diff --git a/triangle_gcm_initial_analysis.m b/triangle_gcm_initial_analysis.m new file mode 100644 index 0000000000000000000000000000000000000000..3144fde4c5d8d35253d9c60ae270b2e62bcb80b1 --- /dev/null +++ b/triangle_gcm_initial_analysis.m @@ -0,0 +1,83 @@ +(* ::Package:: *) + +Needs["ErrorBarPlots`"] + + +(* ::Section:: *) +(*Data import*) + + +gsraw=Import[NotebookDirectory[]<>"data/graphdata_initialtris.m"]; +(* gsraw=SortBy[gsraw,{#[[1,1]]&,#[[1,2]]&}]; (* Sort by n and then by tau. The {} forces a *stable* sort because otherwise Mathematica sorts also on triangle count and other things. *) *) + + +gdata=GatherBy[gsraw,{#[[1,2]]&,#[[1,1]]&}]; +(* Data format: *) +(* gdata[[ tau index, n index, run index , datatype index ]] *) +(* datatype index: +1: {n,tau} +2: avgtriangles when mixed +3: {GCM1 starting triangle counts summed, GCM1 number of successes} +4: {GCM2 starting triangle counts summed, GCM2 number of successes} +*) +nlabels=Map["n = "<>ToString[#]&,gdata[[1,All,1,1,1]]]; +taulabels=Map["tau = "<>ToString[#]&,gdata[[All,1,1,1,2]]]; + + +(* ::Section:: *) +(*Greedy configuration model*) + + +(* ::Subsection:: *) +(*Distribution of initial #triangles for GCM1,GCM2,EG compared to average #triangles.*) + + + (* Consider all runs *) +getIt[x_,avg_]:=If[x[[2]]>=5, x[[1]]/x[[2]]/avg,-0.5] +getAverage[run_]:=Module[{avg}, + avg=20*run[[2]]; + If[avg>0, + { getIt[run[[3]],avg], getIt[run[[4]],avg] } + , {3,3}] +] +getTotalStats[runs_]:=Transpose[Map[getAverage,runs]]; +totalStats=Map[getTotalStats,gdata,{2}]; + + +(* Yellow: GCM1 (take new highest everytime *) +(* Blue: GCM2 (finish highest first, more similar to EG) *) +histogramsTotal=Map[Histogram[#,{0.05},PlotRange->{{-0.5,2},Automatic},ImageSize->300,AxesOrigin->{0,0}]&,totalStats,{2}]; + + +TableForm[histogramsTotal,TableHeadings->{taulabels,nlabels}] + + +(* ::Subsubsection:: *) +(*Exporting plots*) + + +tauIndices={2,5,8}; +nIndices={2}; +makeHistogram[datasets_,n_,tau_]:=Histogram[datasets,{0.05},PlotRange->{{-0.5,1.5},Automatic},ImageSize->300,AxesOrigin->{0,0}]; +histogramsTotal=Map[makeHistogram[#,1000,tau]&,totalStats[[tauIndices,nIndices]],{2}]; +TableForm[histogramsTotal,TableHeadings->{taulabels[[tauIndices]],nlabels[[nIndices]]}] + + +(* ::Subsection:: *) +(*GCM1 vs GCM2 success rates*) + + +(* gdata[[ tau index, n index, run index , {ntau, #tris, ds, greedyTriangles} ]] *) +successrates=Map[{#[[3,2]],#[[4,2]]}&,gdata,{3}]; +successrates=Map[Transpose,successrates,{2}]; +successratesDelta=Map[#[[3,2]]-#[[4,2]]&,gdata,{3}]; + +rateHistograms=Map[Histogram[#,{10},PlotRange->{{0,100},Automatic}]&,successrates,{2}]; +TableForm[rateHistograms,TableHeadings->{taulabels,nlabels}] + +rateHistograms=Map[Histogram[#,{10},PlotRange->{{-100,100},Automatic}]&,successratesDelta,{2}]; +TableForm[rateHistograms,TableHeadings->{taulabels,nlabels}] +(*TableForm[Transpose[rateHistograms],TableHeadings->{nlabels,taulabels}]*) + + +