corrections et ajout des figures

diff --git a/Simulations/BIG/full_mpi_4GPU.o140664 b/Simulations/BIG/full_mpi_4GPU.o140664
new file mode 100644 (file)
index 0000000..5a8a896
--- /dev/null
+++ b/Simulations/BIG/full_mpi_4GPU.o140664
@@ -0,0 +1,293 @@
+REMAINING: 4
+Taking GPU #0
+Taking GPU #1
+Taking GPU #2
+Taking GPU #3
+proc 2
+proc 3
+proc 0
+proc 1
+ici
+ici
+ici
+ici
+ici2
+ici2
+ici2
+ici2
+ici3
+zone limite de 'log-exp' 1.00018
+ici3
+zone limite de 'log-exp' 1.00018
+ici3
+zone limite de 'log-exp' 1.00018
+ici3
+ici4
+ici3
+ici4
+ici3
+ici4
+ici3
+zone limite de 'log-exp' 1.00018
+ici3
+ici4
+dimgrid 7813 dimblock 256  degrePoly 2000000
+proc 1, start 500032 size 500032
+dimgrid 7813 dimblock 256  degrePoly 2000000
+proc 3, start 1500096 size 500032
+dimgrid 7813 dimblock 256  degrePoly 2000000
+proc 2, start 1000064 size 500032
+dimgrid 7813 dimblock 256  degrePoly 2000000
+proc 0, start 0 size 500032
+proc 0 start 0 size 500032
+proc 2 start 1000064 size 500032
+proc 1 start 500032 size 500032
+proc 3 start 1500096 size 500032
+iter : 1  Arret : 1.44834E-06 s/iter 205.940825 
+iter : 2  Arret : 1.34957E-06 s/iter 206.359114 
+iter : 3  Arret : 1.28543E-06 s/iter 206.338404 
+iter : 4  Arret : 1.32123E-06 s/iter 205.569801 
+iter : 5  Arret : 1.28108E-06 s/iter 206.362388 
+iter : 6  Arret : 1.52528E-06 s/iter 205.947635 
+iter : 7  Arret : 1.44796E-06 s/iter 205.570036 
+iter : 8  Arret : 1.4197E-06 s/iter 206.274854 
+iter : 9  Arret : 1.36981E-06 s/iter 205.523999 
+iter : 10  Arret : 1.78699E-06 s/iter 205.517166 
+iter : 11  Arret : 0.000120828 s/iter 206.080759 
+iter : 12  Arret : 0.000388623 s/iter 205.612439 
+iter : 13  Arret : 0.00226391 s/iter 206.088028 
+iter : 14  Arret : 0.00536308 s/iter 206.777804 
+iter : 15  Arret : 0.00505109 s/iter 207.995774 
+iter : 16  Arret : 1.09453 s/iter 208.693534 
+iter : 17  Arret : 0.00718604 s/iter 212.802838 
+iter : 18  Arret : 0.0462084 s/iter 220.362911 
+iter : 19  Arret : 0.067973 s/iter 213.850652 
+iter : 20  Arret : 0.0352674 s/iter 211.078385 
+iter : 21  Arret : 0.0256645 s/iter 210.310228 
+iter : 22  Arret : 0.0042868 s/iter 207.901863 
+iter : 23  Arret : 0.00261662 s/iter 208.696215 
+iter : 24  Arret : 0.000777403 s/iter 207.126076 
+iter : 25  Arret : 0.000262332 s/iter 207.347948 
+iter : 26  Arret : 0.000480261 s/iter 207.491371 
+iter : 27  Arret : 0.000843968 s/iter 207.287417 
+iter : 28  Arret : 0.00107575 s/iter 206.757688 
+iter : 29  Arret : 0.00102761 s/iter 207.166812 
+iter : 30  Arret : 2.61225E-05 s/iter 207.625209 
+iter : 31  Arret : 5.54935E-10 s/iter 207.334182 
+iter : 32  Arret : 3.51083E-16 s/iter 207.140239 
+temps : 6652.78 seconde(s)
+proc 0
+proc 1
+proc 2
+proc 3
+ici
+ici
+ici
+ici
+ici2
+ici2
+ici2
+ici2
+ici3
+zone limite de 'log-exp' 1.00012
+ici3
+zone limite de 'log-exp' 1.00012
+ici3
+zone limite de 'log-exp' 1.00012
+ici3
+ici3
+ici4
+ici4
+ici3
+ici4
+ici3
+zone limite de 'log-exp' 1.00012
+ici3
+ici4
+dimgrid 11719 dimblock 256  degrePoly 3000000
+proc 1, start 750016 size 750016
+dimgrid 11719 dimblock 256  degrePoly 3000000
+proc 2, start 1500032 size 750016
+dimgrid 11719 dimblock 256  degrePoly 3000000
+proc 3, start 2250048 size 750016
+proc 2 start 1500032 size 750016
+dimgrid 11719 dimblock 256  degrePoly 3000000
+proc 0, start 0 size 750016
+proc 0 start 0 size 750016
+proc 1 start 750016 size 750016
+proc 3 start 2250048 size 750016
+iter : 1  Arret : 9.53204E-07 s/iter 461.459712 
+iter : 2  Arret : 9.37007E-07 s/iter 461.131045 
+iter : 3  Arret : 9.0577E-07 s/iter 460.922963 
+iter : 4  Arret : 1.01222E-06 s/iter 460.829574 
+iter : 5  Arret : 9.44944E-07 s/iter 460.829019 
+iter : 6  Arret : 9.58987E-07 s/iter 461.290910 
+iter : 7  Arret : 9.72984E-07 s/iter 461.358879 
+iter : 8  Arret : 9.83283E-07 s/iter 461.123318 
+iter : 9  Arret : 1.04215E-06 s/iter 460.693998 
+iter : 10  Arret : 1.44009E-06 s/iter 460.466568 
+iter : 11  Arret : 8.73152E-05 s/iter 460.624768 
+iter : 12  Arret : 0.000206674 s/iter 460.586929 
+iter : 13  Arret : 0.000928336 s/iter 462.302008 
+iter : 14  Arret : 0.967664 s/iter 464.620100 
+iter : 15  Arret : 2.70874 s/iter 469.114186 
+iter : 16  Arret : 0.0755852 s/iter 475.379134 
+iter : 17  Arret : 0.203816 s/iter 481.768376 
+iter : 18  Arret : 0.262828 s/iter 485.444654 
+iter : 19  Arret : 0.235532 s/iter 477.928214 
+iter : 20  Arret : 0.190572 s/iter 472.097443 
+iter : 21  Arret : 0.0446409 s/iter 469.191689 
+iter : 22  Arret : 0.0217248 s/iter 469.351025 
+iter : 23  Arret : 0.026835 s/iter 466.587422 
+iter : 24  Arret : 0.0102186 s/iter 463.265856 
+iter : 25  Arret : 0.0072299 s/iter 461.804314 
+iter : 26  Arret : 0.00195646 s/iter 460.242651 
+iter : 27  Arret : 0.00073504 s/iter 460.262518 
+iter : 28  Arret : 0.000350821 s/iter 461.440941 
+iter : 29  Arret : 3.63887E-05 s/iter 460.152519 
+iter : 30  Arret : 3.54794E-08 s/iter 460.122122 
+iter : 31  Arret : 2.23894E-14 s/iter 460.715122 
+temps : 14415.7 seconde(s)
+proc 2
+proc 3
+proc 0
+proc 1
+ici
+ici
+ici
+ici
+ici2
+ici2
+ici2
+ici2
+ici3
+zone limite de 'log-exp' 1.00009
+ici3
+zone limite de 'log-exp' 1.00009
+ici3
+ici4
+ici3
+ici4
+ici3
+zone limite de 'log-exp' 1.00009
+ici3
+ici4
+dimgrid 15625 dimblock 256  degrePoly 4000000
+proc 3, start 3000000 size 1000000
+dimgrid 15625 dimblock 256  degrePoly 4000000
+proc 1, start 1000000 size 1000000
+dimgrid 15625 dimblock 256  degrePoly 4000000
+proc 2, start 2000000 size 1000000
+ici3
+zone limite de 'log-exp' 1.00009
+ici3
+ici4
+dimgrid 15625 dimblock 256  degrePoly 4000000
+proc 0, start 0 size 1000000
+proc 2 start 2000000 size 1000000
+proc 0 start 0 size 1000000
+proc 3 start 3000000 size 1000000
+proc 1 start 1000000 size 1000000
+iter : 1  Arret : 6.88912E-07 s/iter 819.306625 
+iter : 2  Arret : 7.14016E-07 s/iter 818.197087 
+iter : 3  Arret : 7.3014E-07 s/iter 818.470548 
+iter : 4  Arret : 7.21743E-07 s/iter 818.730362 
+iter : 5  Arret : 7.35418E-07 s/iter 818.173934 
+iter : 6  Arret : 7.52455E-07 s/iter 817.866927 
+iter : 7  Arret : 7.34859E-07 s/iter 818.095046 
+iter : 8  Arret : 7.31974E-07 s/iter 818.164256 
+iter : 9  Arret : 7.48569E-07 s/iter 819.044387 
+iter : 10  Arret : 7.74048E-07 s/iter 819.333033 
+iter : 11  Arret : 3.48688E-05 s/iter 819.133268 
+iter : 12  Arret : 0.000807717 s/iter 818.591881 
+iter : 13  Arret : 0.000926508 s/iter 818.950799 
+iter : 14  Arret : 0.00303398 s/iter 819.147222 
+iter : 15  Arret : 0.0183154 s/iter 830.118271 
+iter : 16  Arret : 0.0285894 s/iter 855.852233 
+iter : 17  Arret : 0.0236243 s/iter 851.970029 
+iter : 18  Arret : 0.731842 s/iter 853.621906 
+iter : 19  Arret : 0.542969 s/iter 851.697002 
+iter : 20  Arret : 0.327675 s/iter 853.423224 
+iter : 21  Arret : 0.0744866 s/iter 837.707807 
+iter : 22  Arret : 0.038791 s/iter 853.159762 
+iter : 23  Arret : 0.0426196 s/iter 822.647946 
+iter : 24  Arret : 0.055558 s/iter 823.298812 
+iter : 25  Arret : 0.0472359 s/iter 818.676729 
+iter : 26  Arret : 0.00981971 s/iter 818.659135 
+iter : 27  Arret : 0.00185408 s/iter 819.292362 
+iter : 28  Arret : 0.000122169 s/iter 818.157766 
+iter : 29  Arret : 2.6396E-07 s/iter 817.164218 
+iter : 30  Arret : 2.38327E-11 s/iter 817.419948 
+iter : 31  Arret : 1.57009E-16 s/iter 817.311017 
+temps : 25693.2 seconde(s)
+proc 2
+proc 3
+proc 0
+proc 1
+ici
+ici
+ici
+ici
+ici2
+ici2
+ici2
+ici2
+ici3
+zone limite de 'log-exp' 1.00007
+ici3
+zone limite de 'log-exp' 1.00007
+ici3
+zone limite de 'log-exp' 1.00007
+ici3
+ici4
+ici3
+ici4
+ici3
+ici4
+ici3
+zone limite de 'log-exp' 1.00007
+ici3
+ici4
+dimgrid 19532 dimblock 256  degrePoly 5000000
+proc 2, start 2500096 size 1250048
+dimgrid 19532 dimblock 256  degrePoly 5000000
+proc 1, start 1250048 size 1250048
+dimgrid 19532 dimblock 256  degrePoly 5000000
+proc 3, start 3750144 size 1250048
+proc 3 start 3750144 size 1250048
+proc 1 start 1250048 size 1250048
+proc 2 start 2500096 size 1250048
+dimgrid 19532 dimblock 256  degrePoly 5000000
+proc 0, start 0 size 1250048
+proc 0 start 0 size 1250048
+iter : 1  Arret : 5.52441E-07 s/iter 1278.740665 
+iter : 2  Arret : 5.75419E-07 s/iter 1277.699605 
+iter : 3  Arret : 5.51509E-07 s/iter 1276.810889 
+iter : 4  Arret : 5.69267E-07 s/iter 1279.877073 
+iter : 5  Arret : 6.08585E-07 s/iter 1279.500027 
+iter : 6  Arret : 5.83038E-07 s/iter 1278.799718 
+iter : 7  Arret : 5.79436E-07 s/iter 1277.284006 
+iter : 8  Arret : 5.90821E-07 s/iter 1276.630395 
+iter : 9  Arret : 6.21271E-07 s/iter 1277.007910 
+iter : 10  Arret : 7.74213E-07 s/iter 1277.019126 
+iter : 11  Arret : 4.88001E-05 s/iter 1276.118288 
+iter : 12  Arret : 0.000260225 s/iter 1276.399074 
+iter : 13  Arret : 0.000428267 s/iter 1281.985363 
+iter : 14  Arret : 0.00230591 s/iter 1325.812692 
+iter : 15  Arret : 0.00294045 s/iter 1297.918923 
+iter : 16  Arret : 0.0104684 s/iter 1346.312760 
+iter : 17  Arret : 0.0168898 s/iter 1350.545849 
+iter : 18  Arret : 0.0175923 s/iter 1339.305912 
+iter : 19  Arret : 0.0143619 s/iter 1335.131532 
+iter : 20  Arret : 0.0170721 s/iter 1328.137450 
+iter : 21  Arret : 0.0384741 s/iter 1315.141047 
+iter : 22  Arret : 0.0257741 s/iter 1301.408144 
+iter : 23  Arret : 0.0223754 s/iter 1290.526097 
+iter : 24  Arret : 0.0384305 s/iter 1284.924772 
+iter : 25  Arret : 0.013928 s/iter 1275.931436 
+iter : 26  Arret : 0.00315086 s/iter 1275.660735 
+iter : 27  Arret : 0.000282398 s/iter 1275.643767 
+iter : 28  Arret : 4.02652E-07 s/iter 1275.656268 
+iter : 29  Arret : 2.8924E-11 s/iter 1275.459590 
+iter : 30  Arret : 1.57009E-16 s/iter 1276.129079 
+temps : 38787.6 seconde(s)

diff --git a/Simulations/BIG/full_openmp_4GPU.o140684 b/Simulations/BIG/full_openmp_4GPU.o140684
new file mode 100644 (file)
index 0000000..5de3b1f
--- /dev/null
+++ b/Simulations/BIG/full_openmp_4GPU.o140684
@@ -0,0 +1,277 @@
+REMAINING: 4
+Taking GPU #0
+Taking GPU #1
+Taking GPU #2
+Taking GPU #3
+zone limite de 'log-exp' 1.0003
+CPU thread 3 (of 4) uses CUDA device 3
+CPU thread 2 (of 4) uses CUDA device 2
+CPU thread 0 (of 4) uses CUDA device 0
+CPU thread 1 (of 4) uses CUDA device 1
+gpu 0 dimgrid 4688 dimblock 256  degrePoly 1200000
+gpu 2 dimgrid 4688 dimblock 256  degrePoly 1200000
+gpu 2 dimgrid2 1172 start 600064  size 300032
+gpu 0 dimgrid2 1172 start 0  size 300032
+gpu 1 dimgrid 4688 dimblock 256  degrePoly 1200000
+gpu 1 dimgrid2 1172 start 300032  size 300032
+gpu 3 dimgrid 4688 dimblock 256  degrePoly 1200000
+gpu 3 dimgrid2 1172 start 900096  size 300032
+gpu 0 iter : 1  Arret : 2.44482E-06 s/iter 74.639875 
+gpu 0 iter : 2  Arret : 2.30873E-06 s/iter 74.564382 
+gpu 0 iter : 3  Arret : 2.11145E-06 s/iter 74.751331 
+gpu 0 iter : 4  Arret : 2.21313E-06 s/iter 74.600699 
+gpu 0 iter : 5  Arret : 2.19564E-06 s/iter 74.570504 
+gpu 0 iter : 6  Arret : 2.11756E-06 s/iter 74.733217 
+gpu 0 iter : 7  Arret : 2.14117E-06 s/iter 74.506427 
+gpu 0 iter : 8  Arret : 2.20119E-06 s/iter 74.544657 
+gpu 0 iter : 9  Arret : 2.37346E-06 s/iter 74.562161 
+gpu 0 iter : 10  Arret : 2.64946E-06 s/iter 74.853449 
+gpu 0 iter : 11  Arret : 0.000186918 s/iter 74.525156 
+gpu 0 iter : 12  Arret : 0.00138474 s/iter 74.516126 
+gpu 0 iter : 13  Arret : 0.00258201 s/iter 74.587762 
+gpu 0 iter : 14  Arret : 0.0010761 s/iter 84.238307 
+gpu 0 iter : 15  Arret : 0.00188521 s/iter 86.686536 
+gpu 0 iter : 16  Arret : 0.00499919 s/iter 75.862454 
+gpu 0 iter : 17  Arret : 0.00360609 s/iter 76.568609 
+gpu 0 iter : 18  Arret : 1.06553 s/iter 94.954529 
+gpu 0 iter : 19  Arret : 0.0393766 s/iter 92.481432 
+gpu 0 iter : 20  Arret : 0.0223315 s/iter 94.476898 
+gpu 0 iter : 21  Arret : 0.0410657 s/iter 94.178787 
+gpu 0 iter : 22  Arret : 0.0381889 s/iter 85.335835 
+gpu 0 iter : 23  Arret : 0.0874342 s/iter 85.783340 
+gpu 0 iter : 24  Arret : 0.203536 s/iter 89.450930 
+gpu 0 iter : 25  Arret : 0.120518 s/iter 86.419200 
+gpu 0 iter : 26  Arret : 0.0247685 s/iter 74.681052 
+gpu 0 iter : 27  Arret : 0.0082978 s/iter 74.762347 
+gpu 0 iter : 28  Arret : 0.0042467 s/iter 74.824984 
+gpu 0 iter : 29  Arret : 0.000439949 s/iter 74.307768 
+gpu 0 iter : 30  Arret : 0.000137259 s/iter 74.423240 
+gpu 0 iter : 31  Arret : 7.309E-05 s/iter 74.324788 
+gpu 0 iter : 32  Arret : 8.35608E-06 s/iter 74.355819 
+gpu 0 iter : 33  Arret : 1.88149E-08 s/iter 74.258167 
+gpu 0 iter : 34  Arret : 1.77927E-14 s/iter 74.313275 
+temps : 2689.68 seconde(s)
+zone limite de 'log-exp' 1.00025
+CPU thread 2 (of 4) uses CUDA device 2
+CPU thread 0 (of 4) uses CUDA device 0
+CPU thread 3 (of 4) uses CUDA device 3
+CPU thread 1 (of 4) uses CUDA device 1
+gpu 3 dimgrid 5469 dimblock 256  degrePoly 1400000
+gpu 3 dimgrid2 1368 start 1050048  size 350016
+gpu 0 dimgrid 5469 dimblock 256  degrePoly 1400000
+gpu 0 dimgrid2 1368 start 0  size 350016
+gpu 1 dimgrid 5469 dimblock 256  degrePoly 1400000
+gpu 1 dimgrid2 1368 start 350016  size 350016
+gpu 2 dimgrid 5469 dimblock 256  degrePoly 1400000
+gpu 2 dimgrid2 1368 start 700032  size 350016
+gpu 0 iter : 1  Arret : 2.10282E-06 s/iter 101.078414 
+gpu 0 iter : 2  Arret : 2.0946E-06 s/iter 101.041217 
+gpu 0 iter : 3  Arret : 2.13477E-06 s/iter 100.998517 
+gpu 0 iter : 4  Arret : 2.10394E-06 s/iter 100.989310 
+gpu 0 iter : 5  Arret : 2.00366E-06 s/iter 101.050293 
+gpu 0 iter : 6  Arret : 2.09791E-06 s/iter 100.993768 
+gpu 0 iter : 7  Arret : 2.04507E-06 s/iter 101.097449 
+gpu 0 iter : 8  Arret : 1.84181E-06 s/iter 100.925116 
+gpu 0 iter : 9  Arret : 1.99862E-06 s/iter 101.253105 
+gpu 0 iter : 10  Arret : 2.47959E-06 s/iter 100.921977 
+gpu 0 iter : 11  Arret : 0.000783744 s/iter 100.977066 
+gpu 0 iter : 12  Arret : 0.00804452 s/iter 101.068138 
+gpu 0 iter : 13  Arret : 0.00729316 s/iter 101.335318 
+gpu 0 iter : 14  Arret : 0.00213 s/iter 102.383645 
+gpu 0 iter : 15  Arret : 0.159477 s/iter 107.708354 
+gpu 0 iter : 16  Arret : 0.847468 s/iter 109.172629 
+gpu 0 iter : 17  Arret : 0.811732 s/iter 107.915741 
+gpu 0 iter : 18  Arret : 3.93575 s/iter 111.916735 
+gpu 0 iter : 19  Arret : 0.121284 s/iter 116.713178 
+gpu 0 iter : 20  Arret : 0.0192941 s/iter 120.572398 
+gpu 0 iter : 21  Arret : 0.0182609 s/iter 121.039853 
+gpu 0 iter : 22  Arret : 0.0172062 s/iter 122.036788 
+gpu 0 iter : 23  Arret : 0.0107296 s/iter 120.368267 
+gpu 0 iter : 24  Arret : 0.0238956 s/iter 119.713485 
+gpu 0 iter : 25  Arret : 0.0585596 s/iter 113.854843 
+gpu 0 iter : 26  Arret : 0.0166418 s/iter 100.980212 
+gpu 0 iter : 27  Arret : 0.000530953 s/iter 101.008612 
+gpu 0 iter : 28  Arret : 0.000564291 s/iter 100.812084 
+gpu 0 iter : 29  Arret : 8.45556E-07 s/iter 100.855989 
+gpu 0 iter : 30  Arret : 1.25696E-12 s/iter 100.729882 
+gpu 0 iter : 31  Arret : 1.57009E-16 s/iter 100.862921 
+temps : 3295.39 seconde(s)
+zone limite de 'log-exp' 1.00018
+CPU thread 1 (of 4) uses CUDA device 1
+CPU thread 2 (of 4) uses CUDA device 2
+CPU thread 0 (of 4) uses CUDA device 0
+CPU thread 3 (of 4) uses CUDA device 3
+gpu 0 dimgrid 7813 dimblock 256  degrePoly 2000000
+gpu 0 dimgrid2 1954 start 0  size 500032
+gpu 1 dimgrid 7813 dimblock 256  degrePoly 2000000
+gpu 1 dimgrid2 1954 start 500032  size 500032
+gpu 2 dimgrid 7813 dimblock 256  degrePoly 2000000
+gpu 2 dimgrid2 1954 start 1000064  size 500032
+gpu 3 dimgrid 7813 dimblock 256  degrePoly 2000000
+gpu 3 dimgrid2 1954 start 1500096  size 500032
+gpu 0 iter : 1  Arret : 1.41783E-06 s/iter 205.699797 
+gpu 0 iter : 2  Arret : 1.3616E-06 s/iter 205.388330 
+gpu 0 iter : 3  Arret : 1.32097E-06 s/iter 205.527548 
+gpu 0 iter : 4  Arret : 1.33335E-06 s/iter 206.148644 
+gpu 0 iter : 5  Arret : 1.31806E-06 s/iter 206.270502 
+gpu 0 iter : 6  Arret : 1.52658E-06 s/iter 206.476330 
+gpu 0 iter : 7  Arret : 1.53874E-06 s/iter 206.070477 
+gpu 0 iter : 8  Arret : 1.36502E-06 s/iter 205.982843 
+gpu 0 iter : 9  Arret : 1.36688E-06 s/iter 205.493588 
+gpu 0 iter : 10  Arret : 1.7716E-06 s/iter 206.082545 
+gpu 0 iter : 11  Arret : 0.000713789 s/iter 206.598775 
+gpu 0 iter : 12  Arret : 0.00129587 s/iter 206.013463 
+gpu 0 iter : 13  Arret : 0.00356853 s/iter 206.828948 
+gpu 0 iter : 14  Arret : 0.00567563 s/iter 214.007985 
+gpu 0 iter : 15  Arret : 0.00554453 s/iter 232.252817 
+gpu 0 iter : 16  Arret : 1.04921 s/iter 228.088790 
+gpu 0 iter : 17  Arret : 0.121352 s/iter 209.740568 
+gpu 0 iter : 18  Arret : 0.177027 s/iter 220.589742 
+gpu 0 iter : 19  Arret : 0.142704 s/iter 217.273146 
+gpu 0 iter : 20  Arret : 0.030086 s/iter 220.609907 
+gpu 0 iter : 21  Arret : 0.0270766 s/iter 209.003185 
+gpu 0 iter : 22  Arret : 0.0185505 s/iter 218.854174 
+gpu 0 iter : 23  Arret : 0.00830722 s/iter 207.800890 
+gpu 0 iter : 24  Arret : 0.0125614 s/iter 207.676175 
+gpu 0 iter : 25  Arret : 0.0017746 s/iter 207.822734 
+gpu 0 iter : 26  Arret : 3.36244E-05 s/iter 207.869291 
+gpu 0 iter : 27  Arret : 2.30077E-06 s/iter 207.532544 
+gpu 0 iter : 28  Arret : 4.08095E-08 s/iter 207.329257 
+gpu 0 iter : 29  Arret : 9.32731E-13 s/iter 206.858689 
+temps : 6105.16 seconde(s)
+zone limite de 'log-exp' 1.00012
+CPU thread 2 (of 4) uses CUDA device 2
+CPU thread 3 (of 4) uses CUDA device 3
+CPU thread 0 (of 4) uses CUDA device 0
+CPU thread 1 (of 4) uses CUDA device 1
+gpu 0 dimgrid 11719 dimblock 256  degrePoly 3000000
+gpu 0 dimgrid2 2930 start 0  size 750016
+gpu 2 dimgrid 11719 dimblock 256  degrePoly 3000000
+gpu 2 dimgrid2 2930 start 1500032  size 750016
+gpu 3 dimgrid 11719 dimblock 256  degrePoly 3000000
+gpu 3 dimgrid2 2930 start 2250048  size 750016
+gpu 1 dimgrid 11719 dimblock 256  degrePoly 3000000
+gpu 1 dimgrid2 2930 start 750016  size 750016
+gpu 0 iter : 1  Arret : 9.65662E-07 s/iter 461.902449 
+gpu 0 iter : 2  Arret : 9.76206E-07 s/iter 461.818288 
+gpu 0 iter : 3  Arret : 9.88763E-07 s/iter 461.410666 
+gpu 0 iter : 4  Arret : 9.97989E-07 s/iter 461.587599 
+gpu 0 iter : 5  Arret : 9.31223E-07 s/iter 461.314767 
+gpu 0 iter : 6  Arret : 9.48351E-07 s/iter 461.753957 
+gpu 0 iter : 7  Arret : 1.00829E-06 s/iter 461.809276 
+gpu 0 iter : 8  Arret : 9.72791E-07 s/iter 461.539355 
+gpu 0 iter : 9  Arret : 9.87121E-07 s/iter 461.458642 
+gpu 0 iter : 10  Arret : 1.19479E-06 s/iter 461.810796 
+gpu 0 iter : 11  Arret : 0.000221282 s/iter 461.821476 
+gpu 0 iter : 12  Arret : 0.000344341 s/iter 460.985545 
+gpu 0 iter : 13  Arret : 0.00110164 s/iter 461.528817 
+gpu 0 iter : 14  Arret : 0.964677 s/iter 466.427092 
+gpu 0 iter : 15  Arret : 3.82939 s/iter 467.570894 
+gpu 0 iter : 16  Arret : 0.381779 s/iter 468.615707 
+gpu 0 iter : 17  Arret : 0.211695 s/iter 480.267149 
+gpu 0 iter : 18  Arret : 0.0742952 s/iter 476.977879 
+gpu 0 iter : 19  Arret : 0.164849 s/iter 473.636002 
+gpu 0 iter : 20  Arret : 0.159823 s/iter 472.866587 
+gpu 0 iter : 21  Arret : 0.0472861 s/iter 474.015677 
+gpu 0 iter : 22  Arret : 0.0323264 s/iter 466.289093 
+gpu 0 iter : 23  Arret : 0.0485177 s/iter 466.379497 
+gpu 0 iter : 24  Arret : 0.0595915 s/iter 463.698664 
+gpu 0 iter : 25  Arret : 0.0164616 s/iter 462.422176 
+gpu 0 iter : 26  Arret : 0.000451002 s/iter 460.400840 
+gpu 0 iter : 27  Arret : 1.45653E-06 s/iter 460.573741 
+gpu 0 iter : 28  Arret : 1.41903E-11 s/iter 462.724001 
+gpu 0 iter : 29  Arret : 1.57009E-16 s/iter 460.548684 
+temps : 13488 seconde(s)
+zone limite de 'log-exp' 1.00009
+CPU thread 3 (of 4) uses CUDA device 3
+CPU thread 1 (of 4) uses CUDA device 1
+CPU thread 2 (of 4) uses CUDA device 2
+CPU thread 0 (of 4) uses CUDA device 0
+gpu 1 dimgrid 15625 dimblock 256  degrePoly 4000000
+gpu 2 dimgrid 15625 dimblock 256  degrePoly 4000000
+gpu 3 dimgrid 15625 dimblock 256  degrePoly 4000000
+gpu 3 dimgrid2 3907 start 3000000  size 1000000
+gpu 1 dimgrid2 3907 start 1000000  size 1000000
+gpu 2 dimgrid2 3907 start 2000000  size 1000000
+gpu 0 dimgrid 15625 dimblock 256  degrePoly 4000000
+gpu 0 dimgrid2 3907 start 0  size 1000000
+gpu 0 iter : 1  Arret : 7.13507E-07 s/iter 817.508617 
+gpu 0 iter : 2  Arret : 7.20094E-07 s/iter 818.908125 
+gpu 0 iter : 3  Arret : 7.28751E-07 s/iter 820.265865 
+gpu 0 iter : 4  Arret : 6.51165E-07 s/iter 818.432643 
+gpu 0 iter : 5  Arret : 7.28105E-07 s/iter 817.730901 
+gpu 0 iter : 6  Arret : 7.38098E-07 s/iter 819.571359 
+gpu 0 iter : 7  Arret : 7.04284E-07 s/iter 818.758532 
+gpu 0 iter : 8  Arret : 7.5334E-07 s/iter 818.100543 
+gpu 0 iter : 9  Arret : 6.79044E-07 s/iter 818.476009 
+gpu 0 iter : 10  Arret : 7.73741E-07 s/iter 819.462739 
+gpu 0 iter : 11  Arret : 2.82143E-05 s/iter 818.518901 
+gpu 0 iter : 12  Arret : 0.000443039 s/iter 818.516432 
+gpu 0 iter : 13  Arret : 0.000886057 s/iter 823.390814 
+gpu 0 iter : 14  Arret : 0.00205987 s/iter 819.345638 
+gpu 0 iter : 15  Arret : 0.00937057 s/iter 825.773513 
+gpu 0 iter : 16  Arret : 0.00932936 s/iter 844.157309 
+gpu 0 iter : 17  Arret : 0.194265 s/iter 854.703102 
+gpu 0 iter : 18  Arret : 0.0698451 s/iter 852.222049 
+gpu 0 iter : 19  Arret : 0.283545 s/iter 867.758665 
+gpu 0 iter : 20  Arret : 1.19617 s/iter 847.010405 
+gpu 0 iter : 21  Arret : 0.0451126 s/iter 840.429949 
+gpu 0 iter : 22  Arret : 0.0159319 s/iter 831.098682 
+gpu 0 iter : 23  Arret : 0.0102042 s/iter 821.563847 
+gpu 0 iter : 24  Arret : 0.00390116 s/iter 818.546315 
+gpu 0 iter : 25  Arret : 0.000294328 s/iter 820.074389 
+gpu 0 iter : 26  Arret : 7.774E-05 s/iter 818.592072 
+gpu 0 iter : 27  Arret : 2.91292E-06 s/iter 818.542294 
+gpu 0 iter : 28  Arret : 3.27025E-06 s/iter 818.997322 
+gpu 0 iter : 29  Arret : 2.38632E-06 s/iter 818.581842 
+gpu 0 iter : 30  Arret : 1.44132E-07 s/iter 819.569590 
+gpu 0 iter : 31  Arret : 1.1039E-10 s/iter 818.574265 
+gpu 0 iter : 32  Arret : 1.57009E-16 s/iter 818.740279 
+temps : 26495 seconde(s)
+zone limite de 'log-exp' 1.00007
+CPU thread 3 (of 4) uses CUDA device 3
+CPU thread 1 (of 4) uses CUDA device 1
+CPU thread 2 (of 4) uses CUDA device 2
+CPU thread 0 (of 4) uses CUDA device 0
+gpu 3 dimgrid 19532 dimblock 256  degrePoly 5000000
+gpu 3 dimgrid2 4883 start 3750144  size 1250048
+gpu 1 dimgrid 19532 dimblock 256  degrePoly 5000000
+gpu 1 dimgrid2 4883 start 1250048  size 1250048
+gpu 2 dimgrid 19532 dimblock 256  degrePoly 5000000
+gpu 2 dimgrid2 4883 start 2500096  size 1250048
+gpu 0 dimgrid 19532 dimblock 256  degrePoly 5000000
+gpu 0 dimgrid2 4883 start 0  size 1250048
+gpu 0 iter : 1  Arret : 5.5526E-07 s/iter 1277.818322 
+gpu 0 iter : 2  Arret : 5.61731E-07 s/iter 1277.992626 
+gpu 0 iter : 3  Arret : 5.64964E-07 s/iter 1277.611125 
+gpu 0 iter : 4  Arret : 5.72211E-07 s/iter 1276.532785 
+gpu 0 iter : 5  Arret : 5.52232E-07 s/iter 1277.275538 
+gpu 0 iter : 6  Arret : 5.84776E-07 s/iter 1277.220058 
+gpu 0 iter : 7  Arret : 5.78912E-07 s/iter 1275.509197 
+gpu 0 iter : 8  Arret : 5.79479E-07 s/iter 1278.916489 
+gpu 0 iter : 9  Arret : 6.18115E-07 s/iter 1274.895894 
+gpu 0 iter : 10  Arret : 7.95575E-07 s/iter 1278.799546 
+gpu 0 iter : 11  Arret : 0.000144509 s/iter 1274.000706 
+gpu 0 iter : 12  Arret : 0.00033866 s/iter 1279.802690 
+gpu 0 iter : 13  Arret : 0.000459288 s/iter 1277.437917 
+gpu 0 iter : 14  Arret : 0.00271507 s/iter 1285.725652 
+gpu 0 iter : 15  Arret : 0.00416423 s/iter 1306.932716 
+gpu 0 iter : 16  Arret : 0.0203828 s/iter 1359.882166 
+gpu 0 iter : 17  Arret : 0.0178872 s/iter 1347.000432 
+gpu 0 iter : 18  Arret : 0.0127105 s/iter 1348.523047 
+gpu 0 iter : 19  Arret : 0.0128704 s/iter 1338.221357 
+gpu 0 iter : 20  Arret : 0.0222235 s/iter 1333.615666 
+gpu 0 iter : 21  Arret : 0.031043 s/iter 1321.029250 
+gpu 0 iter : 22  Arret : 0.0293537 s/iter 1307.821391 
+gpu 0 iter : 23  Arret : 0.0147864 s/iter 1292.696397 
+gpu 0 iter : 24  Arret : 0.00622656 s/iter 1277.914185 
+gpu 0 iter : 25  Arret : 0.00544242 s/iter 1276.236495 
+gpu 0 iter : 26  Arret : 0.00645191 s/iter 1275.391733 
+gpu 0 iter : 27  Arret : 0.00753073 s/iter 1276.452405 
+gpu 0 iter : 28  Arret : 0.000248698 s/iter 1280.456039 
+gpu 0 iter : 29  Arret : 1.37858E-06 s/iter 1279.135441 
+gpu 0 iter : 30  Arret : 4.93212E-07 s/iter 1274.588590 
+gpu 0 iter : 31  Arret : 1.80451E-07 s/iter 1278.396215 
+gpu 0 iter : 32  Arret : 3.28612E-09 s/iter 1274.750792 
+gpu 0 iter : 33  Arret : 1.99852E-14 s/iter 1276.780371 
+temps : 42620.5 seconde(s)

diff --git a/Simulations/big.eps b/Simulations/big.eps
new file mode 100644 (file)
index 0000000..3c479c8
--- /dev/null
+++ b/Simulations/big.eps
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diff --git a/Simulations/big.txt b/Simulations/big.txt
new file mode 100644 (file)
index 0000000..f43d1af
--- /dev/null
+++ b/Simulations/big.txt
@@ -0,0 +1,7 @@
+#degree        FMPI    FOMP    SMPI    SOMP
+100000 27.6039 27.3746
+1000000        2532.79 2489.06
+2000000        6652.78 6105.16
+3000000        14415.7 13488
+4000000        25693.2 26495
+5000000        38787.6 42620.5

diff --git a/big.pdf b/big.pdf
new file mode 100644 (file)
index 0000000..c4b846a
Binary files /dev/null and b/big.pdf differ

diff --git a/paper.tex b/paper.tex
index 9ebca6f4250938ded7e458240316d92d906a6bc2..7064995b0df7628aed5e2f1f059fbc963880c39f 100644 (file)
--- a/paper.tex
+++ b/paper.tex
@@ -466,7 +466,8 @@ Finding polynomial roots rapidly and accurately is the main objective of our wor
  
 %This paper is organized as follows. In Section~\ref{sec2} we recall the Ehrlich-Aberth method. In section~\ref{sec3} we present EA algorithm on single GPU. In section~\ref{sec4} we propose the EA algorithm implementation on Multi-GPU for (OpenMP-CUDA) approach and (MPI-CUDA) approach. In sectioné\ref{sec5} we present our experiments and discus it. Finally, Section~\ref{sec6} concludes this paper and gives some hints for future research directions in this topic.}
 
  
 %This paper is organized as follows. In Section~\ref{sec2} we recall the Ehrlich-Aberth method. In section~\ref{sec3} we present EA algorithm on single GPU. In section~\ref{sec4} we propose the EA algorithm implementation on Multi-GPU for (OpenMP-CUDA) approach and (MPI-CUDA) approach. In sectioné\ref{sec5} we present our experiments and discus it. Finally, Section~\ref{sec6} concludes this paper and gives some hints for future research directions in this topic.}
 

-The paper is organized as follows. In Section~\ref{sec2} we present three different parallel programming models OpenMP, MPI and CUDA.
+The paper is organized as follows. In Section~\ref{sec2} we present three different parallel programming models OpenMP, MPI and CUDA. In Section~\ref{sec3} we present the Ehrlich-Aberth algorithm on a single GPU. In Section~\ref{sec4} we propose the parallel implementations of the Ehrlich-Aberth algorithm using the OpenMP and MPI approaches.
+

 \LZK{A revoir toute cette organization}
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \LZK{A revoir toute cette organization}
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


@@ -505,6 +506,9 @@ CUDA (Compute Unified Device Architecture) is a parallel computing architecture
 
 %We introduced three paradigms of parallel programming. Our objective consists in implementing a root finding polynomial algorithm on multiple GPUs. To this end, it is primordial to know how to manage CUDA contexts of different GPUs. A direct method for controlling the various GPUs is to use as many threads or processes as GPU devices. We can choose the GPU index based on the identifier of OpenMP thread or the rank of the MPI process. Both approaches will be investigated.
 
 
 %We introduced three paradigms of parallel programming. Our objective consists in implementing a root finding polynomial algorithm on multiple GPUs. To this end, it is primordial to know how to manage CUDA contexts of different GPUs. A direct method for controlling the various GPUs is to use as many threads or processes as GPU devices. We can choose the GPU index based on the identifier of OpenMP thread or the rank of the MPI process. Both approaches will be investigated.
 

+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+

 \section{The EA algorithm on a single GPU}
 \label{sec3}
 \subsection{The EA method}
 \section{The EA algorithm on a single GPU}
 \label{sec3}
 \subsection{The EA method}


@@ -860,33 +864,40 @@ This is due to the use of MPI parallel paradigm that divides the problem computa
 
 
 
 
 
 

-%\begin{figure}[htbp]
-%\centering
- % \includegraphics[angle=-90,width=0.5\textwidth]{Sparse}
-%\caption{Comparaison between MPI and OpenMP versions of the Ehrlich-Aberth method for solving sparse plynomials on GPUs}
-%\label{fig:05}
-%\end{figure}
+\begin{figure}[htbp]
+\centering
+ \includegraphics[angle=-90,width=0.5\textwidth]{Sparse}
+\caption{Comparaison between MPI and OpenMP versions of the Ehrlich-Aberth method for solving sparse plynomials on GPUs.}
+\label{fig:05}
+\end{figure}

 
 

-%\begin{figure}[htbp]
-%\centering
- % \includegraphics[angle=-90,width=0.5\textwidth]{Full}
-%\caption{Comparaison between MPI and OpenMP versions of the Ehrlich-Aberth method for solving full polynomials on GPUs}
-%\label{fig:06}
-%\end{figure}
+\begin{figure}[htbp]
+\centering
+ \includegraphics[angle=-90,width=0.5\textwidth]{Full}
+\caption{Comparaison between MPI and OpenMP versions of the Ehrlich-Aberth method for solving full polynomials on GPUs.}
+\label{fig:06}
+\end{figure}

 
 

-%\begin{figure}[htbp]
-%\centering
- % \includegraphics[angle=-90,width=0.5\textwidth]{MPI}
-%\caption{Comparaison of execution times of the Ehrlich-Aberth method for solving sparse and full polynomials on GPUs with distributed memory paradigm using MPI}
-%\label{fig:07}
-%\end{figure}
+\begin{figure}[htbp]
+\centering
+ \includegraphics[angle=-90,width=0.5\textwidth]{MPI}
+\caption{Comparaison of execution times of the Ehrlich-Aberth method for solving sparse and full polynomials on GPUs with distributed memory paradigm using MPI.}
+\label{fig:07}
+\end{figure}

 
 

-%\begin{figure}[htbp]
-%\centering
- % \includegraphics[angle=-90,width=0.5\textwidth]{OMP}
-%\caption{Comparaison of execution times of the Ehrlich-Aberth method for solving sparse and full polynomials on GPUs with shared memory paradigm using OpenMP}
-%\label{fig:08}
-%\end{figure}
+\begin{figure}[htbp]
+\centering
+ \includegraphics[angle=-90,width=0.5\textwidth]{OMP}
+\caption{Comparaison of execution times of the Ehrlich-Aberth method for solving sparse and full polynomials on GPUs with shared memory paradigm using OpenMP.}
+\label{fig:08}
+\end{figure}
+
+\begin{figure}[htbp]
+\centering
+ \includegraphics[angle=-90,width=0.5\textwidth]{big}
+\caption{Execution times in seconds of the Ehrlich-Aberth method for solving full polynomials of high degrees on 4 GPUs.}
+\label{fig:09}
+\end{figure}

 
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