fix linspace, expose udot, complex static, wip

1 files changed, 80 insertions, 0 deletions

diff --git a/packages/base/src/Numeric/LinearAlgebra/Complex.hs b/packages/base/src/Numeric/LinearAlgebra/Complex.hs
new file mode 100644
index 0000000..17bc397
--- /dev/null
+++ b/packages/base/src/Numeric/LinearAlgebra/Complex.hs
@@ -0,0 +1,80 @@
+{-# LANGUAGE DataKinds #-}
+{-# LANGUAGE KindSignatures #-}
+{-# LANGUAGE GeneralizedNewtypeDeriving #-}
+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE FunctionalDependencies #-}
+{-# LANGUAGE FlexibleContexts #-}
+{-# LANGUAGE ScopedTypeVariables #-}
+{-# LANGUAGE EmptyDataDecls #-}
+{-# LANGUAGE Rank2Types #-}
+{-# LANGUAGE FlexibleInstances #-}
+{-# LANGUAGE TypeOperators #-}
+{-# LANGUAGE ViewPatterns #-}
+{-# LANGUAGE GADTs #-}
+
+
+{- |
+Module      :  Numeric.LinearAlgebra.Complex
+Copyright   :  (c) Alberto Ruiz 2006-14
+License     :  BSD3
+Stability   :  experimental
+
+-}
+
+module Numeric.LinearAlgebra.Complex(
+    C,
+    vec2, vec3, vec4, (&), (#),
+    vect,
+    R
+) where
+
+import GHC.TypeLits
+import Numeric.HMatrix hiding (
+    (<>),(#>),(<·>),Konst(..),diag, disp,(¦),(——),row,col,vect,mat,linspace)
+import qualified Numeric.HMatrix as LA
+import Data.Proxy(Proxy)
+import Numeric.LinearAlgebra.Static
+
+
+
+instance forall n . KnownNat n => Show (C n)
+  where
+    show (ud1 -> v)
+      | size v == 1 = "("++show (v!0)++" :: C "++show d++")"
+      | otherwise   = "(vect"++ drop 8 (show v)++" :: C "++show d++")"
+      where
+        d = fromIntegral . natVal $ (undefined :: Proxy n) :: Int
+
+
+ud1 :: C n -> Vector ℂ
+ud1 (C (Dim v)) = v
+
+mkC :: Vector ℂ -> C n
+mkC = C . Dim
+
+
+infixl 4 &
+(&) :: forall n . KnownNat n
+    => C n -> ℂ -> C (n+1)
+u & x = u # (mkC (LA.scalar x) :: C 1)
+
+infixl 4 #
+(#) :: forall n m . (KnownNat n, KnownNat m)
+    => C n -> C m -> C (n+m)
+(C u) # (C v) = C (vconcat u v)
+
+
+
+vec2 :: ℂ -> ℂ -> C 2
+vec2 a b = C (gvec2 a b)
+
+vec3 :: ℂ -> ℂ -> ℂ -> C 3
+vec3 a b c = C (gvec3 a b c)
+
+
+vec4 :: ℂ -> ℂ -> ℂ -> ℂ -> C 4
+vec4 a b c d = C (gvec4 a b c d)
+
+vect :: forall n . KnownNat n => [ℂ] -> C n
+vect xs = C (gvect "C" xs)
+