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/usr/include/bullet/BulletCollision/Gimpact/btClipPolygon.h is in libbullet-dev 2.87+dfsg-2.

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#ifndef BT_CLIP_POLYGON_H_INCLUDED
#define BT_CLIP_POLYGON_H_INCLUDED

/*! \file btClipPolygon.h
\author Francisco Leon Najera
*/
/*
This source file is part of GIMPACT Library.

For the latest info, see http://gimpact.sourceforge.net/

Copyright (c) 2007 Francisco Leon Najera. C.C. 80087371.
email: projectileman@yahoo.com


This software is provided 'as-is', without any express or implied warranty.
In no event will the authors be held liable for any damages arising from the use of this software.
Permission is granted to anyone to use this software for any purpose,
including commercial applications, and to alter it and redistribute it freely,
subject to the following restrictions:

1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required.
2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software.
3. This notice may not be removed or altered from any source distribution.
*/

#include "LinearMath/btTransform.h"
#include "LinearMath/btGeometryUtil.h"


SIMD_FORCE_INLINE btScalar bt_distance_point_plane(const btVector4 & plane,const btVector3 &point)
{
	return point.dot(plane) - plane[3];
}

/*! Vector blending
Takes two vectors a, b, blends them together*/
SIMD_FORCE_INLINE void bt_vec_blend(btVector3 &vr, const btVector3 &va,const btVector3 &vb, btScalar blend_factor)
{
	vr = (1-blend_factor)*va + blend_factor*vb;
}

//! This function calcs the distance from a 3D plane
SIMD_FORCE_INLINE void bt_plane_clip_polygon_collect(
						const btVector3 & point0,
						const btVector3 & point1,
						btScalar dist0,
						btScalar dist1,
						btVector3 * clipped,
						int & clipped_count)
{
	bool _prevclassif = (dist0>SIMD_EPSILON);
	bool _classif = (dist1>SIMD_EPSILON);
	if(_classif!=_prevclassif)
	{
		btScalar blendfactor = -dist0/(dist1-dist0);
		bt_vec_blend(clipped[clipped_count],point0,point1,blendfactor);
		clipped_count++;
	}
	if(!_classif)
	{
		clipped[clipped_count] = point1;
		clipped_count++;
	}
}


//! Clips a polygon by a plane
/*!
*\return The count of the clipped counts
*/
SIMD_FORCE_INLINE int bt_plane_clip_polygon(
						const btVector4 & plane,
						const btVector3 * polygon_points,
						int polygon_point_count,
						btVector3 * clipped)
{
    int clipped_count = 0;


    //clip first point
	btScalar firstdist = bt_distance_point_plane(plane,polygon_points[0]);;
	if(!(firstdist>SIMD_EPSILON))
	{
		clipped[clipped_count] = polygon_points[0];
		clipped_count++;
	}

	btScalar olddist = firstdist;
	for(int i=1;i<polygon_point_count;i++)
	{
		btScalar dist = bt_distance_point_plane(plane,polygon_points[i]);

		bt_plane_clip_polygon_collect(
						polygon_points[i-1],polygon_points[i],
						olddist,
						dist,
						clipped,
						clipped_count);


		olddist = dist;
	}

	//RETURN TO FIRST  point

	bt_plane_clip_polygon_collect(
					polygon_points[polygon_point_count-1],polygon_points[0],
					olddist,
					firstdist,
					clipped,
					clipped_count);

	return clipped_count;
}

//! Clips a polygon by a plane
/*!
*\param clipped must be an array of 16 points.
*\return The count of the clipped counts
*/
SIMD_FORCE_INLINE int bt_plane_clip_triangle(
						const btVector4 & plane,
						const btVector3 & point0,
						const btVector3 & point1,
						const btVector3& point2,
						btVector3 * clipped // an allocated array of 16 points at least
						)
{
    int clipped_count = 0;

    //clip first point0
	btScalar firstdist = bt_distance_point_plane(plane,point0);;
	if(!(firstdist>SIMD_EPSILON))
	{
		clipped[clipped_count] = point0;
		clipped_count++;
	}

	// point 1
	btScalar olddist = firstdist;
	btScalar dist = bt_distance_point_plane(plane,point1);

	bt_plane_clip_polygon_collect(
					point0,point1,
					olddist,
					dist,
					clipped,
					clipped_count);

	olddist = dist;


	// point 2
	dist = bt_distance_point_plane(plane,point2);

	bt_plane_clip_polygon_collect(
					point1,point2,
					olddist,
					dist,
					clipped,
					clipped_count);
	olddist = dist;



	//RETURN TO FIRST  point0
	bt_plane_clip_polygon_collect(
					point2,point0,
					olddist,
					firstdist,
					clipped,
					clipped_count);

	return clipped_count;
}





#endif // GIM_TRI_COLLISION_H_INCLUDED