CGAL 5.6.3 - 2D and 3D Linear Geometry Kernel

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Kernel::CompareAngle_3 Concept Reference
2D and 3D Linear Geometry Kernel Reference » Concepts » Kernel Function Object Concepts

## Definition

## Operations
A model of this concept must provide:
Comparison_result | operator() (const K::Point_3 &a, const K::Point_3 &b, const K::Point_3 &c, const K::FT &cosine)
| compares the angles \( \theta_1\) and \( \theta_2\), where \( \theta_1\) is the angle in \( [0, \pi]\) of the triangle \( (a, b, c)\) at the vertex `b`, and \( \theta_2\) is the angle in \( [0, \pi]\) such that \( cos(\theta_2) = cosine\).

## Member Function Documentation

## ◆ operator()()

Comparison_result Kernel::CompareAngle_3::operator() | ( | const K::Point_3 & | a,
|  | const K::Point_3 & | b,
|  | const K::Point_3 & | c,
|  | const K::FT & | cosine
| ) |  |

compares the angles \( \theta_1\) and \( \theta_2\), where \( \theta_1\) is the angle in \( [0, \pi]\) of the triangle \( (a, b, c)\) at the vertex `b`, and \( \theta_2\) is the angle in \( [0, \pi]\) such that \( cos(\theta_2) = cosine\).

Precondition
  `a!=b && c!=b`.