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Seele/src/Engine/Physics/BVH.cpp
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2022-11-29 16:34:42 +01:00
#include "BVH.h"
using namespace Seele;
void BVH::findOverlaps(Array<Pair<entt::entity, entt::entity>>& overlaps)
{
overlaps.clear();
for(const auto& node : dynamicNodes)
{
traverseStaticTree(node.box, node.owner, staticRoot, overlaps);
traverseDynamicTree(node.box, node.owner, dynamicRoot, overlaps);
}
}
void BVH::updateDynamicCollider(entt::entity entity, AABB aabb)
{
for(auto& aabbcenter : dynamicCollider)
{
if(aabbcenter.id == entity)
{
if(!aabbcenter.bb.contains(aabb))
{
// moved out of extended bounds
reinsertCollider(entity, aabb);
}
return;
}
}
// new collider
addDynamicCollider(entity, aabb);
}
void BVH::traverseStaticTree(const AABB& aabb, entt::entity source, int32 nodeIndex, Array<Pair<entt::entity, entt::entity>>& overlaps)
{
const Node& node = staticNodes[nodeIndex];
if(!aabb.intersects(node.box))
{
return;
}
if(node.isLeaf)
{
overlaps.add(Pair<entt::entity, entt::entity>(source, node.owner));
return;
}
traverseStaticTree(aabb, source, node.left, overlaps);
traverseStaticTree(aabb, source, node.right, overlaps);
}
void BVH::traverseDynamicTree(const AABB& aabb, entt::entity source, int32 nodeIndex, Array<Pair<entt::entity, entt::entity>>& overlaps)
{
const Node& node = staticNodes[nodeIndex];
if(!aabb.intersects(node.box))
{
return;
}
if(node.isLeaf && node.owner != source)
{
overlaps.add(Pair<entt::entity, entt::entity>(source, node.owner));
return;
}
traverseStaticTree(aabb, source, node.left, overlaps);
traverseStaticTree(aabb, source, node.right, overlaps);
}
void BVH::reinsertCollider(entt::entity entity, AABB aabb)
{
int32 nodeIndex = -1;
for (int32 i = 0; i < dynamicNodes.size(); i++)
{
if(dynamicNodes[i].isLeaf && dynamicNodes[i].owner == entity)
{
nodeIndex = i;
break;
}
}
if(nodeIndex == -1)
{
return;
}
int32 parentIndex = dynamicNodes[nodeIndex].parentIndex;
const Node& parent = dynamicNodes[parentIndex];
int32 siblingIndex;
if(parent.left == nodeIndex)
{
siblingIndex = parent.right;
}
else
{
siblingIndex = parent.left;
}
// the node to remove and their sibling share a parent
// now that the node is removed, the parent is also useless
// so the grandparent should point32 to the sibling directly instead of the parent
Node& grandParent = dynamicNodes[parent.parentIndex];
if(grandParent.left == parentIndex)
{
grandParent.left = siblingIndex;
}
else
{
grandParent.right = siblingIndex;
}
freeNode(parentIndex);
freeNode(nodeIndex);
addDynamicCollider(entity, aabb);
}
void BVH::addDynamicCollider(entt::entity entity, AABB aabb)
{
auto center = (aabb.max + aabb.min) / 2.0f;
// enlarge box slightly to buffer movement
aabb = AABB {
.min = center + (aabb.min - center) * 1.1f,
.max = center + (aabb.max - center) * 1.1f,
};
dynamicCollider.add(AABBCenter {
.bb = aabb,
.center = center,
.id = entity
});
int32 leafIndex = allocateNode();
Node newNode = Node {
.box = aabb,
.isLeaf = true,
.owner = entity,
};
dynamicNodes[leafIndex] = newNode;
if (dynamicRoot == -1)
{
dynamicRoot = leafIndex;
return;
}
int32 bestSibling;
float bestCost = std::numeric_limits<float>::max();
findSibling(newNode, dynamicRoot, bestCost, bestSibling);
int32 oldParent = dynamicNodes[bestSibling].parentIndex;
int32 newParent = allocateNode();
dynamicNodes[newParent] = Node {
.box = aabb.combine(dynamicNodes[bestSibling].box),
.parentIndex = oldParent,
.isLeaf = false,
};
if(oldParent != -1)
{
if(dynamicNodes[oldParent].left == bestSibling)
{
dynamicNodes[oldParent].left = newParent;
}
else
{
dynamicNodes[oldParent].right = newParent;
}
dynamicNodes[newParent].left = bestSibling;
dynamicNodes[newParent].right = leafIndex;
dynamicNodes[bestSibling].parentIndex = newParent;
dynamicNodes[leafIndex].parentIndex = newParent;
}
else
{
dynamicNodes[newParent].left = bestSibling;
dynamicNodes[newParent].right = leafIndex;
dynamicNodes[bestSibling].parentIndex = newParent;
dynamicNodes[leafIndex].parentIndex = newParent;
dynamicRoot = newParent;
}
int32 index = dynamicNodes[leafIndex].parentIndex;
while(index != -1)
{
int32 left = dynamicNodes[index].left;
int32 right = dynamicNodes[index].right;
dynamicNodes[index].box = dynamicNodes[left].box.combine(dynamicNodes[right].box);
index = dynamicNodes[index].parentIndex;
}
}
void BVH::addStaticCollider(entt::entity entity, AABB boundingBox)
{
staticCollider.add(AABBCenter {
.bb = boundingBox,
.center = (boundingBox.min + boundingBox.max) / 2.0f,
.id = entity,
});
staticNodes.clear();
}
void BVH::findSibling(Node newNode, int32 nodeIndex, float& bestCost, int32& result)
{
if(nodeIndex == -1)
{
return;
}
float lowerBound = lowerBoundCost(newNode, nodeIndex);
if(lowerBound < bestCost)
{
float cost = siblingCost(newNode, nodeIndex);
if(cost < bestCost)
{
bestCost = cost;
result = nodeIndex;
}
findSibling(newNode, dynamicNodes[nodeIndex].left, bestCost, result);
findSibling(newNode, dynamicNodes[nodeIndex].right, bestCost, result);
}
}
float BVH::siblingCost(Node newNode, int32 siblingIndex)
{
const Node& sibling = dynamicNodes[siblingIndex];
AABB newBox = sibling.box.combine(newNode.box);
float cost = newBox.surfaceArea();
int32 parentIndex = sibling.parentIndex;
while(parentIndex != -1)
{
AABB parentBox = dynamicNodes[parentIndex].box;
cost += parentBox.combine(newBox).surfaceArea() - parentBox.surfaceArea();
}
return cost;
}
float BVH::lowerBoundCost(Node newNode, int32 branchIndex)
{
float cost = newNode.box.surfaceArea();
while(branchIndex != -1)
{
AABB box = dynamicNodes[branchIndex].box;
cost += box.combine(newNode.box).surfaceArea() - box.surfaceArea();
branchIndex = dynamicNodes[branchIndex].parentIndex;
}
return cost;
}
int32 BVH::splitNode(Array<AABBCenter> aabbs)
{
if(aabbs.size() == 1)
{
int32 leafIndex = static_cast<int32>(staticNodes.size());
Node& leaf = staticNodes.add();
leaf.box = aabbs[0].bb;
leaf.left = -1;
leaf.right = -1;
leaf.owner = aabbs[0].id;
return leafIndex;
}
AABB rootBox;
for(size_t i = 0; i < aabbs.size(); ++i)
{
rootBox.adjust(aabbs[i].bb.min);
rootBox.adjust(aabbs[i].bb.max);
}
float xlen = rootBox.max.x - rootBox.min.x;
float ylen = rootBox.max.y - rootBox.min.y;
float zlen = rootBox.max.z - rootBox.min.z;
int32 longestAxis;
if(xlen >= ylen && xlen >= zlen)
{
longestAxis = 0;
}
if(ylen >= xlen && ylen >= zlen)
{
longestAxis = 1;
}
if(zlen >= xlen && zlen >= ylen)
{
longestAxis = 2;
}
std::sort(aabbs.begin(), aabbs.end(), [longestAxis](AABBCenter lhs, AABBCenter rhs){ return lhs.center[longestAxis] < rhs.center[longestAxis];});
Array<AABBCenter> left((aabbs.size()+1)/2);
Array<AABBCenter> right(aabbs.size()/2);
std::copy(aabbs.begin(), aabbs.begin()+left.size(), left.begin());
std::copy(aabbs.begin()+left.size(), aabbs.end(), right.begin());
int32 rootIndex = static_cast<int32>(staticNodes.size());
Node& rootNode = staticNodes.add();
rootNode.box = rootBox;
rootNode.left = splitNode(std::move(left));
rootNode.right = splitNode(std::move(right));
return rootIndex;
}
int32 BVH::allocateNode()
{
for (int32 i = 0; i < dynamicNodes.size(); i++)
{
if(!dynamicNodes[i].isValid)
{
return i;
}
}
int32 newLeaf = static_cast<int32>(dynamicNodes.size());
dynamicNodes.add();
return newLeaf;
}
void BVH::freeNode(int32 nodeIndex)
{
dynamicNodes[nodeIndex].isValid = false;
}