X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FMisc.hs;h=24fd5b756febd19bd512cf9a7b06682f2aba9f7d;hb=d86da7a71b498a24b544ded9ad7191707fd0a123;hp=4d8f3e7f10f81f2abdd7e0fd9379e9192bc4b897;hpb=92d61dc6ab8dc3e8c9e5b4c869134f1e8079013f;p=numerical-analysis.git diff --git a/src/Misc.hs b/src/Misc.hs index 4d8f3e7..24fd5b7 100644 --- a/src/Misc.hs +++ b/src/Misc.hs @@ -1,7 +1,13 @@ +{-# LANGUAGE RebindableSyntax #-} + -- | Stuff for which I'm too lazy to come up with a decent name. module Misc where +import NumericPrelude +import Algebra.Field +import Algebra.ToInteger + -- | Partition the interval [@a@, @b@] into @n@ subintervals, which we -- then return as a list of pairs. -- @@ -13,7 +19,7 @@ where -- >>> partition 4 (-1) 1 -- [(-1.0,-0.5),(-0.5,0.0),(0.0,0.5),(0.5,1.0)] -- -partition :: (RealFrac a, Integral b) +partition :: (Algebra.Field.C a, Algebra.ToInteger.C b, Enum b) => b -- ^ The number of subintervals to use, @n@ -> a -- ^ The \"left\" endpoint of the interval, @a@ -> a -- ^ The \"right\" endpoint of the interval, @b@ @@ -28,4 +34,4 @@ partition n a b let xi = a + k'*h, let xj = a + (k'+1)*h ] where - h = fromRational $ (toRational (b-a))/(toRational n) + h = (b-a)/(fromIntegral $ toInteger n)