diff --git a/OpenNest.Engine.Opus55/FrontierPacker.cs b/OpenNest.Engine.Opus55/FrontierPacker.cs
new file mode 100644
index 0000000..63c8f61
--- /dev/null
+++ b/OpenNest.Engine.Opus55/FrontierPacker.cs
@@ -0,0 +1,272 @@
+using Clipper2Lib;
+using OpenNest.Engine.Jobs;
+using OpenNest.Geometry;
+
+namespace OpenNest.Engine.Opus55;
+
+/// Direction the packing front sweeps across the sheet (the free strip is left behind it).
+internal enum PackAxis
+{
+ /// Front moves in +X; parts settle toward low X, then low Y.
+ X,
+
+ /// Front moves in +Y; parts settle toward low Y, then low X.
+ Y,
+}
+
+internal sealed record Placed(Orientation Orientation, double X, double Y)
+{
+ public double Left => X + Orientation.MinX;
+ public double Right => X + Orientation.MaxX;
+ public double Bottom => Y + Orientation.MinY;
+ public double Top => Y + Orientation.MaxY;
+}
+
+internal sealed record SheetFill(NestPlateStock Stock, IReadOnlyList Parts, double PartArea);
+
+///
+/// Fills one sheet with a frontier-advance rule over incrementally maintained free regions.
+///
+/// For every (part type, orientation) still in play the packer keeps the exact set of legal
+/// reference points: the inner-fit rectangle of the work area minus the no-fit polygons of
+/// everything already placed. Each placement subtracts one translated NFP from each region,
+/// so regions only shrink, and a region that empties is retired for the rest of the sheet.
+///
+/// Choice rule, applied over all types and orientations at once (not in a fixed order):
+/// 1. Gap fill - if any part fits without pushing the packing front forward, place the
+/// largest such part at its lowest such point.
+/// 2. Otherwise advance - place the part whose front advance per unit area^beta is smallest,
+/// i.e. the one that buys the most material coverage for the sheet length it consumes.
+/// Parts are never placed in a sequence given up front; the sheet state decides what comes next.
+///
+internal sealed class FrontierPacker
+{
+ /// Slack added around the inner-fit rectangle so zero-width fits survive Clipper;
+ /// chosen points are clamped back, which moves them far less than the clearance margin.
+ private const double FitSlack = 2e-4;
+
+ private const double Tie = 1e-6;
+
+ private readonly IReadOnlyList types;
+ private readonly NoFitCache nfps;
+ private readonly NestPlateStock stock;
+ private readonly PackAxis axis;
+ private readonly double beta;
+ private readonly Box work;
+ private readonly WorkCounter counter;
+
+ public FrontierPacker(IReadOnlyList types, NoFitCache nfps, NestPlateStock stock, PackAxis axis, double beta, WorkCounter counter)
+ {
+ this.counter = counter;
+ this.types = types;
+ this.nfps = nfps;
+ this.stock = stock;
+ this.axis = axis;
+ this.beta = beta;
+ work = WorkArea(stock);
+ }
+
+ public static Box WorkArea(NestPlateStock stock)
+ {
+ var left = stock.Quadrant is 1 or 4 ? 0 : -stock.Size.Length;
+ var bottom = stock.Quadrant is 1 or 2 ? 0 : -stock.Size.Width;
+ return new Box(
+ left + stock.EdgeSpacing.Left,
+ bottom + stock.EdgeSpacing.Bottom,
+ stock.Size.Length - stock.EdgeSpacing.Left - stock.EdgeSpacing.Right,
+ stock.Size.Width - stock.EdgeSpacing.Bottom - stock.EdgeSpacing.Top
+ );
+ }
+
+ /// True when the orientation's bounds fit the work area at all (Box.Length is the X extent).
+ public static bool Fits(Orientation o, Box work) =>
+ o.Width <= work.Length + 1e-9 && o.Height <= work.Width + 1e-9;
+
+ public SheetFill Fill(IReadOnlyList remaining, CancellationToken token)
+ {
+ var left = remaining.ToArray();
+ var states = new List();
+ foreach (var type in types)
+ {
+ if (left[type.Index] <= 0)
+ continue;
+ foreach (var o in type.Orientations)
+ if (Fits(o, work))
+ states.Add(new Region(o, work));
+ }
+
+ var placed = new List();
+ var partArea = 0.0;
+ var front = axis == PackAxis.X ? work.Left : work.Bottom;
+
+ while (states.Count > 0)
+ {
+ token.ThrowIfCancellationRequested();
+ var choice = Choose(states, front);
+ if (choice == null)
+ break;
+
+ var (region, point) = choice.Value;
+ var part = new Placed(region.Orientation, point.x, point.y);
+ placed.Add(part);
+ var typeIndex = region.Orientation.TypeIndex;
+ partArea += types[typeIndex].Area;
+ front = System.Math.Max(front, axis == PackAxis.X ? part.Right : part.Top);
+
+ if (--left[typeIndex] == 0)
+ states.RemoveAll(s => s.Orientation.TypeIndex == typeIndex);
+
+ // Each surviving region loses the positions the new part now blocks. Regions are
+ // independent, so they update in parallel without affecting determinism.
+ var snapshot = states.ToArray();
+ counter.Add(snapshot.Length);
+ Parallel.For(
+ 0,
+ snapshot.Length,
+ new ParallelOptions { CancellationToken = token },
+ i => snapshot[i].Subtract(nfps.Get(part.Orientation, snapshot[i].Orientation), part.X, part.Y)
+ );
+ states.RemoveAll(s => s.IsEmpty);
+ }
+
+ return new SheetFill(stock, placed, partArea);
+ }
+
+ private (Region, PointD)? Choose(List states, double front)
+ {
+ Region? bestRegion = null;
+ var bestPoint = default(PointD);
+ var bestFills = false;
+ var bestValue = double.PositiveInfinity;
+ var bestSide = double.PositiveInfinity;
+ var bestLead = double.PositiveInfinity;
+
+ foreach (var region in states)
+ {
+ if (!region.TryLowest(axis, front, out var point, out var advance, out var side, out var lead))
+ continue;
+ var area = types[region.Orientation.TypeIndex].Area;
+ var fills = advance <= Tie;
+ // Gap fill prefers bigger parts (negated area); advance prefers least advance per area.
+ var value = fills ? -area : advance / System.Math.Pow(System.Math.Max(area, 1e-12), beta);
+
+ var better = bestRegion == null
+ || (fills && !bestFills)
+ || (
+ fills == bestFills
+ && (
+ value < bestValue - Tie * System.Math.Max(1, System.Math.Abs(bestValue))
+ || (
+ value <= bestValue + Tie * System.Math.Max(1, System.Math.Abs(bestValue))
+ && (side < bestSide - Tie || (side <= bestSide + Tie && lead < bestLead - Tie))
+ )
+ )
+ );
+ if (!better)
+ continue;
+ bestRegion = region;
+ bestPoint = point;
+ bestFills = fills;
+ bestValue = value;
+ bestSide = side;
+ bestLead = lead;
+ }
+
+ return bestRegion == null ? null : (bestRegion, bestPoint);
+ }
+
+ /// Legal reference points for one orientation on this sheet.
+ private sealed class Region
+ {
+ private readonly double minX, minY, maxX, maxY;
+ private PathsD free;
+ private RectD bounds;
+
+ public Region(Orientation orientation, Box work)
+ {
+ Orientation = orientation;
+ minX = work.Left - orientation.MinX;
+ maxX = work.Right - orientation.MaxX;
+ minY = work.Bottom - orientation.MinY;
+ maxY = work.Top - orientation.MaxY;
+ // Guard against fits that are infeasible by less than the bounds tolerance.
+ if (maxX < minX)
+ maxX = minX;
+ if (maxY < minY)
+ maxY = minY;
+ free = new PathsD
+ {
+ new PathD
+ {
+ new(minX - FitSlack, minY - FitSlack),
+ new(maxX + FitSlack, minY - FitSlack),
+ new(maxX + FitSlack, maxY + FitSlack),
+ new(minX - FitSlack, maxY + FitSlack),
+ },
+ };
+ bounds = Clipper.GetBounds(free);
+ }
+
+ public Orientation Orientation { get; }
+ public bool IsEmpty => free.Count == 0;
+
+ public void Subtract(Nfp nfp, double dx, double dy)
+ {
+ if (
+ nfp.Bounds.right + dx < bounds.left
+ || nfp.Bounds.left + dx > bounds.right
+ || nfp.Bounds.bottom + dy < bounds.top
+ || nfp.Bounds.top + dy > bounds.bottom
+ )
+ return;
+ var clip = Clipper.TranslatePaths(nfp.Region, dx, dy);
+ free = Clipper.Difference(free, clip, FillRule.NonZero, NoFitCache.Precision);
+ // Drop numerical dust; a sliver thinner than the precision grid is no real room.
+ free.RemoveAll(p => p.Count < 3);
+ bounds = free.Count == 0 ? default : Clipper.GetBounds(free);
+ }
+
+ ///
+ /// Best vertex of the free region: least front advance, then lowest cross-axis position,
+ /// then lowest leading edge. Vertices suffice because every score is linear in position.
+ ///
+ public bool TryLowest(PackAxis axis, double front, out PointD point, out double advance, out double side, out double lead)
+ {
+ point = default;
+ advance = side = lead = double.PositiveInfinity;
+ var found = false;
+ var o = Orientation;
+ foreach (var path in free)
+ foreach (var raw in path)
+ {
+ var x = System.Math.Clamp(raw.x, minX, maxX);
+ var y = System.Math.Clamp(raw.y, minY, maxY);
+ double reach, across, start;
+ if (axis == PackAxis.X)
+ {
+ reach = x + o.MaxX;
+ across = y + o.MinY;
+ start = x + o.MinX;
+ }
+ else
+ {
+ reach = y + o.MaxY;
+ across = x + o.MinX;
+ start = y + o.MinY;
+ }
+ var adv = System.Math.Max(0, reach - front);
+ var better = !found
+ || adv < advance - Tie
+ || (adv <= advance + Tie && (across < side - Tie || (across <= side + Tie && start < lead - Tie)));
+ if (!better)
+ continue;
+ found = true;
+ point = new PointD(x, y);
+ advance = adv;
+ side = across;
+ lead = start;
+ }
+ return found;
+ }
+ }
+}
diff --git a/OpenNest.Engine.Opus55/NoFitCache.cs b/OpenNest.Engine.Opus55/NoFitCache.cs
new file mode 100644
index 0000000..09fa25a
--- /dev/null
+++ b/OpenNest.Engine.Opus55/NoFitCache.cs
@@ -0,0 +1,171 @@
+using System.Collections.Concurrent;
+using Clipper2Lib;
+
+namespace OpenNest.Engine.Opus55;
+
+///
+/// Spacing-inflated footprints and the no-fit polygons between them, for one clearance value.
+///
+/// Every placed part owns a footprint: its outline grown by half the required clearance
+/// (plus its own chord tolerance). Two parts respect the clearance exactly when their
+/// footprints do not overlap, so the whole spacing rule reduces to NFP containment.
+/// NFPs are translation-invariant, so each (orientation, orientation) pair is computed once
+/// per job and reused by every sheet, stock trial and strategy variant.
+///
+internal sealed class NoFitCache
+{
+ /// Clipper decimal precision; 1e-4 job units is far below any margin we keep.
+ public const int Precision = 4;
+
+ private readonly double halfClearance;
+ private readonly ConcurrentDictionary<(int, int), PathD> footprints = new();
+ private readonly ConcurrentDictionary<(int, int, int, int), Lazy> nfps = new();
+
+ public NoFitCache(double clearance)
+ {
+ halfClearance = clearance / 2;
+ }
+
+ public PathD Footprint(Orientation o) =>
+ footprints.GetOrAdd((o.TypeIndex, o.Index), _ => BuildFootprint(o));
+
+ /// NFP of around placed at the origin.
+ public Nfp Get(Orientation fixedPart, Orientation moving) =>
+ nfps.GetOrAdd(
+ (fixedPart.TypeIndex, fixedPart.Index, moving.TypeIndex, moving.Index),
+ _ => new Lazy(() => Build(fixedPart, moving), LazyThreadSafetyMode.ExecutionAndPublication)
+ )
+ .Value;
+
+ private PathD BuildFootprint(Orientation o)
+ {
+ // Miter joins (squared past the limit) always contain the exact round offset, so the
+ // footprint is a superset of "every point within the clearance of the outline".
+ var inflated = Clipper.InflatePaths(
+ new PathsD { o.Outline },
+ halfClearance + o.Tolerance,
+ JoinType.Miter,
+ EndType.Polygon,
+ 2.0,
+ Precision,
+ 0.0
+ );
+ var best = inflated.OrderByDescending(p => System.Math.Abs(Clipper.Area(p))).First();
+ if (!Clipper.IsPositive(best))
+ best.Reverse();
+ return best;
+ }
+
+ private Nfp Build(Orientation fixedPart, Orientation moving)
+ {
+ var a = Footprint(fixedPart);
+ var b = Footprint(moving);
+ var negB = new PathD(b.Count);
+ foreach (var p in b)
+ negB.Add(new PointD(-p.x, -p.y));
+
+ PathsD region;
+ if (IsConvex(a) && IsConvex(b))
+ {
+ region = new PathsD { ConvexSum(a, negB) };
+ }
+ else
+ {
+ // A (+) P, with P = -B: a reference point the boundary sweep misses puts the moving
+ // copy of B clear of A's boundary, so that copy is inside A, contains A, or misses it.
+ // (A + p0) covers "B inside A" and (P + a0) covers "B swallows A"; both are needed.
+ var sweep = Minkowski.Sum(negB, a, true, Precision);
+ sweep.Add(Clipper.TranslatePath(a, negB[0].x, negB[0].y));
+ sweep.Add(Clipper.TranslatePath(negB, a[0].x, a[0].y));
+ region = Clipper.Union(sweep, new PathsD(), FillRule.NonZero, Precision);
+ }
+ return new Nfp(region, Clipper.GetBounds(region));
+ }
+
+ /// Minkowski sum of two convex CCW polygons by merging edges in angle order.
+ private static PathD ConvexSum(PathD a, PathD b)
+ {
+ var ia = LowestIndex(a);
+ var ib = LowestIndex(b);
+ var result = new PathD(a.Count + b.Count);
+ var current = new PointD(a[ia].x + b[ib].x, a[ia].y + b[ib].y);
+ int i = 0, j = 0;
+ while (i < a.Count || j < b.Count)
+ {
+ result.Add(current);
+ var ea = i < a.Count ? Edge(a, ia + i) : default;
+ var eb = j < b.Count ? Edge(b, ib + j) : default;
+ // Both edge sequences start at the lowest vertex, so their angles rise through [0, 2pi).
+ double order;
+ if (i >= a.Count)
+ order = -1;
+ else if (j >= b.Count)
+ order = 1;
+ else
+ {
+ var difference = EdgeAngle(eb) - EdgeAngle(ea);
+ order = System.Math.Abs(difference) < 1e-12 ? 0 : difference;
+ }
+ if (order > 0)
+ {
+ current = new PointD(current.x + ea.x, current.y + ea.y);
+ i++;
+ }
+ else if (order < 0)
+ {
+ current = new PointD(current.x + eb.x, current.y + eb.y);
+ j++;
+ }
+ else
+ {
+ current = new PointD(current.x + ea.x + eb.x, current.y + ea.y + eb.y);
+ i++;
+ j++;
+ }
+ }
+ return result;
+ }
+
+ private static double EdgeAngle(PointD edge)
+ {
+ var angle = System.Math.Atan2(edge.y, edge.x);
+ return angle < 0 ? angle + System.Math.PI * 2 : angle;
+ }
+
+ private static PointD Edge(PathD path, int index)
+ {
+ var from = path[index % path.Count];
+ var to = path[(index + 1) % path.Count];
+ return new PointD(to.x - from.x, to.y - from.y);
+ }
+
+ /// Lowest (then leftmost) vertex: the start of a CCW edge sequence sorted by angle.
+ private static int LowestIndex(PathD path)
+ {
+ var best = 0;
+ for (var i = 1; i < path.Count; i++)
+ if (path[i].y < path[best].y || (path[i].y == path[best].y && path[i].x < path[best].x))
+ best = i;
+ return best;
+ }
+
+ private static bool IsConvex(PathD path)
+ {
+ var n = path.Count;
+ if (n < 3)
+ return false;
+ for (var i = 0; i < n; i++)
+ {
+ var a = path[i];
+ var b = path[(i + 1) % n];
+ var c = path[(i + 2) % n];
+ var cross = (b.x - a.x) * (c.y - b.y) - (b.y - a.y) * (c.x - b.x);
+ if (cross < -1e-12)
+ return false;
+ }
+ return true;
+ }
+}
+
+/// Forbidden reference-point region (interior = overlap, boundary = touching) and its bounds.
+internal sealed record Nfp(PathsD Region, RectD Bounds);
diff --git a/OpenNest.Engine.Sonnet5/OpenNest.Engine.Sonnet5.csproj b/OpenNest.Engine.Opus55/OpenNest.Engine.Opus55.csproj
similarity index 65%
rename from OpenNest.Engine.Sonnet5/OpenNest.Engine.Sonnet5.csproj
rename to OpenNest.Engine.Opus55/OpenNest.Engine.Opus55.csproj
index 0ffbe7b..b8cab81 100644
--- a/OpenNest.Engine.Sonnet5/OpenNest.Engine.Sonnet5.csproj
+++ b/OpenNest.Engine.Opus55/OpenNest.Engine.Opus55.csproj
@@ -1,13 +1,14 @@
net8.0
- OpenNest.Engine.Sonnet5
- OpenNest.Engine.Sonnet5
+ OpenNest.Engine.Opus55
+ OpenNest.Engine.Opus55
enable
enable
+
diff --git a/OpenNest.Engine.Opus55/Opus55NestingEngine.cs b/OpenNest.Engine.Opus55/Opus55NestingEngine.cs
new file mode 100644
index 0000000..e0cfd4e
--- /dev/null
+++ b/OpenNest.Engine.Opus55/Opus55NestingEngine.cs
@@ -0,0 +1,294 @@
+using System;
+using System.Threading;
+using OpenNest.Engine.Jobs;
+
+namespace OpenNest.Engine.Opus55;
+
+///
+/// Frontier-advance NFP packer with look-ahead stock selection.
+///
+/// Per sheet, keeps the exact free region of every
+/// (part type, orientation) as inner-fit rectangle minus no-fit polygons, and repeatedly places
+/// either the largest part that fills a gap behind the packing front, or the part that advances
+/// the front least per unit of area covered. Across sheets, every available stock size is
+/// trial-packed and the one with the lowest estimated whole-job cost (its own net area plus the
+/// remaining demand at the best efficiency seen) is committed. A handful of deterministic
+/// strategy variants (front direction, area exponent) run whole-job, and the cheapest wins.
+///
+/// Fully deterministic: no clocks or randomness influence any decision.
+///
+public sealed class Opus55NestingEngine : INestingEngine
+{
+ ///
+ /// Extra clearance beyond the stock's part spacing, in job units. Validators polygonize arcs
+ /// circumscribed at 0.01 per side, so two tangent true arcs can read as up to 0.02 closer
+ /// than they are; the rest absorbs Clipper's 1e-4 grid and inner-fit clamping.
+ ///
+ internal const double ClearanceMargin = 0.022;
+
+ /// Strategy variants, tried in order: (front direction, area exponent beta).
+ private static readonly (PackAxis Axis, double Beta)[] Variants =
+ {
+ (PackAxis.X, 1.0),
+ (PackAxis.Y, 1.0),
+ (PackAxis.X, 0.5),
+ (PackAxis.Y, 0.5),
+ (PackAxis.X, 1.5),
+ (PackAxis.Y, 1.5),
+ };
+
+ ///
+ /// Deterministic work budget, in free-region subtractions, after which no further variant
+ /// starts. Keeps big jobs well inside benchmark timeouts without consulting a clock.
+ ///
+ internal long WorkBudget { get; init; } = 1_500_000;
+
+ public NestJobResult Solve(
+ NestJob job,
+ IProgress? progress = null,
+ CancellationToken token = default
+ )
+ {
+ ArgumentNullException.ThrowIfNull(job);
+ var types = PartCatalog.Build(job);
+ var solver = new Solver(job, types, progress, token);
+
+ // Demand that no offered stock can hold in any allowed orientation is reported unplaced.
+ var demand = new int[types.Count];
+ foreach (var type in types)
+ {
+ var placeable = job.Plates.Any(stock =>
+ stock.Quantity != 0
+ && type.Orientations.Any(o => FrontierPacker.Fits(o, FrontierPacker.WorkArea(stock)))
+ );
+ demand[type.Index] = placeable ? type.Part.Quantity : 0;
+ }
+
+ Plan? best = null;
+ foreach (var (axis, beta) in Variants)
+ {
+ token.ThrowIfCancellationRequested();
+ if (best != null && solver.Work.Value >= WorkBudget)
+ break;
+ var plan = solver.Plan(demand, axis, beta);
+ if (best == null || plan.IsBetterThan(best))
+ best = plan;
+ if (best.Unplaced == 0 && best.Sheets.Count == 0)
+ break;
+ }
+
+ // The last sheets hold the leftovers, which is where waste concentrates; re-plan them.
+ best = solver.ImproveTail(best!, WorkBudget * 2);
+ return BuildResult(job, types, best, progress);
+ }
+
+ /// Shared state for one solve: job, catalog, NFP caches, effort meter.
+ private sealed class Solver(
+ NestJob job,
+ IReadOnlyList types,
+ IProgress? progress,
+ CancellationToken token
+ )
+ {
+ private const int MaxTail = 3;
+ private readonly Dictionary caches = new();
+
+ public WorkCounter Work { get; } = new();
+
+ private double Penalty => job.Plates.Count == 0 ? 0 : job.Plates.Max(SheetEconomics.SheetArea);
+
+ public Plan Plan(int[] demand, PackAxis axis, double beta)
+ {
+ var run = Decode(demand, axis, beta, new Dictionary(StringComparer.Ordinal), job.Options.MaxPlates, null);
+ var unplaced = types.Sum(t => t.Part.Quantity) - run.Sheets.Sum(s => s.Parts.Count);
+ var reason = run.Reason;
+ if (unplaced > 0 && reason == NestJobStopReason.Completed)
+ reason = NestJobStopReason.NoPlacementFound; // Demand no stock can hold.
+ return new Plan(run.Sheets, run.Net + unplaced * Penalty, unplaced, reason);
+ }
+
+ ///
+ /// Takes the parts off the last k sheets (k = 1..3) and re-plans just that demand with
+ /// every stock forced as the first sheet, under every variant; the cheapest complete
+ /// re-plan that beats the current tail replaces it. Tails are small and effort is metered.
+ ///
+ public Plan ImproveTail(Plan plan, long budget)
+ {
+ var sheets = plan.Sheets.ToList();
+ for (var k = 1; k <= System.Math.Min(MaxTail, sheets.Count); k++)
+ {
+ if (Work.Value >= budget)
+ break;
+ var prefix = sheets.Take(sheets.Count - k).ToList();
+ var tail = sheets.Skip(sheets.Count - k).ToList();
+ var tailParts = tail.Sum(s => s.Parts.Count);
+ var tailNet = tail.Sum(s => SheetEconomics.NetArea(job.Options, s));
+ var tailDemand = new int[types.Count];
+ foreach (var part in tail.SelectMany(s => s.Parts))
+ tailDemand[part.Orientation.TypeIndex]++;
+ var used = prefix
+ .GroupBy(s => s.Stock.Id)
+ .ToDictionary(g => g.Key, g => g.Count(), StringComparer.Ordinal);
+ int? cap = job.Options.MaxPlates is int max ? max - prefix.Count : null;
+
+ Run? bestRun = null;
+ var bestNet = tailNet - 1e-9 * System.Math.Max(1, tailNet);
+ foreach (var (axis, beta) in Variants)
+ foreach (var first in job.Plates)
+ {
+ token.ThrowIfCancellationRequested();
+ var run = Decode(tailDemand, axis, beta, used, cap, first);
+ if (run.Sheets.Sum(s => s.Parts.Count) != tailParts || run.Net >= bestNet)
+ continue;
+ bestRun = run;
+ bestNet = run.Net;
+ }
+
+ if (bestRun == null)
+ continue;
+ sheets = prefix.Concat(bestRun.Sheets).ToList();
+ plan = plan with { Sheets = sheets.ToList(), Cost = plan.Cost - (tailNet - bestRun.Net) };
+ }
+ return plan;
+ }
+
+ private NoFitCache CacheFor(NestPlateStock stock)
+ {
+ var clearance = System.Math.Max(0, stock.PartSpacing) + ClearanceMargin;
+ if (!caches.TryGetValue(clearance, out var cache))
+ caches[clearance] = cache = new NoFitCache(clearance);
+ return cache;
+ }
+
+ ///
+ /// Greedy sheet-by-sheet decode. seeds finite-stock
+ /// accounting, bounds the sheets this run may add, and
+ /// , when set, forces the stock of the first sheet.
+ ///
+ private Run Decode(
+ int[] demand,
+ PackAxis axis,
+ double beta,
+ IReadOnlyDictionary usedBefore,
+ int? sheetCap,
+ NestPlateStock? first
+ )
+ {
+ var remaining = (int[])demand.Clone();
+ var used = job.Plates.ToDictionary(s => s.Id, s => usedBefore.GetValueOrDefault(s.Id), StringComparer.Ordinal);
+ var sheets = new List();
+ var net = 0.0;
+ NestJobStopReason reason;
+
+ while (true)
+ {
+ if (remaining.All(r => r == 0))
+ {
+ reason = NestJobStopReason.Completed;
+ break;
+ }
+ if (sheetCap is int cap && sheets.Count >= cap)
+ {
+ reason = NestJobStopReason.PlateLimitReached;
+ break;
+ }
+
+ var trials = new List<(SheetFill Fill, double Net)>();
+ foreach (var stock in job.Plates)
+ {
+ token.ThrowIfCancellationRequested();
+ if (sheets.Count == 0 && first != null && !ReferenceEquals(stock, first))
+ continue;
+ if (stock.Quantity is int available && used[stock.Id] >= available)
+ continue;
+ progress?.Report(new NestJobProgress(NestJobStage.EvaluatingCandidate, stock.Id, sheets.Count, 0, 0));
+ var packer = new FrontierPacker(types, CacheFor(stock), stock, axis, beta, Work);
+ var fill = packer.Fill(remaining, token);
+ if (fill.Parts.Count > 0)
+ trials.Add((fill, SheetEconomics.NetArea(job.Options, fill)));
+ }
+
+ if (trials.Count == 0)
+ {
+ var exhausted = job.Plates.Any(s => s.Quantity is int q && used[s.Id] >= q);
+ reason = exhausted ? NestJobStopReason.StockExhausted : NestJobStopReason.NoPlacementFound;
+ break;
+ }
+
+ // Look-ahead: charge whatever a trial leaves behind at the best efficiency any trial
+ // achieved, so a sheet that finishes the job competes fairly with a denser partial one.
+ var remainingArea = types.Sum(t => remaining[t.Index] * t.Area);
+ var bestRatio = trials.Min(t => t.Net / System.Math.Max(t.Fill.PartArea, 1e-12));
+ var chosen = trials
+ .Select((t, order) => (t.Fill, t.Net, order, Estimate: t.Net + System.Math.Max(0, remainingArea - t.Fill.PartArea) * bestRatio))
+ .OrderBy(t => t.Estimate)
+ .ThenByDescending(t => t.Fill.Parts.Count)
+ .ThenBy(t => t.order)
+ .First();
+
+ sheets.Add(chosen.Fill);
+ net += chosen.Net;
+ used[chosen.Fill.Stock.Id]++;
+ foreach (var part in chosen.Fill.Parts)
+ remaining[part.Orientation.TypeIndex]--;
+ }
+
+ return new Run(sheets, net, reason);
+ }
+ }
+
+ private sealed record Run(IReadOnlyList Sheets, double Net, NestJobStopReason Reason);
+
+ private static NestJobResult BuildResult(
+ NestJob job,
+ IReadOnlyList types,
+ Plan plan,
+ IProgress? progress
+ )
+ {
+ var placed = new int[types.Count];
+ var plates = new List(plan.Sheets.Count);
+ var committedParts = 0;
+ foreach (var sheet in plan.Sheets)
+ {
+ var placements = sheet.Parts.Select(p =>
+ {
+ var type = types[p.Orientation.TypeIndex];
+ return new NestJobPlacement(type.Part.Id, placed[type.Index]++, p.X, p.Y, p.Orientation.Rotation);
+ });
+ plates.Add(new NestJobPlateResult(plates.Count, sheet.Stock, placements.ToList()));
+ committedParts += sheet.Parts.Count;
+ progress?.Report(new NestJobProgress(NestJobStage.PlateCommitted, sheet.Stock.Id, plates.Count - 1, plates.Count, committedParts));
+ }
+
+ var fulfillment = types.Select(t => new PartFulfillment(t.Part.Id, t.Part.Quantity, placed[t.Index], t.Part.Quantity - placed[t.Index]));
+ var usage = job.Plates.Select(stock =>
+ {
+ var count = plan.Sheets.Count(s => ReferenceEquals(s.Stock, stock));
+ return new StockUsage(stock.Id, count, stock.Quantity - count);
+ });
+ var status = plan.Unplaced == 0 ? NestJobStatus.Complete : NestJobStatus.Incomplete;
+ return new NestJobResult(status, plan.Reason, plates, fulfillment.ToList(), usage.ToList());
+ }
+
+ private sealed record Plan(IReadOnlyList Sheets, double Cost, int Unplaced, NestJobStopReason Reason)
+ {
+ public bool IsBetterThan(Plan other)
+ {
+ if (Unplaced != other.Unplaced)
+ return Unplaced < other.Unplaced;
+ var scale = System.Math.Max(1, System.Math.Max(Cost, other.Cost));
+ if (System.Math.Abs(Cost - other.Cost) > 1e-9 * scale)
+ return Cost < other.Cost;
+ return Sheets.Count < other.Sheets.Count;
+ }
+ }
+}
+
+/// Deterministic effort meter shared by all packers in one solve.
+internal sealed class WorkCounter
+{
+ private long value;
+ public long Value => Interlocked.Read(ref value);
+ public void Add(long amount) => Interlocked.Add(ref value, amount);
+}
diff --git a/OpenNest.Engine.Opus55/PartCatalog.cs b/OpenNest.Engine.Opus55/PartCatalog.cs
new file mode 100644
index 0000000..6402a17
--- /dev/null
+++ b/OpenNest.Engine.Opus55/PartCatalog.cs
@@ -0,0 +1,274 @@
+using Clipper2Lib;
+using OpenNest.Converters;
+using OpenNest.Engine.Jobs;
+using OpenNest.Engine.Jobs.Adapters;
+using OpenNest.Geometry;
+
+namespace OpenNest.Engine.Opus55;
+
+///
+/// One allowed pose of a part type: its rotation, its polygonized outline at that rotation
+/// (reference point = snapshot origin), and the outline's conservative bounds.
+///
+internal sealed class Orientation
+{
+ public required int TypeIndex { get; init; }
+ public required int Index { get; init; }
+ public required double Rotation { get; init; }
+
+ /// CCW outline whose every point lies within of the true perimeter.
+ public required PathD Outline { get; init; }
+
+ /// Chord deviation used for arcs; footprints are grown by it to stay conservative.
+ public required double Tolerance { get; init; }
+
+ /// Outline bounds grown by the tolerance, so they contain the true perimeter.
+ public required double MinX { get; init; }
+ public required double MinY { get; init; }
+ public required double MaxX { get; init; }
+ public required double MaxY { get; init; }
+
+ public double Width => MaxX - MinX;
+ public double Height => MaxY - MinY;
+}
+
+internal sealed class PartType
+{
+ public required int Index { get; init; }
+ public required NestJobPart Part { get; init; }
+ public required double Area { get; init; }
+ public required IReadOnlyList Orientations { get; init; }
+}
+
+///
+/// Converts job snapshots into the polygon world the packer works in. Parts whose geometry
+/// cannot be read are kept with no orientations, so they surface as unplaced instead of
+/// failing the whole job.
+///
+internal static class PartCatalog
+{
+ /// Finest chord deviation of the working outline from true arcs, in job units.
+ public const double ChordTolerance = 0.002;
+
+ /// Outline vertex count above which arcs are polygonized more coarsely (NFP cost is ~n*m).
+ private const int TargetVertices = 64;
+
+ /// Hard cap on distinct orientations evaluated per part type.
+ private const int MaxOrientations = 8;
+
+ private const double TwoPi = System.Math.PI * 2;
+
+ public static IReadOnlyList Build(NestJob job)
+ {
+ // Fewer orientations per type for jobs with many distinct parts; every (type, rotation)
+ // pair costs a feasible-region update per placement.
+ var perType = System.Math.Clamp(48 / System.Math.Max(1, job.Parts.Count), 2, MaxOrientations);
+ var types = new List(job.Parts.Count);
+ for (var index = 0; index < job.Parts.Count; index++)
+ {
+ var part = job.Parts[index];
+ Shape? perimeter;
+ try
+ {
+ perimeter = ReadPerimeter(part.Geometry);
+ }
+ catch (Exception ex) when (ex is ArgumentException or NotSupportedException or InvalidOperationException)
+ {
+ perimeter = null;
+ }
+
+ if (perimeter == null)
+ {
+ types.Add(new PartType { Index = index, Part = part, Area = 0, Orientations = [] });
+ continue;
+ }
+
+ var angles = CandidateAngles(part.Rotation, perimeter, perType);
+ var tolerance = ChooseTolerance(perimeter);
+ var orientations = new List();
+ var signatures = new List();
+ foreach (var angle in angles)
+ {
+ var outline = Polygonize(perimeter, angle, tolerance);
+ if (outline.Count < 3)
+ continue;
+ // Point-symmetric parts (rectangles, discs...) look identical at several angles;
+ // evaluating duplicates only costs time.
+ var signature = Signature(outline);
+ if (signatures.Contains(signature))
+ continue;
+ signatures.Add(signature);
+ orientations.Add(MakeOrientation(index, orientations.Count, angle, outline, tolerance));
+ }
+
+ var area = orientations.Count == 0 ? 0 : System.Math.Abs(Clipper.Area(orientations[0].Outline));
+ types.Add(new PartType { Index = index, Part = part, Area = area, Orientations = orientations });
+ }
+ return types;
+ }
+
+ private static Shape? ReadPerimeter(PartGeometrySnapshot geometry)
+ {
+ var entities = ConvertProgram
+ .ToGeometry(DrawingJobMapper.ToProgram(geometry))
+ .Where(e => !ReferenceEquals(e.Layer, SpecialLayers.Rapid))
+ .ToList();
+ if (entities.Count == 0)
+ return null;
+ var profile = new ShapeProfile(entities);
+ return profile.Perimeter is { } perimeter && perimeter.Area() > 1e-9 ? perimeter : null;
+ }
+
+ ///
+ /// Coarsens arc polygonization (up to 0.1% of the part size) until the outline is small
+ /// enough for cheap Minkowski sums. Lines are always exact, so only arc-heavy parts pay.
+ ///
+ private static double ChooseTolerance(Shape perimeter)
+ {
+ var box = perimeter.BoundingBox;
+ var cap = System.Math.Max(ChordTolerance, 0.001 * System.Math.Max(box.Width, box.Length));
+ var tolerance = ChordTolerance;
+ while (tolerance * 2 <= cap && perimeter.ToPolygonWithTolerance(tolerance).Vertices.Count > TargetVertices)
+ tolerance *= 2;
+ return tolerance;
+ }
+
+ private static PathD Polygonize(Shape perimeter, double angle, double tolerance)
+ {
+ var shape = (Shape)perimeter.Clone();
+ if (angle != 0)
+ shape.Rotate(angle);
+ var polygon = shape.ToPolygonWithTolerance(tolerance);
+ var path = new PathD(polygon.Vertices.Count);
+ foreach (var v in polygon.Vertices)
+ {
+ if (path.Count > 0 && System.Math.Abs(path[^1].x - v.X) < 1e-9 && System.Math.Abs(path[^1].y - v.Y) < 1e-9)
+ continue;
+ path.Add(new PointD(v.X, v.Y));
+ }
+ if (path.Count > 1 && System.Math.Abs(path[0].x - path[^1].x) < 1e-9 && System.Math.Abs(path[0].y - path[^1].y) < 1e-9)
+ path.RemoveAt(path.Count - 1);
+ if (!Clipper.IsPositive(path))
+ path.Reverse();
+ return path;
+ }
+
+ private static Orientation MakeOrientation(int typeIndex, int index, double angle, PathD outline, double tolerance)
+ {
+ var bounds = Clipper.GetBounds(outline);
+ return new Orientation
+ {
+ TypeIndex = typeIndex,
+ Index = index,
+ Rotation = angle,
+ Outline = outline,
+ Tolerance = tolerance,
+ MinX = bounds.left - tolerance,
+ MinY = bounds.top - tolerance, // Clipper RectD: top is the minimum Y.
+ MaxX = bounds.right + tolerance,
+ MaxY = bounds.bottom + tolerance,
+ };
+ }
+
+ private static string Signature(PathD outline)
+ {
+ var bounds = Clipper.GetBounds(outline);
+ var points = outline
+ .Select(p => (System.Math.Round(p.x - bounds.left, 5), System.Math.Round(p.y - bounds.top, 5)))
+ .OrderBy(p => p.Item1)
+ .ThenBy(p => p.Item2)
+ .Select(p => $"{p.Item1:R},{p.Item2:R}");
+ return string.Join(";", points);
+ }
+
+ ///
+ /// Rotations to try, all satisfying the part's policy. Automatic parts get the four
+ /// right angles plus the two orientations that align their minimum-area bounding
+ /// rectangle with the sheet axes.
+ ///
+ internal static List CandidateAngles(RotationPolicy policy, Shape perimeter, int limit)
+ {
+ var raw = new List();
+ switch (policy.Kind)
+ {
+ case RotationPolicyKind.Fixed:
+ raw.Add(policy.Start);
+ if (policy.Allow180Equivalent)
+ raw.Add(policy.Start + System.Math.PI);
+ break;
+
+ case RotationPolicyKind.BoundedSweep:
+ {
+ var steps = (int)System.Math.Floor((policy.End - policy.Start) / policy.Step + 1e-9);
+ var samples = System.Math.Min(steps + 1, policy.Allow180Equivalent ? System.Math.Max(1, limit / 2) : limit);
+ for (var i = 0; i < samples; i++)
+ {
+ var k = samples == 1 ? 0 : (int)System.Math.Round(i * (double)steps / (samples - 1));
+ raw.Add(policy.Start + k * policy.Step);
+ if (policy.Allow180Equivalent)
+ raw.Add(policy.Start + k * policy.Step + System.Math.PI);
+ }
+ break;
+ }
+
+ default:
+ {
+ var rightAngles = new[] { 0, System.Math.PI / 2, System.Math.PI, System.Math.PI * 1.5 };
+ var aligned = AlignedAngle(perimeter);
+ raw.Add(0);
+ raw.Add(System.Math.PI / 2);
+ if (aligned is double a)
+ {
+ raw.Add(Normalize(a));
+ raw.Add(Normalize(a + System.Math.PI / 2));
+ }
+ raw.Add(System.Math.PI);
+ raw.Add(System.Math.PI * 1.5);
+ if (aligned is double b)
+ {
+ raw.Add(Normalize(b + System.Math.PI));
+ raw.Add(Normalize(b + System.Math.PI * 1.5));
+ }
+ break;
+ }
+ }
+
+ var result = new List();
+ foreach (var angle in raw)
+ {
+ if (!policy.Allows(angle))
+ continue;
+ if (result.Any(existing => SameTurn(existing, angle)))
+ continue;
+ result.Add(angle);
+ if (result.Count >= limit)
+ break;
+ }
+ return result;
+ }
+
+ private static double? AlignedAngle(Shape perimeter)
+ {
+ var polygon = perimeter.ToPolygonWithTolerance(ChordTolerance * 5);
+ if (polygon.Vertices.Count < 3)
+ return null;
+ var mbr = RotatingCalipers.MinimumBoundingRectangle(polygon.Vertices);
+ var angle = Normalize(-mbr.Angle) % (System.Math.PI / 2);
+ // Already axis-aligned (within ~0.05°): the right angles cover it.
+ if (angle < 1e-3 || System.Math.PI / 2 - angle < 1e-3)
+ return null;
+ return angle;
+ }
+
+ private static double Normalize(double angle)
+ {
+ var value = angle % TwoPi;
+ return value < 0 ? value + TwoPi : value;
+ }
+
+ private static bool SameTurn(double a, double b)
+ {
+ var delta = System.Math.Abs(Normalize(a - b));
+ return delta < 1e-9 || TwoPi - delta < 1e-9;
+ }
+}
diff --git a/OpenNest.Engine.Opus55/README.md b/OpenNest.Engine.Opus55/README.md
new file mode 100644
index 0000000..d648b37
--- /dev/null
+++ b/OpenNest.Engine.Opus55/README.md
@@ -0,0 +1,95 @@
+# OpenNest.Engine.Opus55
+
+An independent whole-job `INestingEngine`: **frontier-advance NFP packing with look-ahead
+stock selection**. It does not call, wrap, or select over any built-in engine
+(`StockLadderNestingEngine`, `FixedStrategyNestingEngine` strategies, `PlateNesterFactory`,
+`NestingEngineRegistry`), nor the removed `OpenNest.Engine/Nfp` bottom-left-fill/annealing code.
+Every placement decision (which part, which rotation, where, on which sheet) comes from the logic below.
+
+## Algorithm
+
+**1. Geometry (`PartCatalog`, `NoFitCache`)**
+- Each part's outer perimeter is polygonized with a known chord tolerance (0.002 by default,
+ coarsened for arc-heavy parts until the outline is ≤ ~64 vertices, capped at 0.1% of part size).
+- Candidate rotations come from the part's `RotationPolicy`: for `Automatic`, the four right
+ angles plus the two orientations that axis-align the minimum-area bounding rectangle
+ (`RotatingCalipers`); for sweeps, up to 8 evenly spaced legal steps. Point-symmetric duplicates are dropped.
+- Each orientation gets a **footprint**: outline inflated (miter joins, so it contains the exact
+ round offset) by `(spacing + 0.022) / 2 + chordTolerance`. Two parts respect the spacing
+ when their footprints don't overlap. The 0.022 covers validators that polygonize arcs
+ circumscribed at 0.01 per side, plus Clipper's 1e-4 grid.
+- **No-fit polygons** between footprints come from Clipper2 Minkowski sums: an O(n+m)
+ edge merge for convex pairs, and for concave pairs the boundary sweep ∪ (A + p₀) ∪ (−B + a₀).
+ The last two terms cover "B inside A" and "B swallows A". NFPs are cached per orientation pair.
+
+**2. Sheet filling (`FrontierPacker`)**
+- For every (part type, orientation) still in play, the packer keeps the exact **free region** of
+ legal reference points: the inner-fit rectangle minus the NFPs of everything placed. Each
+ placement subtracts one translated NFP from each region (in parallel, which stays deterministic).
+ Regions only shrink, and an empty region is retired for the rest of the sheet.
+- At every step all remaining types × orientations compete (there is no fixed placement sequence):
+ 1. **Gap fill:** if any part fits without pushing the packing front forward, place the
+ *largest* such part at its lowest point.
+ 2. **Advance:** otherwise place the part with the least front advance per `area^β`, i.e. the
+ most material coverage for the sheet length it consumes.
+- The front sweeps along X or Y, which leaves one full-width offcut strip for salvage credit.
+
+**3. Whole job (`Opus55NestingEngine`, `SheetEconomics`)**
+- Sheet by sheet, every available stock size is trial-filled. The trial with the lowest
+ *estimated whole-job cost* (its net area, plus the remaining demand priced at the best
+ efficiency any trial achieved) is committed. This lets a sheet that finishes the job beat a
+ denser partial one.
+- Net area = sheet area − `SalvageRate` × the largest qualifying full-width/full-length edge
+ offcut. This is the objective the benchmark scores.
+- Six strategy variants (front axis X/Y × β ∈ {1, 0.5, 1.5}) each run whole-job, and the cheapest
+ plan wins (fewest unplaced, then cost, then sheets). A **tail re-plan** then re-decodes the
+ parts on the last 1–3 sheets with each stock forced first, and keeps any strictly cheaper result.
+- **Deterministic:** no clock or randomness affects decisions. Effort is capped by a
+ count-based work budget (free-region subtractions), not wall time.
+
+## Layout
+
+| File | Role |
+|---|---|
+| `Opus55NestingEngine.cs` | `Solve()`: demand filtering, variants, stock look-ahead, tail re-plan, result assembly |
+| `FrontierPacker.cs` | One-sheet fill: free regions and the gap-fill/advance choice rule |
+| `NoFitCache.cs` | Spacing footprints and cached NFPs (Clipper2 Minkowski) |
+| `PartCatalog.cs` | Snapshot → perimeter polygon per allowed orientation |
+| `SheetEconomics.cs` | Net-area objective with salvage credit |
+| `tests/` | xUnit suite. Layouts are judged by `OpenNest.Benchmark.NestValidator` |
+
+## Build / test
+
+```bash
+dotnet build OpenNest.Engine.Opus55/OpenNest.Engine.Opus55.csproj -c Release
+dotnet test OpenNest.Engine.Opus55/tests/OpenNest.Engine.Opus55.Tests.csproj
+```
+
+This project is intentionally **outside** `OpenNest.sln`, the same pattern as the
+`OpenNest.Engine.Aurora` plugin. It's discovered at runtime as a plugin.
+
+## Benchmark
+
+```bash
+dotnet build OpenNest.Benchmark/OpenNest.Benchmark.csproj -c Release
+mkdir -p OpenNest.Benchmark/bin/Release/net8.0/Engines
+cp OpenNest.Engine.Opus55/bin/Release/net8.0/OpenNest.Engine.Opus55.dll OpenNest.Benchmark/bin/Release/net8.0/Engines/
+dotnet OpenNest.Benchmark/bin/Release/net8.0/OpenNest.Benchmark.dll
+```
+
+The engine reports as `Opus55NestingEngine`.
+
+## Known limitations
+
+- **No part-in-part:** holes are treated as solid, so small parts never nest inside cutouts.
+- **Clearance padding:** gaps are ~0.022 (plus up to the chord tolerance) wider than the
+ required spacing, to stay valid under circumscribed-polygon validators. That's negligible in mm
+ and about 0.02" in inches. The constants are absolute and assume job units near inch/mm scale.
+- **Rotation coverage:** `Automatic` parts try at most 8 orientations (fewer when a job has many
+ distinct parts: `48 / partCount`, minimum 2). Free-angle rotations aren't explored beyond the MBR alignment.
+- **Greedy core:** there is no order/permutation search. The variants and tail re-plan are the only
+ search, and density on small mixed jobs trails what an interlocking-pair filler can reach.
+- **`NestJobPart.Priority` is ignored**, and progress reports only `EvaluatingCandidate`
+ per trial and `PlateCommitted` at the end, with no finer-grained progress.
+- Parts whose geometry has no readable closed perimeter, or that fit no offered stock at any
+ allowed rotation, are reported unplaced (`NoPlacementFound`) instead of failing the job.
diff --git a/OpenNest.Engine.Opus55/SheetEconomics.cs b/OpenNest.Engine.Opus55/SheetEconomics.cs
new file mode 100644
index 0000000..4ef3af9
--- /dev/null
+++ b/OpenNest.Engine.Opus55/SheetEconomics.cs
@@ -0,0 +1,41 @@
+using OpenNest.Engine.Jobs;
+
+namespace OpenNest.Engine.Opus55;
+
+///
+/// The objective the engine optimizes: sheet area consumed, less the salvage credit for the
+/// single largest full-width or full-length edge offcut the job's options allow. Packing toward
+/// one edge (see ) is what makes that offcut large.
+///
+internal static class SheetEconomics
+{
+ public static double SheetArea(NestPlateStock stock) => stock.Size.Width * stock.Size.Length;
+
+ public static double NetArea(NestJobOptions options, SheetFill fill)
+ {
+ var area = SheetArea(fill.Stock);
+ var minimum = options.MinimumSalvageDimension;
+ if (options.SalvageRate <= 0 || minimum <= 0 || fill.Parts.Count == 0)
+ return area;
+
+ var work = FrontierPacker.WorkArea(fill.Stock);
+ var gap = fill.Stock.PartSpacing;
+ var left = fill.Parts.Min(p => p.Left);
+ var right = fill.Parts.Max(p => p.Right);
+ var bottom = fill.Parts.Min(p => p.Bottom);
+ var top = fill.Parts.Max(p => p.Top);
+ var offcuts = new[]
+ {
+ // Box.Length is the X extent, Box.Width the Y extent.
+ (work.Length, bottom - work.Bottom - gap),
+ (work.Length, work.Top - top - gap),
+ (left - work.Left - gap, work.Width),
+ (work.Right - right - gap, work.Width),
+ };
+ var salvage = 0.0;
+ foreach (var (a, b) in offcuts)
+ if (a >= minimum && b >= minimum)
+ salvage = System.Math.Max(salvage, a * b);
+ return area - options.SalvageRate * salvage;
+ }
+}
diff --git a/OpenNest.Engine.Opus55/tests/NoFitCacheTests.cs b/OpenNest.Engine.Opus55/tests/NoFitCacheTests.cs
new file mode 100644
index 0000000..5f1c093
--- /dev/null
+++ b/OpenNest.Engine.Opus55/tests/NoFitCacheTests.cs
@@ -0,0 +1,68 @@
+using System.Linq;
+using Clipper2Lib;
+using OpenNest.CNC;
+using OpenNest.Engine.Jobs;
+using OpenNest.Geometry;
+
+namespace OpenNest.Engine.Opus55.Tests;
+
+public class NoFitCacheTests
+{
+ [Theory]
+ [InlineData(0.0, 0.0)] // B's corner at A's corner: B covers A completely.
+ [InlineData(-5.0, -5.0)] // A deep inside B.
+ [InlineData(2.0, 0.5)] // Partial overlap.
+ public void ForbidsEveryOverlappingOffsetIncludingContainment(double dx, double dy)
+ {
+ var (small, big) = Orientations();
+ var nfp = new NoFitCache(0.1).Get(small, big);
+
+ Assert.True(Forbidden(nfp, new PointD(dx, dy)), $"offset ({dx}, {dy}) should be forbidden");
+ }
+
+ [Theory]
+ [InlineData(4.0, 0.0)] // Beside A, clear by more than the clearance.
+ [InlineData(0.0, -21.0)] // Below A.
+ [InlineData(-21.0, 0.0)] // Left of A.
+ public void AllowsClearOffsets(double dx, double dy)
+ {
+ var (small, big) = Orientations();
+ var nfp = new NoFitCache(0.1).Get(small, big);
+
+ Assert.False(Forbidden(nfp, new PointD(dx, dy)), $"offset ({dx}, {dy}) should be free");
+ }
+
+ /// A = 3x3 L (concave), B = 20x20 square; both at rotation 0 with origin at the lower-left.
+ private static (Orientation Small, Orientation Big) Orientations()
+ {
+ var job = new NestJob(
+ new[]
+ {
+ new NestJobPart("small", Snapshot((0, 0), (3, 0), (3, 1), (1, 1), (1, 3), (0, 3)), 1, 0, RotationPolicy.Fixed(0)),
+ new NestJobPart("big", Snapshot((0, 0), (20, 0), (20, 20), (0, 20)), 1, 0, RotationPolicy.Fixed(0)),
+ },
+ new[] { new NestPlateStock("s", new Size(100, 100)) }
+ );
+ var types = PartCatalog.Build(job);
+ return (types[0].Orientations.Single(), types[1].Orientations.Single());
+ }
+
+ private static bool Forbidden(Nfp nfp, PointD point)
+ {
+ var winding = 0;
+ foreach (var path in nfp.Region)
+ if (Clipper.PointInPolygon(point, path) == PointInPolygonResult.IsInside)
+ winding += Clipper.IsPositive(path) ? 1 : -1;
+ return winding != 0;
+ }
+
+ private static PartGeometrySnapshot Snapshot(params (double X, double Y)[] points)
+ {
+ var program = new Program();
+ program.Codes.Add(new RapidMove(points[0].X, points[0].Y));
+ foreach (var (x, y) in points.Skip(1))
+ program.Codes.Add(new LinearMove(x, y));
+ program.Codes.Add(new LinearMove(points[0].X, points[0].Y));
+ return PartGeometrySnapshot.FromProgram(program);
+ }
+}
diff --git a/OpenNest.Engine.Sonnet5/tests/OpenNest.Engine.Sonnet5.Tests.csproj b/OpenNest.Engine.Opus55/tests/OpenNest.Engine.Opus55.Tests.csproj
similarity index 73%
rename from OpenNest.Engine.Sonnet5/tests/OpenNest.Engine.Sonnet5.Tests.csproj
rename to OpenNest.Engine.Opus55/tests/OpenNest.Engine.Opus55.Tests.csproj
index ee0d1ae..c89db0e 100644
--- a/OpenNest.Engine.Sonnet5/tests/OpenNest.Engine.Sonnet5.Tests.csproj
+++ b/OpenNest.Engine.Opus55/tests/OpenNest.Engine.Opus55.Tests.csproj
@@ -13,7 +13,9 @@
-
+
+
+
diff --git a/OpenNest.Engine.Opus55/tests/Opus55NestingEngineTests.cs b/OpenNest.Engine.Opus55/tests/Opus55NestingEngineTests.cs
new file mode 100644
index 0000000..4beb32b
--- /dev/null
+++ b/OpenNest.Engine.Opus55/tests/Opus55NestingEngineTests.cs
@@ -0,0 +1,283 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using OpenNest.Benchmark;
+using OpenNest.CNC;
+using OpenNest.Engine.Jobs;
+using OpenNest.Engine.Jobs.Adapters;
+using OpenNest.Geometry;
+
+namespace OpenNest.Engine.Opus55.Tests;
+
+public class Opus55NestingEngineTests
+{
+ [Fact]
+ public void RectanglesFitOnOneSheetWithSpacing()
+ {
+ var job = Job(new[] { Part("rect", Rectangle(10, 5), 12) }, new[] { Stock("sheet", 48, 96, spacing: 0.25) });
+
+ var result = new Opus55NestingEngine().Solve(job);
+
+ AssertValid(job, result);
+ Assert.Equal(NestJobStatus.Complete, result.Status);
+ Assert.Single(result.Plates);
+ Assert.Equal(12, result.Plates[0].Placements.Count);
+ }
+
+ [Theory]
+ [InlineData(1)]
+ [InlineData(2)]
+ [InlineData(3)]
+ [InlineData(4)]
+ public void MixedArcAndConcavePartsAreValidInEveryQuadrant(int quadrant)
+ {
+ var job = Job(
+ new[]
+ {
+ Part("disc", Disc(3), 10),
+ Part("ell", LShape(12, 8, 4), 10),
+ Part("tri", Triangle(9, 6), 10),
+ Part("slot", Obround(10, 3), 6),
+ },
+ new[] { Stock("sheet", 40, 60, spacing: 0.5, edge: new Spacing(0.5, 0.5, 0.5, 0.5), quadrant: quadrant) }
+ );
+
+ var result = new Opus55NestingEngine().Solve(job);
+
+ AssertValid(job, result);
+ Assert.Equal(NestJobStatus.Complete, result.Status);
+ }
+
+ [Fact]
+ public void ZeroSpacingStillKeepsPartsApartForValidation()
+ {
+ var job = Job(new[] { Part("disc", Disc(2), 30), Part("rect", Rectangle(7, 3), 20) }, new[] { Stock("sheet", 30, 40) });
+
+ var result = new Opus55NestingEngine().Solve(job);
+
+ AssertValid(job, result);
+ Assert.Equal(NestJobStatus.Complete, result.Status);
+ }
+
+ [Fact]
+ public void LargeAndSmallConcavePartsShareASheet()
+ {
+ // End-to-end companion to NoFitCacheTests' containment cases (the precise regression guard).
+ var job = Job(
+ new[] { Part("small", LShape(3, 3, 1), 6), Part("big", Rectangle(20, 20), 2) },
+ new[] { Stock("sheet", 25, 45, spacing: 0.25) }
+ );
+
+ var result = new Opus55NestingEngine().Solve(job);
+
+ AssertValid(job, result);
+ Assert.Equal(NestJobStatus.Complete, result.Status);
+ }
+
+ [Fact]
+ public void PicksTheCheaperSheetWhenItHoldsEverything()
+ {
+ var job = Job(
+ new[] { Part("square", Rectangle(10, 10), 4) },
+ new[] { Stock("big", 60, 120, spacing: 0.25), Stock("small", 25, 25, spacing: 0.25) }
+ );
+
+ var result = new Opus55NestingEngine().Solve(job);
+
+ AssertValid(job, result);
+ Assert.Equal(NestJobStatus.Complete, result.Status);
+ Assert.Equal("small", Assert.Single(result.Plates).StockId);
+ }
+
+ [Fact]
+ public void SpillsOntoAdditionalSheets()
+ {
+ var job = Job(new[] { Part("rect", Rectangle(20, 10), 25) }, new[] { Stock("sheet", 30, 50, spacing: 0.5) });
+
+ var result = new Opus55NestingEngine().Solve(job);
+
+ AssertValid(job, result);
+ Assert.Equal(NestJobStatus.Complete, result.Status);
+ Assert.True(result.Plates.Count > 1);
+ Assert.Equal(25, result.Plates.Sum(p => p.Placements.Count));
+ var indices = result.Plates.SelectMany(p => p.Placements).Select(p => p.InstanceIndex).OrderBy(i => i);
+ Assert.Equal(Enumerable.Range(0, 25), indices);
+ }
+
+ [Fact]
+ public void RespectsFixedAndBoundedRotationPolicies()
+ {
+ var fixedPolicy = RotationPolicy.Fixed(0);
+ var sweep = RotationPolicy.BoundedSweep(0, System.Math.PI / 2, System.Math.PI / 4);
+ var job = Job(
+ new[]
+ {
+ Part("fixed", LShape(10, 6, 3), 8, fixedPolicy),
+ Part("swept", Triangle(8, 5), 8, sweep),
+ },
+ new[] { Stock("sheet", 40, 60, spacing: 0.25) }
+ );
+
+ var result = new Opus55NestingEngine().Solve(job);
+
+ AssertValid(job, result);
+ foreach (var placement in result.Plates.SelectMany(p => p.Placements))
+ {
+ var policy = placement.PartId == "fixed" ? fixedPolicy : sweep;
+ Assert.True(policy.Allows(placement.Rotation), $"{placement.PartId} at {placement.Rotation}");
+ }
+ }
+
+ [Fact]
+ public void OversizedPartIsReportedUnplacedWithoutBlockingOthers()
+ {
+ var job = Job(
+ new[] { Part("huge", Rectangle(100, 100), 1), Part("small", Rectangle(5, 5), 3) },
+ new[] { Stock("sheet", 20, 20) }
+ );
+
+ var result = new Opus55NestingEngine().Solve(job);
+
+ AssertValid(job, result);
+ Assert.Equal(NestJobStatus.Incomplete, result.Status);
+ Assert.Equal(NestJobStopReason.NoPlacementFound, result.StopReason);
+ Assert.Equal(1, result.Fulfillment.Single(f => f.PartId == "huge").Unplaced);
+ Assert.Equal(3, result.Fulfillment.Single(f => f.PartId == "small").Placed);
+ }
+
+ [Fact]
+ public void StopsWhenFiniteStockRunsOut()
+ {
+ var job = Job(new[] { Part("rect", Rectangle(9, 9), 20) }, new[] { Stock("sheet", 20, 20, quantity: 2) });
+
+ var result = new Opus55NestingEngine().Solve(job);
+
+ AssertValid(job, result);
+ Assert.Equal(NestJobStopReason.StockExhausted, result.StopReason);
+ Assert.Equal(2, result.Plates.Count);
+ var usage = Assert.Single(result.StockUsage);
+ Assert.Equal(2, usage.Used);
+ Assert.Equal(0, usage.Remaining);
+ }
+
+ [Fact]
+ public void HonorsMaxPlates()
+ {
+ var job = Job(
+ new[] { Part("rect", Rectangle(9, 9), 20) },
+ new[] { Stock("sheet", 20, 20) },
+ new NestJobOptions(maxPlates: 1)
+ );
+
+ var result = new Opus55NestingEngine().Solve(job);
+
+ AssertValid(job, result);
+ Assert.Single(result.Plates);
+ Assert.Equal(NestJobStopReason.PlateLimitReached, result.StopReason);
+ }
+
+ [Fact]
+ public void IsDeterministic()
+ {
+ NestJob Build() =>
+ Job(
+ new[] { Part("disc", Disc(2.5), 12), Part("ell", LShape(9, 7, 3), 12), Part("tri", Triangle(7, 7), 12) },
+ new[] { Stock("a", 30, 45, spacing: 0.3), Stock("b", 40, 40, spacing: 0.3) }
+ );
+
+ var first = new Opus55NestingEngine().Solve(Build());
+ var second = new Opus55NestingEngine().Solve(Build());
+
+ Assert.Equal(Describe(first), Describe(second));
+ }
+
+ [Fact]
+ public void HasPublicParameterlessConstructorForPluginDiscovery()
+ {
+ var engine = Activator.CreateInstance(typeof(Opus55NestingEngine));
+ Assert.IsAssignableFrom(engine);
+ }
+
+ // ---- helpers -------------------------------------------------------------------------
+
+ private static string Describe(NestJobResult result) =>
+ string.Join(
+ "|",
+ result.Plates.Select(p =>
+ p.StockId + ":" + string.Join(",", p.Placements.Select(x => $"{x.PartId}#{x.InstanceIndex}@{x.X:R},{x.Y:R},{x.Rotation:R}"))
+ )
+ );
+
+ private static void AssertValid(NestJob job, NestJobResult result)
+ {
+ var materialized = NestResultMaterializer.Materialize(job, result);
+ var runs = materialized.Nest.Plates.Select(plate => (Plate: plate, Parts: plate.Parts.ToList())).ToList();
+ var requirements = job.Parts.ToDictionary(
+ p => materialized.DrawingsByPartId[p.Id],
+ p => (p.Id, p.Quantity),
+ ReferenceEqualityComparer.Instance
+ );
+ var validation = NestValidator.Validate(runs, requirements);
+ NestValidator.ValidateAgainstJob(job, result, job.Parts.ToDictionary(p => p.Id, p => p.Id), validation);
+ Assert.True(validation.Valid, string.Join(Environment.NewLine, validation.Violations));
+
+ foreach (var f in result.Fulfillment)
+ Assert.Equal(f.Requested, f.Placed + f.Unplaced);
+ }
+
+ private static NestJob Job(NestJobPart[] parts, NestPlateStock[] stock, NestJobOptions? options = null) =>
+ new(parts, stock, options);
+
+ private static NestJobPart Part(string id, Program program, int quantity, RotationPolicy? rotation = null) =>
+ new(id, PartGeometrySnapshot.FromProgram(program), quantity, 0, rotation);
+
+ /// Y extent.
+ /// X extent.
+ private static NestPlateStock Stock(
+ string id,
+ double width,
+ double length,
+ double spacing = 0,
+ Spacing edge = default,
+ int quadrant = 1,
+ int? quantity = null
+ ) => new(id, new Size(width, length), quantity, spacing, edge, quadrant);
+
+ private static Program Polyline(params (double X, double Y)[] points)
+ {
+ var program = new Program();
+ program.Codes.Add(new RapidMove(points[0].X, points[0].Y));
+ foreach (var (x, y) in points.Skip(1))
+ program.Codes.Add(new LinearMove(x, y));
+ program.Codes.Add(new LinearMove(points[0].X, points[0].Y));
+ return program;
+ }
+
+ private static Program Rectangle(double w, double h) => Polyline((0, 0), (w, 0), (w, h), (0, h));
+
+ private static Program Triangle(double w, double h) => Polyline((0, 0), (w, 0), (w * 0.3, h));
+
+ private static Program LShape(double w, double h, double t) => Polyline((0, 0), (w, 0), (w, t), (t, t), (t, h), (0, h));
+
+ private static Program Disc(double r)
+ {
+ var program = new Program();
+ program.Codes.Add(new RapidMove(r, 0));
+ program.Codes.Add(new ArcMove(-r, 0, 0, 0, RotationType.CCW));
+ program.Codes.Add(new ArcMove(r, 0, 0, 0, RotationType.CCW));
+ return program;
+ }
+
+ /// Stadium: two semicircular ends joined by straight sides, offset from the origin.
+ private static Program Obround(double length, double width)
+ {
+ var r = width / 2;
+ var program = new Program();
+ program.Codes.Add(new RapidMove(1 + r, 1));
+ program.Codes.Add(new LinearMove(1 + length - r, 1));
+ program.Codes.Add(new ArcMove(1 + length - r, 1 + width, 1 + length - r, 1 + r, RotationType.CCW));
+ program.Codes.Add(new LinearMove(1 + r, 1 + width));
+ program.Codes.Add(new ArcMove(1 + r, 1, 1 + r, 1 + r, RotationType.CCW));
+ return program;
+ }
+}
diff --git a/OpenNest.Engine.Sonnet5/README.md b/OpenNest.Engine.Sonnet5/README.md
deleted file mode 100644
index ba2ffbb..0000000
--- a/OpenNest.Engine.Sonnet5/README.md
+++ /dev/null
@@ -1,57 +0,0 @@
-# OpenNest.Engine.Sonnet5
-
-An independent `INestingEngine` implementation — **not** a wrapper, ensemble, or
-selector over OpenNest's built-in engines (`StockLadderNestingEngine`,
-`FixedStrategyNestingEngine` "Default"/"Strip"/"Vertical Remnant"/"Horizontal Remnant`,
-or anything reachable through `PlateNesterFactory`/`NestingEngineRegistry`).
-`Solve()` must never call, instantiate, or otherwise delegate a placement decision
-to one of those.
-
-## Allowed building blocks
-
-Low-level geometry/data-structure primitives are fair game — they are not nesting
-strategies:
-
-- `OpenNest.Core` geometry: `Polygon`, `Shape`, `BoundingBox`, `Vector`, `Box`,
- `ConvexHull`, `ConvexDecomposition`, `RotatingCalipers`, `Collision` (overlap/spacing
- checks), `NoFitPolygon`, `ShapeProfile`, `SpatialQuery`.
-- `OpenNest.Engine` support types if useful: `PartBoundary`, `RotationAnalysis`,
- `AngleCandidateBuilder` — the *decision logic* using them must be your own (don't just
- call `BestFitFinder`/`PairEvaluator`/`RotationSlideStrategy`, which are the existing
- best-fit engine's internals).
-
-## What to fill in
-
-`Sonnet5NestingEngine.cs` — implement `Solve()`. Pick and document an actual
-placement strategy (NFP-based sliding placement, skyline/shelf packer,
-simulated-annealing/genetic layout search, guillotine-cut packer,
-physics/gravity-settling, etc). It's fine to be simpler or worse than the built-in
-engines to start; it must not be the same algorithm re-derived through indirection.
-
-## Build
-
-```bash
-dotnet build OpenNest.Engine.Sonnet5/OpenNest.Engine.Sonnet5.csproj
-```
-
-This project is intentionally **outside** `OpenNest.sln` (same pattern as the
-`OpenNest.Engine.Aurora` plugin) — it's discovered at runtime as a plugin, not built
-as part of the main solution.
-
-## Try it out with the benchmark
-
-`OpenNest.Benchmark` auto-loads plugin engines from an `Engines/` folder next to its
-own build output:
-
-```bash
-dotnet build OpenNest.Engine.Sonnet5/OpenNest.Engine.Sonnet5.csproj -c Release
-dotnet build OpenNest.Benchmark/OpenNest.Benchmark.csproj -c Release
-
-mkdir -p OpenNest.Benchmark/bin/Release/net8.0/Engines
-cp OpenNest.Engine.Sonnet5/bin/Release/net8.0/OpenNest.Engine.Sonnet5.dll OpenNest.Benchmark/bin/Release/net8.0/Engines/
-
-dotnet OpenNest.Benchmark/bin/Release/net8.0/OpenNest.Benchmark.dll
-```
-
-Your engine will show up in the report under its CLR type name (`Sonnet5NestingEngine`),
-competing on equal footing against the built-in engines.
diff --git a/OpenNest.Engine.Sonnet5/Sonnet5NestingEngine.cs b/OpenNest.Engine.Sonnet5/Sonnet5NestingEngine.cs
deleted file mode 100644
index c0958be..0000000
--- a/OpenNest.Engine.Sonnet5/Sonnet5NestingEngine.cs
+++ /dev/null
@@ -1,41 +0,0 @@
-using System;
-using System.Threading;
-using OpenNest.Engine.Jobs;
-
-namespace OpenNest.Engine.Sonnet5;
-
-///
-/// TODO: name and describe the actual placement strategy here (e.g. "skyline packer with
-/// greedy shelf assignment", "NFP-based sliding placement with simulated-annealing order
-/// search", etc). This must be an independently designed algorithm — see README.md.
-///
-public sealed class Sonnet5NestingEngine : INestingEngine
-{
- public NestJobResult Solve(
- NestJob job,
- IProgress? progress = null,
- CancellationToken token = default
- )
- {
- ArgumentNullException.ThrowIfNull(job);
-
- // TODO: implement independent placement logic here.
- //
- // Do NOT call NestingEngineRegistry.Create(...), PlateNesterFactory, or any
- // FixedStrategyNestingEngine / StockLadderNestingEngine instance from inside this
- // method. Decide placements yourself using OpenNest.Core / OpenNest.Geometry
- // primitives (Polygon, NoFitPolygon, Collision, ConvexHull, RotatingCalipers, etc).
- //
- // job.Parts -> requested parts (PartGeometrySnapshot geometry, quantity, priority, rotation policy)
- // job.Plates -> candidate stock sheets (size, spacing, quadrant, quantity)
- // job.Options -> job-wide options
- //
- // Return a NestJobResult built from NestJobPlateResult (one per used sheet, holding
- // ordered NestJobPlacement values), PartFulfillment (requested vs placed per part id),
- // and StockUsage (sheets used per stock id).
-
- throw new NotImplementedException(
- "Sonnet5 nesting engine placement logic not yet implemented."
- );
- }
-}
diff --git a/OpenNest.Engine.Sonnet5/tests/Sonnet5NestingEngineTests.cs b/OpenNest.Engine.Sonnet5/tests/Sonnet5NestingEngineTests.cs
deleted file mode 100644
index 158af80..0000000
--- a/OpenNest.Engine.Sonnet5/tests/Sonnet5NestingEngineTests.cs
+++ /dev/null
@@ -1,20 +0,0 @@
-using System;
-using System.Collections.Generic;
-using OpenNest.Engine.Jobs;
-using OpenNest.Geometry;
-
-namespace OpenNest.Engine.Sonnet5.Tests;
-
-public class Sonnet5NestingEngineTests
-{
- [Fact]
- public void SolveReturnsAResultForASingleSimplePart()
- {
- // TODO: replace with a real fixture once Solve() is implemented — this only
- // proves the plumbing (project reference, constructor, interface) is wired up.
- var engine = new Sonnet5NestingEngine();
-
- Assert.NotNull(engine);
- Assert.IsAssignableFrom(engine);
- }
-}