September 2017 Update

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Ingy döt Net 2017-09-23 10:01:46 +02:00
parent bba7bfd280
commit ba8067c3b7
14570 changed files with 153136 additions and 63871 deletions

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/*REXX program sorts a list of integers using the bead sort algorithm. */
grasshopper=, /*define two dozen grasshopper numbers.*/
1 4 10 12 22 26 30 46 54 62 66 78 94 110 126 134 138 158 162 186 190 222 254 270
/*Green Grocer numbers are also called hexagonal pyramidal numbers.*/
/* [↑] define two dozen grasshopper numbers. */
gHopper= 1 4 10 12 22 26 30 46 54 62 66 78 94 110 126 134 138 158 162 186 190 222 254 270
/* [↑] these are also called hexagonal pyramidal #s. */
greenGrocer= 0 4 16 40 80 140 224 336 480 660 880 1144 1456 1820 2240 2720 3264 3876 4560
/*define 23 Bernoulli numerator numbers*/
bernN= '1 -1 1 0 -1 0 1 0 -1 0 5 0 -691 0 7 0 -3617 0 43867 0 -174611 0 854513'
/*Psi is also called the Reduced Totient function, and is*/
psi=, /*also called Carmichael lambda, or the LAMBDA function.*/
1 1 2 2 4 2 6 2 6 4 10 2 12 6 4 4 16 6 18 4 6 10 22 2 20 12 18 6 28 4 30 8 10 16
#= grasshopper greenGrocer bernN psi /*combine the four lists into one list.*/
call show 'before sort', # /*display the list before sorting. */
call show ' after sort', beadSort(#) /* " " " after " */
/*define twenty-three Bernoulli numerator numbers. */
bernN= '1 -1 1 0 -1 0 1 0 -1 0 5 0 -691 0 7 0 -3617 0 43867 0 -174611 0'
/* [↑] also called the Reduced Totient function, and is*/
/*also called Carmichael lambda, or the LAMBDA function*/
psi= 1 1 2 2 4 2 6 2 6 4 10 2 12 6 4 4 16 6 18 4 6 10 22 2 20 12 18 6 28 4 30 8 10 16
y= gHopper greenGrocer bernN psi /*combine the four lists into one list.*/
call show 'before sort', y /*display the list before sorting. */
say copies('', 75) /*show long separator line before sort.*/
call show ' after sort', beadSort(y) /*display the list after sorting. */
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
beadSort: procedure; parse arg low . 1 high . 1 z,$ /*$: the list to be sorted. */
@.=0 /*set all beads (@.) to zero.*/
do j=1 until z==''; parse var z x z /*pick the meat off the bone.*/
if \datatype(x, 'W') then do; say '***error***'
say 'element' j "in list isn't numeric:" x
say; exit 13
end /* [↑] exit pgm with RC=13. */
x=x/1 /*normalize: 4. 004 +4 .4e0 */
@.x=@.x+1 /*indicate this bead has a #.*/
low=min(low,x); high=max(high,x) /*track lowest and highest #.*/
end /*j*/
beadSort: procedure; parse arg low . 1 high . 1 z,$; @.=0 /*$: the list to be sorted. */
do j=1 until z==''; parse var z x z /*pick the meat off the bone.*/
x=x/1; @.x=@.x+1 /*normalize X; bump counter.*/
low=min(low, x); high=max(high, x) /*track lowest and highest #.*/
end /*j*/
/* [↓] now, collect beads and*/
do m=low to high /*let them fall (to zero). */
if @.m\==0 then do n=1 for @.m; $=$ m /*have we found a bead here? */
end /*n*/ /* [↑] add it to sorted list*/
end /*m*/
do m=low to high; do @.m; $=$ m; end /*let them fall (to zero). */
end /*m*/
return $
/*──────────────────────────────────────────────────────────────────────────────────────*/
show: parse arg txt,y; _=left('', 20)
w=length(words(y)); do k=1 for words(y) /* [↑] twenty pad blanks. */
say _ 'element' right(k, w) txt":" right(word(y, k), 9)
end /*k*/
say copies('', 70) /*show a long separator line.*/
show: parse arg txt,y; w=length( words(y) )
do k=1 for words(y) /* [↑] twenty pad blanks. */
say right('element',30) right(k,w) txt":" right(word(y,k),9)
end /*k*/
return