It is possible of course but your definition doesn't correspond to any operation in the usual vector algebra. By the way how do you define (*)? Isn't it 3D vector multiplication?
Krasimir On 11/29/06, Slavomir Kaslev <[EMAIL PROTECTED]> wrote:
You mean signum = normalize? What do you think of my comments here: > After giving some thought on signum, I got to the point, that signum > should be defined so that abs x * signum x = x holds. So it can be > defined as signum (Vec2 x y) = Vec 2 (signum x) (signum y). > It turns out that all the functions in Num, Floating, etc. classes can > be given meaningful definitions for vectors in this pattern. That is f > (Vecn x1 x2 .. xn) = Vecn (f x1) ... (f xn). And all expected laws > just work. One can think of that like the way SIMD processor works, it > does the same operations as on floats but on four floats at parallel. I think this is the way to define vector instances for Num, Floating, etc. For vector specific operations, such as normalize, len, dot, cross, etc. are declared in class Vector. -- Slavomir Kaslev
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