initial commit

.gitignore

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+*.aux
+cabal-dev
+.cabal-sandbox
+cabal.project.local
+cabal.config
+cabal.sandbox.config
+*.chi
+*.chs.h
+config/client_session_key.aes
+playground/
+dist*
+.DS_Store
+*.dyn_hi
+*.dyn_o
+*.hi
+*.hp
+.hpc
+.ghci
+.hsenv*
+*.o
+*.prof
+*.sqlite3
+untracked/
+uploads/
+static/combined/
+static/tmp/
+*.swp
+.virtualenv
+.stack-work/
+yesod-devel/
+tmp/
+config/client_session_key.aes
+playground/auth.txt
+**/*.dump-hi
+tags
+TAGS
+
+docs/db/unthreat
+out.html

LICENSE

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+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.

README.md

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+# torsor

Setup.hs

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+import Distribution.Simple
+main = defaultMain

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 = (*)
+

stack.yaml

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+# This file was automatically generated by 'stack init'
+#
+# Some commonly used options have been documented as comments in this file.
+# For advanced use and comprehensive documentation of the format, please see:
+# https://docs.haskellstack.org/en/stable/yaml_configuration/
+
+# Resolver to choose a 'specific' stackage snapshot or a compiler version.
+# A snapshot resolver dictates the compiler version and the set of packages
+# to be used for project dependencies. For example:
+#
+# resolver: lts-3.5
+# resolver: nightly-2015-09-21
+# resolver: ghc-7.10.2
+# resolver: ghcjs-0.1.0_ghc-7.10.2
+# resolver:
+#  name: custom-snapshot
+#  location: "./custom-snapshot.yaml"
+resolver: lts-9.10
+
+# User packages to be built.
+# Various formats can be used as shown in the example below.
+#
+# packages:
+# - some-directory
+# - https://example.com/foo/bar/baz-0.0.2.tar.gz
+# - location:
+#    git: https://github.com/commercialhaskell/stack.git
+#    commit: e7b331f14bcffb8367cd58fbfc8b40ec7642100a
+# - location: https://github.com/commercialhaskell/stack/commit/e7b331f14bcffb8367cd58fbfc8b40ec7642100a
+#   extra-dep: true
+#  subdirs:
+#  - auto-update
+#  - wai
+#
+# A package marked 'extra-dep: true' will only be built if demanded by a
+# non-dependency (i.e. a user package), and its test suites and benchmarks
+# will not be run. This is useful for tweaking upstream packages.
+packages:
+- .
+# Dependency packages to be pulled from upstream that are not in the resolver
+# (e.g., acme-missiles-0.3)
+extra-deps: []
+
+# Override default flag values for local packages and extra-deps
+flags: {}
+
+# Extra package databases containing global packages
+extra-package-dbs: []
+
+# Control whether we use the GHC we find on the path
+# system-ghc: true
+#
+# Require a specific version of stack, using version ranges
+# require-stack-version: -any # Default
+# require-stack-version: ">=1.5"
+#
+# Override the architecture used by stack, especially useful on Windows
+# arch: i386
+# arch: x86_64
+#
+# Extra directories used by stack for building
+# extra-include-dirs: [/path/to/dir]
+# extra-lib-dirs: [/path/to/dir]
+#
+# Allow a newer minor version of GHC than the snapshot specifies
+# compiler-check: newer-minor

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: [email protected]
+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