### Track changes to Num superclasses

parent 2df6e347
 ... ... @@ -54,12 +54,12 @@ instance (Num a,Ord a,Eq a,Show{-was:Text-} a) => Num (Interval a) where fromInteger = ivFromInteger instance (Num a,Ord a,Fractional a) => Fractional (Interval a) where instance (Show a,Num a,Ord a,Fractional a) => Fractional (Interval a) where (/) = ivDiv fromRational = ivFromRational -- instance (Fractional a,Ord a,Floating a) => - not this ? instance (RealFloat a) => instance (Show a,RealFloat a) => Floating (Interval a) where pi = Pt pi exp = ivExp ... ...
 ... ... @@ -41,8 +41,8 @@ extract n (x :+: ps) = x : extract (n-1) ps deriv:: Num a => Ps a -> Ps a integral:: Fractional a => Ps a -> Ps a compose:: Num a => Ps a -> Ps a -> Ps a revert:: Fractional a => Ps a -> Ps a compose:: (Eq a, Num a) => Ps a -> Ps a -> Ps a revert:: (Eq a, Fractional a) => Ps a -> Ps a toList:: Num a => Ps a -> [a] takePs:: Num a => Int -> Ps a -> [a] (.*):: Num a => a -> Ps a -> Ps a ... ... @@ -59,13 +59,13 @@ toList (f :+: fs) = f : (toList fs) takePs n fs = take n (toList fs) instance Num a => Eq (Ps a) where --(1) instance (Eq a, Num a) => Eq (Ps a) where --(1) Pz == Pz = True Pz == (f :+: fs) = f==0 && Pz==fs fs == Pz = Pz==fs (f :+: fs) == (g :+: gs) = f==g && fs==gs instance Num a => Show (Ps a) where --(2) instance (Show a, Num a) => Show (Ps a) where --(2) showsPrec p Pz = showsPrec p  showsPrec p fs = showsPrec p (toList fs) ... ... @@ -85,7 +85,7 @@ instance Num a => Num (Ps a) where fromInteger 0 = Pz fromInteger c = fromInteger c :+: Pz instance Fractional a => Fractional (Ps a) where instance (Eq a, Fractional a) => Fractional (Ps a) where recip fs = 1/fs Pz/Pz = error "power series 0/0" ... ... @@ -113,7 +113,7 @@ integral fs = 0 :+: (int1 fs 1) where --(6) int1 Pz _ = Pz int1 (f :+: fs) n = f/n :+: (int1 fs (n+1)) instance Fractional a => Floating (Ps a) where instance (Eq a, Fractional a) => Floating (Ps a) where sqrt Pz = Pz sqrt (0 :+: 0 :+: fs) = 0 :+: (sqrt fs) sqrt (1 :+: fs) = qs where ... ...
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