GuDistancePointTetrahedron.h

qt/qtquick3dphysics/src/3rdparty/PhysX/source/geomutils/include/GuDistancePointTetrahedron.h

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// Copyright (c) 2001-2004 NovodeX AG. All rights reserved.

// Copyright (c) 2004-2008 AGEIA Technologies, Inc. All rights reserved.

// SPDX-FileCopyrightText: Copyright (c) 2008-2026 NVIDIA CORPORATION & AFFILIATES. All rights reserved.

// SPDX-License-Identifier: Apache-2.0

#ifndef GU_DISTANCE_POINT_TETRAHEDRON_H

#define GU_DISTANCE_POINT_TETRAHEDRON_H

#include "foundation/PxVec3.h"

#include "foundation/PxVec4.h"

#include "common/PxPhysXCommonConfig.h"

#include "GuDistancePointTriangle.h"

#include "foundation/PxMathUtils.h"

namespace physx

	namespace Gu

		PX_INLINE PX_CUDA_CALLABLE PxVec4 PointOutsideOfPlane4(const PxVec3& p, const PxVec3& _a, const PxVec3& _b,

			const PxVec3& _c, const PxVec3& _d)

			const PxVec3 ap = p - _a;

			const PxVec3 ab = _b - _a;

			const PxVec3 ac = _c - _a;

			const PxVec3 ad = _d - _a;

			const PxVec3 v0 = ab.cross(ac);

			const float signa0 = v0.dot(ap);

			const float signd0 = v0.dot(ad);// V3Dot(v0, _d);

			const PxVec3 v1 = ac.cross(ad);

			const float signa1 = v1.dot(ap);

			const float signd1 = v1.dot(ab);

			const PxVec3 v2 = ad.cross(ab);

			const float signa2 = v2.dot(ap);

			const float signd2 = v2.dot(ac);// V3Dot(v2, _c);

			const PxVec3 bd = _d - _b;

			const PxVec3 bc = _c - _b;

			const PxVec3 v3 = bd.cross(bc);

			const float signd3 = v3.dot(p - _b);

			const float signa3 = v3.dot(_a - _b);

			//if combined signDist is least zero, p is outside of that face

			PxVec4 result = PxVec4(signa0 * signd0, signa1 * signd1, signa2 * signd2, signa3 * signd3);

			return result;

		PX_PHYSX_COMMON_API PxVec3 closestPtPointTetrahedron(const PxVec3& p, const PxVec3& a, const PxVec3& b, const PxVec3& c, const PxVec3& d, const PxVec4& result);

		PX_INLINE PX_CUDA_CALLABLE PxVec3 closestPtPointTetrahedron(const PxVec3& p, const PxVec3& a, const PxVec3& b, const PxVec3& c, const PxVec3& d)

			const PxVec3 ab = b - a;

			const PxVec3 ac = c - a;

			const PxVec3 ad = d - a;

			const PxVec3 bc = c - b;

			const PxVec3 bd = d - b;

			//point to face 0, 1, 2

			PxVec3 bestClosestPt = closestPtPointTriangle2(p, a, b, c, ab, ac);

			PxVec3 diff = bestClosestPt - p;

			PxReal bestSqDist = diff.dot(diff);

			// 0, 2, 3

			PxVec3 closestPt = closestPtPointTriangle2(p, a, c, d, ac, ad);

			diff = closestPt - p;

			PxReal sqDist = diff.dot(diff);

			if (sqDist < bestSqDist)

				bestClosestPt = closestPt;

				bestSqDist = sqDist;

			// 0, 3, 1

			closestPt = closestPtPointTriangle2(p, a, d, b, ad, ab);

			diff = closestPt - p;

			sqDist = diff.dot(diff);

			if (sqDist < bestSqDist)

				bestClosestPt = closestPt;

				bestSqDist = sqDist;

			// 1, 3, 2

			closestPt = closestPtPointTriangle2(p, b, d, c, bd, bc);

			diff = closestPt - p;

			sqDist = diff.dot(diff);

			if (sqDist < bestSqDist)

				bestClosestPt = closestPt;

				bestSqDist = sqDist;

			return bestClosestPt;

		PX_INLINE PX_CUDA_CALLABLE PxVec3 closestPtPointTetrahedronWithInsideCheck(const PxVec3& p, const PxVec3& a, const PxVec3& b, const PxVec3& c, const PxVec3& d, const PxReal eps = 0)

			PxVec4 tmpBarycentric;

			PxComputeBarycentric(a, b, c, d, p, tmpBarycentric);

			if ((tmpBarycentric.x >= -eps && tmpBarycentric.x <= 1.f + eps) && (tmpBarycentric.y >= -eps && tmpBarycentric.y <= 1.f + eps) &&

				(tmpBarycentric.z >= -eps && tmpBarycentric.z <= 1.f + eps) && (tmpBarycentric.w >= -eps && tmpBarycentric.w <= 1.f + eps))

				return p;

			return closestPtPointTetrahedron(p, a, b, c, d);

#endif