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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Population-count/REXX/population-count.rexx Normal file
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/*REXX program counts the number of "one" bits in the binary version of a decimal number*/
/*─────────────────── and also generates a specific number of EVIL and ODIOUS numbers.*/
parse arg N B . /*get optional arguments from the C.L. */
if N=='' | N=="," then N= 30 /*N not specified? Then use default. */
if B=='' | B=="," then B= 3 /*B " " " " " */
numeric digits 2000 /*be able to handle gihugeic numbers.*/
numeric digits max(20, length(B**N) ) /*whittle the precision down to size.*/
$= /* [↑] a little calculation for sizing*/
do j=0 for N; $= $ popCount(B**j) /*generate N popCounts for some powers.*/
end /*j*/ /* [↑] append popCount to the $ list. */
/* [↓] display popCounts of "3" powers*/
call showList 'popCounts of the powers of' B /*display the list with a header/title.*/
do j=0 until #>=N /*generate N evil numbers. */
if popCount(j) // 2 then iterate /*if odd population count, skip it. */
#= # + 1; $= $ j /*bump evil # count; add it to $ list.*/
end /*j*/ /* [↑] build a list of evil numbers. */
/* [↓] display the evil number list. */
call showList 'evil numbers' /*display the $ list with a header. */
do j=0 until #>=N /*generate N odious numbers. */
if popCount(j) // 2 ==0 then iterate /*if even population count, then skip. */
#= # + 1; $=$ j /*bump odious # count; add to $ list. */
end /*j*/ /* [↑] build a list of odious numbers.*/
/* [↓] display the odious number list.*/
call showList 'odious numbers' /*display the $ list with a header. */
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
d2b: return word( strip( x2b( d2x( arg(1) ) ), 'L', 0) 0, 1) /*dec ──► bin.*/
popCount: return length( space( translate( d2b(arg(1) ), , 0), 0) ) /*count ones. */
showList: say; say 'The 1st' N arg(1)":"; say strip($); #= 0; $=; return