On 6 Jan 2005, at 01:37, Maur�cio wrote:
import Complex;

complex_root :: (Float, Float, Float) -> (Complex Float, Complex Float)
complex_root (a,b,c) = (x1,x2) where {
delta = b * b - 4 * a * c :: Float;
sqr_delta = if delta >= 0 then (sqrt delta) :+ 0 else 0 :+ (sqrt delta) :: (Complex Float);
x1 = (b + sqr_delta)/(2 * a);
x2 = (b - sqr_delta)/(2 * a);
}


Couldn't match `Float' against `Complex Float'
        Expected type: Float
        Inferred type: Complex Float
    In the second argument of `(+)', namely `sqr_delta'
    In the definition of `x1': x1 = (b + sqr_delta)

Can you help me finding what is wrong? Shouldn't "b" be converted to Complex Float and be summed to sqr_delta?


Haskell will not automatically convert b from Float to Complex Float. The arguments of (+) should have the same type.


One alternative is to use b :+ 0 instead of b. (and similarly for a).

Another approach is to define a 'cast' function like:

toComplex x = (fromRational.toRational) x :: Complex Float

and then you can use toComplex b instead of b :+ 0. that's more characters to type, though...

Note that sqr_delta isn't going to be defined as you expect, either. Since delta has type Float, sqrt delta has type Float. (And sqrt -1 :: Float is Not A Number). If you want to do it by hand this way, then you want:

sqr_delta = if delta >= 0 then (sqrt delta) :+ 0 else 0 :+ (sqrt (-delta)) :: (Complex Float);

If delta was itself already Complex, then sqrt would do the right thing automatically.


Jules

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