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<H2><A NAME="SECTION00064000000000000000"></A><A NAME="ss:complexcmpmap"></A>
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Creating More Complex Mappings
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<P>
Because a CmpMapCmpMap is itself a MappingMapping, any existing CmpMap can
substitute (&#167;<A HREF="node35.html#ss:objecthierarchy">4.3</A>) as a component Mapping when
constructing a new CmpMap using astCmpMapastCmpMap. This has the effect of
nesting one CmpMap inside another and opens up many new possibilities.
For example, combining three Mappings in series can be accomplished as
follows:

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AstMapping *map1, *map2, *map3;
\par
...
\par
cmpmap = astCmpMap( map1, astCmpMap( map2, map3, 1, '''' ), 1, '''' );
\end{terminalv}">
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<P>
The way in which the individual component Mappings are grouped within
the nested CmpMaps is not usually important.

<P>
A similar technique can be used to combine multiple Mappings in
parallel and, of course, mixed series and parallel combinations are
also possible (Figure&nbsp;<A HREF="node8.html#fig:complexcmpmap">4</A>).  There is no built-in
limit to how many CmpMaps may be nested in this way, so this mechanism
provides an indefinitely extensible method of building complex
Mappings out of the elemental building blocks provided by AST.

<P>
In practice, you might not need to construct such complex CmpMaps
yourself very frequently, but they will often be returned by AST
routines.  Nested CmpMaps underlie the library's entire ability to
represent a wide range of different coordinate transformations.

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