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Changing some split examples in crash course to use splitBy instead.

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Rob Dickerson 2014-09-18 02:42:27 -05:00 committed by Rob Dickerson
parent f47351af35
commit 8250adfdbe
1 changed files with 7 additions and 7 deletions
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14
docs/ProgrammingCryptol/crashCourse/CrashCourse.tex
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@ -675,7 +675,7 @@ Try the following expressions:\indTake\indDrop\indSplitBy\indGroup\indJoin\indTr
\begin{Verbatim}
take`{3} [1 .. 12]
drop`{3} [1 .. 12]
split`{3} [1 .. 12]
splitBy`{3} [1 .. 12]
groupBy`{3} [1 .. 12]
join [[1 .. 4], [5 .. 8], [9 .. 12]]
join [[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]]
@ -695,7 +695,7 @@ Here are Cryptol's responses:
[1, 2, 3]
Cryptol> drop`{3} [1 .. 12]
[4, 5, 6, 7, 8, 9, 10, 11, 12]
Cryptol> split`{3}[1 .. 12]
Cryptol> splitBy`{3}[1 .. 12]
[[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]]
Cryptol> groupBy`{3} [1 .. 12]
[[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]]
@ -715,8 +715,8 @@ Here are Cryptol's responses:
\begin{Exercise}\label{ex:seq:12}
Based on your intuitions from the previous exercise, derive laws
between the following pairs of functions: {\tt take} and {\tt drop};
{\tt join} and {\tt split}; {\tt join} and {\tt groupBy}; {\tt
split} and {\tt groupBy} and {\tt transpose} and itself. For
{\tt join} and {\tt splitBy}; {\tt join} and {\tt groupBy}; {\tt
splitBy} and {\tt groupBy} and {\tt transpose} and itself. For
instance, {\tt take} and {\tt drop} satisfy the following
equality:\indTake\indDrop\indJoin\indSplitBy\indGroup\indTranspose
\begin{Verbatim}
@ -730,9 +730,9 @@ satisfy.
The following equalities are the simplest
candidates:\indJoin\indSplitBy\indGroup\indTranspose
\begin{Verbatim}
join (split`{parts=n} xs) == xs
join (splitBy`{parts=n} xs) == xs
join (groupBy`{each=n} xs) == xs
split`{parts=n} xs == groupBy`{each=m} xs
splitBy`{parts=n} xs == groupBy`{each=m} xs
transpose (transpose xs) == xs
\end{Verbatim}
In the first two equalities {\tt n} must be a divisor of the length of
@ -757,7 +757,7 @@ holds for all equal length sequences {\tt xs0}, {\tt xs1}, $\ldots$,
\end{Answer}
\paragraph*{Type-directed splits} We have studied the functions {\tt
groupBy}\indGroup and {\tt splitBy}\indSplit above. Cryptol also
groupBy}\indGroup and {\tt splitBy}\indSplitBy above. Cryptol also
provides a function {\tt split}\indSplit that can split a sequence
into any number of equal-length segments. A common way to use {\tt
split} is to be explicit about the type of its result, instead of