1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
|
-----------------------------------------------------------------------------
-- |
-- Module : Data.Packed.Vector
-- Copyright : (c) Alberto Ruiz 2007
-- License : GPL-style
--
-- Maintainer : Alberto Ruiz <aruiz@um.es>
-- Stability : provisional
-- Portability : portable
--
-- 1D arrays suitable for numeric computations using external libraries.
--
-----------------------------------------------------------------------------
module Data.Packed.Vector (
Vector,
fromList, (|>), toList, buildVector,
dim, (@>),
subVector, takesV, join,
constant, linspace,
vecdisp,
vectorFMax, vectorFMin, vectorFMaxIndex, vectorFMinIndex,
vectorMax, vectorMin, vectorMaxIndex, vectorMinIndex,
mapVector, zipVector,
fscanfVector, fprintfVector, freadVector, fwriteVector,
foldLoop, foldVector, foldVectorG
) where
import Data.Packed.Internal
import Numeric.GSL.Vector
-- import Data.Packed.ST
import Data.Binary
import Foreign.Storable
import Control.Monad(replicateM)
-------------------------------------------------------------------
instance (Binary a, Storable a) => Binary (Vector a) where
put v = do
let d = dim v
put d
mapM_ (\i -> put $ v @> i) [0..(d-1)]
get = do
d <- get
xs <- replicateM d get
return $ fromList xs
-------------------------------------------------------------------
{- | Creates a real vector containing a range of values:
@\> linspace 5 (-3,7)
5 |> [-3.0,-0.5,2.0,4.5,7.0]@
Logarithmic spacing can be defined as follows:
@logspace n (a,b) = 10 ** linspace n (a,b)@
-}
linspace :: Int -> (Double, Double) -> Vector Double
linspace n (a,b) = add a $ scale s $ fromList [0 .. fromIntegral n-1]
where scale = vectorMapValR Scale
add = vectorMapValR AddConstant
s = (b-a)/fromIntegral (n-1)
vectorFMax :: Vector Float -> Float
vectorFMax = toScalarF Max
vectorFMin :: Vector Float -> Float
vectorFMin = toScalarF Min
vectorFMaxIndex :: Vector Float -> Int
vectorFMaxIndex = round . toScalarF MaxIdx
vectorFMinIndex :: Vector Float -> Int
vectorFMinIndex = round . toScalarF MinIdx
vectorMax :: Vector Double -> Double
vectorMax = toScalarR Max
vectorMin :: Vector Double -> Double
vectorMin = toScalarR Min
vectorMaxIndex :: Vector Double -> Int
vectorMaxIndex = round . toScalarR MaxIdx
vectorMinIndex :: Vector Double -> Int
vectorMinIndex = round . toScalarR MinIdx
{- | creates a vector with a given number of equal components:
@> constant 2 7
7 |> [2.0,2.0,2.0,2.0,2.0,2.0,2.0]@
-}
constant :: Element a => a -> Int -> Vector a
-- constant x n = runSTVector (newVector x n)
constant = constantD -- about 2x faster
{- | creates a Vector of the specified length using the supplied function to
to map the index to the value at that index.
@> buildVector 4 fromIntegral
4 |> [0.0,1.0,2.0,3.0]@
-}
buildVector :: Element a => Int -> (Int -> a) -> Vector a
buildVector len f =
fromList $ map f [0 .. (len - 1)]
{- | Show a vector using a function for showing matrices.
@disp = putStr . vecdisp ('dispf' 2)
\> disp ('linspace' 10 (0,1))
10 |> 0.00 0.11 0.22 0.33 0.44 0.56 0.67 0.78 0.89 1.00
@
-}
vecdisp :: (Element t) => (Matrix t -> String) -> Vector t -> String
vecdisp f v
= ((show (dim v) ++ " |> ") ++) . (++"\n")
. unwords . lines . tail . dropWhile (not . (`elem` " \n"))
. f . trans . reshape 1
$ v
|
