HP Forum Archive 06

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HP32S/SII micro challenge Message #1 Posted by J-F Garnier on 29 Oct 2001, 11:33 a.m. I sometimes use my HP32S for simple calculations on complex numbers, thanks to the CMPLXxxx functions. However, I always regret the lack of CMPLXx<>y, CMPLXenter and CMPLXx^2. CMPLXx<>y can be easily done with RDN RDN (here, RDN means "R-Down-Arrow"). CMPLXx^2 could be done with CMPLXenter CMPLX*, if CMPLXenter was only existing. Are you able to find a simple sequence that simulate CMPLXenter? (I mean a sequence which duplicates the complex number in x,y to z,t) I just found a simple way after years of research (I'm hardly joking ...). So I'm curious to know if some of you are more clever than I was to find a solution. I will post my solution in a few days.

Re: HP32S/SII micro challenge Message #2 Posted by W. Bruce Maguire II on 29 Oct 2001, 1:02 p.m., in response to message #1 by J-F Garnier >Are you able to find a simple sequence that simulate CMPLXenter? (I mean a sequence which duplicates the complex number in x,y to z,t) OK, I'll start the ball rolling. I'm sure there are better ways, but I came up with this sequence without any thought of minimizing steps. So, consider this a starting point: KEYSTROKES: REGISTER CONTENTS: ----------- ------------------ <enter> x,x,y,z <enter> x,x,x,y - 0,x,y,y X<>Y x,0,y,y Rv (roll down) 0,y,y,x + y,y,x,x Rv y,x,x,y X<>Y x,y,x,y NOTE: I didn't actually try this---so I hope there aren't any mistakes! :-) Bruce.

Re: HP32S/SII micro challenge Message #3 Posted by Paul Kobayashi on 29 Oct 2001, 1:45 p.m., in response to message #1 by J-F Garnier > Are you able to find a simple sequence that simulate CMPLXenter? Is this the one? 0 1 CMPLX*

Re: HP32S/SII micro challenge Message #4 Posted by Luca de Alfaro on 29 Oct 2001, 8:04 p.m., in response to message #3 by Paul Kobayashi This is also simple, and it involves only ENTER, and stack manipulation. x y ? ? ENTER x x y ? Rv Rv Y ? x x ENTER y y ? x R^ x y y ? ENTER x x y y R^ y x x y x <-> Y x y x y So: ENTER Rv Rv ENTER R^ ENTER R^ X<->Y which in total is 8 steps. I think it's nice that it only uses stack manipulation commands (i.e. no arithmetic). A nicer sequence, that contains the minimum number of ENTER, is: ENTER R^ R^ X<->Y Rv ENTER Rv X<->Y which is also 8 steps. Can anyone do better, or prove that it cannot be done better, with only R^, Rv, CLX, ENTER, X<->Y? Luca

Re: HP32S/SII micro challenge Message #5 Posted by Rupert (Northern Italy, EU) on 30 Oct 2001, 5:15 p.m., in response to message #4 by Luca de Alfaro >Can anyone do better, or prove that it cannot be done >better, with only R^, Rv, CLX, ENTER, X<->Y? Try this: Enter Enter R^ Enter Rv X<>Y Just six steps. :) Regards.

Re: HP32S/SII micro challenge Message #6 Posted by Rupert (Northern Italy (EU) on 31 Oct 2001, 4:37 p.m., in response to message #4 by Luca de Alfaro >Can anyone do better, or prove that it cannot be done >better, with only R^, Rv, CLX, ENTER, X<->Y? Other than the previous, I found the following solutions too: Enter Enter CLx + R^ X<>Y Enter R^ CLx + R^ X<>Y I wasn't able to use less than six steps... IMHO, the HP15C handles complex numbers calculations better than the HP32SII. Regards.

Re: HP32S/SII micro challenge - my solution Message #7 Posted by J-F Garnier on 30 Oct 2001, 4:00 a.m., in response to message #3 by Paul Kobayashi Congratulation Paul! My solution was: 0 ENTER CMPLX+ I'm amazed how easily you found it ... Jean-Francois

Re: HP32S/SII micro challenge Message #8 Posted by Andre' Wilhelmus on 30 Oct 2001, 3:30 a.m., in response to message #1 by J-F Garnier CMPLXx^2: 0 ENTER 2 CMPLX y^x

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