The modulo function for complex numbers should: 1. Generalize the module function for real numbers. Now it does not. 5|3 3 5|3 j. 0 _2
2. Be continuous if possible. Now it is not. 5|3.0001j0.0001 _1.9999j0.0001 5|3.0001j0.0000 3.0001 There is the necessary discontinuity 5|4.999 4.999 5|5.000 0 - Bo >________________________________ > Fra: Linda Alvord <lindaalv...@verizon.net> >Til: 'Programming forum' <programming@jsoftware.com> >Sendt: 12:00 søndag den 22. januar 2012 >Emne: Re: [Jprogramming] 5|0 1 2 3 4 is not equal to 5|0 1 2 3 4 j.0 > > NB. j. y ↔ 0j1 * y > NB. x j. y ↔ x + j. y > > f=: 13 :'5|y' > f >5 | ] > > f 4 >4 > 4 j. 0 >4 > f 4 j. 0 >_1 > >It seems to me that the code for j. fails to recognize that an entire array >of numbers has right arguments of 0 and it should then convert the array to >"real numbers". If it did that match would be correct. If match compares >numbers it must check that both are real or both are imaginary. > >Probably this is incredibly naïve, but those issues seems to be the problem. > >Linda > > >Original Message----- >From: programming-boun...@jsoftware.com >[mailto:programming-boun...@jsoftware.com] On Behalf Of David Mitchell >Sent: Sunday, January 22, 2012 4:42 AM >To: Programming forum >Subject: Re: [Jprogramming] 5|0 1 2 3 4 is not equal to 5|0 1 2 3 4 j.0 > >It also seems similar to this thread: > >http://jsoftware.com/pipermail/programming/2011-December/026261.html > > >On 1/22/2012 4:23, Ian Clark wrote: >> This has similarities to the issues discussed in: >> http://jsoftware.com/pipermail/programming/2011-July/023384.html >> >> On Sun, Jan 22, 2012 at 8:40 AM, Bo Jacoby<bojac...@yahoo.dk> wrote: >>> Equal arguments should give equal function values, but not here. >>> >>> a=.i.5 >>> b=.a j. 0 >>> f=. 5&| >>> a-:b >>> 1 >>> (f a)-:(f b) >>> 0 >>> >>> f a >>> 0 1 2 3 4 >>> f b >>> 0 1 2 _2 _1 >>> >>> -Bo >>> ---------------------------------------------------------------------- >>> For information about J forums see http://www.jsoftware.com/forums.htm >> ---------------------------------------------------------------------- >> For information about J forums see http://www.jsoftware.com/forums.htm >> >---------------------------------------------------------------------- >For information about J forums see http://www.jsoftware.com/forums.htm > >---------------------------------------------------------------------- >For information about J forums see http://www.jsoftware.com/forums.htm > > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
