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diff --git a/compiler/vectorise/Vectorise/Vect.hs b/compiler/vectorise/Vectorise/Vect.hs
new file mode 100644
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+++ b/compiler/vectorise/Vectorise/Vect.hs
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+
+-- | Simple vectorised constructors and projections.
+module Vectorise.Vect (
+	Vect, VVar, VExpr, VBind,
+
+	vectorised,
+	lifted,
+	mapVect,
+
+	vVarType,
+	vNonRec,
+	vRec,
+	vVar,
+	vType,
+	vNote,
+	vLet,
+	vLams,
+	vLamsWithoutLC,
+	vVarApps,
+	vCaseDEFAULT
+) where
+import CoreSyn
+import Type           ( Type )
+import Var
+
+-- | Contains the vectorised and lifted versions of some thing.
+type Vect a = (a,a)
+type VVar   = Vect Var
+type VExpr  = Vect CoreExpr
+type VBind  = Vect CoreBind
+
+
+-- | Get the vectorised version of a thing.
+vectorised :: Vect a -> a
+vectorised = fst
+
+
+-- | Get the lifted version of a thing.
+lifted :: Vect a -> a
+lifted = snd
+
+
+-- | Apply some function to both the vectorised and lifted versions of a thing.
+mapVect :: (a -> b) -> Vect a -> Vect b
+mapVect f (x,y) = (f x, f y)
+
+
+-- | Combine vectorised and lifted versions of two things componentwise.
+zipWithVect :: (a -> b -> c) -> Vect a -> Vect b -> Vect c
+zipWithVect f (x1,y1) (x2,y2) = (f x1 x2, f y1 y2)
+
+
+-- | Get the type of a vectorised variable.
+vVarType :: VVar -> Type
+vVarType = varType . vectorised
+
+
+-- | Wrap a vectorised variable as a vectorised expression.
+vVar :: VVar -> VExpr
+vVar = mapVect Var
+
+
+-- | Wrap a vectorised type as a vectorised expression.
+vType :: Type -> VExpr
+vType ty = (Type ty, Type ty)
+
+
+-- | Make a vectorised note.
+vNote :: Note -> VExpr -> VExpr
+vNote = mapVect . Note
+
+
+-- | Make a vectorised non-recursive binding.
+vNonRec :: VVar -> VExpr -> VBind
+vNonRec = zipWithVect NonRec
+
+
+-- | Make a vectorised recursive binding.
+vRec :: [VVar] -> [VExpr] -> VBind
+vRec vs es = (Rec (zip vvs ves), Rec (zip lvs les))
+  where
+    (vvs, lvs) = unzip vs
+    (ves, les) = unzip es
+
+
+-- | Make a vectorised let expresion.
+vLet :: VBind -> VExpr -> VExpr
+vLet = zipWithVect Let
+
+
+-- | Make a vectorised lambda abstraction.
+--   The lifted version also binds the lifting context.
+vLams	:: Var		-- ^ Var bound to the lifting context.
+	-> [VVar]	-- ^ Parameter vars for the abstraction.
+	-> VExpr	-- ^ Body of the abstraction.
+	-> VExpr
+
+vLams lc vs (ve, le) 
+  = (mkLams vvs ve, mkLams (lc:lvs) le)
+  where
+    (vvs,lvs) = unzip vs
+
+
+-- | Like `vLams` but the lifted version doesn't bind the lifting context.
+vLamsWithoutLC :: [VVar] -> VExpr -> VExpr
+vLamsWithoutLC vvs (ve,le) 
+  = (mkLams vs ve, mkLams ls le)
+  where
+    (vs,ls) = unzip vvs
+
+
+-- | Apply some argument variables to an expression.
+--   The lifted version is also applied to the variable of the lifting context.
+vVarApps :: Var -> VExpr -> [VVar] -> VExpr
+vVarApps lc (ve, le) vvs 
+  = (ve `mkVarApps` vs, le `mkVarApps` (lc : ls))
+  where
+    (vs,ls) = unzip vvs 
+
+
+vCaseDEFAULT
+	:: VExpr	-- scrutiniy
+	-> VVar		-- bnder
+	-> Type		-- type of vectorised version
+	-> Type		-- type of lifted version
+	-> VExpr	-- body of alternative.
+	-> VExpr
+
+vCaseDEFAULT (vscrut, lscrut) (vbndr, lbndr) vty lty (vbody, lbody)
+  = (Case vscrut vbndr vty (mkDEFAULT vbody),
+     Case lscrut lbndr lty (mkDEFAULT lbody))
+  where
+    mkDEFAULT e = [(DEFAULT, [], e)]
+