X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FRealFunction.hs;h=37babf6b7fc351c1ac6621b2eaa4ce0e8962b056;hb=d3c559655599970d7e438701f6d780e49491c9d5;hp=14afb910e523a2ba611e7ef3d50317cbbf7ffdb4;hpb=40d8f23c7abd648e1e147c7457244c31dc9b20e4;p=spline3.git

diff --git a/src/RealFunction.hs b/src/RealFunction.hs
index 14afb91..37babf6 100644
--- a/src/RealFunction.hs
+++ b/src/RealFunction.hs
@@ -1,9 +1,15 @@
-{-# LANGUAGE TypeSynonymInstances #-}
+{-# OPTIONS_GHC -Wno-orphans #-}
+{-# LANGUAGE FlexibleInstances #-}
 
-module RealFunction
+module RealFunction (
+  RealFunction,
+  cmult,
+  fexp )
 where
 
-
+-- Presumably this is faster without a newtype wrapper, and that's why
+-- we're about to define a bunch of orphan instances below. Note the
+-- GHC pragma thingy at the top of this file to ignore those warnings.
 type RealFunction a = (a -> Double)
 
 
@@ -34,13 +40,38 @@ instance Num (RealFunction a) where
 
 -- | Takes a constant, and a function as arguments. Returns a new
 --   function representing the original function times the constant.
+--
+--   ==== __Examples__
+--
+--   >>> let square x = x**2
+--   >>> square 1
+--   1.0
+--   >>> square 2
+--   4.0
+--   >>> let f = cmult 2 square
+--   >>> f 1
+--   2.0
+--   >>> f 2
+--   8.0
+--
 cmult :: Double -> (RealFunction a) -> (RealFunction a)
 cmult coeff f = (*coeff) . f
 
 
--- | Takes a function f and an exponent n. Returns a new function,
---   f^n.
+-- | Takes a function @f@ and an exponent @n@. Returns a new function,
+--   @g@, defined by g(x) = (f(x))^n. This is /not/ @f@ composed
+--   with itself @n@ times.
+--
+--   ==== __Examples__
+--
+--   >>> let square x = x**2
+--   >>> square 2
+--   4.0
+--   >>> let f = fexp square 3
+--   >>> f 2
+--   64.0
+--
 fexp :: (RealFunction a) -> Int -> (RealFunction a)
 fexp f n
-     | n == 0 = (\_ -> 1)
+     | n == 0 = const 1
      | otherwise = \x -> (f x)^n