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keatondunsford
Feb 1st, 2017
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  1. gate that takes a list of atoms `a`.
  2. declare variable `s` (for surface) which is the index that marks the sorted part of the list. since none of the list is sorted yet, set the starting `s` to (sub (lent a) 1).
  3. declare variable `c` (for counter) which starts at 0 and counts up to s.
  4.  
  5. loop - produces a list of atoms
  6.  
  7. if there's no `a`, produce nil.
  8. if there's no `t.a`, produce [i.a ~].
  9.  
  10. if `s`, the surface index, minus 1 equals zero, then the list is sorted,
  11. so produce the final `a`.
  12.  
  13. otherwise produce a new `a` from the logic (this should bubble as many times as is needed for the whole list to be sorted, until the above conditional hits.):
  14. bubble:
  15. if `c` the counter equals `s`-1
  16. then produce the rest of our `a` sample (this should solve the sorting-the-surface problem) (`a` gets changed to the product of this whole conditional, so we don't actually "lose" `a`).
  17. if i.a is gth i.t.a
  18. then produce i.t.a and call $ again with `a`=[i.a t.t.a] and `c` incremented.
  19. otherwise produce i.a and call $ again with a=t.a and `c` incremented still.
  20. ^ this conditional will bubble the largest element up.
  21. and lastly decrement `s` since now has the largest element bumped to the top, so the "surface" is the original `s` minus 1.
  22.  
  23.  
  24.  
  25.  
  26.  
  27.  
  28.  
  29.  
  30. Hoon code:
  31.  
  32. ::
  33. :: gen/problem--bubble-sort.hoon
  34. :: Sort a list in increasing order via the bubble-sort algorithm.
  35. ::
  36. |= a/(list @)
  37. =/ b/(list @) ~
  38. =/ s/@ (sub (lent a) 1) :: Surface.
  39. =| c/@ :: Counter.
  40. |- ^- (list @)
  41. ?~ a ~
  42. ?~ t.a
  43. [i.a ~]
  44. ?: =((sub s 1) 0)
  45. a
  46. %= $
  47. a ?: =(c (sub s 1))
  48. ~& %printed-air
  49. a
  50. ?: (gth i.a i.t.a)
  51. ~& %sorting
  52. [i.t.a $(a [i.a t.t.a], c +(c))]
  53. ~& %printing
  54. [i.a $(a t.a, c +(c))]
  55. s (dec s)
  56. ==
  57. ::
  58.  
  59.  
  60.  
  61.  
  62.  
  63.  
  64.  
  65.  
  66.  
  67.  
  68.  
  69. > c
  70. ~[3.333 666 3 0 333 66 33 6]
  71. > d
  72. ~[666 3 0 333 66 33 6 3.333]
  73. > e
  74. ~[3 0 333 66 33 6 666 3.333]
  75. > f
  76. ~[0 3 66 33 6 333 666 3.333]
  77. %sorting
  78. %sorting
  79. %sorting
  80. %sorting
  81. %sorting
  82. %sorting
  83. %printed-air
  84. %sorting
  85. %printing
  86. %printing
  87. %printing
  88. %printing
  89. %printed-air
  90. %sorting
  91. %printing
  92. %printing
  93. %printing
  94. %printing
  95. %printing
  96. %printing
  97. %printing
  98. %printing
  99. %printing
  100. %printing
  101. %printing
  102. %printing
  103. %printing
  104. %sorting
  105. %printed-air
  106. %sorting
  107. %printing
  108. %printing
  109. %printing
  110. %printing
  111. %printing
  112. %printing
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  120. %printed-air
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  133. %printing
  134. %printing
  135. %printing
  136. %printing
  137. %printing
  138. %printing
  139. %printing
  140. %sorting
  141. %sorting
  142. %printed-air
  143. %sorting
  144. %printing
  145. %printing
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  178. %printed-air
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  198. %printed-air
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  289. %printed-air
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  309. %printed-air
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  325. %printed-air
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  340. %printed-air
  341. %printing
  342. %printing
  343. %printing
  344. %printing
  345. %printing
  346. %sorting
  347. %printing
  348. %printing
  349. %printing
  350. %printed-air
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  459. %printed-air
  460. %printing
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  542. %printed-air
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  564. %printed-air
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  566. %printing
  567. %printing
  568. %printing
  569. %printing
  570. %printed-air
  571. %sorting
  572. %sorting
  573. %sorting
  574. %sorting
  575. %sorting
  576. %printed-air
  577. %sorting
  578. %printing
  579. %printing
  580. %printing
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  591. %printed-air
  592. %printing
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  632. %printed-air
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  649. %printed-air
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  931. %printed-air
  932. > +problem--bubble-sort c
  933. ~[0 3 6 33 66 333 666 3.333]
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