package svg import ( "math" "testing" "time" "b612.me/astro/eclipse" "b612.me/astro/internal/geodata" "b612.me/astro/internal/svgmap" ) type projectedFillCase struct { name string date time.Time pole float64 projection geodata.Projection } // 偏食可见域的填充必须与球面并集同域:极冠环在等经纬图上沿地图上、下边缘闭合、 // 接缝两侧各贴自己那一侧的边缘,在正射球面图上沿视界圆盘闭合; // 把窗口两端折到同侧会让闭合边横穿整幅图并丢掉极冠。 func TestSolarEclipseProjectedPartialFillMatchesUnion(t *testing.T) { cst := time.FixedZone("CST", 8*3600) cases := make([]projectedFillCase, 0, 6) for _, item := range []projectedFillCase{ {"2012-05-21 北极冠", time.Date(2012, 5, 21, 12, 0, 0, 0, cst), 90, ""}, {"2021-12-04 南极冠", time.Date(2021, 12, 4, 12, 0, 0, 0, cst), -90, ""}, {"2035-09-02 无冠", time.Date(2035, 9, 2, 12, 0, 0, 0, cst), 0, ""}, } { for _, projection := range []geodata.Projection{ geodata.ProjectionEquirectangular, geodata.ProjectionOrthographic, } { item := item item.projection = projection cases = append(cases, item) } } for _, item := range cases { item := item t.Run(item.name+"/"+string(item.projection), func(t *testing.T) { info, ok := eclipse.SolarEclipsePartialFootprints(item.date, eclipse.SolarEclipsePartialFootprintOptions{ Step: 5 * time.Minute, BoundaryPoints: 180, }) if !ok { t.Fatal("missing partial footprints") } polygons, ok := solarEclipsePartialBandPolygons(info) if !ok || len(polygons) == 0 { t.Fatal("missing partial-band union") } options := SolarEclipseMapSVGOptions{Width: 1200, Height: 800, Location: cst} layout := solarEclipseMapLayoutFor(options, item.projection, geodata.GeoPoint{Longitude: info.Eclipse.GreatestLongitude, Latitude: info.Eclipse.GreatestLatitude}) frame := layout.frame rings := projectedPartialRings(t, polygons, frame) if item.projection == geodata.ProjectionEquirectangular { for _, ring := range rings { for index := range ring { point, next := ring[index], ring[(index+1)%len(ring)] if math.Abs(next[0]-point[0]) <= frame.Width/2 || math.Abs(next[1]-point[1]) >= 1 { continue } if frame.Y-point[1] > 1 && point[1]-(frame.Y+frame.Height) > 1 { t.Fatalf("填充边横穿整幅图:y=%.3f x=%.3f→%.3f", point[1], point[0], next[0]) } } } } projected := func(longitude, latitude float64) (float64, float64, bool) { x, y, ok := frame.Project(longitude, latitude) if !ok { return 0, 0, false } if item.projection != geodata.ProjectionOrthographic { return x, y, true } radius := math.Min(frame.Width, frame.Height) / 2 if math.Hypot(x-(frame.X+frame.Width/2), y-(frame.Y+frame.Height/2)) > radius+1 { return 0, 0, false } return x, y, true } polarSamples := 0 if item.pole != 0 { latitude := math.Copysign(89.5, item.pole) for longitude := -180.0; longitude < 180; longitude += 5 { point := geodata.GeoPoint{Longitude: longitude, Latitude: latitude} if !geodata.SphericalPolygonsContainPoints(polygons, []geodata.GeoPoint{point})[0] { continue } x, y, ok := projected(point.Longitude, point.Latitude) if !ok { continue } if !planeFillContains(rings, x, y) { t.Fatalf("纬度 %.1f 经度 %.1f 在球面并集内但未被填充", latitude, longitude) } polarSamples++ } if polarSamples < 48 { t.Fatalf("极冠样本只有 %d 个", polarSamples) } } checked, skipped := 0, 0 for latitude := -85.0; latitude <= 85; latitude += 5 { for longitude := -180.0; longitude < 180; longitude += 10 { point := geodata.GeoPoint{Longitude: longitude, Latitude: latitude} x, y, ok := projected(point.Longitude, point.Latitude) if !ok { continue } if planeFillBoundaryDistance(rings, x, y) < 3 { skipped++ continue } spherical := geodata.SphericalPolygonsContainPoints(polygons, []geodata.GeoPoint{point})[0] if plane := planeFillContains(rings, x, y); plane != spherical { t.Fatalf("%.1f %.1f 填充=%v 球面并集=%v", longitude, latitude, plane, spherical) } checked++ } } if checked < 400 || skipped > checked/4 { t.Fatalf("一致性样本 checked=%d skipped=%d", checked, skipped) } }) } } func projectedPartialRings(t *testing.T, polygons [][]geodata.GeoPoint, frame svgmap.Frame) [][][2]float64 { t.Helper() var rings [][][2]float64 for _, polygon := range polygons { points := make([]geodata.GeoPoint, len(polygon)) copy(points, polygon) for _, fragment := range svgmap.PolygonFragments(points, frame.Clip()) { ring := make([][2]float64, 0, len(fragment)) for _, point := range fragment { x, y, ok := frame.Project(point.Longitude, point.Latitude) if !ok { ring = nil break } ring = append(ring, [2]float64{x, y}) } if len(ring) >= 3 { rings = append(rings, ring) } } } if len(rings) == 0 { t.Fatal("no projected fragment") } return rings } func planeFillContains(rings [][][2]float64, x, y float64) bool { winding := 0 for _, ring := range rings { for index := range ring { first, second := ring[index], ring[(index+1)%len(ring)] if first[1] <= y { if second[1] > y && (second[0]-first[0])*(y-first[1])-(x-first[0])*(second[1]-first[1]) > 0 { winding++ } } else if second[1] <= y && (second[0]-first[0])*(y-first[1])-(x-first[0])*(second[1]-first[1]) < 0 { winding-- } } } return winding != 0 } func planeFillBoundaryDistance(rings [][][2]float64, x, y float64) float64 { distance := math.Inf(1) for _, ring := range rings { for index := range ring { first, second := ring[index], ring[(index+1)%len(ring)] distance = math.Min(distance, planeSegmentDistance(x, y, first, second)) } } return distance } func planeSegmentDistance(x, y float64, first, second [2]float64) float64 { dx, dy := second[0]-first[0], second[1]-first[1] length := dx*dx + dy*dy fraction := 0.0 if length > 0 { fraction = math.Max(0, math.Min(1, ((x-first[0])*dx+(y-first[1])*dy)/length)) } return math.Hypot(x-(first[0]+fraction*dx), y-(first[1]+fraction*dy)) }