mirror of https://github.com/CGAL/cgal
163 lines
5.3 KiB
TeX
163 lines
5.3 KiB
TeX
\ccRefChapter{2D Circular Kernel}
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\ccChapterAuthor{Sylvain Pion \and Monique Teillaud}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Geometric Concepts}
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\ccRefConceptPage{CircularKernel}
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\ccRefConceptPage{LinearKernel}
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\subsubsection*{Functors}
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\ccRefConceptPage{CircularKernel::ConstructLine_2}\\
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\ccRefConceptPage{CircularKernel::ConstructCircle_2}\\
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\ccRefConceptPage{CircularKernel::ConstructCircularArcPoint_2}\\
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\ccRefConceptPage{CircularKernel::ConstructLineArc_2}\\
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\ccRefConceptPage{CircularKernel::ConstructCircularArc_2}
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\ccRefConceptPage{CircularKernel::ConstructCircularMinVertex_2}\\
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\ccRefConceptPage{CircularKernel::ConstructCircularMaxVertex_2}\\
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\ccRefConceptPage{CircularKernel::ConstructCircularSourceVertex_2}\\
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\ccRefConceptPage{CircularKernel::ConstructCircularTargetVertex_2}
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%\footnote{technical remark: the previous functors have a different name
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%``Circular'' because the operators() don't have the same return type
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%as the existing CGAL functors... it would be nice to find a way to avoid
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%this, but I don't know any technique for this.}
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\ccRefConceptPage{CircularKernel::ConstructBbox_2}
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\ccRefConceptPage{CircularKernel::CompareX_2}\\
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\ccRefConceptPage{CircularKernel::CompareY_2}\\
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\ccRefConceptPage{CircularKernel::CompareXY_2}
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\ccRefConceptPage{CircularKernel::Equal_2}
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\ccRefConceptPage{CircularKernel::CompareYatX_2}\\
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\ccRefConceptPage{CircularKernel::CompareYtoRight_2}
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\ccRefConceptPage{CircularKernel::HasOn_2}
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\ccRefConceptPage{CircularKernel::DoOverlap_2}
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\ccRefConceptPage{CircularKernel::InXRange_2}
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%\ccRefConceptPage{CircularKernel::InYRange_2}
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\ccRefConceptPage{CircularKernel::IsVertical_2}
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\ccRefConceptPage{CircularKernel::IsXMonotone_2}\\
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\ccRefConceptPage{CircularKernel::IsYMonotone_2}
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\ccRefConceptPage{CircularKernel::MakeXMonotone_2}
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\ccRefConceptPage{CircularKernel::Intersect_2}
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\ccRefConceptPage{CircularKernel::Split_2}
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\ccRefConceptPage{CircularKernel::GetEquation}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Algebraic Concepts}
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\ccRefConceptPage{AlgebraicKernelForCircles}
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%\ccRefConceptPage{AlgebraicKernelForCircles::Polynomial_1_2}\footnote{General
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%remark about the suffix \_d\_v: \_d stands
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%for the degree of the polynomials and the algebraic numbers, and
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%\_v stands for the number of variables, which is analogous to the
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%dimension for CGAL geometric objects.}\\
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%\ccRefConceptPage{AlgebraicKernelForCircles::PolynomialForCircles_2_2}\\
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%\ccRefConceptPage{RootOf_2}\\
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%\ccRefConceptPage{AlgebraicKernelForCircles::RootForCircles_2_2}
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\subsubsection*{Functors}
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% \footnote{no \_2 (or \_2\_2) for functors ????????? problem of compatibility
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% with CK and the current kernel. On the other hand, allows to have only
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% one functor for several types of arguments}
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\ccRefConceptPage{AlgebraicKernelForCircles::ConstructPolynomial_1_2}\\
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\ccRefConceptPage{AlgebraicKernelForCircles::ConstructPolynomialForCircles_2_2}
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\ccRefConceptPage{AlgebraicKernelForCircles::CompareX}\\
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\ccRefConceptPage{AlgebraicKernelForCircles::CompareY}\\
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\ccRefConceptPage{AlgebraicKernelForCircles::CompareXY}
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\ccRefConceptPage{AlgebraicKernelForCircles::SignAt}
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\ccRefConceptPage{AlgebraicKernelForCircles::XCriticalPoints}\\
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\ccRefConceptPage{AlgebraicKernelForCircles::YCriticalPoints}
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\ccRefConceptPage{AlgebraicKernelForCircles::Solve}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Geometric Kernels and Classes}
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\subsubsection*{Kernels}
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\ccRefIdfierPage{CGAL::Circular_kernel_2<LinearKernel,AlgebraicKernelForCircles>}
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\\
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\ccRefIdfierPage{CGAL::Exact_circular_kernel_2}
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%\ccRefIdfierPage{CGAL::Lazy_curved_kernel<??>}%\\
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%\ccRefIdfierPage{CGAL::Filtered_hexagon_curved_kernel<CircularKernel>}\\
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%\ccRefIdfierPage{CGAL::Filtered_bbox_curved_kernel<CircularKernel>}
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\subsubsection*{Points}
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\ccRefIdfierPage{CGAL::Circular_arc_point_2<CircularKernel>}
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\subsubsection*{Arcs}
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\ccRefIdfierPage{CGAL::Circular_arc_2<CircularKernel>}\\
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\ccRefIdfierPage{CGAL::Line_arc_2<CircularKernel>}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Algebraic Kernel and Classes}
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\subsubsection*{Kernel}
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\ccRefIdfierPage{CGAL::Algebraic_kernel_for_circles_2_2<RT>}
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\subsubsection*{Polynomials}
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\ccRefIdfierPage{CGAL::Polynomial_1_2<RT>}\\
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\ccRefIdfierPage{CGAL::Polynomial_for_circles_2_2<FT>}
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\subsubsection*{Roots of Polynomials}
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\ccRefIdfierPage{CGAL::Root_of_2<RT>}\\
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\ccRefIdfierPage{CGAL::Root_for_circles_2_2<FT>}
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\ccRefIdfierPage{CGAL::Root_of_traits_2<RT>}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%\section{Geometric global functions}
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% \subsubsection*{Predicates}
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%\ccRefIdfierPage{CGAL::compare_x}\\
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%\ccRefIdfierPage{CGAL::compare_y}\\
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%\ccRefIdfierPage{CGAL::compare_xy}
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%%\ccRefIdfierPage{CGAL::compare_y_at_x}\\
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%%\ccRefIdfierPage{CGAL::compare_y_to_right}
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% \subsubsection*{Constructions}
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%%\ccRefIdfierPage{CGAL::make_x_monotone}\\
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%%\ccRefIdfierPage{CGAL::intersect}
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%\ccRefIdfierPage{CGAL::make_root_of_2}
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% \subsubsection*{Accessors}
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%\ccRefIdfierPage{CGAL::get_equation}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Traits Classes for \cgal\ Arrangements}
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\ccRefIdfierPage{CGAL::Arr_circular_arc_traits<CircularKernel>}\\
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\ccRefIdfierPage{CGAL::Arr_line_arc_traits<CircularKernel>}\\
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\ccRefIdfierPage{CGAL::Arr_circular_line_arc_traits<CircularKernel>}
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