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A model of CircularKernel is supposed to provide some basic types
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Model of LinearKernel.
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Model of AlgebraicKernelForCircles.
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Model of RingNumberType.
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Model of FieldNumberType.
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Model of RootOf_2.
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Model of AlgebraicKernelForCircles::RootForCircles_2_2.
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Model of AlgebraicKernelForCircles::Polynomial_1_2.
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Model of AlgebraicKernelForCircles::PolynomialForCircles_2_2.
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and to define the following geometric objects
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Model of Kernel::Point_2.
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Model of Kernel::Circle_2.
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Model of CircularKernel::LineArc_2.
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Model of CircularKernel::CircularArc_2.
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Model of CircularKernel::CircularArcPoint_2.
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Moreover, a model of CircularKernel must provide predicates, constructions and other functionalities.
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Model of CircularKernel::CompareX_2.
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Model of CircularKernel::CompareY_2.
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Model of CircularKernel::CompareXY_2.
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Model of CircularKernel::Equal_2.
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Model of CircularKernel::CompareYatX_2.
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Model of CircularKernel::CompareYtoRight_2.
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Model of CircularKernel::HasOn_2.
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Model of CircularKernel::DoOverlap_2.
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Model of CircularKernel::DoIntersect_2.
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Model of CircularKernel::BoundedSide_2.
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Model of CircularKernel::HasOnBoundedSide_2.
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Model of CircularKernel::HasOnUnboundedSide_2.
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Model of CircularKernel::InXRange_2.
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Model of CircularKernel::IsVertical_2.
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Model of CircularKernel::IsXMonotone_2.
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Model of CircularKernel::IsYMonotone_2.
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Model of CircularKernel::ConstructLine_2.
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Model of CircularKernel::ConstructCircle_2.
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Model of CircularKernel::ConstructCircularArcPoint_2.
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Model of CircularKernel::ConstructLineArc_2.
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Model of CircularKernel::ConstructCircularArc_2.
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Model of CircularKernel::ComputeCircularX_2
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Model of CircularKernel::ComputeCircularY_2
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Model of CircularKernel::ConstructCircularMinVertex_2.
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Model of CircularKernel::ConstructCircularMaxVertex_2.
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Model of CircularKernel::ConstructCircularSourceVertex_2.
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Model of CircularKernel::ConstructCircularTargetVertex_2.
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Model of CircularKernel::Intersect_2.
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Model of CircularKernel::Split_2.
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Model of CircularKernel::MakeXMonotone_2.
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Model of CircularKernel::MakeXYMonotone_2.
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Model of CircularKernel::GetEquation.
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As in the Kernel concept, for each of the function objects above, there must exist a member function that requires no arguments and returns an instance of that function object. The name of the member function is the uncapitalized name of the type returned with the suffix _object appended. For example, for the function object CircularKernel::Construct_circular_arc_2 the following member function must exist:
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