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18 * @file ClosedIntegerHalfPlane.ih
19 * @author Jacques-Olivier Lachaud (\c jacques-olivier.lachaud@univ-savoie.fr )
20 * Laboratory of Mathematics (CNRS, UMR 5127), University of Savoie, France
24 * Implementation of inline methods defined in ClosedIntegerHalfPlane.h
26 * This file is part of the DGtal library.
30//////////////////////////////////////////////////////////////////////////////
32//////////////////////////////////////////////////////////////////////////////
34///////////////////////////////////////////////////////////////////////////////
35// IMPLEMENTATION of inline methods.
36///////////////////////////////////////////////////////////////////////////////
38///////////////////////////////////////////////////////////////////////////////
39// ----------------------- Standard services ------------------------------
41//-----------------------------------------------------------------------------
42template <typename TSpace>
44DGtal::ClosedIntegerHalfPlane<TSpace>::~ClosedIntegerHalfPlane()
46//-----------------------------------------------------------------------------
47template <typename TSpace>
49DGtal::ClosedIntegerHalfPlane<TSpace>::
50ClosedIntegerHalfPlane( const Vector & aN, const Integer & aC )
53//-----------------------------------------------------------------------------
54template <typename TSpace>
57DGtal::ClosedIntegerHalfPlane<TSpace>::
58operator()( const Point & p ) const
60 return N.dot( p ) <= c;
62//-----------------------------------------------------------------------------
63template <typename TSpace>
66DGtal::ClosedIntegerHalfPlane<TSpace>::
67isOnBoundary( const Point & p ) const
69 return N.dot( p ) == c;
71//-----------------------------------------------------------------------------
72template <typename TSpace>
74typename DGtal::ClosedIntegerHalfPlane<TSpace>::Vector
75DGtal::ClosedIntegerHalfPlane<TSpace>::
78 return Vector( -N[ 1 ], N[ 0 ] );
80//-----------------------------------------------------------------------------
81template <typename TSpace>
84DGtal::ClosedIntegerHalfPlane<TSpace>::
87 N.negate(); // = Point( -N[ 0 ], -N[ 1 ] );
90//-----------------------------------------------------------------------------
91//-----------------------------------------------------------------------------
92template <typename TSpace>
94DGtal::ClosedIntegerHalfPlane<TSpace>::
95ClosedIntegerHalfPlane( const Point & A, const Point & B,
96 const Point & inP, IntegerComputer<Integer> & ic )
98 N[ 0 ] = A[ 1 ] - B[ 1 ];
99 N[ 1 ] = B[ 0 ] - A[ 0 ];
100 ic.getDotProduct( c, N, A );
102 ic.getDotProduct( c1, N, inP );
108 //simplification of the constraint
109 Integer g = ic.gcd( N[ 0 ], N[ 1 ] );
114///////////////////////////////////////////////////////////////////////////////
115// Interface - public :
118 * Writes/Displays the object on an output stream.
119 * @param out the output stream where the object is written.
121template <typename TSpace>
124DGtal::ClosedIntegerHalfPlane<TSpace>::selfDisplay ( std::ostream & out ) const
126 out << "[ClosedIntegerHalfPlane N=" << N << " c=" << c << " ]";
130 * Checks the validity/consistency of the object.
131 * @return 'true' if the object is valid, 'false' otherwise.
133template <typename TSpace>
136DGtal::ClosedIntegerHalfPlane<TSpace>::isValid() const
143///////////////////////////////////////////////////////////////////////////////
144// Implementation of inline functions //
146template <typename TSpace>
149DGtal::operator<< ( std::ostream & out,
150 const ClosedIntegerHalfPlane<TSpace> & object )
152 object.selfDisplay( out );
157///////////////////////////////////////////////////////////////////////////////