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- <a name="Transpose-1"></a>
- <h4 class="subsubsection">2.7.14.4 Transpose</h4>
- <p>The <code>transpose</code> operation has the following representation in
- virtual code.
- </p>
- <dl compact="compact">
- <dt> <em>T31</em></dt>
- <dd><p>[[<code>transpose</code>]] = <code>((nil,nil),((nil,nil),(nil,nil)))</code>
- </p></dd>
- </dl>
- <a name="index-transpose"></a>
- <p>This function takes a list of equal length lists as an argument, and
- returns a list of lists as a result. In the resulting list, the first
- item is the list of all first items of lists in the argument. The next
- item is the list of all second items, and so on.
- </p>
- <p>In the specification of the semantics, the <code>silly</code> mnemonic
- <a name="index-flat"></a>
- <code>flat</code> is defined by <code>flat = reduce(cat,nil)</code> in the standard
- <code>silly</code> prelude, which means that it flattens a list of lists into
- one long list.
- </p>
- <dl compact="compact">
- <dt> <em>P41</em></dt>
- <dd><p>[[<code>transpose</code>]] <code><var>x</var></code> = <code>nil</code> if [[<code>flat</code>]] <code><var>x</var></code> = <code>nil</code>
- </p></dd>
- <dt> <em>P42</em></dt>
- <dd><p>[[<code>transpose</code>]] <code><var>x</var></code> =
- <code>(</code>[[<code>map left</code>]] <code><var>x</var>,</code>[[<code>transpose</code>]] [[<code>map right</code>]] <code><var>x</var>)</code><br>
- if [[<code>flat</code>]] <code><var>x</var></code> is a non-<code>nil</code> tree
- </p></dd>
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