From 1d0e992e75422e175fdbe91b14e9bcfbae7fbc4b Mon Sep 17 00:00:00 2001
From: chuongmep <31106432+chuongmep@users.noreply.github.com>
Date: Wed, 29 Mar 2023 23:02:10 +0800
Subject: [PATCH] Add FindShortestRoute Travelling salesman problem
---
.idea/.idea.OpenMEP/.idea/.name | 1 +
OpenMEPSandbox/Algo/TravellingSaleman.cs | 109 ++++++
OpenMEPSandbox/Geometry/Point.cs | 23 ++
.../geometry/dyn/Point.FindShortestRoute.dyn | 324 ++++++++++++++++++
.../dyn/pic/Point.FindShortestRoute.gif | Bin 0 -> 229514 bytes
5 files changed, 457 insertions(+)
create mode 100644 .idea/.idea.OpenMEP/.idea/.name
create mode 100644 OpenMEPSandbox/Algo/TravellingSaleman.cs
create mode 100644 docs/OpenMEPPage/geometry/dyn/Point.FindShortestRoute.dyn
create mode 100644 docs/OpenMEPPage/geometry/dyn/pic/Point.FindShortestRoute.gif
diff --git a/.idea/.idea.OpenMEP/.idea/.name b/.idea/.idea.OpenMEP/.idea/.name
new file mode 100644
index 00000000..794249ec
--- /dev/null
+++ b/.idea/.idea.OpenMEP/.idea/.name
@@ -0,0 +1 @@
+OpenMEP
\ No newline at end of file
diff --git a/OpenMEPSandbox/Algo/TravellingSaleman.cs b/OpenMEPSandbox/Algo/TravellingSaleman.cs
new file mode 100644
index 00000000..9864cf26
--- /dev/null
+++ b/OpenMEPSandbox/Algo/TravellingSaleman.cs
@@ -0,0 +1,109 @@
+using Autodesk.DesignScript.Geometry;
+using Autodesk.DesignScript.Runtime;
+
+namespace OpenMEPSandbox.Algo;
+
+[IsVisibleInDynamoLibrary(false)]
+public static class TravellingSalesman
+{
+
+ ///
+ /// takes a list of 3D points as input and returns the shortest route that visits each point exactly once
+ ///
+ ///
+ ///
+ public static List FindShortestRoute(List points)
+ {
+ List shortestRoute = null;
+ double shortestDistance = double.MaxValue;
+
+ // Generate all possible permutations of the points
+ List> permutations = Permute(points);
+
+ // For each permutation, calculate the total distance and keep track of the shortest route
+ foreach (List route in permutations)
+ {
+ double totalDistance = CalculateTotalDistance(route);
+ if (totalDistance < shortestDistance)
+ {
+ shortestDistance = totalDistance;
+ shortestRoute = route;
+ }
+ }
+
+ return shortestRoute;
+ }
+
+ ///
+ /// takes a list of 3D points as input and returns a list of all possible permutations of the input list
+ ///
+ ///
+ ///
+ static List> Permute(List points)
+ {
+ List> result = new List>();
+ PermuteHelper(points, 0, result);
+ return result;
+ }
+
+ ///
+ /// takes three arguments: the input list of points, the current index to swap, and the list to store the permutations
+ ///
+ ///
+ ///
+ ///
+ static void PermuteHelper(List points, int index, List> result)
+ {
+ if (index >= points.Count)
+ {
+ result.Add(new List(points));
+ }
+ else
+ {
+ for (int i = index; i < points.Count; i++)
+ {
+ Swap(points, index, i);
+ PermuteHelper(points, index + 1, result);
+ Swap(points, index, i);
+ }
+ }
+ }
+
+ ///
+ /// takes a list of points and two indices and swaps the elements at those indices in the list.
+ ///
+ ///
+ ///
+ ///
+ static void Swap(List points, int i, int j)
+ {
+ (points[i], points[j]) = (points[j], points[i]);
+ }
+
+ static double CalculateTotalDistance(List route)
+ {
+ double totalDistance = 0;
+ for (int i = 0; i < route.Count - 1; i++)
+ {
+ totalDistance += CalculateDistance(route[i], route[i + 1]);
+ }
+
+ totalDistance += CalculateDistance(route[route.Count - 1], route[0]);
+ return totalDistance;
+ }
+
+ ///
+ /// calculates the distance between two points by using euclidean distance formula
+ ///
+ /// the first point
+ /// the second point
+ /// distance between two point
+ static double CalculateDistance(Autodesk.DesignScript.Geometry.Point point1,
+ Autodesk.DesignScript.Geometry.Point point2)
+ {
+ double dx = point2.X - point1.X;
+ double dy = point2.Y - point1.Y;
+ double dz = point2.Z - point1.Z;
+ return Math.Sqrt(dx * dx + dy * dy + dz * dz);
+ }
+}
\ No newline at end of file
diff --git a/OpenMEPSandbox/Geometry/Point.cs b/OpenMEPSandbox/Geometry/Point.cs
index f764323f..4f53bd2d 100644
--- a/OpenMEPSandbox/Geometry/Point.cs
+++ b/OpenMEPSandbox/Geometry/Point.cs
@@ -432,4 +432,27 @@ public static double CompareTo(Autodesk.DesignScript.Geometry.Point point1,
int compareTo = point1.ToGSharkType().CompareTo(point2.ToGSharkType());
return compareTo;
}
+
+ ///
+ /// takes a list of 3D points as input and returns the shortest route that visits each point exactly once'
+ /// https://en.wikipedia.org/wiki/Travelling_salesman_problem
+ ///
+ /// the list 3d points
+ /// shortest route
+ ///
+ /// 
+ ///
+ public static List FindShortestRoute(List points)
+ {
+ List shortestRoute = TravellingSalesman.FindShortestRoute(points);
+ // connect line
+ List lines = new List();
+ for (int i = 0; i < shortestRoute.Count - 1; i++)
+ {
+ Autodesk.DesignScript.Geometry.Line line =
+ Autodesk.DesignScript.Geometry.Line.ByStartPointEndPoint(shortestRoute[i], shortestRoute[i + 1]);
+ lines.Add(line);
+ }
+ return lines;
+ }
}
\ No newline at end of file
diff --git a/docs/OpenMEPPage/geometry/dyn/Point.FindShortestRoute.dyn b/docs/OpenMEPPage/geometry/dyn/Point.FindShortestRoute.dyn
new file mode 100644
index 00000000..15377059
--- /dev/null
+++ b/docs/OpenMEPPage/geometry/dyn/Point.FindShortestRoute.dyn
@@ -0,0 +1,324 @@
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+ "Value": "ProtoGeometry.dll"
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