MySilicium

Bon à savoir.

Les operateurs booleens exitent sur 850/880, y a t'il pas une erreur dans ton tableau ?

Charo, je vais le rechercher.

Il y a bien de l'arithmétique booléenne, mais seulement avec 0 et -1 en résultat (-1 ! À chaque fois, je me fais avoir par le signe !) Pas de calcul sur 16 bits comme les Sharp...

pourtant si je frappe 14 OR 3 ça me retourne bien 15 sur le 880P !

Tu le connais mieux que moi... Je m'incline. Ça marche effectivement sur 16 bits (avec le signe) aussi !

Excuse moi pour l'anglais!

After examining of the quoted program library, and also reading of the forum, and playing with my Casio, I tried to make a list of the undocumented MODE commands. Most of them were already known, but some are not.

My tests showed that the matrices sizes are not limited to 9x9 as in the FXLibrary. Successful operations were done with 15x15 size for matrix inversion. We should take in mind that for not well defined matrices the inversion can give unreliable results.

Also I did some speed tests for the matrix operations. The "internal" matrix commands work roughly 5~6 times faster than BASIC written routines doing the same job (of course a difference of the algorithm plays a major role maybe). This was tested with random filled matrices 5x5.
Also I tested the calculator fx-5500LA with such 5x5 random matrices. It seems it is about twice faster than fx-795P. It is pity it is not programmable, and the fx-4500PA is obviously much slower than 5500LA - I decided not to make tests on it.

So, here is the list for now:

MODE 10
Standard truncation of the last digits after calculation. This mode is reset after turn-off/on of the device. Produces round results for integers. (thanks to Xerxes)

MODE 11
No truncation of the last digits. This mode is canceled after turn-off/on of the device. Should be used if we suspect error accumulation in default mode. (more explanation on Page11 of the thread)

MODE18(A,B)
Gets from address A the HEX value as B$. The syntax is with brackets!

MODE19(A,B)
Puts in address A the value B. The syntax is with brackets!

MODE 20,A
Evaluates as expression the variable $ and puts the result in variable A

MODE 21,A,B
Waits for keypress and returns its character in A$ and its DEC code in B

MODE 22 unknown
MODE 23 unknown
MODE 24 unknown
MODE 25 unknown

MODE 26,A
Converts the value of $ variable (assumed to be a BIN number) to DEC variable A

MODE 27,A
Converts the value of $ variable (assumed to be a HEX number) to DEC variable A

MODE 28,A
Converts the value of variable A (DEC number) to LONG BIN string in variable $

MODE 29,A
Converts the value of variable A (DEC number) to SHORT BIN string in variable $

MODE 90,A,B,F
Matrix operation: inverse of matrix A goes to matrix B. Return code F is for success. If the value of F = 0 then the inversion operation was unsuccessful.

MODE 91,A,,D
Matrix operation: determinant of matrix A goes to variable D. Note the double comma! I tried to put variable there but an Error occurs.

MODE 92,A,B
Matrix operation: contents of matrix A goes to matrix B

MODE 93,A
Matrix operation: contents of matrix A is transposed

MODE 94,A,B,C
Matrix operation: matrix A multiplied by matrix B goes to C. C variable should not be an array. The command will create it as an array.

MODE 95,A
Equal to INPUT,A (used in the FXLibrary with error code reading from the memory)

MODE 96,Oper,A,B,C
Boolean operation. Oper has the following options
0 is Twos complement,
1 is NOR,
2 is AND,
3 is OR,
4 is XOR

MODE 97,A,X,Y
Matrix operation: dimensions of matrix A go to X an Y

MODE 99,0 Breaks on Error (default behavior)
MODE 99,1 Continues execution on Error


I tried to find the address of the special $ variable. It seems to start from address 400.
The last entry line is at address 528. The FXLibrary is at address about 16400.
I also tried the "password erase" offered by Xerxes - it works. The password string is located at address 308.
The variables A-Z are stored backwards from the end of the memory: variable A is at address 16376. Variable B is 8 bits before at 16368 etc. Variable Z is at 16176.
The MEMO-databank seems to be at address 588.
The IN-OUT-CALC string seems to be after the program area - not at fixed address.

Well, another curious thing is that I managed to use 6 more characters from the code table (small D, small L, -1 index, thick /, b/, /c). I did this with using MODE19 to the address of a string variable. Maybe one day somebody will need to use those special chars. Functions like CHR$ and ASC can be substituted by short (1-row) programs, using MODE18 & MODE19.

Also the scan-codes of the special buttons for MODE21 are:


128 - SIN
129 - COS
130 - TAN
134 - LOG
135 - LN
136 - EXP
137 - SQR (square root sign)
152 - DEG(
182 - &H
183 - CUR (cubic root sign)
185 - HYP
205 - X^2
206 - X^3
207 - 10^x
219 - CLS
220 - ENG
222 - STAT
234 - MEMO
235 - EXT
239 - EXE
240 - INS
241 ->
242 <-
244 - STOP
245 - MODE
246 - ^R (return of the last entered line)
247 - Shift
251 - IN
252 - OUT
253 - CALC

The rest of the codes correspond to the letter or sign of the button depending on the char-code table.
I.e. for the key "G" we have 38, and of we are in EXT-mode the code will be 70 (for "g"). For the key "+" the code is 1.

Button BRK doesn't give code as the program execution breaks when it is pressed.

Pas de problème! In fact it's much easier for me.

The information wil make it into the table for sure.
And hi, welcome to our community!
Bienvenue dans le club!

Welcome ynopum,

Thanks for these informations.

Don't hesitate to post also a little introduction here
http://www.silicium.org/forum/viewforum.php?f=49

Regards,

Thanks for continuation of discovering the secrets of the MODE commands.


An example with different output:

10 MODE10
20 PRINT 2-SQR2*SQR2
30 MODE11
40 PRINT 2-SQR2*SQR2

gives 0 and 1e-11


By the way, besides the already known MODE110, I have found the currently unknown commands MODE200 and MODE201 on the VX-4.
The undocumented valid MODE command arguments on this pocket are 10,11,110,200,201.

Thanks! I didn't try square roots.

I did a small proggy for testing of MODE10 & MODE11:

The result for the expression ASN ACS ATN TAN COS SIN 9 doesn't change. Also some other expressions with trigonometric functions only.

The most interesting is that the test of Sergey Frolov gives better result on MODE 11, compared with the real answer 1.0000001^(2^27)

Thanks Ynopum, but don't forget what our Great Revered Moderator (!) asks, it' a little rule between the members, here. It's not an investigation, just for knowing you a little better :

May his extreme goodness bless you !

@Xerxes : have you some informations on the MODE commands on the VX-4 model (especially MODE200 & 201) ? Thanks !

@+

Bien, J'ai ecrit petite histoire des mes calculateurs.

CHR equivalent FUNCTION for FX-795P. The example uses the variable O$ which will contain the result string. The decimal value D must be present in the MODE19 function:


ASC equivalent function.

You can use another string variable to avoid changing of the source O$.

If O$ is not suitable, here is the list of the addresses of the other variables:


Those addresses are ONLY FOR FX-795P, they should be different on the older models because the memory size is different

The differences between MODE10/11 are not obvious sometimes:

The evaluation of "1/23" gives 0.04347826087 but "FRAC(1/23*1E3)" gives
MODE10: 0.47826087
MODE11: 0.4782608695

This is the reason for the higher accuracy of the Frolov test using MODE11.


Sorry kweeky, but I have no idea about MODE200/201. It's just the result of an idea of how to find all valid MODE arguments.