mirror of https://github.com/CGAL/cgal
130 lines
3.7 KiB
TeX
130 lines
3.7 KiB
TeX
\begin{ccRefConcept}{AlgebraicKernelForCircles::ConstructPolynomial_1_2}
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\ccDefinition
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\ccCreationVariable{fo}
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A model \ccVar\ of this type must provide:
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\ccMethod{AlgebraicKernelForCircles::Polynomial_1_2
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operator()(const AlgebraicKernelForCircles::RT a,
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const AlgebraicKernelForCircles::RT b,
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const AlgebraicKernelForCircles::RT c);}
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{Constructs polynomial \ccc{ax+by+c}.}
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\end{ccRefConcept}
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\begin{ccRefConcept}{AlgebraicKernelForCircles::ConstructPolynomialForCircles_2_2}
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\ccCreationVariable{fo}
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A model \ccVar\ of this type must provide:
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\ccMethod{AlgebraicKernelForCircles::PolynomialForCircles_2_2
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operator()(const AlgebraicKernelForCircles::FT a,
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const AlgebraicKernelForCircles::FT b,
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const AlgebraicKernelForCircles::FT rsq);}
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{Constructs polynomial \ccc{(x-a)^2 + (y-b)^2 - rsq}.}
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\end{ccRefConcept}
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\begin{ccRefConcept}{AlgebraicKernelForCircles::Solve}
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\ccDefinition
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\ccCreationVariable{fo}
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A model \ccVar\ of this type must provide:
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\ccMethod{template < class OutputIterator >
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OutputIterator
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operator()(const AlgebraicKernelForCircles::Polynomial_1_2 &p1,
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const AlgebraicKernelForCircles::Polynomial_1_2 &p2,
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OutputIterator res);}
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{Copies in the output iterator the common roots of \ccc{p1} and \ccc{p2}, with their multiplicity, as objects of type \ccc{std::pair< AlgebraicKernelForCircles::RootForCircles_2_2, int>}.} \footnote{???}
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\ccMethod{template < class OutputIterator >
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OutputIterator
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operator()(const AlgebraicKernelForCircles::Polynomial1_2 &p1,
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const AlgebraicKernelForCircles::PolynomialForCircles_2_2 &p2,
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OutputIterator res);}
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{Same as previous.}
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\ccMethod{template < class OutputIterator >
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OutputIterator
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operator()(const AlgebraicKernelForCircles::PolynomialForCircles_2_2 &p1,
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const AlgebraicKernelForCircles::PolynomialForCircles_2_2 &p2,
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OutputIterator res);}
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{Same as previous.}
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\ccHasModels
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\ccc{Algebraic_kernel_for_circles_2_2::Solve;}
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\ccSeeAlso
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\ccRefIdfierPage{CGAL::solve}
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\end{ccRefConcept}
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\begin{ccRefConcept}{AlgebraicKernelForCircles::XCriticalPoints}
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\ccDefinition
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\ccCreationVariable{fo}
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A model \ccVar\ of this type must provide:
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\ccMethod{template < class OutputIterator >
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OutputIterator
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operator()(const AlgebraicKernelForCircles::PolynomialForCircles_2_2 &p,
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OutputIterator res);}
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{Copies in the output iterator the \ccc{x}-critical points of polynomial
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\ccc{p}, as objects of type \ccc{AlgebraicKernelForCircles::RootForCircles_2_2}.}
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\ccMethod{template < class OutputIterator >
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AlgebraicKernelForCircles::RootForCircles_2_2
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operator()(const AlgebraicKernelForCircles::PolynomialForCircles_2_2 &p,
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bool i);}
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{Computes the \ccc{i}th \ccc{x}-critical point of polynomial \ccc{p}.}
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\ccHasModels
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\ccc{Algebraic_kernel_for_circles_2_2::X_critical_points;}
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\ccSeeAlso
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\ccRefIdfierPage{CGAL::x_critical_points}
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\end{ccRefConcept}
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\begin{ccRefConcept}{AlgebraicKernelForCircles::YCriticalPoints}
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\ccDefinition
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\ccCreationVariable{fo}
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A model \ccVar\ of this type must provide:
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\ccMethod{template < class OutputIterator >
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OutputIterator
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operator()(const AlgebraicKernelForCircles::PolynomialForCircles_2_2 &p,
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OutputIterator res);}
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{Copies in the output iterator the \ccc{y}-critical points of polynomial
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\ccc{p}, as objects of type \ccc{AlgebraicKernelForCircles::RootForCircles_2_2}.}
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\ccMethod{template < class OutputIterator >
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AlgebraicKernelForCircles::RootForCircles_2_2
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operator()(const AlgebraicKernelForCircles::PolynomialForCircles_2_2 &p,
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bool i);}
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{Computes the \ccc{i}th \ccc{y}-critical point of polynomial \ccc{p}.}
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\ccHasModels
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\ccc{Algebraic_kernel_for_circles_2_2::Y_critical_points;}
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\ccSeeAlso
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\ccRefIdfierPage{CGAL::y_critical_points}
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\end{ccRefConcept}
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