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<TITLE>APRON 0.9.10: Level 1 of the interface</TITLE>
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<H1> Level 1 of the interface </H1>
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<P>
This interface of level 1 is defined in <TT>`ap_global1.h'</TT>.
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<BLOCKQUOTE><TABLE BORDER=0 CELLSPACING=0>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_55.html#SEC91">Variables and related operations</A></TD><TD> </TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_56.html#SEC92">Environments</A></TD><TD> </TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_57.html#SEC93">Linear expressions of level 1</A></TD><TD> </TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_66.html#SEC102">Linear constraints of level 1</A></TD><TD> </TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_72.html#SEC108">Generators of level 1</A></TD><TD> </TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_77.html#SEC113">Tree expressions of level 1</A></TD><TD> </TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_82.html#SEC118">Tree constraints of level 1</A></TD><TD> </TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_87.html#SEC123">Abstract values and operations of level 1</A></TD><TD> </TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
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<P>
The main functions brought by level 1 are
</P><P>
<UL>
<LI>
to convert variables to dimensions, thanks to the addition of
environments to objects;
<LI>
to redimension (abstract values), expressions, constraints and
generators defined on different environments.
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<P>
The policy for redimensioning is the following one:
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<UL>
<LI>
For functions taking one abstract value and one expression (or
constraint or generator, or array of ...), the environment of the
expression should be a sub-environment of the environment of the
abstract value. The environment of the result is the environment of
the argument abstract value.
<LI>
For functions taking several abstract values, their environments
should be the same. Otherwise, it is up to the user to move them
to a common super-environment (see <A HREF="apron_56.html#SEC92">Environments (<TT>`ap_environment.h'</TT>)</A> and
<A HREF="apron_99.html#SEC135">Change of environments of abstract values of level 1</A>).
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<A NAME="Variables and related operations"></A>
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