From b8217a59eed9c64a46eff43726d81c20524d9192 Mon Sep 17 00:00:00 2001 From: Maria Hartmann <lm.hartmann@gmx.de> Date: Mon, 3 May 2021 17:18:12 +0200 Subject: [PATCH] included slim heaps in experiments; modified plot appearance --- data/dijkstra-comps.csv | 22 + data/dijkstra-links.csv | 22 + data/sorting-loc-new-comps.csv | 64 +- data/sorting-loc-new-links.csv | 64 +- data/sorting-sep-new-comps-test.csv | 19 + data/sorting-sep-new-links-test.csv | 19 + data/sorting-subseq-new-comps.csv | 42 +- data/sorting-subseq-new-links.csv | 42 +- data/sorting-uniform-new-comps.csv | 38 +- data/sorting-uniform-new-links.csv | 38 +- pairing_heap.py | 8 +- plots/paper-dijkstra-new.svg | 1215 +++++++++------ plots/paper-dijkstra2-new.svg | 1556 ++++++++----------- plots/paper-permutation-localized.svg | 1509 ++++++++---------- plots/paper-permutation-separable.svg | 1509 ++++++++---------- plots/paper-permutation-subseq.svg | 1509 ++++++++---------- plots/paper-permutation-uniform.svg | 1294 ++++++++-------- plots/paper-sorting-loc-new.svg | 2035 +++++++++++-------------- plots/paper-sorting-sep-new-test.svg | 1217 +++++++++++++++ plots/paper-sorting-subseq-new.svg | 1373 ++++++++--------- plots/paper-sorting-uniform-new.svg | 1084 ++++++++----- scripts/paper-dijkstra-test.py | 20 +- scripts/paper-dijkstra-test2.py | 22 +- scripts/paper-permutations.py | 23 +- scripts/paper-sorting-loc.py | 24 +- scripts/paper-sorting-sep.py | 24 +- scripts/paper-sorting-subseq.py | 24 +- scripts/paper-sorting-uniform.py | 22 +- slim_heap.py | 330 ++++ slim_heap_l.py | 196 +++ 30 files changed, 8220 insertions(+), 7144 deletions(-) create mode 100644 data/dijkstra-comps.csv create mode 100644 data/dijkstra-links.csv create mode 100644 data/sorting-sep-new-comps-test.csv create mode 100644 data/sorting-sep-new-links-test.csv create mode 100644 plots/paper-sorting-sep-new-test.svg create mode 100644 slim_heap.py create mode 100644 slim_heap_l.py diff --git a/data/dijkstra-comps.csv b/data/dijkstra-comps.csv new file mode 100644 index 0000000..e391419 --- /dev/null +++ b/data/dijkstra-comps.csv @@ -0,0 +1,22 @@ +randomness parameter value;Pairing;Smooth;Slim +randomness parameter value;21;22;23 +0.05;11.295882352941176;13.954901960784314;14.419999999999998 +0.1;12.4409900990099;15.918217821782179;16.585049504950497 +0.15000000000000002;13.17291390728477;16.937483443708608;17.81165562913907 +0.2;13.344228855721392;18.057064676616914;19.06452736318408 +0.25;14.197968127490043;18.27940239043825;19.3001593625498 +0.30000000000000004;14.620564784053155;18.740531561461797;19.889568106312293 +0.35000000000000003;14.793931623931623;19.161538461538463;20.429116809116813 +0.4;14.86875311720698;19.73922693266833;21.09344139650873 +0.45;14.973281596452328;20.13133037694013;21.526341463414635 +0.5;15.278443113772456;20.33125748502994;21.79740518962076 +0.55;15.462232304900184;20.587277676950997;22.080925589836664 +0.6000000000000001;15.659317803660567;20.716805324459234;22.29154742096506 +0.65;15.801643625192014;20.967019969278034;22.59758832565284 +0.7000000000000001;15.792710413694719;21.266162624821686;22.9316119828816 +0.75;15.977483355525965;21.410026631158456;23.131118508655124 +0.8;16.029737827715355;21.599438202247192;23.351098626716606 +0.8500000000000001;16.176839012925967;21.704183313748533;23.534324324324327 +0.9;16.44336293007769;21.73238623751387;23.58506104328524 +0.9500000000000001;16.198611987381707;22.20273396424816;24.07757097791798 +1.0;16.352507492507492;22.283306693306695;24.203316683316682 diff --git a/data/dijkstra-links.csv b/data/dijkstra-links.csv new file mode 100644 index 0000000..a78e5da --- /dev/null +++ b/data/dijkstra-links.csv @@ -0,0 +1,22 @@ +randomness parameter value;Pairing;Smooth;Slim +randomness parameter value;21;22;23 +0.05;11.295882352941176;9.018431372549019;9.774705882352942 +0.1;12.4409900990099;10.034554455445546;11.043267326732675 +0.15000000000000002;13.17291390728477;10.625629139072847;11.82185430463576 +0.2;13.344228855721392;11.026268656716418;12.359104477611941 +0.25;14.197968127490043;11.36972111553785;12.744541832669324 +0.30000000000000004;14.620564784053155;11.64970099667774;13.143023255813956 +0.35000000000000003;14.793931623931623;11.838404558404559;13.419287749287752 +0.4;14.86875311720698;12.030573566084788;13.6901246882793 +0.45;14.973281596452328;12.200576496674056;13.90419068736142 +0.5;15.278443113772456;12.346467065868264;14.113612774451097 +0.55;15.462232304900184;12.477531760435571;14.283157894736842 +0.6000000000000001;15.659317803660567;12.599217970049915;14.466988352745421 +0.65;15.801643625192014;12.71179723502304;14.61820276497696 +0.7000000000000001;15.792710413694719;12.810756062767476;14.758630527817404 +0.75;15.977483355525965;12.918588548601864;14.898814913448732 +0.8;16.029737827715355;12.99980024968789;15.011123595505616 +0.8500000000000001;16.176839012925967;13.07427732079906;15.142702702702705 +0.9;16.44336293007769;13.164228634850167;15.25294117647059 +0.9500000000000001;16.198611987381707;13.242754994742377;15.364563617245006 +1.0;16.352507492507492;13.307212787212787;15.458991008991006 diff --git a/data/sorting-loc-new-comps.csv b/data/sorting-loc-new-comps.csv index e5f6e07..7a9a967 100644 --- a/data/sorting-loc-new-comps.csv +++ b/data/sorting-loc-new-comps.csv @@ -1,32 +1,32 @@ -randomness parameter value;Pairing;Smooth -randomness parameter value;0;12 -1e-05;3.3110000000000004;0.9997999999999998 -0.01001;9.695700000000002;10.025450000000001 -0.02001;10.85029;11.63291 -0.03001;11.54132;12.58502 -0.040010000000000004;12.00077;13.229379999999999 -0.050010000000000006;12.386989999999999;13.76429 -0.06001;12.68024;14.18097 -0.07001;12.901870000000002;14.504279999999998 -0.08001;13.10722;14.776249999999997 -0.09000999999999999;13.286290000000001;15.04036 -0.10001;13.454849999999999;15.25796 -0.11001;13.583470000000002;15.44508 -0.12000999999999999;13.70061;15.617080000000001 -0.13001000000000001;13.79743;15.745219999999998 -0.14001000000000002;13.926459999999999;15.91376 -0.15001;14.00538;16.05316 -0.16001;14.084409999999998;16.14607 -0.17001000000000002;14.157020000000001;16.25582 -0.18001;14.223750000000003;16.3467 -0.19001;14.300799999999999;16.46123 -0.20001000000000002;14.33816;16.52597 -0.21001;14.4027;16.58205 -0.22001;14.437909999999999;16.66046 -0.23001000000000002;14.500430000000001;16.726419999999997 -0.24001;14.531600000000001;16.78245 -0.25001;14.58332;16.8614 -0.26001;14.613059999999997;16.90503 -0.27001000000000003;14.6482;16.94697 -0.28001000000000004;14.68594;17.00532 -0.29001;14.715880000000002;17.047040000000003 +randomness parameter value;Pairing;Smooth;Slim +randomness parameter value;0;12;24 +1e-05;3.3110000000000004;0.9997999999999998;0.9997999999999998 +0.01001;9.67775;10.0012;10.721779999999999 +0.02001;10.85817;11.643739999999998;12.760180000000002 +0.03001;11.539510000000002;12.58643;13.9607 +0.040010000000000004;12.00396;13.256720000000001;14.792639999999999 +0.050010000000000006;12.37384;13.74697;15.44101 +0.06001;12.659740000000001;14.16565;15.96928 +0.07001;12.90557;14.48692;16.405980000000003 +0.08001;13.09812;14.7944;16.75909 +0.09000999999999999;13.29203;15.05026;17.09758 +0.10001;13.429640000000001;15.2323;17.33226 +0.11001;13.585540000000002;15.445480000000002;17.60907 +0.12000999999999999;13.69317;15.58945;17.822210000000002 +0.13001000000000001;13.803190000000003;15.759569999999998;18.00556 +0.14001000000000002;13.908909999999999;15.88996;18.16571 +0.15001;13.99105;16.02691;18.32263 +0.16001;14.083679999999998;16.16697;18.51621 +0.17001000000000002;14.14457;16.251450000000002;18.6329 +0.18001;14.22918;16.34441;18.73009 +0.19001;14.30017;16.453380000000003;18.874979999999997 +0.20001000000000002;14.337049999999998;16.515639999999998;18.9681 +0.21001;14.392430000000001;16.58045;19.067680000000003 +0.22001;14.45719;16.66163;19.15207 +0.23001000000000002;14.49798;16.72156;19.23429 +0.24001;14.543500000000002;16.78512;19.295849999999998 +0.25001;14.575109999999999;16.84369;19.384130000000003 +0.26001;14.62004;16.90114;19.449379999999998 +0.27001000000000003;14.668430000000003;16.96322;19.532780000000002 +0.28001000000000004;14.67765;17.003639999999997;19.57112 +0.29001;14.714970000000001;17.041320000000002;19.62939 diff --git a/data/sorting-loc-new-links.csv b/data/sorting-loc-new-links.csv index ce73ae8..51d77df 100644 --- a/data/sorting-loc-new-links.csv +++ b/data/sorting-loc-new-links.csv @@ -1,32 +1,32 @@ -randomness parameter value;Pairing;Smooth -randomness parameter value;0;12 -1e-05;3.3110000000000004;0.9997999999999998 -0.01001;9.695700000000002;6.3199499999999995 -0.02001;10.85029;7.162200000000001 -0.03001;11.54132;7.654059999999999 -0.040010000000000004;12.00077;7.984989999999999 -0.050010000000000006;12.386989999999999;8.26281 -0.06001;12.68024;8.46781 -0.07001;12.901870000000002;8.63679 -0.08001;13.10722;8.77514 -0.09000999999999999;13.286290000000001;8.90821 -0.10001;13.454849999999999;9.01913 -0.11001;13.583470000000002;9.11216 -0.12000999999999999;13.70061;9.2018 -0.13001000000000001;13.79743;9.27063 -0.14001000000000002;13.926459999999999;9.354729999999998 -0.15001;14.00538;9.421119999999998 -0.16001;14.084409999999998;9.46995 -0.17001000000000002;14.157020000000001;9.527839999999998 -0.18001;14.223750000000003;9.57139 -0.19001;14.300799999999999;9.629190000000001 -0.20001000000000002;14.33816;9.65897 -0.21001;14.4027;9.688220000000001 -0.22001;14.437909999999999;9.73125 -0.23001000000000002;14.500430000000001;9.761690000000002 -0.24001;14.531600000000001;9.79034 -0.25001;14.58332;9.8314 -0.26001;14.613059999999997;9.85144 -0.27001000000000003;14.6482;9.87486 -0.28001000000000004;14.68594;9.90154 -0.29001;14.715880000000002;9.924119999999998 +randomness parameter value;Pairing;Smooth;Slim +randomness parameter value;0;12;24 +1e-05;3.3110000000000004;0.9997999999999998;0.9997999999999998 +0.01001;9.67775;6.3042300000000004;7.19188 +0.02001;10.85817;7.168280000000001;8.42992 +0.03001;11.539510000000002;7.655379999999999;9.160339999999998 +0.040010000000000004;12.00396;7.999249999999999;9.654850000000001 +0.050010000000000006;12.37384;8.252419999999999;10.041140000000002 +0.06001;12.659740000000001;8.46188;10.357009999999999 +0.07001;12.90557;8.62622;10.61492 +0.08001;13.09812;8.78675;10.82337 +0.09000999999999999;13.29203;8.91469;11.027660000000001 +0.10001;13.429640000000001;9.00646;11.164819999999999 +0.11001;13.585540000000002;9.11176;11.332920000000001 +0.12000999999999999;13.69317;9.18681;11.460630000000002 +0.13001000000000001;13.803190000000003;9.272210000000001;11.56523 +0.14001000000000002;13.908909999999999;9.341800000000001;11.65909 +0.15001;13.99105;9.411700000000002;11.754840000000003 +0.16001;14.083679999999998;9.47869;11.869200000000001 +0.17001000000000002;14.14457;9.52315;11.935640000000001 +0.18001;14.22918;9.56991;12.0 +0.19001;14.30017;9.62381;12.08285 +0.20001000000000002;14.337049999999998;9.657720000000001;12.13275 +0.21001;14.392430000000001;9.69139;12.19594 +0.22001;14.45719;9.72949;12.243250000000003 +0.23001000000000002;14.49798;9.76287;12.287560000000001 +0.24001;14.543500000000002;9.79236;12.32669 +0.25001;14.575109999999999;9.822109999999999;12.378240000000002 +0.26001;14.62004;9.85026;12.42158 +0.27001000000000003;14.668430000000003;9.88027;12.464500000000001 +0.28001000000000004;14.67765;9.89911;12.489040000000001 +0.29001;14.714970000000001;9.92091;12.52088 diff --git a/data/sorting-sep-new-comps-test.csv b/data/sorting-sep-new-comps-test.csv new file mode 100644 index 0000000..dc4195d --- /dev/null +++ b/data/sorting-sep-new-comps-test.csv @@ -0,0 +1,19 @@ +randomness parameter value;Pairing;Smooth;Slim +randomness parameter value;0;12;24 +2;0.0;0.0;0.0 +4;0.6249999999999999;0.5625000000000001;0.5625000000000001 +8;1.2312500000000002;1.2250000000000003;1.2250000000000003 +16;1.8062500000000001;1.734375;1.746875 +32;2.2093749999999996;2.1828125000000003;2.1906250000000003 +64;2.5601562499999995;2.5015625000000004;2.51171875 +128;2.8164062500000004;2.7449218750000006;2.7507812499999997 +256;2.9751953124999995;2.931640625;2.94296875 +512;3.1471679687500003;3.08076171875;3.085546875 +1024;3.2168457031249997;3.1895507812499995;3.1858886718750004 +2048;3.3531005859374994;3.2681640625;3.2591552734375 +4096;3.3708862304687504;3.30394287109375;3.29910888671875 +8192;3.427282714843751;3.34471435546875;3.335760498046875 +16384;3.4669952392578125;3.366510009765625;3.3556823730468754 +32768;3.473672485351563;3.385777282714844;3.373991394042969 +65536;3.4976760864257814;3.396915435791016;3.3844589233398437 +131072;3.500126647949218;3.405287933349609;3.3921943664550787 diff --git a/data/sorting-sep-new-links-test.csv b/data/sorting-sep-new-links-test.csv new file mode 100644 index 0000000..8a02af8 --- /dev/null +++ b/data/sorting-sep-new-links-test.csv @@ -0,0 +1,19 @@ +randomness parameter value;Pairing;Smooth;Slim +randomness parameter value;0;12;24 +2;0.0;0.0;0.0 +4;0.6249999999999999;0.5500000000000002;0.5500000000000002 +8;1.2312500000000002;0.9750000000000003;0.9750000000000003 +16;1.8062500000000001;1.3281250000000002;1.3218750000000001 +32;2.2093749999999996;1.6078125;1.5953125 +64;2.5601562499999995;1.76484375;1.7375000000000003 +128;2.8164062500000004;1.9191406249999998;1.8773437499999996 +256;2.9751953124999995;2.009765625;1.9525390625 +512;3.1471679687500003;2.0896484375;2.02109375 +1024;3.2168457031249997;2.1350585937499997;2.0554687499999997 +2048;3.3531005859374994;2.17060546875;2.0829833984375 +4096;3.3708862304687504;2.1817749023437503;2.094384765625 +8192;3.427282714843751;2.1978515625000004;2.1041320800781254 +16384;3.4669952392578125;2.206170654296875;2.1098266601562496 +32768;3.473672485351563;2.211837768554687;2.114335632324219 +65536;3.4976760864257814;2.216072845458984;2.1168922424316405 +131072;3.500126647949218;2.2179931640625;2.118241882324219 diff --git a/data/sorting-subseq-new-comps.csv b/data/sorting-subseq-new-comps.csv index c9f3891..603ae1f 100644 --- a/data/sorting-subseq-new-comps.csv +++ b/data/sorting-subseq-new-comps.csv @@ -1,21 +1,21 @@ -randomness parameter value;Pairing;Smooth -randomness parameter value;0;12 -1900;7.140770000000002;6.0651 -1800;7.261944999999999;6.198515 -1700;7.313929999999999;6.256444999999999 -1600;7.462670000000001;6.48028 -1500;7.5541849999999995;6.535635000000001 -1400;7.711180000000001;6.737559999999998 -1300;7.786554999999999;6.852745 -1200;7.948655000000001;7.065579999999999 -1100;8.04499;7.18305 -1000;8.25514;7.484164999999999 -900;8.48538;7.764014999999999 -800;8.644215;7.9804650000000015 -700;8.897675;8.31422 -600;9.121414999999999;8.6109 -500;9.441964999999998;9.036955 -400;9.87564;9.61485 -300;10.334719999999999;10.22929 -200;10.993725;11.170739999999999 -100;12.144270000000002;12.770485 +randomness parameter value;Pairing;Smooth;Slim +randomness parameter value;0;12;24 +1900;7.153065;6.05814;6.10638 +1800;7.220275;6.125749999999999;6.184085 +1700;7.257635;6.1938;6.236489999999999 +1600;7.391990000000002;6.326405;6.41053 +1500;7.509505000000001;6.47197;6.5726700000000005 +1400;7.581990000000001;6.570784999999998;6.651484999999999 +1300;7.837345000000001;6.931944999999999;7.048145 +1200;7.924210000000001;7.0518550000000015;7.172499999999999 +1100;8.034790000000001;7.172065;7.318725 +1000;8.206145;7.39088;7.56936 +900;8.479135000000001;7.776070000000001;7.976265 +800;8.662115;7.995735;8.261940000000001 +700;8.863864999999999;8.280320000000001;8.56643 +600;9.13595;8.625425;8.981399999999999 +500;9.422649999999999;9.01364;9.44304 +400;9.834005000000001;9.57885;10.134455 +300;10.352394999999998;10.286950000000001;11.004845 +200;11.020954999999999;11.196654999999998;12.148670000000001 +100;12.138380000000002;12.756085;14.14317 diff --git a/data/sorting-subseq-new-links.csv b/data/sorting-subseq-new-links.csv index a9d195f..9f93878 100644 --- a/data/sorting-subseq-new-links.csv +++ b/data/sorting-subseq-new-links.csv @@ -1,21 +1,21 @@ -randomness parameter value;Pairing;Smooth -randomness parameter value;0;12 -1900;7.140770000000002;4.111149999999999 -1800;7.261944999999999;4.206099999999998 -1700;7.313929999999999;4.23051 -1600;7.462670000000001;4.356905000000001 -1500;7.5541849999999995;4.397234999999999 -1400;7.711180000000001;4.501015000000001 -1300;7.786554999999999;4.575859999999999 -1200;7.948655000000001;4.6985 -1100;8.04499;4.7659400000000005 -1000;8.25514;4.933224999999999 -900;8.48538;5.093285 -800;8.644215;5.216295 -700;8.897675;5.39767 -600;9.121414999999999;5.562875000000001 -500;9.441964999999998;5.790405 -400;9.87564;6.099679999999998 -300;10.334719999999999;6.429255 -200;10.993725;6.9218 -100;12.144270000000002;7.751835000000001 +randomness parameter value;Pairing;Smooth;Slim +randomness parameter value;0;12;24 +1900;7.153065;4.109310000000001;4.242609999999999 +1800;7.220275;4.152085;4.294115 +1700;7.257635;4.198955;4.33525 +1600;7.391990000000002;4.272915;4.447325 +1500;7.509505000000001;4.3566650000000005;4.54668 +1400;7.581990000000001;4.411449999999999;4.59764 +1300;7.837345000000001;4.6216;4.855535000000001 +1200;7.924210000000001;4.686185;4.930525000000001 +1100;8.034790000000001;4.7547749999999995;5.025485000000001 +1000;8.206145;4.88674;5.19118 +900;8.479135000000001;5.094884999999999;5.4413800000000005 +800;8.662115;5.22276;5.627315 +700;8.863864999999999;5.378835;5.821145 +600;9.13595;5.568364999999999;6.07888 +500;9.422649999999999;5.77793;6.364665 +400;9.834005000000001;6.082489999999999;6.7924750000000005 +300;10.352394999999998;6.457979999999999;7.324980000000001 +200;11.020954999999999;6.935074999999998;8.020215 +100;12.138380000000002;7.746515;9.222365000000002 diff --git a/data/sorting-uniform-new-comps.csv b/data/sorting-uniform-new-comps.csv index 351c717..a5cf751 100644 --- a/data/sorting-uniform-new-comps.csv +++ b/data/sorting-uniform-new-comps.csv @@ -1,19 +1,19 @@ -randomness parameter value;Pairing;Smooth -randomness parameter value;0;12 -2;0.0;0.0 -4;0.7000000000000001;0.6000000000000001 -8;1.6749999999999998;1.6500000000000001 -16;2.9875;3.025 -32;4.05625;4.14375 -64;5.71875;5.665625 -128;7.171875;7.395312499999999 -256;8.4984375;8.960156249999999 -512;9.845703125;10.61015625 -1024;11.176171875;12.24921875 -2048;12.404296875000002;13.93369140625 -4096;13.6794921875;15.63544921875 -8192;14.9508056640625;17.39541015625 -16384;16.2085693359375;19.12520751953125 -32768;17.44716796875;20.857037353515626 -65536;18.6917236328125;22.592379760742183 -131072;19.929542541503906;24.330378723144527 +randomness parameter value;Pairing;Smooth;Slim +randomness parameter value;0;12;24 +2;0.0;0.0;0.0 +4;0.65;0.7;0.7 +8;1.6500000000000001;1.75;1.775 +16;3.0125;3.0;3.05 +32;4.36875;4.28125;4.2875 +64;5.65;5.784375;6.0125 +128;7.096875000000001;7.293749999999999;7.6953125 +256;8.50234375;9.017187499999999;9.42421875 +512;9.79140625;10.534374999999999;11.40546875 +1024;11.1201171875;12.249414062500001;13.541015625 +2048;12.4150390625;13.990625;15.75517578125 +4096;13.6927734375;15.6712890625;17.820849609375 +8192;14.946044921875002;17.400000000000002;20.0787353515625 +16384;16.199816894531253;19.117529296875;22.252026367187497 +32768;17.454876708984376;20.84237060546875;24.40491943359375 +65536;18.695001220703126;22.5908935546875;26.56299743652344 +131072;19.936421203613282;24.33431549072266;28.716687011718747 diff --git a/data/sorting-uniform-new-links.csv b/data/sorting-uniform-new-links.csv index 72aaf46..6514c73 100644 --- a/data/sorting-uniform-new-links.csv +++ b/data/sorting-uniform-new-links.csv @@ -1,19 +1,19 @@ -randomness parameter value;Pairing;Smooth 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+2048;12.4150390625;8.36669921875;10.220214843749998 +4096;13.6927734375;9.22490234375;11.449951171875 +8192;14.946044921875002;10.1025146484375;12.78759765625 +16384;16.199816894531253;10.967944335937501;14.073291015625003 +32768;17.454876708984376;11.833294677734376;15.348345947265624 +65536;18.695001220703126;12.709674072265624;16.62651672363281 +131072;19.936421203613282;13.584622192382811;17.89972839355469 diff --git a/pairing_heap.py b/pairing_heap.py index be23a3b..96e95be 100644 --- a/pairing_heap.py +++ b/pairing_heap.py @@ -8,6 +8,8 @@ from pairing_heap_standard import PairingHeapStandard from smooth_heap import SmoothHeap from pairing_heap_l import PairingHeapL from smooth_heap_l import SmoothHeapL +from slim_heap_l import SlimHeapL +from slim_heap import SlimHeap COUNT_TYPE_LINKS=-1 COUNT_TYPE_COMPS=-2 @@ -15,7 +17,7 @@ COUNT_TYPE_BOTH=0 class PairingHeap(PairingHeapInterface): - MODES = {21: "Pairing_L", 22: "Smooth_L"} + MODES = {21: "Pairing_L", 22: "Smooth_L", 23: "Slim_L", 24: "Slim"} mode = 0 countType = COUNT_TYPE_COMPS heap = None @@ -33,6 +35,10 @@ class PairingHeap(PairingHeapInterface): self.heap = PairingHeapL() elif self.mode == 22: # root list version, everything lazy, to be used for Dijkstra test in paper self.heap = SmoothHeapL() + elif self.mode == 23: + self.heap = SlimHeapL() # root list version, everything lazy, to be used for Dijkstra test in paper + elif self.mode == 24: + self.heap = SlimHeap() else: raise Exception("Invalid heap ID! 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["comparisons", "links"] -COLOURS = {21:'xkcd:fire engine red', 22:'xkcd:sea green'} -SHADE_COLOURS = {21: '#fe4d4e', 22: '#58ab8e'} +COLOURS = {21:'xkcd:fire engine red', 22:'xkcd:sea green', 23:'xkcd:electric blue'} +SHADE_COLOURS = {21:'xkcd:fire engine red', 22:'xkcd:sea green', 23:'xkcd:electric blue'} NUMBER_TESTS = 10 # number of tests to run TEST_SIZE = 500 @@ -39,8 +39,8 @@ WEIGHT_RANGE = 10000 def plot_avg_counts(avgCounts): """generates and saves plot of results""" # colours from https://xkcd.com/color/rgb/ - MARKERS_COMP = {21:"o", 12:"d", 22:"^"}#https://matplotlib.org/3.1.1/api/markers_api.html - MARKERS_LINK = {21:"o", 12:"D", 22:"D"} + MARKERS_COMP = {21:"o", 12:"d", 22:"^", 23:"p"}#https://matplotlib.org/3.1.1/api/markers_api.html + MARKERS_LINK = {21:"o", 12:"D", 22:"D", 23: "X"} plt.figure('avg number of operations in Dijkstra\'s algorithm') deviations = [factor * EDGE_PROBABILITY for factor in range(1, 21, 1)] for k in TYPES.keys(): @@ -55,11 +55,11 @@ def plot_avg_counts(avgCounts): plt.plot(deviations, avgLinks, color=COLOURS[k], linestyle="--", marker=MARKERS_LINK[k], markerfacecolor=COLOURS[k], markersize=9, markeredgewidth=1, markeredgecolor='black', label=TYPES[k] + " links") plt.fill_between(deviations, minLinks, maxLinks, color=SHADE_COLOURS[k], alpha=.3) - plt.xlabel('Edge probability', fontsize=26) - plt.ylabel('Avg. number of operations / size', fontsize=26) - plt.xticks(fontsize=20) - plt.yticks(fontsize=20) - plt.rc('legend',fontsize=26) # using a size in points + plt.xlabel('Edge probability', fontsize=39) + plt.ylabel('Avg. number of operations / size', fontsize=39) + plt.xticks(fontsize=30) + plt.yticks(fontsize=30) + plt.rc('legend',fontsize=30) # using a size in points plt.legend() plt.grid(True) figure = plt.gcf() # get current figure diff --git a/scripts/paper-dijkstra-test2.py b/scripts/paper-dijkstra-test2.py index 20793e1..34cc71b 100755 --- a/scripts/paper-dijkstra-test2.py +++ b/scripts/paper-dijkstra-test2.py @@ -21,13 +21,13 @@ COUNT_TYPE_BOTH = 0 COUNT_TYPE_LINKS = -1 COUNT_TYPE_COMPS = -2 -TYPES = {21: "Pairing", 22: "Smooth"} +TYPES = {21: "Pairing", 22: "Smooth", 23: "Slim"} MAX_TYPE_KEY = max(TYPES.keys()) FIG_LABELS = ["comparisons", "links"] # colours from https://xkcd.com/color/rgb/ -COLOURS = {21:'xkcd:fire engine red', 22:'xkcd:sea green'} -SHADE_COLOURS = {21: '#fe4d4e', 22: '#58ab8e'} +COLOURS = {21:'xkcd:fire engine red', 22:'xkcd:sea green', 23:'xkcd:electric blue'} +SHADE_COLOURS = {21:'xkcd:fire engine red', 22:'xkcd:sea green', 23:'xkcd:electric blue'} NUMBER_TESTS = 10 # number of tests to run TEST_SIZE = 500 @@ -36,8 +36,8 @@ WEIGHT_RANGE = 10000 def plot_avg_counts(avgCounts): - MARKERS_COMP = {21:"o", 12:"d", 22:"^"}#https://matplotlib.org/3.1.1/api/markers_api.html - MARKERS_LINK = {21:"o", 12:"D", 22:"D"} + MARKERS_COMP = {21:"o", 12:"d", 22:"^", 23:"p"}#https://matplotlib.org/3.1.1/api/markers_api.html + MARKERS_LINK = {21:"o", 12:"D", 22:"D", 23: "X"} plt.figure('avg number of operations in Dijkstra\'s algorithm') deviations = [ 10+round(TEST_SIZE*20*factor * EDGE_PROBABILITY) for factor in range(1, 21, 1)] for k in TYPES.keys(): @@ -52,12 +52,12 @@ def plot_avg_counts(avgCounts): plt.plot(deviations, avgLinks, color=COLOURS[k], linestyle="--", marker=MARKERS_LINK[k], markerfacecolor=COLOURS[k], markersize=9, markeredgewidth=1, markeredgecolor='black', label=TYPES[k] + " links") plt.fill_between(deviations, minLinks, maxLinks, color=SHADE_COLOURS[k], alpha=.3) - plt.xlabel('Graph size', fontsize=26) - plt.ylabel('Avg. number of operations / size', fontsize=26) - plt.xticks(fontsize=20) - plt.yticks(fontsize=20) - plt.rc('legend', fontsize=26) # using a size in points - plt.legend() + plt.xlabel('Graph size', fontsize=39) + #plt.ylabel('Avg. number of operations / size', fontsize=39) + plt.xticks(fontsize=30) + plt.yticks(fontsize=30) + #plt.rc('legend', fontsize=39) # using a size in points + #plt.legend() plt.grid(True) figure = plt.gcf() # get current figure figure.set_size_inches(16, 18) # set figure's size manually to full screen diff --git a/scripts/paper-permutations.py b/scripts/paper-permutations.py index 5d8b956..32e00bd 100755 --- a/scripts/paper-permutations.py +++ b/scripts/paper-permutations.py @@ -8,7 +8,7 @@ import numpy as np """This file generates visualizations of the different random permutation classes. Resulting plots are stored in ../plots""" -def plot_permutation(permutation, title, filename): +def plot_permutation(permutation, title, filename, show_legend=True): # visualizing given permutation as element index in permutation over element index in sorted list # colours from https://xkcd.com/color/rgb/ plt.figure(title) @@ -17,12 +17,15 @@ def plot_permutation(permutation, title, filename): indices = [i for i in range(len(sortedList))] pindices = [permutation.index(x) for x in sortedList] plt.plot(indices, pindices, color='xkcd:charcoal', marker='o', linestyle="", label="(sorted index, permuted index)") - plt.xlabel('Index in sorted list', fontsize=26) - plt.ylabel('Index in permutation', fontsize=26) - plt.xticks(fontsize=20) - plt.yticks(fontsize=20) - plt.rc('legend',fontsize=26) # using a size in points - plt.legend() + plt.xlabel('Index in sorted list', fontsize=39) + plt.xticks(fontsize=30) + if show_legend: + plt.ylabel('Index in permutation', fontsize=39) + plt.yticks(fontsize=30) + plt.rc('legend',fontsize=30) # using a size in points + plt.legend() + else: + plt.gca().axes.yaxis.set_ticklabels([]) plt.grid(True) figure = plt.gcf() # get current figure figure.set_size_inches(16, 18) # set figure's size manually to full screen @@ -82,11 +85,11 @@ random.shuffle(randomPermutation) plot_permutation(randomPermutation, "Uniformly Random Permutation", "uniform") # generating random separable permutation separablePermutation = separablePermutation(512) -plot_permutation(separablePermutation, "Random Separable Permutation", "separable") +plot_permutation(separablePermutation, "Random Separable Permutation", "separable", False) # generating random localized permutation localizedPermutation = localizedShuffleByIndex(sortedList, 0.15) -plot_permutation(localizedPermutation, "Random Localized Permutation", "localized") +plot_permutation(localizedPermutation, "Random Localized Permutation", "localized", False) # generating random permutation with continuous sorted subsequences subseqPermutation = generateContSortedSubseq(sortedList, 30) -plot_permutation(subseqPermutation, "Random Subsequence Permutation", "subseq") +plot_permutation(subseqPermutation, "Random Subsequence Permutation", "subseq", False) diff --git a/scripts/paper-sorting-loc.py b/scripts/paper-sorting-loc.py index d7c5b34..fce1cd6 100644 --- a/scripts/paper-sorting-loc.py +++ b/scripts/paper-sorting-loc.py @@ -23,10 +23,10 @@ COUNT_TYPE_LINKS = -1 COUNT_TYPE_COMPS = -2 NUMBER_TESTS = 10 # number of tests to run INCREMENT_LOC = 0.01 -TYPES = {0: "Pairing", 12: "Smooth"} +TYPES = {0: "Pairing", 12: "Smooth", 24:"Slim"} MAX_TYPE_KEY = max(TYPES.keys()) -COLOURS = {0: 'xkcd:fire engine red', 12: 'xkcd:green'} -SHADE_COLOURS = {0: '#fe4d4e', 12: '#58ab8e'} +COLOURS = {0: 'xkcd:fire engine red', 12:'xkcd:sea green', 24:'xkcd:electric blue'} +SHADE_COLOURS = {0: 'xkcd:fire engine red', 12:'xkcd:sea green', 24:'xkcd:electric blue'} def isSorted(list0): @@ -46,8 +46,8 @@ def localizedShuffleByIndex(llist, sdev): def plot_avg_counts(avgCounts): # colours from https://xkcd.com/color/rgb/ - MARKERS_COMP = {0:"o", 12:"^"}#https://matplotlib.org/3.1.1/api/markers_api.html - MARKERS_LINK = {0:"o", 12:"D"} + MARKERS_COMP = {0:"o", 12:"^", 24:"p"}#https://matplotlib.org/3.1.1/api/markers_api.html + MARKERS_LINK = {0:"o", 12:"D", 24:"X"} plt.figure('avg number of operations by heap type') deviations = [fac * INCREMENT_LOC for fac in range(0, math.ceil(0.3 / INCREMENT_LOC), 1)] @@ -63,12 +63,12 @@ def plot_avg_counts(avgCounts): plt.plot(deviations, avgLinks, color=COLOURS[k], linestyle="--", marker=MARKERS_LINK[k], markerfacecolor=COLOURS[k], markersize=9, markeredgewidth=1, markeredgecolor='black', label=TYPES[k] + " links") plt.fill_between(deviations, minLinks, maxLinks, color=SHADE_COLOURS[k], alpha=.3) - plt.xlabel('Locality parameter', fontsize=26) - plt.ylabel('Avg. number of operations / size', fontsize=26) - plt.xticks(fontsize=20) - plt.yticks(fontsize=20) - plt.rc('legend', fontsize=26) # using a size in points - plt.legend() + plt.xlabel('Locality parameter', fontsize=39) + #plt.ylabel('Avg. number of operations / size', fontsize=39) + plt.xticks(fontsize=30) + plt.yticks(fontsize=30) + #plt.rc('legend', fontsize=39) # using a size in points + #plt.legend() plt.grid(True) figure = plt.gcf() # get current figure figure.set_size_inches(16, 18) # set figure's size manually to your full screen (32x18) @@ -78,7 +78,7 @@ def plot_avg_counts(avgCounts): -def export_results(params, results, countType, heapTypes, filename="dijkstra"): +def export_results(params, results, countType, heapTypes, filename="sorting-loc"): # exports results of simulation as separate .csv files, one for links and one for comparisons, into ../data directory # each row contains randomness parameter value; plus one column containing the number of operations for each heap type if countType == COUNT_TYPE_BOTH: diff --git a/scripts/paper-sorting-sep.py b/scripts/paper-sorting-sep.py index 533b79c..da2994f 100644 --- a/scripts/paper-sorting-sep.py +++ b/scripts/paper-sorting-sep.py @@ -28,10 +28,10 @@ TEST_SIZE = 10000 # number of elements in test list STEP_SIZE = 100 INCREMENT_LOC = 0.005 INCREMENT_SUBSEQS = 100 -TYPES = {0: "Pairing", 12: "Smooth"} +TYPES = {0: "Pairing", 12: "Smooth", 24: "Slim"} MAX_TYPE_KEY = max(TYPES.keys()) -COLOURS = {0:'xkcd:fire engine red', 12:'xkcd:green'} -SHADE_COLOURS = {0:'#fe4d4e', 12:'#58ab8e'} +COLOURS = {0: 'xkcd:fire engine red', 12:'xkcd:sea green', 24:'xkcd:electric blue'} +SHADE_COLOURS = {0: 'xkcd:fire engine red', 12:'xkcd:sea green', 24:'xkcd:electric blue'} def isSorted(list0): @@ -40,8 +40,8 @@ def isSorted(list0): def plot_avg_counts(avgCounts): # colours from https://xkcd.com/color/rgb/ - MARKERS_COMP = {0:"o", 12:"^"}#https://matplotlib.org/3.1.1/api/markers_api.html - MARKERS_LINK = {0:"o", 12:"D"} + MARKERS_COMP = {0:"o", 12:"^", 24: "p"}#https://matplotlib.org/3.1.1/api/markers_api.html + MARKERS_LINK = {0:"o", 12:"D", 24: "X"} plt.figure('avg number of operations by heap type') for k in TYPES.keys(): @@ -57,12 +57,12 @@ def plot_avg_counts(avgCounts): plt.plot([2**p for p in range(4, MAXSIZE)], avgLinks[3:MAXSIZE-1], color=COLOURS[k], linestyle="--", marker=MARKERS_LINK[k], markerfacecolor=COLOURS[k], markersize=9, markeredgewidth=1, markeredgecolor='black', label=TYPES[k] + " links") plt.fill_between([2**p for p in range(4, MAXSIZE)], minLinks[3:MAXSIZE-1], maxLinks[3:MAXSIZE-1], color=SHADE_COLOURS[k], alpha=.3) - plt.xlabel('Input size', fontsize=26) - plt.ylabel('Avg. number of operations / size', fontsize=26) - plt.xticks(fontsize=20) - plt.yticks(fontsize=20) - plt.rc('legend', fontsize=26) # using a size in points - plt.legend() + plt.xlabel('Input size', fontsize=39) + #plt.ylabel('Avg. number of operations / size', fontsize=39) + plt.xticks(fontsize=30) + plt.yticks(fontsize=30) + #plt.rc('legend', fontsize=39) # using a size in points + #plt.legend() plt.grid(True) figure = plt.gcf() # get current figure figure.set_size_inches(16, 18) # set figure's size manually to full screen @@ -71,7 +71,7 @@ def plot_avg_counts(avgCounts): plt.show() -def export_results(params, results, countType, heapTypes, filename="dijkstra"): +def export_results(params, results, countType, heapTypes, filename="sorting-sep"): # exports results of simulation as separate .csv files, one for links and one for comparisons, into ../data directory # each row contains randomness parameter value; plus one column containing the number of operations for each heap type if countType == COUNT_TYPE_BOTH: diff --git a/scripts/paper-sorting-subseq.py b/scripts/paper-sorting-subseq.py index 6c8e24d..8194b7f 100644 --- a/scripts/paper-sorting-subseq.py +++ b/scripts/paper-sorting-subseq.py @@ -27,10 +27,10 @@ NUMBER_TESTS = 20 # number of tests to run LIST_LEN = 10000 # number of elements in test list TEST_SIZE = 10000 # number of elements in test list INCREMENT_SUBSEQS = 100 -TYPES = {0: "Pairing", 12: "Smooth"} +TYPES = {0: "Pairing", 12: "Smooth", 24: "Slim"} MAX_TYPE_KEY = max(TYPES.keys()) -COLOURS = {0:'xkcd:fire engine red', 12:'xkcd:green'} -SHADE_COLOURS = {0:'#fe4d4e', 12:'#58ab8e'} +COLOURS = {0: 'xkcd:fire engine red', 12:'xkcd:sea green', 24:'xkcd:electric blue'} +SHADE_COLOURS = {0: 'xkcd:fire engine red', 12:'xkcd:sea green', 24:'xkcd:electric blue'} def isSorted(list0): @@ -53,8 +53,8 @@ def generateContSortedSubseq(llist, sublen): def plot_avg_counts(avgCounts): # colours from https://xkcd.com/color/rgb/ - MARKERS_COMP = {0:"o", 12:"^"}#https://matplotlib.org/3.1.1/api/markers_api.html - MARKERS_LINK = {0:"o", 12:"D"} + MARKERS_COMP = {0:"o", 12:"^", 24: "p"}#https://matplotlib.org/3.1.1/api/markers_api.html + MARKERS_LINK = {0:"o", 12:"D", 24:"X"} plt.figure('avg number of operations by heap type') deviations = [fac*INCREMENT_SUBSEQS/200 for fac in range(1, math.ceil((TEST_SIZE/5)/INCREMENT_SUBSEQS), 1)] deviations.reverse() @@ -72,12 +72,12 @@ def plot_avg_counts(avgCounts): plt.fill_between(deviations, minLinks, maxLinks, color=SHADE_COLOURS[k], alpha=.3) - plt.xlabel('Avg. length of sorted blocks, % of size', fontsize=26) - plt.ylabel('Avg. number of operations / size', fontsize=26) - plt.xticks(fontsize=20) - plt.yticks(fontsize=20) - plt.rc('legend', fontsize=26) # using a size in points - plt.legend() + plt.xlabel('Avg. length of sorted blocks, % of size', fontsize=39) + #plt.ylabel('Avg. number of operations / size', fontsize=39) + plt.xticks(fontsize=30) + plt.yticks(fontsize=30) + #plt.rc('legend', fontsize=39) # using a size in points + #plt.legend() plt.grid(True) plt.gca().invert_xaxis() figure = plt.gcf() # get current figure @@ -87,7 +87,7 @@ def plot_avg_counts(avgCounts): plt.show() -def export_results(params, results, countType, heapTypes, filename="dijkstra"): +def export_results(params, results, countType, heapTypes, filename="sorting-subseq"): # exports results of simulation as separate .csv files, one for links and one for comparisons, into ../data directory # each row contains randomness parameter value; plus one column containing the number of operations for each heap type if countType == COUNT_TYPE_BOTH: diff --git a/scripts/paper-sorting-uniform.py b/scripts/paper-sorting-uniform.py index 5e445d0..d5280e3 100644 --- a/scripts/paper-sorting-uniform.py +++ b/scripts/paper-sorting-uniform.py @@ -23,10 +23,10 @@ COUNT_TYPE_LINKS = -1 COUNT_TYPE_COMPS = -2 MAXSIZE = 18 NUMBER_TESTS = 5 # number of tests to run -TYPES = {0: "Pairing", 12: "Smooth"} +TYPES = {0: "Pairing", 12: "Smooth", 24:"Slim"} MAX_TYPE_KEY = max(TYPES.keys()) -COLOURS = {0: 'xkcd:fire engine red', 12: 'xkcd:green'} -SHADE_COLOURS = {0: '#fe4d4e', 12: '#58ab8e'} +COLOURS = {0: 'xkcd:fire engine red', 12:'xkcd:sea green', 24:'xkcd:electric blue'} +SHADE_COLOURS = {0: 'xkcd:fire engine red', 12:'xkcd:sea green', 24:'xkcd:electric blue'} def isSorted(list0): @@ -35,8 +35,8 @@ def isSorted(list0): def plot_avg_counts_uni(avgCounts): # colours from https://xkcd.com/color/rgb/ - MARKERS_COMP = {0: "o", 12: "^"} # https://matplotlib.org/3.1.1/api/markers_api.html - MARKERS_LINK = {0: "o", 12: "D"} + MARKERS_COMP = {0: "o", 12: "^", 24:"p"} # https://matplotlib.org/3.1.1/api/markers_api.html + MARKERS_LINK = {0: "o", 12: "D", 24:"X"} plt.figure('avg number of operations by heap type') for k in TYPES.keys(): avgComps = [acounts[k] for acounts in avgCounts[0]] @@ -57,11 +57,11 @@ def plot_avg_counts_uni(avgCounts): color=SHADE_COLOURS[k], alpha=.3) # plt.title('Sorting random permutations', fontsize=25) - plt.xlabel('Input size', fontsize=26) - plt.ylabel('Avg. number of operations / size', fontsize=26) - plt.xticks(fontsize=20) - plt.yticks(fontsize=20) - plt.rc('legend', fontsize=26) # using a size in points + plt.xlabel('Input size', fontsize=39) + plt.ylabel('Avg. number of operations / size', fontsize=39) + plt.xticks(fontsize=30) + plt.yticks(fontsize=30) + plt.rc('legend', fontsize=30) # using a size in points plt.legend() plt.grid(True) figure = plt.gcf() # get current figure @@ -71,7 +71,7 @@ def plot_avg_counts_uni(avgCounts): plt.show() -def export_results(params, results, countType, heapTypes, filename="dijkstra"): +def export_results(params, results, countType, heapTypes, filename="sorting-uniform"): # parse data as randomness parameter; counts per heap type if countType == COUNT_TYPE_BOTH: with open("../data/" + filename + '-comps.csv', 'w', newline='') as csvfile: diff --git a/slim_heap.py b/slim_heap.py new file mode 100644 index 0000000..f611de6 --- /dev/null +++ b/slim_heap.py @@ -0,0 +1,330 @@ +#!/usr/bin/python3 +from node import Node +import math +from pairing_heap_interface import PairingHeapInterface + + +class SlimHeap(PairingHeapInterface): + forest = [] # list storing roots of all top-level trees not in buffer + buffer = [] # decrease buffer + minNode = None + size = 0 + + def __init__(self, root=None): + self.forest = [] + self.buffer = [] + if root is not None: + root.parent = None + root.nextSibling = root + self.minNode = root + self.forest += [root] + + + def make_heap(self): + # this is equivalent to init + pass + + def find_min(self): + return self.minNode + + def listPreOrderHelper(self, root): + res = [] + if root.rightChild is None: + return [root.key] + else: + current = root.rightChild + res += [root.key, self.listPreOrderHelper(current)] + while current.nextSibling != root.rightChild: + current = current.nextSibling + res += [self.listPreOrderHelper(current)] + return [res] + + def listPreOrder(self): + res = [] + buf = [] + for item in self.forest: + res += self.listPreOrderHelper(item) + print(res) + for elem in self.buffer: + buf += self.listPreOrderHelper(elem) + print("buffer: {}".format(buf)) + + def link(self, parent, child): + """child becomes leftmost child of parent""" + if parent.rightChild is None: + parent.rightChild = child + child.nextSibling = child + else: + child.nextSibling = parent.rightChild.nextSibling + parent.rightChild.nextSibling = child + child.parent = parent + + def stable_link_left(self, left, right): + """left node becomes parent of right node""" + if left.rightChild is not None: + right.nextSibling = left.rightChild.nextSibling + left.rightChild.nextSibling = right + else: + right.nextSibling = right + left.rightChild = right + right.parent = left + + def stable_link_right(self, left, right): + """right node becomes parent of left node""" + if right.rightChild is None: + right.rightChild = left + left.nextSibling = left + else: + left.nextSibling = right.rightChild.nextSibling + right.rightChild.nextSibling = left + left.parent = right + + def insert(self, node): + """concatenates node to list of roots in forest list""" + if node is None: + return (0, 0) # no comparisons, no links + node.nextSibling = node + node.parent = None + self.forest += [node] + self.size += 1 + if self.minNode is None or node.key <= self.minNode.key: + self.minNode = node + return (1, 0) # 1 comparison, no links + + def merge(self, heap2): + """cleans buffer of smaller heap, then concatenates forest lists + returns number of comparisons and link operations""" + if heap2 is None: + return (0, 0) + compCount = 0 + linkCount = 0 + if len(self.forest) + len(self.buffer) > len(heap2.forest) + len(heap2.buffer): + # first heap larger than second + (cc, lc) = heap2.clean_buffer() + linkCount += lc + compCount += cc + 1 # accounting for minNode comparison (at the end) as well + self.forest += heap2.forest + else: + (cc, lc) = self.clean_buffer() + linkCount += lc + compCount += cc + 1 # accounting for minNode comparison (at the end) as well + self.forest = heap2.forest + self.forest + self.buffer = heap2.buffer + self.size += heap2.size + if (self.minNode.key >= heap2.minNode.key): + self.minNode = heap2.minNode + return (compCount, linkCount) + + def delete_min(self): + """consolidates and empties buffer, replaces minimum by its children in root list, + then consolidates root list. + Returns minNode, number of comparisons, number of link operations""" + (compCount, linkCount) = self.clean_buffer() + if self.minNode is None or len(self.forest) + len(self.buffer) == 0: # this should be the same + return (None, 0, 0) + minKeyNode = self.minNode + minNodeChildren = [] + + if self.minNode.rightChild is not None: + minNodeChildren += [self.minNode.rightChild] + self.minNode.rightChild.parent = None + current = self.minNode.rightChild.nextSibling + self.minNode.rightChild.nextSibling = self.minNode.rightChild + + while current != self.minNode.rightChild: + minNodeChildren += [current] + tempNode = current + current = current.nextSibling + tempNode.nextSibling = tempNode + tempNode.parent = None + idx = self.forest.index(self.minNode) + self.forest = self.forest[:idx] + minNodeChildren + self.forest[idx + 1:] # replace minNode with its children + self.size -= 1 + (cc, lc) = self.treapify() + return (minKeyNode, compCount + cc, linkCount + lc) + + def treapify(self): + """links roots in pool (forest) into treap + (this uses the pseudocode of delete-min from https://arxiv.org/abs/1802.05471) + returns number of links/comparisons + """ + linkCount = 0 # counts only number of links + compCount = 0 # counts only number of comparisons + if len(self.forest) == 0: # pool is empty + self.minNode = None + return (compCount, linkCount) + + elif len(self.forest) == 1: + self.minNode = self.forest[0] + return (compCount, linkCount) + + else: + i = 0 + curr_forest = self.forest + while i < len(curr_forest) - 1: + compCount += 1 # first if-else comparison + if curr_forest[i].key < curr_forest[i + 1].key: + i = i + 1 + else: + skip = False + while i > 0: + compCount += 1 + linkCount += 1 + if curr_forest[i - 1].key > curr_forest[i + 1].key: + # link predecessor as parent of current node + self.link(curr_forest[i - 1], curr_forest[i]) + #self.stable_link_left(curr_forest[i - 1], curr_forest[i]) + # remove node at index i from top-list + curr_forest = curr_forest[:i] + curr_forest[i + 1:] + i = i - 1 + else: + # link successor as parent of current node + self.link(curr_forest[i + 1], curr_forest[i]) + #self.stable_link_right(curr_forest[i], curr_forest[i + 1]) + # remove node at index i from top-list + curr_forest = curr_forest[:i] + curr_forest[i + 1:] + # i=i+1 + skip = True + break + if not skip: # i==0 + # link current as leftmost child of successor + self.link(curr_forest[i + 1], curr_forest[i]) + #self.stable_link_right(curr_forest[i], curr_forest[i + 1]) + # remove node from top-list + curr_forest = curr_forest[i + 1:] + linkCount += 1 + + while i > 0: + # link predecessor as parent of current node + self.link(curr_forest[i - 1], curr_forest[i]) + #self.stable_link_left(curr_forest[i - 1], curr_forest[i]) + curr_forest = curr_forest[:i] + linkCount += 1 + i = i - 1 + self.forest = curr_forest + assert len(self.forest) == 1 + self.minNode = self.forest[0] + return (compCount, linkCount) + + def mergesort(self, llist): + # standard mergesort, implemented to count comparisons properly + if len(llist) < 2: + return 0, llist + split_idx = int(math.floor(len(llist) / 2)) + compsleft, lleft = self.mergesort(llist[:split_idx]) + compsright, lright = self.mergesort(llist[split_idx:]) + l = 0 + r = 0 + comps = compsleft + compsright + sorted = [] + while l + r < len(llist): + if r == len(lright) or (l < len(lleft) and lleft[l].key <= lright[r].key): + sorted += [lleft[l]] + l += 1 + else: + sorted += [lright[r]] + r += 1 + comps += 1 + return comps, sorted + + def clean_buffer(self): + if len(self.buffer) == 0: # buffer is empty + return (0, 0) + comps, self.buffer = self.mergesort(self.buffer) + self.buffer.reverse() + n = len(self.buffer) + + while len(self.buffer) > 1: + self.stable_link_right(self.buffer[0], self.buffer[1]) + self.buffer = self.buffer[1:] + + treapified = self.buffer[0] + self.buffer = [] + (compCount, linkCount) = self.merge(SlimHeap(treapified)) + + return (compCount + comps, linkCount + n - 1) # (n-1)links while consolidating + + def decrease_key(self, node, diff): + """cut out node from current location, leaving leftmost child; + decrease key; place node with remaining subtree in buffer. + Returns number of comparisons, links""" + assert node is not None + linkCount = 0 + compCount = 0 + node.key = node.key - diff + + if node.parent is None and node.rightChild is None: # node is root and has no children + # could just leave this in place alternatively + if node in self.forest: + idx = self.forest.index(node) + self.forest = self.forest[:idx] + self.forest[idx + 1:] + self.buffer += [node] + elif node in self.buffer: + pass + else: + self.listPreOrder() + raise Exception("node with key {} is not in heap".format(node.key)) + + elif node.parent is None: # node is a root and has children + leftChild = node.rightChild.nextSibling + if leftChild.nextSibling != leftChild: + node.rightChild.nextSibling = leftChild.nextSibling # cut out leftmost child + else: + node.rightChild = None + leftChild.nextSibling = leftChild + leftChild.parent = None + if node in self.forest: + idx = self.forest.index(node) # remove node from pool and replace with leftChild + self.forest = self.forest[:idx] + [leftChild] + self.forest[idx + 1:] + self.buffer += [node] + elif node in self.buffer: + pass + else: + self.listPreOrder() + raise Exception("node with key {} is not in heap".format(node.key)) + else: # node is not a root + leftChild = None + if node.rightChild is not None: + leftChild = node.rightChild.nextSibling + leftChild.parent = node.parent + current = node.parent.rightChild + + if node.nextSibling == node and leftChild is not None: # node not a leaf and has no siblings + if leftChild.nextSibling != leftChild: + node.rightChild.nextSibling = leftChild.nextSibling # cut out leftmost child + else: + node.rightChild = None + leftChild.nextSibling = leftChild + node.parent.rightChild = leftChild + + elif leftChild is not None: # node is not a leaf and has siblings + if leftChild.nextSibling != leftChild: + node.rightChild.nextSibling = leftChild.nextSibling # cut out leftmost child + else: + node.rightChild = None + while current.nextSibling != node: # find predecessor of node + current = current.nextSibling + current.nextSibling = leftChild + leftChild.nextSibling = node.nextSibling + if node.parent.rightChild == node: + node.parent.rightChild = leftChild + + elif node.nextSibling != node: # node is leaf and has siblings + while current.nextSibling != node: + current = current.nextSibling + current.nextSibling = node.nextSibling + if node.parent.rightChild == node: + node.parent.rightChild = current + + else: # node is leaf and has no siblings + node.parent.rightChild = None + + node.parent = None + node.nextSibling = node + self.buffer += [node] + + if len(self.buffer) > math.ceil(math.log(self.size, 2)): + (cc2, lc2) = self.clean_buffer() + compCount += cc2 + linkCount += lc2 + return (compCount, linkCount) diff --git a/slim_heap_l.py b/slim_heap_l.py new file mode 100644 index 0000000..f01bf74 --- /dev/null +++ b/slim_heap_l.py @@ -0,0 +1,196 @@ +#!/usr/bin/python3 +from node import Node +import math +from pairing_heap_interface import PairingHeapInterface + + +class SlimHeapL(PairingHeapInterface): + """lazy implementation of slim heap without buffer""" + forest = [] # list storing roots of all top-level trees + minNode = None + + def __init__(self, root=None): + self.forest = [] + if root != None: + root.parent = None + root.nextSibling = root + self.minNode = root + self.forest += [root] + + def make_heap(self): + # this is equivalent to init + pass + + def find_min(self): + return self.minNode + + def listPreOrderHelper(self, root): + res = [] + if root.rightChild == None: + return [root.key] + else: + current = root.rightChild + res += [root.key, self.listPreOrderHelper(current)] + while current.nextSibling != root.rightChild: + current = current.nextSibling + res += [self.listPreOrderHelper(current)] + return [res] + + def listPreOrder(self): + res = [] + buf = [] + for item in self.forest: + res += self.listPreOrderHelper(item) + print(res) + + def link(self, parent, child): + """child becomes leftmost child of parent""" + if parent.rightChild is None: + parent.rightChild = child + child.nextSibling = child + else: + child.nextSibling = parent.rightChild.nextSibling + parent.rightChild.nextSibling = child + child.parent = parent + + + def insert(self, node): + """concatenates node to list of trees in pool""" + if node is None: + return (0, 0) # no comparisons, no links + node.nextSibling = node + node.parent = None + self.forest += [node] + return (0, 0) # 1 comparison, no links + + def merge(self, heap2): + """concatenates root lists of heaps""" + if heap2 is None: + return (0, 0) + compCount = 0 + linkCount = 0 + if len(self.forest) > len(heap2.forest): + # first heap larger than second + self.forest += heap2.forest + else: + self.forest = heap2.forest + self.forest + return (compCount, linkCount) + + def delete_min(self): + """consolidates into single tree; extracts min node, + placing its orphaned children in root list. + Returns min node, number comparisons, number links""" + if len(self.forest) == 0: + return (None, 0, 0) + (cc, lc) = self.treapify() + assert len(self.forest) == 1 + minKeyNode = self.minNode + minNodeChildren = [] + + if self.minNode.rightChild is not None: + minNodeChildren += [self.minNode.rightChild] + self.minNode.rightChild.parent = None + current = self.minNode.rightChild.nextSibling + self.minNode.rightChild.nextSibling = self.minNode.rightChild + + while current != self.minNode.rightChild: + minNodeChildren += [current] + tempNode = current + current = current.nextSibling + tempNode.nextSibling = tempNode + tempNode.parent = None + self.forest = minNodeChildren + return (minKeyNode, cc, lc) + + def treapify(self): + """links roots in pool (forest) into treap and returns number of links/comparisons + this uses the pseudocode of delete-min from https://arxiv.org/abs/1802.05471 + returns number comparisons, number link operations performed""" + linkCount = 0 # counts only number of links + compCount = 0 # counts only number of comparisons + fs = len(self.forest) + if len(self.forest) == 0: # pool is empty + self.minNode = None + return (compCount, linkCount) + + elif len(self.forest) == 1: + self.minNode = self.forest[0] + return (compCount, linkCount) + + else: + i = 0 + curr_forest = self.forest + while i < len(curr_forest) - 1: + compCount += 1 # first if-else comparison + if curr_forest[i].key < curr_forest[i + 1].key: + i = i + 1 + else: + skip = False + while i > 0: + compCount += 1 + linkCount += 1 + if curr_forest[i - 1].key > curr_forest[i + 1].key: + # link predecessor as parent of current node + self.link(curr_forest[i - 1], curr_forest[i]) + + # remove node at index i from top-list + curr_forest = curr_forest[:i] + curr_forest[i + 1:] + i = i - 1 + else: + # link successor as parent of current node + self.link(curr_forest[i + 1], curr_forest[i]) + # remove node at index i from top-list + curr_forest = curr_forest[:i] + curr_forest[i + 1:] + # i=i+1 + skip = True + break + if not skip: # i==0 + # link current as leftmost child of successor + self.link(curr_forest[i + 1], curr_forest[i]) + # remove node from top-list + curr_forest = curr_forest[i + 1:] + linkCount += 1 + + while i > 0: + # link predecessor as parent of current node + self.link(curr_forest[i - 1], curr_forest[i]) + curr_forest = curr_forest[:i] + linkCount += 1 + i = i - 1 + self.forest = curr_forest + assert len(self.forest) == 1 + self.minNode = self.forest[0] + assert (fs - 1 == linkCount) + return (compCount, linkCount) + + + def decrease_key(self, node, diff): + """removes node with subtree from current position; + decreases key; places node in root list.""" + assert node is not None + node.key = node.key - diff + # concatenates node to list of trees in pool + + if node.parent is None: # node is a root and has children + if node in self.forest: + pass # leave in-place + else: + self.listPreOrder() + raise Exception("node with key {} is not in heap".format(node.key)) + else: # node is not a root + + if node.nextSibling == node: # node has no siblings + node.parent.rightChild = None + + else: # node has siblings + current = node.nextSibling + while current.nextSibling != node: # find predecessor of node + current = current.nextSibling + current.nextSibling = node.nextSibling + if node.parent.rightChild == node: + node.parent.rightChild = current + + node.parent = None + node.nextSibling = node + self.forest += [node] + return (0, 0) -- GitLab