feat(engine): add PatternTiler for unit cell tiling across plates

OpenNest.Engine/PatternTiler.cs

@@ -0,0 +1,52 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using OpenNest.Geometry;
+
+namespace OpenNest.Engine
+{
+    public static class PatternTiler
+    {
+        public static List<Part> Tile(List<Part> cell, Size plateSize, double partSpacing)
+        {
+            if (cell == null || cell.Count == 0)
+                return new List<Part>();
+
+            var cellBox = cell.GetBoundingBox();
+            var halfSpacing = partSpacing / 2;
+
+            var cellWidth = cellBox.Width + partSpacing;
+            var cellHeight = cellBox.Length + partSpacing;
+
+            if (cellWidth <= 0 || cellHeight <= 0)
+                return new List<Part>();
+
+            // Size.Width = X-axis, Size.Length = Y-axis
+            var cols = (int)System.Math.Floor(plateSize.Width / cellWidth);
+            var rows = (int)System.Math.Floor(plateSize.Length / cellHeight);
+
+            if (cols <= 0 || rows <= 0)
+                return new List<Part>();
+
+            var cellOrigin = cellBox.Location;
+            var baseOffset = new Vector(halfSpacing - cellOrigin.X, halfSpacing - cellOrigin.Y);
+
+            var result = new List<Part>(cols * rows * cell.Count);
+
+            for (var row = 0; row < rows; row++)
+            {
+                for (var col = 0; col < cols; col++)
+                {
+                    var tileOffset = baseOffset + new Vector(col * cellWidth, row * cellHeight);
+
+                    foreach (var part in cell)
+                    {
+                        result.Add(part.CloneAtOffset(tileOffset));
+                    }
+                }
+            }
+
+            return result;
+        }
+    }
+}