mirror of https://github.com/CGAL/cgal
179 lines
5.7 KiB
TeX
179 lines
5.7 KiB
TeX
\chapter{Circular Kernel}
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\textbf{Submission - Monique - with Sylvain's help...}
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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::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::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::ConstructCircularArc_2}\\
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\ccRefConceptPage{CircularKernel::ConstructLineArc_2}\\
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\ccRefConceptPage{CircularKernel::ConstructCircularArcPoint_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::ConstructBbox_2}
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\ccRefConceptPage{CircularKernel::GetEquation}\\
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%\begin{ccAdvanced}
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%\ccRefConceptPage{ConicKernel::CompareX_2}\\
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%\ccRefConceptPage{ConicKernel::CompareY_2}\\
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%\ccRefConceptPage{ConicKernel::CompareXY_2}
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%\ccRefConceptPage{ConicKernel::ConstructConic_2}\\
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%\ccRefConceptPage{ConicKernel::ConstructConicArc_2}\\
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%\ccRefConceptPage{ConicKernel::ConstructConicArcPoint_2}
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%\ccRefConceptPage{ConicKernel::IsXMonotone_2}\\
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%\ccRefConceptPage{ConicKernel::MakeXMonotone_2}\\
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%\ccRefConceptPage{ConicKernel::Intersect_2}
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%\ccRefConceptPage{ConicKernel::GetEquation}
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%\end{ccAdvanced}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section*{Algebraic concepts}
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\ccRefConceptPage{AlgebraicKernelForCircles}
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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{AlgebraicKernelForCircles::RootOf_2}\\
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\ccRefConceptPage{AlgebraicKernelForCircles::RootForCircles_2_2}
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\subsubsection*{Functors}
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\ccRefConceptPage{AlgebraicKernelForCircles::ConstructPolynomial_1_2}\\
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\ccRefConceptPage{AlgebraicKernelForCircles::ConstructPolynomialForCircles_2_2}
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\ccRefConceptPage{AlgebraicKernelForCircles::Solve}
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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::CompareX}\\
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\ccRefConceptPage{AlgebraicKernelForCircles::CompareY}\\
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\ccRefConceptPage{AlgebraicKernelForCircles::CompareXY}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section*{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::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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\ccRefIdfierPage{CGAL::Algebraic_kernel_for_circles_2_2<RT>}
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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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\subsubsection*{Points}
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\ccRefIdfierPage{CGAL::Circular_arc_point_2<CircularKernel>}
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\subsubsection*{Algebraic objects}
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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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\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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%\begin{ccAdvanced}
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%\ccRefIdfierPage{CGAL::Conic_arc_point_2<ConicKernel>}
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%\end{ccAdvanced}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section*{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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\ccRefIdfierPage{CGAL::sign_at}
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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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\ccRefIdfierPage{CGAL::solve}
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\ccRefIdfierPage{CGAL::x_critical_points}\\
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\ccRefIdfierPage{CGAL::y_critical_points}
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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::Circular_arc_traits<CircularKernel>}\\
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\ccRefIdfierPage{CGAL::Line_arc_traits<CircularKernel>}\\
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\ccRefIdfierPage{CGAL::Variant_traits<CircularKernel>}
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%\begin{ccAdvanced}
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%\ccRefIdfierPage{CGAL::Conic_arc_traits}
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%\end{ccAdvanced}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% \section*{Enums}
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\bigskip
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