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XCEngine/engine/third_party/physx/source/geomutils/src/cooking/GuCookingConvexHullUtils.cpp

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// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions
// are met:
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
// * Neither the name of NVIDIA CORPORATION nor the names of its
// contributors may be used to endorse or promote products derived
// from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ''AS IS'' AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Copyright (c) 2008-2025 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 "foundation/PxBounds3.h"
#include "foundation/PxMathUtils.h"
#include "foundation/PxSIMDHelpers.h"
#include "GuCookingConvexHullUtils.h"
#include "GuCookingVolumeIntegration.h"
#include "foundation/PxUtilities.h"
#include "foundation/PxVecMath.h"
#include "GuBox.h"
#include "GuConvexMeshData.h"
using namespace physx;
using namespace aos;
using namespace Gu;
namespace local
{
static const float MIN_ADJACENT_ANGLE = 3.0f; // in degrees - result wont have two adjacent facets within this angle of each other.
static const float MAXDOT_MINANG = cosf(PxDegToRad(MIN_ADJACENT_ANGLE)); // adjacent angle for dot product tests
//////////////////////////////////////////////////////////////////////////
// helper class for ConvexHullCrop
class VertFlag
{
public:
PxU8 planetest;
PxU8 undermap;
PxU8 overmap;
};
//////////////////////////////////////////////////////////////////////////|
// helper class for ConvexHullCrop
class EdgeFlag
{
public:
PxI16 undermap;
};
//////////////////////////////////////////////////////////////////////////|
// helper class for ConvexHullCrop
class Coplanar
{
public:
PxU16 ea;
PxU8 v0;
PxU8 v1;
};
//////////////////////////////////////////////////////////////////////////
// plane test
enum PlaneTestResult
{
eCOPLANAR = 0,
eUNDER = 1 << 0,
eOVER = 1 << 1
};
//////////////////////////////////////////////////////////////////////////
// test where vertex lies in respect to the plane
static PlaneTestResult planeTest(const PxPlane& p, const PxVec3& v, float epsilon)
{
const float a = v.dot(p.n) + p.d;
PlaneTestResult flag = (a > epsilon) ? eOVER : ((a < -epsilon) ? eUNDER : eCOPLANAR);
return flag;
}
// computes the OBB for this set of points relative to this transform matrix. SIMD version
void computeOBBSIMD(PxU32 vcount, const Vec4V* points, Vec4V& sides, const QuatV& rot, Vec4V& trans)
{
PX_ASSERT(vcount);
Vec4V minV = V4Load(PX_MAX_F32);
Vec4V maxV = V4Load(-PX_MAX_F32);
for (PxU32 i = 0; i < vcount; i++)
{
const Vec4V& vertexV = points[i];
const Vec4V t = V4Sub(vertexV, trans);
const Vec4V v = Vec4V_From_Vec3V(QuatRotateInv(rot, Vec3V_From_Vec4V(t)));
minV = V4Min(minV, v);
maxV = V4Max(maxV, v);
}
sides = V4Sub(maxV, minV);
Mat33V tmpMat;
QuatGetMat33V(rot, tmpMat.col0, tmpMat.col1, tmpMat.col2);
const FloatV coe = FLoad(0.5f);
const Vec4V deltaVec = V4Sub(maxV, V4Scale(sides, coe));
const Vec4V t0 = V4Scale(Vec4V_From_Vec3V(tmpMat.col0), V4GetX(deltaVec));
trans = V4Add(trans, t0);
const Vec4V t1 = V4Scale(Vec4V_From_Vec3V(tmpMat.col1), V4GetY(deltaVec));
trans = V4Add(trans, t1);
const Vec4V t2 = V4Scale(Vec4V_From_Vec3V(tmpMat.col2), V4GetZ(deltaVec));
trans = V4Add(trans, t2);
}
}
//////////////////////////////////////////////////////////////////////////
// construct the base cube from given min/max
ConvexHull::ConvexHull(const PxVec3& bmin, const PxVec3& bmax, const PxArray<PxPlane>& inPlanes) : mInputPlanes(inPlanes)
{
// min max verts of the cube - 8 verts
mVertices.pushBack(PxVec3(bmin.x, bmin.y, bmin.z)); // ---
mVertices.pushBack(PxVec3(bmin.x, bmin.y, bmax.z)); // --+
mVertices.pushBack(PxVec3(bmin.x, bmax.y, bmin.z)); // -+-
mVertices.pushBack(PxVec3(bmin.x, bmax.y, bmax.z)); // -++
mVertices.pushBack(PxVec3(bmax.x, bmin.y, bmin.z)); // +--
mVertices.pushBack(PxVec3(bmax.x, bmin.y, bmax.z)); // +-+
mVertices.pushBack(PxVec3(bmax.x, bmax.y, bmin.z)); // ++-
mVertices.pushBack(PxVec3(bmax.x, bmax.y, bmax.z)); // +++
// cube planes - 6 planes
mFacets.pushBack(PxPlane(PxVec3(-1.f, 0, 0), bmin.x)); // 0,1,3,2
mFacets.pushBack(PxPlane(PxVec3(1.f, 0, 0), -bmax.x)); // 6,7,5,4
mFacets.pushBack(PxPlane(PxVec3(0, -1.f, 0), bmin.y)); // 0,4,5,1
mFacets.pushBack(PxPlane(PxVec3(0, 1.f, 0), -bmax.y)); // 3,7,6,2
mFacets.pushBack(PxPlane(PxVec3(0, 0, -1.f), bmin.z)); // 0,2,6,4
mFacets.pushBack(PxPlane(PxVec3(0, 0, 1.f), -bmax.z)); // 1,5,7,3
// cube edges - 24 edges
mEdges.pushBack(HalfEdge(11, 0, 0));
mEdges.pushBack(HalfEdge(23, 1, 0));
mEdges.pushBack(HalfEdge(15, 3, 0));
mEdges.pushBack(HalfEdge(16, 2, 0));
mEdges.pushBack(HalfEdge(13, 6, 1));
mEdges.pushBack(HalfEdge(21, 7, 1));
mEdges.pushBack(HalfEdge(9, 5, 1));
mEdges.pushBack(HalfEdge(18, 4, 1));
mEdges.pushBack(HalfEdge(19, 0, 2));
mEdges.pushBack(HalfEdge(6, 4, 2));
mEdges.pushBack(HalfEdge(20, 5, 2));
mEdges.pushBack(HalfEdge(0, 1, 2));
mEdges.pushBack(HalfEdge(22, 3, 3));
mEdges.pushBack(HalfEdge(4, 7, 3));
mEdges.pushBack(HalfEdge(17, 6, 3));
mEdges.pushBack(HalfEdge(2, 2, 3));
mEdges.pushBack(HalfEdge(3, 0, 4));
mEdges.pushBack(HalfEdge(14, 2, 4));
mEdges.pushBack(HalfEdge(7, 6, 4));
mEdges.pushBack(HalfEdge(8, 4, 4));
mEdges.pushBack(HalfEdge(10, 1, 5));
mEdges.pushBack(HalfEdge(5, 5, 5));
mEdges.pushBack(HalfEdge(12, 7, 5));
mEdges.pushBack(HalfEdge(1, 3, 5));
}
//////////////////////////////////////////////////////////////////////////
// create the initial convex hull from given OBB
ConvexHull::ConvexHull(const PxVec3& extent, const PxTransform& transform, const PxArray<PxPlane>& inPlanes) : mInputPlanes(inPlanes)
{
// get the OBB corner points
PxVec3 extentPoints[8];
const PxMat33Padded rot(transform.q);
Gu::computeOBBPoints(extentPoints, transform.p, extent, rot.column0, rot.column1, rot.column2);
mVertices.pushBack(PxVec3(extentPoints[0].x, extentPoints[0].y, extentPoints[0].z)); // ---
mVertices.pushBack(PxVec3(extentPoints[4].x, extentPoints[4].y, extentPoints[4].z)); // --+
mVertices.pushBack(PxVec3(extentPoints[3].x, extentPoints[3].y, extentPoints[3].z)); // -+-
mVertices.pushBack(PxVec3(extentPoints[7].x, extentPoints[7].y, extentPoints[7].z)); // -++
mVertices.pushBack(PxVec3(extentPoints[1].x, extentPoints[1].y, extentPoints[1].z)); // +--
mVertices.pushBack(PxVec3(extentPoints[5].x, extentPoints[5].y, extentPoints[5].z)); // +-+
mVertices.pushBack(PxVec3(extentPoints[2].x, extentPoints[2].y, extentPoints[2].z)); // ++-
mVertices.pushBack(PxVec3(extentPoints[6].x, extentPoints[6].y, extentPoints[6].z)); // +++
// cube planes - 6 planes
const PxPlane plane0(extentPoints[0], extentPoints[4], extentPoints[7]); // 0,1,3,2
mFacets.pushBack(PxPlane(plane0.n, plane0.d));
const PxPlane plane1(extentPoints[2], extentPoints[6], extentPoints[5]); // 6,7,5,4
mFacets.pushBack(PxPlane(plane1.n, plane1.d));
const PxPlane plane2(extentPoints[0], extentPoints[1], extentPoints[5]); // 0,4,5,1
mFacets.pushBack(PxPlane(plane2.n, plane2.d));
const PxPlane plane3(extentPoints[7], extentPoints[6], extentPoints[2]); // 3,7,6,2
mFacets.pushBack(PxPlane(plane3.n, plane3.d));
const PxPlane plane4(extentPoints[0], extentPoints[3], extentPoints[2]); // 0,2,6,4
mFacets.pushBack(PxPlane(plane4.n, plane4.d));
const PxPlane plane5(extentPoints[4], extentPoints[5], extentPoints[6]); // 1,5,7,3
mFacets.pushBack(PxPlane(plane5.n, plane5.d));
// cube edges - 24 edges
mEdges.pushBack(HalfEdge(11, 0, 0));
mEdges.pushBack(HalfEdge(23, 1, 0));
mEdges.pushBack(HalfEdge(15, 3, 0));
mEdges.pushBack(HalfEdge(16, 2, 0));
mEdges.pushBack(HalfEdge(13, 6, 1));
mEdges.pushBack(HalfEdge(21, 7, 1));
mEdges.pushBack(HalfEdge(9, 5, 1));
mEdges.pushBack(HalfEdge(18, 4, 1));
mEdges.pushBack(HalfEdge(19, 0, 2));
mEdges.pushBack(HalfEdge(6, 4, 2));
mEdges.pushBack(HalfEdge(20, 5, 2));
mEdges.pushBack(HalfEdge(0, 1, 2));
mEdges.pushBack(HalfEdge(22, 3, 3));
mEdges.pushBack(HalfEdge(4, 7, 3));
mEdges.pushBack(HalfEdge(17, 6, 3));
mEdges.pushBack(HalfEdge(2, 2, 3));
mEdges.pushBack(HalfEdge(3, 0, 4));
mEdges.pushBack(HalfEdge(14, 2, 4));
mEdges.pushBack(HalfEdge(7, 6, 4));
mEdges.pushBack(HalfEdge(8, 4, 4));
mEdges.pushBack(HalfEdge(10, 1, 5));
mEdges.pushBack(HalfEdge(5, 5, 5));
mEdges.pushBack(HalfEdge(12, 7, 5));
mEdges.pushBack(HalfEdge(1, 3, 5));
}
//////////////////////////////////////////////////////////////////////////
// finds the candidate plane, returns -1 otherwise
PxI32 ConvexHull::findCandidatePlane(float planeTestEpsilon, float epsilon) const
{
PxI32 p = -1;
float md = 0.0f;
PxU32 i, j;
for (i = 0; i < mInputPlanes.size(); i++)
{
float d = 0.0f;
float dmax = 0.0f;
float dmin = 0.0f;
for (j = 0; j < mVertices.size(); j++)
{
dmax = PxMax(dmax, mVertices[j].dot(mInputPlanes[i].n) + mInputPlanes[i].d);
dmin = PxMin(dmin, mVertices[j].dot(mInputPlanes[i].n) + mInputPlanes[i].d);
}
float dr = dmax - dmin;
if (dr < planeTestEpsilon)
dr = 1.0f; // shouldn't happen.
d = dmax / dr;
// we have a better candidate try another one
if (d <= md)
continue;
// check if we dont have already that plane or if the normals are nearly the same
for (j = 0; j<mFacets.size(); j++)
{
if (mInputPlanes[i] == mFacets[j])
{
d = 0.0f;
continue;
}
if (mInputPlanes[i].n.dot(mFacets[j].n)> local::MAXDOT_MINANG)
{
for (PxU32 k = 0; k < mEdges.size(); k++)
{
if (mEdges[k].p != j)
continue;
if (mVertices[mEdges[k].v].dot(mInputPlanes[i].n) + mInputPlanes[i].d < 0)
{
d = 0; // so this plane wont get selected.
break;
}
}
}
}
if (d>md)
{
p = PxI32(i);
md = d;
}
}
return (md > epsilon) ? p : -1;
}
//////////////////////////////////////////////////////////////////////////
// internal hull check
bool ConvexHull::assertIntact(float epsilon) const
{
PxU32 i;
PxU32 estart = 0;
for (i = 0; i < mEdges.size(); i++)
{
if (mEdges[estart].p != mEdges[i].p)
{
estart = i;
}
PxU32 inext = i + 1;
if (inext >= mEdges.size() || mEdges[inext].p != mEdges[i].p)
{
inext = estart;
}
PX_ASSERT(mEdges[inext].p == mEdges[i].p);
PxI16 nb = mEdges[i].ea;
if (nb == 255 || nb == -1)
return false;
PX_ASSERT(nb != -1);
PX_ASSERT(i == PxU32(mEdges[PxU32(nb)].ea));
// Check that the vertex of the next edge is the vertex of the adjacent half edge.
// Otherwise the two half edges are not really adjacent and we have a hole.
PX_ASSERT(mEdges[PxU32(nb)].v == mEdges[inext].v);
if (!(mEdges[PxU32(nb)].v == mEdges[inext].v))
return false;
}
for (i = 0; i < mEdges.size(); i++)
{
PX_ASSERT(local::eCOPLANAR == local::planeTest(mFacets[mEdges[i].p], mVertices[mEdges[i].v], epsilon));
if (local::eCOPLANAR != local::planeTest(mFacets[mEdges[i].p], mVertices[mEdges[i].v], epsilon))
return false;
if (mEdges[estart].p != mEdges[i].p)
{
estart = i;
}
PxU32 i1 = i + 1;
if (i1 >= mEdges.size() || mEdges[i1].p != mEdges[i].p) {
i1 = estart;
}
PxU32 i2 = i1 + 1;
if (i2 >= mEdges.size() || mEdges[i2].p != mEdges[i].p) {
i2 = estart;
}
if (i == i2)
continue; // i sliced tangent to an edge and created 2 meaningless edges
// check the face normal against the triangle from edges
PxVec3 localNormal = (mVertices[mEdges[i1].v] - mVertices[mEdges[i].v]).cross(mVertices[mEdges[i2].v] - mVertices[mEdges[i1].v]);
const float m = localNormal.magnitude();
if (m == 0.0f)
localNormal = PxVec3(1.f, 0.0f, 0.0f);
localNormal *= (1.0f / m);
if (localNormal.dot(mFacets[mEdges[i].p].n) <= 0.0f)
return false;
}
return true;
}
// returns the maximum number of vertices on a face
PxU32 ConvexHull::maxNumVertsPerFace() const
{
PxU32 maxVerts = 0;
PxU32 currentVerts = 0;
PxU32 estart = 0;
for (PxU32 i = 0; i < mEdges.size(); i++)
{
if (mEdges[estart].p != mEdges[i].p)
{
if(currentVerts > maxVerts)
{
maxVerts = currentVerts + 1;
}
currentVerts = 0;
estart = i;
}
else
{
currentVerts++;
}
}
return maxVerts;
}
//////////////////////////////////////////////////////////////////////////
// slice the input convexHull with the slice plane
ConvexHull* physx::convexHullCrop(const ConvexHull& convex, const PxPlane& slice, float planeTestEpsilon)
{
static const PxU8 invalidIndex = PxU8(-1);
PxU32 i;
PxU32 vertCountUnder = 0; // Running count of the vertices UNDER the slicing plane.
PX_ASSERT(convex.getEdges().size() < 480);
// Arrays of mapping information associated with features in the input convex.
// edgeflag[i].undermap - output index of input edge convex->edges[i]
// vertflag[i].undermap - output index of input vertex convex->vertices[i]
// vertflag[i].planetest - the side-of-plane classification of convex->vertices[i]
// (There are other members but they are unused.)
local::EdgeFlag edgeFlag[512];
local::VertFlag vertFlag[256];
// Lists of output features. Populated during clipping.
// Coplanar edges have one sibling in tmpunderedges and one in coplanaredges.
// coplanaredges holds the sibling that belong to the new polygon created from slicing.
ConvexHull::HalfEdge tmpUnderEdges[512]; // The output edge list.
PxPlane tmpUnderPlanes[128]; // The output plane list.
local::Coplanar coplanarEdges[512]; // The coplanar edge list.
PxU32 coplanarEdgesNum = 0; // Running count of coplanar edges.
// Created vertices on the slicing plane (stored for output after clipping).
PxArray<PxVec3> createdVerts;
// Logical OR of individual vertex flags.
PxU32 convexClipFlags = 0;
// Classify each vertex against the slicing plane as OVER | COPLANAR | UNDER.
// OVER - Vertex is over (outside) the slicing plane. Will not be output.
// COPLANAR - Vertex is on the slicing plane. A copy will be output.
// UNDER - Vertex is under (inside) the slicing plane. Will be output.
// We keep an array of information structures for each vertex in the input convex.
// vertflag[i].undermap - The (computed) index of convex->vertices[i] in the output.
// invalidIndex for OVER vertices - they are not output.
// initially invalidIndex for COPLANAR vertices - set later.
// vertflag[i].overmap - Unused - we don't care about the over part.
// vertflag[i].planetest - The classification (clip flag) of convex->vertices[i].
for (i = 0; i < convex.getVertices().size(); i++)
{
local::PlaneTestResult vertexClipFlag = local::planeTest(slice, convex.getVertices()[i], planeTestEpsilon);
switch (vertexClipFlag)
{
case local::eOVER:
case local::eCOPLANAR:
vertFlag[i].undermap = invalidIndex; // Initially invalid for COPLANAR
vertFlag[i].overmap = invalidIndex;
break;
case local::eUNDER:
vertFlag[i].undermap = PxTo8(vertCountUnder++);
vertFlag[i].overmap = invalidIndex;
break;
}
vertFlag[i].planetest = PxU8(vertexClipFlag);
convexClipFlags |= vertexClipFlag;
}
// Check special case: everything UNDER or COPLANAR.
// This way we know we wont end up with silly faces / edges later on.
if ((convexClipFlags & local::eOVER) == 0)
{
// Just return a copy of the same convex.
ConvexHull* dst = PX_NEW(ConvexHull)(convex);
return dst;
}
PxU16 underEdgeCount = 0; // Running count of output edges.
PxU16 underPlanesCount = 0; // Running count of output planes.
// Clipping Loop
// =============
//
// for each plane
//
// for each edge
//
// if first UNDER & second !UNDER
// output current edge -> tmpunderedges
// if we have done the sibling
// connect current edge to its sibling
// set vout = first vertex of sibling
// else if second is COPLANAR
// if we havent already copied it
// copy second -> createdverts
// set vout = index of created vertex
// else
// generate a new vertex -> createdverts
// set vout = index of created vertex
// if vin is already set and vin != vout (non-trivial edge)
// output coplanar edge -> tmpunderedges (one sibling)
// set coplanaredge to new edge index (for connecting the other sibling)
//
// else if first !UNDER & second UNDER
// if we have done the sibling
// connect current edge to its sibling
// set vin = second vertex of sibling (this is a bit of a pain)
// else if first is COPLANAR
// if we havent already copied it
// copy first -> createdverts
// set vin = index of created vertex
// else
// generate a new vertex -> createdverts
// set vin = index of created vertex
// if vout is already set and vin != vout (non-trivial edge)
// output coplanar edge -> tmpunderedges (one sibling)
// set coplanaredge to new edge index (for connecting the other sibling)
// output current edge -> tmpunderedges
//
// else if first UNDER & second UNDER
// output current edge -> tmpunderedges
//
// next edge
//
// if part of current plane was UNDER
// output current plane -> tmpunderplanes
//
// if coplanaredge is set
// output coplanar edge -> coplanaredges
//
// next plane
//
// Indexing is a bit tricky here:
//
// e0 - index of the current edge
// e1 - index of the next edge
// estart - index of the first edge in the current plane
// currentplane - index of the current plane
// enextface - first edge of next plane
PxU32 e0 = 0;
for (PxU32 currentplane = 0; currentplane < convex.getFacets().size(); currentplane++)
{
PxU32 eStart = e0;
PxU32 eNextFace = 0xffffffff;
PxU32 e1 = e0 + 1;
PxU8 vout = invalidIndex;
PxU8 vin = invalidIndex;
PxU32 coplanarEdge = invalidIndex;
// Logical OR of individual vertex flags in the current plane.
PxU32 planeSide = 0;
do{
// Next edge modulo logic
if (e1 >= convex.getEdges().size() || convex.getEdges()[e1].p != currentplane)
{
eNextFace = e1;
e1 = eStart;
}
const ConvexHull::HalfEdge& edge0 = convex.getEdges()[e0];
const ConvexHull::HalfEdge& edge1 = convex.getEdges()[e1];
const ConvexHull::HalfEdge& edgea = convex.getEdges()[PxU32(edge0.ea)];
planeSide |= vertFlag[edge0.v].planetest;
if (vertFlag[edge0.v].planetest == local::eUNDER && vertFlag[edge1.v].planetest != local::eUNDER)
{
// first is UNDER, second is COPLANAR or OVER
// Output current edge.
edgeFlag[e0].undermap = short(underEdgeCount);
tmpUnderEdges[underEdgeCount].v = vertFlag[edge0.v].undermap;
tmpUnderEdges[underEdgeCount].p = PxU8(underPlanesCount);
PX_ASSERT(tmpUnderEdges[underEdgeCount].v != invalidIndex);
if (PxU32(edge0.ea) < e0)
{
// We have already done the sibling.
// Connect current edge to its sibling.
PX_ASSERT(edgeFlag[edge0.ea].undermap != invalidIndex);
tmpUnderEdges[underEdgeCount].ea = edgeFlag[edge0.ea].undermap;
tmpUnderEdges[edgeFlag[edge0.ea].undermap].ea = short(underEdgeCount);
// Set vout = first vertex of (output, clipped) sibling.
vout = tmpUnderEdges[edgeFlag[edge0.ea].undermap].v;
}
else if (vertFlag[edge1.v].planetest == local::eCOPLANAR)
{
// Boundary case.
// We output coplanar vertices once.
if (vertFlag[edge1.v].undermap == invalidIndex)
{
createdVerts.pushBack(convex.getVertices()[edge1.v]);
// Remember the index so we don't output it again.
vertFlag[edge1.v].undermap = PxTo8(vertCountUnder++);
}
vout = vertFlag[edge1.v].undermap;
}
else
{
// Add new vertex.
const PxPlane& p0 = convex.getFacets()[edge0.p];
const PxPlane& pa = convex.getFacets()[edgea.p];
createdVerts.pushBack(threePlaneIntersection(p0, pa, slice));
vout = PxTo8(vertCountUnder++);
}
// We added an edge, increment the counter
underEdgeCount++;
if (vin != invalidIndex && vin != vout)
{
// We already have vin and a non-trivial edge
// Output coplanar edge
PX_ASSERT(vout != invalidIndex);
coplanarEdge = underEdgeCount;
tmpUnderEdges[underEdgeCount].v = vout;
tmpUnderEdges[underEdgeCount].p = PxU8(underPlanesCount);
tmpUnderEdges[underEdgeCount].ea = invalidIndex;
underEdgeCount++;
}
}
else if (vertFlag[edge0.v].planetest != local::eUNDER && vertFlag[edge1.v].planetest == local::eUNDER)
{
// First is OVER or COPLANAR, second is UNDER.
if (PxU32(edge0.ea) < e0)
{
// We have already done the sibling.
// We need the second vertex of the sibling.
// Which is the vertex of the next edge in the adjacent poly.
int nea = edgeFlag[edge0.ea].undermap + 1;
int p = tmpUnderEdges[edgeFlag[edge0.ea].undermap].p;
if (nea >= underEdgeCount || tmpUnderEdges[nea].p != p)
{
// End of polygon, next edge is first edge
nea -= 2;
while (nea > 0 && tmpUnderEdges[nea - 1].p == p)
nea--;
}
vin = tmpUnderEdges[nea].v;
PX_ASSERT(vin < vertCountUnder);
}
else if (vertFlag[edge0.v].planetest == local::eCOPLANAR)
{
// Boundary case.
// We output coplanar vertices once.
if (vertFlag[edge0.v].undermap == invalidIndex)
{
createdVerts.pushBack(convex.getVertices()[edge0.v]);
// Remember the index so we don't output it again.
vertFlag[edge0.v].undermap = PxTo8(vertCountUnder++);
}
vin = vertFlag[edge0.v].undermap;
}
else
{
// Add new vertex.
const PxPlane& p0 = convex.getFacets()[edge0.p];
const PxPlane& pa = convex.getFacets()[edgea.p];
createdVerts.pushBack(threePlaneIntersection(p0, pa, slice));
vin = PxTo8(vertCountUnder++);
}
if (vout != invalidIndex && vin != vout)
{
// We have been in and out, Add the coplanar edge
coplanarEdge = underEdgeCount;
tmpUnderEdges[underEdgeCount].v = vout;
tmpUnderEdges[underEdgeCount].p = PxTo8(underPlanesCount);
tmpUnderEdges[underEdgeCount].ea = invalidIndex;
underEdgeCount++;
}
// Output current edge.
tmpUnderEdges[underEdgeCount].v = vin;
tmpUnderEdges[underEdgeCount].p = PxTo8(underPlanesCount);
edgeFlag[e0].undermap = short(underEdgeCount);
if (PxU32(edge0.ea) < e0)
{
// We have already done the sibling.
// Connect current edge to its sibling.
PX_ASSERT(edgeFlag[edge0.ea].undermap != invalidIndex);
tmpUnderEdges[underEdgeCount].ea = edgeFlag[edge0.ea].undermap;
tmpUnderEdges[edgeFlag[edge0.ea].undermap].ea = short(underEdgeCount);
}
PX_ASSERT(edgeFlag[e0].undermap == underEdgeCount);
underEdgeCount++;
}
else if (vertFlag[edge0.v].planetest == local::eUNDER && vertFlag[edge1.v].planetest == local::eUNDER)
{
// Both UNDER
// Output current edge.
edgeFlag[e0].undermap = short(underEdgeCount);
tmpUnderEdges[underEdgeCount].v = vertFlag[edge0.v].undermap;
tmpUnderEdges[underEdgeCount].p = PxTo8(underPlanesCount);
if (PxU32(edge0.ea) < e0)
{
// We have already done the sibling.
// Connect current edge to its sibling.
PX_ASSERT(edgeFlag[edge0.ea].undermap != invalidIndex);
tmpUnderEdges[underEdgeCount].ea = edgeFlag[edge0.ea].undermap;
tmpUnderEdges[edgeFlag[edge0.ea].undermap].ea = short(underEdgeCount);
}
underEdgeCount++;
}
e0 = e1;
e1++; // do the modulo at the beginning of the loop
} while (e0 != eStart);
e0 = eNextFace;
if (planeSide & local::eUNDER)
{
// At least part of current plane is UNDER.
// Output current plane.
tmpUnderPlanes[underPlanesCount] = convex.getFacets()[currentplane];
underPlanesCount++;
}
if (coplanarEdge != invalidIndex)
{
// We have a coplanar edge.
// Add to coplanaredges for later processing.
// (One sibling is in place but one is missing)
PX_ASSERT(vin != invalidIndex);
PX_ASSERT(vout != invalidIndex);
PX_ASSERT(coplanarEdge != 511);
coplanarEdges[coplanarEdgesNum].ea = PxU8(coplanarEdge);
coplanarEdges[coplanarEdgesNum].v0 = vin;
coplanarEdges[coplanarEdgesNum].v1 = vout;
coplanarEdgesNum++;
}
// Reset coplanar edge infos for next poly
vin = invalidIndex;
vout = invalidIndex;
coplanarEdge = invalidIndex;
}
// Add the new plane to the mix:
if (coplanarEdgesNum > 0)
{
tmpUnderPlanes[underPlanesCount++] = slice;
}
// Sort the coplanar edges in winding order.
for (i = 0; i < coplanarEdgesNum - 1; i++)
{
if (coplanarEdges[i].v1 != coplanarEdges[i + 1].v0)
{
PxU32 j = 0;
for (j = i + 2; j < coplanarEdgesNum; j++)
{
if (coplanarEdges[i].v1 == coplanarEdges[j].v0)
{
local::Coplanar tmp = coplanarEdges[i + 1];
coplanarEdges[i + 1] = coplanarEdges[j];
coplanarEdges[j] = tmp;
break;
}
}
if (j >= coplanarEdgesNum)
{
// PX_ASSERT(j<coplanaredges_num);
return NULL;
}
}
}
// PT: added this line to fix DE2904
if (!vertCountUnder)
return NULL;
// Create the output convex.
ConvexHull* punder = PX_NEW(ConvexHull)(convex.getInputPlanes());
ConvexHull& under = *punder;
// Copy UNDER vertices
PxU32 k = 0;
for (i = 0; i < convex.getVertices().size(); i++)
{
if (vertFlag[i].planetest == local::eUNDER)
{
under.getVertices().pushBack(convex.getVertices()[i]);
k++;
}
}
// Copy created vertices
i = 0;
while (k < vertCountUnder)
{
under.getVertices().pushBack(createdVerts[i++]);
k++;
}
PX_ASSERT(i == createdVerts.size());
// Copy the output edges and output planes.
under.getEdges().resize(underEdgeCount + coplanarEdgesNum);
under.getFacets().resize(underPlanesCount);
// Add the coplanar edge siblings that belong to the new polygon (coplanaredges).
for (i = 0; i < coplanarEdgesNum; i++)
{
under.getEdges()[underEdgeCount + i].p = PxU8(underPlanesCount - 1);
under.getEdges()[underEdgeCount + i].ea = short(coplanarEdges[i].ea);
tmpUnderEdges[coplanarEdges[i].ea].ea = PxI16(underEdgeCount + i);
under.getEdges()[underEdgeCount + i].v = coplanarEdges[i].v0;
}
PxMemCopy(under.getEdges().begin(), tmpUnderEdges, sizeof(ConvexHull::HalfEdge)*underEdgeCount);
PxMemCopy(under.getFacets().begin(), tmpUnderPlanes, sizeof(PxPlane)*underPlanesCount);
return punder;
}
bool physx::computeOBBFromConvex(const PxConvexMeshDesc& desc, PxVec3& sides, PxTransform& matrix)
{
PxIntegrals integrals;
// using the centroid of the convex for the volume integration solved accuracy issues in cases where the inertia tensor
// ended up close to not being positive definite and after a few further transforms the diagonalized inertia tensor ended
// up with negative values.
const PxVec3* verts = (reinterpret_cast<const PxVec3*>(desc.points.data));
const PxU32* ind = (reinterpret_cast<const PxU32*>(desc.indices.data));
const PxHullPolygon* polygons = (reinterpret_cast<const PxHullPolygon*>(desc.polygons.data));
PxVec3 mean(0.0f);
for (PxU32 i = 0; i < desc.points.count; i++)
mean += verts[i];
mean *= (1.0f / desc.points.count);
PxU8* indices = PX_ALLOCATE(PxU8, desc.indices.count, "PxU8");
for (PxU32 i = 0; i < desc.indices.count; i++)
{
indices[i] = PxTo8(ind[i]);
}
// we need to move the polygon data to internal format
Gu::HullPolygonData* polygonData = PX_ALLOCATE(Gu::HullPolygonData, desc.polygons.count, "Gu::HullPolygonData");
for (PxU32 i = 0; i < desc.polygons.count; i++)
{
polygonData[i].mPlane = PxPlane(polygons[i].mPlane[0], polygons[i].mPlane[1], polygons[i].mPlane[2], polygons[i].mPlane[3]);
polygonData[i].mNbVerts = PxTo8(polygons[i].mNbVerts);
polygonData[i].mVRef8 = polygons[i].mIndexBase;
}
PxConvexMeshDesc inDesc;
inDesc.points.data = desc.points.data;
inDesc.points.count = desc.points.count;
inDesc.polygons.data = polygonData;
inDesc.polygons.count = desc.polygons.count;
inDesc.indices.data = indices;
inDesc.indices.count = desc.indices.count;
// compute volume integrals to get basis axis
if(computeVolumeIntegralsEberly(inDesc, 1.0f, integrals, mean, desc.flags & PxConvexFlag::eFAST_INERTIA_COMPUTATION))
{
Vec4V* pointsV = PX_ALLOCATE(Vec4V, desc.points.count, "Vec4V");
for (PxU32 i = 0; i < desc.points.count; i++)
{
// safe to V4 load, same as volume integration - we allocate one more vector
pointsV[i] = V4LoadU(&verts[i].x);
}
PxMat33 inertia;
integrals.getOriginInertia(inertia);
PxQuat inertiaQuat;
PxDiagonalize(inertia, inertiaQuat);
const PxMat33Padded baseAxis(inertiaQuat);
Vec4V center = V4LoadU(&integrals.COM.x);
const PxU32 numSteps = 20;
const float subStep = PxDegToRad(float(360/numSteps));
float bestVolume = FLT_MAX;
for (PxU32 axis = 0; axis < 3; axis++)
{
for (PxU32 iStep = 0; iStep < numSteps; iStep++)
{
PxQuat quat(iStep*subStep, baseAxis[axis]);
Vec4V transV = center;
Vec4V psidesV;
const QuatV rotV = QuatVLoadU(&quat.x);
local::computeOBBSIMD(desc.points.count, pointsV, psidesV, rotV, transV);
PxVec3 psides;
V3StoreU(Vec3V_From_Vec4V(psidesV), psides);
const float volume = psides[0] * psides[1] * psides[2]; // the volume of the cube
if (volume <= bestVolume)
{
bestVolume = volume;
sides = psides;
V4StoreU(rotV, &matrix.q.x);
V3StoreU(Vec3V_From_Vec4V(transV), matrix.p);
}
}
}
PX_FREE(pointsV);
}
else
{
PX_FREE(indices);
PX_FREE(polygonData);
return false;
}
PX_FREE(indices);
PX_FREE(polygonData);
return true;
}