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- <a name="Insert-1"></a>
- <h2 class="section">B.2 Insert</h2>
- <a name="index-insert-1"></a>
- <p>This function is mentioned in <a href="Sort.html#Sort">Sort</a>, on sorting. It takes the
- virtual code for a partial order relational operator and returns the
- code for a function of two arguments. The left argument is a list item
- and the right argument is a list of items of the same type, which is
- already sorted with respect to the relational operator given as the
- argument to <code>insert</code>. The result of the function returned by
- <code>insert</code> is a list similar to its right argument but with the left
- argument inserted in the proper position to maintain the order.
- </p>
- <p>This code makes use of the <code>self</code>, <code>argument</code>, <code>head</code>
- and <code>tail</code> declarations associated with <code>pairwise</code>.
- </p>
- <table><tr><td> </td><td><pre class="example">
- insert =
- bu(compose,refer) (hired conditional)(
- constant compose(right,argument),
- couple(
- (hired conditional)(
- (hired compose)(
- identity,
- constant compose(
- couple(left,compose(head,right)),
- argument)),
- constant (
- argument,
- couple(
- compose(head,compose(right,argument)),
- (hired meta)(
- self,
- couple(
- compose(left,argument),
- compose(tail,compose(right,argument))))))),
- constant argument))
- </pre></td></tr></table>
- <p>As with the other higher order functions in this appendix, the only
- feasible ways to verify it would be either by formal proof or by some
- form of symbolic interpretation.
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