CGAL 5.3 - 2D Arrangements
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#include <CGAL/Arr_rational_function_traits_2.h>
Types | |
typedef AlgebraicKernel_d_1::Polynomial_1 | Polynomial_1 |
typedef AlgebraicKernel_d_1::Algebraic_real_1 | Algebraic_real_1 |
typedef AlgebraicKernel_d_1::Bound | Bound |
Operations | |
Polynomial_1 | numerator () const |
returns the numerator of the supporting rational function. | |
Polynomial_1 | denominator () const |
returns the denominator of the supporting rational function. | |
std::pair< double, double > | to_double () const |
returns double-approximations of the x- and y-coordinates. | |
Algebraic_real_1 | x () const |
returns the \( x\)-coordinate of the point. | |
Algebraic_real_1 | y () const |
obtains the y-coordinates of the point. More... | |
std::pair< Bound, Bound > | approximate_absolute_x (int a) const |
Computes a pair \( p\) approximating the \( x\)-coordinate with respect to the given absolute precision \( a\). More... | |
std::pair< Bound, Bound > | approximate_absolute_y (int a) const |
Computes a pair \( p\) approximating the \( y\)-coordinate with respect to the given absolute precision \( a\). More... | |
std::pair< Bound, Bound > | approximate_relative_x (int r) const |
Computes a pair \( p\) approximating the \( x\)-coordinate with respect to the given relative precision \( r\). More... | |
std::pair< Bound, Bound > | approximate_relative_y (int r) const |
Computes a pair \( p\) approximating the \( y\)-coordinate with respect to the given relative precision \( r\). More... | |
std::pair<Bound,Bound> CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::Point_2::approximate_absolute_x | ( | int | a | ) | const |
Computes a pair \( p\) approximating the \( x\)-coordinate with respect to the given absolute precision \( a\).
std::pair<Bound,Bound> CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::Point_2::approximate_absolute_y | ( | int | a | ) | const |
Computes a pair \( p\) approximating the \( y\)-coordinate with respect to the given absolute precision \( a\).
std::pair<Bound,Bound> CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::Point_2::approximate_relative_x | ( | int | r | ) | const |
Computes a pair \( p\) approximating the \( x\)-coordinate with respect to the given relative precision \( r\).
std::pair<Bound,Bound> CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::Point_2::approximate_relative_y | ( | int | r | ) | const |
Computes a pair \( p\) approximating the \( y\)-coordinate with respect to the given relative precision \( r\).
Algebraic_real_1 CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::Point_2::y | ( | ) | const |
obtains the y-coordinates of the point.
Attention: As described above, points are not stored by their y-coordinate in Algebraic_real_1
representation. In fact, this representation must be computed on demand, and might become quite costly for points defined by high-degree polynomials. Therefore, it is recommended to avoid calls to this function as much as possible.