mirror of https://github.com/CGAL/cgal
Fixing a bug (homegenous version of Construct_radical_line_2)
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@ -50,7 +50,6 @@ namespace HomogeneousKernelFunctors {
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using CartesianKernelFunctors::Compute_approximate_squared_length_3;
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using CartesianKernelFunctors::Compute_area_divided_by_pi_3;
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using CartesianKernelFunctors::Compute_squared_length_divided_by_pi_square_3;
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using CartesianKernelFunctors::Construct_radical_line_2;
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using CartesianKernelFunctors::Construct_radical_plane_3;
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template <typename K>
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@ -3153,6 +3152,37 @@ namespace HomogeneousKernelFunctors {
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{ return h.rep().projection(p); }
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};
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template <class K>
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class Construct_radical_line_2
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{
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typedef typename K::Line_2 Line_2;
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typedef typename K::Circle_2 Circle_2;
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typedef typename K::RT RT;
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typedef typename K::FT FT;
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public:
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typedef Line_2 result_type;
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result_type
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operator() (const Circle_2 & c1, const Circle_2 & c2) const
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{
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// Concentric Circles don't have radical line
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CGAL_kernel_precondition (c1.center() != c2.center());
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const FT a = 2*(c2.center().x() - c1.center().x());
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const FT b = 2*(c2.center().y() - c1.center().y());
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const FT c = CGAL::square(c1.center().x()) +
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CGAL::square(c1.center().y()) - c1.squared_radius() -
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CGAL::square(c2.center().x()) -
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CGAL::square(c2.center().y()) + c2.squared_radius();
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const RT aa = a.numerator() * b.denominator() * c.denominator();
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const RT bb = a.denominator() * b.numerator() * c.denominator();
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const RT cc = a.denominator() * b.denominator() * c.numerator();
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return Line_2(aa, bb, cc);
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}
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};
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template <typename K>
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class Construct_scaled_vector_2
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{
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