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/usr/include/SFCGAL/algorithm/intersects.h is in libsfcgal-dev 1.2.2-1.

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/**
 *   SFCGAL
 *
 *   Copyright (C) 2012-2013 Oslandia <infos@oslandia.com>
 *   Copyright (C) 2012-2013 IGN (http://www.ign.fr)
 *
 *   This library is free software; you can redistribute it and/or
 *   modify it under the terms of the GNU Library General Public
 *   License as published by the Free Software Foundation; either
 *   version 2 of the License, or (at your option) any later version.
 *
 *   This library is distributed in the hope that it will be useful,
 *   but WITHOUT ANY WARRANTY; without even the implied warranty of
 *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 *   Library General Public License for more details.

 *   You should have received a copy of the GNU Library General Public
 *   License along with this library; if not, see <http://www.gnu.org/licenses/>.
 */

#ifndef SFCGAL_INTERSECTS_ALGORITHM
#define SFCGAL_INTERSECTS_ALGORITHM

#include <SFCGAL/config.h>

namespace SFCGAL {
class Geometry;
class LineString;
class PolyhedralSurface;
class TriangulatedSurface;
namespace detail {
template <int Dim> class GeometrySet;
template <int Dim> struct PrimitiveHandle;
}

namespace algorithm {
class SurfaceGraph;
// defined in isValid.h
struct NoValidityCheck;

/**
 * Robust intersection test on 2D geometries. Force projection to z=0 if needed
 * @pre ga and gb are valid geometries
 * @ingroup public_api
 */
SFCGAL_API bool intersects( const Geometry& ga, const Geometry& gb );

/**
 * Robust intersection test on 3D geometries. Assume z = 0 if needed
 * @pre ga and gb are valid geometries
 * @ingroup public_api
 */
SFCGAL_API bool intersects3D( const Geometry& ga, const Geometry& gb );

/**
 * Intersection test on 2D geometries. Force projection to z=0 if needed
 * @pre ga and gb are valid geometries
 * @ingroup detail
 * @warning the validity is assumed, no actual check is done
 */
SFCGAL_API bool intersects( const Geometry& ga, const Geometry& gb, NoValidityCheck );

/**
 * Intersection test on 3D geometries. Assume z = 0 if needed
 * @pre ga and gb are valid geometries
 * @ingroup detail
 * @warning the validity is assumed, no actual check is done
 */
SFCGAL_API bool intersects3D( const Geometry& ga, const Geometry& gb, NoValidityCheck );

/**
 * Intersection test on GeometrySet
 * @ingroup detail
 */
template <int Dim>
bool intersects( const detail::GeometrySet<Dim>& a, const detail::GeometrySet<Dim>& b );

/**
 * Intersection test on a PrimitiveHandle
 * @ingroup detail
 */
template <int Dim>
bool intersects( const detail::PrimitiveHandle<Dim>& a, const detail::PrimitiveHandle<Dim>& b );

/**
 * Self intersection test for 2D LineString (false if only endpoint touch)
 * @ingroup detail
 */
bool selfIntersects( const LineString& l );

/**
 * Self intersection test for 3D LineString (false if only endpoints touch)
 * @ingroup detail
 */
bool selfIntersects3D( const LineString& l );

/**
 * Self intersection test for 2D PolyhedralSurface (false if only point touch)
 * @ingroup detail
 */
bool selfIntersects( const PolyhedralSurface& s, const SurfaceGraph& g );

/**
 * Self intersection test for 3D PolyhedralSurface (false if only point touch)
 * @ingroup detail
 */

bool selfIntersects3D( const PolyhedralSurface& s, const SurfaceGraph& g );

/**
 * Self intersection test for 2D TriangulatedSurface (false if only point touch)
 * @ingroup detail
 */
bool selfIntersects( const TriangulatedSurface& s, const SurfaceGraph& g );

/**
 * Self intersection test for 3D TriangulatedSurface (false if only point touch)
 * @ingroup detail
 */
bool selfIntersects3D( const TriangulatedSurface& s, const SurfaceGraph& g );
}
}
#endif