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Comparison_result
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compare_dihedral_angle ( Point_3<K> a1, Point_3<K> b1, Point_3<K> c1, Point_3<K> d1, K::FT cosine)
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compares the dihedral angles  1 and 2, where
1 is the dihedral angle, in [0, π], of the tetrahedron
(a1, b1, c1, d1) at the edge (a1, b1), and 2 is
the angle in [0, π] such that cos(2) = cosine.
The result is the same as compare_dihedral_angle(b1-a1, c1-a1, d1-a1, cosine).
| Precondition: | a1, b1, c1 are not collinear,
and a1, b1, d1 are not collinear. |
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Comparison_result
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compares the dihedral angles 1 and 2, where
i is the dihedral angle in the tetrahedron (ai, bi,
ci, di) at the edge (ai, bi). These two angles are computed
in [0, π].
The result is the same as compare_dihedral_angle(b1-a1, c1-a1, d1-a1, b2-a2, c2-a2, d2-a2).
| Precondition: | For i ∈ {1,2}, ai, bi, ci are not collinear,
and ai, bi, di are not collinear. |
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Comparison_result
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compare_dihedral_angle ( K::Vector_3 u1, K::Vector_3 v1, K::Vector_3 w1, K::FT cosine)
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compares the dihedral angles 1 and 2, where
1 is the dihedral angle, in [0, π], between the
vectorial planes defined by (u1, v1) and (u1, w1), and
2 is the angle in [0, π] such that cos(2) =
cosine.
| Precondition: | u1 and v1 are not collinear,
and u1 and w1 are not collinear. |
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Comparison_result
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compares the dihedral angles 1 and 2, where
i is the dihedral angle between the vectorial planes
defined by (ui, vi) and (ui, wi). These two angles are
computed in [0, π].
| Precondition: | For i ∈ {1,2}, ui and vi are not collinear,
and ui and wi are not collinear. |
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