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Comp. science tools on CP 400

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Posts: 2
Joined: Fri Oct 06, 2017 10:27 am
Calculators: Casio Afx 2.0, Casio Classpad fx-cp400

Comp. science tools on CP 400

Postby ghanedan » Fri Oct 06, 2017 11:11 am

A reusable program to calculate Euler's totient.

I call this 'PHI function'. See my next post for the same algorithm implemented on a HP50g.

Tested on CP400. Once installed, it can also be called from Main.

Will add more progs on top of this for security and encryption related functions. :lolno:

Code: Select all
Lbl prompt
 
ClrText
'Input A,"Number ?","Euler's totient"
'Comment out if you want to test locally
'Otherwise takes the parameter directly as input

If (A≤0)
 Then
  Message "Only positive naturals pls !"
 Goto prompt
IfEnd

int(A)⇒B

2⇒ctr
B⇒R

While ( ctr^2 ≤ B )
 If (mod(B,ctr)=0)
  Then
   While (mod(B,ctr)=0)
    (B/ctr)⇒B
   WhileEnd
 R×(1-(1/ctr))⇒R
 IfEnd
 ctr+1⇒ctr
WhileEnd

If (B>1)
Then
 R×(1-(1/B))⇒R
IfEnd

NumToStr R,"Fix0",RS
StrJoin "Fast ∮ = ",RS,outp
Print outp

If (R=(A-1))
Then
 Print "The input was a prime"
IfEnd
Return R


Y Guney Hanedan
Last edited by ghanedan on Wed Oct 11, 2017 8:49 pm, edited 2 times in total.

Junior Member
User avatar
Posts: 2
Joined: Fri Oct 06, 2017 10:27 am
Calculators: Casio Afx 2.0, Casio Classpad fx-cp400

Re: Comp. science tools on CP 400

Postby ghanedan » Wed Oct 11, 2017 8:45 pm

Here the same function ( Euler's totient ) is implemented on an HP50g ( might also be compatible with earlier HPs but NOT with Prime ).

I must note that on initial tests Casio CP400 was a tad faster, and it takes a bit longer ( read twice ) to code in pure RPL. :shh:

\<< 'a1' STO

CASE 28 a1 TYPE \=/
THEN 'a1' PURGE "Wrong type. INT req" DOERR
END a1 0. \<=
THEN 'a1' PURGE "Only Positives" DOERR
END
END

2 a1 \-> ctr R
\<<
WHILE ctr 2 ^ a1 \<=
REPEAT
IF a1 ctr MOD 0 SAME
THEN
WHILE a1 ctr MOD 0 SAME
REPEAT a1 ctr / 'a1' STO
END R 1 1 ctr / - * 'R' STO
END 'ctr' INCR
END
IF a1 1 >
THEN R 1 1 a1 / - * 'R' STO
END R R \->NUM
IF a1 1 - R ==
THEN "The number was a prime !"
END
\>> 'a1' PURGE
\>>

Y Guney Hanedan

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