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<TITLE>Optimization constraints</TITLE>
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<H3 CLASS="subsection"><A NAME="htoc338">8.10</A>&#XA0;&#XA0;Optimization constraints</H3><UL>
<LI><A HREF="gprolog064.html#toc276"><TT>fd_minimize/2</TT>,
<TT>fd_maximize/2</TT></A>
</LI></UL>
<H4 CLASS="subsubsection"><A NAME="toc276"></A><A NAME="htoc339">8.10.1</A>&#XA0;&#XA0;<TT>fd_minimize/2</TT>,
<TT>fd_maximize/2</TT></H4><P><B>Templates</B></P><DL CLASS="list"><DT CLASS="dt-list">
</DT><DD CLASS="dd-list"><TT>
fd_minimize(+callable_term, ?fd_variable)<BR>
fd_maximize(+callable_term, ?fd_variable)</TT></DD></DL><P><B>Description</B></P><P><TT>fd_minimize(Goal, X)</TT> repeatedly calls <TT>Goal</TT> to find a
value that minimizes the variable <TT>X</TT>. <TT>Goal</TT> is a Prolog goal
that should instantiate <TT>X</TT>, a common case being the use of
<TT>fd_labeling/2</TT> (section&#XA0;<A HREF="gprolog063.html#fd-labeling/2">8.9.1</A>). This predicate uses a
branch-and-bound algorithm with restart: each time <TT>call(Goal)</TT>
succeeds the computation restarts with a new constraint <TT>X #&lt; V</TT>
where <TT>V</TT> is the value of <TT>X</TT> at the end of the last call of
<TT>Goal</TT>. When a failure occurs (either because there are no remaining
choice-points for <TT>Goal</TT> or because the added constraint is
inconsistent with the rest of the store) the last solution is recomputed
since it is optimal.</P><P><TT>fd_maximize(Goal, X)</TT> is similar to <TT>fd_minimize/2</TT> but
<TT>X</TT> is maximized<TT>.</TT></P><P><B>Errors</B></P><TABLE CELLSPACING=6 CELLPADDING=0><TR><TD CLASS="hbar" COLSPAN=3></TD></TR>
<TR><TD VALIGN=top ALIGN=left>
<TT>Goal</TT> is a variable</TD><TD VALIGN=top ALIGN=center NOWRAP>&#XA0;&#XA0;</TD><TD VALIGN=top ALIGN=left><TT>instantiation_error</TT></TD></TR>
<TR><TD CLASS="hbar" COLSPAN=3></TD></TR>
<TR><TD VALIGN=top ALIGN=left>
<TT>Goal</TT> is neither a variable nor a callable term</TD><TD VALIGN=top ALIGN=center NOWRAP>&#XA0;&#XA0;</TD><TD VALIGN=top ALIGN=left><TT>type_error(callable, Goal)</TT></TD></TR>
<TR><TD CLASS="hbar" COLSPAN=3></TD></TR>
<TR><TD VALIGN=top ALIGN=left>
The predicate indicator <TT>Pred</TT> of <TT>Goal</TT> does not
correspond to an existing procedure and the value of the <TT>unknown</TT>
Prolog flag is <TT>error</TT> (section&#XA0;<A HREF="gprolog045.html#set-prolog-flag/2">7.22.1</A>)</TD><TD VALIGN=top ALIGN=center NOWRAP>&#XA0;&#XA0;</TD><TD VALIGN=top ALIGN=left><TT>existence_error(procedure, Pred)</TT></TD></TR>
<TR><TD CLASS="hbar" COLSPAN=3></TD></TR>
<TR><TD VALIGN=top ALIGN=left>
<TT>X</TT> is neither a variable nor an FD variable nor an integer
</TD><TD VALIGN=top ALIGN=center NOWRAP>&#XA0;&#XA0;</TD><TD VALIGN=top ALIGN=left><TT>type_error(fd_variable, X)</TT></TD></TR>
<TR><TD CLASS="hbar" COLSPAN=3></TD></TR>
</TABLE><P><B>Portability</B></P><P>GNU Prolog predicates.
</P>
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