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authorAlberto Ruiz <aruiz@um.es>2007-09-17 10:05:05 +0000
committerAlberto Ruiz <aruiz@um.es>2007-09-17 10:05:05 +0000
commite34d5566b9abfd235ce210f9f9909b23d52bd138 (patch)
treed9b0394257a51b805c094178fccf5706ea750182 /lib/LinearAlgebra
parente0528e1a1e9ada67a39a0494f7dfccc2b6aefcad (diff)
interface
Diffstat (limited to 'lib/LinearAlgebra')
-rw-r--r--lib/LinearAlgebra/Algorithms.hs2
-rw-r--r--lib/LinearAlgebra/Interface.hs99
-rw-r--r--lib/LinearAlgebra/Linear.hs20
3 files changed, 101 insertions, 20 deletions
diff --git a/lib/LinearAlgebra/Algorithms.hs b/lib/LinearAlgebra/Algorithms.hs
index 192c0d6..3112ce6 100644
--- a/lib/LinearAlgebra/Algorithms.hs
+++ b/lib/LinearAlgebra/Algorithms.hs
@@ -14,7 +14,7 @@ Portability : uses ffi
14----------------------------------------------------------------------------- 14-----------------------------------------------------------------------------
15 15
16module LinearAlgebra.Algorithms ( 16module LinearAlgebra.Algorithms (
17 mXv, vXm, 17 -- mXv, vXm,
18 inv, 18 inv,
19 pinv, 19 pinv,
20 pinvTol, 20 pinvTol,
diff --git a/lib/LinearAlgebra/Interface.hs b/lib/LinearAlgebra/Interface.hs
new file mode 100644
index 0000000..7d6ff0f
--- /dev/null
+++ b/lib/LinearAlgebra/Interface.hs
@@ -0,0 +1,99 @@
1{-# OPTIONS_GHC -fglasgow-exts #-}
2-----------------------------------------------------------------------------
3{- |
4Module : LinearAlgebra.Interface
5Copyright : (c) Alberto Ruiz 2006
6License : GPL-style
7
8Maintainer : Alberto Ruiz (aruiz at um dot es)
9Stability : provisional
10Portability : portable
11
12Operators for frequent operations.
13
14-}
15-----------------------------------------------------------------------------
16
17module LinearAlgebra.Interface(
18 (<>),(<.>),
19 (.*),(*/),
20 (<|>),(<->),
21) where
22
23import LinearAlgebra.Linear
24import Data.Packed.Vector
25import Data.Packed.Matrix
26
27class Mul a b c | a b -> c where
28 infixl 7 <>
29 -- | matrix product
30 (<>) :: Field t => a t -> b t -> c t
31
32instance Mul Matrix Matrix Matrix where
33 (<>) = multiply
34
35instance Mul Matrix Vector Vector where
36 (<>) m v = flatten $ m <> (asColumn v)
37
38instance Mul Vector Matrix Vector where
39 (<>) v m = flatten $ (asRow v) <> m
40
41---------------------------------------------------
42
43-- | @u \<.\> v = dot u v@
44(<.>) :: (Field t) => Vector t -> Vector t -> t
45infixl 7 <.>
46(<.>) = dot
47
48----------------------------------------------------
49
50-- | @x .* a = scale (recip x) v@
51(.*) :: (Linear c a) => a -> c a -> c a
52infixl 7 .*
53a .* x = scale a x
54
55----------------------------------------------------
56
57-- | @a *\/ x = scale (recip x) a@
58(*/) :: (Linear c a) => c a -> a -> c a
59infixl 7 */
60v */ x = scale (recip x) v
61
62------------------------------------------------
63
64class Joinable a b where
65 joinH :: Field t => a t -> b t -> Matrix t
66 joinV :: Field t => a t -> b t -> Matrix t
67
68instance Joinable Matrix Matrix where
69 joinH m1 m2 = fromBlocks [[m1,m2]]
70 joinV m1 m2 = fromBlocks [[m1],[m2]]
71
72instance Joinable Matrix Vector where
73 joinH m v = joinH m (asColumn v)
74 joinV m v = joinV m (asRow v)
75
76instance Joinable Vector Matrix where
77 joinH v m = joinH (asColumn v) m
78 joinV v m = joinV (asRow v) m
79
80infixl 4 <|>
81infixl 3 <->
82
83{- | Horizontal concatenation of matrices and vectors:
84
85@> (ident 3 -&- 3 * ident 3) |&| fromList [1..6.0]
86(6><4)
87 [ 1.0, 0.0, 0.0, 1.0
88 , 0.0, 1.0, 0.0, 2.0
89 , 0.0, 0.0, 1.0, 3.0
90 , 3.0, 0.0, 0.0, 4.0
91 , 0.0, 3.0, 0.0, 5.0
92 , 0.0, 0.0, 3.0, 6.0 ]@
93-}
94(<|>) :: (Field t, Joinable a b) => a t -> b t -> Matrix t
95a <|> b = joinH a b
96
97-- | Vertical concatenation of matrices and vectors.
98(<->) :: (Field t, Joinable a b) => a t -> b t -> Matrix t
99a <-> b = joinV a b
diff --git a/lib/LinearAlgebra/Linear.hs b/lib/LinearAlgebra/Linear.hs
index 148bbd3..c12e30b 100644
--- a/lib/LinearAlgebra/Linear.hs
+++ b/lib/LinearAlgebra/Linear.hs
@@ -15,8 +15,7 @@ Portability : uses ffi
15 15
16module LinearAlgebra.Linear ( 16module LinearAlgebra.Linear (
17 Linear(..), 17 Linear(..),
18 dot, outer, 18 multiply, dot, outer
19 Mul(..)
20) where 19) where
21 20
22 21
@@ -95,7 +94,6 @@ instance Linear Matrix (Complex Double) where
95 94
96-------------------------------------------------- 95--------------------------------------------------
97 96
98
99-- | euclidean inner product 97-- | euclidean inner product
100dot :: (Field t) => Vector t -> Vector t -> t 98dot :: (Field t) => Vector t -> Vector t -> t
101dot u v = dat (multiply r c) `at` 0 99dot u v = dat (multiply r c) `at` 0
@@ -113,19 +111,3 @@ dot u v = dat (multiply r c) `at` 0
113-} 111-}
114outer :: (Field t) => Vector t -> Vector t -> Matrix t 112outer :: (Field t) => Vector t -> Vector t -> Matrix t
115outer u v = asColumn u `multiply` asRow v 113outer u v = asColumn u `multiply` asRow v
116
117
118class Mul a b c | a b -> c where
119 infixl 7 <>
120 -- | matrix product
121 (<>) :: Field t => a t -> b t -> c t
122
123instance Mul Matrix Matrix Matrix where
124 (<>) = multiply
125
126instance Mul Matrix Vector Vector where
127 (<>) m v = flatten $ m <> (asColumn v)
128
129instance Mul Vector Matrix Vector where
130 (<>) v m = flatten $ (asRow v) <> m
131