product (empty) → 0.1.0.0

raw patch · 5 files changed

+83/−0 lines, 5 filesdep +basedep +categorysetup-changed

Dependencies added: base, category

Files

• Control/Category/Product.hs +19/−0
• LICENSE +30/−0
• Prelude.hs +3/−0
• Setup.hs +2/−0
• product.cabal +29/−0

@@ -0,0 +1,19 @@+module Control.Category.Product ((:×:) (..)) where++import Control.Category+import Control.Category.Groupoid+import Data.Type.Equality++data ((s :: αₛ -> αₛ -> *) :×: (t :: αₜ -> αₜ -> *)) :: (αₛ, αₜ) -> (αₛ, αₜ) -> * where+    (:×:) :: s aₛ bₛ -> t aₜ bₜ -> (s :×: t) '(aₛ, aₜ) '(bₛ, bₜ)++instance (Category s, Category t) => Category (s :×: t) where+    id :: ∀ a . (s :×: t) a a+    id = pair `gcastWith` (id :×: id) where pair = pair :: a :~: '(Fst a, Snd a)+    (fₛ :×: fₜ) . (gₛ :×: gₜ) = (fₛ . gₛ) :×: (fₜ . gₜ)++type family Fst a where Fst '(a, b) = a+type family Snd a where Snd '(a, b) = b++instance (Groupoid s, Groupoid t) => Groupoid (s :×: t) where+    invert (f :×: g) = invert f :×: invert g

@@ -0,0 +1,30 @@+Copyright (c) 2017, M Farkas-Dyck++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 M Farkas-Dyck 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.

@@ -0,0 +1,3 @@+module Prelude (module Control.Category) where++import Control.Category

@@ -0,0 +1,2 @@+import Distribution.Simple+main = defaultMain

@@ -0,0 +1,29 @@+name:                product+version:             0.1.0.0+synopsis:            Product category+-- description:         +license:             BSD3+license-file:        LICENSE+author:              M Farkas-Dyck+maintainer:          m.farkasdyck@gmail.com+-- copyright:           +category:            Math+build-type:          Simple+cabal-version:       >=1.10++library+  exposed-modules:     Control.Category.Product+  other-modules:       Prelude+  -- other-extensions:    +  build-depends:       base >=4.10 && <5+                     , category+  -- hs-source-dirs:      +  default-language:    Haskell2010+  default-extensions:  UnicodeSyntax+                     , TypeOperators+                     , ScopedTypeVariables+                     , InstanceSigs+                     , PolyKinds+                     , DataKinds+                     , TypeFamilies+                     , GADTs