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// This code contains NVIDIA Confidential Information and is disclosed to you
// under a form of NVIDIA software license agreement provided separately to you.
//
// Notice
// NVIDIA Corporation and its licensors retain all intellectual property and
// proprietary rights in and to this software and related documentation and
// any modifications thereto. Any use, reproduction, disclosure, or
// distribution of this software and related documentation without an express
// license agreement from NVIDIA Corporation is strictly prohibited.
//
// ALL NVIDIA DESIGN SPECIFICATIONS, CODE ARE PROVIDED "AS IS.". NVIDIA MAKES
// NO WARRANTIES, EXPRESSED, IMPLIED, STATUTORY, OR OTHERWISE WITH RESPECT TO
// THE MATERIALS, AND EXPRESSLY DISCLAIMS ALL IMPLIED WARRANTIES OF NONINFRINGEMENT,
// MERCHANTABILITY, AND FITNESS FOR A PARTICULAR PURPOSE.
//
// Information and code furnished is believed to be accurate and reliable.
// However, NVIDIA Corporation assumes no responsibility for the consequences of use of such
// information or for any infringement of patents or other rights of third parties that may
// result from its use. No license is granted by implication or otherwise under any patent
// or patent rights of NVIDIA Corporation. Details are subject to change without notice.
// This code supersedes and replaces all information previously supplied.
// NVIDIA Corporation products are not authorized for use as critical
// components in life support devices or systems without express written approval of
// NVIDIA Corporation.
//
// Copyright (c) 2008-2018 NVIDIA Corporation. All rights reserved.
// Copyright (c) 2004-2008 AGEIA Technologies, Inc. All rights reserved.
// Copyright (c) 2001-2004 NovodeX AG. All rights reserved.
#include "GuIntersectionEdgeEdge.h"
#include "PsMathUtils.h"
#include "CmPhysXCommon.h"
using namespace physx;
bool Gu::intersectEdgeEdge(const PxVec3& p1, const PxVec3& p2, const PxVec3& dir, const PxVec3& p3, const PxVec3& p4, PxReal& dist, PxVec3& ip)
{
const PxVec3 v1 = p2 - p1;
// Build plane P based on edge (p1, p2) and direction (dir)
PxPlane plane;
plane.n = v1.cross(dir);
plane.d = -(plane.n.dot(p1));
// if colliding edge (p3,p4) does not cross plane return no collision
// same as if p3 and p4 on same side of plane return 0
//
// Derivation:
// d3 = d(p3, P) = (p3 | plane.n) - plane.d; Reversed sign compared to Plane::Distance() because plane.d is negated.
// d4 = d(p4, P) = (p4 | plane.n) - plane.d; Reversed sign compared to Plane::Distance() because plane.d is negated.
// if d3 and d4 have the same sign, they're on the same side of the plane => no collision
// We test both sides at the same time by only testing Sign(d3 * d4).
// ### put that in the Plane class
// ### also check that code in the triangle class that might be similar
const PxReal d3 = plane.distance(p3);
PxReal temp = d3 * plane.distance(p4);
if(temp>0.0f) return false;
// if colliding edge (p3,p4) and plane are parallel return no collision
PxVec3 v2 = p4 - p3;
temp = plane.n.dot(v2);
if(temp==0.0f) return false; // ### epsilon would be better
// compute intersection point of plane and colliding edge (p3,p4)
ip = p3-v2*(d3/temp);
// find largest 2D plane projection
PxU32 i,j;
Ps::closestAxis(plane.n, i, j);
// compute distance of intersection from line (ip, -dir) to line (p1,p2)
dist = (v1[i]*(ip[j]-p1[j])-v1[j]*(ip[i]-p1[i]))/(v1[i]*dir[j]-v1[j]*dir[i]);
if(dist<0.0f) return false;
// compute intersection point on edge (p1,p2) line
ip -= dist*dir;
// check if intersection point (ip) is between edge (p1,p2) vertices
temp = (p1.x-ip.x)*(p2.x-ip.x)+(p1.y-ip.y)*(p2.y-ip.y)+(p1.z-ip.z)*(p2.z-ip.z);
if(temp<1e-3f) return true; // collision found
return false; // no collision
}
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