35S Complex Number Extraction
10-10-2014, 01:34 AM
Post: #1
 Eddie W. Shore Senior Member Posts: 1,302 Joined: Dec 2013
35S Complex Number Extraction
From my latest blog entry at: http://edspi31415.blogspot.com/2014/10/w...umber.html

Here are three utilities you may find useful for the HP35S:

Extract the real part of a complex number:
The complex number is on the X stack.
A001 LBL A
A002 ENTER
A003 ABS
A004 x<>y
A005 ARG
A006 COS
A007 x
A008 RTN

Extract the imaginary part of a complex number:
The complex number is on the X stack.
B001 LBL B
B002 ENTER
B003 ABS
B004 x<>y
B005 ARG
B006 SIN
B007 x
B008 RTN

Polar to Rectangular Conversion:
Calculate a+bi, given:
* angle (argument) stored in X and,
* modulus (absolute value) Y:
C001 LBL C
C002 RCL X
C003 COS
C004 RCLx Y
C005 RCL X
C006 SIN
C007 RCLx Y
C008 i
C009 x
C010 +
C011 RTN

Question: Do you want me to post a link here every time I update my blog? I talk about HP calculators a lot (not always, but a majority of the time). Thank, Eddie
10-10-2014, 02:45 AM
Post: #2
 rprosperi Super Moderator Posts: 5,287 Joined: Dec 2013
RE: 35S Complex Number Extraction
(10-10-2014 01:34 AM)Eddie W. Shore Wrote:  From my latest blog entry at: http://edspi31415.blogspot.com/2014/10/w...umber.html

Question: Do you want me to post a link here every time I update my blog? I talk about HP calculators a lot (not always, but a majority of the time). Thank, Eddie

I say yes please Eddie! Your blog is always interesting, educational and fun. HP or not, please do post them!

--Bob Prosperi
10-10-2014, 03:20 AM
Post: #3
 Joe Horn Senior Member Posts: 1,847 Joined: Dec 2013
RE: 35S Complex Number Extraction
(10-10-2014 02:45 AM)rprosperi Wrote:
(10-10-2014 01:34 AM)Eddie W. Shore Wrote:  Question: Do you want me to post a link here every time I update my blog?
I say yes please Eddie! Your blog is always interesting, educational and fun. HP or not, please do post them!

1 +

<0|ɸ|0>
-Joe-
10-10-2014, 04:10 AM
Post: #4
 Thomas Klemm Senior Member Posts: 1,686 Joined: Dec 2013
RE: 35S Complex Number Extraction
You could use LAST X:
Code:
A001 LBL A A002 ABS A003 LAST X A004 ARG A005 COS A006 x A007 RTN

Cheers
Thomas
10-10-2014, 06:59 AM
Post: #5
 Marcus von Cube Senior Member Posts: 760 Joined: Dec 2013
RE: 35S Complex Number Extraction
(10-10-2014 01:34 AM)Eddie W. Shore Wrote:  Question: Do you want me to post a link here every time I update my blog? I talk about HP calculators a lot (not always, but a majority of the time). Thank, Eddie

Marcus von Cube
Wehrheim, Germany
http://www.mvcsys.de
http://wp34s.sf.net
http://mvcsys.de/doc/basic-compare.html
10-10-2014, 07:33 PM
Post: #6
 Dieter Senior Member Posts: 2,397 Joined: Dec 2013
RE: 35S Complex Number Extraction
(10-10-2014 01:34 AM)Eddie W. Shore Wrote:  Extract the real part of a complex number:
The complex number is on the X stack.

A001 LBL A
A002 ENTER
A003 ABS
A004 x<>y
A005 ARG
A006 COS
A007 x
A008 RTN

Extract the imaginary part of a complex number:
The complex number is on the X stack.

B001 LBL B
B002 ENTER
B003 ABS
B004 x<>y
B005 ARG
B006 SIN
B007 x
B008 RTN

In this case I would prefer an equation. Either stored in the equation list or within a program. Which has the additional advantage of requiring just one stack register. And the original complex number is even preserved in Y.

ABS(REGX)*COS(ARG(REGX))

ABS(REGX)*SIN(ARG(REGX))

But there still is one main problem: the above method is quite straightforward, but its accuracy can be improved. Simply try 1+pi·i – the decomposed results show errors in the last digit:Re=0,999999999997, Im=3,1415926536).

Does someone know of an improved method?

Dieter
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