empty hmatrix-base

1 files changed, 98 insertions, 0 deletions

diff --git a/packages/hmatrix/src/Numeric/Matrix.hs b/packages/hmatrix/src/Numeric/Matrix.hs
new file mode 100644
index 0000000..e285ff2
--- /dev/null
+++ b/packages/hmatrix/src/Numeric/Matrix.hs
@@ -0,0 +1,98 @@
+{-# LANGUAGE TypeFamilies #-}
+{-# LANGUAGE FlexibleContexts #-}
+{-# LANGUAGE FlexibleInstances #-}
+{-# LANGUAGE UndecidableInstances #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+
+-----------------------------------------------------------------------------
+-- |
+-- Module      :  Numeric.Matrix
+-- Copyright   :  (c) Alberto Ruiz 2010
+-- License     :  GPL-style
+--
+-- Maintainer  :  Alberto Ruiz <aruiz@um.es>
+-- Stability   :  provisional
+-- Portability :  portable
+--
+-- Provides instances of standard classes 'Show', 'Read', 'Eq',
+-- 'Num', 'Fractional', and 'Floating' for 'Matrix'.
+--
+-- In arithmetic operations one-component
+-- vectors and matrices automatically expand to match the dimensions of the other operand.
+
+-----------------------------------------------------------------------------
+
+module Numeric.Matrix (
+                      ) where
+
+-------------------------------------------------------------------
+
+import Numeric.Container
+import qualified Data.Monoid as M
+import Data.List(partition)
+
+-------------------------------------------------------------------
+
+instance Container Matrix a => Eq (Matrix a) where
+    (==) = equal
+
+instance (Container Matrix a, Num (Vector a)) => Num (Matrix a) where
+    (+) = liftMatrix2Auto (+)
+    (-) = liftMatrix2Auto (-)
+    negate = liftMatrix negate
+    (*) = liftMatrix2Auto (*)
+    signum = liftMatrix signum
+    abs = liftMatrix abs
+    fromInteger = (1><1) . return . fromInteger
+
+---------------------------------------------------
+
+instance (Container Vector a, Fractional (Vector a), Num (Matrix a)) => Fractional (Matrix a) where
+    fromRational n = (1><1) [fromRational n]
+    (/) = liftMatrix2Auto (/)
+
+---------------------------------------------------------
+
+instance (Floating a, Container Vector a, Floating (Vector a), Fractional (Matrix a)) => Floating (Matrix a) where
+    sin   = liftMatrix sin
+    cos   = liftMatrix cos
+    tan   = liftMatrix tan
+    asin  = liftMatrix asin
+    acos  = liftMatrix acos
+    atan  = liftMatrix atan
+    sinh  = liftMatrix sinh
+    cosh  = liftMatrix cosh
+    tanh  = liftMatrix tanh
+    asinh = liftMatrix asinh
+    acosh = liftMatrix acosh
+    atanh = liftMatrix atanh
+    exp   = liftMatrix exp
+    log   = liftMatrix log
+    (**)  = liftMatrix2Auto (**)
+    sqrt  = liftMatrix sqrt
+    pi    = (1><1) [pi]
+
+--------------------------------------------------------------------------------
+
+isScalar m = rows m == 1 && cols m == 1
+
+adaptScalarM f1 f2 f3 x y
+    | isScalar x = f1   (x @@>(0,0) ) y
+    | isScalar y = f3 x (y @@>(0,0) )
+    | otherwise = f2 x y
+
+instance (Container Vector t, Eq t, Num (Vector t), Product t) => M.Monoid (Matrix t)
+  where
+    mempty = 1
+    mappend = adaptScalarM scale mXm (flip scale)
+    
+    mconcat xs = work (partition isScalar xs)
+      where
+        work (ss,[]) = product ss
+        work (ss,ms) = scale' (product ss) (optimiseMult ms)
+        scale' x m
+            | isScalar x && x00 == 1 = m
+            | otherwise              = scale x00 m
+          where
+            x00 = x @@> (0,0)
+