mirror of https://github.com/CGAL/cgal
173 lines
4.6 KiB
TeX
173 lines
4.6 KiB
TeX
\begin{ccRefFunctionObjectConcept}{CircularKernel::CompareX_2}
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\ccRefines
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\ccc{Kernel::CompareX_2}
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\ccCreationVariable{fo}
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An object \ccVar\ of this type must provide in addition:
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\ccMemberFunction{Comparison_result operator()
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(const CircularKernel::Circular_arc_point_2 &p,
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const CircularKernel::Circular_arc_point_2 &q );}
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{Compares the $x$-coordinates of $p$ and $q$.}
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%\ccMemberFunction{Comparison_result operator()
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% (const CircularKernel::Point_2 &p,
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% const CircularKernel::Circular_arc_point_2 &q );}
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%{same.}
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%\ccMemberFunction{Comparison_result operator()
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% (const CircularKernel::Circular_arc_point_2 &p,
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% const CircularKernel::Point_2 &q );}
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%{same.}
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\ccHasModels
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\ccc{Circular_kernel_2::Compare_x_2;}
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\ccSeeAlso
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\ccRefIdfierPage{CGAL::compare_x}
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\end{ccRefFunctionObjectConcept}
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\begin{ccRefFunctionObjectConcept}{CircularKernel::CompareY_2}
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\ccRefines
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\ccc{Kernel::CompareY_2}
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\ccCreationVariable{fo}
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An object \ccVar\ of this type must provide in addition:
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\ccMemberFunction{Comparison_result operator()
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(const CircularKernel::Circular_arc_point_2 &p,
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const CircularKernel::Circular_arc_point_2 &q );}
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{Compares the $y$-coordinates of $p$ and $q$.}
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%\ccMemberFunction{Comparison_result operator()
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% (const CircularKernel::Point_2 &p,
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% const CircularKernel::Circular_arc_point_2 &q );}
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%{same.}
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%\ccMemberFunction{Comparison_result operator()
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% (const CircularKernel::Circular_arc_point_2 &p,
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% const CircularKernel::Point_2 &q );}
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%{same.}
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\ccHasModels
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\ccc{Circular_kernel_2::Compare_y_2;}
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\ccSeeAlso
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\ccRefIdfierPage{CGAL::compare_y}
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\end{ccRefFunctionObjectConcept}
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\begin{ccRefFunctionObjectConcept}{CircularKernel::CompareXY_2}
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\ccRefines
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\ccc{Kernel::CompareXY_2}
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\ccCreationVariable{fo}
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An object \ccVar\ of this type must provide in addition:
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\ccMemberFunction{Comparison_result operator()
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(const CircularKernel::Circular_arc_point_2 &p,
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const CircularKernel::Circular_arc_point_2 &q );}
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{Compares $p$ and $q$ according to the lexicographic ordering on $x$- and $y$-coordinates.}
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%\ccMemberFunction{Comparison_result operator()
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% (const CircularKernel::Point_2 &p,
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% const CircularKernel::Circular_arc_point_2 &q );}
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%{same.}
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%\ccMemberFunction{Comparison_result operator()
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% (const CircularKernel::Circular_arc_point_2 &p,
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% const CircularKernel::Point_2 &q );}
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%{same.}
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\ccHasModels
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\ccc{Circular_kernel_2::Compare_xy_2;}
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\ccSeeAlso
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\ccRefIdfierPage{CGAL::compare_xy}
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\end{ccRefFunctionObjectConcept}
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\begin{ccRefFunctionObjectConcept}{CircularKernel::CompareYatX_2}
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\ccCreationVariable{fo}
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An object \ccVar\ of this type must provide two operators that compare
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a point $p$ and an arc $a$ on the vertical line passing through $p$.
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\ccMemberFunction{Comparison_result operator()
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(const CircularKernel::Circular_arc_point_2 &p,
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const CircularKernel::Circular_arc_2 &a);}
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{For a circular arc.
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\ccPrecond{The arc $a$ must be monotone and $p$ must be in the vertical range
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of $a$.}}
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\ccMemberFunction{Comparison_result operator()
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(const CircularKernel::Circular_arc_point_2 &p,
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const CircularKernel::Line_arc_2 &a);}
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{Same for a segment.}
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\ccHasModels
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\ccc{Circular_kernel_2::Compare_y_at_x_2;}
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\ccSeeAlso
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\ccRefIdfierPage{CGAL::compare_y_at_x}
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\end{ccRefFunctionObjectConcept}
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\begin{ccRefFunctionObjectConcept}{CircularKernel::CompareYtoRight_2}
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\ccCreationVariable{fo}
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An object \ccVar\ of this type must provide operators that compare vertically
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two arcs on the right side of a common point $p$:
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\ccMemberFunction{Comparison_result operator()
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(const Circular_kernel_2::Circular_arc_2 &a1,
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const Circular_kernel_2::Circular_arc_2 &a2,
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const Circular_kernel_2::Circular_arc_point_2 &p);}
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{For two circular arcs.
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\ccPrecond{$p$ must be a common point to $a_1$ and $a_2$,
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and $a_1$ and $a_2$ must be defined to the right of $p$.}}
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\ccMemberFunction{Comparison_result operator()
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(const Circular_kernel_2::Line_arc_2 &a1,
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const Circular_kernel_2::Line_arc_2 &a2,
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const Circular_kernel_2::Circular_arc_point_2 &p);}
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{Same for two segments.}
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\ccMemberFunction{Comparison_result operator()
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(const Circular_kernel_2::Line_arc_2 &a1,
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const Circular_kernel_2::Circular_arc_2 &a2,
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const Circular_kernel_2::Circular_arc_point_2 &p);}
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{For a segment and an arc.}
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\ccMemberFunction{Comparison_result operator()
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(const Circular_kernel_2::Circular_arc_2 &a1,
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const Circular_kernel_2::Line_arc_2 &a2,
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const Circular_kernel_2::Circular_arc_point_2 &p);}
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{Same as previous.}
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\ccHasModels
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\ccc{Circular_kernel_2::Compare_y_to_right_2;}
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\ccSeeAlso
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\ccRefIdfierPage{CGAL::compare_y_to_right}
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\end{ccRefFunctionObjectConcept}
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