Prime Number Program In Tcl

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Example 1. 2 2 2 3, so its prime decomposition is 2, 2, 3. Task. Write a function which returns an array or collection which contains the prime decomposition of a given number   ndisplaystyle n   greater than   1. If your language does not have an is. Prime like function available. If you would like to test code from this task, you may use code from trial division or the Sieve of Eratosthenes. Note The program must not be limited by the word size of your computer or some other artificial limit it should work for any number regardless of size ignoring the physical limits of RAM etc. Related tasks. For maximum compatibility, this program uses only the basic instruction set. PRIMEDE CSECT USING PRIMEDE,R1. B 8. 0R1. 5 skip savearea. DC 1. 7F0 savearea. DC CL8PRIMEDESTM R1. R1. 2,1. 2R1. 3ST R1. R1. 5ST R1. 5,8R1. LR R1. 3,R1. 5 end prolog. LA R2,0. LA R3,1. LA R4,1. 02. 4MR R2,R4. Learning Korean Language Pdf. ST R3,N n1. LA R5,WBUFFERLA R6,0. L R1,N n. XDECO R1,0R5LA R5,1. R5MVC 03,R5,C  LA R5,3R5LA R0,2. ST R0,I i2. WHILE1 EQU do whileilt n2L R2,NSRA R2,1. L R4,ICR R4,R2 ilt n2. BH EWHILE1. WHILE2 EQU do whileni0L R3,NLA R2,0. D R2,ILTR R2,R2 ni0. BNZ EWHILE2. ST R3,N nni. ST R3,M mn. L R1,I i. XDECO R1,WDECOMVC 05,R5,WDECO7. LA R5,5R5MVI OK,X0. B WHILE2. EWHILE2 EQU R4,ICH R4,H2 if i2 then. BNE NE2. LA R0,3. ST R0,I i3. B EIFNE2. NE2 L R2,I else. LA R2,2R2ST R2,I ii2. EIFNE2 B WHILE1 EWHILE1 EQU LI OK,X0. BE NOTPRIMEMVC 07,R5,CprimeLA R5,7R5B EPRIMENOTPRIME L R1,M m. XDECO R1,WDECOMVC 05,R5,WDECO7. EPRIME XPRNT WBUFFER,8. L R1. 3,40,R1. LM R1. R1. 2,1. R1. 3XR R1. R1. BR R1. 4N DS FI DS FM DS FOK DC X0. WBUFFER DC CL8. WDECO DS CL1. YREGS END PRIMEDE 1. ZMLAROSETTA definitionpubliccreate public. TYPE N LENGTH6. TYPETABLE OF enumber. FACTORSimportingvalueNtype ENUMBERexportingvalueORETtype LISTOFENUMBER. ENDCLASS. CLASS ZMLAROSETTA IMPLEMENTATION. SIGNATURE Static Public Method ZMLAROSETTA FACTORS N TYPE ENUMBER lt ORET TYPE LISTOFENUMBER lt SIGNATURE method FACTORS. CLEAR oret. WHILE n mod. APPEND2to oret. ENDWHILE. DATA lim type enumber,i type enumber. WHILE i lt lim. WHILE n mod i 0. APPEND i to oret. ENDWHILE. i i 2. ENDWHILE. IF n 1. APPEND n to oret. ENDIF. endmethod. ENDCLASS. include book arithmetic 3top dir systemdefun prime factors r n ideclare xargs mode programcondorzp nzp n izp ilt i 2lt n 2list nmod n i0cons i prime factors r floor n i2t prime factors r n 1 idefun prime factors ndeclare xargs mode programprime factors r n 2The solution is generic. The package PrimeNumbers is instantiated by a type that supports necessary operations, mod,. The constants 0, 1, 2 are parameters too, because the type might have no literals. The same package is used for Almost primeAda, SemiprimeAda, Count in factorsAda, Primality by Trial DivisionAda, Sequence of primes by Trial DivisionAda, and UlamspiralforprimesAda. This is the specification of the generic package PrimeNumbers. Number isprivate Zero  Number One   Number Two   Number withfunctionX, Y  Numberreturn Number is lt withfunctionX, Y  Numberreturn Number is lt withfunctionX, Y  Numberreturn Number is lt withfunctionmodX, Y  Numberreturn Number is lt withfunction X, Y  Numberreturn Boolean is lt package PrimeNumbers istype NumberList isarrayPositive range lt of Number function Decompose N  Numberreturn NumberList function IsPrime N  Numberreturn Boolean end PrimeNumbers The function Decompose first estimates the maximal result length as log. Then it allocates the result and starts to enumerate divisors. It does not care to check if the divisors are prime, because non prime divisors will be automatically excluded. This is the implementation of the generic package PrimeNumbers. PrimeNumbers is auxiliary internal functionsfunction FirstFactor N  Number Start  Numberreturn Number is. K   Number   Start beginwhileN mod K ZeroandthenN Kloop. K  K One endloop ifN mod K Zero thenreturn K elsereturn N endif end FirstFactor function Decompose N  Number Start  Numberreturn NumberList is. F Number  FirstFactorN, Start M Number  N F beginif M One then F is the last factorreturn1 F elsereturn F DecomposeM, Start endif end Decompose functions visible from the outsidefunction Decompose N  Numberreturn NumberList isDecomposeN, Two function IsPrime N  Numberreturn Boolean isN One andthen FirstFactorN, TwoN end PrimeNumbers In the example provided, the package PrimeNumbers is instantiated with plain integer type. PrimeNumbers, Ada. TextIO procedure TestPrime ispackage IntegerNumbers isnew. PrimeNumbers Natural, 0, 1, 2 use IntegerNumbers procedure Put List  NumberListisbeginfor Index in ListRangeloop. Ada. TextIO. PutPositiveImage List Index endloop end Put begin. Put Decompose 1. TestPrime decomposition of 1. This specimen retains the original Python coding style. IF long int possible THEN MODE LINT LONGINT LINT lmax int long max int OP LLENG INT iLINT LENG i,LSHORTEN LINT iINT SHORTEN i ELSEMODE LINT INT LINT lmax int max int OP LLENG INT iLINT i,LSHORTEN LINT iINT i FIOP LLONG INT iLINT LLENG i MODE YIELDLINT PROCLINTVOID PROCLINT, YIELDLINTVOID gen decompose INT upb cache bits width BITS cache 2r. BITS cached 2r. PROC is prime LINT nBOOL BOOLhas factor FALSE,out TRUE FOR LINT factor IN gen decomposen, DO LINT factorVOID IF has factor THEN out FALSE GO TO done FI has factor TRUE OD done out PROC is prime cached LINT nBOOL LINT l half n n OVER LLONG 2 LLONG 1 IF l half n lt LLENG upb cache THENINT half n LSHORTEN l half n IF half n ELEM cached THENBOOLhalf n ELEM cacheELSEBOOL out is primen BITS mask 2r. SHLupb cache half n cached cached OR mask IF out THEN cache cache OR mask FI out. FIELSEis primen above useful cache limit FI PROC gen primes YIELDLINT yieldVOID yieldLLONG 2 LINT n LLONG 3 WHILE n lt l maxint LLONG 2 DOyieldn n LLONG 2 WHILE n lt l maxint LLONG 2 ANDNOT is prime cachednDOn LLONG 2.