2016 Update

This commit is contained in:
Tina Müller 2016-12-05 22:15:40 +01:00
parent 948b86eafa
commit dcf5d15da3
7965 changed files with 139854 additions and 31002 deletions

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@ -1,31 +1,31 @@
/*REXX program determines if any number (or a range) is/are semiprime. */
parse arg bot top . /*obtain optional numbers from the C.L.*/
if bot==''|bot=="," then bot=random() /*None given? User wants us to guess.*/
if top==''|top=="," then top=bot /*maybe define a range of numbers. */
w=max(length(bot), length(top)) /*obtain the maximum width of numbers. */
numeric digits max(9,w) /*ensure there're enough decimal digits*/
do n=bot to top /*show results for a range of numbers. */
if isSemiPrime(n) then say right(n,w) " is semiprime."
else say right(n,w) " isn't semiprime."
/*REXX program determines if any integer (or a range of integers) is/are semiprime. */
parse arg bot top . /*obtain optional arguments from the CL*/
if bot=='' | bot=="," then bot=random() /*None given? User wants us to guess.*/
if top=='' | top=="," then top=bot /*maybe define a range of numbers. */
w=max(length(bot), length(top)) /*obtain the maximum width of numbers. */
numeric digits max(9, w) /*ensure there're enough decimal digits*/
do n=bot to top /*show results for a range of numbers. */
if isSemiPrime(n) then say right(n, w) " is semiprime."
else say right(n, w) " isn't semiprime."
end /*n*/
exit /*stick a fork in it, we're all done. */
/*────────────────────────────────────────────────────────────────────────────*/
isPrime: procedure; parse arg x; if x<2 then return 0 /*number too low*/
if wordpos(x, '2 3 5 7 11 13 17 19 23')\==0 then return 1 /*it's low prime*/
if x//2==0 then return 0; if x//3==0 then return 0 /*÷ by 2;÷ by 3?*/
do j=5 by 6 until j*j>x; if x//j==0 then return 0 /*not a prime. */
if x//(j+2)==0 then return 0 /* " " " */
end /*j*/
return 1 /*indicate that X is a prime number. */
/*────────────────────────────────────────────────────────────────────────────*/
isSemiPrime: procedure; parse arg x; if \datatype(x,'W') | x<4 then return 0
x=x/1
do i=2 for 2; if x//i==0 then if isPrime(x%i) then return 1
else return 0
end /*i*/
/* ___ */
do j=5 by 6; if j*j>x then return 0 /* > √ x ? */
do k=j by 2 for 2; if x//k==0 then if isPrime(x%k) then return 1
else return 0
end /*k*/ /* [↑] see if 2nd factor is prime or ¬*/
end /*j*/ /* [↑] never ÷ by J if J is mult. of 3*/
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
isPrime: procedure; parse arg x; if x<2 then return 0 /*number too low?*/
if wordpos(x, '2 3 5 7 11 13 17 19 23')\==0 then return 1 /*it's low prime.*/
if x//2==0 then return 0; if x//3==0 then return 0 /*÷ by 2; ÷ by 3?*/
do j=5 by 6 until j*j>x; if x//j==0 then return 0 /*not a prime. */
if x//(j+2)==0 then return 0 /* " " " */
end /*j*/
return 1 /*indicate that X is a prime number. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
isSemiPrime: procedure; parse arg x; if x<4 then return 0
do i=2 for 2; if x//i==0 then if isPrime(x%i) then return 1
else return 0
end /*i*/
/* ___ */
do j=5 by 6; if j*j>x then return 0 /* > √ x ?*/
do k=j by 2 for 2; if x//k==0 then if isPrime(x%k) then return 1
else return 0
end /*k*/ /* [↑] see if 2nd factor is prime or ¬*/
end /*j*/ /* [↑] J is never a multiple of three.*/