compares the dihedral angles $\theta_1$ and $\theta_2$, where $\theta_1$ is the dihedral angle, in $[0, \pi]$, of the tetrahedron (a_1, b_1, c_1, d_1)at the edge (a_1, b_1), and $\theta_2$ is the angle in $[0, \pi]$ such that $cos(\theta_2) = cosine$.

The result is the same as compare_dihedral_angle(b1-a1, c1-a1, d1-a1, cosine).

Precondition

a_1, b_1, c_1 are not collinear, and a_1, b_1, d_1 are not collinear.

#include <CGAL/global_functions.h>

compares the dihedral angles $\theta_1$ and $\theta_2$, where $\theta_i$ is the dihedral angle in the tetrahedron (a_i, b_i, c_i, d_i)at the edge (a_i, b_i).

These two angles are computed in $[0, \pi]$. The result is the same as compare_dihedral_angle(b1-a1, c1-a1, d1-a1, b2-a2, c2-a2, d2-a2).

Precondition

For $i \in\{1,2\}$, a_i, b_i, c_i are not collinear, and a_i, b_i, d_i are not collinear.

#include <CGAL/global_functions.h>

compares the dihedral angles $\theta_1$ and $\theta_2$, where $\theta_1$ is the dihedral angle, in $[0, \pi]$, between the vectorial planes defined by (u_1, v_1) and (u_1, w_1), and $\theta_2$ is the angle in $[0, \pi]$ such that $cos(\theta_2) = cosine$.

Precondition

u_1 and v_1 are not collinear, and u_1 and w_1 are not collinear.

#include <CGAL/global_functions.h>

compares the dihedral angles $\theta_1$ and $\theta_2$, where $\theta_i$ is the dihedral angle between the vectorial planes defined by (u_i, v_i) and (u_i, w_i).

These two angles are computed in $[0, \pi]$.

Precondition

For $i \in\{1,2\}$, u_i and v_i are not collinear, and u_i and w_i are not collinear.

#include <CGAL/global_functions.h>