Primes by Trial Division - TI LOGO

22 March 2020

TI LOGO is very close to Terrapin Logo PLUS, but there is no LOCAL (all procedure variables are already LOCAL). There is also no included routine for REMAINDER or for directly selecting the nth element of a list, so these procedures must be defined.

TO REMAINDER :NUM :DIV
 OUTPUT :NUM - (:NUM / :DIV) * :DIV
END

TO ITEM :N :LIST
 IF :N = 1 OUTPUT FIRST :LIST
 OUTPUT ITEM (:N - 1) (BUTFIRST :LIST)
END

TO PRIMES :N
 MAKE "PRIMES []
 MAKE "COUNT 2
 MAKE "FOUND 0
 CONTINUE: PRINT :COUNT
 MAKE "PRIMES (LPUT :COUNT :PRIMES)
 MAKE "FOUND (:FOUND + 1)
 IF :FOUND = :N THEN STOP
 NOTPRIME: MAKE "COUNT (:COUNT + 1)
 MAKE "I 1
 NEXTQ: IF REMAINDER :COUNT (ITEM :I :PRIMES) = 0 THEN GO "NOTPRIME
 MAKE "I (:I + 1)
 IF NOT :I > :FOUND THEN GO "NEXTQ
 GO "CONTINUE
END

Typewritten Software • bear@typewritten.org • Edmonds, WA 98026

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