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Some 30b routines, revisited
Message #1 Posted by Harry Jacobson on 11 Oct 2011, 4:13 a.m.

In Some 30b Routines Jeff O presents 10 routines

Quote:
In the absence of a complete repurposing of the 30b, I decided to come up with a set of key reassignments and/or programs to make the 30b more easily useable (to me, at least) as a scientific calculator. I decided to implement the following functions in the 10 available program slots:
SIN-1
COS-1
TAN-1
Complex add
Complex subtract
Complex multiply
Complex divide
Complex Invert
Polar to Rectangular Conversion
Rectangular to Polar Conversion

Within the message thread program modifications were made so that all programs could have program labels and still fit in the 290 byte program memory of the 30b. Thomas Klemm contributed to the final set of programs.

I wondered if the programs could be shrunk further. Further shrinkage would have no practical purpose since there could be no more than 10 programs therefore no way to use the released program memory. Still, the exercise was enjoyable and successful. The shrunken programs revisited consume 272 bytes of 290 bytes of program memory.

I played with the 30b inverse trig functions sin-1, cos-1, and tan-1. I discovered whether or not the 2nd or final Input is pressed, that when followed by an arithmetic (+, -, X, /) or one-number (x^2, 1/x, e^x, etc.) function the answer is the same. (My calculator's SW version 4 5 2010 1.) The advantage to not pressing the 2nd or final Input is the name of the inverse trig function (sin-1, cos-1, tan-1) remains displayed. This eliminates the need for the 2nd message XXX-1 step, a saving of 18 bytes total. Also, I made COS-1 and TAN-1 callable routines and re-numbered labels.

Here are the ten programs, revisited. Programs 3, 4, and 9 are unchanged from the original message thread.

Prgm 0	
Program Description:	Arc Sine
bytes and checksum: 11.090
Step	function	comments
0	SH7	        assign to shift-hold 7
1	message SIN-1	Program label
2	Math	        execute SIN-1 function 
3	Input	        execute SIN-1 function 
4	Down	        execute SIN-1 function 
5	Stop	

Prgm 1 Program Description: Arc Cosine bytes and checksum: 14.118 Step function comments 0 SH8 assign to shift-hold 8 1 message COS-1 Program label 2 Lbl11 Program label for call from R->P routine 3 Math execute COS-1 function 4 Input execute COS-1 function 5 Up execute COS-1 function 6 Up execute COS-1 function 7 RTN Return for call

Prgm 2 Program Description: Arc Tangent bytes and checksum: 13.189 Step function comments 0 SH9 assign to shift-hold 9 1 message TAN-1 Program label 2 Lbl21 Program label for call from R->P routine 3 Math execute TAN-1 function 4 Input execute TAN-1 function 5 Up execute TAN-1 function 6 RTN Return for call

Prgm 3 Program Description: Add two rectangular form complex numbers bytes and checksum: 24.218 Step function comments 0 SH+ assign to shift-hold + 1 message CPLX+ Program label 2 ) Swap 3 ( Rv Roll down 4 + 5 ( Rv Roll down 6 + 7 ( Rv Roll down 8 ( Rv Roll down 9 ( Rv Roll down 10 message CPLX+ display CPLX+ upon completion 11 Stop

Prgm 4 Program Description: Subtract two rectangular form complex numbers bytes and checksum: 25.053 Step function comments 0 SH- assign to shift-hold - 1 message CPLX- Program label 2 ) Swap 3 ( Rv Roll down 4 - 5 ( Rv Roll down 6 ) Swap 7 - 8 ( Rv Roll down 9 ( Rv Roll down 10 ( Rv Roll down 11 message CPLX- display CPLX- upon completion 12 Stop

Prgm 5 Program Description: Multiply two rectangular form complex numbers bytes and checksum: 41.251 Step function comments 0 SH* assign to shift-hold x 1 message CPLX* Program label 2 Lbl 51 Program label for call from divide routine 3 STO 1 4 ( Rv Roll down 5 STO 2 6 ) Swap 7 STO * 1 8 * 9 ( Rv Roll down 10 STO * 2 11 ) Swap 12 ( Rv Roll down 13 * 14 + 15 RCL 1 16 RCL - 2 17 message CPLX* display CPLX* upon completion 18 RTN Return for Call

Prgm 6 Program Description: Divide two rectangular form complex numbers bytes and checksum: 20.194 Step function comments 0 SH/ assign to shift-hold / 1 message CPLX/ Program label 2 Call71 execute complex invert routine 3 Call51 execute complex multiply routine 4 message CPLX/ display CPLX/ upon completion 5 Stop

Prgm 7 Program Description: Invert a rectangular form complex number bytes and checksum: 47.204 Step function comments 0 NPV assign to the NPV key 1 message CPLX x-1 Program label 2 Lbl 71 Program label for call from divide routine 3 STO 1 4 ( Rv Roll down 5 ( Rv Roll down 6 ( Rv Roll down 7 STO 2 Store value that was at top of stack 8 ( Rv Roll down 9 STO * 1 10 ) Swap 11 +/- 12 Input 13 x^2 14 RCL + 1 15 / 16 ) Swap 17 Ans 18 / 19 RCL 2 20 ( Rv Roll down 21 message CPLX x-1 display CPLX x-1 upon completion 22 RTN Return for Call

Prgm 8 Program Description: Rectangular to Polar Conversion Bytes and checksum: 52.195 Step function comments 0 IRR assign to the IRR key 1 message R->P Program label 2 STO 1 store real component 3 x^2 square real component 4 ) Swap swap squared real component and imaginary component 5 STO 2 store imaginary component 6 x^2 square imaginary component 7 + add squared imaginary component 8 square root take square root to calculate magnitude 9 STO 3 store magnitude 10 Input duplicate magnitude to stack y since GF consumes stack x value 11 GF 82 branch to end if magnitude = 0 12 RCL + 1 add real component: r + x 13 Input duplicate r + x to stack y since GF consumes stack x value 14 GF 81 branch if magnitude + real component = 0 15 RCL 2 imaginary component: y 16 ) Swap swap y and r + x 17 / divide to calculate tangent of half-angle: y / (r + x) 18 Call21 execute TAN-1 function 19 Input input TAN-1 function 20 Gto 82 branch to end 21 Lbl 81 Routine to handle magnitude + real component = 0 part 22 Call11 execute COS-1 function to obtain 180 (or Pi) 23 Input input COS-1 function 24 Lbl 82 Label for branch in steps 11 and 20 25 2 enter two 26 * multiply half-angle by 2 to get angle 27 RCL 3 recall magnitude 28 message R->P display R->P upon completion 29 Stop

Prgm 9 Program Description: Polar to Rectangular Conversion bytes and checksum: 25.058 Step function comments 0 CashFl assign to the CashFl key 1 message P->R Program label 2 STO 1 store magnitude 3 ( Rv Roll down to preserve stack 4 Cos take cosine of angle 5 Ans recall the angle 6 Sin take sine of angle 7 RCL * 1 calculate imaginary component 8 ) Swap 9 RCL * 1 calculate real component 10 message P->R display P->R upon completion 11 Stop

Edited: 11 Oct 2011, 4:29 a.m.

      
Re: Some 30b routines, revisited
Message #2 Posted by Jeff O. on 11 Oct 2011, 12:12 p.m.,
in response to message #1 by Harry Jacobson

Hello Harry,
I did not exect to see that post brought up again :-) The main interest in the 30b nowadays is as a platform for wp34s.

As far as leaving out the INPUT, that does seem to work if your next action is some function. But if you want to key in a new value to operate on the result, you must remember to press INPUT first.

            
Re: Some 30b routines, revisited
Message #3 Posted by Harry Jacobson on 11 Oct 2011, 5:41 p.m.,
in response to message #2 by Jeff O.

Et tu Jeff?

Did you convert your 30b to a wp34s?

I do use the 30b TVM functions.

About INPUT, you'll notice I left them in program 8 after the call statements. No sweat when using the calculator having to INPUT for some calculations. Easy to remember.

It's curious there's no need to INPUT when followed by Roll Down, Swap, and +/-! The only operations I do which need INPUT are STO and the occasional entry of a new value which (to me) make them the exceptions.

                  
Re: Some 30b routines, revisited
Message #4 Posted by Miguel Toro on 11 Oct 2011, 6:42 p.m.,
in response to message #3 by Harry Jacobson

Hi Harry, These are nice programs. May I suggest to create an article, so they are not lost in the constant flow of posts in the forum?

Regards,

Miguel

                  
Re: Some 30b routines, revisited
Message #5 Posted by Jeff O. on 11 Oct 2011, 8:20 p.m.,
in response to message #3 by Harry Jacobson

Sorry, no betrayal was intended.

I have two 30b calculators - one is converted to wp34s, the other is to be converted, but as yet remains a 30b.


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