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@ -33,7 +33,8 @@ third section documents generators for two-dimensional point sets, the
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fourth section for three-dimensional point sets. The fifth section
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presents examples using functions from
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Section~\ref{sectionGenericFunctions} to generate composed objects
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like segments. The sixth section describes ramdom conves sets.
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like segments.
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%% The sixth section describes random convex sets.
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Note that the \stl\ algorithm \ccc{random_shuffle} is
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useful in this context to achieve random permutations for otherwise
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regular generators (e.g.~points on a grid or segment).
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@ -107,7 +108,7 @@ template argument \ccc{Creator} which defaults to the class
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template arguments must be provided when using these generators.}.
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The \ccc{Creator} must be a function object accepting two \ccc{double}
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values $x$ and $y$ and returning an initialized point \ccc{(x,y)} of type
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\ccc{P}. Predifined implementations for these creators like the
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\ccc{P}. Predefined implementations for these creators like the
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default can be found in Section~\ref{sectionCreatorFunctionObjects}.
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They simply assume an appropriate constructor for type \ccc{P}.
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@ -250,7 +251,7 @@ Grid points are generated by functions writing to an output iterator.
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the $n$ points.
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\ccPrecond \ccc{Creator} must be a function object accepting two
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\ccc{double} values $x$ and $y$ and returning an initialized point
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\ccc{(x,y)} of type \ccc{P}. Predifined implementations for these
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\ccc{(x,y)} of type \ccc{P}. Predefined implementations for these
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creators like the default can be found in
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Section~\ref{sectionCreatorFunctionObjects}. The
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\ccc{OutputIterator} must accept values of type \ccc{P}. If the
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@ -285,7 +286,7 @@ exact predicates to compute the sign of expressions slightly off from zero.
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Two random numbers are needed from \ccc{rnd} for each point.
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\ccPrecond \ccc{Creator} must be a function object accepting two
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\ccc{double} values $x$ and $y$ and returning an initialized point
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\ccc{(x,y)} of type \ccc{P}. Predifined implementations for these
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\ccc{(x,y)} of type \ccc{P}. Predefined implementations for these
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creators like the default can be found in
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Section~\ref{sectionCreatorFunctionObjects}. The \ccc{value_type} of the
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\ccc{ForwardIterator} must be assignable to \ccc{P}.
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@ -321,7 +322,7 @@ a point set.
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Returns the value of \ccc{first2} after inserting the $n$ points.
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\ccPrecond \ccc{Creator} must be a function object accepting two
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\ccc{double} values $x$ and $y$ and returning an initialized point
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\ccc{(x,y)} of type \ccc{P}. Predifined implementations for these
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\ccc{(x,y)} of type \ccc{P}. Predefined implementations for these
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creators like the default can be found in
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Section~\ref{sectionCreatorFunctionObjects}. The \ccc{value_type} of the
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\ccc{RandomAccessIterator} must be assignable to \ccc{P}.
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@ -437,7 +438,7 @@ template argument \ccc{Creator} which defaults to
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template arguments must be provided when using these generators.}.
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The \ccc{Creator} must be a function object accepting three
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\ccc{double} values $x$, $y$ and $z$ and returning an initialized
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point \ccc{(x,y,z)} of type \ccc{P}. Predifined implementations for
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point \ccc{(x,y,z)} of type \ccc{P}. Predefined implementations for
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these creators like the default can be found in
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Section~\ref{sectionCreatorFunctionObjects}. They simply assume an
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appropriate constructor for type \ccc{P}.
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@ -567,7 +568,7 @@ used, in this example copied to a windowstream.
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<TABLE><TR><TD ALIGN=LEFT VALIGN=TOP WIDTH=60%>
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<A HREF="./Segment_generator_prog2.gif">Figure:</A>
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Output of example program for the generic segment generator using
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precomputed point locations.
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pre-computed point locations.
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</TD><TD ALIGN=LEFT VALIGN=TOP WIDTH=5% NOWRAP>
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</TD><TD ALIGN=LEFT VALIGN=TOP WIDTH=35% NOWRAP>
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<A HREF="./Segment_generator_prog2.gif">
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@ -33,7 +33,8 @@ third section documents generators for two-dimensional point sets, the
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fourth section for three-dimensional point sets. The fifth section
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presents examples using functions from
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Section~\ref{sectionGenericFunctions} to generate composed objects
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like segments. The sixth section describes ramdom conves sets.
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like segments.
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%% The sixth section describes random convex sets.
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Note that the \stl\ algorithm \ccc{random_shuffle} is
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useful in this context to achieve random permutations for otherwise
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regular generators (e.g.~points on a grid or segment).
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@ -107,7 +108,7 @@ template argument \ccc{Creator} which defaults to the class
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template arguments must be provided when using these generators.}.
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The \ccc{Creator} must be a function object accepting two \ccc{double}
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values $x$ and $y$ and returning an initialized point \ccc{(x,y)} of type
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\ccc{P}. Predifined implementations for these creators like the
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\ccc{P}. Predefined implementations for these creators like the
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default can be found in Section~\ref{sectionCreatorFunctionObjects}.
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They simply assume an appropriate constructor for type \ccc{P}.
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@ -250,7 +251,7 @@ Grid points are generated by functions writing to an output iterator.
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the $n$ points.
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\ccPrecond \ccc{Creator} must be a function object accepting two
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\ccc{double} values $x$ and $y$ and returning an initialized point
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\ccc{(x,y)} of type \ccc{P}. Predifined implementations for these
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\ccc{(x,y)} of type \ccc{P}. Predefined implementations for these
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creators like the default can be found in
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Section~\ref{sectionCreatorFunctionObjects}. The
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\ccc{OutputIterator} must accept values of type \ccc{P}. If the
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@ -285,7 +286,7 @@ exact predicates to compute the sign of expressions slightly off from zero.
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Two random numbers are needed from \ccc{rnd} for each point.
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\ccPrecond \ccc{Creator} must be a function object accepting two
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\ccc{double} values $x$ and $y$ and returning an initialized point
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\ccc{(x,y)} of type \ccc{P}. Predifined implementations for these
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\ccc{(x,y)} of type \ccc{P}. Predefined implementations for these
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creators like the default can be found in
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Section~\ref{sectionCreatorFunctionObjects}. The \ccc{value_type} of the
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\ccc{ForwardIterator} must be assignable to \ccc{P}.
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@ -321,7 +322,7 @@ a point set.
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Returns the value of \ccc{first2} after inserting the $n$ points.
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\ccPrecond \ccc{Creator} must be a function object accepting two
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\ccc{double} values $x$ and $y$ and returning an initialized point
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\ccc{(x,y)} of type \ccc{P}. Predifined implementations for these
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\ccc{(x,y)} of type \ccc{P}. Predefined implementations for these
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creators like the default can be found in
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Section~\ref{sectionCreatorFunctionObjects}. The \ccc{value_type} of the
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\ccc{RandomAccessIterator} must be assignable to \ccc{P}.
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@ -437,7 +438,7 @@ template argument \ccc{Creator} which defaults to
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template arguments must be provided when using these generators.}.
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The \ccc{Creator} must be a function object accepting three
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\ccc{double} values $x$, $y$ and $z$ and returning an initialized
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point \ccc{(x,y,z)} of type \ccc{P}. Predifined implementations for
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point \ccc{(x,y,z)} of type \ccc{P}. Predefined implementations for
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these creators like the default can be found in
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Section~\ref{sectionCreatorFunctionObjects}. They simply assume an
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appropriate constructor for type \ccc{P}.
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@ -567,7 +568,7 @@ used, in this example copied to a windowstream.
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<TABLE><TR><TD ALIGN=LEFT VALIGN=TOP WIDTH=60%>
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<A HREF="./Segment_generator_prog2.gif">Figure:</A>
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Output of example program for the generic segment generator using
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precomputed point locations.
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pre-computed point locations.
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</TD><TD ALIGN=LEFT VALIGN=TOP WIDTH=5% NOWRAP>
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</TD><TD ALIGN=LEFT VALIGN=TOP WIDTH=35% NOWRAP>
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<A HREF="./Segment_generator_prog2.gif">
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