diff --git a/cpp/graph.hpp b/cpp/graph.hpp index 976589eda84764818941fa30e876f41fdf9fe8c2..4c85bc4c450b59a25961877987211b4bb3e511e7 100644 --- a/cpp/graph.hpp +++ b/cpp/graph.hpp @@ -32,6 +32,8 @@ typedef std::vector DiDegreeSequence; template< class RandomIt, class Compare > void insertionSort( RandomIt first, RandomIt last, Compare comp ) { + if (first == last) + return; for (RandomIt next = first;;) { RandomIt a = next; next++; @@ -39,16 +41,17 @@ void insertionSort( RandomIt first, RandomIt last, Compare comp ) { break; RandomIt b = next; auto newvalue = *next; - // next - // 1 2 3 4 5 6 4 - // a b - // a b - // a b - // a b + // next + // 1 2 3 4 5 6 4 + // a b + // 1 2 3 4 5 x 6 + // a b + // 1 2 3 4 x 5 6 + // a b + // 1 2 3 4 4 5 6 while (b != first && comp(newvalue, *a)) { // if newvalue < *a *b = *a; - a--; - b--; + b = a--; } *b = newvalue; } @@ -86,7 +89,7 @@ class Graph { // When the degree sequence is not graphics, the Graph can be // in any state, it is not neccesarily empty - bool createFromDegreeSequence(const DegreeSequence &d) { + bool createFromDegreeSequence(const DegreeSequence &d, bool slowSort = false) { // Havel-Hakimi algorithm // Based on Erdos-Gallai theorem @@ -102,16 +105,21 @@ class Graph { // Clear the graph reset(n); + // First use general sorting algorithm + std::sort( + degrees.begin(), degrees.end(), + [](const auto &p1, const auto &p2) { return p1.first < p2.first; }); + while (!degrees.empty()) { - insertionSort(degrees.begin(), degrees.end(), - [](const auto& p1, const auto& p2) { - return p1.first < p2.first; - }); // Highest degree is at back of the vector // Take it out unsigned int degree = degrees.back().first; unsigned int u = degrees.back().second; degrees.pop_back(); + // In the end, all remaining degrees are zero + if (degree == 0) { + break; + } if (degree > degrees.size()) { return false; } @@ -124,6 +132,20 @@ class Graph { rit->first--; ++rit; } + // To compare influence of sorting methods + if (slowSort) { + // Re-sort using general sort + std::sort(degrees.begin(), degrees.end(), + [](const auto &p1, const auto &p2) { + return p1.first < p2.first; + }); + } else { + // Re-sort using insertion sort + insertionSort(degrees.begin(), degrees.end(), + [](const auto &p1, const auto &p2) { + return p1.first < p2.first; + }); + } } return true; } diff --git a/cpp/graph_ccm.hpp b/cpp/graph_ccm.hpp index 722389df1d432543e97ffd4c026d8af4b2fabd5d..381d2040dcdc6a751f784c5823ca8171917d8ece 100644 --- a/cpp/graph_ccm.hpp +++ b/cpp/graph_ccm.hpp @@ -23,6 +23,13 @@ bool constrainedConfigurationModel(DegreeSequence &ds, Graph &g, RNG &rng, degrees[i].second = i; } + // This should make the random pairing faster + // More likely to pair up with something at the end of an array + // So erasing that element from the array then requires less moves + std::sort( + degrees.begin(), degrees.end(), + [](const auto &p1, const auto &p2) { return p1.first < p2.first; }); + // remaining half-edges , iterator into `degrees` std::vector> available; available.reserve(n); @@ -76,13 +83,16 @@ bool constrainedConfigurationModel(DegreeSequence &ds, Graph &g, RNG &rng, unsigned int halfEdge = distr(rng); unsigned int cumulative = 0; auto vIter = uIter; - for (auto iter = available.begin(); iter != available.end(); + // Reverse has higher probability to be fast because high + // degrees are near the end + for (auto iter = available.rbegin(); iter != available.rend(); ++iter) { cumulative += iter->first; if (halfEdge <= cumulative) { vIter = iter->second; availableEdges -= iter->first; - available.erase(iter); + // Reverse iterators are tricky + available.erase(std::next(iter).base()); break; } } @@ -107,7 +117,9 @@ bool constrainedConfigurationModel(DegreeSequence &ds, Graph &g, RNG &rng, auto vIter = uIter; unsigned int halfEdge = distr(rng); unsigned int cumulative = 0; - for (auto iter = available.begin(); iter != available.end(); + // Reverse has higher probability to be fast because high degrees + // are near the end + for (auto iter = available.rbegin(); iter != available.rend(); ++iter) { cumulative += iter->first; if (halfEdge <= cumulative) { diff --git a/cpp/switchchain_ccm_cputime.cpp b/cpp/switchchain_ccm_cputime.cpp index 430bbe9ddb79c213cf34b8f5857785958c8824f0..79016ad59460a1dde877a4cd124d048e8dd0e608 100644 --- a/cpp/switchchain_ccm_cputime.cpp +++ b/cpp/switchchain_ccm_cputime.cpp @@ -13,12 +13,12 @@ int main(int argc, char* argv[]) { // Simulation parameters - const int numVerticesMin = 1000; - const int numVerticesMax = 1000; + const int numVerticesMin = 10000; + const int numVerticesMax = 10000; const int numVerticesStep = 1000; //float tauValues[] = {2.1f, 2.2f, 2.3f, 2.4f, 2.5f, 2.6f, 2.7f, 2.8f, 2.9f}; - float tauValues[] = {2.1f, 2.3f, 2.5f, 2.7f, 2.9f}; + float tauValues[] = {2.1f, 2.5f, 2.9f}; //const int totalDegreeSamples = 10; const int totalDegreeSamples = 1; @@ -53,6 +53,7 @@ int main(int argc, char* argv[]) { outfile << "3: HH timed triangle seq\n"; outfile << "4: {ccm1 failed attempts, timed triangle seq}\n"; outfile << "5: {ccm2 failed attempts, timed triangle seq}\n"; + outfile << "6: slow-sort-HH timed triangle seq\n"; outfile << "*)" << std::endl; // Mathematica does not accept normal scientific notation @@ -79,17 +80,16 @@ int main(int argc, char* argv[]) { << "). " << std::flush; SwitchChain chain; - if (!chain.initialize(g, true)) { - std::cerr << "Could not initialize Markov chain.\n"; - return 1; - } - std::vector> triangleSeq(mixingTime); { // record start time auto start = std::chrono::high_resolution_clock::now(); // Incorporate Havel-Hakimi time g.createFromDegreeSequence(ds); + if (!chain.initialize(g, true)) { + std::cerr << "Could not initialize Markov chain.\n"; + return 1; + } for (int i = 0; i < mixingTime; ++i) { auto now = std::chrono::high_resolution_clock::now(); std::chrono::duration dt = now - start; @@ -139,6 +139,26 @@ int main(int argc, char* argv[]) { outfile << ",{1000,{}}"; } + // Slow sort method + { + // record start time + auto start = std::chrono::high_resolution_clock::now(); + // Incorporate Havel-Hakimi time + g.createFromDegreeSequence(ds, true); + if (!chain.initialize(g, true)) { + std::cerr << "Could not initialize Markov chain.\n"; + return 1; + } + for (int i = 0; i < mixingTime; ++i) { + auto now = std::chrono::high_resolution_clock::now(); + std::chrono::duration dt = now - start; + triangleSeq[i] = + std::make_pair(dt.count(), chain.g.getTrackedTriangles()); + chain.doMove(true); + } + } + outfile << ',' << triangleSeq; + outfile << '}' << std::flush; std::cout << " Finished timed CCM time evols." << std::flush; diff --git a/plots/timeevol_ccm.pdf b/plots/timeevol_ccm.pdf index 01a2352d66256cddea8c647806278a125615b22b..a3e729b0d97b475727f6759365ca8199dff0e6ed 100644 GIT binary patch delta 25411 zcmV((K;XZ!&jXg-0gz08wY^ENb~%zBwm-k(F0&2P)!|G6wigBr0|LB|y8tf=y^ufk zU?H;wb=&aYHzVSCg26XSsYyH7&HI#^M02;>pQ>R@AmdF+Wup_YpnA1 zzx^*?|K{JnU;p^8Px?+RfBipC{`$Ai`}H56KmFY<^?v<_r+nvs_VvGhjr#qruaxKa zEcxpffz#Y@{T_LI{VZ^9f_T5@N`@$2?{sTKQV-`z=ji`D6c{`TK7B zZO_+wzk4b`%=$HdCr8!3bI)IMeAj{B<-=zC?j66^w9D_WDf8nh+#@DDQu`X~yQB_yuIFn^8JQtwFJEKqflY(go|e(~z_ddDezSJ_5?ocMccXuP z1hLm@l<(G>{Vw%}&p`j)A3D;W(qW){&xT7cfY)wbcF%l&4AI6{Uwd9rzSkyjN!j3$ 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zybm<`cNHGW0sK=BUMP&`!BqSAWS}r8_n#Uc&x7mtM;x3N^5+%v!g+cA"plots/timeevol_ccm_log.pdf",plot1log] (*New code with CPU time*) -getCombinedTimeData[run_]:=Module[{maxTime,skipPts,hhData,ccm1Data,ccm2Data}, +getCombinedTimeData[run_]:=Module[{maxTime,skipPts,avg,hhData,ccm1Data,ccm2Data,hhSlowData,line1,line2,line3,line4,lineAvg}, maxTime=Length[run[[3]]]; skipPts=Max[1,Round[maxTime/500]]; - -hhData= {{0,run[[3,1,2]]}}~Join~run[[3,1;;-1;;skipPts]]; -ccm1Data={{0,run[[4,2,1,2]]}}~Join~run[[4,2,1;;-1;;skipPts]]; -ccm2Data={{0,run[[5,2,1,2]]}}~Join~run[[5,2,1;;-1;;skipPts]]; - -{Legended[hhData,"\[Tau] = "<>ToString[run[[1,2]]]],ccm1Data,ccm2Data} +avg=Mean[run[[3,Floor[(1/2)*Length[run[[3]]]];;-1,2]]]; + +hhData= run[[3,1;;-1;;skipPts]]; +(*ccm1Data=run[[4,2,1;;-1;;skipPts]];*) +ccm2Data=run[[5,2,1;;-1;;skipPts]]; +hhSlowData=run[[6,1;;-1;;skipPts]]; +line1={{0,run[[3,1,2]]},run[[3,1]]}; +line2={{0,run[[4,2,1,2]]},run[[4,2,1]]}; +line3={{0,run[[5,2,1,2]]},run[[5,2,1]]}; +line4={{0,run[[6,1,2]]},run[[6,1]]}; +lineAvg={{0,avg},{3*run[[3,-1,1]],avg}}; + +{Legended[hhData,"\[Tau] = "<>ToString[run[[1,2]]]], +(*ccm1Data,*) +ccm2Data, +hhSlowData, +line1, +(*line2,*) +line3, +line4, +lineAvg} ] -dataSets=Map[getCombinedTimeData,gdata,{3}]; - - -dataSetsFlattened=Flatten[dataSets,3]; -colorList=Table[ColorData[97,"ColorList"][[1+Floor[i/3]]],{i,0,Length[dataSetsFlattened]-1}]; - - -ListPlot[dataSetsFlattened[[1;;3]],Joined->True,PlotRange->All] - +getStartPoints[run_]:={run[[3,1]],run[[5,2,1]],run[[6,1]]}; +getLogScaleStartPoints[run_]:={{run[[3,1,1]],Log[run[[3,1,2]]]},{run[[5,2,1,1]],Log[run[[5,2,1,2]]]},{run[[6,1,1]],Log[run[[6,1,2]]]}}; -z2 - - -plot1=ListPlot[dataSetsFlattened,Joined->True,PlotRange->{All,All},PlotStyle->colorList,ImageSize->300,PlotLabel->nlabels[[1]],Frame->True,FrameLabel->{"seconds","number of triangles"}] +dataSets=Map[getCombinedTimeData,gdata,{3}]; +startPoints=Map[getStartPoints,gdata,{3}]; +logScaleStartPoints=Map[getLogScaleStartPoints,gdata,{3}]; + + +dataSetsFlattened=Flatten[dataSets,2]; +styleList=Table[{ +Directive[Dashing[None],ColorData[97,"ColorList"][[i]]], +Directive[Dashing[None],ColorData[97,"ColorList"][[i]]], +Directive[Dashing[None],ColorData[97,"ColorList"][[i]]], +Directive[Dashed,ColorData[97,"ColorList"][[i]]], +Directive[Dashed,ColorData[97,"ColorList"][[i]]], +Directive[Dashed,ColorData[97,"ColorList"][[i]]], +Directive[Dashing[None],Black,Thin] +},{i,1,Length[dataSetsFlattened]}]; +dataSetsFlattened=Flatten[dataSetsFlattened,1]; +styleList=Flatten[styleList,1]; +pointList={Red,PointSize[Medium],Point[Flatten[startPoints,3]]}; +logPointList={Red,PointSize[Medium],Point[Flatten[logScaleStartPoints,3]]}; + + +plot1=ListPlot[dataSetsFlattened,Joined->True,PlotRange->{{0,0.55},All},PlotStyle->styleList,Epilog->pointList,ImageSize->300,PlotLabel->nlabels[[1]],Frame->True,FrameLabel->{"seconds","number of triangles"}] +plot1log=ListLogPlot[dataSetsFlattened,Joined->True,PlotRange->{{0,0.55},All},PlotStyle->styleList,Epilog->logPointList,ImageSize->300,PlotLabel->nlabels[[1]],Frame->True,FrameLabel->{"seconds","number of triangles"}] Export[NotebookDirectory[]<>"plots/timeevol_ccm.pdf",plot1]