mirror of https://github.com/CGAL/cgal
152 lines
3.8 KiB
TeX
152 lines
3.8 KiB
TeX
\begin{ccRefFunctionObjectConcept}{CircularKernel::HasOn_2}
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\ccDefinition
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To test whether a point lies on a curve.
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\ccCreationVariable{fo}
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An object \ccVar\ of this type must provide:
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\ccMemberFunction{bool operator()
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(const CircularKernel::Line_2 & l,
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const CircularKernel::Circular_arc_point_2 &p);}
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{For a line.}
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\ccMemberFunction{bool operator()
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(const CircularKernel::Circle_2 & c,
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const CircularKernel::Circular_arc_point_2 &p);}
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{For a circle.}
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\ccMemberFunction{bool operator()
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(const CircularKernel::Line_arc_2 & l,
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const CircularKernel::Circular_arc_point_2 &p);}
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{For a line arc.}
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\ccMemberFunction{bool operator()
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(const CircularKernel::Circular_arc_2 & c,
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const CircularKernel::Circular_arc_point_2 &p);}
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{For a circular arc. \ccPrecond{$c$ is $x$-monotone.}}
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\end{ccRefFunctionObjectConcept}
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\begin{ccRefFunctionObjectConcept}{CircularKernel::DoOverlap_2}
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\ccDefinition
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Testing whether the interiors of two curves overlap.
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\ccCreationVariable{fo}
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An object \ccVar\ of this type must provide:
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\ccMemberFunction{bool operator()
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(const CircularKernel::Line_arc_2 & l0,
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const CircularKernel::Line_arc_2 & l1);}
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{For two line arcs.}
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\ccMemberFunction{bool operator()
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(const CircularKernel::Circular_arc_2 & a0,
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const CircularKernel::Circular_arc_2 & a1);}
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{For two circular arcs. \ccPrecond{$a_0$ and $a_1$ are $x$-monotone.}}
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\end{ccRefFunctionObjectConcept}
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\begin{ccRefFunctionObjectConcept}{CircularKernel::InXRange_2}
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\ccDefinition
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To test whether a point lies in the vertical range of a curve.
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\ccCreationVariable{fo}
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An object \ccVar\ of this type must provide:
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\ccMemberFunction{bool operator()
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(const CircularKernel::Line_arc_2 & l,
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const CircularKernel::Circular_arc_point_2 & p);}
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{For a line arc.}
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\ccMemberFunction{bool operator()
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(const CircularKernel::Circular_arc_2 & c,
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const CircularKernel::Circular_arc_point_2 & p);}
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{For a circular arc. \ccPrecond{$c$ is $x$-monotone.}}
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\end{ccRefFunctionObjectConcept}
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%\begin{ccRefFunctionObjectConcept}{CircularKernel::InYRange_2}
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%\ccDefinition
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%To test whether a point lies in the horizontal range of a curve.
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%\ccCreationVariable{fo}
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%An object \ccVar\ of this type must provide:
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%\ccMemberFunction{bool operator()
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% (const CircularKernel::Line_arc_2 & l,
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% const CircularKernel::Circular_arc_point_2 & p);}
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%{For a line arc.}
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%\ccMemberFunction{bool operator()
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% (const CircularKernel::Circular_arc_2 & c,
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% const CircularKernel::Circular_arc_point_2 & p);}
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%{For a circular arc. \ccPrecond{$c$ is $y$-monotone.}}
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%\ccHasModels
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%\ccc{Circular_kernel_2::In_y_range_2;}
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%\ccSeeAlso
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%\ccRefIdfierPage{CGAL::in_y_range}
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%\end{ccRefFunctionObjectConcept}
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\begin{ccRefFunctionObjectConcept}{CircularKernel::IsVertical_2}
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\ccCreationVariable{fo}
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\ccRefines
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\ccc{Kernel::IsVertical_2}
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An object \ccVar\ of this type must provide:
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\ccMemberFunction{bool operator()
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(const CircularKernel::Line_arc_2 & l);}
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{For a line arc.}
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\ccMemberFunction{bool operator()
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(const CircularKernel::Circular_arc_2 & c);}
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{For a circular arc, always returns \ccc{false}.}
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\end{ccRefFunctionObjectConcept}
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\begin{ccRefFunctionObjectConcept}{CircularKernel::IsXMonotone_2}
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\ccCreationVariable{fo}
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An object \ccVar\ of this type must provide:
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\ccMemberFunction{bool operator()
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(const CircularKernel::Circular_arc_2 & c);}
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{Tests whether the arc is $x$-monotone.}
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\ccMemberFunction{bool operator()
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(const CircularKernel::Line_arc_2 & l);}
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{For a line arc, always returns \ccc{true}.}
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\end{ccRefFunctionObjectConcept}
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\begin{ccRefFunctionObjectConcept}{CircularKernel::IsYMonotone_2}
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\ccCreationVariable{fo}
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An object \ccVar\ of this type must provide:
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\ccMemberFunction{bool operator()
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(const CircularKernel::Circular_arc_2 & c);}
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{Tests whether the arc is $y$-monotone.}
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\ccMemberFunction{bool operator()
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(const CircularKernel::Line_arc_2 & l);}
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{For a line arc, always returns \ccc{true}.}
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\end{ccRefFunctionObjectConcept}
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