Automate tests, collecting and plotting the data.

Author: arunkumaraqm

AutomatingTests.py

@@ -0,0 +1,90 @@
+import sys
+from time import perf_counter as time
+from Graph import Graph, compute_mst_and_cost
+from LazyNaivePrims import prims_mst as lazy_naive_prims
+from EagerNaivePrims import prims_mst as eager_naive_prims
+from BinaryHeapPrims import prims_mst as binary_heap_prims
+from FibHeapPrims import prims_mst as fib_heap_prims
+from VisualizeMst import visualize
+import pandas as pd
+
+choices = {"l": "lazy_naive_prims", 
+ "e": "eager_naive_prims", 
+ "b": "binary_heap_prims", 
+ "f": "fib_heap_prims"}
+
+representation_for_choice = {lazy_naive_prims: "matrix", 
+ eager_naive_prims: "matrix",
+ binary_heap_prims: "lists",
+ fib_heap_prims: "lists"} 
+
+def read_graph(grf, fname):
+try:
+with open(fname) as input_file:
+grf.read_from_file(input_file)
+
+except OSError:
+print("File not found. \nNote: For paths, use forward slash and enclose in double quotes.")
+exit()
+
+def generate_tests():
+from GraphGeneration import automated_tests
+limit = 999
+for density in [1, 2, 3]:
+lowest_nfverts = 2100
+highest_nfverts = 3500
+step = 100
+for nfverts in range(lowest_nfverts, highest_nfverts + 1, step):
+automated_tests(nfverts, density, limit)
+print(f"Completed {nfverts, density, limit}.")
+
+generate_tests()
+def implement(implementation_choice, grf):
+duration = {'l': None, 'e': None, 'b': None, 'f': None}
+
+for choice in implementation_choice:
+prims_str = choices[choice]
+prims = eval(prims_str)
+
+if representation_for_choice[prims] == 'lists':
+grf.matrix_to_lists()
+else:
+grf.lists_to_matrix()
+
+start = time()
+precursor = prims(grf)
+end = time()
+
+duration[choice] = int((end - start) * 10**(9))
+
+return duration
+
+def run_all_prims(fname):
+grf = Graph(representation = "matrix")
+read_graph(grf, fname)
+adj_mat = grf.graph
+duration = implement("ebf", grf)
+return duration
+
+
+def time_tests():
+limit = 999
+for density in [1, 2, 3]:
+mylist = []
+lowest_nfverts = 2100
+highest_nfverts = 3500
+step = 100
+for nfverts in range(lowest_nfverts, highest_nfverts + 1, step):
+fname = f"Tests/Mode {density}/Graph Test ({nfverts}, {density}, {limit}).txt"
+duration = run_all_prims(fname)
+print(f"{fname} complete.")
+mylist.append({'nfverts': nfverts,
+ 'l_duration': None,
+ 'e_duration': duration['e'],
+ 'b_duration': duration['b'],
+ 'f_duration': duration['f']})
+df = pd.DataFrame(mylist, columns = ['nfverts', 'l_duration', 'e_duration', 'b_duration', 'f_duration'])
+df.to_csv(f"Tests/Durations (({lowest_nfverts}, {highest_nfverts}, {step}), {density}, {limit}).csv")
+
+
+time_tests()

Tests/Comparing Eager Naive, Binary Heap and Fib Heap for Large Input Sizes.png

@@ -0,0 +1,21 @@
+,nfverts,l_duration,e_duration,b_duration,f_duration
+0,10,145658,78553,178422,277896
+1,20,797769,267632,547108,815926
+2,30,2204621,637898,1675670,1610933
+3,40,5058194,864085,1411194,2196331
+4,50,13656415,1289219,1944487,2859098
+5,60,20441200,1500010,2250410,3298444
+6,70,32770105,1901461,2608834,3975818
+7,80,48051269,2527123,3222655,4627927
+8,90,98402290,3078574,3890555,5500303
+9,100,181722367,3637526,4637402,6110570
+10,110,175541534,4378057,4978062,7398212
+11,120,160771557,6207281,5739515,7906635
+12,130,168704247,6061228,6368731,10076914
+13,140,335479402,7029919,7125446,9919808
+14,150,267020089,8211769,8362165,11575742
+15,160,481793618,9155198,9067170,12198246
+16,170,672744211,10253758,10961527,18422107
+17,180,386227531,11476661,10665077,14004575
+18,190,628294547,14492868,11803111,16295643
+19,200,1007268737,14032996,12442195,16150379

Tests/Comparing Eager Naive, Binary Heap and Fib Heap for Low Input Sizes.png

@@ -0,0 +1,21 @@
+,nfverts,l_duration,e_duration,b_duration,f_duration
+0,10,249080,117632,240000,399081
+1,20,1966988,723951,1818959,1697776
+2,30,4505557,659610,1078428,1758566
+3,40,12266536,1087113,1786592,2593834
+4,50,40316344,1361852,2010410,2930941
+5,60,105372604,7606239,8955853,4547796
+6,70,54839607,2561071,3444497,5331355
+7,80,114587802,3165416,3963975,5828332
+8,90,163829212,4076872,4746350,6503731
+9,100,300993362,4796086,5597408,7487027
+10,110,356011391,5773067,7315711,8836643
+11,120,501907185,7374526,8209402,10114415
+12,130,1141761684,7862819,8469139,12894173
+13,140,716249656,16355250,27914806,37878431
+14,150,587178855,10640997,10346127,13778783
+15,160,751355831,12265746,11621926,14878923
+16,170,1926223939,13603520,12854697,26434928
+17,180,1047325342,17551705,14941687,19891328
+18,190,1831116145,20982783,23384775,24782941
+19,200,2633791296,24302939,22195423,26117162

Tests/Comparing Lazy Naive, Eager Naive, Binary Heap and Fib Heap for Low Input Sizes.png

@@ -0,0 +1,21 @@
+,nfverts,l_duration,e_duration,b_duration,f_duration
+0,10,280659,128289,252237,398292
+1,20,1584880,467766,666714,1109613
+2,30,11075606,921717,1218956,2010804
+3,40,20959492,1428563,1889618,2743046
+4,50,26030714,1893171,3002390,5141088
+5,60,78595436,2990152,3652921,5017931
+6,70,132971224,3586211,4821746,10051652
+7,80,144220122,5180562,5891489,8561114
+8,90,229810742,5957805,6999130,9484804
+9,100,338650739,7309395,8225191,11527978
+10,110,456077906,8581246,9733885,12884698
+11,120,749154764,10818630,13573914,20622779
+12,130,745431974,11821268,12643907,16382881
+13,140,826917695,13455885,13956416,19114875
+14,150,1258267527,16618540,16437354,20710413
+15,160,1296783859,18295790,18488028,23092272
+16,170,3598164066,19639484,19626852,36722238
+17,180,2095567271,24117411,21503445,26350848
+18,190,1861245837,24285175,23680829,28983366
+19,200,4732366879,44602033,26085977,31205751

Tests/Durations ((10, 200, 10), 1, 999).csv

@@ -0,0 +1,52 @@
+,nfverts,l_duration,e_duration,b_duration,f_duration
+0,250,,21033705,18546844,22455952
+1,300,,30875749,22700690,28415731
+2,350,,42188200,29756661,38140143
+3,400,,54559737,36317235,44475322
+4,450,,69551950,62582820,52628275
+5,500,,85731541,51337871,61520972
+6,550,,105464974,60400306,74957121
+7,600,,125016431,69169843,83503630
+8,650,,143191825,77625956,93919626
+9,700,,170547681,89909861,104649441
+10,750,,192572182,99460193,118737306
+11,800,,220698570,113551610,136030062
+12,850,,250722867,123738658,149558187
+13,900,,275118570,138614424,155571651
+14,950,,312576604,150744774,177464309
+15,1000,,345818424,164671192,189878874
+16,1050,,387466224,222776481,201426589
+17,1100,,422204107,193040345,219016584
+18,1150,,450692472,211956269,235020121
+19,1200,,493136069,252538275,263293747
+20,1250,,545476973,253118937,278377147
+21,1300,,583939620,275472257,288650641
+22,1350,,650279968,276781214,301069153
+23,1400,,682932441,296391881,332001743
+24,1450,,719543760,329958966,342600900
+25,1500,,777485232,406493073,370985053
+26,1550,,855521718,499530457,472338813
+27,1600,,1106340507,464886522,505194971
+28,1650,,1161004850,519622314,516021102
+29,1700,,1279265311,511039488,565922516
+30,1750,,1281997304,566797260,635128674
+31,1800,,1346984879,562346568,607775583
+32,1850,,1464640598,636282104,692163035
+33,1900,,1523191154,647911135,693235938
+34,1950,,1698787952,670749197,697828339
+35,2000,,1684685876,707863017,750773985
+36,2100,,1911987652,777566152,950319641
+37,2200,,2177237334,848693905,981536840
+38,2300,,2246175860,879326495,989870585
+39,2400,,2460547148,1000699874,1014815765
+40,2500,,2677984773,1060905178,1208820064
+41,2600,,3008512166,1188408862,1189769925
+42,2700,,3162355648,1251118001,1277260428
+43,2800,,3366629494,1285765489,1434112616
+44,2900,,4006601231,1345739080,1735726114
+45,3000,,3794856936,1448438113,1680834795
+46,3100,,4738487317,1746961983,1812293772
+47,3200,,4376565883,1666263768,1788248599
+48,3300,,5004168450,1824610046,1872182101
+49,3400,,5010964289,1811409162,1908577496
+50,3500,,5387737015,1990566904,2128359877

Tests/Durations ((10, 200, 10), 2, 999).csv

@@ -0,0 +1,52 @@
+,nfverts,l_duration,e_duration,b_duration,f_duration
+0,250,,29721926,26002687,40915165
+1,300,,66271663,32433787,43642816
+2,350,,56355802,42450702,57786339
+3,400,,149119237,54715659,64607440
+4,450,,93435282,65188891,75045938
+5,500,,115130176,76842003,101382576
+6,550,,139708247,91288291,109616056
+7,600,,168161480,106508271,123578395
+8,650,,197229716,141267075,148388179
+9,700,,240625031,221108704,179606563
+10,750,,299736905,187772543,257028044
+11,800,,302786664,182547373,230514562
+12,850,,338866662,207775187,236059077
+13,900,,421051468,245152695,269458002
+14,950,,474770409,251260897,270880644
+15,1000,,467761412,276104629,293225674
+16,1050,,515158596,302899955,317302822
+17,1100,,739056531,383118956,432161812
+18,1150,,733429518,423458196,841861750
+19,1200,,814026680,483388367,491597767
+20,1250,,895396347,506570640,529671202
+21,1300,,941333392,652379589,627486515
+22,1350,,1047104683,560471950,625098339
+23,1400,,1106492481,616935912,650733524
+24,1450,,1227894281,639385153,695545166
+25,1500,,1258661478,682764677,757414690
+26,1550,,1336459935,737095071,807806767
+27,1600,,1617376440,848722720,851983270
+28,1650,,1535105189,813159831,949526607
+29,1700,,1632682077,893621993,930348180
+30,1750,,1710236193,937781919,978060366
+31,1800,,1869986165,960711953,1076303182
+32,1850,,1922948784,1036906187,1101187969
+33,1900,,2126498679,1078651095,1235137753
+34,1950,,2160807873,1134403735,1262466767
+35,2000,,2223896357,1222826612,1311191067
+36,2100,,2957267059,1538369684,2028148888
+37,2200,,2911234095,1638260145,1699583352
+38,2300,,3080756636,1629559687,1650099177
+39,2400,,3512171205,2453414992,1895022135
+40,2500,,3701578760,1928025137,2055611717
+41,2600,,3993502583,2190301245,2244560979
+42,2700,,4576593120,2142474583,2206433862
+43,2800,,4579254850,2343826566,2393634821
+44,2900,,4980294200,2663341117,3071580517
+45,3000,,5328538693,2840276080,2818419738
+46,3100,,5945546052,3440876480,4321320087
+47,3200,,6283314155,2880470056,3070877485
+48,3300,,6462374399,3020393832,3206779260
+49,3400,,7165159484,3575153109,4236331841
+50,3500,,8054336314,4015214847,4079180441

Tests/Durations ((10, 200, 10), 3, 999).csv

@@ -0,0 +1,52 @@
+,nfverts,l_duration,e_duration,b_duration,f_duration
+0,250,,40220028,30439168,35500519
+1,300,,50767077,41924514,48456667
+2,350,,67365092,54601975,62997692
+3,400,,98213211,68063781,83968633
+4,450,,111125540,83728632,98158736
+5,500,,142611952,101848368,114896094
+6,550,,167936873,143418800,140922467
+7,600,,198936965,146824221,186722140
+8,650,,233157345,173808231,211784954
+9,700,,281843750,224919522,214176680
+10,750,,335799141,222439768,243066495
+11,800,,361179718,300463227,337121124
+12,850,,503825224,326780523,377542468
+13,900,,555604810,387272803,808911249
+14,950,,625375447,464635861,449398514
+15,1000,,683909817,457019360,501935211
+16,1050,,833364583,574802579,554094535
+17,1100,,825729923,543921699,597710510
+18,1150,,987494251,595647995,640931743
+19,1200,,1012290219,646687048,685876411
+20,1250,,1066696008,882055330,801040534
+21,1300,,1164477770,735542954,820078434
+22,1350,,1244247163,1171944271,892571591
+23,1400,,1377261415,845738882,964742639
+24,1450,,1454386841,910525536,992253234
+25,1500,,1528432903,948807393,1050020625
+26,1550,,1665639291,1026769666,1142048660
+27,1600,,1742247214,1125884858,1254442893
+28,1650,,1858091078,1171354924,1257105018
+29,1700,,1970404786,1237103163,1390392035
+30,1750,,2113756482,1281041243,1457372652
+31,1800,,2257312256,1458573449,1456623041
+32,1850,,2365337118,1467848648,1530688840
+33,1900,,2512921607,1541925895,1621721341
+34,1950,,2703906542,1635337887,1836519738
+35,2000,,2752491103,1688314718,1825878344
+36,2100,,3311358437,1913346740,1942844848
+37,2200,,3532758065,2095255821,2139118507
+38,2300,,3606802154,2195488519,2486166940
+39,2400,,4021865816,2440196343,2535991378
+40,2500,,4277264374,2975164557,3021186468
+41,2600,,5054102627,2877830431,2976782594
+42,2700,,5209673491,3073317372,3241623327
+43,2800,,5557086662,3397759062,3481610064
+44,2900,,5963882107,3914277537,3767582791
+45,3000,,6386540165,3915230044,3959705760
+46,3100,,7113031343,4023274642,4174392841
+47,3200,,7096133721,4287284842,4596605633
+48,3300,,8110113033,5032243917,4777852735
+49,3400,,8232187469,5460330041,5644397952
+50,3500,,8647543632,5003400682,5644257031