package base import "math" // Load bulk load items into the R-tree. func (tr *RTree) Load(mins, maxs [][]float64, items []interface{}) { if len(items) < tr.minEntries { for i := 0; i < len(items); i++ { tr.Insert(mins[i], maxs[i], items[i]) } return } // prefill the items fitems := make([]*treeNode, len(items)) for i := 0; i < len(items); i++ { item := &treeItem{min: mins[i], max: maxs[i], item: items[i]} fitems[i] = item.unsafeNode() } // following equations are defined in the paper describing OMT N := len(fitems) M := tr.maxEntries h := int(math.Ceil(math.Log(float64(N)) / math.Log(float64(M)))) Nsubtree := int(math.Pow(float64(M), float64(h-1))) S := int(math.Ceil(math.Sqrt(float64(N) / float64(Nsubtree)))) // sort by the initial axis axis := 0 sortByAxis(fitems, axis) // build the root node. it's split differently from the subtrees. children := make([]*treeNode, 0, S) for i := 0; i < S; i++ { var part []*treeNode if i == S-1 { // last split part = fitems[len(fitems)/S*i:] } else { part = fitems[len(fitems)/S*i : len(fitems)/S*(i+1)] } children = append(children, tr.omt(part, h-1, axis+1)) } node := tr.createNode(children) node.leaf = false node.height = h tr.calcBBox(node) if tr.data.count == 0 { // save as is if tree is empty tr.data = node } else if tr.data.height == node.height { // split root if trees have the same height tr.splitRoot(tr.data, node) } else { if tr.data.height < node.height { // swap trees if inserted one is bigger tr.data, node = node, tr.data } // insert the small tree into the large tree at appropriate level tr.insert(node, nil, tr.data.height-node.height-1, true) } } func (tr *RTree) omt(fitems []*treeNode, h, axis int) *treeNode { if len(fitems) <= tr.maxEntries { // reached leaf level; return leaf children := make([]*treeNode, len(fitems)) copy(children, fitems) node := tr.createNode(children) node.height = h tr.calcBBox(node) return node } // sort the items on a different axis than the previous level. sortByAxis(fitems, axis%tr.dims) children := make([]*treeNode, 0, tr.maxEntries) partsz := len(fitems) / tr.maxEntries for i := 0; i < tr.maxEntries; i++ { var part []*treeNode if i == tr.maxEntries-1 { // last part part = fitems[partsz*i:] } else { part = fitems[partsz*i : partsz*(i+1)] } children = append(children, tr.omt(part, h-1, axis+1)) } node := tr.createNode(children) node.height = h node.leaf = false tr.calcBBox(node) return node }