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apron-devel-0.9.10-9.fc18.i686.rpm

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<TITLE>APRON 0.9.10: Abstract values and operations of level 1</TITLE>

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<H2> Abstract values and operations of level 1 (<TT>`ap_abstract1.h'</TT>) </H2>
<!--docid::SEC123::-->
<P>

<A NAME="IDX291"></A>
<DL>
<DT><U>datatype:</U> <B>ap_abstract1_t</B>
<DD>Datatype for abstract values at level 1.
</P><P>

For information:
<TABLE><tr><td>&nbsp;</td><td class=example><pre>typedef struct ap_abstract1_t {
  ap_abstract0_t* abstract0;
  ap_environment_t* env;
} ap_abstract1_t;
  /* data structure invariant:
     ap_abstract0_integer_dimension(man,abstract0)== env-&#62;intdim &#38;&#38;
     ap_abstract0_real_dimension(man,abstract0)== env-&#62;realdim */
</pre></td></tr></table></DL>
</P><P>

<A NAME="IDX292"></A>
<DL>
<DT><U>datatype:</U> <B>ap_box1_t</B>
<DD><TABLE><tr><td>&nbsp;</td><td class=example><pre>typedef struct ap_box1_t {
  ap_interval_t** p;
  ap_environment_t* env;
} ap_box1_t;
void ap_box1_fprint(FILE* stream, ap_box1_t* box);
void ap_box1_clear(ap_box1_t* box);
</pre></td></tr></table></DL>
</P><P>

Most operations are offered in 2 versions: <EM>functional</EM> or
<EM>destructive</EM> See section <A HREF="apron_129.html#SEC165">Abstract values and operations of level 0 (<TT>`ap_abstract0.h'</TT>)</A>.
</P><P>

We remind the policy for redimensioning (see section <A HREF="apron_54.html#SEC90">Level 1 of the interface</A>):
</P><P>

<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 section <A HREF="apron_56.html#SEC92">Environments (<TT>`ap_environment.h'</TT>)</A>).
</UL>
<P>

<BLOCKQUOTE><TABLE BORDER=0 CELLSPACING=0> 
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_88.html#SEC124">Allocating abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_89.html#SEC125">Control of internal representation of abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_90.html#SEC126">Printing abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_91.html#SEC127">Serialization of abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
</TABLE>

<br>
Constructors,&nbsp;Accessors,&nbsp;Tests&nbsp;and&nbsp;Extraction&nbsp;of&nbsp;properties
<br>
<TABLE BORDER=0 CELLSPACING=0>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_92.html#SEC128">Constructors for abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_93.html#SEC129">Accessors for abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_94.html#SEC130">Tests on abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_95.html#SEC131">Extraction of properties of abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
</TABLE>

<br>
Operations
<br>
<TABLE BORDER=0 CELLSPACING=0>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_96.html#SEC132">Meet and Join of abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_97.html#SEC133">Assignements and Substitutions of abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_98.html#SEC134">Existential quantification of abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_99.html#SEC135">Change of environments of abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_100.html#SEC136">Expansion and Folding of dimensions in abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_101.html#SEC137">Widening of abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_102.html#SEC138">Topological closure of abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
</TABLE>

<br>
Additional&nbsp;functions
<br>
<TABLE BORDER=0 CELLSPACING=0>
<TR><TD ALIGN="left" VALIGN="TOP"><A HREF="apron_103.html#SEC139">Additional functions on abstract values of level 1</A></TD><TD>&nbsp;&nbsp;</TD><TD ALIGN="left" VALIGN="TOP"></TD></TR>
</TABLE></BLOCKQUOTE>
<P>

<A NAME="Allocating abstract values of level 1"></A>
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