From: Michael Orlitzky <michael@orlitzky.com>
Date: Fri, 7 Dec 2018 16:04:36 +0000 (-0500)
Subject: src/Integration/Simpson.hs: fix monomorphism restriction warnings.
X-Git-Url: https://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=e529722143189fe05de5a054784e22cc2a27a522;p=numerical-analysis.git

src/Integration/Simpson.hs: fix monomorphism restriction warnings.
---

diff --git a/src/Integration/Simpson.hs b/src/Integration/Simpson.hs
index f0f57f2..afa932b 100644
--- a/src/Integration/Simpson.hs
+++ b/src/Integration/Simpson.hs
@@ -1,4 +1,5 @@
 {-# LANGUAGE NoImplicitPrelude #-}
+{-# LANGUAGE ScopedTypeVariables #-}
 {-# LANGUAGE RebindableSyntax #-}
 
 module Integration.Simpson (
@@ -40,16 +41,16 @@ import qualified Algebra.ToRational as ToRational ( C )
 --   >>> simpson_1 f 0 1
 --   0.25
 --
-simpson_1 :: (RealField.C a, ToRational.C a, RealField.C b)
+simpson_1 :: forall a b. (RealField.C a, ToRational.C a, RealField.C b)
             => (a -> b) -- ^ The function @f@
             -> a       -- ^ The \"left\" endpoint, @a@
             -> a       -- ^ The \"right\" endpoint, @b@
             -> b
-simpson_1 f a b =
-  coefficient * ((f a) + 4*(f midpoint) + (f b))
+simpson_1 f x y =
+  coefficient * ((f x) + 4*(f midpoint) + (f y))
   where
-    coefficient = fromRational' $ (toRational (b - a)) / 6
-    midpoint = (a + b) / 2
+    coefficient = fromRational' $ (toRational (y - x)) / 6 :: b
+    midpoint = (x + y) / 2
 
 
 -- | Use the composite Simpson's rule to numerically integrate @f@