Fix compiler warnings and doctests.

[numerical-analysis.git] / src / Linear / Matrix.hs

diff --git a/src/Linear/Matrix.hs b/src/Linear/Matrix.hs
index ef0e9b6ff3ccba65c310b81126ea915d543e0411..4f2e845da6b97380b703441c1fc6963c568cb943 100644 (file)
--- a/src/Linear/Matrix.hs
+++ b/src/Linear/Matrix.hs
@@ -16,20 +16,16 @@ import Data.Vector.Fixed (
   Vector
   )
 import qualified Data.Vector.Fixed as V (
-  Fun(..),
   N1,
   and,
-  eq,
-  foldl,
   fromList,
   length,
   map,
-  maximum,
   replicate,
   toList,
   zipWith
   )
-import Data.Vector.Fixed.Internal (Arity, arity, S, Dim)
+import Data.Vector.Fixed.Internal (Arity, arity, S)
 import Linear.Vector
 import Normed
 
@@ -37,13 +33,9 @@ import NumericPrelude hiding ((*), abs)
 import qualified NumericPrelude as NP ((*))
 import qualified Algebra.Algebraic as Algebraic
 import Algebra.Algebraic (root)
-import qualified Algebra.Absolute as Absolute
 import qualified Algebra.Additive as Additive
 import qualified Algebra.Ring as Ring
-import Algebra.Absolute (abs)
-import qualified Algebra.Field as Field
 import qualified Algebra.Module as Module
-import qualified Algebra.RealField as RealField
 import qualified Algebra.RealRing as RealRing
 import qualified Algebra.ToRational as ToRational
 import qualified Algebra.Transcendental as Transcendental
@@ -294,7 +286,7 @@ instance (Ring.C a,
          => Ring.C (Mat v w a) where
   -- The first * is ring multiplication, the second is matrix
   -- multiplication.
-  m1 * m2 = m1 * m1
+  m1 * m2 = m1 * m2
 
 
 instance (Ring.C a,
@@ -359,13 +351,13 @@ instance (Algebraic.C a,
 --
 --   >>> import Roots.Simple
 --   >>> let h = 0.5 :: Double
---   >>> let g1 (Mat (D2 (D1 x) (D1 y))) = 1.0 + h*exp(-(x^2))/(1.0 + y^2)
---   >>> let g2 (Mat (D2 (D1 x) (D1 y))) = 0.5 + h*atan(x^2 + y^2)
+--   >>> let g1 (Mat (D2 (D1 x) (D1 y))) = 1.0 + h NP.* exp(-(x^2))/(1.0 + y^2)
+--   >>> let g2 (Mat (D2 (D1 x) (D1 y))) = 0.5 + h NP.* atan(x^2 + y^2)
 --   >>> let g u = vec2d ((g1 u), (g2 u))
 --   >>> let u0 = vec2d (1.0, 1.0)
 --   >>> let eps = 1/(10^9)
 --   >>> fixed_point g eps u0
---   (1.0728549599342185,1.0820591495686167)
+--   ((1.0728549599342185),(1.0820591495686167))
 --
 vec2d :: (a,a) -> Mat D2 D1 a
 vec2d (x,y) = Mat (D2 (D1 x) (D1 y))