Personally, I thinks it would be much more elegant to have a direct notation. It could be argued that the Ratio type could also be implemented without a special Ratio type, but where's the fun in that?
Consider: (* 3.4+7i 15i) vs (complex-multiply (construct-complex 3.4 7) (construct-complex 0 15)) It is a bit of effort and certainly non-trivial, but it's more of a large hill to climb rather than a mountain. Again, this is for my personal curiosity and may lead to nothing. Feel free to add suggestion to an implementation! Already, I've added two things to my implementation: 1.) using either i/I or j/J 2.) adding an "Imaginary" type for pure imaginary numbers ... as a performance improvement. Thanks all! -Travis On Jun 7, 10:32 am, Mark Engelberg <mark.engelb...@gmail.com> wrote: > Yes, but in (some versions of) Scheme, (sqrt -1) yields i. > > Representing complex numbers and just doing math between two complex > numbers is not the problem. Retrofitting Clojure math so that all > operations work on the entire numeric tower, allowing you to > seamlessly manipulate complex and non-complex numbers together, is > non-trivial. > > On Mon, Jun 7, 2010 at 12:09 AM, Steven Devijver > > > > <steven.devij...@gmail.com> wrote: > > For what it's worth, I found that working with complex numbers in > > clojure doesn't require specialist types or notation at all: > > > (defn complex-times [[a_re a_im] [b_re b_im]] [(- (* a_re b_re) (* > > a_im b_im)) (+ (* a_re b_im) (* a_im b_re))]) > > (defn complex-plus [[a_re a_im] [b_re b_im]] [(+ a_re b_re) (+ a_im > > b_im)]) > > (defn complex-minus [[a_re a_im] [b_re b_im]] [(- a_re b_re) (- a_im > > b_im)]) > > (defn complex-abs [[re im]] (Math/hypot re im)) > > > (prn (complex-abs (complex-plus [1.5 1] (complex-times [1 -2] [2 > > -1])))) > > > -- > > You received this message because you are subscribed to the Google > > Groups "Clojure" group. > > To post to this group, send email to clojure@googlegroups.com > > Note that posts from new members are moderated - please be patient with > > your first post. > > To unsubscribe from this group, send email to > > clojure+unsubscr...@googlegroups.com > > For more options, visit this group at > >http://groups.google.com/group/clojure?hl=en -- You received this message because you are subscribed to the Google Groups "Clojure" group. To post to this group, send email to clojure@googlegroups.com Note that posts from new members are moderated - please be patient with your first post. To unsubscribe from this group, send email to clojure+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/clojure?hl=en
