2016 Update
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7965 changed files with 139854 additions and 31002 deletions
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/*REXX program determines if any number (or a range) is/are semiprime. */
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parse arg bot top . /*obtain optional numbers from the C.L.*/
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if bot==''|bot=="," then bot=random() /*None given? User wants us to guess.*/
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if top==''|top=="," then top=bot /*maybe define a range of numbers. */
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w=max(length(bot), length(top)) /*obtain the maximum width of numbers. */
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numeric digits max(9,w) /*ensure there're enough decimal digits*/
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do n=bot to top /*show results for a range of numbers. */
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if isSemiPrime(n) then say right(n,w) " is semiprime."
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else say right(n,w) " isn't semiprime."
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/*REXX program determines if any integer (or a range of integers) is/are semiprime. */
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parse arg bot top . /*obtain optional arguments from the CL*/
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if bot=='' | bot=="," then bot=random() /*None given? User wants us to guess.*/
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if top=='' | top=="," then top=bot /*maybe define a range of numbers. */
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w=max(length(bot), length(top)) /*obtain the maximum width of numbers. */
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numeric digits max(9, w) /*ensure there're enough decimal digits*/
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do n=bot to top /*show results for a range of numbers. */
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if isSemiPrime(n) then say right(n, w) " is semiprime."
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else say right(n, w) " isn't semiprime."
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end /*n*/
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exit /*stick a fork in it, we're all done. */
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/*────────────────────────────────────────────────────────────────────────────*/
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isPrime: procedure; parse arg x; if x<2 then return 0 /*number too low*/
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if wordpos(x, '2 3 5 7 11 13 17 19 23')\==0 then return 1 /*it's low prime*/
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if x//2==0 then return 0; if x//3==0 then return 0 /*÷ by 2;÷ by 3?*/
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do j=5 by 6 until j*j>x; if x//j==0 then return 0 /*not a prime. */
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if x//(j+2)==0 then return 0 /* " " " */
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end /*j*/
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return 1 /*indicate that X is a prime number. */
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/*────────────────────────────────────────────────────────────────────────────*/
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isSemiPrime: procedure; parse arg x; if \datatype(x,'W') | x<4 then return 0
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x=x/1
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do i=2 for 2; if x//i==0 then if isPrime(x%i) then return 1
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else return 0
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end /*i*/
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/* ___ */
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do j=5 by 6; if j*j>x then return 0 /* > √ x ? */
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do k=j by 2 for 2; if x//k==0 then if isPrime(x%k) then return 1
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else return 0
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end /*k*/ /* [↑] see if 2nd factor is prime or ¬*/
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end /*j*/ /* [↑] never ÷ by J if J is mult. of 3*/
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exit /*stick a fork in it, we're all done. */
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/*──────────────────────────────────────────────────────────────────────────────────────*/
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isPrime: procedure; parse arg x; if x<2 then return 0 /*number too low?*/
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if wordpos(x, '2 3 5 7 11 13 17 19 23')\==0 then return 1 /*it's low prime.*/
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if x//2==0 then return 0; if x//3==0 then return 0 /*÷ by 2; ÷ by 3?*/
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do j=5 by 6 until j*j>x; if x//j==0 then return 0 /*not a prime. */
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if x//(j+2)==0 then return 0 /* " " " */
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end /*j*/
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return 1 /*indicate that X is a prime number. */
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/*──────────────────────────────────────────────────────────────────────────────────────*/
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isSemiPrime: procedure; parse arg x; if x<4 then return 0
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do i=2 for 2; if x//i==0 then if isPrime(x%i) then return 1
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else return 0
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end /*i*/
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/* ___ */
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do j=5 by 6; if j*j>x then return 0 /* > √ x ?*/
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do k=j by 2 for 2; if x//k==0 then if isPrime(x%k) then return 1
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else return 0
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end /*k*/ /* [↑] see if 2nd factor is prime or ¬*/
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end /*j*/ /* [↑] J is never a multiple of three.*/
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