diff --git a/d2graph/cyclediagram.go b/d2graph/cyclediagram.go new file mode 100644 index 0000000000..a8f8e0b1ad --- /dev/null +++ b/d2graph/cyclediagram.go @@ -0,0 +1,7 @@ +package d2graph + +import "oss.terrastruct.com/d2/d2target" + +func (obj *Object) IsCycleDiagram() bool { + return obj != nil && obj.Shape.Value == d2target.ShapeCycleDiagram +} diff --git a/d2graph/grid_diagram.go b/d2graph/griddiagram.go similarity index 100% rename from d2graph/grid_diagram.go rename to d2graph/griddiagram.go diff --git a/d2graph/seqdiagram.go b/d2graph/sequencediagram.go similarity index 100% rename from d2graph/seqdiagram.go rename to d2graph/sequencediagram.go diff --git a/d2layouts/d2cycle/layout.go b/d2layouts/d2cycle/layout.go new file mode 100644 index 0000000000..d3d89cc1b4 --- /dev/null +++ b/d2layouts/d2cycle/layout.go @@ -0,0 +1,259 @@ +package d2cycle + +import ( + "context" + "math" + + "oss.terrastruct.com/d2/d2graph" + "oss.terrastruct.com/d2/lib/geo" + "oss.terrastruct.com/d2/lib/label" + "oss.terrastruct.com/d2/lib/shape" + "oss.terrastruct.com/util-go/go2" +) + +const ( + MIN_RADIUS = 200 + PADDING = 20 + ARC_STEPS = 30 +) + +// Layout arranges nodes in a circle and routes each edge as a circular arc +// that starts and ends on the borders of its source and destination shapes. +func Layout(ctx context.Context, g *d2graph.Graph, layout d2graph.LayoutGraph) error { + objects := g.Root.ChildrenArray + if len(objects) == 0 { + return nil + } + + for _, obj := range g.Objects { + positionLabelsIcons(obj) + } + + radius := calculateRadius(objects) + positionObjects(objects, radius) + + for _, edge := range g.Edges { + createCircularArc(edge, radius) + } + + return nil +} + +func calculateRadius(objects []*d2graph.Object) float64 { + numObjects := float64(len(objects)) + maxSize := 0.0 + for _, obj := range objects { + size := math.Max(obj.Box.Width, obj.Box.Height) + maxSize = math.Max(maxSize, size) + } + minRadius := (maxSize/2.0 + PADDING) / math.Sin(math.Pi/numObjects) + return math.Max(minRadius, MIN_RADIUS) +} + +func positionObjects(objects []*d2graph.Object, radius float64) { + numObjects := float64(len(objects)) + angleOffset := -math.Pi / 2 + + for i, obj := range objects { + angle := angleOffset + (2 * math.Pi * float64(i) / numObjects) + x := radius * math.Cos(angle) + y := radius * math.Sin(angle) + + obj.TopLeft = geo.NewPoint( + x-obj.Box.Width/2, + y-obj.Box.Height/2, + ) + } +} + +// createCircularArc routes a single edge as a circular arc whose endpoints +// lie exactly on the borders of the source and destination shapes. The arc +// belongs to the layout circle, centered at the origin with the given radius; +// the source and destination shape centers both lie on that circle. +func createCircularArc(edge *d2graph.Edge, radius float64) { + if edge.Src == nil || edge.Dst == nil { + return + } + + srcCenter := edge.Src.Center() + dstCenter := edge.Dst.Center() + origin := geo.NewPoint(0, 0) + + srcAngle := math.Atan2(srcCenter.Y, srcCenter.X) + dstAngle := math.Atan2(dstCenter.Y, dstCenter.X) + if dstAngle < srcAngle { + dstAngle += 2 * math.Pi + } + sweep := dstAngle - srcAngle + srcShape := edge.Src.ToShape() + dstShape := edge.Dst.ToShape() + if sweep <= 0 { + fallbackStraightRoute(edge, srcShape, dstShape, srcCenter, dstCenter) + return + } + + startAngle, hasStart := nextBoundaryAngle(edge.Src.Box, origin, radius, srcAngle, sweep, true) + endAngle, hasEnd := nextBoundaryAngle(edge.Dst.Box, origin, radius, srcAngle, sweep, false) + if !hasStart || !hasEnd || endAngle <= startAngle { + fallbackStraightRoute(edge, srcShape, dstShape, srcCenter, dstCenter) + return + } + + path := make([]*geo.Point, 0, ARC_STEPS+1) + for i := 0; i <= ARC_STEPS; i++ { + t := float64(i) / float64(ARC_STEPS) + angle := startAngle + t*(endAngle-startAngle) + path = append(path, geo.NewPoint(radius*math.Cos(angle), radius*math.Sin(angle))) + } + + // path[0] / path[len-1] sit on the bounding-box border of the source / + // destination shape. For non-rectangular shapes (circle, oval, hexagon, + // cloud, ...) the bounding box border is not the shape border, so trace + // each endpoint inward from the shape center to the actual shape outline. + // TraceToShapeBorder is a no-op for rectangular shapes. + path[0] = shape.TraceToShapeBorder(srcShape, path[0], srcCenter) + path[len(path)-1] = shape.TraceToShapeBorder(dstShape, path[len(path)-1], dstCenter) + + edge.Route = path + edge.IsCurve = true +} + +// fallbackStraightRoute renders a straight connection whose endpoints are +// clipped to the source and destination shape borders along the line between +// the two centers, used when the analytic arc geometry degenerates (zero +// sweep, no boundary crossing in the arc range, etc.). +func fallbackStraightRoute(edge *d2graph.Edge, srcShape, dstShape shape.Shape, srcCenter, dstCenter *geo.Point) { + srcBorder := clipToShapeBorder(srcShape, edge.Src.Box, srcCenter, dstCenter) + dstBorder := clipToShapeBorder(dstShape, edge.Dst.Box, dstCenter, srcCenter) + edge.Route = []*geo.Point{srcBorder, dstBorder} + edge.IsCurve = false +} + +// clipToShapeBorder returns the point where a ray from `from` (assumed inside +// `box`) toward `toward` first exits the actual shape outline. The bounding +// box is consulted first to obtain a rectangular border point, then the shape +// helper refines it for non-rectangular shapes. +func clipToShapeBorder(shp shape.Shape, box *geo.Box, from, toward *geo.Point) *geo.Point { + dx := toward.X - from.X + dy := toward.Y - from.Y + dist := math.Hypot(dx, dy) + if dist == 0 { + return from + } + // Extend the ray well past `toward` so the segment definitely exits the + // box even when `toward` itself sits inside the box. + diag := math.Hypot(box.Width, box.Height) + scale := (dist + 2*diag) / dist + extended := geo.NewPoint(from.X+dx*scale, from.Y+dy*scale) + + rectBorder := extended + if pts := box.Intersections(geo.Segment{Start: from, End: extended}); len(pts) > 0 { + rectBorder = pts[0] + } + return shape.TraceToShapeBorder(shp, rectBorder, from) +} + +// nextBoundaryAngle scans the angles where the layout circle crosses an edge +// of the box. When forSrc is true it returns the smallest such angle strictly +// greater than srcAngle (the point where the arc exits the source box). When +// forSrc is false it returns the largest such angle strictly less than +// srcAngle+sweep (the point where the arc enters the destination box). The +// boolean is false when no crossing exists in the (srcAngle, srcAngle+sweep) +// range, in which case the caller falls back to the shape center. +func nextBoundaryAngle(box *geo.Box, origin *geo.Point, radius, srcAngle, sweep float64, forSrc bool) (float64, bool) { + candidates := boxCircleIntersectionAngles(box, origin, radius) + endAngle := srcAngle + sweep + + var best float64 + found := false + for _, raw := range candidates { + a := raw + for a <= srcAngle { + a += 2 * math.Pi + } + for a > srcAngle+2*math.Pi { + a -= 2 * math.Pi + } + if a >= endAngle { + continue + } + if !found { + best = a + found = true + continue + } + if forSrc { + if a < best { + best = a + } + } else { + if a > best { + best = a + } + } + } + return best, found +} + +func boxCircleIntersectionAngles(box *geo.Box, origin *geo.Point, radius float64) []float64 { + edges := boxEdges(box) + var angles []float64 + for _, e := range edges { + for _, p := range e.IntersectCircle(origin, radius) { + angles = append(angles, math.Atan2(p.Y-origin.Y, p.X-origin.X)) + } + } + return angles +} + +func boxEdges(box *geo.Box) []geo.Segment { + tl := box.TopLeft + tr := geo.NewPoint(tl.X+box.Width, tl.Y) + bl := geo.NewPoint(tl.X, tl.Y+box.Height) + br := geo.NewPoint(tl.X+box.Width, tl.Y+box.Height) + return []geo.Segment{ + {Start: tl, End: tr}, + {Start: tr, End: br}, + {Start: br, End: bl}, + {Start: bl, End: tl}, + } +} + +// positionLabelsIcons applies a sensible default label/icon position when one +// has not been explicitly specified. +func positionLabelsIcons(obj *d2graph.Object) { + if obj.Icon != nil && obj.IconPosition == nil { + if len(obj.ChildrenArray) > 0 { + obj.IconPosition = go2.Pointer(label.OutsideTopLeft.String()) + if obj.LabelPosition == nil { + obj.LabelPosition = go2.Pointer(label.OutsideTopRight.String()) + return + } + } else if obj.SQLTable != nil || obj.Class != nil || obj.Language != "" { + obj.IconPosition = go2.Pointer(label.OutsideTopLeft.String()) + } else { + obj.IconPosition = go2.Pointer(label.InsideMiddleCenter.String()) + } + } + + if obj.HasLabel() && obj.LabelPosition == nil { + if len(obj.ChildrenArray) > 0 { + obj.LabelPosition = go2.Pointer(label.OutsideTopCenter.String()) + } else if obj.HasOutsideBottomLabel() { + obj.LabelPosition = go2.Pointer(label.OutsideBottomCenter.String()) + } else if obj.Icon != nil { + obj.LabelPosition = go2.Pointer(label.InsideTopCenter.String()) + } else { + obj.LabelPosition = go2.Pointer(label.InsideMiddleCenter.String()) + } + + if float64(obj.LabelDimensions.Width) > obj.Width || + float64(obj.LabelDimensions.Height) > obj.Height { + if len(obj.ChildrenArray) > 0 { + obj.LabelPosition = go2.Pointer(label.OutsideTopCenter.String()) + } else { + obj.LabelPosition = go2.Pointer(label.OutsideBottomCenter.String()) + } + } + } +} diff --git a/d2layouts/d2layouts.go b/d2layouts/d2layouts.go index c0d41e3973..de1c5a9da0 100644 --- a/d2layouts/d2layouts.go +++ b/d2layouts/d2layouts.go @@ -9,6 +9,7 @@ import ( "strings" "oss.terrastruct.com/d2/d2graph" + "oss.terrastruct.com/d2/d2layouts/d2cycle" "oss.terrastruct.com/d2/d2layouts/d2grid" "oss.terrastruct.com/d2/d2layouts/d2near" "oss.terrastruct.com/d2/d2layouts/d2sequence" @@ -20,12 +21,12 @@ import ( type DiagramType string -// a grid diagram at a constant near is const ( DefaultGraphType DiagramType = "" ConstantNearGraph DiagramType = "constant-near" GridDiagram DiagramType = "grid-diagram" SequenceDiagram DiagramType = "sequence-diagram" + CycleDiagram DiagramType = "cycle-diagram" ) type GraphInfo struct { @@ -260,6 +261,12 @@ func LayoutNested(ctx context.Context, g *d2graph.Graph, graphInfo GraphInfo, co if err != nil { return err } + case CycleDiagram: + log.Debug(ctx, "layout sequence", slog.Any("rootlevel", g.RootLevel), slog.Any("shapes", g.PrintString())) + err = d2cycle.Layout(ctx, g, coreLayout) + if err != nil { + return err + } default: log.Debug(ctx, "default layout", slog.Any("rootlevel", g.RootLevel), slog.Any("shapes", g.PrintString())) err := coreLayout(ctx, g) @@ -364,6 +371,8 @@ func NestedGraphInfo(obj *d2graph.Object) (gi GraphInfo) { gi.DiagramType = SequenceDiagram } else if obj.IsGridDiagram() { gi.DiagramType = GridDiagram + } else if obj.IsCycleDiagram() { + gi.DiagramType = CycleDiagram } return gi } diff --git a/d2renderers/d2svg/d2svg.go b/d2renderers/d2svg/d2svg.go index 4001a853bd..0277fc33a3 100644 --- a/d2renderers/d2svg/d2svg.go +++ b/d2renderers/d2svg/d2svg.go @@ -834,37 +834,78 @@ func getArrowheadAdjustments(connection d2target.Connection, idToShape map[strin func pathData(connection d2target.Connection, srcAdj, dstAdj *geo.Point) string { var path []string route := connection.Route + if len(route) == 0 { + return "" + } + // Move command to start path = append(path, fmt.Sprintf("M %f %f", route[0].X+srcAdj.X, route[0].Y+srcAdj.Y, )) if connection.IsCurve { + // If we don't have enough points to do triple-step, handle small fallback + if len(route) < 3 { + // If only 1 or 2 points in route, just draw lines + for _, p := range route[1:] { + path = append(path, fmt.Sprintf("L %f %f", + p.X+dstAdj.X, p.Y+dstAdj.Y, + )) + } + return strings.Join(path, " ") + } + i := 1 - for ; i < len(route)-3; i += 3 { + // Process triple curves in steps of 3 + for ; i+2 < len(route)-1; i += 3 { path = append(path, fmt.Sprintf("C %f %f %f %f %f %f", route[i].X, route[i].Y, route[i+1].X, route[i+1].Y, route[i+2].X, route[i+2].Y, )) } - // final curve target adjustment - path = append(path, fmt.Sprintf("C %f %f %f %f %f %f", - route[i].X, route[i].Y, - route[i+1].X, route[i+1].Y, - route[i+2].X+dstAdj.X, - route[i+2].Y+dstAdj.Y, - )) + + // Now handle the “final” curve to last point + // Make sure i+2 is still within range + if i+2 < len(route) { + // last triple + path = append(path, fmt.Sprintf("C %f %f %f %f %f %f", + route[i].X, route[i].Y, + route[i+1].X, route[i+1].Y, + route[i+2].X+dstAdj.X, // final point plus dst adjustment + route[i+2].Y+dstAdj.Y, + )) + } else if i+1 < len(route) { + // We have i+1 but not i+2 => do a simpler final curve or line + path = append(path, fmt.Sprintf("C %f %f %f %f %f %f", + route[i].X, route[i].Y, + route[i].X, route[i].Y, // repeated for control + route[i+1].X+dstAdj.X, + route[i+1].Y+dstAdj.Y, + )) + } else { + // We have no final triple => do nothing or fallback line + } } else { + // Not a curve => the "rounded corner" logic for i := 1; i < len(route)-1; i++ { prevSource := route[i-1] prevTarget := route[i] currTarget := route[i+1] + + // Make sure i+1 is valid + if i+1 >= len(route) { + break + } + prevVector := prevSource.VectorTo(prevTarget) currVector := prevTarget.VectorTo(currTarget) - dist := geo.EuclideanDistance(prevTarget.X, prevTarget.Y, currTarget.X, currTarget.Y) + dist := geo.EuclideanDistance( + prevTarget.X, prevTarget.Y, + currTarget.X, currTarget.Y, + ) connectionBorderRadius := connection.BorderRadius units := math.Min(connectionBorderRadius, dist/2) @@ -872,20 +913,26 @@ func pathData(connection d2target.Connection, srcAdj, dstAdj *geo.Point) string prevTranslations := prevVector.Unit().Multiply(units).ToPoint() currTranslations := currVector.Unit().Multiply(units).ToPoint() + // Move to corner with "L" path = append(path, fmt.Sprintf("L %f %f", prevTarget.X-prevTranslations.X, prevTarget.Y-prevTranslations.Y, )) - // If the segment length is too small, instead of drawing 2 arcs, just skip this segment and bezier curve to the next one if units < connectionBorderRadius && i < len(route)-2 { + // Next checks i+2 => ensure it’s in range + if i+2 >= len(route) { + // can't do nextTarget => break or do fallback + continue + } nextTarget := route[i+2] - nextVector := geo.NewVector(nextTarget.X-currTarget.X, nextTarget.Y-currTarget.Y) - i++ + nextVector := geo.NewVector( + nextTarget.X-currTarget.X, + nextTarget.Y-currTarget.Y, + ) + i++ // skip next point nextTranslations := nextVector.Unit().Multiply(units).ToPoint() - // These 2 bezier control points aren't just at the corner -- they are reflected at the corner, which causes the curve to be ~tangent to the corner, - // which matches how the two arcs look path = append(path, fmt.Sprintf("C %f %f %f %f %f %f", // Control point prevTarget.X+prevTranslations.X, @@ -893,7 +940,7 @@ func pathData(connection d2target.Connection, srcAdj, dstAdj *geo.Point) string // Control point currTarget.X-nextTranslations.X, currTarget.Y-nextTranslations.Y, - // Where curve ends + // End currTarget.X+nextTranslations.X, currTarget.Y+nextTranslations.Y, )) @@ -907,11 +954,14 @@ func pathData(connection d2target.Connection, srcAdj, dstAdj *geo.Point) string } } - lastPoint := route[len(route)-1] - path = append(path, fmt.Sprintf("L %f %f", - lastPoint.X+dstAdj.X, - lastPoint.Y+dstAdj.Y, - )) + // Finally, draw a line to the last route point + dst offset + if len(route) > 1 { + lastPoint := route[len(route)-1] + path = append(path, fmt.Sprintf("L %f %f", + lastPoint.X+dstAdj.X, + lastPoint.Y+dstAdj.Y, + )) + } } return strings.Join(path, " ") diff --git a/d2target/d2target.go b/d2target/d2target.go index 63fcfacbf3..08f130c803 100644 --- a/d2target/d2target.go +++ b/d2target/d2target.go @@ -1072,6 +1072,7 @@ const ( ShapeSQLTable = "sql_table" ShapeImage = "image" ShapeSequenceDiagram = "sequence_diagram" + ShapeCycleDiagram = "cycle" ShapeHierarchy = "hierarchy" ) @@ -1100,6 +1101,7 @@ var Shapes = []string{ ShapeSQLTable, ShapeImage, ShapeSequenceDiagram, + ShapeCycleDiagram, ShapeHierarchy, } @@ -1170,6 +1172,7 @@ var DSL_SHAPE_TO_SHAPE_TYPE = map[string]string{ ShapeSQLTable: shape.TABLE_TYPE, ShapeImage: shape.IMAGE_TYPE, ShapeSequenceDiagram: shape.SQUARE_TYPE, + ShapeCycleDiagram: shape.SQUARE_TYPE, ShapeHierarchy: shape.SQUARE_TYPE, } diff --git a/e2etests/testdata/txtar/cycle-diagram/dagre/board.exp.json b/e2etests/testdata/txtar/cycle-diagram/dagre/board.exp.json new file mode 100644 index 0000000000..a74da10e86 --- /dev/null +++ b/e2etests/testdata/txtar/cycle-diagram/dagre/board.exp.json @@ -0,0 +1,1496 @@ +{ + "name": "", + "config": { + "sketch": false, + "themeID": 0, + "darkThemeID": null, + "pad": null, + "center": null, + "layoutEngine": null + }, + "isFolderOnly": false, + "fontFamily": "SourceSansPro", + "monoFontFamily": "SourceCodePro", + "shapes": [ + { + "id": "1", + "type": "cycle", + "pos": { + "x": 0, + "y": 0 + }, + "width": 453, + "height": 466, + "opacity": 1, + "strokeDash": 0, + "strokeWidth": 2, + "borderRadius": 0, + "fill": "N7", + "stroke": "B1", + "animated": false, + "shadow": false, + "3d": false, + "multiple": false, + "double-border": false, + "tooltip": "", + "link": "", + "icon": null, + "iconPosition": "", + "blend": false, + "fields": null, + "methods": null, + "columns": null, + "label": "", + "fontSize": 28, + "fontFamily": "DEFAULT", + "language": "", + "color": "N1", + "italic": false, + "bold": false, + "underline": false, + "labelWidth": 0, + "labelHeight": 0, + "zIndex": 0, + "level": 1 + }, + { + "id": "1.a", + "type": "rectangle", + "pos": { + "x": -26, + "y": -233 + }, + "width": 53, + "height": 66, + "opacity": 1, + "strokeDash": 0, + "strokeWidth": 2, + "borderRadius": 0, + "fill": "B5", + "stroke": "B1", + "animated": false, + "shadow": false, + "3d": false, + "multiple": false, + "double-border": false, + "tooltip": "", + "link": "", + "icon": null, + "iconPosition": "", + "blend": false, + "fields": null, + "methods": null, + "columns": null, + "label": "a", + "fontSize": 16, + "fontFamily": "DEFAULT", + "language": "", + "color": "N1", + "italic": false, + "bold": true, + "underline": false, + "labelWidth": 8, + "labelHeight": 21, + "labelPosition": "INSIDE_MIDDLE_CENTER", + "zIndex": 0, + "level": 2 + }, + { + "id": "1.b", + "type": "rectangle", + "pos": { + "x": 173, + "y": -33 + }, + "width": 53, + "height": 66, + "opacity": 1, + "strokeDash": 0, + "strokeWidth": 2, + "borderRadius": 0, + "fill": "B5", + "stroke": "B1", + "animated": false, + "shadow": false, + "3d": false, + "multiple": false, + "double-border": false, + "tooltip": "", + "link": "", + "icon": null, + "iconPosition": "", + "blend": false, + "fields": null, + "methods": null, + "columns": null, + "label": "b", + "fontSize": 16, + "fontFamily": "DEFAULT", + "language": "", + "color": "N1", + "italic": false, + "bold": true, + "underline": false, + "labelWidth": 8, + "labelHeight": 21, + "labelPosition": "INSIDE_MIDDLE_CENTER", + "zIndex": 0, + "level": 2 + }, + { + "id": "1.c", + "type": "rectangle", + "pos": { + "x": -26, + "y": 167 + }, + "width": 53, + "height": 66, + "opacity": 1, + "strokeDash": 0, + "strokeWidth": 2, + "borderRadius": 0, + "fill": "B5", + "stroke": "B1", + "animated": false, + "shadow": false, + "3d": false, + "multiple": false, + "double-border": false, + "tooltip": "", + "link": "", + "icon": null, + "iconPosition": "", + "blend": false, + "fields": null, + "methods": null, + "columns": null, + "label": "c", + "fontSize": 16, + "fontFamily": "DEFAULT", + "language": "", + "color": "N1", + "italic": false, + "bold": true, + "underline": false, + "labelWidth": 8, + "labelHeight": 21, + "labelPosition": "INSIDE_MIDDLE_CENTER", + "zIndex": 0, + "level": 2 + }, + { + "id": "1.d", + "type": "rectangle", + "pos": { + "x": -227, + "y": -32 + }, + "width": 54, + "height": 66, + "opacity": 1, + "strokeDash": 0, + "strokeWidth": 2, + "borderRadius": 0, + "fill": "B5", + "stroke": "B1", + "animated": false, + "shadow": false, + "3d": false, + "multiple": false, + "double-border": false, + "tooltip": "", + "link": "", + "icon": null, + "iconPosition": "", + "blend": false, + "fields": null, + "methods": null, + "columns": null, + "label": "d", + "fontSize": 16, + "fontFamily": "DEFAULT", + "language": "", + "color": "N1", + "italic": false, + "bold": true, + "underline": false, + "labelWidth": 9, + "labelHeight": 21, + "labelPosition": "INSIDE_MIDDLE_CENTER", + "zIndex": 0, + "level": 2 + }, + { + "id": "2", + "type": "cycle", + "pos": { + "x": 513, + "y": 50 + }, + "width": 399, + "height": 366, + "opacity": 1, + "strokeDash": 0, + "strokeWidth": 2, + "borderRadius": 0, + "fill": "N7", + "stroke": "B1", + "animated": false, + "shadow": false, + "3d": false, + "multiple": false, + "double-border": false, + "tooltip": "", + "link": "", + "icon": null, + "iconPosition": "", + "blend": false, + "fields": null, + "methods": null, + "columns": null, + "label": "", + "fontSize": 28, + "fontFamily": "DEFAULT", + "language": "", + "color": "N1", + "italic": false, + "bold": false, + "underline": false, + "labelWidth": 0, + "labelHeight": 0, + "zIndex": 0, + "level": 1 + }, + { + "id": "2.a", + "type": "rectangle", + "pos": { + "x": 486, + "y": -183 + }, + "width": 53, + "height": 66, + "opacity": 1, + "strokeDash": 0, + "strokeWidth": 2, + "borderRadius": 0, + "fill": "B5", + "stroke": "B1", + "animated": false, + "shadow": false, + "3d": false, + "multiple": false, + "double-border": false, 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{ + shape: cycle + a -> b +} diff --git a/lib/geo/point.go b/lib/geo/point.go index ab8e034a02..4fb1082396 100644 --- a/lib/geo/point.go +++ b/lib/geo/point.go @@ -324,3 +324,12 @@ func RemovePoints(points Points, toRemove []bool) Points { } return without } + +func (v Vector) Normalize() Vector { + length := v.Length() + if length == 0 { + // avoid dividing by 0 + return Vector{0, 0} + } + return Vector{v[0] / length, v[1] / length} +} diff --git a/lib/geo/segment.go b/lib/geo/segment.go index ea29df98c9..c902ea890c 100644 --- a/lib/geo/segment.go +++ b/lib/geo/segment.go @@ -126,3 +126,41 @@ func (segment Segment) Length() float64 { func (segment Segment) ToVector() Vector { return NewVector(segment.End.X-segment.Start.X, segment.End.Y-segment.Start.Y) } + +// IntersectCircle returns intersection points of this segment with a circle +// centered at the given point with the given radius. Returned points lie on +// the segment (parameter t in [0,1]). A tangent contact yields a single +// point; the list is empty when the segment misses the circle, or only +// touches it outside its endpoints. +func (s Segment) IntersectCircle(center *Point, radius float64) []*Point { + dx := s.End.X - s.Start.X + dy := s.End.Y - s.Start.Y + fx := s.Start.X - center.X + fy := s.Start.Y - center.Y + a := dx*dx + dy*dy + if a == 0 { + return nil + } + b := 2 * (fx*dx + fy*dy) + c := fx*fx + fy*fy - radius*radius + disc := b*b - 4*a*c + if disc < 0 { + return nil + } + sqrtDisc := math.Sqrt(disc) + roots := []float64{(-b - sqrtDisc) / (2 * a)} + if disc > 0 { + roots = append(roots, (-b+sqrtDisc)/(2*a)) + } + var pts []*Point + for _, t := range roots { + if t < 0 { + continue + } + if t > 1 { + continue + } + pts = append(pts, NewPoint(s.Start.X+t*dx, s.Start.Y+t*dy)) + } + return pts +} diff --git a/lib/geo/segment_test.go b/lib/geo/segment_test.go index ce2836a7e5..afd8399a5a 100644 --- a/lib/geo/segment_test.go +++ b/lib/geo/segment_test.go @@ -31,3 +31,73 @@ func TestSegmentIntersections(t *testing.T) { intersections = s1.Intersections(*s5) assert.Equal(t, len(intersections), 0) } + +func TestSegmentIntersectCircle(t *testing.T) { + origin := NewPoint(0, 0) + + // segment passing through the origin → 2 intersections at (-r, 0) and (r, 0) + s := NewSegment(NewPoint(-10, 0), NewPoint(10, 0)) + pts := s.IntersectCircle(origin, 5) + assert.Equal(t, 2, len(pts)) + assert.InDelta(t, -5, pts[0].X, 1e-9) + assert.InDelta(t, 0, pts[0].Y, 1e-9) + assert.InDelta(t, 5, pts[1].X, 1e-9) + assert.InDelta(t, 0, pts[1].Y, 1e-9) + + // segment crossing the circle once with one endpoint inside + s = NewSegment(NewPoint(0, 0), NewPoint(10, 0)) + pts = s.IntersectCircle(origin, 5) + assert.Equal(t, 1, len(pts)) + assert.InDelta(t, 5, pts[0].X, 1e-9) + assert.InDelta(t, 0, pts[0].Y, 1e-9) + + // segment entirely outside the circle, no crossing + s = NewSegment(NewPoint(10, 10), NewPoint(20, 20)) + pts = s.IntersectCircle(origin, 5) + assert.Equal(t, 0, len(pts)) + + // segment entirely inside the circle, no crossing + s = NewSegment(NewPoint(-1, 0), NewPoint(1, 0)) + pts = s.IntersectCircle(origin, 5) + assert.Equal(t, 0, len(pts)) + + // segment endpoint on the circle + s = NewSegment(NewPoint(0, 0), NewPoint(5, 0)) + pts = s.IntersectCircle(origin, 5) + assert.Equal(t, 1, len(pts)) + assert.InDelta(t, 5, pts[0].X, 1e-9) + assert.InDelta(t, 0, pts[0].Y, 1e-9) + + // vertical segment chord intersecting the circle at two points + s = NewSegment(NewPoint(3, -10), NewPoint(3, 10)) + pts = s.IntersectCircle(origin, 5) + assert.Equal(t, 2, len(pts)) + assert.InDelta(t, 3, pts[0].X, 1e-9) + assert.InDelta(t, -4, pts[0].Y, 1e-9) + assert.InDelta(t, 3, pts[1].X, 1e-9) + assert.InDelta(t, 4, pts[1].Y, 1e-9) + + // circle centered off origin + c := NewPoint(10, 10) + s = NewSegment(NewPoint(0, 10), NewPoint(20, 10)) + pts = s.IntersectCircle(c, 5) + assert.Equal(t, 2, len(pts)) + assert.InDelta(t, 5, pts[0].X, 1e-9) + assert.InDelta(t, 10, pts[0].Y, 1e-9) + assert.InDelta(t, 15, pts[1].X, 1e-9) + assert.InDelta(t, 10, pts[1].Y, 1e-9) + + // tangent contact: the segment grazes the circle at a single point and + // must not be reported twice (regression test for the duplicated-root + // case when the discriminant is zero). + s = NewSegment(NewPoint(-10, 5), NewPoint(10, 5)) + pts = s.IntersectCircle(origin, 5) + assert.Equal(t, 1, len(pts)) + assert.InDelta(t, 0, pts[0].X, 1e-9) + assert.InDelta(t, 5, pts[0].Y, 1e-9) + + // degenerate zero-length segment returns nil + s = NewSegment(NewPoint(7, 7), NewPoint(7, 7)) + pts = s.IntersectCircle(origin, 5) + assert.Nil(t, pts) +}