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## CGAL::Plane_separator<FT>

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### Definition

The class Plane_separator<FT> implements a plane separator, i.e., a hyperplane that is used to separate two half spaces. This hyperplane is defined by a cutting dimension d and a cutting value v as xd=v, where v denotes the dth coordinate value.

#include <CGAL/Plane_separator.h>

### Is Model for the Concept

SpatialSeparator

### Creation

Plane_separator<FT> s ( int d, FT v);
| Constructs a separator that separates two half spaces by a hyperplane defined by xd=v, where v denotes the dth coordinate value.
Plane_separator<FT> s ( p);
| Copy constructor.

### Operations

void | s.set_cutting_dimension ( int d)
|  | Sets the cutting dimension to d.
void | s.set_cutting_value ( FT v)
|  | Sets the cutting value to v.
int | s.cutting_dimension ()
|  | Returns the number of the cutting dimension.
FT | s.cutting_value () | Returns the cutting value.
template <class SpatialPoint>
bool | s.has_on_negative_side ( SpatialPoint p)
|  | Returns true if and only if the coordinate of p in the cutting dimension is smaller than the cutting value.
Plane_separator<FT>
| s = s2 | Assignment operator.

### Output Operators

template<class FT>
std::ostream& | std::ostream& os << s
|  | Inserts the plane separator s in the output stream os and returns os.

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The CGAL Project . Tue, December 21, 2004 .