,
test5,
test6,
print test7,
test8,
test0]
-- helper functions
vector l = fromList l :: Vector Double
norm v = pnorm PNorm2 v
-- hmatrix vector and matrix
v = vector [1..10]
m = (5><10) [1..50::Double]
----------------------------------------------------------------------
-- vector creation by in-place updates on a copy of the argument
test1 = fun v
fun :: Element t => Vector t -> Vector t
fun x = runSTVector $ do
a <- thawVector x
mapM_ (flip (modifyVector a) (+57)) [0 .. dim x `div` 2 - 1]
return a
-- another example: creation of an antidiagonal matrix from a list
test2 = antiDiag 5 8 [1..] :: Matrix Double
antiDiag :: (Element b) => Int -> Int -> [b] -> Matrix b
antiDiag r c l = runSTMatrix $ do
m <- newMatrix 0 r c
let d = min r c - 1
sequence_ $ zipWith (\i v -> writeMatrix m i (c-1-i) v) [0..d] l
return m
-- using vector or matrix functions on mutable objects requires freezing:
test3 = g1 v
g1 x = runST $ do
a <- thawVector x
writeVector a (dim x -1) 0
b <- freezeVector a
return (norm b)
-- another possibility:
test4 = g2 v
g2 x = runST $ do
a <- thawVector x
writeVector a (dim x -1) 0
t <- liftSTVector norm a
return t
--------------------------------------------------------------
-- haskell arrays
hv = listArray (0,9) [1..10::Double]
hm = listArray ((0,0),(4,9)) [1..50::Double]
-- conversion from standard Haskell arrays
test5 = do
print $ norm (vectorFromArray hv)
print $ norm v
print $ rcond (matrixFromArray hm)
print $ rcond m
-- conversion to mutable ST arrays
test6 = do
let y = clearColumn m 1
print y
print (matrixFromArray y)
clearColumn x c = runSTUArray $ do
a <- mArrayFromMatrix x
forM_ [0..rows x-1] $ \i->
writeArray a (i,c) (0::Double)
return a
-- hmatrix functions applied to mutable ST arrays
test7 = unitary (listArray (1,4) [3,5,7,2] :: UArray Int Double)
unitary v = runSTUArray $ do
a <- thaw v
n <- norm `fmap` vectorFromMArray a
b <- mapArray (/n) a
return b
-------------------------------------------------
-- (just to check that they are not affected)
test0 = do
print v
print m
--print hv
--print hm
-------------------------------------------------
histogram n ds = runSTVector $ do
h <- newVector (0::Double) n -- number of bins
let inc k = modifyVector h k (+1)
mapM_ inc ds
return h
-- check that newVector is really called with a fresh new array
histoCheck ds = runSTVector $ do
h <- newVector (0::Double) 15 -- > constant for this test
let inc k = modifyVector h k (+1)
mapM_ inc ds
return h
hc = fromList [1 .. 15::Double]
-- check that thawVector creates a new array
histoCheck2 ds = runSTVector $ do
h <- thawVector hc
let inc k = modifyVector h k (+1)
mapM_ inc ds
return h
test8 = do
let ds = [0..14]
print $ histogram 15 ds
print $ histogram 15 ds
print $ histogram 15 ds
print $ histoCheck ds
print $ histoCheck ds
print $ histoCheck ds
print $ histoCheck2 ds
print $ histoCheck2 ds
print $ histoCheck2 ds
putStrLn "----------------------"
|
