June 2018 Update
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5278 changed files with 84726 additions and 14379 deletions
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@ -1,11 +1,11 @@
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/*REXX program sorts a list of integers using the bead sort algorithm. */
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/* [↑] define two dozen grasshopper numbers. */
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/*REXX program sorts a list (four groups) of integers using the bead sort algorithm.*/
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/* [↓] define two dozen grasshopper numbers. */
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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
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/* [↑] these are also called hexagonal pyramidal #s. */
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/* [↓] these are also called hexagonal pyramidal #s. */
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greenGrocer= 0 4 16 40 80 140 224 336 480 660 880 1144 1456 1820 2240 2720 3264 3876 4560
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/*define twenty-three Bernoulli numerator numbers. */
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/* [↓] define twenty-three Bernoulli numerator numbers*/
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bernN= '1 -1 1 0 -1 0 1 0 -1 0 5 0 -691 0 7 0 -3617 0 43867 0 -174611 0'
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/* [↑] also called the Reduced Totient function, and is*/
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/* [↓] also called the Reduced Totient function, and is*/
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/*also called Carmichael lambda, or the LAMBDA function*/
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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
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y= gHopper greenGrocer bernN psi /*combine the four lists into one list.*/
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@ -15,8 +15,8 @@ call show ' after sort', beadSort(y) /*display the list after sor
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exit /*stick a fork in it, we're all done. */
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/*──────────────────────────────────────────────────────────────────────────────────────*/
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beadSort: procedure; parse arg low . 1 high . 1 z,$; @.=0 /*$: the list to be sorted. */
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do j=1 until z==''; parse var z x z /*pick the meat off the bone.*/
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x=x/1; @.x=@.x+1 /*normalize X; bump counter.*/
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do j=1 until z==''; parse var z x z /*pick the meat off the bone.*/
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x= x / 1; @.x= @.x + 1 /*normalize X; bump counter.*/
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low=min(low, x); high=max(high, x) /*track lowest and highest #.*/
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end /*j*/
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/* [↓] now, collect beads and*/
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@ -24,8 +24,7 @@ beadSort: procedure; parse arg low . 1 high . 1 z,$; @.=0 /*$: the list to be
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end /*m*/
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return $
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/*──────────────────────────────────────────────────────────────────────────────────────*/
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show: parse arg txt,y; w=length( words(y) )
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do k=1 for words(y) /* [↑] twenty pad blanks. */
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say right('element',30) right(k,w) txt":" right(word(y,k),9)
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end /*k*/
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return
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show: parse arg txt,y; z=words(y); w=length(z)
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do k=1 for z
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say right('element',30) right(k,w) txt":" right( word(y,k), 9)
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end /*k*/; return
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