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authorAlberto Ruiz <aruiz@um.es>2015-07-12 14:10:51 +0200
committerAlberto Ruiz <aruiz@um.es>2015-07-12 14:10:51 +0200
commitb4873dbd201e0e887fb9cb5b5fe55774fa6fbe78 (patch)
tree16ae316ab96855c119d1da58d944645033afc1e3 /packages/base/src/Numeric
parentb2341058a2214d22dc23f516b6f09d3270faa18d (diff)
documentation
Diffstat (limited to 'packages/base/src/Numeric')
-rw-r--r--packages/base/src/Numeric/LinearAlgebra.hs13
-rw-r--r--packages/base/src/Numeric/LinearAlgebra/Data.hs21
-rw-r--r--packages/base/src/Numeric/LinearAlgebra/HMatrix.hs6
-rw-r--r--packages/base/src/Numeric/LinearAlgebra/Static.hs4
4 files changed, 31 insertions, 13 deletions
diff --git a/packages/base/src/Numeric/LinearAlgebra.hs b/packages/base/src/Numeric/LinearAlgebra.hs
index dd4cc67..9cab635 100644
--- a/packages/base/src/Numeric/LinearAlgebra.hs
+++ b/packages/base/src/Numeric/LinearAlgebra.hs
@@ -8,11 +8,16 @@ License : BSD3
8Maintainer : Alberto Ruiz 8Maintainer : Alberto Ruiz
9Stability : provisional 9Stability : provisional
10 10
11
11-} 12-}
12----------------------------------------------------------------------------- 13-----------------------------------------------------------------------------
13module Numeric.LinearAlgebra ( 14module Numeric.LinearAlgebra (
14 15
15 -- * Basic types and data processing 16 -- * Basic Types and data manipulation
17 -- | This package works with 2D ('Matrix') and 1D ('Vector')
18 -- arrays of real ('R') or complex ('C') double precision numbers.
19 -- Single precision and machine integers are also supported for
20 -- basic arithmetic and data manipulation.
16 module Numeric.LinearAlgebra.Data, 21 module Numeric.LinearAlgebra.Data,
17 22
18 -- * Numeric classes 23 -- * Numeric classes
@@ -51,9 +56,9 @@ module Numeric.LinearAlgebra (
51 -- ** dot 56 -- ** dot
52 dot, (<.>), 57 dot, (<.>),
53 -- ** matrix-vector 58 -- ** matrix-vector
54 app, (#>), (<#), (!#>), 59 (#>), (<#), (!#>),
55 -- ** matrix-matrix 60 -- ** matrix-matrix
56 mul, (<>), 61 (<>),
57 -- | The matrix product is also implemented in the "Data.Monoid" instance, where 62 -- | The matrix product is also implemented in the "Data.Monoid" instance, where
58 -- single-element matrices (created from numeric literals or using 'scalar') 63 -- single-element matrices (created from numeric literals or using 'scalar')
59 -- are used for scaling. 64 -- are used for scaling.
@@ -172,7 +177,7 @@ import Internal.Sparse((!#>))
172import Internal.CG 177import Internal.CG
173import Internal.Conversion 178import Internal.Conversion
174 179
175{- | infix synonym of 'mul' 180{- | dense matrix product
176 181
177>>> let a = (3><5) [1..] 182>>> let a = (3><5) [1..]
178>>> a 183>>> a
diff --git a/packages/base/src/Numeric/LinearAlgebra/Data.hs b/packages/base/src/Numeric/LinearAlgebra/Data.hs
index d2843c2..a389aac 100644
--- a/packages/base/src/Numeric/LinearAlgebra/Data.hs
+++ b/packages/base/src/Numeric/LinearAlgebra/Data.hs
@@ -8,21 +8,29 @@ License : BSD3
8Maintainer : Alberto Ruiz 8Maintainer : Alberto Ruiz
9Stability : provisional 9Stability : provisional
10 10
11Basic data processing. 11This module provides functions for creation and manipulation of vectors and matrices, IO, and other utilities.
12 12
13-} 13-}
14-------------------------------------------------------------------------------- 14--------------------------------------------------------------------------------
15 15
16module Numeric.LinearAlgebra.Data( 16module Numeric.LinearAlgebra.Data(
17 17
18 -- * Elements
19 R,C,I,Z,type(./.),
20
18 -- * Vector 21 -- * Vector
19 -- | 1D arrays are storable vectors from the vector package. There is no distinction 22 {- | 1D arrays are storable vectors directly reexported from the vector package.
20 -- between row and column vectors. 23 -}
21 24
22 fromList, toList, (|>), vector, range, idxs, 25 fromList, toList, (|>), vector, range, idxs,
23 26
24 -- * Matrix 27 -- * Matrix
25 28
29 {- | The main data type of hmatrix is a 2D dense array defined on top of
30 a storable vector. The internal representation is suitable for direct
31 interface with standard numeric libraries.
32 -}
33
26 (><), matrix, tr, tr', 34 (><), matrix, tr, tr',
27 35
28 -- * Dimensions 36 -- * Dimensions
@@ -56,8 +64,9 @@ module Numeric.LinearAlgebra.Data(
56 -- * Matrix extraction 64 -- * Matrix extraction
57 Extractor(..), (??), 65 Extractor(..), (??),
58 66
59 takeRows, dropRows, takeColumns, dropColumns, 67 (?), (¿), fliprl, flipud,
60 subMatrix, (?), (¿), fliprl, flipud, 68
69 subMatrix, takeRows, dropRows, takeColumns, dropColumns,
61 70
62 remap, 71 remap,
63 72
@@ -92,7 +101,7 @@ module Numeric.LinearAlgebra.Data(
92 separable, 101 separable,
93 fromArray2D, 102 fromArray2D,
94 module Data.Complex, 103 module Data.Complex,
95 R,C,I,Z,Mod, type(./.), 104 Mod,
96 Vector, Matrix, GMatrix, nRows, nCols 105 Vector, Matrix, GMatrix, nRows, nCols
97 106
98) where 107) where
diff --git a/packages/base/src/Numeric/LinearAlgebra/HMatrix.hs b/packages/base/src/Numeric/LinearAlgebra/HMatrix.hs
index 8adaaaf..bac1c0c 100644
--- a/packages/base/src/Numeric/LinearAlgebra/HMatrix.hs
+++ b/packages/base/src/Numeric/LinearAlgebra/HMatrix.hs
@@ -13,7 +13,7 @@ compatibility with previous version, to be removed
13 13
14module Numeric.LinearAlgebra.HMatrix ( 14module Numeric.LinearAlgebra.HMatrix (
15 module Numeric.LinearAlgebra, 15 module Numeric.LinearAlgebra,
16 (¦),(——),ℝ,ℂ,(<·>) 16 (¦),(——),ℝ,ℂ,(<·>),app,mul
17) where 17) where
18 18
19import Numeric.LinearAlgebra 19import Numeric.LinearAlgebra
@@ -23,3 +23,7 @@ infixr 8 <·>
23(<·>) :: Numeric t => Vector t -> Vector t -> t 23(<·>) :: Numeric t => Vector t -> Vector t -> t
24(<·>) = dot 24(<·>) = dot
25 25
26app m v = m #> v
27
28mul a b = a <> b
29
diff --git a/packages/base/src/Numeric/LinearAlgebra/Static.hs b/packages/base/src/Numeric/LinearAlgebra/Static.hs
index d0a790d..0dab0e6 100644
--- a/packages/base/src/Numeric/LinearAlgebra/Static.hs
+++ b/packages/base/src/Numeric/LinearAlgebra/Static.hs
@@ -22,7 +22,7 @@ Stability : experimental
22 22
23Experimental interface with statically checked dimensions. 23Experimental interface with statically checked dimensions.
24 24
25This module is under active development and the interface is subject to changes. 25See code examples at http://dis.um.es/~alberto/hmatrix/static.html.
26 26
27-} 27-}
28 28
@@ -65,7 +65,7 @@ import Numeric.LinearAlgebra hiding (
65 row,col,vector,matrix,linspace,toRows,toColumns, 65 row,col,vector,matrix,linspace,toRows,toColumns,
66 (<\>),fromList,takeDiag,svd,eig,eigSH,eigSH', 66 (<\>),fromList,takeDiag,svd,eig,eigSH,eigSH',
67 eigenvalues,eigenvaluesSH,eigenvaluesSH',build, 67 eigenvalues,eigenvaluesSH,eigenvaluesSH',build,
68 qr,size,app,mul,dot,chol,range,R,C) 68 qr,size,dot,chol,range,R,C)
69import qualified Numeric.LinearAlgebra as LA 69import qualified Numeric.LinearAlgebra as LA
70import Data.Proxy(Proxy) 70import Data.Proxy(Proxy)
71import Internal.Static 71import Internal.Static