More Updates: HP 15C Collector's Edition and Swiss Micros DM42

Thanks to Museum of HP Calculators Forums:

HP 15C Collector's Edition (SAMBA software and the HP 15C Connectivity cable required)

*  Key bounce issue is addressed

*  Decimal display mode in HP 16C mode corrected

Links:

Forum Post:  https://www.hpmuseum.org/forum/thread-22078.html

BIN file download page:  https://hpcalcs.com/download/

SAM-BA Software:  https://www.microchip.com/en-us/development-tool/sam-ba-in-system-programmer#Software

Where to buy the required cable:

Calculator Store (Europe):  https://www.thecalculatorstore.com/

HP Supply (United States/Canada, per forum, available in August 2024):  https://hpofficesupply.com

Swiss Micros DM42 - v.3.23 DCMP 3.25

*  Software updated to match Free42 firmware 3.1.8

Info about Free42:  https://thomasokken.com/free42/

Swiss Micros Post:  https://forum.swissmicros.com/viewtopic.php?p=33058#p33058

Firmware Page:  https://technical.swissmicros.com/dm42/firmware/

Eddie

All original content copyright, © 2011-2024. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.

HP 15C: Transition Matrix Test and Taking a Square Matrix to an Integer Power

HP 15C:   Transition Matrix Test and Taking a Square Matrix to an Integer Power

Transition Matrix Test - Markov Chain

Let A be a square matrix of probabilities (entries from 0 to 1).   Is the square matrix suitable to be used in Markov Chain calculations?   It would qualify if for each row, the elements of that row have a sum to 1.  

The program:  

*  Tests whether Matrix A is a square matrix.  Non-square matrices are not transition matrices qualified for Markov Chains.   (lines 005 through 007)

*  Sum the elements of each row.

*  Tests whether sum of each row is 1. (LBL 2)

If (I) and (III) are met, then Matrix A is qualified to be used as a transition matrix for Markov Chain calculations.   This test returns a 1 for yes and 0 for no.

Store the contents and dimensions of Matrix A before running the program. 

HP 15C Program - Transition Matrix Test

Code:

001 : 42,21,11 : f LBL A

002 : 45,16,11 : RCL MATRIX A

003 : 36 : ENTER

004 : 36 : ENTER

005 : 45,23,11 : RCL DIM A

006 : 43,30, 6 :  g TEST 6  (x≠y)

007 : 22, 1 : GTO 1

008 : 44, 2 : STO 2

009 : 43,35 : g CLx

010 : 1 : 1

011 : 42,23,12 :  f DIM B

012 : 44,16,12 : STO MATRIX B

013 : 33 :  R↓

014 : 33 :  R↓

015 : 45,16,12 : RCL MATRIX B

016 : 42,26,13 : f RESULT C

017 : 20 : ×

018 : 42,16, 1 : f MATRIX 1

019 : 42,21, 2 : LBL 2

020 : 45, 2 : RCL 2

021 : 44, 0 : STO 0

022 : 45,13 : RCL C

023 : 1 : 1

024 : 43,30, 6 : g TEST 6 (x≠y)

025 : 22, 1 : GTO 1

026 : 42, 5, 2 : DSE 2

027 : 22, 2 : GTO 2

028 : 43,32 : RTN   (test passes)

029 : 42,21, 1 : f LBL 1  

030 : 43,35 : g CLx

031 : 43,32 : RTN  (test fails)

Notes:

RCL C instead of RCL MATRIX C is used because we want to recall the element, not the entire matrix.  The element that is recalled depends on the row (stored in R0) and column (stored in R1). 

HP 15C:  Square Matrix to a Positive Integer

Using a loop is required.  We are not able to use the x^2 or the y^x function with matrices, an Error 1 condition occurs.  

 A square matrix is stored in Matrix A.   Enter the positive integer power (n > 1) on the X stack before running the program.  

Code:  

032 : 42, 21, 11 : f LBL B

033:  1 :  1

034: 30 : -

035 : 44, 2 : STO 2

036 : 45,16,11 : RCL MATRIX A

037 : 44,16,12 : STO MATRIX B

038 : 42,21, 3 : f LBL 3

039 : 42,16,11 : f RESULT C

040 : 45,16,11 : RCL MATRIX A

041 : 45,16,12 : RCL MATRIX B

042 : 20 : ×

043 : 44,16,12 : STO MATRIX B

044 : 42, 5, 2 : f DSE 2

045: 22, 3 : GTO 3

046 : 45,16,13 : RCL MATRIX C

047: 42,16, 1 : f MATRIX 1

048 :43,32 : g RTN

Notes:  

MATRIX 1:  Set the row and column pointers to 1  (R0 = 1, R1 = 1)

Example

A = [ [ 0.3, 0.7, 0 ] [ 0.3, 0.3, 0.4 ] [ 0.2, 0.5, 0.3 ] ] 

GTO A R/S:   1  (yes, Matrix A is qualified for as a transition matrix)

If we insert a high enough power (as n → ∞), the matrix settles into a steady state, where each column will have the same value.

25 GTO B R/S:   C 3 x 3 

MATRIX 1

RCL C...

[ [ 0.2736, 0.4623, 0.2642 ] [ 0.2736, 0.4623, 0.2642 ] [ 0.2736, 0.4623, 0.2642 ] ]

Eddie

All original content copyright, © 2011-2023.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author. 

HP 15C: Vector Operations

HP 15C:   Vector Operations

Calculators covered:

* HP 15C

* HP 15C Limited Edition

* HP 15C Collector's Edition

* Apps, Swiss Micros DM 15

HP 15C:   Dot Product, Tensor Product, and Angle Between Vectors

Set vectors A and B as 3 x 1 vectors (3 rows, 1 column)

3 ENTER 1 dim A

3 ENTER 1 dim B

Dot Product  (LBL D)  

Dot product:  A ⋅ B = A^T B 

The result is a single number.

Code: 

001 : 42,21,14 : LBL D

002 : 45,16,11 : RCL MATRIX A

003 : 42,16, 4 : MATRIX 4

004 : 45, 16, 12 : RCL MATRIX B

005 : 42, 26, 13 : RESULT C

006 : 20 : ×

007 : 45,16,11 : RCL MATRIX A

008 : 42,16, 4 : MATRIX 4

009 : 45,13 : RCL C

010 : 43,32 : RTN

Tensor Product (LBL E)

Tensor product:  A ⊗ B = A B^T

The result is a 3 x 3 matrix

Code: 

011 : 42,21,15 : LBL E

012 : 45,16,11 : RCL MATRIX A

013 : 45,16,12 : RCL MATRIX B

014 : 42,16, 4 : MATRIX 4

015 : 42,26,13 : RESULT C

016 : 20 : ×

017 : 45,16,12 : RCL MATRIX B

018 : 41,16, 4 : MATRIX 4

019 : 42,16, 1 : MATRIX 1

020 : 45,16,13 : RCL MATRIX C

021 : 43, 32 : RTN

Angle Between Vectors (LBL 0)

θ = arccos( (A ⋅ B) ÷ (||A|| ||B||) )

Code:

022 : 42,21, 0 : LBL 0

023 : 32,14 : GSB D

024 : 45,16,11 : RCL MATRIX A

025 : 42,16, 8 : MATRIX 8

026 : 45,16,12 : RCL MATRIX B

027 : 42,16, 8 : MATRIX 8

028 : 20 : ×

029 : 10 : ÷

030 : 43,24 : COS^-1

031 : 43,32 : RTN

Notes:  

MATRIX 4:  Transposes a matrix, which it is stored in the original matrix slot.  

MATRIX 8:  The 2-norm of a matrix.   It is calculated by taking a square root of the sum of the square of each element.  √(Σ( A_r,c ^ 2,  r = 1 to n and c = 1 to m))

For the dot and tensor products, I transpose the appropriate matrix back to the 3 x 1 form after the calculation.

Example

A = [ [ 4 ], [ 5 ], [ -2 ] ]

B = [ [ -3 ], [ 9 ], [ 8 ] ]

Dot Product:  GTO D R/S

Result:  17

Tensor Product:   GTO E R/S

Result:

[ [ -12, 36, 32 ], [ -15, 45, 40 ], [ 6, -18, -16 ] ]

Angle Between Vectors:  GTO 0 R/S

Result:  78.2166°

Eddie

All original content copyright, © 2011-2023.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author. 

HP 15C Collector's Edition: Some Thoughts and Hidden Modes

HP 15C Collector's Edition:   Some Thoughts and Hidden Modes

On May 2, 2023, Moravia announced the return on the HP 15C programming scientific calculator.  An initial limited run  calculators were available that were delivered in July. Thankfully, another set of calculators will be available for order and delivery starting the end of September 2023.

Hopefully this will be true in future production runs, but in the initial run, the HP 15C came in a box, a Thank You card,  with a leather case and a printed manual.    I love the larger font and the clarity of the text of the Owner's Handbook.   The handbook is an extension of the original HP 15C Manual along with an introduction from Wlodek Mier-Jedrzejowicz and Gene Wright.  

You can download both the Manual and new edition of the Advanced Functions Handbook from the HP Calculator Literature website:

Manual:  https://literature.hpcalc.org/items/2258

Advanced Functions Handbook:  https://literature.hpcalc.org/items/2259

The compliment to Manual, the Advanced Functions Handbook goes into detail on several of the HP 15C's advanced features:  

Solving Equations:   The best ways for using the SOLVE command, and how the SOLVE feature finds roots of equations.  This section also includes a section of finding the derivative (approximate slope) of a function and a financial time-value-of-money program.

Integration:  The accuracy of the integral function and handling more difficult integral problems.  In general, the accuracy and the time of integration is tied to the fixed decimal settings.

Complex Numbers:  The internal workings of the complex mode (Flag 8), including solving equations and integrations.

Matrices:  LU Decomposition, constructing identity matrices, and least-squares calculations.

Programming:  No More Pause Bug

The PSE bug has been fixed!  We can use the pause command to heart's content and the display won't flash off.  

Back of the Calculator

The back of the HP 15C has a plate that has the following information:  statistics registers, some conversions, a table of error, test, and matrix codes, how the ISG (increment skip if greater than) and DSE (decrement skip if equal) commands work, and the stack effects on several two-result commands.

The Keyboard

The battery compartment, which contains the two CR2032 batteries needed to power the HP 15C is held by a small screw.  Thankfully, no special screwdriver is required, a small household or computer screwdriver should do the trick.

The keyboard, for me, is responsive.  The keys give a nice, quiet click when they are pressed.  I'm comfortable holding the calculator and letting my thumbs type on the keyboard efficiently.

Hidden Modes

Already, the HP 15C Collector's Edition has additional memory over the previous editions:

*  A maximum of 99 memory registers, 78 uncommitted registers at default setting

*  A maximum of 672 steps

We have some Easter Eggs on the HP 15C Collector's Edition.   There are two hidden modes on the HP 15C:

HP 15.2 Mode:  This mode ups the maximum of memory registers to 195, with 174 uncommitted registers at default setting.    Pressing [ g ] ( MEM ) at the beginning will show "19174 00-0", as there really isn't enough room to display the total amount of uncommitted registers.  I have my calculator in 15.2 mode and so far, this calculator works as well as the default HP 15 mode.  Switching back to 15 mode will preserve as much memory as allowed, excessive memory will be lost.  

HP 16 Mode:  This modes accesses a possible-beta version of the HP 16C calculator.   The HP 16C calculator was a popular computer programmer's calculator which emphasizes on bit manipulation, base conversions, and Boolean logic.   I worked a little bit on this mode, and there was a few problems when working in decimal integer mode.     More information on the HP 16C calculator here:  https://www.hpmuseum.org/hp16.htm

How do we switch the hidden modes on the Collector's Edition?

1.  With the calculator off: hold the [ g ], [ ENTER ], and [ ON ] keys.   This gets the calculator into test mode.

2.  Press [ 4 ].  Option 4 will not appear on the screen.

3.  Set your mode:

   * [ e^x ] for the original HP 15C Collector's Edition mode

   * [ 1/x ] for the expanded 15.2 mode  (not manufacturer supported)

   * [ 7 ] for the HP 16C mode (not manufacturer supported)

Caution:  The 15.2 and 16 modes are not manufactured supported.  Enter at your own risk.  For me, I have used the 15.2 mode and the calculator works fine.  The original mode still has plenty of memory.  

Discussion on the hidden modes starts about page 17 of this thread:

https://www.hpmuseum.org/forum/thread-19886-page-17.html

Final Thoughts

Welcome back, HP 15C!  Knock on wood the HP 15C once again becomes mainstream like it's long time financial cousin the HP 12C.

Need help with RPN (Reverse Polish Notation)?  Check out the RPN Programming tutorial series (which was done for the previous HP 15C Limited Edition) which starts here:  http://edspi31415.blogspot.com/2011/11/hp-15c-programming-tutorial-part-1.html

(Just keep in mind the pause bug that was present in the Limited Edition has been fixed in the Collector's Edition.)

Eddie 

All original content copyright, © 2011-2023.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author. 

Announcement: HP 15C Collector's Edition

 Announcement:  HP 15C Collector's Edition

The HP 15C Returns

Hewlett Packard and Moravia is bringing back the HP 15C Calculator with the HP 15C Collector's Edition, which is set to be delivered starting the summer of 2023.  

The HP 15C is a RPN (Reverse Polish Notation) programming scientific calculator, first released in in 1982 and has the following features:  

*  Matrices:  Store up to 5 matrices.  Operations include determinant, inverse, norm, and transpose.  

*  Complex Numbers:  The set of complex numbers includes powers, logarithms, and trigonometry.

*  Numerical integration

*  Solve:  Finding the roots of functions

*  Standard Scientific functions:  polar/rectangular conversions, trigonometry, powers, roots, logarithms, linear regression, fraction and integer parts, hyperbolic functions

*  Programming:  Keystroke with labels, comparison tests

The HP 15C Collector's Edition has the following improvements from the original and Limited Edition of the HP 15C:

*  There are now 99 memory registers, up from 67

*  There is now a memory capacity of 672 steps, up from 448

*  The new processor promises a faster speed 

*  The Collector's Edition comes with a printed manual, which can be downloaded from Calculator Store's website here:  https://www.thecalculatorstore.com/epages/eb9376.sf/en_US/?ObjectPath=/Shops/eb9376/Products/%22HP-15c%20%23INT%22

From browsing the PDF file of the manual, the manual looks nice and it's detailed. 

For details, credit, and discussion, click on Klass' original post is on the Museum of HP Calculators (MoHPC) here:  https://www.hpmuseum.org/forum/thread-19886.html

Pre-Orders

The HP 15C Collector's Edition is set to be delivered starting at the end of June 2023.   At this moment, Moravia Consulting, a licensee for HP Calculators, has two stores offering pre-sales:

Eduwinkel:  (Netherlands) (Price:  129,95 Euros as of 5/3/2023*)

https://www.eduwinkel.nl/hp-15c-collectors-edition-calculator.html

The Calculator Store:  (Spain) (Price: 129,99 Euros as of 5/3/2023*)

English:  

https://www.thecalculatorstore.com/epages/eb9376.sf/en_US/?ObjectPath=Categories

Spanish:  

https://www.thecalculatorstore.com/epages/eb9376.sf/es_ES/?ObjectPath=Categories

* Prices do not include delivery charges but does include value added tax (VAT).  Depending where the customer is from VAT may be subtracted from the price.  

Source:

Kuperus, Klaas.   "NEW: HP 15C Collectors Edition"  MoHPC (Museum of HP Calculators)   May 2, 2023.  https://www.hpmuseum.org/forum/thread-19886.html

I have pre-ordered a HP 15C Collector's Edition and can't wait to work with it.  

Disclaimer:  No compensation has been received for this post.  

All original content copyright, © 2011-2023.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.