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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
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// 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) 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 "ExtClothConfig.h"
#if APEX_USE_CLOTH_API
#include "ExtClothMeshQuadifier.h"
#include "PxStrideIterator.h"
// from shared foundation
#include <PsArray.h>
#include <PsSort.h>
#include <Ps.h>
#include <PsMathUtils.h>
using namespace nvidia;
using namespace physx;
struct nvidia::PxClothMeshQuadifierImpl
{
PxClothMeshQuadifierImpl(const PxClothMeshDesc& desc);
PxClothMeshDesc getDescriptor() const;
public:
PxClothMeshDesc mDesc;
shdfnd::Array<uint32_t> mQuads;
shdfnd::Array<uint32_t> mTriangles;
};
PxClothMeshQuadifier::PxClothMeshQuadifier(const PxClothMeshDesc& desc)
: mImpl(new PxClothMeshQuadifierImpl(desc))
{
}
PxClothMeshQuadifier::~PxClothMeshQuadifier()
{
delete mImpl;
}
PxClothMeshDesc PxClothMeshQuadifier::getDescriptor() const
{
return mImpl->getDescriptor();
}
namespace
{
struct UniqueEdge
{
PX_FORCE_INLINE bool operator()(const UniqueEdge& e1, const UniqueEdge& e2) const
{
return e1 < e2;
}
PX_FORCE_INLINE bool operator==(const UniqueEdge& other) const
{
return vertex0 == other.vertex0 && vertex1 == other.vertex1;
}
PX_FORCE_INLINE bool operator<(const UniqueEdge& other) const
{
if (vertex0 != other.vertex0)
{
return vertex0 < other.vertex0;
}
return vertex1 < other.vertex1;
}
///////////////////////////////////////////////////////////////////////////////
UniqueEdge()
: vertex0(0), vertex1(0), vertex2(0), vertex3(0xffffffff),
maxAngle(0.0f), isQuadDiagonal(false), isUsed(false) {}
UniqueEdge(uint32_t v0, uint32_t v1, uint32_t v2)
: vertex0(PxMin(v0, v1)), vertex1(PxMax(v0, v1)), vertex2(v2), vertex3(0xffffffff),
maxAngle(0.0f), isQuadDiagonal(false), isUsed(false) {}
uint32_t vertex0, vertex1;
uint32_t vertex2, vertex3;
float maxAngle;
bool isQuadDiagonal;
bool isUsed;
};
struct SortHiddenEdges
{
SortHiddenEdges(shdfnd::Array<UniqueEdge>& uniqueEdges) : mUniqueEdges(uniqueEdges) {}
bool operator()(uint32_t a, uint32_t b) const
{
return mUniqueEdges[a].maxAngle < mUniqueEdges[b].maxAngle;
}
private:
SortHiddenEdges& operator=(const SortHiddenEdges&);
shdfnd::Array<UniqueEdge>& mUniqueEdges;
};
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
template <typename T>
void copyIndices(const PxClothMeshDesc &desc, shdfnd::Array<uint32_t> &triangles, shdfnd::Array<uint32_t> &quads)
{
triangles.resize(desc.triangles.count*3);
PxStrideIterator<const T> tIt = physx::PxMakeIterator((const T*)desc.triangles.data, desc.triangles.stride);
for(uint32_t i=0; i<desc.triangles.count; ++i, ++tIt)
for(uint32_t j=0; j<3; ++j)
triangles[i*3+j] = tIt.ptr()[j];
quads.resize(desc.quads.count*4);
PxStrideIterator<const T> qIt = physx::PxMakeIterator((const T*)desc.quads.data, desc.quads.stride);
for(uint32_t i=0; i<desc.quads.count; ++i, ++qIt)
for(uint32_t j=0; j<4; ++j)
quads[i*4+j] = qIt.ptr()[j];
}
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
void computeUniqueEdges(shdfnd::Array<UniqueEdge> &uniqueEdges, const PxVec3* positions, const shdfnd::Array<uint32_t>& triangles)
{
uniqueEdges.resize(0);
uniqueEdges.reserve(triangles.size());
uint32_t indexMap[3][3] = { { 0, 1, 2 }, { 1, 2, 0 }, { 0, 2, 1 } };
const float rightAngle = PxCos(physx::shdfnd::degToRad(85.0f));
for(uint32_t i=0; i<triangles.size(); i+=3)
{
UniqueEdge edges[3];
float edgeLengths[3];
float edgeAngles[3];
for (uint32_t j = 0; j < 3; j++)
{
edges[j] = UniqueEdge(triangles[i+indexMap[j][0]], triangles[i+indexMap[j][1]], triangles[i+indexMap[j][2]]);
edgeLengths[j] = (positions[edges[j].vertex0] - positions[edges[j].vertex1]).magnitude();
const PxVec3 v1 = positions[edges[j].vertex2] - positions[edges[j].vertex0];
const PxVec3 v2 = positions[edges[j].vertex2] - positions[edges[j].vertex1];
edgeAngles[j] = PxAbs(v1.dot(v2)) / (v1.magnitude() * v2.magnitude());
}
// find the longest edge
uint32_t longest = 0;
for (uint32_t j = 1; j < 3; j++)
{
if (edgeLengths[j] > edgeLengths[longest])
longest = j;
}
// check it's angle
if (edgeAngles[longest] < rightAngle)
edges[longest].isQuadDiagonal = true;
for (uint32_t j = 0; j < 3; j++)
uniqueEdges.pushBack(edges[j]);
}
physx::shdfnd::sort(uniqueEdges.begin(), uniqueEdges.size(), UniqueEdge(0, 0, 0));
uint32_t writeIndex = 0, readStart = 0, readEnd = 0;
uint32_t numQuadEdges = 0;
while (readEnd < uniqueEdges.size())
{
while (readEnd < uniqueEdges.size() && uniqueEdges[readStart] == uniqueEdges[readEnd])
readEnd++;
const uint32_t count = readEnd - readStart;
UniqueEdge uniqueEdge = uniqueEdges[readStart];
if (count == 2)
// know the other diagonal
uniqueEdge.vertex3 = uniqueEdges[readStart + 1].vertex2;
else
uniqueEdge.isQuadDiagonal = false;
for (uint32_t i = 1; i < count; i++)
uniqueEdge.isQuadDiagonal &= uniqueEdges[readStart + i].isQuadDiagonal;
numQuadEdges += uniqueEdge.isQuadDiagonal ? 1 : 0;
uniqueEdges[writeIndex] = uniqueEdge;
writeIndex++;
readStart = readEnd;
}
uniqueEdges.resize(writeIndex, UniqueEdge(0, 0, 0));
}
///////////////////////////////////////////////////////////////////////////////
uint32_t findUniqueEdge(const shdfnd::Array<UniqueEdge> &uniqueEdges, uint32_t index1, uint32_t index2)
{
UniqueEdge searchFor(index1, index2, 0);
uint32_t curMin = 0;
uint32_t curMax = uniqueEdges.size();
while (curMax > curMin)
{
uint32_t middle = (curMin + curMax) >> 1;
const UniqueEdge& probe = uniqueEdges[middle];
if (probe < searchFor)
curMin = middle + 1;
else
curMax = middle;
}
return curMin;
}
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
void refineUniqueEdges(shdfnd::Array<UniqueEdge> &uniqueEdges, const PxVec3* positions)
{
shdfnd::Array<uint32_t> hideEdges;
hideEdges.reserve(uniqueEdges.size());
for (uint32_t i = 0; i < uniqueEdges.size(); i++)
{
UniqueEdge& uniqueEdge = uniqueEdges[i];
uniqueEdge.maxAngle = 0.0f;
uniqueEdge.isQuadDiagonal = false; // just to be sure
if (uniqueEdge.vertex3 != 0xffffffff)
{
uint32_t indices[4] = { uniqueEdge.vertex0, uniqueEdge.vertex2, uniqueEdge.vertex1, uniqueEdge.vertex3 };
// compute max angle of the quad
for (uint32_t j = 0; j < 4; j++)
{
PxVec3 e0 = positions[indices[ j + 0 ]] - positions[indices[(j + 1) % 4]];
PxVec3 e1 = positions[indices[(j + 1) % 4]] - positions[indices[(j + 2) % 4]];
float denominator = e0.magnitude() * e1.magnitude();
if (denominator != 0.0f)
{
float cosAngle = PxAbs(e0.dot(e1)) / denominator;
uniqueEdge.maxAngle = PxMax(uniqueEdge.maxAngle, cosAngle);
}
}
hideEdges.pushBack(i);
}
}
shdfnd::sort(hideEdges.begin(), hideEdges.size(), SortHiddenEdges(uniqueEdges));
const float maxAngle = PxSin(physx::shdfnd::degToRad(60.0f));
uint32_t numHiddenEdges = 0;
for (uint32_t i = 0; i < hideEdges.size(); i++)
{
UniqueEdge& uniqueEdge = uniqueEdges[hideEdges[i]];
// find some stop criterion
if (uniqueEdge.maxAngle > maxAngle)
break;
// check if all four adjacent edges are still visible?
uint32_t indices[5] = { uniqueEdge.vertex0, uniqueEdge.vertex2, uniqueEdge.vertex1, uniqueEdge.vertex3, uniqueEdge.vertex0 };
uint32_t numVisible = 0;
for (uint32_t j = 0; j < 4; j++)
{
const uint32_t edgeIndex = findUniqueEdge(uniqueEdges, indices[j], indices[j + 1]);
PX_ASSERT(edgeIndex < uniqueEdges.size());
numVisible += uniqueEdges[edgeIndex].isQuadDiagonal ? 0 : 1;
}
if (numVisible == 4)
{
uniqueEdge.isQuadDiagonal = true;
numHiddenEdges++;
}
}
}
// calculate the inclusive prefix sum, equivalent of std::partial_sum
template <typename T>
void prefixSum(const T* first, const T* last, T* dest)
{
if (first != last)
{
*(dest++) = *(first++);
for (; first != last; ++first, ++dest)
*dest = *(dest-1) + *first;
}
}
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
void quadifyTriangles(const shdfnd::Array<UniqueEdge> &uniqueEdges, shdfnd::Array<uint32_t>& triangles, shdfnd::Array<uint32_t> &quads)
{
shdfnd::Array<uint32_t> valency(uniqueEdges.size()+1, 0); // edge valency
shdfnd::Array<uint32_t> adjacencies; // adjacency from unique edge to triangles
uint32_t numTriangles = triangles.size() / 3;
// compute edge valency w.r.t triangles
for(uint32_t i=0; i<numTriangles; ++i)
{
for (uint32_t j=0; j < 3; j++)
{
uint32_t uniqueEdgeIndex = findUniqueEdge(uniqueEdges, triangles[i*3+j], triangles[i*3+(j+1)%3]);
++valency[uniqueEdgeIndex];
}
}
// compute adjacency from each edge to triangle, the value also encodes which side of the triangle this edge belongs to
prefixSum(valency.begin(), valency.end(), valency.begin());
adjacencies.resize(valency.back());
for(uint32_t i=0; i<numTriangles; ++i)
{
for (uint32_t j=0; j < 3; j++)
{
uint32_t uniqueEdgeIndex = findUniqueEdge(uniqueEdges, triangles[i*3+j], triangles[i*3+(j+1)%3]);
adjacencies[--valency[uniqueEdgeIndex]] = i*3+j;
}
}
// now go through unique edges that are identified as diagonal, and build a quad out of two adjacent triangles
shdfnd::Array<uint32_t> mark(numTriangles, 0);
for (uint32_t i = 0; i < uniqueEdges.size(); i++)
{
const UniqueEdge& edge = uniqueEdges[i];
if (edge.isQuadDiagonal)
{
uint32_t vi = valency[i];
if ((valency[i+1]-vi) != 2)
continue; // we do not quadify around non-manifold edges
uint32_t adj0 = adjacencies[vi], adj1 = adjacencies[vi+1];
uint32_t tid0 = adj0 / 3, tid1 = adj1 / 3;
uint32_t eid0 = adj0 % 3, eid1 = adj1 % 3;
quads.pushBack(triangles[tid0 * 3 + eid0]);
quads.pushBack(triangles[tid1 * 3 + (eid1+2)%3]);
quads.pushBack(triangles[tid0 * 3 + (eid0+1)%3]);
quads.pushBack(triangles[tid0 * 3 + (eid0+2)%3]);
mark[tid0] = 1;
mark[tid1] = 1;
#if 0 // PX_DEBUG
printf("Deleting %d, %d, %d - %d, %d, %d, creating %d, %d, %d, %d\n",
triangles[tid0*3],triangles[tid0*3+1],triangles[tid0*3+2],
triangles[tid1*3],triangles[tid1*3+1],triangles[tid1*3+2],
v0,v3,v1,v2);
#endif
}
}
// add remaining triangles that are not marked as already quadified
shdfnd::Array<uint32_t> oldTriangles = triangles;
triangles.resize(0);
for (uint32_t i = 0; i < numTriangles; i++)
{
if (mark[i]) continue;
triangles.pushBack(oldTriangles[i*3]);
triangles.pushBack(oldTriangles[i*3+1]);
triangles.pushBack(oldTriangles[i*3+2]);
}
}
} // namespace
///////////////////////////////////////////////////////////////////////////////
PxClothMeshQuadifierImpl::PxClothMeshQuadifierImpl(const PxClothMeshDesc &desc)
:mDesc(desc)
{
shdfnd::Array<PxVec3> particles(desc.points.count);
PxStrideIterator<const PxVec3> pIt((const PxVec3*)desc.points.data, desc.points.stride);
for(uint32_t i=0; i<desc.points.count; ++i)
particles[i] = *pIt++;
// copy triangle indices
if(desc.flags & PxMeshFlag::e16_BIT_INDICES)
copyIndices<uint16_t>(desc, mTriangles, mQuads);
else
copyIndices<uint32_t>(desc, mTriangles, mQuads);
shdfnd::Array<UniqueEdge> uniqueEdges;
computeUniqueEdges(uniqueEdges, particles.begin(), mTriangles);
refineUniqueEdges(uniqueEdges, particles.begin());
// printf("before %d triangles, %d quads\n", mTriangles.size()/3, mQuads.size()/4);
quadifyTriangles(uniqueEdges, mTriangles, mQuads);
// printf("after %d triangles, %d quads\n", mTriangles.size()/3, mQuads.size()/4);
}
///////////////////////////////////////////////////////////////////////////////
PxClothMeshDesc
PxClothMeshQuadifierImpl::getDescriptor() const
{
// copy points and other data
PxClothMeshDesc desc = mDesc;
// for now use only 32 bit for temporary indices out of quadifier
desc.flags &= ~PxMeshFlag::e16_BIT_INDICES;
desc.triangles.count = mTriangles.size() / 3;
desc.triangles.data = mTriangles.begin();
desc.triangles.stride = 3 * sizeof(uint32_t);
desc.quads.count = mQuads.size() / 4;
desc.quads.data = mQuads.begin();
desc.quads.stride = 4 * sizeof(uint32_t);
PX_ASSERT(desc.isValid());
return desc;
}
#endif //APEX_USE_CLOTH_API
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