2016 Update
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7965 changed files with 139854 additions and 31002 deletions
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/*REXX program sorts (E-sort) an arra y (which contains integers). */
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numeric digits 30 /*handle larger Euler numbers. */
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@. = 0 /*default for all Euler numbers. */
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@.1= 1
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@.3= -1
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@.5= 5
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@.7= -61
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@.9= 1385
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@.11= -50521
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@.13= 2702765
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@.15= -199360981
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@.17= 19391512145
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@.19= -2404879675441
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@.21= 370371188237525
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size=21 /*indicate there are 21 Euler #'s*/
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call tell 'un-sorted' /*display the array before sort. */
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call esort size /*sort the array of Euler numbers*/
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call tell ' sorted' /*display the array after sort. */
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exit /*stick a fork in it, we're done.*/
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/*──────────────────────────────────ESORT subroutine────────────────────*/
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esort: procedure expose @.; parse arg N; h=N
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do while h>1; h=h%2
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do i=1 for N-h; j=i; k=h+i
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do while @.k<@.j
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parse value @.j @.k with @.k @.j /*swap two elements.*/
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if h>=j then leave; j=j-h; k=k-h
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end /*while @.k<@.j*/
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end /*i*/
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end /*while h>1*/
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return
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/*──────────────────────────────────TELL subroutine─────────────────────*/
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tell: say center(arg(1),50,'─')
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do j=1 for size
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say arg(1) 'array element' right(j,length(size))'='right(@.j,20)
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end /*j*/
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say
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return
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/*REXX program sorts an array (using E-sort), in this case, the array contains integers.*/
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numeric digits 30 /*enables handling larger Euler numbers*/
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@. = 0 /*the default for all Euler numbers. */
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@.1 = 1
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@.3 = -1
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@.5 = 5
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@.7 = -61
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@.9 = 1385
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@.11= -50521
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@.13= 2702765
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@.15= -199360981
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@.17= 19391512145
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@.19= -2404879675441
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@.21= 370371188237525
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size=21 /*indicate that there're 21 Euler #s.*/
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call tell 'un-sorted' /*display the array before the eSsort. */
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call eSort size /*sort the array of some Euler numbers.*/
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call tell ' sorted' /*display the array after the sort. */
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exit /*stick a fork in it, we're all done. */
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/*──────────────────────────────────────────────────────────────────────────────────────*/
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eSort: procedure expose @.; parse arg N; h=N
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do while h>1; h=h%2
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do i=1 for N-h; j=i; k=h+i
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do while @.k<@.j
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parse value @.j @.k with @.k @.j /*swap two array elements.*/
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if h>=j then leave; j=j-h; k=k-h
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end /*while @.k<@.j*/
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end /*i*/
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end /*while h>1*/
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return
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/*──────────────────────────────────────────────────────────────────────────────────────*/
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tell: say center(arg(1), 50, '─')
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do j=1 for size
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say arg(1) 'array element' right(j, length(size))'='right(@.j, 20)
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end /*j*/
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say
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return
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@ -1,29 +1,28 @@
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/*REXX program sorts (using E-sort) a list of some interesting integers.*/
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/* [↓] quotes aren't needed if all elements in a list are non-negative.*/
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bell= 1 1 2 5 15 52 203 877 4140 21147 115975 /*some Bell numbers.*/
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bern= '1 -1 1 0 -1 0 1 0 -1 0 5 0 -691 0 7 0 -3617' /*some Bernoulli num*/
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perrin= 3 0 2 3 2 5 5 7 10 12 17 22 29 39 51 68 90 /*some Perrin nums. */
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list=bell bern perrin /*throw 'em───►a pot*/
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say 'unsorted =' list /*an announcement···*/
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size=words(list) /*nice to have SIZE.*/
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do j=1 for size /*build an array, 1 */
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@.j=word(list,j) /*element at a time.*/
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end /*j*/
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call esort size /*sort the stuff. */
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bList= /*list: null so far.*/
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do k=1 for size /*build a list. */
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bList=strip(bList @.k) /*append it to list.*/
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end /*k*/
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say ' sorted =' bList /*show & tell time. */
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exit /*stick a fork in it, we're done.*/
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/*──────────────────────────────────ESORT subroutine────────────────────*/
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esort: procedure expose @.; parse arg N; h=N /*get the item count*/
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do while h>1; h=h%2 /*partition array. */
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do i=1 for N-h; j=i; k=h+i
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do while @.k<@.j
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parse value @.j @.k with @.k @.j /*swap two elements.*/
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if h>=j then leave; j=j-h; k=k-h
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end /*while @.k<@.j*/
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end /*i*/
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end /*while h>1*/
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return
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/*REXX program sorts (using E─sort) and displays a list of some interesting integers. */
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Bell= 1 1 2 5 15 52 203 877 4140 21147 115975 /*a few Bell " */
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Bern= '1 -1 1 0 -1 0 1 0 -1 0 5 0 -691 0 7 0 -3617' /*" " Bernoulli " */
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Perrin= 3 0 2 3 2 5 5 7 10 12 17 22 29 39 51 68 90 /*" " Perrin " */
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list=Bell Bern Perrin /*throw them all ───► a pot. */
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say 'unsorted =' list /*display what's being shown.*/
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size=words(list) /*nice to have # of elements.*/
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do j=1 for size /*build an array, a single */
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@.j=word(list,j) /* ··· element at a time.*/
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end /*j*/
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call eSort size /*sort the collection of #s. */
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$= /*list: define as null so far*/
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do k=1 for size /*build a list from the array*/
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$=$ @.k /*append a number to the list*/
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end /*k*/
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say ' sorted =' space($) /*display the sorted list. */
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exit /*stick a fork in it, we're all done.*/
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/*──────────────────────────────────────────────────────────────────────────────────────*/
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eSort: procedure expose @.; parse arg N; h=N /*get item count for array. */
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do while h>1; h=h%2 /*partition the array. */
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do i=1 for N-h; j=i; k=h+i
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do while @.k<@.j /*keep swapping while less. */
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parse value @.j @.k with @.k @.j /*swap two array elements. */
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if h>=j then leave; j=j-h; k=k-h
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end /*while @.k<@.j*/
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end /*i*/
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end /*while h>1*/
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return
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