From ce4a3244139bc645bda4b563e6b2be7c7304e911 Mon Sep 17 00:00:00 2001
From: Alberto Ruiz <aruiz@um.es>
Date: Thu, 4 Feb 2010 09:14:12 +0000
Subject: added examples/HMatrixReal.hs

---
 examples/HMatrixReal.hs | 104 ++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 104 insertions(+)
 create mode 100644 examples/HMatrixReal.hs

(limited to 'examples')

diff --git a/examples/HMatrixReal.hs b/examples/HMatrixReal.hs
new file mode 100644
index 0000000..0edff10
--- /dev/null
+++ b/examples/HMatrixReal.hs
@@ -0,0 +1,104 @@
+
+-- Alternative interface and utilities for creation of real arrays, useful to work in interactive mode.
+
+module HMatrixReal(
+    module Numeric.LinearAlgebra,
+    (<>), (*>), (<*), (<\>), (\>),
+    vector,
+    eye,
+    zeros, ones,
+    diagl,
+    row,
+    col,
+    (#),(&), (//), blocks,
+    rand
+) where
+
+import Numeric.LinearAlgebra hiding ((<>), (<|>), (<->), (<\>), (.*), (*/))
+import System.Random(randomIO)
+
+infixl 7 <>
+-- | Matrix product ('multiply')
+(<>) :: Field t => Matrix t -> Matrix t -> Matrix t
+(<>) = multiply
+
+infixl 7 *>
+-- | matrix x vector
+(*>) :: Field t => Matrix t -> Vector t -> Vector t
+m *> v = flatten $ m <> (asColumn v)
+
+infixl 7 <*
+-- | vector x matrix
+(<*) :: Field t => Vector t -> Matrix t -> Vector t
+v <* m = flatten $ (asRow v) <> m
+
+
+-- | Least squares solution of a linear system for several right-hand sides, similar to the \\ operator of Matlab\/Octave. (\<\\\>) = 'linearSolveSVD'.
+(<\>) :: (Field a) => Matrix a -> Matrix a -> Matrix a
+infixl 7 <\>
+(<\>) = linearSolveSVD
+
+-- | Least squares solution of a linear system for a single right-hand side. See '(\<\\\>)'.
+(\>) :: (Field a) => Matrix a -> Vector a -> Vector a
+infixl 7 \>
+m \> v = flatten (m <\> reshape 1 v)
+
+-- | Pseudorandom matrix with uniform elements between 0 and 1.
+rand :: Int -- ^ rows
+     -> Int -- ^ columns
+     -> IO (Matrix Double)
+rand r c = do
+    seed <- randomIO
+    return (reshape c $ randomVector seed Uniform (r*c))
+
+-- | Real identity matrix.
+eye :: Int -> Matrix Double
+eye = ident
+
+-- | Create a real vector from a list.
+vector :: [Double] -> Vector Double
+vector = fromList
+
+-- | Create a real diagonal matrix from a list.
+diagl :: [Double] -> Matrix Double
+diagl = diag . vector
+
+-- | Create a matrix or zeros.
+zeros :: Int -- ^ rows
+      -> Int -- ^ columns
+      -> Matrix Double
+zeros r c = reshape c (constant 0 (r*c))
+
+-- | Create a matrix or ones.
+ones :: Int -- ^ rows
+     -> Int -- ^ columns
+     -> Matrix Double
+ones r c = reshape c (constant 1 (r*c))
+
+-- | Concatenation of real vectors.
+infixl 9 #
+(#) :: Vector Double -> Vector Double -> Vector Double
+a # b = join [a,b]
+
+-- | Horizontal concatenation of real matrices.
+infixl 8 &
+(&) :: Matrix Double -> Matrix Double -> Matrix Double
+a & b = fromBlocks [[a,b]]
+
+-- | Vertical concatenation of real matrices.
+infixl 7 //
+(//) :: Matrix Double -> Matrix Double -> Matrix Double
+a // b = fromBlocks [[a],[b]]
+
+-- | Real block matrix from a rectangular list of lists.
+blocks :: [[Matrix Double]] -> Matrix Double
+blocks = fromBlocks
+
+-- | A real matrix with a single row, create from a list of elements.
+row :: [Double] -> Matrix Double
+row = asRow . vector
+
+-- | A real matrix with a single column, created from a list of elements.
+col :: [Double] -> Matrix Double
+col = asColumn . vector
+
-- 
cgit v1.2.3