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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 //-----------------------------------------------------------------------------
42 template <typename TSpace>
44 DGtal::ClosedIntegerHalfPlane<TSpace>::~ClosedIntegerHalfPlane()
46 //-----------------------------------------------------------------------------
47 template <typename TSpace>
49 DGtal::ClosedIntegerHalfPlane<TSpace>::
50 ClosedIntegerHalfPlane( const Vector & aN, const Integer & aC )
53 //-----------------------------------------------------------------------------
54 template <typename TSpace>
57 DGtal::ClosedIntegerHalfPlane<TSpace>::
58 operator()( const Point & p ) const
60 return N.dot( p ) <= c;
62 //-----------------------------------------------------------------------------
63 template <typename TSpace>
66 DGtal::ClosedIntegerHalfPlane<TSpace>::
67 isOnBoundary( const Point & p ) const
69 return N.dot( p ) == c;
71 //-----------------------------------------------------------------------------
72 template <typename TSpace>
74 typename DGtal::ClosedIntegerHalfPlane<TSpace>::Vector
75 DGtal::ClosedIntegerHalfPlane<TSpace>::
78 return Vector( -N[ 1 ], N[ 0 ] );
80 //-----------------------------------------------------------------------------
81 template <typename TSpace>
84 DGtal::ClosedIntegerHalfPlane<TSpace>::
87 N.negate(); // = Point( -N[ 0 ], -N[ 1 ] );
90 //-----------------------------------------------------------------------------
91 //-----------------------------------------------------------------------------
92 template <typename TSpace>
94 DGtal::ClosedIntegerHalfPlane<TSpace>::
95 ClosedIntegerHalfPlane( 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.
121 template <typename TSpace>
124 DGtal::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.
133 template <typename TSpace>
136 DGtal::ClosedIntegerHalfPlane<TSpace>::isValid() const
143 ///////////////////////////////////////////////////////////////////////////////
144 // Implementation of inline functions //
146 template <typename TSpace>
149 DGtal::operator<< ( std::ostream & out,
150 const ClosedIntegerHalfPlane<TSpace> & object )
152 object.selfDisplay( out );
157 ///////////////////////////////////////////////////////////////////////////////