From d6984a3270a7d80821b05f55ebcd72e5317165f9 Mon Sep 17 00:00:00 2001
From: Yi Zhang <zhangyiss@icloud.com>
Date: Thu, 16 Sep 2021 23:09:12 +0800
Subject: [PATCH] update src

---
 README.md     |       2 +-
 Untitled.nc   |     Bin 0 -> 8032436 bytes
 demo.cpp      |      12 +-
 tin.h         |     168 +-
 topo2.txt     | 1002001 ++++++++++++++++++++++++++++++++++++++++++++++
 topo2_TIN.log |    1596 +
 topo2_TIN.msh |    6312 +
 topo_TIN.log  |       8 +-
 topo_TIN.msh  |     664 +-
 9 files changed, 1010370 insertions(+), 393 deletions(-)
 create mode 100644 Untitled.nc
 create mode 100644 topo2.txt
 create mode 100644 topo2_TIN.log
 create mode 100644 topo2_TIN.msh

diff --git a/README.md b/README.md
index f369b18..5b46330 100644
--- a/README.md
+++ b/README.md
@@ -5,7 +5,7 @@
 #### Compile
 
 ```shell
-g++ demo.cpp
+g++ demo.cpp -O2
 ```
 
 #### Run demo
diff --git a/Untitled.nc b/Untitled.nc
new file mode 100644
index 0000000000000000000000000000000000000000..105c2ed2309cb3e25f72212d8433ecbcce59f2dd
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diff --git a/demo.cpp b/demo.cpp
index bb0ac24..872100a 100644
--- a/demo.cpp
+++ b/demo.cpp
@@ -6,10 +6,10 @@
 int main(int argc, char const *argv[])
 {
 	// read dem grid
-	std::vector<double> topo(10201);
+	std::vector<double> topo(1002001);
 
-	std::ifstream infile("topo.txt");
-	for (int i = 0; i < 10201; ++i)
+	std::ifstream infile("topo2.txt");
+	for (int i = 0; i < 1002001; ++i)
 	{
 		infile >> topo[i];
 	}
@@ -18,10 +18,10 @@ int main(int argc, char const *argv[])
 	std::vector<double> err_records;
 	std::vector<vertex2dc*> tin_vert;
 	std::vector<triangle*> tin_ele;
-	dem2tin(topo, 0, 1000, 0, 1000, 10, 10, tin_vert, tin_ele, 1.0, &err_records);
+	dem2tin(topo, 0, 1000, 0, 1000, 1, 1, tin_vert, tin_ele, 10.0, &err_records);
 
 	// Write a log file
-	std::ofstream logfile("topo_TIN.log");
+	std::ofstream logfile("topo2_TIN.log");
 	logfile << "# Insertion Maxi-Error\n";
 	for (int i = 0; i < err_records.size(); ++i)
 	{
@@ -30,7 +30,7 @@ int main(int argc, char const *argv[])
 	logfile.close();
 
 	// Write a Gmsh's .msh file
-	std::ofstream outfile("topo_TIN.msh");
+	std::ofstream outfile("topo2_TIN.msh");
 	outfile << "$MeshFormat" << std::endl << "2.2 0 8" << std::endl << "$EndMeshFormat "<<std::endl;
 	outfile << "$Nodes" << std::endl << tin_vert.size() << std::endl;
 	for (int i = 0; i < tin_vert.size(); i++)
diff --git a/tin.h b/tin.h
index 70a6e9b..1f3f69e 100644
--- a/tin.h
+++ b/tin.h
@@ -131,6 +131,7 @@ struct dem_point
 {
 	double x, y; // position of the DEM location
 	double elev; // elevation at the DEM location
+	double err;
 	triangle *host; // host triangle of the DEM location
 	std::vector<triangle*> circum_host; // triangles which circumcircles include the location
 
@@ -139,10 +140,60 @@ struct dem_point
 	void set(double inx, double iny, double inelev)
 	{
 		x = inx; y = iny; elev = inelev; host = nullptr;
-		circum_host.clear();
 		return;
 	}
 };
+
+/**
+ * @brief      Utility function of the heap_sort function.
+ *
+ * @param      a     Input vector
+ * @param[in]  i     vector's index i
+ * @param[in]  n     vector's index n
+ */
+void update_heap(std::vector<dem_point*> &a, int i, int n)
+{
+	int iMax = i, iLeft = 2 * i + 1, iRight = 2 * (i + 1);
+
+	if (iLeft < n && a[iMax]->err > a[iLeft]->err)
+	{
+		iMax = iLeft;
+	}
+
+	if (iRight < n && a[iMax]->err > a[iRight]->err)
+	{
+		iMax = iRight;
+	}
+
+	if (iMax != i)
+	{
+		dem_point *tmp = a[iMax]; a[iMax] = a[i]; a[i] = tmp;
+		update_heap(a, iMax, n);
+	}
+	return;
+}
+
+/**
+ * @brief      Heap sort of the dem_point vector in a descending order with respect to the error values
+ *
+ * @param      a     Input vector
+ */
+void heap_sort(std::vector<dem_point*> &a)
+{
+	int n = a.size();
+	for (int i = (n - 1) / 2; i >= 0; i--)
+	{
+		update_heap(a, i, n);
+	}
+
+	dem_point *tmp;
+	for (int i = n - 1; i > 0; --i)
+	{
+		tmp = a[i]; a[i] = a[0]; a[0] = tmp;
+		update_heap(a, 0, i);
+	}
+	return;
+}
 // End DEM definition
 
 /**
@@ -177,33 +228,46 @@ void dem2tin(const std::vector<double> &dem, double xmin, double xmax, double ym
 	if (dem.size() != xnum*ynum) return;
 
 	// Prepare the DEM points
-	std::vector<dem_point> dem_grid(xnum*ynum);
-	std::vector<dem_point>::iterator d_iter;
+	dem_point *tmp_dem;
+	std::vector<dem_point*> dem_grid(xnum*ynum);
+	std::vector<dem_point*>::iterator d_iter;
 	for (int i = 0; i < ynum; ++i)
 	{
 		for (int j = 0; j < xnum; ++j)
 		{
-			dem_grid[j + i*xnum].set(xmin + dx*j, ymin + dy*i, dem[j + i*xnum]);
+			dem_grid[j + i*xnum] = new dem_point(xmin + dx*j, ymin + dy*i, dem[j + i*xnum]);
 		}
 	}
 
 	vertex2dc *tmp_vert = nullptr;
 
-	tmp_vert = new vertex2dc(xmin, ymin, dem_grid[0].elev, out_verts.size()); // lower left corner
+	tmp_vert = new vertex2dc(xmin, ymin, dem_grid[0]->elev, out_verts.size()); // lower left corner
 	out_verts.push_back(tmp_vert);
-	d_iter = dem_grid.begin(); dem_grid.erase(d_iter);
 
-	tmp_vert = new vertex2dc(xmax, ymin, dem_grid[xnum-2].elev, out_verts.size()); // lower right corner. Note the first location is already erased
-	out_verts.push_back(tmp_vert);
-	d_iter = dem_grid.begin() + (xnum - 2); dem_grid.erase(d_iter);
+	d_iter = dem_grid.begin();
+	tmp_dem = *d_iter; delete tmp_dem;
+	dem_grid.erase(d_iter);
 
-	tmp_vert = new vertex2dc(xmax, ymax, dem_grid[xnum*ynum-3].elev, out_verts.size()); // upper right corner. Note the first two locations are already erased
+	tmp_vert = new vertex2dc(xmax, ymin, dem_grid[xnum-2]->elev, out_verts.size()); // lower right corner. Note the first location is already erased
 	out_verts.push_back(tmp_vert);
-	d_iter = dem_grid.begin() + (xnum*ynum - 3); dem_grid.erase(d_iter);
 
-	tmp_vert = new vertex2dc(xmin, ymax, dem_grid[xnum*(ynum-1) - 2].elev, out_verts.size()); // upper left corner. Note the first two locations are already erased
+	d_iter = dem_grid.begin() + (xnum - 2);
+	tmp_dem = *d_iter; delete tmp_dem;
+	dem_grid.erase(d_iter);
+
+	tmp_vert = new vertex2dc(xmax, ymax, dem_grid[xnum*ynum-3]->elev, out_verts.size()); // upper right corner. Note the first two locations are already erased
 	out_verts.push_back(tmp_vert);
-	d_iter = dem_grid.begin() + (xnum*(ynum-1) - 2); dem_grid.erase(d_iter);
+
+	d_iter = dem_grid.begin() + (xnum*ynum - 3);
+	tmp_dem = *d_iter; delete tmp_dem;
+	dem_grid.erase(d_iter);
+
+	tmp_vert = new vertex2dc(xmin, ymax, dem_grid[xnum*(ynum-1) - 2]->elev, out_verts.size()); // upper left corner. Note the first two locations are already erased
+	out_verts.push_back(tmp_vert);
+
+	d_iter = dem_grid.begin() + (xnum*(ynum-1) - 2);
+	tmp_dem = *d_iter; delete tmp_dem;
+	dem_grid.erase(d_iter);
 
 	triangle *tmp_tri = nullptr;
 	std::vector<triangle*> cnst_tri, new_tri;
@@ -226,9 +290,9 @@ void dem2tin(const std::vector<double> &dem, double xmin, double xmax, double ym
 	{
 		for (int t = 0; t < out_tris.size(); ++t)
 		{
-			if (out_tris[t]->bound_location(dem_grid[i].x, dem_grid[i].y))
+			if (out_tris[t]->bound_location(dem_grid[i]->x, dem_grid[i]->y))
 			{
-				dem_grid[i].host = out_tris[t];
+				dem_grid[i]->host = out_tris[t];
 				break; // already found, no need to search more
 			}
 		}
@@ -240,52 +304,45 @@ void dem2tin(const std::vector<double> &dem, double xmin, double xmax, double ym
 	{
 		for (int t = 0; t < out_tris.size(); ++t)
 		{
-			dist = (out_tris[t]->cx - dem_grid[i].x) * (out_tris[t]->cx - dem_grid[i].x) 
-				+ (out_tris[t]->cy - dem_grid[i].y) * (out_tris[t]->cy - dem_grid[i].y);
+			dist = (out_tris[t]->cx - dem_grid[i]->x) * (out_tris[t]->cx - dem_grid[i]->x) 
+				+ (out_tris[t]->cy - dem_grid[i]->y) * (out_tris[t]->cy - dem_grid[i]->y);
 			if ((dist - out_tris[t]->cr) <= ZERO) // Points on the circumcircle are also included
 			{
-				dem_grid[i].circum_host.push_back(out_tris[t]);
+				dem_grid[i]->circum_host.push_back(out_tris[t]);
 				// no beak here. There might be more than one triangle's circumcircle includes the DEM location
 			}
 		}
 	}
 
-	int now_maxi_id;
-	double now_err, now_maxi_err;
+	// loop all DEM data to find the location with maximal error
+	for (int i = 0; i < dem_grid.size(); ++i)
+	{
+		dem_grid[i]->err = fabs(dem_grid[i]->host->interpolate(dem_grid[i]->x, dem_grid[i]->y) - dem_grid[i]->elev);
+	}
+
+	heap_sort(dem_grid);
 
 	bool removed;
 	edge tmp_edge;
 	std::vector<edge> cnst_edge;
 	std::vector<edge>::iterator e_iter;
 
-	do // quit til the threshold is meet
+	while (dem_grid[0]->err >= maxi_err) // quit til the threshold is meet
 	{
-		// loop all DEM data to find the location with maximal error
-		now_maxi_err = -1.0;
-		for (int i = 0; i < dem_grid.size(); ++i)
-		{
-			now_err = fabs(dem_grid[i].host->interpolate(dem_grid[i].x, dem_grid[i].y) - dem_grid[i].elev);
-			if (now_err > now_maxi_err)
-			{
-				now_maxi_err = now_err;
-				now_maxi_id  = i;
-			}
-		}
-
 		if (err_records != nullptr)
 		{
-			err_records->push_back(now_maxi_err);
+			err_records->push_back(dem_grid[0]->err);
 		}
 
 		// create a new vertex
-		tmp_vert = new vertex2dc(dem_grid[now_maxi_id].x, dem_grid[now_maxi_id].y, dem_grid[now_maxi_id].elev, out_verts.size());
+		tmp_vert = new vertex2dc(dem_grid[0]->x, dem_grid[0]->y, dem_grid[0]->elev, out_verts.size());
 		out_verts.push_back(tmp_vert);
 
 		// Move triangles which circumcircles include the new vertex to the cnst_tri and remove it from out_tris
 		cnst_tri.clear();
-		for (int i = 0; i < dem_grid[now_maxi_id].circum_host.size(); ++i)
+		for (int i = 0; i < dem_grid[0]->circum_host.size(); ++i)
 		{
-			cnst_tri.push_back(dem_grid[now_maxi_id].circum_host[i]);
+			cnst_tri.push_back(dem_grid[0]->circum_host[i]);
 		}
 
 		for (int i = 0; i < cnst_tri.size(); ++i)
@@ -303,9 +360,10 @@ void dem2tin(const std::vector<double> &dem, double xmin, double xmax, double ym
 		}
 
 		// clear host and circumcircle triangles for the used DEM location
-		dem_grid[now_maxi_id].host = nullptr;
-		dem_grid[now_maxi_id].circum_host.clear();
-		d_iter = dem_grid.begin() + now_maxi_id; dem_grid.erase(d_iter);
+		dem_grid[0]->circum_host.clear();
+		d_iter = dem_grid.begin();
+		tmp_dem = *d_iter; delete tmp_dem;
+		dem_grid.erase(d_iter);
 
 		// loop to remove duplicate edges
 		cnst_edge.clear();
@@ -351,11 +409,11 @@ void dem2tin(const std::vector<double> &dem, double xmin, double xmax, double ym
 		{
 			for (int i = 0; i < dem_grid.size(); ++i)
 			{
-				for (t_iter = dem_grid[i].circum_host.begin(); t_iter != dem_grid[i].circum_host.end(); )
+				for (t_iter = dem_grid[i]->circum_host.begin(); t_iter != dem_grid[i]->circum_host.end(); )
 				{
 					if (cnst_tri[c] == *t_iter)
 					{
-						t_iter = dem_grid[i].circum_host.erase(t_iter);
+						t_iter = dem_grid[i]->circum_host.erase(t_iter);
 						break; // no need to search more
 					}
 					else t_iter++;
@@ -368,9 +426,10 @@ void dem2tin(const std::vector<double> &dem, double xmin, double xmax, double ym
 		{
 			for (int n = 0; n < new_tri.size(); ++n) // search in newly created triangles to find new host
 			{
-				if (new_tri[n]->bound_location(dem_grid[i].x, dem_grid[i].y))
+				if (new_tri[n]->bound_location(dem_grid[i]->x, dem_grid[i]->y))
 				{
-					dem_grid[i].host = new_tri[n];
+					dem_grid[i]->host = new_tri[n];
+					dem_grid[i]->err = fabs(new_tri[n]->interpolate(dem_grid[i]->x, dem_grid[i]->y) - dem_grid[i]->elev);
 					break; // already found, no need to search more
 				}
 			}
@@ -381,11 +440,11 @@ void dem2tin(const std::vector<double> &dem, double xmin, double xmax, double ym
 		{
 			for (int n = 0; n < new_tri.size(); ++n) // search in newly created triangles to find new circumcircle triangles
 			{
-				dist = (new_tri[n]->cx - dem_grid[i].x) * (new_tri[n]->cx - dem_grid[i].x) 
-					+ (new_tri[n]->cy - dem_grid[i].y) * (new_tri[n]->cy - dem_grid[i].y);
+				dist = (new_tri[n]->cx - dem_grid[i]->x) * (new_tri[n]->cx - dem_grid[i]->x) 
+					+ (new_tri[n]->cy - dem_grid[i]->y) * (new_tri[n]->cy - dem_grid[i]->y);
 				if ((dist - new_tri[n]->cr) <= ZERO) // Points on the circumcircle are also included
 				{
-					dem_grid[i].circum_host.push_back(new_tri[n]);
+					dem_grid[i]->circum_host.push_back(new_tri[n]);
 					// no beak here. There might be more than one triangle's circumcircle includes the DEM location
 				}
 			}
@@ -398,7 +457,20 @@ void dem2tin(const std::vector<double> &dem, double xmin, double xmax, double ym
 			delete tmp_tri; tmp_tri = nullptr;
 		}
 
-	} while (now_maxi_err >= maxi_err);
+		heap_sort(dem_grid);
+	}
+
+	if (err_records != nullptr)
+	{
+		err_records->push_back(dem_grid[0]->err);
+	}
+
+	// destroy remaining DEM data
+	for (int i = 0; i < dem_grid.size(); ++i)
+	{
+		tmp_dem = dem_grid[i];
+		delete tmp_dem; tmp_dem = nullptr;
+	}
 
 	return;
 }
diff --git a/topo2.txt b/topo2.txt
new file mode 100644
index 0000000..2d544b9
--- /dev/null
+++ b/topo2.txt
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