CGAL 5.3 - 2D Arrangements
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#include <CGAL/Arr_rational_function_traits_2.h>
The X_monotone_curve_2
class nested within the traits is used to represent \( x\)-monotone parts of rational functions.
In particular, such an \( x\)-monotone curve may not contain a vertical asymptote in its interior \( x\)-range.
Types | |
typedef AlgebraicKernel_d_1::Polynomial_1 | Polynomial_1 |
typedef AlgebraicKernel_d_1::Algebraic_real_1 | Algebraic_real_1 |
typedef Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::Point_2 | Point_2 |
Operations | |
const Polynomial_1 & | numerator () const |
returns the numerator of the supporting rational function. | |
const Polynomial_1 & | denominator () const |
returns the denominator of the supporting rational function. | |
Arr_parameter_space | source_parameter_space_in_x () const |
returns whether the \( x\)-coordinate of the source is finite or whether it is \( \pm\infty\). | |
Arr_parameter_space | source_parameter_space_in_y () const |
returns whether the \( y\)-coordinate of the source is finite or whether it is \( \pm\infty\). | |
const Point_2 & | source () const |
returns the source point of the arc. More... | |
Algebraic_real_1 | source_x () const |
returns the \( x\)-coordinate of the source point. More... | |
Arr_parameter_space | target_parameter_space_in_x () const |
returns whether the \( x\)-coordinate of the target is finite or whether it is \( \pm\infty\). | |
Arr_parameter_space | target_parameter_space_in_y () const |
returns whether the \( y\)-coordinate of the target is finite or whether it is \( \pm\infty\). | |
const Point_2 & | target () const |
returns the target point of the arc. More... | |
Algebraic_real_1 | target_x () const |
returns the \( x\)-coordinate of the target point. More... | |
Arr_parameter_space | left_parameter_space_in_x () const |
returns whether the \( x\)-coordinate of the left curve end is finite or whether it is \( \pm\infty\). | |
Arr_parameter_space | left_parameter_space_in_y () const |
returns whether the \( y\)-coordinate of the left curve end is finite or whether it is \( \pm\infty\). | |
const Point_2 & | left () const |
returns the left point of the arc. More... | |
Algebraic_real_1 | left_x () const |
returns the \( x\)-coordinate of the left point. More... | |
Arr_parameter_space | right_parameter_space_in_x () const |
returns whether the \( x\)-coordinate of the right curve end is finite or whether it is \( \pm\infty\). | |
Arr_parameter_space | right_parameter_space_in_y () const |
returns whether the \( y\)-coordinate of the right curve end is finite or whether it is \( \pm\infty\). | |
const Point_2 & | right () const |
returns the right point of the arc. More... | |
Algebraic_real_1 | right_x () const |
returns the \( x\)-coordinate of the right point. More... | |
bool | is_left_to_right () const |
returns whether the curve is oriented from left to right. | |
const Point_2& CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::X_monotone_curve_2::left | ( | ) | const |
returns the left point of the arc.
Algebraic_real_1 CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::X_monotone_curve_2::left_x | ( | ) | const |
returns the \( x\)-coordinate of the left point.
const Point_2& CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::X_monotone_curve_2::right | ( | ) | const |
returns the right point of the arc.
Algebraic_real_1 CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::X_monotone_curve_2::right_x | ( | ) | const |
returns the \( x\)-coordinate of the right point.
const Point_2& CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::X_monotone_curve_2::source | ( | ) | const |
returns the source point of the arc.
Algebraic_real_1 CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::X_monotone_curve_2::source_x | ( | ) | const |
returns the \( x\)-coordinate of the source point.
const Point_2& CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::X_monotone_curve_2::target | ( | ) | const |
returns the target point of the arc.
Algebraic_real_1 CGAL::Arr_rational_function_traits_2< AlgebraicKernel_d_1 >::X_monotone_curve_2::target_x | ( | ) | const |
returns the \( x\)-coordinate of the target point.