On Fri, 7 Apr 2006, Mathieu Bouchard wrote:
On Fri, 7 Apr 2006, Mathieu Bouchard wrote:
no, the case when imaginaries cancel happens only when you multiply a number by its own conjugate, and then it gives the square of the magnitude: (x + ix')(y - iy') = xy + xiy' + ix'y - ix'iy' = (xy + x'y') + (xy' + x'y)i
That and the ordinary complex product should be abstractions, but Miller doesn't seem to use abstractions much in his patches (see his FFT tutorials...), so the two kinds of complex products are copypasted all over the place instead. Four [*~], one [+~], one [-~], and eight more wires than using an abstr. Brilliant.
D'OH, typo:
(x + ix')(y - iy') = xy - xiy' + ix'y - ix'iy' = (xy + x'y') + (x'y - xy')i
_ _ __ ___ _____ ________ _____________ _____________________ ... | Mathieu Bouchard - tél:+1.514.383.3801 - http://artengine.ca/matju | Freelance Digital Arts Engineer, Montréal QC Canada