package base import ( "fmt" "log" "math" "math/rand" "reflect" "runtime" "sort" "testing" "time" ) const D = 2 const M = 13 type Rect struct { min, max []float64 item interface{} } func (r *Rect) equals(r2 Rect) bool { if len(r.min) != len(r2.min) || len(r.max) != len(r2.max) || r.item != r2.item { return false } for i := 0; i < len(r.min); i++ { if r.min[i] != r2.min[i] { return false } } for i := 0; i < len(r.max); i++ { if r.max[i] != r2.max[i] { return false } } return true } func ptrMakePoint(vals ...float64) *Rect { var r Rect r.min = make([]float64, D) r.max = make([]float64, D) for i := 0; i < D && i < len(vals); i++ { r.min[i] = vals[i] r.max[i] = vals[i] } r.item = &r return &r } func ptrMakeRect(vals ...float64) *Rect { var r Rect r.min = make([]float64, D) r.max = make([]float64, D) for i := 0; i < D && i < len(vals); i++ { r.min[i] = vals[i] r.max[i] = vals[i+D] } r.item = &r return &r } func TestRTree(t *testing.T) { tr := New(D, M) p := ptrMakePoint(10, 10) tr.Insert(p.min, p.max, p.item) } func TestPtrBasic2D(t *testing.T) { if D != 2 { return } tr := New(D, M) p1 := ptrMakePoint(-115, 33) p2 := ptrMakePoint(-113, 35) tr.Insert(p1.min, p1.max, p1.item) tr.Insert(p2.min, p2.max, p2.item) assertEqual(t, 2, tr.Count()) var points []*Rect bbox := ptrMakeRect(-116, 32, -114, 34) tr.Search(bbox.min, bbox.max, func(item interface{}) bool { points = append(points, item.(*Rect)) return true }) assertEqual(t, 1, len(points)) tr.Remove(p1.min, p1.max, p1.item) assertEqual(t, 1, tr.Count()) points = nil bbox = ptrMakeRect(-116, 33, -114, 34) tr.Search(bbox.min, bbox.max, func(item interface{}) bool { points = append(points, item.(*Rect)) return true }) assertEqual(t, 0, len(points)) tr.Remove(p2.min, p2.max, p2.item) assertEqual(t, 0, tr.Count()) } func getMemStats() runtime.MemStats { runtime.GC() time.Sleep(time.Millisecond) runtime.GC() var ms runtime.MemStats runtime.ReadMemStats(&ms) return ms } func ptrMakeRandom(what string) *Rect { if what == "point" { vals := make([]float64, D) for i := 0; i < D; i++ { if i == 0 { vals[i] = rand.Float64()*360 - 180 } else if i == 1 { vals[i] = rand.Float64()*180 - 90 } else { vals[i] = rand.Float64()*100 - 50 } } return ptrMakePoint(vals...) } else if what == "rect" { vals := make([]float64, D) for i := 0; i < D; i++ { if i == 0 { vals[i] = rand.Float64()*340 - 170 } else if i == 1 { vals[i] = rand.Float64()*160 - 80 } else { vals[i] = rand.Float64()*80 - 30 } } rvals := make([]float64, D*2) for i := 0; i < D; i++ { rvals[i] = vals[i] - rand.Float64()*10 rvals[D+i] = vals[i] + rand.Float64()*10 } return ptrMakeRect(rvals...) } panic("??") } func TestPtrRandom(t *testing.T) { t.Run(fmt.Sprintf("%dD", D), func(t *testing.T) { t.Run("point", func(t *testing.T) { ptrTestRandom(t, "point", 10000) }) t.Run("rect", func(t *testing.T) { ptrTestRandom(t, "rect", 10000) }) }) } func ptrTestRandom(t *testing.T, which string, n int) { fmt.Println("-------------------------------------------------") fmt.Printf("Testing Random %dD %ss\n", D, which) fmt.Println("-------------------------------------------------") rand.Seed(time.Now().UnixNano()) tr := New(D, M) min, max := tr.Bounds() assertEqual(t, make([]float64, D), min[:]) assertEqual(t, make([]float64, D), max[:]) // create random objects m1 := getMemStats() objs := make([]*Rect, n) for i := 0; i < n; i++ { objs[i] = ptrMakeRandom(which) } // insert the objects into tree m2 := getMemStats() start := time.Now() for _, r := range objs { tr.Insert(r.min, r.max, r.item) } durInsert := time.Since(start) m3 := getMemStats() assertEqual(t, len(objs), tr.Count()) fmt.Printf("Inserted %d random %ss in %dms -- %d ops/sec\n", len(objs), which, int(durInsert.Seconds()*1000), int(float64(len(objs))/durInsert.Seconds())) fmt.Printf(" total cost is %d bytes/%s\n", int(m3.HeapAlloc-m1.HeapAlloc)/len(objs), which) fmt.Printf(" tree cost is %d bytes/%s\n", int(m3.HeapAlloc-m2.HeapAlloc)/len(objs), which) fmt.Printf(" tree overhead %d%%\n", int((float64(m3.HeapAlloc-m2.HeapAlloc)/float64(len(objs)))/(float64(m3.HeapAlloc-m1.HeapAlloc)/float64(len(objs)))*100)) fmt.Printf(" complexity %f\n", tr.Complexity()) start = time.Now() // count all nodes and leaves var nodes int var leaves int var maxLevel int tr.Traverse(func(min, max []float64, level int, item interface{}) bool { if level != 0 { nodes++ } if level == 1 { leaves++ } if level > maxLevel { maxLevel = level } return true }) fmt.Printf(" nodes: %d, leaves: %d, level: %d\n", nodes, leaves, maxLevel) // verify mbr for i := 0; i < D; i++ { min[i] = math.Inf(+1) max[i] = math.Inf(-1) } for _, o := range objs { for i := 0; i < D; i++ { if o.min[i] < min[i] { min[i] = o.min[i] } if o.max[i] > max[i] { max[i] = o.max[i] } } } minb, maxb := tr.Bounds() assertEqual(t, min, minb) assertEqual(t, max, maxb) // scan var arr []*Rect tr.Scan(func(item interface{}) bool { arr = append(arr, item.(*Rect)) return true }) assertEqual(t, true, ptrTestHasSameItems(objs, arr)) // search ptrTestSearch(t, tr, objs, 0.10, true) ptrTestSearch(t, tr, objs, 0.50, true) ptrTestSearch(t, tr, objs, 1.00, true) // knn ptrTestKNN(t, tr, objs, int(float64(len(objs))*0.01), true) ptrTestKNN(t, tr, objs, int(float64(len(objs))*0.50), true) ptrTestKNN(t, tr, objs, int(float64(len(objs))*1.00), true) // remove all objects indexes := rand.Perm(len(objs)) start = time.Now() for _, i := range indexes { tr.Remove(objs[i].min, objs[i].max, objs[i].item) } durRemove := time.Since(start) assertEqual(t, 0, tr.Count()) fmt.Printf("Removed %d random %ss in %dms -- %d ops/sec\n", len(objs), which, int(durRemove.Seconds()*1000), int(float64(len(objs))/durRemove.Seconds())) min, max = tr.Bounds() assertEqual(t, make([]float64, D), min[:]) assertEqual(t, make([]float64, D), max[:]) } func ptrTestHasSameItems(a1, a2 []*Rect) bool { if len(a1) != len(a2) { return false } for _, p1 := range a1 { var found bool for _, p2 := range a2 { if p1.equals(*p2) { found = true break } } if !found { return false } } return true } func ptrTestSearch(t *testing.T, tr *RTree, objs []*Rect, percent float64, check bool) { var found int var start time.Time var stop time.Time defer func() { dur := stop.Sub(start) fmt.Printf("Searched %.0f%% (%d/%d items) in %dms -- %d ops/sec\n", percent*100, found, len(objs), int(dur.Seconds()*1000), int(float64(1)/dur.Seconds()), ) }() min, max := tr.Bounds() vals := make([]float64, D*2) for i := 0; i < D; i++ { vals[i] = ((max[i]+min[i])/2 - ((max[i]-min[i])*percent)/2) vals[D+i] = ((max[i]+min[i])/2 + ((max[i]-min[i])*percent)/2) } var arr1 []*Rect var box *Rect if percent == 1 { box = ptrMakeRect(append(append([]float64{}, min[:]...), max[:]...)...) } else { box = ptrMakeRect(vals...) } start = time.Now() tr.Search(box.min, box.max, func(item interface{}) bool { if check { arr1 = append(arr1, item.(*Rect)) } found++ return true }) stop = time.Now() if !check { return } var arr2 []*Rect for _, obj := range objs { if ptrTestIntersects(obj, box) { arr2 = append(arr2, obj) } } assertEqual(t, len(arr1), len(arr2)) for _, o1 := range arr1 { var found bool for _, o2 := range arr2 { if o2.equals(*o1) { found = true break } } if !found { t.Fatalf("not found") } } } func ptrTestKNN(t *testing.T, tr *RTree, objs []*Rect, n int, check bool) { var start time.Time var stop time.Time defer func() { dur := stop.Sub(start) fmt.Printf("KNN %d items in %dms -- %d ops/sec\n", n, int(dur.Seconds()*1000), int(float64(1)/dur.Seconds()), ) }() min, max := tr.Bounds() pvals := make([]float64, D) for i := 0; i < D; i++ { pvals[i] = (max[i] + min[i]) / 2 } point := ptrMakePoint(pvals...) // gather the results, make sure that is matches exactly var arr1 []Rect var dists1 []float64 pdist := math.Inf(-1) start = time.Now() tr.KNN(point.min, point.max, false, func(item interface{}, dist float64) bool { if len(arr1) == n { return false } arr1 = append(arr1, Rect{min: min, max: max, item: item}) dists1 = append(dists1, dist) if dist < pdist { panic("dist out of order") } pdist = dist return true }) stop = time.Now() assertEqual(t, true, n > len(objs) || n == len(arr1)) // get the KNN for the original array nobjs := make([]*Rect, len(objs)) copy(nobjs, objs) sort.Slice(nobjs, func(i, j int) bool { idist := ptrTestBoxDist(pvals, nobjs[i].min, nobjs[i].max) jdist := ptrTestBoxDist(pvals, nobjs[j].min, nobjs[j].max) return idist < jdist }) arr2 := nobjs[:len(arr1)] var dists2 []float64 for i := 0; i < len(arr2); i++ { dist := ptrTestBoxDist(pvals, arr2[i].min, arr2[i].max) dists2 = append(dists2, dist) } // only compare the distances, not the objects because rectangles with // a dist of zero will not be ordered. assertEqual(t, dists1, dists2) } func ptrTestBoxDist(point []float64, min, max []float64) float64 { var dist float64 for i := 0; i < len(point); i++ { d := ptrTestAxisDist(point[i], min[i], max[i]) dist += d * d } return dist } func ptrTestAxisDist(k, min, max float64) float64 { if k < min { return min - k } if k <= max { return 0 } return k - max } func ptrTestIntersects(obj, box *Rect) bool { for i := 0; i < D; i++ { if box.min[i] > obj.max[i] || box.max[i] < obj.min[i] { return false } } return true } // func TestPtrInsertFlatPNG2D(t *testing.T) { // fmt.Println("-------------------------------------------------") // fmt.Println("Generating Cities PNG 2D (flat-insert-2d.png)") // fmt.Println("-------------------------------------------------") // tr := New() // var items []*Rect // c := cities.Cities // for i := 0; i < len(c); i++ { // x := c[i].Longitude // y := c[i].Latitude // items = append(items, ptrMakePoint(x, y)) // } // start := time.Now() // for _, item := range items { // tr.Insert(item.min, item.max, item.item) // } // dur := time.Since(start) // fmt.Printf("wrote %d cities (flat) in %s (%.0f/ops)\n", len(c), dur, float64(len(c))/dur.Seconds()) // withGIF := os.Getenv("GIFOUTPUT") != "" // if err := tr.SavePNG("ptr-flat-insert-2d.png", 1000, 1000, 1.25/360.0, 0, true, withGIF, os.Stdout); err != nil { // t.Fatal(err) // } // if !withGIF { // fmt.Println("use GIFOUTPUT=1 for animated gif") // } // } // func TestPtrLoadFlatPNG2D(t *testing.T) { // fmt.Println("-------------------------------------------------") // fmt.Println("Generating Cities 2D PNG (flat-load-2d.png)") // fmt.Println("-------------------------------------------------") // tr := New() // var items []*Rect // c := cities.Cities // for i := 0; i < len(c); i++ { // x := c[i].Longitude // y := c[i].Latitude // items = append(items, ptrMakePoint(x, y)) // } // var mins [][D]float64 // var maxs [][D]float64 // var ifs []interface{} // for i := 0; i < len(items); i++ { // mins = append(mins, items[i].min) // maxs = append(maxs, items[i].max) // ifs = append(ifs, items[i].item) // } // start := time.Now() // tr.Load(mins, maxs, ifs) // dur := time.Since(start) // if true { // var all []*Rect // tr.Scan(func(min, max [D]float64, item interface{}) bool { // all = append(all, &Rect{min: min, max: max, item: item}) // return true // }) // assertEqual(t, len(all), len(items)) // for len(all) > 0 { // item := all[0] // var found bool // for _, city := range items { // if *city == *item { // found = true // break // } // } // if !found { // t.Fatal("item not found") // } // all = all[1:] // } // } // fmt.Printf("wrote %d cities (flat) in %s (%.0f/ops)\n", len(c), dur, float64(len(c))/dur.Seconds()) // withGIF := os.Getenv("GIFOUTPUT") != "" // if err := tr.SavePNG("ptr-flat-load-2d.png", 1000, 1000, 1.25/360.0, 0, true, withGIF, os.Stdout); err != nil { // t.Fatal(err) // } // if !withGIF { // fmt.Println("use GIFOUTPUT=1 for animated gif") // } // } func TestBenchmarks(t *testing.T) { var points []*Rect for i := 0; i < 2000000; i++ { x := rand.Float64()*360 - 180 y := rand.Float64()*180 - 90 points = append(points, ptrMakePoint(x, y)) } tr := New(D, M) start := time.Now() for i := len(points) / 2; i < len(points); i++ { tr.Insert(points[i].min, points[i].max, points[i].item) } dur := time.Since(start) log.Printf("insert 1M items one by one: %.3fs", dur.Seconds()) //// rarr := rand.Perm(len(points) / 2) start = time.Now() for i := 0; i < len(points)/2; i++ { a := points[rarr[i]+len(points)/2] b := points[rarr[i]] tr.Remove(a.min, a.max, a.item) tr.Insert(b.min, b.max, b.item) } dur = time.Since(start) log.Printf("replaced 1M items one by one: %.3fs", dur.Seconds()) points = points[:len(points)/2] //// start = time.Now() for i := 0; i < 1000; i++ { tr.Remove(points[i].min, points[i].max, points[i].item) } dur = time.Since(start) log.Printf("remove 100 items one by one: %.3fs", dur.Seconds()) //// bbox := ptrMakeRect(0, 0, 0+(360*0.0001), 0+(180*0.0001)) start = time.Now() for i := 0; i < 1000; i++ { tr.Search(bbox.min, bbox.max, func(_ interface{}) bool { return true }) } dur = time.Since(start) log.Printf("1000 searches of 0.01%% area: %.3fs", dur.Seconds()) //// bbox = ptrMakeRect(0, 0, 0+(360*0.01), 0+(180*0.01)) start = time.Now() for i := 0; i < 1000; i++ { tr.Search(bbox.min, bbox.max, func(_ interface{}) bool { return true }) } dur = time.Since(start) log.Printf("1000 searches of 1%% area: %.3fs", dur.Seconds()) //// bbox = ptrMakeRect(0, 0, 0+(360*0.10), 0+(180*0.10)) start = time.Now() for i := 0; i < 1000; i++ { tr.Search(bbox.min, bbox.max, func(_ interface{}) bool { return true }) } dur = time.Since(start) log.Printf("1000 searches of 10%% area: %.3fs", dur.Seconds()) /// var mins [][]float64 var maxs [][]float64 var items []interface{} for i := 0; i < len(points); i++ { mins = append(mins, points[i].min) maxs = append(maxs, points[i].max) items = append(items, points[i].item) } tr = New(D, M) start = time.Now() tr.Load(mins, maxs, items) dur = time.Since(start) log.Printf("bulk-insert 1M items: %.3fs", dur.Seconds()) } func assertEqual(t *testing.T, expected, actual interface{}) { t.Helper() if !reflect.DeepEqual(expected, actual) { t.Fatalf("expected '%v', got '%v'", expected, actual) } }