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<TITLE> Constructors: Cons, List, and Append</TITLE>
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<H2> Constructors: Cons, List, and Append</H2>
<P>
The primitive function ``cons'' allows you to add a member to the front of a list. Here are two examples:
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<BLOCKQUOTE>
<PRE>&gt; (cons 1 nil)
(1)
&gt; (cons 1 (cons 2 nil))
(1 2)
</PRE>
</BLOCKQUOTE>
It is worth looking at what is going on in these examples. In the first, cons is given two arguments. The first is 1 and the second is nil, which, you will remember, is the same as (). So, cons takes the first argument and inserts it as the first element of the second.
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To understand the second example, it is useful to anthropomorphize the interpreter. It says, ``OK, cons is a function I know and I've
got two arguments to that function, 1 and (cons 2
nil). The first argument is an atom, but a special one, and
evaluates to 1. The second is a list, so its first element names a
function, i.e. cons, and there are two arguments to that function, 2
and nil. 2 evaluates to 2, and nil evaluates to nil (the empty
list). So, putting 2 into the empty list we get (2). Now I know
what the second argument to the first cons is, we can go ahead and
insert the first argument, i.e. 1. Hence we get (1 2).''
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Now we discuss what happens when we deal with atoms that are not
special. Suppose you wanted to construct the list (a b c d) and you
try to do this by saying:
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<BLOCKQUOTE>
<PRE>&gt; (cons a (b c d))
</PRE>
</BLOCKQUOTE>
What would happen? Well, the interpreter would say ``OK, cons I know,
and I've got two arguments to evaluate. First, eval a.''
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Immediately you get an error because (we are assuming) a is an
unbound variable (you haven't set it to anything). How do you fix
this problem?
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<ADDRESS>
<I>&#169; Colin Allen &amp; Maneesh Dhagat <BR>
March 2007 </I>
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