[commit: ghc] master: docs(Data.Function): fix and augment `on` annotation (8b823f2)
git at git.haskell.org
git at git.haskell.org
Sat Apr 7 19:45:42 UTC 2018
Repository : ssh://git@git.haskell.org/ghc
On branch : master
Link : http://ghc.haskell.org/trac/ghc/changeset/8b823f270e53627ddca1a993c05f1ab556742d96/ghc
>---------------------------------------------------------------
commit 8b823f270e53627ddca1a993c05f1ab556742d96
Author: Gabriel Lebec <glebec at gmail.com>
Date: Sat Apr 7 12:57:36 2018 -0400
docs(Data.Function): fix and augment `on` annotation
>---------------------------------------------------------------
8b823f270e53627ddca1a993c05f1ab556742d96
libraries/base/Data/Function.hs | 14 +++++++-------
1 file changed, 7 insertions(+), 7 deletions(-)
diff --git a/libraries/base/Data/Function.hs b/libraries/base/Data/Function.hs
index ccc58c7..c54e81f 100644
--- a/libraries/base/Data/Function.hs
+++ b/libraries/base/Data/Function.hs
@@ -50,18 +50,21 @@ infixl 1 &
fix :: (a -> a) -> a
fix f = let x = f x in x
--- | @((==) \`on\` f) x y = f x == f y@
+-- | @'on' b u x y@ runs the binary function `b` /on/ the results of applying unary function `u` to two arguments `x` and `y`. From the opposite perspective, it transforms two inputs and combines the outputs.
+--
+-- @((+) \``on`\` f) x y = f x + f y@
--
-- Typical usage: @'Data.List.sortBy' ('compare' \`on\` 'fst')@.
-
+--
-- Algebraic properties:
--
--- * @(*) \`on\` 'id' = (*)@ (if @(*) ∉ {⊥, 'const' ⊥}@)
+-- * @(*) \`on\` 'id' = (*) -- (if (*) ∉ {⊥, 'const' ⊥})@
--
-- * @((*) \`on\` f) \`on\` g = (*) \`on\` (f . g)@
--
-- * @'flip' on f . 'flip' on g = 'flip' on (g . f)@
-
+on :: (b -> b -> c) -> (a -> b) -> a -> a -> c
+(.*.) `on` f = \x y -> f x .*. f y
-- Proofs (so that I don't have to edit the test-suite):
-- (*) `on` id
@@ -102,9 +105,6 @@ fix f = let x = f x in x
-- =
-- flip on (g . f)
-on :: (b -> b -> c) -> (a -> b) -> a -> a -> c
-(.*.) `on` f = \x y -> f x .*. f y
-
-- | '&' is a reverse application operator. This provides notational
-- convenience. Its precedence is one higher than that of the forward
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