add legalization & terminal assignment

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+ C:/PROGRA~1/MINGW-~1/X86_64~1.0-P/mingw64/lib/gcc/x86_64-w64-mingw32/8.1.0/include/c++/bits/stl_list.h \
+ C:/PROGRA~1/MINGW-~1/X86_64~1.0-P/mingw64/lib/gcc/x86_64-w64-mingw32/8.1.0/include/c++/bits/allocated_ptr.h \
+ C:/PROGRA~1/MINGW-~1/X86_64~1.0-P/mingw64/lib/gcc/x86_64-w64-mingw32/8.1.0/include/c++/bits/list.tcc \
+ E:/iccad2023/ppp/include/Terminal.h

build/CMakeFiles/progress.marks

-6
+7

build/Makefile

@@ -248,6 +248,30 @@ src/FFT_calculator.cpp.s:
 	$(MAKE) $(MAKESILENT) -f CMakeFiles\ppPlace.dir\build.make CMakeFiles/ppPlace.dir/src/FFT_calculator.cpp.s
 .PHONY : src/FFT_calculator.cpp.s
 
+src/Legalizer.obj: src/Legalizer.cpp.obj
+.PHONY : src/Legalizer.obj
+
+# target to build an object file
+src/Legalizer.cpp.obj:
+	$(MAKE) $(MAKESILENT) -f CMakeFiles\ppPlace.dir\build.make CMakeFiles/ppPlace.dir/src/Legalizer.cpp.obj
+.PHONY : src/Legalizer.cpp.obj
+
+src/Legalizer.i: src/Legalizer.cpp.i
+.PHONY : src/Legalizer.i
+
+# target to preprocess a source file
+src/Legalizer.cpp.i:
+	$(MAKE) $(MAKESILENT) -f CMakeFiles\ppPlace.dir\build.make CMakeFiles/ppPlace.dir/src/Legalizer.cpp.i
+.PHONY : src/Legalizer.cpp.i
+
+src/Legalizer.s: src/Legalizer.cpp.s
+.PHONY : src/Legalizer.s
+
+# target to generate assembly for a file
+src/Legalizer.cpp.s:
+	$(MAKE) $(MAKESILENT) -f CMakeFiles\ppPlace.dir\build.make CMakeFiles/ppPlace.dir/src/Legalizer.cpp.s
+.PHONY : src/Legalizer.cpp.s
+
 # Help Target
 help:
 	@echo The following are some of the valid targets for this Makefile:
@@ -272,6 +296,9 @@ help:
 	@echo ... src/FFT_calculator.obj
 	@echo ... src/FFT_calculator.i
 	@echo ... src/FFT_calculator.s
+	@echo ... src/Legalizer.obj
+	@echo ... src/Legalizer.i
+	@echo ... src/Legalizer.s
 .PHONY : help
 
 

data/ProblemB_case2.txt

@@ -1274,7 +1274,7 @@ Pin P60 4298 0
 LibCell N MC221 50 33 1 
 Pin P1 25 16 
 
-DieSize 0 0 23000 38000 
+DieSize 0 0 23000 19000 
 
 TopDieMaxUtil 80 
 BottomDieMaxUtil 80 
@@ -79207,4 +79207,4 @@ Pin C13845/P3
 Pin C13846/P1 
 Net N19547 2 
 Pin C13846/P3 
-Pin C13847/P1 
+Pin C13847/P1 
\ No newline at end of file

data/toy.txt

 NumTechnologies 2
 Tech TA 3
-LibCell N MC1 400 300 1
+LibCell N MC1 7 10 1
 Pin P1 2 7
 LibCell N MC2 14 10 2
 Pin P1 10 4
@@ -20,7 +20,7 @@ Pin P1 2 12
 Pin P2 3 3
 Pin P3 15 7
 
-DieSize 0 0 800 600
+DieSize 0 0 40 30
 
 TopDieMaxUtil 80
 BottomDieMaxUtil 90
@@ -35,7 +35,36 @@ TerminalSize 6 6
 TerminalSpacing 5
 TerminalCost 10
 
-NumInstances 1
+NumInstances 8
 Inst C1 MC1
+Inst C2 MC3
+Inst C3 MC3
+Inst C4 MC2
+Inst C5 MC2
+Inst C6 MC3
+Inst C7 MC2
+Inst C8 MC1
 
-NumNets 0
+
\ No newline at end of file
+NumNets 6
+Net N1 2
+Pin C1/P1
+Pin C2/P2
+Net N2 3
+Pin C2/P1
+Pin C3/P1
+Pin C7/P2
+Net N3 2
+Pin C2/P3
+Pin C8/P1
+Net N4 3
+Pin C3/P3
+Pin C6/P2
+Pin C7/P1
+Net N5 3
+Pin C4/P2
+Pin C6/P1
+Pin C5/P1
+Net N6 2
+Pin C4/P1
+Pin C5/P2

diff.txt

+todo:
+
 filler cell NumInstances
 local smoothing
 cur a pre a coeff
-cellcenter
+cellcenter
\ No newline at end of file
+
+multithread
+replace diff
+macro
+
+iccad2022
+东南大学
+1.partition
+dual-objective partition model
+2.global placement
+eplace
+3.legalization
+overlap of cells +overlap of terminals
+4.detailed placement
+
+linyibo
+
+鹏程实验室
+1.wirelength & area-aware initial assignment
+2. iterative improvement
+die placement
+terminal legalization
+local search re-assignment
+3.3d ligalization & detailed placement
+
+

include/Circuit.h

+#ifndef PPP_CIRCUIT_H
+#define PPP_CIRCUIT_H
+
+
+
 #include "Database.h"
 #include "FFTBin.h"
+#include "Legalizer.h"
+#include "Terminal.h"
 #include "Param.h"
 
+
 class Circuit : public Database{
 public:
-    int filler_num, allcell_num;
+    long long movecell_num[2];
+    long long stdcell_num[2];
+    long long filler_num[2];
+    long long allcell_num[2];
+    long long all;
     //std::vector<std::vector<Bin>> bins;
 
     fftBin* fftbin;
+    Terminal* term;
 
     
     int binsize_x;
@@ -17,6 +30,8 @@ public:
 
 public:
     void init(int);
+    void finish();
+
     void makeCellList();
     void setCellTechs();
     void makeInstList();
@@ -33,6 +48,10 @@ public:
     void doFFT();
     void updateDensity();
 
+    void legalize();
+
+    void terminalAssignment();
+
 
 
     float calHPWL();
@@ -44,8 +63,8 @@ public:
     //cimg
 #if VISUAL
     void draw(std::string, int Scale=1);
-    void plotDensity(cimg_library::CImg<unsigned char>&);
-    void plotCells(cimg_library::CImg<unsigned char>&);
+    void plotDensity(cimg_library::CImg<unsigned char>&, int);
+    void plotCells(cimg_library::CImg<unsigned char>&, int);
     void plotNets(cimg_library::CImg<unsigned char>&);
     void drawLine(cimg_library::CImg<unsigned char>&, const int, const int, const int, const int, const unsigned int, const unsigned char[]);
     //void drawBinDensity(cimg_library::CImg<unsigned char>& image, float opacity);
@@ -55,4 +74,6 @@ public:
 
     ~Circuit() {delete fftbin;};
 
-};
+};
\ No newline at end of file
+
+#endif //PPP_CIRCUIT_H
\ No newline at end of file

include/Database.h

@@ -12,17 +12,6 @@ class Net
 };
 */
 
-class Inst
-{
-public:
-    int w, h;
-    long area;
-
-public:
-    Inst() = default;
-    Inst(int W, int H): w(W), h(H), area(W*H) {}
-};
-
 
 class Cell
 {
@@ -41,6 +30,21 @@ public:
     Cell(int W, int H, bool IM): w(W), h(H), is_macro(IM), is_filler(false), area(W*H) {}
 };
 
+/*
+class Inst
+{
+public:
+    int w, h;
+    long area;
+    int layer;    
+    std::vector<std::pair<int, int>> pins;
+
+public:
+    Inst() = default;
+    Inst(int W, int H): w(W), h(H), area(W*H), layer(0) {}
+    Inst(int W, int H, std::pair<int, int>* b, std::pair<int, int>* e): w(W), h(H), area(W*H), layer(0), pins(b, e) {}
+};
+*/
 
 
 
@@ -58,17 +62,17 @@ public:
 class Database
 {
 public:
-    std::vector<std::vector<Cell>> techs;
+    std::vector<std::vector<Cell*>> techs;
     int h, w;
     Die_infro die_infro[2];
     int th, tw, tspaceing, tcost; //terminal information
     int tech_num, cell_num, net_num;
     std::vector<int> cells;
     std::vector<int> layer;
-    std::vector<int> cell_die;
+    //std::vector<int> cell_die;
     std::vector<int> mass;
 
-    std::vector<Inst> insts;
+    std::vector<Cell*> insts;
 
     std::vector<std::vector<std::pair<int, int>>> nets;
     std::vector<std::vector<std::pair<int, int>>> node_net;
@@ -80,6 +84,8 @@ public:
     
     std::vector<std::pair<float, float>> net_center;
 
+    std::vector<std::pair<int, int>> term_pos;
+
 
 public:
     void readcase(std::string);

include/FFTBin.h

@@ -14,19 +14,32 @@ public:
     //std::vector<std::vector<float>> llx, lly, urx, ury;
     std::vector<float> coordx, coordy;
 
-    std::vector<float*> electricDensity;
-    std::vector<float*> electricPotential;
-    std::vector<float*> electricField_x;
-    std::vector<float*> electricField_y;
+    std::vector<float*> electricDensity_top;
+    std::vector<float*> electricPotential_top;
+    std::vector<float*> electricField_x_top;
+    std::vector<float*> electricField_y_top;
 
-    std::vector<std::vector<float>> stdArea, fillerArea;
-    std::vector<std::vector<std::vector<int>>> correspondCells;
+    std::vector<float*> electricDensity_bottom;
+    std::vector<float*> electricPotential_bottom;
+    std::vector<float*> electricField_x_bottom;
+    std::vector<float*> electricField_y_bottom;
+
+    std::vector<std::vector<float>> stdArea_top, fillerArea_top;
+    std::vector<std::vector<std::vector<int>>> correspondCells_top;
+
+    
+    std::vector<std::vector<float>> stdArea_bottom, fillerArea_bottom;
+    std::vector<std::vector<std::vector<int>>> correspondCells_bottom;
 
 
 
     //fft parts
-    std::vector<float> wx, wy;
-    std::vector<float> wx_sq, wy_sq;
+    std::vector<float> wx_top, wy_top;
+    std::vector<float> wx_sq_top, wy_sq_top;
+
+    std::vector<float> wx_bottom, wy_bottom;
+    std::vector<float> wx_sq_bottom, wy_sq_bottom;
+
 
     std::vector<float> cosTable;
 

include/Legalizer.h

+#ifndef ABACUS_HPP
+#define ABACUS_HPP
+
+#include <iostream>
+#include <vector>
+#include <list>
+#include <algorithm>
+#include <utility>
+#include <climits>
+
+struct node{
+	node(int x,int y,int w = -1,int h = -1 )
+		:origin_y{y},origin_x{x},width{w},height{h}{}
+	node(std::string n,int x,int y,int w  ,int h   )
+		:name{n},origin_y{y},origin_x{x},width{w},height{h}{}
+	void setShape(int w,int h){
+		width = w;
+		height = h;
+	}
+	int origin_x,origin_y;//global placement result
+	int width;
+	int height;
+	int weight = 1;
+	int x,y;
+	std::string name;
+};
+// abacus datastructure.
+struct cluster{
+    int xc; // start x-position 
+    // abacus dp
+    int ec; // ec <- ec + e(i)
+    int qc; // qc <- qc +e(i)[x'(i) -wc ]
+    int wc; // wc <- wc + w(i)
+    cluster(int x)
+        :xc{x},ec{0},qc{0},wc{0}{}
+    // if overlap with predecessor cluster, then do cluster.
+    // nodes for caculate each position x
+    std::list<node*>nodes;
+    void AddCell(node*n){
+        nodes.push_back(n);
+        ec += n->weight;
+        qc += n->weight * (n->origin_x - wc);
+        wc += n->width;
+    }
+    void AddCluster(cluster*other)
+    {
+        for(auto n:other->nodes)nodes.push_back(n);
+        ec += other->ec;
+        qc += (other->qc - other->ec * wc);
+        wc += other->wc;
+    }
+};
+
+struct subrow{
+	subrow(int startx,int width,int coordinate)
+		: x1{startx},x2{startx + width},y{coordinate}
+	{
+		remainSpace = x2-x1;
+		cost = 0;
+		clusterNum = BackupNum=0;
+	}
+	cluster& last(){
+		if(empty()){
+			std::cerr<<"error in cluster&last(),Clusters is empty\n";
+			exit(1);
+		}
+		return Clusters.at(clusterNum-1);
+	}
+	bool empty(){return clusterNum==0;}
+	void AppendCluster(int);
+	void Collapse();//Collapse start from last Cluster in Clusters, and update ClusterIdx.
+	void place(node*);//Place node to last Cluster in Clusters .
+	int  getPos();//return the total Cost in Clusters.
+
+	std::vector<cluster>Clusters;
+	int x1,x2;
+	int remainSpace;
+	int y;
+	int cost;
+	int clusterNum;// point to last Cluster in Clusters.
+
+	void Backup()
+	{
+		if(clusterNum > ClustersBackup.size())//need allocate 
+			ClustersBackup.push_back(Clusters.back());
+		
+		if(clusterNum > ClustersBackup.size()){
+			std::cerr<<"Back up error,clusterNum > clusterBack.size()\n";
+			exit(1);
+		}
+		BackupNum = clusterNum;
+		ClustersBackup.at(BackupNum-1) = Clusters.at(clusterNum-1);
+	}
+
+	//each time after calling subrow::place(node*) , need recover .
+	void RecvoerClusters(){
+		if(clusterNum==BackupNum)//only need recover last cluster.
+			Clusters.at(clusterNum-1) = ClustersBackup.at(clusterNum-1);
+		else if(clusterNum < BackupNum) // clusters call collapse during place(node*)
+		{
+			if(Clusters.size() < BackupNum)
+			{
+				std::cerr<<"Clusters.size() not enough!\n";
+				exit(1);
+			}
+			for(int idx = clusterNum-1;idx < BackupNum;idx++)
+				Clusters.at(idx) = ClustersBackup.at(idx);
+		}
+		clusterNum = BackupNum;
+	}
+private:
+	int BackupNum;// point to last Cluster in Backup
+	std::vector<cluster>ClustersBackup;
+};
+
+using fixed_node = node;
+struct row{
+	row(int x,int coordinate,int w,int h)
+		:y{coordinate},height{h}{
+		subrows.push_back({x,w,coordinate});
+	}
+	int y;
+	int height;
+	std::vector<subrow> subrows;
+	//need sorted by x.
+	void block(fixed_node&terminal);
+	std::pair<subrow*,int> placeRow(node* n);
+	int getCost();
+	int getRemain();
+	std::vector<node*> RipUp(int threshold);//RipUp  the width <= threshold
+};
+
+void placeTerminal(std::vector<fixed_node>&terminals,std::vector<row>&rows);
+int abacus(std::vector<node*>nodes,std::vector<row>&rows);
+
+#endif

include/Param.h

@@ -39,6 +39,11 @@ namespace Color {
 
 }
 
+
+const static int inf=0x7fffffff;
+
+const static int mid_width = 10;
+
 const static float densityScale = 1e-1; //1e-4;  // variable for preventing the overflow of binDensity
 const static float time_step = 0.02;
 const static float wireLengthCoefficient = 10; //1e-1;

include/Terminal.h

+#ifndef PPP_TERMINAL_H
+#define PPP_TERMINAL_H
+
+#include "Param.h"
+
+class Terminal{
+public:
+
+    //const int maxn=10005;
+    const int inf=0x7fffffff;
+
+    int n, m;   
+    std::vector<int> wx, wy, cx, cy, slack;
+    std::vector<bool> visx, visy; 
+    //int Map[maxn][maxn];
+    //int minz;
+
+
+    std::vector<std::vector<int>> index;
+    std::vector<std::vector<int>> value;
+
+    Terminal(int x, int y): n(x), m(y) {
+        
+        index.resize(n);
+        value.resize(m);
+
+    }
+
+    void add(int i, int x, int y) {
+        index[i].push_back(x);
+        value[i].push_back(y);
+    }
+
+    int BinarySearch(std::vector<int> array, int key)  
+    {  
+        int aSize = array.size();
+        if ( array.empty() || aSize == 0 )  
+            return -1;  
+        int low = 0;  
+        int high = aSize - 1;  
+        int mid = 0;  
+    
+        while ( low <= high )  
+        {  
+            mid = (low + high )/2;  
+            
+            if ( array[mid] < key)  
+                low = mid + 1;  
+            else if ( array[mid] > key )     
+                high = mid - 1;  
+            else  
+                return mid;  
+        }  
+        return -1;  
+    } 
+
+    bool find(int u)
+    {
+        visx[u]=1;
+        int l = index[u].size();
+        for(int j = 0; j < l; ++j)
+        {
+            int v = index[u][j];
+            if(visy[v]) continue;
+
+            int t = wx[u] + wy[v] - value[u][j];
+            if(t == 0)
+            {
+                visy[v]=1;
+                if(cy[v]==-1||find(cy[v]))
+                {
+                    cx[u]=v;
+                    cy[v]=u;
+                    return 1;
+                }
+            }
+            else if(t<0)
+            {
+                slack[v]=std::max(slack[v],t);
+            }
+        }
+        return false;
+    }
+
+
+    int run()
+    {
+        slack.resize(m, 0);
+        cx.resize(n, -1);
+        cy.resize(m, -1);
+        wx.resize(n, 0);
+        wy.resize(m, 0);
+        visx.resize(n);
+        visy.resize(m);
+        for(int i = 0; i < n; ++i)
+        {
+            int l = index[i].size();
+            for(int j = 0; j < l; ++j)
+            {
+                wx[i]=std::min(wx[i],value[i][j]);
+            }
+            std::cout << wx[i] << std::endl;
+        }
+        for(int i = 0; i < n; ++i)
+        {
+            for(;;)
+            {
+                //minz=-inf;
+                std::fill(slack.begin(), slack.end(), -inf);
+
+                std::fill(visx.begin(), visx.end(), 0);
+                std::fill(visy.begin(), visy.end(), 0);
+                if(find(i)) break;
+
+                int d = -inf;
+                for (int j = 0; j < m; ++j)
+                    if (!visy[j]) d = std::max(d, slack[j]);
+
+                for(int j = 0; j < m; ++j)
+                {
+                    if(visx[j]) wx[j]-=d;
+                    if(visy[j]) wy[j]+=d;
+                    else slack[j] -= d;
+                }
+
+            }
+
+            //for (int j = 0; j < cntx; ++j)
+            //    std::cout << cx[j] << " " << cy[j] << " " << wx[j] << " " << wy[j] << " " << slack[j] << std::endl;
+            //return 1;
+        }
+        
+        int ans=0;
+        for(int i = 0; i < n; ++i)
+        {
+            if(cx[i]!=-1)
+            {
+                int ind = BinarySearch(index[i], cx[i]);
+                ans+=value[i][ind];
+            }
+        }
+        return ans;
+    }
+};
+
+#endif //PPP_TERMINAL_H
\ No newline at end of file

main.cpp

@@ -9,11 +9,15 @@ int main() {
 
     Circuit* circuit = new Circuit();
 
-    circuit->readcase("../data/toy.txt");
+    circuit->readcase("../data/ProblemB_case2.txt");
+
+    std::cout << "Reading case..." << std::endl;
 
     std::string picname;
 
-    circuit->init(0);
+    std::cout << "Initializing process..." << std::endl;
+    circuit->init(10);
+    std::cout << "Initialplacement done" << std::endl;
 
     picname = "initial.bmp";
     circuit->draw(picname);
@@ -24,17 +28,19 @@ int main() {
 
 
     std::cout << "Electric potential apply." << std::endl;
-    for (int i = 0; i < 1; ++i) {
+    for (int i = 0; i < 10; ++i) {
         circuit->Iteration(i);
         std::cout << "HPWL:" << circuit->calHPWL() << std::endl;
 
-        if ((i+1) % 1 == 0) {
+        if ((i+1) % 10 == 0) {
             picname = "iter" + std::to_string(i) + ".bmp";
             circuit->draw(picname);
 
         }
     }
 
+    circuit->finish();
+
     
     picname = "after.bmp";
     circuit->draw(picname);

src/Circuit.cpp

 #include "Circuit.h"
 
 void Circuit::init(int init_iter) {
+    std::cout << "seting layers..." << std::endl;
+    setCellTechs();
+
+    std::cout << "making cell list..." << std::endl;
+
     makeCellList();
+    std::cout << "making instances..." << std::endl;
     //makePinList();
     //makeNetList();
-    setCellTechs();
     makeInstList();
+    std::cout << "finish instances generation" << std::endl;
 
 
     std::cout << "HPWL: " << calHPWL() << std::endl;
@@ -31,50 +37,194 @@ void Circuit::init(int init_iter) {
     
 }
 
+
+void Circuit::setCellTechs() {
+    layer.resize(cell_num, 0);
+    //if (die_infro[0].tech == die_infro[1].tech) {
+    //    return;
+    //}
+
+    
+    std::vector<std::pair<int, float>> s;
+    std::vector<std::pair<float, float>> area_compa;
+    s.resize(cell_num);
+    area_compa.resize(cell_num);
+
+    int tch0 = die_infro[0].tech;
+    int tch1 = die_infro[1].tech;
+    for (int i = 0; i < cell_num; ++i) {
+        int cell_id = cells[i];
+        area_compa[i] = std::make_pair(techs[tch0][cell_id]->area, techs[tch1][cell_id]->area);
+        s[i] = std::make_pair(i, techs[tch0][cell_id]->area - techs[tch1][cell_id]->area);
+    }
+    std::sort(s.begin(), s.end(), [](std::pair<int, float> a, std::pair<int, float> b){return a.second < b.second;});
+    
+    std::cout << "sorting layer difference: " << std::endl;
+    //for (int i = 0; i < cell_num; ++i){
+    //    std::cout << s[i].first << "  " << s[i].second << std::endl;
+    //}
+
+    float util_top, util_bottom;
+    std::cout << h << w << die_infro[0].MaxUtil << std::endl;
+    util_top = static_cast<float>(h) * w * die_infro[0].MaxUtil / 100;
+    util_bottom = static_cast<float>(h) * w * die_infro[1].MaxUtil / 100;
+    std::cout << util_top << std::endl;
+
+
+    int nl = nets.size();
+    std::vector<int> nets_use;
+    std::vector<int> nets_state; //0: all in layer 1, 1: has one terminal, 2: all in layer 0
+    std::vector<int> nets_maxusage;
+    nets_use.resize(nl, 0);
+    nets_state.resize(nl, 0);
+    nets_maxusage.resize(nl);
+    for (int i = 0; i < nl; ++i) {
+        nets_maxusage[i] = nets[i].size();
+    }
+
+    int state = 0;
+    int terminal_count = 0;
+    long long terminal_min = 1e30;
+    int best_division = 0;
+    long long  areasum_top = 0, areasum_bottom = 0;
+    for (int j = 0; j < cell_num; ++j) {
+        Cell* c = techs[tch1][cells[j]];
+        areasum_bottom += c->area;
+        //std::cout << "averageArea:  " << averageArea << std::endl;
+    }
+    std::cout << areasum_top << "  " << areasum_bottom << "  " << util_top << "  " << util_bottom << std::endl;
+    for (int i = 0; i < cell_num; ++i) {
+        int inst_id = s[i].first;
+        areasum_top += area_compa[inst_id].first;
+        areasum_bottom -= area_compa[inst_id].second;
+        if (state == 0) {
+            if (areasum_bottom <= util_bottom) {
+                std::cout << cell_num << "  " << i << std::endl;
+                state = 1;
+            }
+        }
+        if (state == 1) {
+            if (areasum_top >= util_top) {
+                std::cout << cell_num << "  " << i << std::endl;
+                state = 2;
+                break;
+            }
+                   
+        }
+        for (int j = 0; j < node_net[inst_id].size(); ++j) {
+            int net_id = node_net[inst_id][j].first;
+            if (nets_use[j] == 0) {
+                terminal_count ++;
+                nets_use[j]++;
+            }
+            else if (nets_use[j] == nets_maxusage[j] - 1) {
+                nets_use[j]++;
+                terminal_count--;
+            }
+            else {
+                nets_use[j]++;
+            }
+
+        }
+        if (state == 1 && terminal_count <= terminal_min) {
+            terminal_min = terminal_count;
+            best_division = i;
+        }
+
+        //best_division -= 1;
+
+        movecell_num[0] = best_division + 1;
+        movecell_num[1] = cell_num - movecell_num[0];
+
+        //std::cout << "setting layer: " << i << "  " << areasum_top << ":" << util_top << "  " << areasum_bottom << ":" << util_bottom << "  " << state << "  " << terminal_count << "  " << std::endl;
+        
+    }
+    std::cout << "segmenting: " << best_division << "  " << terminal_min << " " << areasum_top << "  " << areasum_bottom << std::endl;
+
+    for (int i = best_division + 1; i < cell_num; ++i) {
+        layer[s[i].first] = 1;
+    }
+    //for (int i = 0; i < cell_num; ++i) {
+    //    std::cout << layer[i] << " ";
+    //}
+    //std::cout << std::endl;
+}
+
+
 void Circuit::makeCellList() {
 
     //issue 0 two die average area
     //compute filler cell size
     float totalArea[2] = {0, 0};
-    int filler_num[2] = {0, 0};
-    int stdcell_num = 0;
-    for (int i = 0; i < tech_num; ++i) {
-        float averageArea = 0;
-        for (int j = 0; j < cell_num; ++j) {
-            Cell c = techs[i][cells[j]];
-            if (!c.is_macro) {
-                ++stdcell_num;
-                averageArea += c.area;
+    float averageArea[2] = {0, 0};
+    //int filler_num[2] = {0, 0};
+    //int stdcell_num[2] = {0, 0};
+    float fillerArea[2] = {0, 0};
 
-            }
-            totalArea[i] += c.area;
-            //std::cout << "averageArea:  " << averageArea << std::endl;
+    for (int i = 0; i < cell_num; ++i) {
+        int lay = layer[i];
+        int tch = die_infro[layer[i]].tech;
+        Cell* c = techs[tch][cells[i]];
+        totalArea[lay] += c->area;
+        if (!c->is_macro) {
+            ++stdcell_num[lay];
+            averageArea[lay] += c->area;
         }
-        averageArea /= static_cast<float>(stdcell_num);
-        std::cout << "averageArea:  " << averageArea << std::endl;
-        float averageWidth = sqrt(averageArea);
+    }
+    
+    //std::cout << "here cell 0" << stdcell_num[0] << "  " << stdcell_num[1] <<  "  " << totalArea[0] <<  "  " << totalArea[1] << std::endl;
+    //std::cout << "here cell 1" << averageArea[1] << std::endl;
+    //std::cout << "here cell 1" <<  "  " << averageArea[0] <<  "  " << averageArea[1] << std::endl;
 
-        techs[i][0] = Cell(averageWidth, averageWidth);
-        techs[i][0].is_filler = true;
+    float averageWidth[2] = {0, 0};
 
-        for (int j = 0; j < techs[i].size(); ++j) {
-            //std::cout << techs[i][j].h << "  " << techs[i][j].w << std::endl;
-        }
+    if (stdcell_num[0] > 0) {
+        averageArea[0] /= static_cast<float>(stdcell_num[0] + 1);
+        averageWidth[0] = sqrt(averageArea[0]);
+        
+        techs[0][0] = new Cell(averageWidth[0], averageWidth[0]);
+        techs[0][0]->is_filler = true;
+        fillerArea[0] = static_cast<float>(h)*w * die_infro[0].MaxUtil / 100 - totalArea[0];
 
-        //std::cout << h << "  " << w << " " << die_infro[0].MaxUtil << " " << h * w << std::endl;
-        float moveableArea = static_cast<float>(h)*w*die_infro[0].MaxUtil/100;
-        float fillerArea = moveableArea - totalArea[i];
-        filler_num[i] = std::floor(fillerArea / averageArea);
-        //std::cout << " moveable area: "<< moveableArea << " total area: " << totalArea[i] << std::endl;
+        filler_num[0] = std::floor(fillerArea[0] / averageArea[0]);
+    }
+    if (stdcell_num[1] > 0) {
+        averageArea[1] /= static_cast<float>(stdcell_num[1] + 1);
+        averageWidth[1] = sqrt(averageArea[1]);
+        techs[1][0] = new Cell(averageWidth[1], averageWidth[1]);
+        techs[1][0]->is_filler = true;
+        fillerArea[1] = static_cast<float>(h)*w * die_infro[1].MaxUtil / 100 - totalArea[1];
+        filler_num[1] = std::floor(fillerArea[1] / averageArea[1]);
+    }
 
+    //std::cout << "here cell 4" << std::endl;
+    
+    all = cell_num + filler_num[0] + filler_num[1];
+    std::cout << "filler num 0: " << filler_num[0] << std::endl;
+    std::cout << "filler num 1: " << filler_num[1] << std::endl;
+    std::cout << all << " cells in total!" << std::endl;
+
+    cells.resize(all);
+    layer.resize(all);
+    for (int i = cell_num; i < cell_num + filler_num[0]; ++i) {
+        cells[i] = 0;
+        layer[i] = 0;
     }
+    for (int i = cell_num + filler_num[0]; i < all; ++i) {
+        cells[i] = 0;
+        layer[i] = 1;
+    }
+    
+    
+    
+    std::cout << "total area: " << totalArea[0] << "  " << totalArea[1] << std::endl;
 
 
     //float moveable_space = die_infro
 
-    filler_num[0] = 0;//cell_num / 2;
-    std::cout << "filler num: " << filler_num[0] <<std::endl;
-    allcell_num = cell_num + filler_num[0];
+    //filler_num[0] = 0;//cell_num / 2;
+    allcell_num[0] = movecell_num[0] + filler_num[0];
+    allcell_num[1] = movecell_num[1] + filler_num[1];
 
     //addstdcell
     std::mt19937 genX(10);
@@ -82,11 +232,11 @@ void Circuit::makeCellList() {
     std::uniform_real_distribution<float> disX(0, h);
     std::uniform_real_distribution<float> disY(0, w);
 
-    cells.resize(allcell_num);
-    cell_pos.resize(allcell_num);
-    cell_die.resize(allcell_num);
-    force.resize(allcell_num);
-    velocity.resize(allcell_num);
+
+    cell_pos.resize(all);
+    //cell_die.resize(all);
+    force.resize(all);
+    velocity.resize(all);
     for (int i = 0; i < cell_num; ++i) {
         //cell_pos[i] = std::make_pair(floor(disX(genX)), floor(disY(genY)));
 
@@ -95,8 +245,8 @@ void Circuit::makeCellList() {
 
     
     //add filler cell
-    std::cout << "filler cell: " << std::endl;
-    for (int i = cell_num; i < allcell_num; ++i) {
+    //std::cout << "filler cell: " << std::endl;
+    for (int i = cell_num; i < all; ++i) {
         cell_pos[i] = std::make_pair(floor(disX(genX)), floor(disY(genX)));
         //std::cout << cell_pos[i].first << "  " << cell_pos[i].second << std::endl;
     }
@@ -110,17 +260,31 @@ void Circuit::makeCellList() {
 
 }
 
-void Circuit::setCellTechs() {
-    layer.resize(allcell_num, 0);
-    
-}
-
 void Circuit::makeInstList() {
-    insts.reserve(allcell_num);
-    for (int i = 0; i < allcell_num; ++i) {
+    insts.reserve(all);
+    //std cell
+    std::cout << "making std cell instances." << std::endl;
+    for (int i = 0; i < cell_num; ++i) {
         int cell_id = cells[i];
-        Cell c = techs[layer[i]][cell_id];
-        insts.push_back(Inst(c.h, c.w));
+        //std::cout << cell_id << std::endl;
+        //if (i > 10) break;
+        int tch = die_infro[layer[i]].tech;
+        //Cell c = techs[tch][cell_id];
+        insts.push_back(techs[tch][cell_id]);
+        //insts.push_back(Inst(c.h, c.w, c.pins.begin(), c.pins.end()));
+        //insts[i].layer = layer[i];
+    }
+    //std::cout << insts[0]->area << std::endl;
+    //std::cout << insts[0]->pins[0].first << std::endl;
+
+    //filler cell
+    std::cout << "making filler cell instances." << std::endl;
+    for (int i = cell_num; i < all; ++i) {
+        int cell_id = cells[i];
+        //std::cout << cell_id << techs[1][0].area << std::endl;
+        //Cell c = techs[layer[i]][cell_id];
+        insts.push_back(techs[layer[i]][cell_id]);
+        //insts[i].layer = layer[i];
     }
 }
 
@@ -146,9 +310,10 @@ void Circuit::preCalWL() {
             //if (i > 18600)
             //    std::cout << "pre caling: " << inst_id << "  " << pin_id << std::endl;
 
-            int cell_id = cells[inst_id];
+            std::pair<int, int> pin_pos = insts[inst_id]->pins[pin_id];
+            //int cell_id = cells[inst_id];
+            //std::pair<float, float> pin_pos = techs[layer[inst_id]][cell_id].pins[pin_id];
 
-            std::pair<float, float> pin_pos = techs[layer[inst_id]][cell_id].pins[pin_id];
             //if (i > 18600)
             //    std::cout << "cell_pos: " << cell_pos[inst_id].first << "  " << cell_pos[inst_id].second << std::endl;
             
@@ -169,8 +334,10 @@ std::pair<float, float> Circuit::calWLf(int inst_id) {
     for (int i = 0; i < node_net[inst_id].size(); ++i) {
         int net_id = node_net[inst_id][i].first;
         int pin_id = node_net[inst_id][i].second;
-        int cell_id = cells[inst_id];
-        std::pair<float, float> pin_pos = techs[0][cell_id].pins[pin_id];
+
+        std::pair<float, float> pin_pos = insts[inst_id]->pins[pin_id];
+        //int cell_id = cells[inst_id];
+        //std::pair<float, float> pin_pos = techs[0][cell_id].pins[pin_id];
 
         int netsize = nets[net_id].size();
         forcex += net_center[net_id].first - (posx + pin_pos.first)* netsize;
@@ -189,7 +356,7 @@ void Circuit::initialPlacement(int iteration=30) {
     float centerx = h / 2;
     float centery = w / 2;
     for (int i = 0; i < cell_num; ++i) {
-        cell_pos[i] = std::make_pair(centerx - static_cast<float>(insts[i].h)/2, centery - static_cast<float>(insts[i].w)/2);
+        cell_pos[i] = std::make_pair(centerx - static_cast<float>(insts[i]->h)/2, centery - static_cast<float>(insts[i]->w)/2);
     }
 
     // place considering only wire length force
@@ -255,7 +422,7 @@ void Circuit::moveCellCoordinates() {
         std::cout << "moving force: " << force[i].first << "  " << force[i].second << std::endl;
     }*/
 
-    for (int i = 0; i < allcell_num; ++i) {
+    for (int i = 0; i < all; ++i) {
         const float posX = cell_pos[i].first;
         const float posY = cell_pos[i].second;
         const float velX = velocity[i].first;
@@ -275,8 +442,8 @@ void Circuit::moveCellCoordinates() {
         
         //std::cout << "moving: " << h << "  " << w << std::endl;
 
-        if (cell_pos[i].first + insts[i].h > h) {
-            cell_pos[i].first = (int) h - insts[i].h;
+        if (cell_pos[i].first + insts[i]->h > h) {
+            cell_pos[i].first = (int) h - insts[i]->h;
             velocity[i].first = 0;
         }
         else if (cell_pos[i].first < 0) {
@@ -284,8 +451,8 @@ void Circuit::moveCellCoordinates() {
             velocity[i].first = 0;
         }
 
-        if (cell_pos[i].second + insts[i].w > w) {
-            cell_pos[i].second = (int) w - insts[i].w;
+        if (cell_pos[i].second + insts[i]->w > w) {
+            cell_pos[i].second = (int) w - insts[i]->w;
             velocity[i].second = 0;
         }
         else if (cell_pos[i].second < 0) {
@@ -301,7 +468,7 @@ void Circuit::moveCellCoordinates() {
 }
 
 void Circuit::checkCellPlace() {
-    for (int i = 0; i < allcell_num; ++i) {
+    for (int i = 0; i < all; ++i) {
         assert(cell_pos[i].first >= 0);
         assert(cell_pos[i].second >= 0);
         assert(cell_pos[i].first <= h);
@@ -333,8 +500,15 @@ float Circuit::calHPWL() {
         for (int j = 0; j < nets[i].size(); ++j) {
             int inst_id = nets[i][j].first;
             int pin_id = nets[i][j].second;
-            int cell_id = cells[inst_id];
-            std::pair<float, float> pin_pos = techs[0][cell_id].pins[pin_id];
+
+            //std::cout << inst_id << "  " << pin_id << std::endl;
+            //std::cout << insts[inst_id]->h << "  " << insts[inst_id]->w << " " << insts[inst_id]->pins.size()<< std::endl;
+            //std::cout << techs[0][1]->h << "  " << techs[0][1]->w << " " << techs[0][1]->pins.size() << std::endl;
+            std::pair<float, float> pin_pos = insts[inst_id]->pins[pin_id];
+            //std::cout << inst_id << "  " << pin_id << std::endl;
+            
+            //int cell_id = cells[inst_id];
+            //std::pair<float, float> pin_pos = techs[0][cell_id].pins[pin_id];
             
             min_x = std::min(min_x, cell_pos[inst_id].first + pin_pos.first);
             max_x = std::max(max_x, cell_pos[inst_id].first + pin_pos.first);
@@ -401,15 +575,23 @@ void Circuit::fftinit() {
 
     //std::cout << "here 0" << std::endl;
 
-    fftbin->electricDensity.resize(binsize_x);
-    fftbin->electricPotential.resize(binsize_x);
-    fftbin->electricField_x.resize(binsize_x);
-    fftbin->electricField_y.resize(binsize_x);
+    fftbin->electricDensity_top.resize(binsize_x);
+    fftbin->electricDensity_bottom.resize(binsize_x);
+    fftbin->electricPotential_top.resize(binsize_x);
+    fftbin->electricPotential_bottom.resize(binsize_x);
+    fftbin->electricField_x_top.resize(binsize_x);
+    fftbin->electricField_x_bottom.resize(binsize_x);
+    fftbin->electricField_y_top.resize(binsize_x);
+    fftbin->electricField_y_bottom.resize(binsize_x);
     for (int i = 0; i < binsize_x; ++i) {
-        fftbin->electricDensity[i] = new float[binsize_y]{0};
-        fftbin->electricPotential[i] = new float[binsize_y]{0};
-        fftbin->electricField_x[i] = new float[binsize_y]{0};
-        fftbin->electricField_y[i] = new float[binsize_y]{0};
+        fftbin->electricDensity_top[i] = new float[binsize_y]{0};
+        fftbin->electricDensity_bottom[i] = new float[binsize_y]{0};
+        fftbin->electricPotential_top[i] = new float[binsize_y]{0};
+        fftbin->electricPotential_bottom[i] = new float[binsize_y]{0};
+        fftbin->electricField_x_top[i] = new float[binsize_y]{0};
+        fftbin->electricField_x_bottom[i] = new float[binsize_y]{0};
+        fftbin->electricField_y_top[i] = new float[binsize_y]{0};
+        fftbin->electricField_y_bottom[i] = new float[binsize_y]{0};
     }
     
     /*
@@ -419,29 +601,37 @@ void Circuit::fftinit() {
     
     //std::cout << "here 1" << std::endl;
     
-    fftbin->stdArea.resize(binsize_x);
-    fftbin->fillerArea.resize(binsize_x);
+    fftbin->stdArea_top.resize(binsize_x);
+    fftbin->stdArea_bottom.resize(binsize_x);
+    fftbin->fillerArea_top.resize(binsize_x);
+    fftbin->fillerArea_bottom.resize(binsize_x);
     for (int i = 0; i < binsize_x; ++i) {
-        fftbin->stdArea[i].resize(binsize_y);
-        fftbin->fillerArea[i].resize(binsize_y);
+        fftbin->stdArea_top[i].resize(binsize_y);
+        fftbin->stdArea_bottom[i].resize(binsize_y);
+        fftbin->fillerArea_top[i].resize(binsize_y);
+        fftbin->fillerArea_bottom[i].resize(binsize_y);
 
     }
 
     //std::cout << "here 2" << std::endl;
     
-    fftbin->wx.resize(binsize_x, 0);
-    fftbin->wx_sq.resize(binsize_x, 0);
-    fftbin->wy.resize(binsize_y, 0);
-    fftbin->wy_sq.resize(binsize_y, 0);
+    fftbin->wx_top.resize(binsize_x, 0);
+    fftbin->wx_bottom.resize(binsize_x, 0);
+    fftbin->wx_sq_top.resize(binsize_x, 0);
+    fftbin->wx_sq_bottom.resize(binsize_x, 0);
+    fftbin->wy_top.resize(binsize_y, 0);
+    fftbin->wy_bottom.resize(binsize_y, 0);
+    fftbin->wy_sq_top.resize(binsize_y, 0);
+    fftbin->wy_sq_bottom.resize(binsize_y, 0);
 
     for (int i = 0; i < binsize_x; ++i) {
-        fftbin->wx[i] = M_PI * static_cast<float>(i) / static_cast<float>(binsize_x);
-        fftbin->wx_sq[i] = fftbin->wx[i] * fftbin->wx[i];
+        fftbin->wx_top[i] = fftbin->wx_bottom[i] = M_PI * static_cast<float>(i) / static_cast<float>(binsize_x);
+        fftbin->wx_sq_top[i] = fftbin->wx_sq_bottom[i] = fftbin->wx_top[i] * fftbin->wx_top[i];
     }
 
     for (int i = 0; i < binsize_y; ++i) {
-        fftbin->wy[i] = M_PI * static_cast<float>(i) / static_cast<float>(binsize_y) * static_cast<float>(fftbin->size_y) / static_cast<float>(fftbin->size_x);
-        fftbin->wy_sq[i] = fftbin->wy[i] * fftbin->wy[i];
+        fftbin->wy_top[i] = fftbin->wy_bottom[i] = M_PI * static_cast<float>(i) / static_cast<float>(binsize_y) * static_cast<float>(fftbin->size_y) / static_cast<float>(fftbin->size_x);
+        fftbin->wy_sq_top[i] = fftbin->wy_sq_bottom[i] = fftbin->wy_top[i] * fftbin->wy_top[i];
 
     }
 
@@ -475,30 +665,48 @@ void Circuit::updateDensity() {
     for (int i = 0; i < binsize_x; ++i) {
         for (int j = 0; j < binsize_y; ++ j) {
             //std::cout << i << "  " << j << "  " << fftbin->stdArea[i][j] << std::endl;
-            fftbin->stdArea[i][j] = 0;
-            fftbin->fillerArea[i][j] = 0;
+            fftbin->stdArea_top[i][j] = 0;
+            fftbin->stdArea_bottom[i][j] = 0;
+            fftbin->fillerArea_top[i][j] = 0;
+            fftbin->fillerArea_bottom[i][j] = 0;
         }
     }
     for (int k = 0; k < cell_num; ++k) {
-        for (int i = 0; i < binsize_x; ++i) {
-            for (int j = 0; j < binsize_y; ++ j) {
+        //int llx = std::floor(static_cast<float>(cell_pos[k].first)  / fftbin->size_x);
+        int llx = cell_pos[k].first  / fftbin->size_x;
+        int lly = cell_pos[k].second / fftbin->size_y;
+        int urx = (cell_pos[k].first + insts[k]->h)  / fftbin->size_x;
+        int ury = (cell_pos[k].second + insts[k]->w) / fftbin->size_y;
+        for (int i = llx; i < urx; ++i) {
+            for (int j = lly; j < ury; ++ j) {
                 //std::cout << i << "  " << j << "  " << fftbin->stdArea[i][j] << std::endl;
-                fftbin->stdArea[i][j] += fftbin->getOverlap(i, j, cell_pos[k].first, cell_pos[k].second, insts[k].h, insts[k].w) / densityScale;
+                if (layer[k] == 0)
+                    fftbin->stdArea_top[i][j] += fftbin->getOverlap(i, j, cell_pos[k].first, cell_pos[k].second, insts[k]->h, insts[k]->w) / densityScale;
+                else
+                    fftbin->stdArea_bottom[i][j] += fftbin->getOverlap(i, j, cell_pos[k].first, cell_pos[k].second, insts[k]->h, insts[k]->w) / densityScale;
             }
         }
     }
-    for (int k = cell_num; k < allcell_num; ++k) {
-        for (int i = 0; i < binsize_x; ++i) {
-            for (int j = 0; j < binsize_y; ++ j) {
-                fftbin->fillerArea[i][j] += fftbin->getOverlap(i, j, cell_pos[k].first, cell_pos[k].second, insts[k].h, insts[k].w) / densityScale;
+    for (int k = cell_num; k < all; ++k) {
+        int llx = cell_pos[k].first  / fftbin->size_x;
+        int lly = cell_pos[k].second / fftbin->size_y;
+        int urx = (cell_pos[k].first + insts[k]->h)  / fftbin->size_x;
+        int ury = (cell_pos[k].second + insts[k]->w) / fftbin->size_y;
+        for (int i = llx; i < urx; ++i) {
+            for (int j = lly; j < ury; ++ j) {
+                if (layer[k] == 0)
+                    fftbin->fillerArea_top[i][j] += fftbin->getOverlap(i, j, cell_pos[k].first, cell_pos[k].second, insts[k]->h, insts[k]->w) / densityScale;
+                else
+                    fftbin->fillerArea_bottom[i][j] += fftbin->getOverlap(i, j, cell_pos[k].first, cell_pos[k].second, insts[k]->h, insts[k]->w) / densityScale;
             }
         }
     }
 
     for (int i = 0; i < binsize_x; ++i) {
         for (int j = 0; j < binsize_y; ++ j) {
-            fftbin->electricDensity[i][j] = (fftbin->stdArea[i][j] + fftbin->fillerArea[i][j]) / (fftbin->area); //issue 4 mutltiply density
+            fftbin->electricDensity_top[i][j] = (fftbin->stdArea_top[i][j] + fftbin->fillerArea_top[i][j]) / (fftbin->area); //issue 4 mutltiply density
             //std::cout << "density: " << i << "  " << j << "  " << fftbin->electricDensity[i][j] << std::endl;
+            fftbin->electricDensity_bottom[i][j] = (fftbin->stdArea_bottom[i][j] + fftbin->fillerArea_bottom[i][j]) / (fftbin->area); 
         }
     }
 
@@ -509,28 +717,34 @@ void Circuit::updateDensity() {
 void Circuit::cellClassify() {
 
     //std::cout << "herh " << binsize_x << std::endl;
-    fftbin->correspondCells.resize(binsize_x);
+    fftbin->correspondCells_top.resize(binsize_x);
+    fftbin->correspondCells_bottom.resize(binsize_x);
     for (int i = 0; i < binsize_x; ++i) {
-        fftbin->correspondCells[i].resize(binsize_y); 
+        fftbin->correspondCells_top[i].resize(binsize_y); 
+        fftbin->correspondCells_bottom[i].resize(binsize_y); 
         for (int j = 0; j < binsize_y; ++j) {           
-            fftbin->correspondCells[i][j].clear();
+            fftbin->correspondCells_top[i][j].clear();
+            fftbin->correspondCells_bottom[i][j].clear();
             //fftbin->correspondCells[i][j].resize(0);
         }
 
     }
     //std::cout << "herh " << std::endl;     
     int binIdx_x, binIdx_y;
-    for (int i = 0; i < allcell_num; ++i) {
+    for (int i = 0; i < all; ++i) {
         int cell_id = cells[i];
-        float cell_x = static_cast<float>(cell_pos[i].first) + insts[i].h / 2;
-        float cell_y = static_cast<float>(cell_pos[i].second) + insts[i].w / 2;
+        float cell_x = static_cast<float>(cell_pos[i].first) + insts[i]->h / 2;
+        float cell_y = static_cast<float>(cell_pos[i].second) + insts[i]->w / 2;
 
         binIdx_x = std::min(static_cast<int>(floor(cell_x / fftbin->size_x)), static_cast<int>(binsize_x - 1));
         binIdx_x = std::max(binIdx_x, 0);
         binIdx_y = std::min(static_cast<int>(floor(cell_y / fftbin->size_y)), static_cast<int>(binsize_y - 1));
         binIdx_y = std::max(binIdx_y, 0);
 
-        fftbin->correspondCells[binIdx_x][binIdx_y].push_back(i);
+        if (layer[i] == 0)
+            fftbin->correspondCells_top[binIdx_x][binIdx_y].push_back(i);
+        else
+            fftbin->correspondCells_bottom[binIdx_x][binIdx_y].push_back(i);
     }
 }
 
@@ -546,18 +760,58 @@ void Circuit::Iteration(int iternum) {
         for (int j = 0; j < binsize_y; ++j) {
             //std::cout << "here ij " << i << "  " << j << std::endl;
             
-            int cell_len = fftbin->correspondCells[i][j].size();
+            //top cell movements
+            int cell_len = fftbin->correspondCells_top[i][j].size();
+            for (int k = 0; k < cell_len; ++k) {
+                //std::cout << "check 0: " << cell_len << k << std::endl;
+                int cel = fftbin->correspondCells_top[i][j][k];
+                //float e_Density = fftbin->electricDensity[i][j];
+                float cell_area = insts[cel]->area;
+
+                //apply electric force
+                
+                //std::cout << "check 1: " << std::endl;
+                force[cel].first = fftbin->electricField_x_top[i][j] * cell_area;
+                force[cel].second= fftbin->electricField_y_top[i][j] * cell_area;
+
+                // is filler cell
+                //std::cout << "check 2: " << std::endl;
+                if (cel < cell_num) {
+                    std::pair<float, float> wireforce = calWLf(cel);
+                    force[cel].first += wireforce.first;
+                    force[cel].second += wireforce.second;
+                }
+
+                //std::cout << "check 3: " << std::endl;
+                float friction_x = frictionCoefficient * velocity[cel].first;
+                float friction_y = frictionCoefficient * velocity[cel].second;
+
+                force[cel].first -= friction_x;
+                force[cel].second -= friction_y;
+
+                //std::cout << "check 4: " << std::endl;
+                
+                if (friction_x * force[cel].first > 0 && abs(friction_x) > abs(force[cel].first))
+                    force[cel].first = 0;
+                if (friction_y * force[cel].second > 0 && abs(friction_y) > abs(force[cel].second))
+                    force[cel].second = 0;
+                
+
+            }
+
+            //bottom cell movements
+            cell_len = fftbin->correspondCells_bottom[i][j].size();
             for (int k = 0; k < cell_len; ++k) {
                 //std::cout << "check 0: " << cell_len << k << std::endl;
-                int cel = fftbin->correspondCells[i][j][k];
+                int cel = fftbin->correspondCells_bottom[i][j][k];
                 //float e_Density = fftbin->electricDensity[i][j];
-                float cell_area = insts[cel].area;
+                float cell_area = insts[cel]->area;
 
                 //apply electric force
                 
                 //std::cout << "check 1: " << std::endl;
-                force[cel].first = fftbin->electricField_x[i][j] * cell_area;
-                force[cel].second= fftbin->electricField_y[i][j] * cell_area;
+                force[cel].first = fftbin->electricField_x_bottom[i][j] * cell_area;
+                force[cel].second= fftbin->electricField_y_bottom[i][j] * cell_area;
 
                 // is filler cell
                 //std::cout << "check 2: " << std::endl;
@@ -586,7 +840,7 @@ void Circuit::Iteration(int iternum) {
 
         }
     }
-
+    /*
     //print();
     for (int i = 0; i < binsize_x ; ++i) {
         for (int j = 0; j < binsize_y; ++j) {
@@ -594,10 +848,26 @@ void Circuit::Iteration(int iternum) {
         }
         std::cout << std::endl;
     }
+    std::cout << std::endl << std::endl;
+    for (int i = 0; i < binsize_x ; ++i) {
+        for (int j = 0; j < binsize_y; ++j) {
+            std::cout << fftbin->electricField_x[i][j] << " ";
+        }
+        std::cout << std::endl;
+    }
+    std::cout << std::endl << std::endl;
+    for (int i = 0; i < binsize_x ; ++i) {
+        for (int j = 0; j < binsize_y; ++j) {
+            std::cout << fftbin->electricField_y[i][j] << " ";
+        }
+        std::cout << std::endl;
+    }
+    */
+    
     
-    std::string picname;
-    picname = "check0.bmp";
-    draw(picname);
+    //std::string picname;
+    //picname = "check0.bmp";
+    //draw(picname);
     //std::cout << "HPWL 4:" << calHPWL() << std::endl;
     moveCellCoordinates();
     //std::cout << "HPWL 5:" << calHPWL() << std::endl;
@@ -606,19 +876,22 @@ void Circuit::Iteration(int iternum) {
     updateDensity();
 
     
-    for (int i = 0; i < binsize_x ; ++i) {
-        for (int j = 0; j < binsize_y; ++j) {
-            std::cout << fftbin->electricDensity[i][j] << " ";
-        }
-        std::cout << std::endl;
-    }
+    //for (int i = 0; i < binsize_x ; ++i) {
+    //    for (int j = 0; j < binsize_y; ++j) {
+    //        std::cout << fftbin->electricDensity[i][j] << " ";
+    //    }
+    //    std::cout << std::endl;
+    //}
+   
+    //picname = "check1.bmp";
+    //draw(picname);
     
     
     
     //std::cout << "HPWL 7:" << calHPWL() << std::endl;
     doFFT();
-    picname = "check1.bmp";
-    draw(picname);
+    //picname = "check1.bmp";
+    //draw(picname);
 
     //print();
 
@@ -629,10 +902,249 @@ void Circuit::Iteration(int iternum) {
 }
 
 
+void Circuit::finish() {
+    std::cout << "Legalizing..." << std::endl;
+    legalize();
+    std::cout << "Legalization done." << std::endl;
+
+    
+    std::cout << "placing terminals..." << std::endl;
+    terminalAssignment();
+    std::cout << "terminals found." << std::endl;
+}
+
+void Circuit::legalize() {
+    std::vector<row> top_rows;
+    int top_row_h = die_infro[0].rowHeight;
+    int top_row_num = die_infro[0].rowN;
+    top_rows.reserve(top_row_num);    
+    for (int i = 0; i < top_row_num; i++) {
+        top_rows.push_back({0, i*top_row_h, h, top_row_h});
+    }
+
+    std::vector<row> bottom_rows;    
+    int bottom_row_h = die_infro[1].rowHeight;
+    int bottom_row_num = die_infro[1].rowN;
+    bottom_rows.reserve(bottom_row_num);    
+    for (int i = 0; i < bottom_row_num; i++) {
+        bottom_rows.push_back({0, i*bottom_row_h, h, bottom_row_h});
+    }
+
+    std::vector<node*> top_cells;
+    std::vector<node*> bottom_cells;
+    top_cells.reserve(movecell_num[0]);
+    bottom_cells.reserve(movecell_num[1]);
+    for (int i = 0; i < cell_num; ++i) {
+        int wid;
+        if (layer[i] == 0) {
+            if (insts[i]->is_macro)
+                wid = std::ceil(static_cast<float>(insts[i]->w) / top_row_h) * top_row_h;
+            else
+                wid = insts[i]->w;
+            //std::cout << wid << std::endl;
+            //insts[i]->w = wid;
+            top_cells.push_back(new node{cell_pos[i].first, cell_pos[i].second, insts[i]->h, wid});
+        }
+        else {
+            if (insts[i]->is_macro)
+                wid = std::ceil(static_cast<float>(insts[i]->w) / bottom_row_h) * bottom_row_h;
+            else
+                wid = insts[i]->w;
+            bottom_cells.push_back(new node{cell_pos[i].first, cell_pos[i].second, insts[i]->h, insts[i]->w});
+        }
+    }
+    
+	int top_cost = abacus(top_cells, top_rows);
+    int bottom_cost = abacus(bottom_cells, bottom_rows);
+
+    std::cout << "top layer abacus cost: " << top_cost << std::endl;
+    std::cout << "bottom layer abacus cost: " << bottom_cost << std::endl;
+
+    int top_pointer = 0;
+    int bottom_pointer = 0;
+    for (int i = 0; i < cell_num; ++i) {
+        if (layer[i] == 0) {
+            cell_pos[i] = std::make_pair(top_cells[top_pointer]->x, top_cells[top_pointer]->y);
+            top_pointer++;
+        }
+        else {
+            cell_pos[i] = std::make_pair(bottom_cells[bottom_pointer]->x, bottom_cells[bottom_pointer]->y);
+            bottom_pointer++;
+        }
+    }
+
+
+}
+
+void Circuit::terminalAssignment() {
+    std::vector<int> net_layer;
+    std::vector<int> ind;
+    net_layer.resize(net_num, 0);
+    ind.resize(net_num, 0);
+
+    for (int j = 0; j < net_num; ++j) {
+        for (int i = 0; i < nets[j].size(); ++i) {
+            int inst_id = nets[j][i].first;
+            if (layer[inst_id] == 0) {
+                if (net_layer[j] == 0) {
+                    net_layer[j] = 1;
+                }
+                else if (net_layer[j] == 3) {
+                    net_layer[j] = 2;
+                }
+            }
+            else if (layer[inst_id] == 1) {
+                if (net_layer[j] == 0) {
+                    net_layer[j] = 3;
+                }
+                else if (net_layer[j] == 1) {
+                    net_layer[j] = 2;
+                }
+
+            }
+
+            if (net_layer[j] == 2) {
+                break;
+            }
+        }
+    }
+
+    std::cout << "end nets calculation." << std::endl;
+    for (int i = 0; i < net_num; ++i) {
+        std::cout << net_layer[i] << std::endl;
+    }
+
+    int k = 0;
+    for (int i = 0; i < net_num; ++i) {
+        if (net_layer[i] == 2) {
+            ind[k] = i;
+            ++k;
+        }
+    }
+    for (int i = 0; i < net_num; ++i) {
+        std::cout << ind[i] << std::endl;
+    }
+
+    int t_num = k;  // terminal num
+    int ts_h = (h - tspaceing) / (th + tspaceing);
+    int ts_w = (w - tspaceing) / (tw + tspaceing);
+    int ts_num = ts_h * ts_w;  // possible terminal num
+    
+    std::cout << "start matching " << t_num << " terminal" << std::endl;
+    //for (int i = 0; i < t_num; ++i) {
+    //    std::cout << "net id:" << ind[i] << std::endl;;
+    //}
+
+    // find possible terminal position
+    term = new Terminal(t_num, ts_num);
+    for (int i = 0; i < t_num; ++i) {
+        int net_id = ind[i];
+
+        float top_min_x = h;
+        float top_max_x = 0;
+        float top_min_y = w;
+        float top_max_y = 0;
+        
+        float bottom_min_x = h;
+        float bottom_max_x = 0;
+        float bottom_min_y = w;
+        float bottom_max_y = 0;
+
+        for (int j = 0; j < nets[net_id].size(); ++j) {
+            int inst_id = nets[net_id][j].first;
+            int pin_id = nets[net_id][j].second;
+
+            std::pair<float, float> pin_pos = insts[inst_id]->pins[pin_id];
+
+            if (layer[i] == 0) {
+                
+                top_min_x = std::min(top_min_x, cell_pos[inst_id].first + pin_pos.first);
+                top_max_x = std::max(top_max_x, cell_pos[inst_id].first + pin_pos.first);
+                top_min_y = std::min(top_min_y, cell_pos[inst_id].second + pin_pos.second);
+                top_max_y = std::max(top_max_y, cell_pos[inst_id].second + pin_pos.second);
+            }
+            else {
+                bottom_min_x = std::min(bottom_min_x, cell_pos[inst_id].first + pin_pos.first);
+                bottom_max_x = std::max(bottom_max_x, cell_pos[inst_id].first + pin_pos.first);
+                bottom_min_y = std::min(bottom_min_y, cell_pos[inst_id].second + pin_pos.second);
+                bottom_max_y = std::max(bottom_max_y, cell_pos[inst_id].second + pin_pos.second);
+            }
+
+                    
+          
+
+        }
+
+        //std::cout << min_x << "  " << max_x << "  " << min_y << "  " << max_y << std::endl;
+
+        //break;
+
+        float rectLx = std::max(top_min_x, bottom_min_x);
+        float rectLy = std::max(top_min_y, bottom_min_y);
+        float rectUx = std::min(top_max_x, bottom_max_x);
+        float rectUy = std::min(top_max_y, bottom_max_y);
+
+        float overlapWidth = rectUx - rectLx;
+        float overlapHeight = rectUy - rectLy;
+
+        int additional_length = ((overlapWidth > 0)? 0 : -overlapWidth) + ((overlapHeight > 0) ? 0 : -overlapHeight);
+
+        float llx = std::min(rectLx, rectUx);
+        float lly = std::min(rectLy, rectUy);
+        float urx = std::max(rectLx, rectUx);
+        float ury = std::max(rectLy, rectUy);
+
+        int t_llx = std::floor((llx + th/2) / (th + tspaceing));
+        int t_lly = std::floor((lly + tw/2) / (tw + tspaceing));
+        int t_urx = std::ceil((llx + th/2) / (th + tspaceing));
+        int t_ury = std::ceil((lly + tw/2) / (tw + tspaceing));
+
+        for (int j = t_llx; j <= t_urx; ++j) {
+            for (int l = t_lly; l <= t_ury; ++l) {
+                term->index[i].push_back(j * ts_w + l);
+                term->value[i].push_back(additional_length);
+            }
+        }
+
+        /*
+        if (t_llx == t_urx) {
+
+        }
+        if (t_lly == t_ury) {
+
+        }
+        */
+    }
+
+    term->run();
+
+    std::cout << "km" << std::endl;
+
+    
+    std::cout << "  " << ts_h << " " << ts_w << " " << tspaceing << std::endl;
+
+    term_pos.resize(t_num);
+    for (int i = 0; i < t_num; ++i) {
+        int ts_x = term->cx[i] / ts_w;
+        int ts_y = term->cx[i] % ts_w;
+        int t_x = ts_x * (th + tspaceing) + tspaceing;
+        int t_y = ts_y * (tw + tspaceing) + tspaceing;
+        std::cout << i << ts_x << ts_y << t_x << t_y << std::endl;
+        term_pos[i] = std::make_pair(t_x, t_y);
+    }
+
+    for (int i = 0; i < t_num; ++i) {
+        std::cout << "net id:" << ind[i] << "  pos  :" << term_pos[i].first << "  " << term_pos[i].second << std::endl;;
+    }
+
+
+}
+
+
 void Circuit::print() {
     std::cout << std::endl;
     for (int i = 0; i < cell_num; ++i) {
-        std::cout << "id: " << i << " (h,w)= " << insts[i].h << ", " << insts[i].w << " pos= " << cell_pos[i].first << ", " << cell_pos[i].second << " force=" << force[i].first << ", "  << force[i].second << std::endl;
+        std::cout << "id: " << i << " (h,w)= " << insts[i]->h << ", " << insts[i]->w << " pos= " << cell_pos[i].first << ", " << cell_pos[i].second << " force=" << force[i].first << ", "  << force[i].second << std::endl;
     }
 
 }
@@ -640,6 +1152,7 @@ void Circuit::print() {
 
 #if VISUAL
 void Circuit::draw(std::string filename, int Scale) {
+    std::cout << "drawing " << filename << std::endl;
     scale = static_cast<float>(std::max(h, w)) / 500;
     int size_x = static_cast<float>(h) / scale;
     int size_y = static_cast<float>(w) / scale;
@@ -649,8 +1162,9 @@ void Circuit::draw(std::string filename, int Scale) {
 
     //std::cout << "Visualizing: " << h << w << " " << scale << "  " << size_x << "  " << size_y << std::endl;
 
-    cimg_library::CImg<unsigned char> image(size_x, size_y, size_z, Channel, initialValue);
-    plotCells(image);
+    cimg_library::CImg<unsigned char> image(size_x*2 + mid_width, size_y, size_z, Channel, initialValue);
+    image.draw_rectangle(size_x, 0, size_x + mid_width, size_y, Color::BLACK);
+    plotCells(image, size_x);
 
     plotNets(image);
 
@@ -658,17 +1172,22 @@ void Circuit::draw(std::string filename, int Scale) {
     image.save(filePath.c_str());
 }
 
-void Circuit::plotCells(cimg_library::CImg<unsigned char>& image) {
-    for (int inst_id = 0; inst_id < allcell_num; ++inst_id) {
+void Circuit::plotCells(cimg_library::CImg<unsigned char>& image, int size_x) {
+    for (int inst_id = 0; inst_id < all; ++inst_id) {
         int ll_x = cell_pos[inst_id].first / scale;
         int ll_y = cell_pos[inst_id].second / scale;
 
         //int cell_id = cells[inst_id];
-        int ur_x = ll_x + std::max(static_cast<int>(insts[inst_id].h/scale), 5);
-        int ur_y = ll_y + std::max(static_cast<int>(insts[inst_id].w/scale), 5);
+        int ur_x = ll_x + std::max(static_cast<int>(insts[inst_id]->h/scale), 5);
+        int ur_y = ll_y + std::max(static_cast<int>(insts[inst_id]->w/scale), 5);
+
+        if (layer[inst_id] == 1) {
+            ll_x += size_x + mid_width;
+            ur_x += size_x + mid_width;
+        }
 
         
-        //std::cout << "ploting: " << ll_x << "  " << ll_y <<  "  " << ur_x <<  "  " << ur_y  <<  "  " << insts[inst_id].h <<  "  " << insts[inst_id].w  << std::endl;
+        //std::cout << "ploting: " << ll_x << "  " << ll_y <<  "  " << ur_x <<  "  " << ur_y  <<  "  " << insts[inst_id]->h <<  "  " << insts[inst_id]->w  << std::endl;
 
         //is std cell
         if (inst_id < cell_num) {
@@ -684,36 +1203,64 @@ void Circuit::plotCells(cimg_library::CImg<unsigned char>& image) {
 
     }
     
+
+    //top electricfield
     for (int i = 0; i < binsize_x; i = i+4) {
         for (int j = 0; j < binsize_y; j = j+4) {
             //std::cout << fftbin->size_x << " " << fftbin->size_y << std::endl;
             int ctx = (fftbin->coordx[i]+fftbin->size_x/2) / scale;
             int cty = (fftbin->coordy[j]+fftbin->size_y/2) / scale;
             //std::cout << fftbin->electricField_x[i][j] << std::endl;
-            int ctx2 = ctx + fftbin->electricField_x[i][j] / 1 / scale;
-            int cty2 = cty + fftbin->electricField_y[i][j] / 1 / scale;
+            int ctx2 = ctx + fftbin->electricField_x_top[i][j] / 1 / scale;
+            int cty2 = cty + fftbin->electricField_y_top[i][j] / 1 / scale;
+            
+            //std::cout << ctx << " " << cty << "  " << ctx2 << " " << cty2 << std::endl;
+            drawLine(image, ctx, cty, ctx2, cty2, 2, Color::RED);
+        }
+    }
+
+    //bottom electricfield
+    for (int i = 0; i < binsize_x; i = i+4) {
+        for (int j = 0; j < binsize_y; j = j+4) {
+            //std::cout << fftbin->size_x << " " << fftbin->size_y << std::endl;
+            int ctx = (fftbin->coordx[i]+fftbin->size_x/2) / scale + size_x + mid_width;
+            int cty = (fftbin->coordy[j]+fftbin->size_y/2) / scale;
+            //std::cout << fftbin->electricField_x[i][j] << std::endl;
+            int ctx2 = ctx + fftbin->electricField_x_top[i][j] / 1 / scale + size_x + mid_width;;
+            int cty2 = cty + fftbin->electricField_y_top[i][j] / 1 / scale;
             
             //std::cout << ctx << " " << cty << "  " << ctx2 << " " << cty2 << std::endl;
             drawLine(image, ctx, cty, ctx2, cty2, 2, Color::RED);
         }
     }
+
     for (int i = 0; i < binsize_x; ++i) {
        // std::cout << fftbin->coordx[i] << " " << fftbin->coordy[i] << std::endl;
     }
 
-    //plotDensity(image);
+    //plotDensity(image, size_x);
 }
 
-void Circuit::plotDensity(cimg_library::CImg<unsigned char>& image) {
+void Circuit::plotDensity(cimg_library::CImg<unsigned char>& image, int size_x) {
 
     for (int i = 0; i < binsize_x; ++i) {
         for (int j = 0; j <binsize_y; ++j) {   
-            float tmp = 255 - 255*fftbin->electricDensity[i][j] * densityScale;
+            float tmp = 255 - 255*fftbin->electricDensity_top[i][j] * densityScale;
             //std::cout << i << " " << j << "  " << tmp << std::endl;
             unsigned char c[] = {tmp, tmp, tmp};
             image.draw_rectangle(fftbin->coordx[i]/scale, fftbin->coordx[j]/scale, fftbin->coordx[i+1]/scale, fftbin->coordy[j+1]/scale, c);
         }
     }
+
+    
+    for (int i = 0; i < binsize_x; ++i) {
+        for (int j = 0; j <binsize_y; ++j) {   
+            float tmp = 255 - 255*fftbin->electricDensity_bottom[i][j] * densityScale;
+            //std::cout << i << " " << j << "  " << tmp << std::endl;
+            unsigned char c[] = {tmp, tmp, tmp};
+            image.draw_rectangle(fftbin->coordx[i]/scale + size_x + mid_width, fftbin->coordx[j]/scale, fftbin->coordx[i+1]/scale, fftbin->coordy[j+1]/scale, c);
+        }
+    }
     
 
 }

src/Database.cpp

@@ -10,7 +10,10 @@ void Database::readcase(std::string inputfilename)
     std::string temp;
 
     ss >> temp >> tech_num;
-    techs.resize(tech_num);
+    //techs.resize(tech_num);
+    techs.resize(2);
+    if (tech_num == 1)
+        techs[1].resize(1);
 
     for (int i = 0; i < tech_num; ++i) {
         ss >> temp;
@@ -24,8 +27,8 @@ void Database::readcase(std::string inputfilename)
             ss >> is_macro;
             ss >> cell_name;
             int w, h;
-            ss >> w >> h;
-            techs[i][j+1] = Cell(w, h, is_macro=="Y");
+            ss >> h >> w;
+            techs[i][j+1] = new Cell(w, h, is_macro=="Y");
             //ss >> techs[i][cell_name].w;
             //ss >> techs[i][cell_name].h;
 
@@ -33,14 +36,14 @@ void Database::readcase(std::string inputfilename)
             
             int pin_num;
             ss >> pin_num;
-            techs[i][j+1].pins.resize(pin_num);
+            techs[i][j+1]->pins.resize(pin_num);
             for (int k = 0; k < pin_num; ++k) {
                 int x, y;
                 ss >> temp;
                 ss >> temp;
                 ss >> x;
                 ss >> y;
-                techs[i][j+1].pins[k] = std::make_pair(x, y);
+                techs[i][j+1]->pins[k] = std::make_pair(x, y);
             }
         }
 
@@ -125,6 +128,7 @@ void Database::readcase(std::string inputfilename)
             node_net[inst_idx].push_back(std::make_pair(i, pin_idx));
 
             //std::cout << inst_idx << "  " << pin_idx << std::endl;
+            //if (i > 10) break;
 
 
         }

src/FFTBin.cpp

@@ -32,35 +32,35 @@ void fftBin::doFFT() {
     ddct2d(binsize_x,
            binsize_y,
            -1,
-           electricDensity.data(),
+           electricDensity_top.data(),
            NULL,
            workArea.data(),
            cosTable.data()
     );
 
     for (int i = 0; i < binsize_x; ++i) {
-        electricDensity[i][0] *= 0.5;
+        electricDensity_top[i][0] *= 0.5;
     }
 
     for (int i = 0; i < binsize_y; ++i) {
-        electricDensity[0][i] *= 0.5;
+        electricDensity_top[0][i] *= 0.5;
     }
 
     for (int i = 0; i < binsize_x; ++i) {
         for (int j = 0; j < binsize_y; ++j) {
-            electricDensity[i][j] *= 4.0 / binsize_x / binsize_y;
+            electricDensity_top[i][j] *= 4.0 / binsize_x / binsize_y;
         }
     }
 
     for (int i = 0; i < binsize_x; ++i) {
-        float wwx = wx[i];
-        float wwx2 = wx_sq[i];
+        float wwx = wx_top[i];
+        float wwx2 = wx_sq_top[i];
 
         for (int j = 0; j < binsize_y; ++j) {
-            float wwy = wy[j];
-            float wwy2 = wy_sq[j];
+            float wwy = wy_top[j];
+            float wwy2 = wy_sq_top[j];
             
-            float density = electricDensity[i][j];
+            float density = electricDensity_top[i][j];
             float phi = 0;
             float electroX = 0, electroY = 0;
             if (i == 0 && j == 0) {
@@ -72,16 +72,16 @@ void fftBin::doFFT() {
                 electroY = phi * wwy;
             }
 
-            electricPotential[i][j] = phi;
-            electricField_x[i][j] = electroX;
-            electricField_y[i][j] = electroY;
+            electricPotential_top[i][j] = phi;
+            electricField_x_top[i][j] = electroX;
+            electricField_y_top[i][j] = electroY;
         }
     }
 
     ddct2d(binsize_x,
            binsize_y,
            1,
-           electricPotential.data(),
+           electricPotential_top.data(),
            NULL,
            workArea.data(),
            cosTable.data()
@@ -89,7 +89,75 @@ void fftBin::doFFT() {
     ddsct2d(binsize_x,
            binsize_y,
            1,
-           electricField_x.data(),
+           electricField_x_top.data(),
+           NULL,
+           workArea.data(),
+           cosTable.data()
+    );
+    ddcst2d(binsize_x,
+           binsize_y,
+           1,
+           electricField_y_top.data(),
+           NULL,
+           workArea.data(),
+           cosTable.data()
+    );
+
+
+    
+    ddct2d(binsize_x,
+           binsize_y,
+           -1,
+           electricDensity_bottom.data(),
+           NULL,
+           workArea.data(),
+           cosTable.data()
+    );
+
+    for (int i = 0; i < binsize_x; ++i) {
+        electricDensity_bottom[i][0] *= 0.5;
+    }
+
+    for (int i = 0; i < binsize_y; ++i) {
+        electricDensity_bottom[0][i] *= 0.5;
+    }
+
+    for (int i = 0; i < binsize_x; ++i) {
+        for (int j = 0; j < binsize_y; ++j) {
+            electricDensity_bottom[i][j] *= 4.0 / binsize_x / binsize_y;
+        }
+    }
+
+    for (int i = 0; i < binsize_x; ++i) {
+        float wwx = wx_bottom[i];
+        float wwx2 = wx_sq_bottom[i];
+
+        for (int j = 0; j < binsize_y; ++j) {
+            float wwy = wy_bottom[j];
+            float wwy2 = wy_sq_bottom[j];
+            
+            float density = electricDensity_bottom[i][j];
+            float phi = 0;
+            float electroX = 0, electroY = 0;
+            if (i == 0 && j == 0) {
+                phi = electroX = electroY = 0.0f;
+            }
+            else {
+                phi = density / (wwx2 + wwy2);
+                electroX = phi * wwx;
+                electroY = phi * wwy;
+            }
+
+            electricPotential_bottom[i][j] = phi;
+            electricField_x_bottom[i][j] = electroX;
+            electricField_y_bottom[i][j] = electroY;
+        }
+    }
+
+    ddct2d(binsize_x,
+           binsize_y,
+           1,
+           electricPotential_bottom.data(),
            NULL,
            workArea.data(),
            cosTable.data()
@@ -97,7 +165,15 @@ void fftBin::doFFT() {
     ddsct2d(binsize_x,
            binsize_y,
            1,
-           electricField_y.data(),
+           electricField_x_bottom.data(),
+           NULL,
+           workArea.data(),
+           cosTable.data()
+    );
+    ddcst2d(binsize_x,
+           binsize_y,
+           1,
+           electricField_y_bottom.data(),
            NULL,
            workArea.data(),
            cosTable.data()
@@ -111,9 +187,14 @@ void fftBin::doFFT() {
 
 fftBin::~fftBin() {
     for (int i = 0; i < binsize_x; ++i) {
-        delete electricDensity[i];
-        delete electricPotential[i];
-        delete electricField_x[i];
-        delete electricField_y[i];
+        delete electricDensity_top[i];
+        delete electricPotential_top[i];
+        delete electricField_x_top[i];
+        delete electricField_y_top[i];
+        
+        delete electricDensity_bottom[i];
+        delete electricPotential_bottom[i];
+        delete electricField_x_bottom[i];
+        delete electricField_y_bottom[i];
     }
 }

src/Legalizer.cpp

+#include "Legalizer.h"
+
+
+
+// user need to enter terminal with the increasing x order.
+// the block function check the relative position between termianl node and place-row , and make the  correction : split the subrows or boundary correction.
+void row::block(fixed_node &terminal){
+    //pre-checking y range
+    if(terminal.origin_y + terminal.height <= y  || terminal.origin_y >= y + height)return ;
+
+    subrow* last = &(*subrows.rbegin());// this is why user need to enter terminal with the increasing x.
+    int condition;//overlap condition
+    int t_x1 = terminal.origin_x;
+    int t_x2 = t_x1 + terminal.width;
+    if( (t_x2 <= last->x1 )  || ( t_x1 >= last->x2) )condition = 0;//not overlap in x.
+    else if(t_x1 <= last->x1  && t_x2 >=last->x2)condition = 1; // completely ovelap
+    else if(t_x1 <= last->x1 && t_x2 < last->x2)condition = 2; // x|xx---|
+    else if(t_x1 > last->x1 && t_x2 < last->x2)condition = 3;//|--xxx--| need split
+    else if(t_x1 > last->x1 && t_x2 >= last->x2)condition = 4; //|---xx|x 
+    if(condition==1)
+        subrows.pop_back();//delete subrow
+    else if(condition==2)
+        last->x1 = t_x2;
+    else if(condition==3){//split new subrow
+        subrows.push_back({t_x2,last->x2-t_x2,y});
+        last = &subrows.at(subrows.size()-2);//push back may allocate new memory
+        last->x2 = t_x1;
+    }
+    else if(condition==4)
+        last->x2 = t_x1;
+    if(condition > 1) last->remainSpace = last->x2 - last->x1;
+}
+
+
+
+void subrow::Collapse(){
+    int c = clusterNum - 1;
+    // check if overlap happend.
+    for(;c >= 0 ;c--){
+        cluster&cur = Clusters.at(c);
+        cur.xc = cur.qc / cur.ec;
+        if(cur.xc < x1) cur.xc = x1;
+        if(cur.xc > x2 - cur.wc)cur.xc = x2 - cur.wc;
+        
+        if(c > 0 && Clusters.at(c-1).xc + Clusters.at(c-1).wc > cur.xc)
+            Clusters.at(c-1).AddCluster(&cur);
+        else 
+            break;//do not decrease c
+    }
+    clusterNum = c + 1;
+}
+
+// modified part : boundary fixed.
+inline int modify_x(int x1,int x2,node*n){
+    if(n->origin_x < x1)
+        return x1;
+    if(n->origin_x + n->width > x2)
+        return x2 - n->width;
+    return n->origin_x;
+}
+
+void subrow::AppendCluster(int x){
+    if(Clusters.size()==clusterNum){//need allocate new memmory.
+        Clusters.push_back(cluster{x});
+    }
+    else if(Clusters.size() > clusterNum)//update clusterNum
+        Clusters.at(clusterNum) = cluster{x};
+    else{
+        std::cerr<<"subrow::AppendCluster error, clusterNum > clusters.size()\n";
+        exit(1);
+    }
+    clusterNum++;
+}
+
+
+void subrow::place(node*n){
+    int m_x = modify_x(x1,x2,n);// abacus fixed.
+    if(empty() || last().xc + last().wc <= m_x){//if do not need place compactly.
+        AppendCluster(m_x);//new cluster
+        last().AddCell(n);//new cluster add cell
+    }
+    else{
+        last().AddCell(n);
+        Collapse();//recursive Collapse
+    }
+}
+
+int subrow::getPos(){
+    int cost = 0;
+    for(int c = 0;c < clusterNum;c++){
+        cluster& clst = Clusters.at(c);
+        int x = clst.xc;
+        for(node*n : clst.nodes){
+            n->x = x;
+            n->y = y;
+            cost+=std::abs(n->x - n->origin_x);
+            cost+=std::abs(n->y - n->origin_y);
+            x += n->width;
+        }
+    }
+    return cost;//total cost
+}
+
+
+int SubRowPlace(subrow*r,node*n){
+    r->place(n);
+    return r->getPos();
+}
+
+
+int BsSub(std::vector<subrow>&subs,node*n){
+    int l = 0;
+    int r= subs.size()-1;
+    while(l<r)
+    {
+        int mid = (l+r)/2;
+        if(subs.at(mid).x1==n->origin_x)return mid;
+        else if(subs.at(mid).x1 > n->origin_x)r = mid-1;
+        else l = mid+1;
+    }
+    return std::max(0,l);
+}
+
+bool tryPlace(subrow&sub,node*n,int&bestCost,subrow*&bestp){
+    if(sub.remainSpace >= n->width){//still have space
+        sub.place(n);
+        int afterCost = sub.getPos();
+        int dCost = afterCost - sub.cost;//new - original : cost of placing one node.
+        sub.RecvoerClusters();
+        if(dCost < bestCost){
+            bestp = &sub;
+            bestCost = dCost;
+            return true;
+        }
+        else 
+            return false;
+    }
+    return true;
+}
+
+//first : optimal subrow to place n
+//second : delta_cost
+std::pair<subrow*,int> row::placeRow(node* n){
+    //std::cout<<"placerow\n";
+    subrow* p = nullptr;//find a subrow to place p.
+    int bestCost = INT_MAX;
+    int start = BsSub(subrows,n);
+    for(int i = start-1;i<=start+1;i++){
+        if(i>=0&&i<subrows.size())
+            tryPlace(subrows.at(i),n,bestCost,p);
+    }
+   
+    for(int i = start-2;i>=0;i--){
+        if(i>=0)
+            if(!tryPlace(subrows.at(i),n,bestCost,p))break;
+    }
+    for(int i = start+2;i<subrows.size();i++){
+        if(i<subrows.size())
+            if(!tryPlace(subrows.at(i),n,bestCost,p))break;
+    }
+    return {p,bestCost};
+}
+int row::getCost()
+{
+    int cost = 0;
+    for(auto &sub:subrows)
+        cost += sub.getPos();// get final position
+    return cost;
+}
+int row::getRemain()
+{
+    int space = 0;
+    for(auto sub:subrows)space+=sub.remainSpace;
+    return space;
+}
+
+int binarySearchRow(std::vector<row>&rows,node*n)
+{
+    int l = 0;
+    int r = rows.size()-1;
+    while(l<r)
+    {
+        int mid = (l+r)/2;
+        if(rows.at(mid).y==n->origin_y)return mid;
+        else if(rows.at(mid).y > n->origin_y)r = mid-1;
+        else l = mid+1;
+    }
+    return std::max(0,l);
+}
+
+
+bool tryPlace2(std::vector<row>&rows,int i,node*n,int&bestCost,subrow*&bestPlace,int&bestRow)
+{
+    row& r = rows.at(i);
+    auto place = r.placeRow(n);
+    if(place.first && place.second < bestCost){
+        bestCost = place.second;
+        bestPlace = place.first;
+        bestRow = i;
+        return true;
+    }
+    else if(place.first)
+    return false;
+    return true;
+}
+
+int abacus(std::vector<node*>nodes,std::vector<row>&rows){
+    //sort by x
+    std::sort(nodes.begin(),nodes.end(),[](node*n1,node*n2){
+        if(n1->origin_x==n2->origin_x)
+                return n1->width < n2->width; 
+        return n1->origin_x < n2->origin_x;
+        }
+    );
+
+    bool succ = true;
+    for(auto n : nodes){
+        int bestCost = INT_MAX;
+        subrow* bestplace = nullptr;
+        int bestRow = -1;
+        int startRow = binarySearchRow(rows,n);
+        int range = 18;
+        for(int i = startRow-range;i<=startRow+range;i++){
+            if(i>=0 && i<rows.size())
+                tryPlace2(rows,i,n,bestCost,bestplace,bestRow);
+        }
+        for(int i = startRow-range-1;i>=0;i--)
+            if(!tryPlace2(rows,i,n,bestCost,bestplace,bestRow))break;
+        for(int i = startRow+range+1;i<rows.size();i++)
+            if(!tryPlace2(rows,i,n,bestCost,bestplace,bestRow))break;
+
+        if(bestplace){
+            bestplace->place(n);
+            bestplace->Backup();
+            bestplace->cost = bestplace->getPos();
+            bestplace->remainSpace-=n->width;
+            if(bestplace->remainSpace<0){ 
+                std::cerr<<"abacus remainspace<0!\n";
+                exit(1);
+            }
+        }
+        else{
+            succ = false;
+            break;
+        }
+    }
+    if(succ){
+        int cost = 0;
+        for(auto &r:rows)
+            cost+=r.getCost();
+        return cost;
+    }
+    else{
+        std::cout<<"abacus failed\n";
+        return -1;
+    }
+}