diff --git a/.gitattributes b/.gitattributes
index 8934bf9f7fa..52516f3c531 100644
--- a/.gitattributes
+++ b/.gitattributes
@@ -2577,6 +2577,14 @@ Min_sphere_of_spheres_d/test_extensive/stability/maple/balls-on-boundary-3.mws -
 Min_sphere_of_spheres_d/web/figs/heuristic/excess.xfig -text svneol=unset#application/octet-stream
 Min_sphere_of_spheres_d/web/figs/mbex/mbex.xfig -text svneol=unset#application/octet-stream
 Min_sphere_of_spheres_d/web/figs/pivot/cex.xfig -text svneol=unset#application/octet-stream
+Minkowski_sum_2/benchmark/data/chain.dat -text
+Minkowski_sum_2/benchmark/data/comb.dat -text
+Minkowski_sum_2/benchmark/data/fork.dat -text
+Minkowski_sum_2/benchmark/data/knife.dat -text
+Minkowski_sum_2/benchmark/data/random.dat -text
+Minkowski_sum_2/benchmark/data/random2.dat -text
+Minkowski_sum_2/benchmark/data/star.dat -text
+Minkowski_sum_2/benchmark/sum_by_decomposition.cpp -text
 Minkowski_sum_2/doc_tex/Minkowski_sum_2/fig/Minkowski_sum_2.png -text
 Minkowski_sum_2/doc_tex/Minkowski_sum_2/fig/approx_offset.fig -text svneol=unset#application/octet-stream
 Minkowski_sum_2/doc_tex/Minkowski_sum_2/fig/approx_offset.gif -text svneol=unset#image/gif
diff --git a/Minkowski_sum_2/benchmark/data/chain.dat b/Minkowski_sum_2/benchmark/data/chain.dat
new file mode 100644
index 00000000000..bbd30b4b01f
--- /dev/null
+++ b/Minkowski_sum_2/benchmark/data/chain.dat
@@ -0,0 +1,114 @@
+82
+1150840/1 3269680/1
+2009089/1 622385/1
+3563659/1 -1685869/1
+5694160/1 -3476329/1
+8235589/1 -4610310/1
+10991099/1 -5000000/1
+13747300/1 -4615210/1
+16290799/1 -3485749/1
+18424400/1 -1699079/1
+19983099/1 606407/1
+21100000/1 1000000/1
+22000000/1 -1000000/1
+23100000/1 1000000/1
+24000000/1 -1000000/1
+25100000/1 1000000/1
+26000000/1 -1000000/1
+27100000/1 1000000/1
+28000000/1 -1000000/1
+29100000/1 1000000/1
+30000000/1 -1000000/1
+31100000/1 1000000/1
+32000000/1 -1000000/1
+33100000/1 1000000/1
+34000000/1 -1000000/1
+35100000/1 1000000/1
+36000000/1 -1000000/1
+37100000/1 1000000/1
+38000000/1 -1000000/1
+39100000/1 1000000/1
+40000000/1 -1000000/1
+42014300/1 4388269/1
+43571599/1 6694679/1
+45704200/1 8482609/1
+48246999/1 9613579/1
+51003000/1 10000000/1
+53758699/1 9611950/1
+56300799/1 8479470/1
+58432399/1 6690280/1
+59988299/1 4382939/1
+60848100/1 1736160/1
+61150799/1 3269680/1
+62009099/1 622385/1
+63563699/1 -1685869/1
+65694200/1 -3476329/1
+68235600/1 -4610310/1
+70991099/1 -5000000/1
+73747299/1 -4615210/1
+76290799/1 -3485749/1
+78424399/1 -1699079/1
+79983100/1 606407/1
+81100000/1 1000000/1
+82000000/1 -1000000/1
+83100000/1 1000000/1
+84000000/1 -1000000/1
+85100000/1 1000000/1
+86000000/1 -1000000/1
+87100000/1 1000000/1
+88000000/1 -1000000/1
+89100000/1 1000000/1
+90000000/1 -1000000/1
+91100000/1 1000000/1
+92000000/1 -1000000/1
+93100000/1 1000000/1
+94000000/1 -1000000/1
+95100000/1 1000000/1
+96000000/1 -1000000/1
+97100000/1 1000000/1
+98000000/1 -1000000/1
+99100000/1 1000000/1
+100000000/1 -1000000/1
+102013999/1 4388269/1
+103572000/1 6694679/1
+105703999/1 8482609/1
+108247000/1 9613579/1
+111002999/1 10000000/1
+113758999/1 9611950/1
+116301000/1 8479470/1
+118432000/1 6690280/1
+119987999/1 4382939/1
+120847999/1 1736160/1
+121100000/1 -30000000/1
+0/1 -30000000/1
+30
+3000000/1 5000000/1
+2934470/1 5623619/1
+2740729/1 6219990/1
+2427259/1 6763070/1
+1606200/1 6783289/1
+1500509/1 7597780/1
+927727/1 7852949/1
+314410/1 7983479/1
+-312641/1 7983659/1
+-740828/1 7282799/1
+-1498969/1 7598669/1
+-2006419/1 7230309/1
+-2426210/1 6764510/1
+-2740009/1 6221620/1
+-2347280/1 5500289/1
+-3000000/1 5001779/1
+-2934839/1 4378120/1
+-2741460/1 3781630/1
+-2428300/1 3238369/1
+-1607249/1 3217660/1
+-1502050/1 2403110/1
+-929418/1 2147599/1
+-316178/1 2016709/1
+310873/1 2016150/1
+739475/1 2716759/1
+1497429/1 2400440/1
+2005099/1 2768500/1
+2425169/1 3234060/1
+2739279/1 3776759/1
+2346980/1 4498319/1
diff --git a/Minkowski_sum_2/benchmark/data/comb.dat b/Minkowski_sum_2/benchmark/data/comb.dat
new file mode 100644
index 00000000000..fd7a9cde92d
--- /dev/null
+++ b/Minkowski_sum_2/benchmark/data/comb.dat
@@ -0,0 +1,77 @@
+53
+1250/1 100/1
+1250/1 50/1
+0/1 50/1
+0/1 100/1
+25/1 250/1
+50/1 100/1
+75/1 250/1
+100/1 100/1
+125/1 250/1
+150/1 100/1
+175/1 250/1
+200/1 100/1
+225/1 250/1
+250/1 100/1
+275/1 250/1
+300/1 100/1
+325/1 250/1
+350/1 100/1
+375/1 250/1
+400/1 100/1
+425/1 250/1
+450/1 100/1
+475/1 250/1
+500/1 100/1
+525/1 250/1
+550/1 100/1
+575/1 250/1
+600/1 100/1
+625/1 250/1
+650/1 100/1
+675/1 250/1
+700/1 100/1
+725/1 250/1
+750/1 100/1
+775/1 250/1
+800/1 100/1
+825/1 250/1
+850/1 100/1
+875/1 250/1
+900/1 100/1
+925/1 250/1
+950/1 100/1
+975/1 250/1
+1000/1 100/1
+1025/1 250/1
+1050/1 100/1
+1075/1 250/1
+1100/1 100/1
+1125/1 250/1
+1150/1 100/1
+1175/1 250/1
+1200/1 100/1
+1225/1 250/1
+22
+20/1 0/1
+-20/1 0/1
+-19/1 7/1
+-17/1 9/1
+-15/1 11/1
+-13/1 13/1
+-11/1 15/1
+-9/1 17/1
+-7/1 19/1
+-5/1 21/1
+-3/1 23/1
+-1/1 25/1
+1/1 27/1
+3/1 29/1
+5/1 31/1
+7/1 33/1
+9/1 35/1
+11/1 37/1
+13/1 39/1
+15/1 41/1
+17/1 43/1
+19/1 45/1
diff --git a/Minkowski_sum_2/benchmark/data/fork.dat b/Minkowski_sum_2/benchmark/data/fork.dat
new file mode 100644
index 00000000000..243ed16b268
--- /dev/null
+++ b/Minkowski_sum_2/benchmark/data/fork.dat
@@ -0,0 +1,67 @@
+34
+-500/1 -500/1
+-500/1 100/1
+0/1 102/1
+-500/1 104/1
+-500/1 200/1
+0/1 202/1
+-500/1 204/1
+-500/1 300/1
+0/1 302/1
+-500/1 304/1
+-500/1 400/1
+0/1 402/1
+-500/1 404/1
+-500/1 500/1
+0/1 502/1
+-500/1 504/1
+-510/1 500/1
+-510/1 -510/1
+500/1 -510/1
+504/1 -500/1
+502/1 0/1
+500/1 -500/1
+404/1 -500/1
+402/1 0/1
+400/1 -500/1
+304/1 -500/1
+302/1 0/1
+300/1 -500/1
+204/1 -500/1
+202/1 0/1
+200/1 -500/1
+104/1 -500/1
+102/1 0/1
+100/1 -500/1
+31
+0/1 0/1
+0/1 100/1
+2/1 600/1
+4/1 100/1
+20/1 100/1
+22/1 600/1
+24/1 100/1
+40/1 100/1
+42/1 600/1
+44/1 100/1
+60/1 100/1
+62/1 600/1
+64/1 100/1
+80/1 100/1
+82/1 600/1
+84/1 100/1
+100/1 80/1
+600/1 78/1
+100/1 76/1
+100/1 60/1
+600/1 58/1
+100/1 56/1
+100/1 40/1
+600/1 38/1
+100/1 36/1
+100/1 20/1
+600/1 18/1
+100/1 16/1
+100/1 0/1
+600/1 -2/1
+100/1 -4/1
diff --git a/Minkowski_sum_2/benchmark/data/knife.dat b/Minkowski_sum_2/benchmark/data/knife.dat
new file mode 100644
index 00000000000..36fb830be37
--- /dev/null
+++ b/Minkowski_sum_2/benchmark/data/knife.dat
@@ -0,0 +1,78 @@
+64
+100/1 -10/1
+100/1 500/1
+500/1 498/1
+110/1 495/1
+110/1 450/1
+500/1 448/1
+110/1 445/1
+110/1 400/1
+500/1 398/1
+110/1 395/1
+110/1 350/1
+500/1 348/1
+110/1 345/1
+110/1 300/1
+500/1 298/1
+110/1 295/1
+110/1 250/1
+500/1 248/1
+110/1 245/1
+110/1 200/1
+500/1 198/1
+110/1 195/1
+110/1 150/1
+500/1 148/1
+110/1 145/1
+110/1 100/1
+500/1 98/1
+110/1 95/1
+110/1 50/1
+500/1 48/1
+110/1 45/1
+110/1 0/1
+600/1 0/1
+602/1 500/1
+605/1 0/1
+610/1 0/1
+612/1 500/1
+615/1 0/1
+620/1 0/1
+622/1 500/1
+625/1 0/1
+630/1 0/1
+632/1 500/1
+635/1 0/1
+640/1 0/1
+642/1 500/1
+645/1 0/1
+650/1 0/1
+652/1 500/1
+655/1 0/1
+660/1 0/1
+662/1 500/1
+665/1 0/1
+670/1 0/1
+672/1 500/1
+675/1 0/1
+680/1 0/1
+682/1 500/1
+685/1 0/1
+690/1 0/1
+692/1 500/1
+695/1 0/1
+700/1 0/1
+700/1 -10/1
+12
+0/1 0/1
+10/1 2/1
+0/1 5/1
+10/1 7/1
+0/1 10/1
+10/1 12/1
+0/1 15/1
+10/1 17/1
+0/1 20/1
+10/1 22/1
+0/1 25/1
+420/1 12/1
diff --git a/Minkowski_sum_2/benchmark/data/random.dat b/Minkowski_sum_2/benchmark/data/random.dat
new file mode 100644
index 00000000000..4b5ddd0cc2e
--- /dev/null
+++ b/Minkowski_sum_2/benchmark/data/random.dat
@@ -0,0 +1,62 @@
+40
+579/1 768/1
+307/1 750/1
+700/1 726/1
+420/1 604/1
+448/1 640/1
+218/1 753/1
+213/1 657/1
+366/1 615/1
+370/1 450/1
+516/1 410/1
+565/1 554/1
+730/1 547/1
+829/1 669/1
+879/1 542/1
+707/1 287/1
+754/1 502/1
+710/1 521/1
+536/1 362/1
+419/1 299/1
+376/1 326/1
+319/1 399/1
+259/1 536/1
+352/1 446/1
+348/1 504/1
+233/1 608/1
+350/1 113/1
+201/1 520/1
+313/1 108/1
+465/1 71/1
+740/1 2/1
+347/1 290/1
+504/1 227/1
+704/1 131/1
+962/1 42/1
+966/1 418/1
+976/1 481/1
+922/1 609/1
+940/1 435/1
+883/1 389/1
+950/1 790/1
+20
+-67/1 -56/1
+-43/1 15/1
+6/1 -79/1
+82/1 47/1
+9/1 -40/1
+-9/1 -14/1
+24/1 78/1
+-45/1 45/1
+-71/1 -21/1
+-76/1 -1/1
+-72/1 58/1
+18/1 96/1
+84/1 56/1
+92/1 -54/1
+95/1 -89/1
+85/1 -5/1
+58/1 -44/1
+-2/1 -88/1
+-31/1 -74/1
+-78/1 -85/1
diff --git a/Minkowski_sum_2/benchmark/data/random2.dat b/Minkowski_sum_2/benchmark/data/random2.dat
new file mode 100644
index 00000000000..0c4de884e82
--- /dev/null
+++ b/Minkowski_sum_2/benchmark/data/random2.dat
@@ -0,0 +1,148 @@
+64
+100/1 -10/1
+100/1 500/1
+500/1 498/1
+110/1 495/1
+110/1 450/1
+500/1 448/1
+110/1 445/1
+110/1 400/1
+500/1 398/1
+110/1 395/1
+110/1 350/1
+500/1 348/1
+110/1 345/1
+110/1 300/1
+500/1 298/1
+110/1 295/1
+110/1 250/1
+500/1 248/1
+110/1 245/1
+110/1 200/1
+500/1 198/1
+110/1 195/1
+110/1 150/1
+500/1 148/1
+110/1 145/1
+110/1 100/1
+500/1 98/1
+110/1 95/1
+110/1 50/1
+500/1 48/1
+110/1 45/1
+110/1 0/1
+600/1 0/1
+602/1 500/1
+605/1 0/1
+610/1 0/1
+612/1 500/1
+615/1 0/1
+620/1 0/1
+622/1 500/1
+625/1 0/1
+630/1 0/1
+632/1 500/1
+635/1 0/1
+640/1 0/1
+642/1 500/1
+645/1 0/1
+650/1 0/1
+652/1 500/1
+655/1 0/1
+660/1 0/1
+662/1 500/1
+665/1 0/1
+670/1 0/1
+672/1 500/1
+675/1 0/1
+680/1 0/1
+682/1 500/1
+685/1 0/1
+690/1 0/1
+692/1 500/1
+695/1 0/1
+700/1 0/1
+700/1 -10/1
+82
+1150840/1 3269680/1
+2009089/1 622385/1
+3563659/1 -1685869/1
+5694160/1 -3476329/1
+8235589/1 -4610310/1
+10991099/1 -5000000/1
+13747300/1 -4615210/1
+16290799/1 -3485749/1
+18424400/1 -1699079/1
+19983099/1 606407/1
+21100000/1 1000000/1
+22000000/1 -1000000/1
+23100000/1 1000000/1
+24000000/1 -1000000/1
+25100000/1 1000000/1
+26000000/1 -1000000/1
+27100000/1 1000000/1
+28000000/1 -1000000/1
+29100000/1 1000000/1
+30000000/1 -1000000/1
+31100000/1 1000000/1
+32000000/1 -1000000/1
+33100000/1 1000000/1
+34000000/1 -1000000/1
+35100000/1 1000000/1
+36000000/1 -1000000/1
+37100000/1 1000000/1
+38000000/1 -1000000/1
+39100000/1 1000000/1
+40000000/1 -1000000/1
+42014300/1 4388269/1
+43571599/1 6694679/1
+45704200/1 8482609/1
+48246999/1 9613579/1
+51003000/1 10000000/1
+53758699/1 9611950/1
+56300799/1 8479470/1
+58432399/1 6690280/1
+59988299/1 4382939/1
+60848100/1 1736160/1
+61150799/1 3269680/1
+62009099/1 622385/1
+63563699/1 -1685869/1
+65694200/1 -3476329/1
+68235600/1 -4610310/1
+70991099/1 -5000000/1
+73747299/1 -4615210/1
+76290799/1 -3485749/1
+78424399/1 -1699079/1
+79983100/1 606407/1
+81100000/1 1000000/1
+82000000/1 -1000000/1
+83100000/1 1000000/1
+84000000/1 -1000000/1
+85100000/1 1000000/1
+86000000/1 -1000000/1
+87100000/1 1000000/1
+88000000/1 -1000000/1
+89100000/1 1000000/1
+90000000/1 -1000000/1
+91100000/1 1000000/1
+92000000/1 -1000000/1
+93100000/1 1000000/1
+94000000/1 -1000000/1
+95100000/1 1000000/1
+96000000/1 -1000000/1
+97100000/1 1000000/1
+98000000/1 -1000000/1
+99100000/1 1000000/1
+100000000/1 -1000000/1
+102013999/1 4388269/1
+103572000/1 6694679/1
+105703999/1 8482609/1
+108247000/1 9613579/1
+111002999/1 10000000/1
+113758999/1 9611950/1
+116301000/1 8479470/1
+118432000/1 6690280/1
+119987999/1 4382939/1
+120847999/1 1736160/1
+121100000/1 -30000000/1
+0/1 -30000000/1
diff --git a/Minkowski_sum_2/benchmark/data/star.dat b/Minkowski_sum_2/benchmark/data/star.dat
new file mode 100644
index 00000000000..8ef429efb99
--- /dev/null
+++ b/Minkowski_sum_2/benchmark/data/star.dat
@@ -0,0 +1,82 @@
+40
+90000000/1 0/1
+99384600/1 7820260/1
+97553700/1 15447999/1
+85641899/1 18156499/1
+90454300/1 29384500/1
+85360599/1 35350099/1
+73517200/1 32356499/1
+72708799/1 44545600/1
+65462099/1 47549200/1
+56267899/1 39505900/1
+50014800/1 50000000/1
+42194400/1 49387000/1
+37652800/1 38046699/1
+27317599/1 44559100/1
+20627500/1 40462999/1
+21728299/1 28296800/1
+9563089/1 29408400/1
+5461110/1 22721999/1
+11964300/1 12381000/1
+619995/1 7849530/1
+8/1 29632/1
+10488599/1 -6232789/1
+2437109/1 -15419800/1
+5434210/1 -22669200/1
+17622599/1 -23488399/1
+14618500/1 -35329099/1
+20579599/1 -40428199/1
+31811900/1 -35625700/1
+34509699/1 -47539999/1
+42135800/1 -49377699/1
+49964400/1 -40000000/1
+57776400/1 -49391599/1
+65405799/1 -47567500/1
+68124800/1 -35657999/1
+79348500/1 -40480399/1
+85318700/1 -35392000/1
+82335599/1 -23545900/1
+94525400/1 -22748400/1
+97535400/1 -15504400/1
+89500300/1 -6303029/1
+40
+40000000/1 50000000/1
+49384600/1 57820299/1
+47553699/1 65448000/1
+35641899/1 68156500/1
+40454300/1 79384500/1
+35360599/1 85350099/1
+23517199/1 82356500/1
+22708799/1 94545600/1
+15462100/1 97549199/1
+6267909/1 89505899/1
+14816/1 100000000/1
+-7805629/1 99387000/1
+-12347199/1 88046699/1
+-22682400/1 94559100/1
+-29372500/1 90462999/1
+-28271699/1 78296799/1
+-40436900/1 79408399/1
+-44538900/1 72722000/1
+-38035700/1 62380999/1
+-49380000/1 57849500/1
+-50000000/1 50029599/1
+-39511399/1 43767200/1
+-47562900/1 34580200/1
+-44565800/1 27330799/1
+-32377400/1 26511599/1
+-35381499/1 14670900/1
+-29420400/1 9571810/1
+-18188100/1 14374299/1
+-15490299/1 2460010/1
+-7864159/1 622323/1
+-35559/1 10000000/1
+7776349/1 608419/1
+15405799/1 2432539/1
+18124799/1 14341999/1
+29348500/1 9519559/1
+35318700/1 14608000/1
+32335599/1 26454099/1
+44525400/1 27251600/1
+47535399/1 34495600/1
+39500299/1 43697000/1
diff --git a/Minkowski_sum_2/benchmark/sum_by_decomposition.cpp b/Minkowski_sum_2/benchmark/sum_by_decomposition.cpp
new file mode 100644
index 00000000000..feda0bb46ac
--- /dev/null
+++ b/Minkowski_sum_2/benchmark/sum_by_decomposition.cpp
@@ -0,0 +1,70 @@
+//! \file examples/Minkowski_sum_2/sum_by_decomposition.cpp
+// Computing the Minkowski sum of two non-convex polygons read from a file
+// using the small-side angle-bisector decomposition strategy.
+
+#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
+#include <CGAL/minkowski_sum_2.h>
+#include <CGAL/Small_side_angle_bisector_decomposition_2.h>
+#include <iostream>
+#include <fstream>
+
+#include <time.h>
+
+#if !defined(CGAL_MINKOWSKI_SUM_2_SERIAL) && defined(_OPENMP)   
+#include<omp.h>
+#endif
+
+#include "print_utils.h"
+
+struct Kernel : public CGAL::Exact_predicates_exact_constructions_kernel {};
+
+typedef Kernel::Point_2                               Point_2;
+typedef CGAL::Polygon_2<Kernel>                       Polygon_2;
+typedef CGAL::Polygon_with_holes_2<Kernel>            Polygon_with_holes_2;
+
+int main ()
+{
+  // Open the input file.
+  std::ifstream    in_file ("random2.dat");
+
+  if (! in_file.is_open())
+  {
+    std::cerr << "Failed to open the input file." << std::endl;
+    return (1);
+  }
+
+  // Read the two polygons from the file and compute their Minkowski sum.
+  Polygon_2   P, Q;
+
+  in_file >> P >> Q;
+  in_file.close();
+
+  // Compute the Minkowski sum using the decomposition approach.
+  CGAL::Small_side_angle_bisector_decomposition_2<Kernel>  ssab_decomp;
+
+  time_t                         s,e;
+  s = time(NULL);
+
+  #if !defined(CGAL_MINKOWSKI_SUM_2_SERIAL) && defined(_OPENMP)   
+  double start,end;
+  start = omp_get_wtime(); 
+  #endif  
+
+  Polygon_with_holes_2  sum = minkowski_sum_2 (P, Q, ssab_decomp);
+
+  #if !defined(CGAL_MINKOWSKI_SUM_2_SERIAL) && defined(_OPENMP)   
+  end = omp_get_wtime();
+  #endif
+
+  e = time(NULL);
+
+  #if !defined(CGAL_MINKOWSKI_SUM_2_SERIAL) && defined(_OPENMP)   
+  std::cout << "Done! time using omp_get_wtime() (" << end-start << " seconds)." << std::endl;
+  #endif 
+  
+  std::cout << "Done! time using time() (" << difftime(e,s) << " seconds)." << std::endl;
+
+  std::cout << "P (+) Q = "; print_polygon_with_holes (sum);
+
+  return (0);
+}