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CGAL 6.0 - 2D and 3D Linear Geometry Kernel
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Operations | |
A model of this concept must provide: | |
| Comparison_result | operator() (const Kernel::Point_2 &p, const Kernel::Line_2 &h) |
compares the \( y\)-coordinates of p and the vertical projection of p on h. | |
| Comparison_result | operator() (const Kernel::Point_2 &p, const Kernel::Line_2 &h1, const Kernel::Line_2 &h2) |
This function compares the y-coordinates of the vertical projection of p on h1 and on h2. | |
| Comparison_result | operator() (const Kernel::Line_2 &l1, const Kernel::Line_2 &l2, const Kernel::Line_2 &h) |
Let p be the intersection of lines l1 and l2. | |
| Comparison_result | operator() (const Kernel::Line_2 &l1, const Kernel::Line_2 &l2, const Kernel::Line_2 &h1, const Kernel::Line_2 &h2) |
Let p be the intersection of lines l1 and l2. | |
| Comparison_result | operator() (const Kernel::Point_2 &p, const Kernel::Segment_2 &s) |
compares the y-coordinates of p and the vertical projection of p on s. | |
| Comparison_result | operator() (const Kernel::Point_2 &p, const Kernel::Segment_2 &s1, const Kernel::Segment_2 &s2) |
This function compares the \( y\)-coordinates of the vertical projection of p on s1 and on s2. | |
| Comparison_result Kernel::CompareYAtX_2::operator() | ( | const Kernel::Line_2 & | l1, |
| const Kernel::Line_2 & | l2, | ||
| const Kernel::Line_2 & | h | ||
| ) |
Let p be the intersection of lines l1 and l2.
This function compares the \( y\)-coordinates of p and the vertical projection of p on h. See (Figure fig-compare2 (f)).
l1, l2 intersect and h is not vertical. | Comparison_result Kernel::CompareYAtX_2::operator() | ( | const Kernel::Line_2 & | l1, |
| const Kernel::Line_2 & | l2, | ||
| const Kernel::Line_2 & | h1, | ||
| const Kernel::Line_2 & | h2 | ||
| ) |
Let p be the intersection of lines l1 and l2.
This function compares the y-coordinates of the vertical projection of p on h1 and on h2. See (Figure fig-compare2 (g)).
l1 and l2 intersect; h1 and h2 are not vertical. | Comparison_result Kernel::CompareYAtX_2::operator() | ( | const Kernel::Point_2 & | p, |
| const Kernel::Line_2 & | h | ||
| ) |
compares the \( y\)-coordinates of p and the vertical projection of p on h.
See Figure fig-compare2 (e).
h is not vertical. | Comparison_result Kernel::CompareYAtX_2::operator() | ( | const Kernel::Point_2 & | p, |
| const Kernel::Line_2 & | h1, | ||
| const Kernel::Line_2 & | h2 | ||
| ) |
This function compares the y-coordinates of the vertical projection of p on h1 and on h2.
See Figure fig-compare2 (e).
h1 and h2 are not vertical. | Comparison_result Kernel::CompareYAtX_2::operator() | ( | const Kernel::Point_2 & | p, |
| const Kernel::Segment_2 & | s | ||
| ) |
compares the y-coordinates of p and the vertical projection of p on s.
If s is vertical, then return CGAL::EQUAL when p lies on s, CGAL::SMALLER when p lies under s, and CGAL::LARGER otherwise.
p is within the x range of s. | Comparison_result Kernel::CompareYAtX_2::operator() | ( | const Kernel::Point_2 & | p, |
| const Kernel::Segment_2 & | s1, | ||
| const Kernel::Segment_2 & | s2 | ||
| ) |
This function compares the \( y\)-coordinates of the vertical projection of p on s1 and on s2.
If s1 or s2 is vertical, then return CGAL::EQUAL if they intersect, otherwise return CGAL::SMALLER if s1 lies below s2, and return CGAL::LARGER otherwise.
p is within the x range of s1 and s2.