diff --git a/LICENSE b/LICENSE
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--- /dev/null
+++ b/LICENSE
@@ -0,0 +1,30 @@
+Copyright Andrew Martin (c) 2017
+
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+    * Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+    * Redistributions in binary form must reproduce the above
+      copyright notice, this list of conditions and the following
+      disclaimer in the documentation and/or other materials provided
+      with the distribution.
+
+    * Neither the name of Andrew Martin nor the names of other
+      contributors may be used to endorse or promote products derived
+      from this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
diff --git a/README.md b/README.md
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+++ b/README.md
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+# torsor
diff --git a/Setup.hs b/Setup.hs
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--- /dev/null
+++ b/Setup.hs
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+import Distribution.Simple
+main = defaultMain
diff --git a/src/Torsor.hs b/src/Torsor.hs
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--- /dev/null
+++ b/src/Torsor.hs
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+{-# LANGUAGE MultiParamTypeClasses #-}
+{-# LANGUAGE FunctionalDependencies #-}
+
+{- | The typeclasses provides in this module are equivalent
+     to three of the typeclasses from the @vector-space@
+     package. This package uses MPTCs with functional dependencies
+     instead of type families in order to improved error
+     messages.
+-}
+
+module Torsor
+  ( Additive(..)
+  , Torsor(..)
+  , Scaling(..)
+  ) where
+
+import Data.Int
+import Data.Word
+
+class Additive v where
+  zero :: v
+  invert :: v -> v
+  plus :: v -> v -> v
+  minus :: v -> v -> v
+
+class Additive v => Torsor p v | p -> v where
+  add :: v -> p -> p
+  difference :: p -> p -> v
+
+class (Additive v, Additive s) => Scaling v s | v -> s where
+  scale :: s -> v -> v
+
+instance Additive Int where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Int Int where
+  add = (+)
+  difference = (-)
+
+instance Scaling Int Int where
+  scale = (*)
+
+instance Additive Word where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Word Word where
+  add = (+)
+  difference = (-)
+
+instance Scaling Word Word where
+  scale = (*)
+
+instance Additive Double where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Double Double where
+  add = (+)
+  difference = (-)
+
+instance Scaling Double Double where
+  scale = (*)
+
+instance Additive Int64 where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Int64 Int64 where
+  add = (+)
+  difference = (-)
+
+instance Scaling Int64 Int64 where
+  scale = (*)
+
+instance Additive Word64 where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Word64 Word64 where
+  add = (+)
+  difference = (-)
+
+instance Scaling Word64 Word64 where
+  scale = (*)
+
+instance Additive Word32 where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Word32 Word32 where
+  add = (+)
+  difference = (-)
+
+instance Scaling Word32 Word32 where
+  scale = (*)
+
+instance Additive Word16 where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Word16 Word16 where
+  add = (+)
+  difference = (-)
+
+instance Scaling Word16 Word16 where
+  scale = (*)
+
+instance Additive Word8 where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Word8 Word8 where
+  add = (+)
+  difference = (-)
+
+instance Scaling Word8 Word8 where
+  scale = (*)
+
+instance Additive Int32 where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Int32 Int32 where
+  add = (+)
+  difference = (-)
+
+instance Scaling Int32 Int32 where
+  scale = (*)
+
+instance Additive Int16 where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Int16 Int16 where
+  add = (+)
+  difference = (-)
+
+instance Scaling Int16 Int16 where
+  scale = (*)
+
+instance Additive Int8 where
+  zero = 0
+  invert = negate
+  plus = (+)
+  minus = (-)
+
+instance Torsor Int8 Int8 where
+  add = (+)
+  difference = (-)
+
+instance Scaling Int8 Int8 where
+  scale = (*)
+
diff --git a/torsor.cabal b/torsor.cabal
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--- /dev/null
+++ b/torsor.cabal
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+name: torsor
+version: 0.1
+synopsis: Torsor Typeclass
+description: Torsor Typeclass
+homepage: https://github.com/andrewthad/torsor#readme
+license: BSD3
+license-file: LICENSE
+author: Andrew Martin
+maintainer: andrew.thaddeus@gmail.com
+copyright: 2017 Andrew Martin
+category: Web
+build-type: Simple
+extra-source-files: README.md
+cabal-version: >=1.10
+
+library
+  hs-source-dirs: src
+  exposed-modules: Torsor
+  build-depends: base >= 4.7 && < 5
+  default-language: Haskell2010
+
+source-repository head
+  type: git
+  location: https://github.com/andrewthad/torsor