Minor docs edits.
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@@ -1,6 +1,6 @@
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Treating Trees I
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================
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Treating Trees I: Ordered Binary Trees
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======================================
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Although any expression in Joy can be considered to describe a
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`tree <https://en.wikipedia.org/wiki/Tree_structure>`__ with the quotes
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@@ -96,6 +96,12 @@ Definition:
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J('"v" "k" Tree-new')
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.. parsed-literal::
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['k' 'v' [] []]
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(As an implementation detail, the ``[[] []]`` literal used in the
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definition of ``Tree-new`` will be reused to supply the *constant* tail
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for *all* new nodes produced by it. This is one of those cases where you
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@@ -420,10 +426,10 @@ Examples
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Interlude: ``cmp`` combinator
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-----------------------------
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Instead of mucking about with nested ``ifte`` combinators let's just go
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whole hog and define ``cmp`` which takes two values and three quoted
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programs on the stack and runs one of the three depending on the results
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of comparing the two values:
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Instead of mucking about with nested ``ifte`` combinators let's use
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``cmp`` which takes two values and three quoted programs on the stack
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and runs one of the three depending on the results of comparing the two
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values:
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::
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@@ -439,38 +445,6 @@ of comparing the two values:
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------------------------- a < b
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L
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.. code:: ipython2
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from joy.library import FunctionWrapper
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from joy.utils.stack import pushback
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from notebook_preamble import D
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@FunctionWrapper
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def cmp_(stack, expression, dictionary):
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'''
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cmp takes two values and three quoted programs on the stack and runs
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one of the three depending on the results of comparing the two values:
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a b [G] [E] [L] cmp
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------------------------- a > b
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G
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a b [G] [E] [L] cmp
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------------------------- a = b
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E
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a b [G] [E] [L] cmp
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------------------------- a < b
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L
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'''
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L, (E, (G, (b, (a, stack)))) = stack
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expression = pushback(G if a > b else L if a < b else E, expression)
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return stack, expression, dictionary
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D['cmp'] = cmp_
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.. code:: ipython2
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J("1 0 ['G'] ['E'] ['L'] cmp")
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@@ -930,7 +904,7 @@ Now we can sort sequences.
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Parameterizing the ``[F]`` function is left as an exercise for the
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reader (for now.)
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reader.
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Getting values by key
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---------------------
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@@ -1291,50 +1265,6 @@ need to replace the current node with something
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We have to handle three cases, so let's use ``cond``.
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.. code:: ipython2
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from joy.library import FunctionWrapper, S_ifte
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@FunctionWrapper
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def cond(stack, expression, dictionary):
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'''
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like a case statement; works by rewriting into a chain of ifte.
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[..[[Bi] Ti]..[D]] -> ...
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[[[B0] T0] [[B1] T1] [D]] cond
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-----------------------------------------
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[B0] [T0] [[B1] [T1] [D] ifte] ifte
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'''
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conditions, stack = stack
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if conditions:
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expression = _cond(conditions, expression)
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try:
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# Attempt to preload the args to first ifte.
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(P, (T, (E, expression))) = expression
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except ValueError:
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# If, for any reason, the argument to cond should happen to contain
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# only the default clause then this optimization will fail.
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pass
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else:
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stack = (E, (T, (P, stack)))
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return stack, expression, dictionary
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def _cond(conditions, expression):
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(clause, rest) = conditions
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if not rest: # clause is [D]
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return clause
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P, T = clause
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return (P, (T, (_cond(rest, ()), (S_ifte, expression))))
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D['cond'] = cond
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One or more child nodes are ``[]``
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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@@ -1534,7 +1464,7 @@ Substituting:
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[[E′] cons infra]
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] cond
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Minor rearrangement:
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Minor rearrangement, move ``dup`` into ``W``:
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::
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@@ -1553,9 +1483,9 @@ Refactoring
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W.rightmost == [fourth] [fourth] while
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W.unpack == uncons uncons pop
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W == dup W.rightmost W.unpack over
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E.clear_stuff == roll> popop rest
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E.delete == cons dipd
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W == dup W.rightmost W.unpack over
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E.0 == E.clear_stuff [W] dip E.delete swap
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E == [
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[[pop third not] pop fourth]
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@@ -1587,7 +1517,8 @@ program.
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T< == [dipdd] cons infra
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R0 == over first swap dup
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R1 == cons roll> [T>] [E] [T<] cmp
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Tree-Delete == [pop not] [pop] [R0] [R1] genrec''', D)
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Tree-Delete == [pop not] [pop] [R0] [R1] genrec
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''', D)
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.. code:: ipython2
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