diff --git a/code/CMakeLists.txt.user b/code/CMakeLists.txt.user index 86681f7..7a75b33 100644 --- a/code/CMakeLists.txt.user +++ b/code/CMakeLists.txt.user @@ -1,6 +1,6 @@ - + EnvironmentId diff --git a/competition/src/competition/data/car/wifiParams.txt b/competition/src/competition/data/car/wifiParams.txt index f684cd4..b1913ac 100644 --- a/competition/src/competition/data/car/wifiParams.txt +++ b/competition/src/competition/data/car/wifiParams.txt @@ -1,20 +1,20 @@ -E0:91:53:1B:36:F0,25.9334,38.9436,-0.0524627,-39.1386,3.49982,-9.36092 -00:0B:86:27:35:80,10.4727,31.8167,-2.71109,-35.0022,3.44592,-10.3489 -00:0B:86:27:35:90,90.3394,15.4303,2.04479,-49.8716,2.68872,-6.04702 -00:0B:86:27:3E:E0,6.17818,4.15351,0.139055,-35,3.4997,-5.7909 -00:90:4C:91:00:00,83.9248,11.7224,12.29,-49.9992,2.82737,-7.04282 -B8:A3:86:65:E3:20,4.69674,5.5026,0.464426,-40.543,3.49904,-7.30668 -1A:FE:34:9D:0D:20,31.2992,33.9625,0.145345,-41.5356,3.49953,-4.3978 -72:77:81:A4:9E:30,28.7311,38.3731,6.2193,-49.9932,3.21405,-5.31385 -A0:2B:B8:6E:F8:00,-5.31735,104.568,4.70765,-49.9934,2.06603,-9.35664 -00:80:2F:17:A2:B0,25.0241,36.8684,-0.150894,-45.8281,3.43221,-7.33956 -00:0B:86:27:3E:D0,36.061,33.8152,0.0645585,-40.771,3.49971,-6.54765 -00:80:2F:19:26:70,27.4261,37.3301,0.866323,-49.9991,3.08838,-5.47872 -82:B6:BE:58:5C:50,62.9964,33.7411,0.140919,-49.9989,2.72436,-9.15091 -00:0B:86:27:36:C0,53.7462,27.6526,-0.0873488,-36.7065,3.27317,-5.56178 -00:0B:86:27:32:E0,63.4623,32.099,-0.0429999,-49.9917,2.4404,-9.97059 -00:0B:86:27:35:10,34.2176,6.17748,-0.0693621,-41.6553,3.49999,-6.08537 -00:0B:86:27:3E:80,18.4034,22.1678,1.00951,-38.4197,3.49124,-9.24767 -00:0B:86:27:37:B0,30.3648,26.754,1.16354,-42.6981,3.4995,-5.50056 -00:0B:86:27:45:B0,57.2717,7.33425,-0.164426,-39.1558,3.49748,-7.04232 -F8:8E:85:CF:2D:D0,39.8152,108.911,11.3717,-49.9954,2.12391,-7.82796 +E0:91:53:1B:36:F0,25.8999,38.9701,1.10956,-39.1205,3.5,-4.94459 +00:0B:86:27:35:80,10.5028,31.8707,3.95646,-35.0007,3.44512,-10.8759 +00:0B:86:27:35:90,90.372,15.2894,1.53025,-49.9994,2.68004,-6.94256 +00:0B:86:27:3E:E0,6.17656,4.05443,1.3057,-35.0028,3.49573,-7.25185 +00:90:4C:91:00:00,83.9013,11.7317,13.5704,-49.9653,2.8296,-6.28655 +B8:A3:86:65:E3:20,4.68423,5.49643,1.03361,-40.5158,3.49879,-9.26018 +1A:FE:34:9D:0D:20,31.2849,33.9562,1.23252,-41.5591,3.49978,-5.89092 +72:77:81:A4:9E:30,29.4428,36.2108,-0.636792,-49.9991,2.38446,-11.8965 +A0:2B:B8:6E:F8:00,-11.9492,96.7791,-1.79548,-49.9978,1.50672,-11.6318 +00:80:2F:17:A2:B0,24.9658,36.7921,1.58163,-46.6008,3.37182,-6.0539 +00:0B:86:27:3E:D0,36.0543,33.7532,1.24904,-40.7008,3.49971,-6.08534 +00:80:2F:19:26:70,27.3932,36.9894,-0.00116745,-41.2201,2.92455,-10.9093 +82:B6:BE:58:5C:50,62.5578,31.2947,-0.00236711,-49.4869,2.16555,-8.86118 +00:0B:86:27:36:C0,53.766,27.6455,0.968536,-36.6346,3.27684,-7.32646 +00:0B:86:27:32:E0,63.4204,32.082,1.35965,-49.9944,2.44058,-8.94785 +00:0B:86:27:35:10,34.2133,6.21805,1.27939,-41.6772,3.49991,-6.69982 +00:0B:86:27:3E:80,18.2714,22.2452,0.990597,-39.2623,3.42874,-9.27818 +00:0B:86:27:37:B0,30.4014,26.7286,2.53775,-42.694,3.4999,-5.34677 +00:0B:86:27:45:B0,57.2736,7.33802,1.17219,-39.0982,3.49899,-6.02998 +F8:8E:85:CF:2D:D0,40.8893,107.896,-11.7498,-49.9764,1.35164,-15.5905 diff --git a/competition/src/competition/filter/Logic.h b/competition/src/competition/filter/Logic.h index d75af8c..0c3c1a0 100644 --- a/competition/src/competition/filter/Logic.h +++ b/competition/src/competition/filter/Logic.h @@ -29,7 +29,7 @@ // MyWalkState(const GridPoint& gp, const Heading head, const float relativePressure) : WalkState(gp), WalkStateHeading(head, 0), WalkStateRelativePressure(relativePressure) {;} //}; -const bool barometer = true; +const bool barometer = false; struct MyNode : public GridPoint, public GridNode, public GridNodeImportance { @@ -120,7 +120,7 @@ struct PFTrans : public K::ParticleFilterTransition { PFTrans(Grid& grid, MyControl* ctrl) : grid(grid), modHead(ctrl, 4.5f), modButterActPerc(ctrl) {//, modPressure(ctrl, 0.100) { walker.addModule(&modHead); - //walker.addModule(&modSpread); // might help in some situations! keep in mind! + walker.addModule(&modSpread); // might help in some situations! keep in mind! //walker.addModule(&modHeadUgly); walker.addModule(&modImportance); @@ -162,7 +162,7 @@ struct PFTrans : public K::ParticleFilterTransition { /** stell sicher, das er die treppe läuft, auch wenn kein step erkannt wurde*/ if(node.getType() == 1){ - dist = control->numSteps * 0.4 + 0.6; // * varUpDown * (control->barometer.actProbs.stairsDown > control->barometer.actProbs.stairsUp ? control->barometer.actProbs.stairsDown : control->barometer.actProbs.stairsUp); //* wahrscheinlichkeit treppe + dist = control->numSteps * 0.4 + 0.4; // * varUpDown * (control->barometer.actProbs.stairsDown > control->barometer.actProbs.stairsUp ? control->barometer.actProbs.stairsDown : control->barometer.actProbs.stairsUp); //* wahrscheinlichkeit treppe } } @@ -351,13 +351,17 @@ struct BFTrans : public K::BackwardFilterTransition { double diffDeg = Angle::radToDeg(diffRad); double angularChange = Angle::radToDeg(p2->state.refTurnAngle); - const double headingProb = Distribution::Normal::getProbability(angularChange, 5.0, diffDeg); + double headingProb = Distribution::Normal::getProbability(angularChange, 5.0, diffDeg); //check how near we are to the measurement double diffZ = (p2->state.position.z_cm - p1->state.position.z_cm) / 100.0; - const double floorProb = Distribution::Normal::getProbability(muFloor, sigmaFloor, diffZ); + double floorProb = Distribution::Normal::getProbability(muFloor, sigmaFloor, diffZ); + if(!barometer){ + floorProb = 1.0; + actProb = 1.0; + } //combine the probabilities double prob = distProb * headingProb * floorProb * actProb; @@ -541,12 +545,17 @@ struct PFEval : public K::ParticleFilterEvaluation { // //Wenn partikel noch auf treppe, dann sollte das hier etwas höher sein, wenn aber nicht mehr... sehr sehr klein! // if (observation.act == ActivityButterPressure::Activity::STAY){ // return observation.actProbs.stay * 0.5; +// } + float curTS = observation.curTS; + +// if(curTS > 460000 && curTS < 540000){ +// return 1.0; // } if (deltaZ_cm > 0){return observation.actProbs.stairsDown;} if (deltaZ_cm < 0){return observation.actProbs.stairsUp;} - return 0.8 * observation.actProbs.stairsDown > observation.actProbs.stairsUp ? observation.actProbs.stairsDown : observation.actProbs.stairsUp; + return 0.7 * observation.actProbs.stairsDown > observation.actProbs.stairsUp ? observation.actProbs.stairsDown : observation.actProbs.stairsUp; } @@ -556,12 +565,20 @@ struct PFEval : public K::ParticleFilterEvaluation { // //Wenn partikel noch im aufzug, dann sollte das hier etwas höher sein, wenn aber nicht mehr... sehr sehr klein! // if (observation.act == ActivityButterPressure::Activity::STAY){ // return observation.actProbs.stay * 0.5; +// } + +// if(observation.actProbs.stairsDown > observation.actProbs.elevatorDown){ +// return observation.actProbs.stairsDown; +// } + +// if(observation.actProbs.stairsUp > observation.actProbs.elevatorUp){ +// return observation.actProbs.stairsUp; // } if (deltaZ_cm > 0){return observation.actProbs.elevatorDown;} if (deltaZ_cm < 0){return observation.actProbs.elevatorUp;} - return 0.8 * observation.actProbs.elevatorDown > observation.actProbs.elevatorUp ? observation.actProbs.elevatorDown : observation.actProbs.elevatorUp; + return 0.7 * observation.actProbs.elevatorDown > observation.actProbs.elevatorUp ? observation.actProbs.elevatorDown : observation.actProbs.elevatorUp; } return 1.0; @@ -599,7 +616,7 @@ struct PFEval : public K::ParticleFilterEvaluation { _assertNot0(pBaroPercent,"pBaroPercent is null"); - return pWifi*pGps*pBaroPercent*pBaroPressure; + return pWifi*pGps*pBaroPressure*pBaroPercent; } virtual double evaluation(std::vector>& particles, const MyObs& observation) override { diff --git a/competition/src/competition/filter/WiFi.h b/competition/src/competition/filter/WiFi.h index 581e8f8..426f46c 100644 --- a/competition/src/competition/filter/WiFi.h +++ b/competition/src/competition/filter/WiFi.h @@ -136,6 +136,10 @@ public: // high signal strength? higher sigma! const Timestamp age = curTS - ap.getTimestamp(); +// if(curTS.ms() > 460000 && curTS.ms() < 540000){ +// return 1.0; +// } + const float sigma = 11.0 + 1.2 * age.sec() + rssiSigma(scanRSSI); double apProb = Distribution::Normal::getProbability(modelRSSI, sigma, scanRSSI); diff --git a/competition/src/competition/main.cpp b/competition/src/competition/main.cpp index 6960b30..bbfb669 100755 --- a/competition/src/competition/main.cpp +++ b/competition/src/competition/main.cpp @@ -111,7 +111,7 @@ struct Data { DataSetup CAR = { - mapDir + "CAR/CAR9.xml", + mapDir + "CAR/CAR11.xml", { dataDir + "car/logfile_CAR_R1_S3.txt", @@ -134,7 +134,7 @@ struct Data { DataSetup UAH = { - mapDir + "UAH/UAH13_rawObstacles.xml", + mapDir + "UAH/UAH9.xml", { dataDir + "uah/logfile_UAH_R1_S3.txt", @@ -161,7 +161,7 @@ struct Data { DataSetup UJI_TI = { - mapDir + "UJI-TI/UJI-TI4.xml", + mapDir + "UJI-TI/UJI-TI5.xml", { dataDir + "uji-ti/logfile_UJITI_R1_NEXUS5.txt", @@ -300,23 +300,23 @@ void run(DataSetup setup, int numFile, std::string folder) { // // build the grid Grid grid(20); -// GridFactory factory(grid); -// factory.build(map); + GridFactory factory(grid); + factory.build(map); // std::filebuf fb; -// fb.open (dataDir + "uah/grid13",std::ios::out); +// fb.open (dataDir + "car/grid10",std::ios::out); // std::ostream os(&fb); // grid.write(os); // fb.close(); - std::filebuf fb; - if (fb.open (dataDir + "uah/grid13",std::ios::in)) - { - std::istream is(&fb); - grid.read(is); - } - fb.close(); +// std::filebuf fb; +// if (fb.open (dataDir + "car/grid10",std::ios::in)) +// { +// std::istream is(&fb); +// grid.read(is); +// } +// fb.close(); Importance::addImportance(grid); @@ -367,8 +367,8 @@ void run(DataSetup setup, int numFile, std::string folder) { pf.setTransition(std::unique_ptr(new PFTrans(grid, &ctrl))); pf.setEvaluation(std::unique_ptr(eval)); - pf.setResampling(std::unique_ptr>(new K::ParticleFilterResamplingSimple())); - //pf.setResampling(std::unique_ptr>(new K::ParticleFilterResamplingPercent(0.04))); + //pf.setResampling(std::unique_ptr>(new K::ParticleFilterResamplingSimple())); + pf.setResampling(std::unique_ptr>(new K::ParticleFilterResamplingPercent(0.04))); pf.setNEffThreshold(0.5); //pf.setEstimation(std::unique_ptr>(new K::ParticleFilterEstimationWeightedAverage())); @@ -440,6 +440,8 @@ void run(DataSetup setup, int numFile, std::string folder) { std::ofstream errorFileSmoothing; errorFileSmoothing.open ("/home/toni/Documents/programme/localization/IPIN2016/competition/eval/"+ folder + "/errorSmoothing_" + std::to_string(numFile) + "_" + std::to_string(t) + ".csv"); + std::ofstream baro; + baro.open("/tmp/bar2.dat"); MovingAVG hPaRef(20); MovingAVG hPaCur(5); @@ -480,6 +482,9 @@ void run(DataSetup setup, int numFile, std::string folder) { relBaro.add(ts, fr.getBarometer()[e.idx].data); //baroTend.add(ts, fr.getBarometer()[e.idx].data); //std::cout << "add tendence" << std::endl; + + baro << ms << " " << fr.getBarometer()[e.idx].data.hPa << "\n"; + ctrl.barometer.hPaRelativeToT0 = relBaro.getPressureRealtiveToStart(); ctrl.barometer.estimatedSigma = relBaro.getSigma(); ctrl.barometer.tendence = baroTend.get(); @@ -522,6 +527,15 @@ void run(DataSetup setup, int numFile, std::string folder) { } + //testing a dynamical n_eff + if(obs.act != ActivityButterPressure::Activity::STAY){ + pf.setNEffThreshold(0.5); + } + else{ + pf.setNEffThreshold(1.0); + } + + /** baro for eval test */ // hPaHist.push_back(fr.getBarometer()[e.idx].data.hPa); @@ -594,7 +608,7 @@ void run(DataSetup setup, int numFile, std::string folder) { plot.setEst(estPos); plot.setGT(mapPos); plot.addEstimationNode(estPos); - //plot.addParticles(pf.getParticles()); + plot.addParticles(pf.getParticles()); //plot.gp << "set arrow 919 from " << tt.pos.x << "," << tt.pos.y << "," << tt.pos.z << " to "<< tt.pos.x << "," << tt.pos.y << "," << tt.pos.z+1 << "lw 3\n"; //plot.gp << "set label 1001 at screen 0.02, 0.98 'base:" << relBaro.getBaseAvg() << " sigma:" << relBaro.getSigma() << " cur:" << relBaro.getPressureRealtiveToStart() << " hPa " << -relBaro.getPressureRealtiveToStart()/0.10/4.0f << " floor'\n"; @@ -614,7 +628,7 @@ void run(DataSetup setup, int numFile, std::string folder) { errorFile << err_m << "\n"; plot.show(); - usleep(100*100); + usleep(100*10); lastUpdateMS = ms; @@ -628,6 +642,7 @@ void run(DataSetup setup, int numFile, std::string folder) { errorFile.close(); + baro.close(); // Smoothing Part starts here // ========================= // @@ -716,7 +731,7 @@ void run(DataSetup setup, int numFile, std::string folder) { int main(int argc, char** argv) { - for(int i = 0; i < 11; ++i){ + for(int i = 0; i < 10; ++i){ @@ -744,14 +759,14 @@ int main(int argc, char** argv) { //Evaluation files // run(data.UJI_TI, 2, "EVAL"); // 1 no Baro -// run(data.UJI_UB, 5, "EVAL"); // 2 - run(data.UAH, 6, "EVAL"); // 3 + run(data.UJI_UB, 5, "EVAL"); // 2 +// run(data.UAH, 6, "EVAL"); // 3 // run(data.UJI_TI, 3, "EVAL"); // 4 no Baro // run(data.UAH, 7, "EVAL"); // 5 // run(data.CAR, 4, "EVAL"); // 6 // run(data.UAH, 8, "EVAL"); // 7 // run(data.UAH, 9, "EVAL"); // 8 -// run(data.CAR, 5, "EVAL2"); // 9 +// run(data.CAR, 5, "EVAL"); // 9 } diff --git a/competition/src/competition/map/CAR/CAR9.xml b/competition/src/competition/map/CAR/CAR9.xml index 082c325..91d8804 100644 --- a/competition/src/competition/map/CAR/CAR9.xml +++ b/competition/src/competition/map/CAR/CAR9.xml @@ -273,7 +273,7 @@ - + diff --git a/competition/src/competition/map/UAH/UAH9.xml b/competition/src/competition/map/UAH/UAH9.xml index c89a1b9..b26412e 100644 --- a/competition/src/competition/map/UAH/UAH9.xml +++ b/competition/src/competition/map/UAH/UAH9.xml @@ -137,6 +137,20 @@ + + + + + + + + + + + + + + @@ -282,6 +296,20 @@ + + + + + + + + + + + + + + @@ -427,6 +455,20 @@ + + + + + + + + + + + + + + diff --git a/competition/src/competition/map/UJI-TI/UJI-TI4.xml b/competition/src/competition/map/UJI-TI/UJI-TI4.xml index 43ebdd3..6013367 100644 --- a/competition/src/competition/map/UJI-TI/UJI-TI4.xml +++ b/competition/src/competition/map/UJI-TI/UJI-TI4.xml @@ -40,7 +40,7 @@ - + @@ -113,7 +113,7 @@ - + @@ -187,7 +187,7 @@ - + diff --git a/presentation/beamercolorthememetropolis.sty b/presentation/beamercolorthememetropolis.sty new file mode 100644 index 0000000..026c5fe --- /dev/null +++ b/presentation/beamercolorthememetropolis.sty @@ -0,0 +1,129 @@ +%% +%% This is file `beamercolorthememetropolis.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% beamercolorthememetropolis.dtx (with options: `package') +%% --------------------------------------------------------------------------- +%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of +%% contributors can be found at +%% +%% https://github.com/matze/mtheme/graphs/contributors +%% +%% and the original template was based on the HSRM theme by Benjamin Weiss. +%% +%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 +%% International License (https://creativecommons.org/licenses/by-sa/4.0/). +%% --------------------------------------------------------------------------- +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{beamercolorthememetropolis} + [2015/06/12 A Modern Beamer Color Theme] +\RequirePackage{pgfopts} +\pgfkeys{ + /metropolis/color/block/.cd, + .is choice, + transparent/.code=\@metropolis@block@transparent, + fill/.code=\@metropolis@block@fill, +} +\pgfkeys{ + /metropolis/color/background/.cd, + .is choice, + dark/.code=\@metropolis@colors@dark, + light/.code=\@metropolis@colors@light, +} +\newcommand{\@metropolis@color@setdefaults}{ + \pgfkeys{/metropolis/color/.cd, + background=light, + block=transparent, + } +} +\definecolor{mDarkBrown}{HTML}{604c38} +\definecolor{mDarkTeal}{HTML}{23373b} +\definecolor{mLightBrown}{HTML}{EB811B} +\definecolor{mLightGreen}{HTML}{14B03D} +\newcommand{\@metropolis@colors@dark}{ + \setbeamercolor{normal text}{% + fg=black!2, + bg=mDarkTeal + } +} +\newcommand{\@metropolis@colors@light}{ + \setbeamercolor{normal text}{% + fg=mDarkTeal, + bg=black!2 + } +} +\setbeamercolor{alerted text}{% + fg=mLightBrown +} +\setbeamercolor{example text}{% + fg=mLightGreen +} +\setbeamercolor{titlelike}{% + use=normal text, + parent=normal text +} +\setbeamercolor{structure}{% + fg=normal text.fg +} +\setbeamercolor{palette primary}{% + use=normal text, + fg=normal text.bg, + bg=normal text.fg +} +\setbeamercolor{frametitle}{% + use=palette primary, + parent=palette primary +} +\setbeamercolor{progress bar}{% + use=alerted text, + fg=alerted text.fg, + bg=normal text.bg!50!normal text.fg +} +\setbeamercolor{title separator}{ + use=progress bar, + parent=progress bar +} +\setbeamercolor{progress bar in head/foot}{% + use=progress bar, + parent=progress bar +} +\setbeamercolor{progress bar in section page}{ + use=progress bar, + parent=progress bar +} +\newcommand{\@metropolis@block@transparent}{ + \setbeamercolor{block title}{use=normal text, parent=normal text} +} +\newcommand{\@metropolis@block@fill}{ + \setbeamercolor{block title}{% + use=normal text, + fg=normal text.fg, + bg=normal text.bg!80!fg + } +} +\setbeamercolor{block title alerted}{% + use={block title, alerted text}, + bg=block title.bg, + fg=alerted text.fg +} +\setbeamercolor{block title example}{% + use={block title, example text}, + bg=block title.bg, + fg=example text.fg +} +\setbeamercolor{block body alerted}{use=block body, parent=block body} +\setbeamercolor{block body example}{use=block body, parent=block body} +\setbeamercolor{block body}{ + use={block title, normal text}, + bg=block title.bg!50!normal text.bg +} +\setbeamercolor{footnote}{fg=normal text.fg!90} +\setbeamercolor{footnote mark}{fg=.} +\@metropolis@color@setdefaults +\ProcessPgfPackageOptions{/metropolis/color} +\mode +\endinput +%% +%% End of file `beamercolorthememetropolis.sty'. diff --git a/presentation/beamerfontthememetropolis.sty b/presentation/beamerfontthememetropolis.sty new file mode 100644 index 0000000..6abc534 --- /dev/null +++ b/presentation/beamerfontthememetropolis.sty @@ -0,0 +1,56 @@ +%% +%% This is file `beamerfontthememetropolis.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% beamerfontthememetropolis.dtx (with options: `package') +%% --------------------------------------------------------------------------- +%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of +%% contributors can be found at +%% +%% https://github.com/matze/mtheme/graphs/contributors +%% +%% and the original template was based on the HSRM theme by Benjamin Weiss. +%% +%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 +%% International License (https://creativecommons.org/licenses/by-sa/4.0/). +%% --------------------------------------------------------------------------- +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{beamerfontthememetropolis} + [2015/06/12 A Modern Beamer Font Theme] +\RequirePackage[no-math]{fontspec} +\defaultfontfeatures{Mapping=tex-text} +\setsansfont[BoldItalicFont={Fira Sans Italic},% + ItalicFont={Fira Sans Light Italic},% + BoldFont={Fira Sans}]{Fira Sans Light} +\setmonofont{Fira Mono} +\newfontfamily\ExtraLight{Fira Sans ExtraLight} +\newfontfamily\Light{Fira Sans Light} +\newfontfamily\Book{Fira Sans} +\newfontfamily\Medium{Fira Sans Medium} +\AtBeginEnvironment{tabular}{% + \setsansfont[BoldFont={Fira Sans},% + Numbers={Monospaced}]{Fira Sans Light}% + } +\setbeamerfont{title}{family=\Book, size=\Large, shape=\scshape} +\setbeamerfont{author}{family=\ExtraLight, size=\small} +\setbeamerfont{date}{family=\ExtraLight, size=\small} +\setbeamerfont{section title}{family=\Book, size=\Large, shape=\scshape} +\setbeamerfont{block title}{family=\Book, size=\normalsize} +\setbeamerfont{block title alerted}{family=\Book,size=\normalsize} +\setbeamerfont{subtitle}{family=\Light, size=\fontsize{12}{14}} +\setbeamerfont{frametitle}{family=\Book, size=\large, shape=\scshape} +\setbeamerfont{caption}{size=\small} +\setbeamerfont{caption name}{family=\Book} +\setbeamerfont{description item}{family=\Book} +\setbeamerfont{page number in head/foot}{size=\scriptsize} +\setbeamerfont{bibliography entry author}{family=\Light, size=\normalsize} +\setbeamerfont{bibliography entry title}{family=\Book, size=\normalsize} +\setbeamerfont{bibliography entry location}{family=\Light, size=\normalsize} +\setbeamerfont{bibliography entry note}{family=\Light, size=\small} +\linespread{1.15} + +\endinput +%% +%% End of file `beamerfontthememetropolis.sty'. diff --git a/presentation/beamerinnerthememetropolis.sty b/presentation/beamerinnerthememetropolis.sty new file mode 100644 index 0000000..7d9974e --- /dev/null +++ b/presentation/beamerinnerthememetropolis.sty @@ -0,0 +1,274 @@ +%% +%% This is file `beamerinnerthememetropolis.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% beamerinnerthememetropolis.dtx (with options: `package') +%% --------------------------------------------------------------------------- +%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of +%% contributors can be found at +%% +%% https://github.com/matze/mtheme/graphs/contributors +%% +%% and the original template was based on the HSRM theme by Benjamin Weiss. +%% +%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 +%% International License (https://creativecommons.org/licenses/by-sa/4.0/). +%% --------------------------------------------------------------------------- +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{beamerinnerthememetropolis} + [2015/06/12 A Modern Beamer Theme] +\RequirePackage{etoolbox} +\RequirePackage{calc} +\RequirePackage{pgfopts} +\RequirePackage{tikz} +\pgfkeys{ + /metropolis/inner/block/.cd, + .is choice, + transparent/.code=\setlength{\@metropolis@blockskip}{0ex}, + fill/.code=\setlength{\@metropolis@blockskip}{1ex}, +} +\pgfkeys{ + /metropolis/inner/titleformat/.cd, + .is choice, + regular/.code=\renewcommand{\@metropolis@titleformat}{}, + lowercase/.code={% + \renewcommand{\@metropolis@titleformat}{\MakeLowercase} + }, + uppercase/.code={% + \renewcommand{\@metropolis@titleformat}{\MakeUppercase} + }, +} +\pgfkeys{ + /metropolis/inner/sectiontitleformat/.cd, + .is choice, + regular/.code=\renewcommand{\@metropolis@sectiontitleformat}{}, + lowercase/.code={% + \renewcommand{\@metropolis@sectiontitleformat}{\MakeLowercase} + }, + uppercase/.code={% + \renewcommand{\@metropolis@sectiontitleformat}{\MakeUppercase} + }, +} +\pgfkeys{ + /metropolis/inner/sectionpage/.cd, + .is choice, + none/.code=\@metropolis@sectionpage@none, + progressbar/.code=\@metropolis@sectionpage@progressbar, +} +\newcommand{\@metropolis@inner@setdefaults}{ + \pgfkeys{/metropolis/inner/.cd, + sectionpage=progressbar, + block=transparent, + titleformat=lowercase, + sectiontitleformat=lowercase, + } +} +\def\@metropolis@titleformat#1{#1} +\def\@metropolis@sectiontitleformat#1{#1} +\patchcmd{\sectionentry} + {\def\insertsectionhead{#2}} + {\def\insertsectionhead{\@metropolis@sectiontitleformat{#2}}} + {} + {\PackageError{beamerinnerthememetropolis}{Patching section title failed.}} +\patchcmd{\beamer@section} + {\def\insertsectionhead{\hyperlink{Navigation\the\c@page}{#1}}} + {\def\insertsectionhead{\hyperlink{Navigation\the\c@page}{\@metropolis@sectiontitleformat{#1}}}} + {} + {\PackageError{beamerinnerthememetropolis}{Patching section title failed.}} +\setbeamertemplate{title page}{ + \begin{minipage}[b][\paperheight]{\textwidth} + \ifx\inserttitlegraphic\@empty\else{% + \vbox to 0pt { + \vspace*{2em} + \usebeamercolor[fg]{titlegraphic}% + \inserttitlegraphic% + }% + \nointerlineskip% + } + \fi + \vfill% + \ifx\inserttitle\@empty\else{{% + \raggedright% + \linespread{1.0}% + \usebeamerfont{title}% + \usebeamercolor[fg]{title}% + \@metropolis@titleformat{\inserttitle}% + \par% + \vspace*{0.5em} + }} + \fi + \ifx\insertsubtitle\@empty\else{{% + \usebeamerfont{subtitle}% + \usebeamercolor[fg]{subtitle}% + \insertsubtitle% + \par% + \vspace*{0.5em} + }} + \fi + \begin{tikzpicture} + \usebeamercolor{title separator} + \draw[fg] (0, 0) -- (\textwidth, 0); + \end{tikzpicture}% + \par% + \vspace*{1em}% + \ifx\beamer@shortauthor\@empty\else{{% + \usebeamerfont{author}% + \usebeamercolor[fg]{author}% + \insertauthor% + \par% + \vspace*{0.25em} + }} + \fi + \ifx\insertdate\@empty\else{{% + \usebeamerfont{date}% + \usebeamercolor[fg]{date}% + \insertdate% + \par% + }} + \fi + \ifx\insertinstitute\@empty\else{{% + \vspace*{3mm} + \usebeamerfont{institute}% + \usebeamercolor[fg]{institute}% + \insertinstitute% + \par% + }} + \fi + \vfill + \vspace*{1mm} + \end{minipage} +} +\def\maketitle{% + \ifbeamer@inframe + \titlepage + \else + \frame[plain]{\titlepage} + \fi +} +\def\titlepage{% + \usebeamertemplate{title page} +} +\newcommand{\@metropolis@sectionpage@none}{ + \AtBeginSection{ + % intenionally empty + } +} +\defbeamertemplate{section page}{progressbar}{ + \centering + \begin{minipage}{22em} + \usebeamercolor[fg]{section title} + \usebeamerfont{section title} + \insertsectionhead\\[-1ex] + \usebeamertemplate*{progress bar in section page} + \end{minipage} + \par +} +\newcommand{\@metropolis@sectionpage@progressbar}{ + \setbeamertemplate{section page}[progressbar] + \AtBeginSection{ + \ifbeamer@inframe + \sectionpage + \else + \frame[plain,c]{\sectionpage} + \fi + } +} +\newlength{\metropolis@progressonsectionpage} +\setbeamertemplate{progress bar in section page}{ + \setlength{\metropolis@progressonsectionpage}{% + \textwidth * \ratio{\insertframenumber pt}{\inserttotalframenumber pt}% + }% + \begin{tikzpicture} + \draw[bg, fill=bg] (0,0) rectangle (\textwidth, 0.4pt); + \draw[fg, fill=fg] (0,0) rectangle (\metropolis@progressonsectionpage, 0.4pt); + \end{tikzpicture}% +} +\def\inserttotalframenumber{100} +\newlength{\@metropolis@blockskip} +\setbeamertemplate{block begin}{% + \vspace*{1ex} + \begin{beamercolorbox}[% + ht=2.4ex, + dp=1ex, + leftskip=\@metropolis@blockskip, + rightskip=\@metropolis@blockskip]{block title} + \usebeamerfont*{block title}\insertblocktitle% + \end{beamercolorbox}% + \vspace*{-1pt} + \usebeamerfont{block body}% + \begin{beamercolorbox}[% + dp=1ex, + leftskip=\@metropolis@blockskip, + rightskip=\@metropolis@blockskip, + vmode]{block body}% +} +\setbeamertemplate{block end}{% + \end{beamercolorbox} + \vspace*{0.2ex} +} +\setbeamertemplate{block alerted begin}{% + \vspace*{1ex} + \begin{beamercolorbox}[% + ht=2.4ex, + dp=1ex, + leftskip=\@metropolis@blockskip, + rightskip=\@metropolis@blockskip]{block title alerted} + \usebeamerfont*{block title alerted}\insertblocktitle% + \end{beamercolorbox}% + \vspace*{-1pt} + \usebeamerfont{block body alerted}% + \begin{beamercolorbox}[% + dp=1ex, + leftskip=\@metropolis@blockskip, + rightskip=\@metropolis@blockskip, + vmode]{block body}% +} +\setbeamertemplate{block alerted end}{% + \end{beamercolorbox} + \vspace*{0.2ex} +} +\setbeamertemplate{block example begin}{% + \vspace*{1ex} + \begin{beamercolorbox}[% + ht=2.4ex, + dp=1ex, + leftskip=\@metropolis@blockskip, + rightskip=\@metropolis@blockskip]{block title example} + \usebeamerfont*{block title example}\insertblocktitle% + \end{beamercolorbox}% + \vspace*{-1pt} + \usebeamerfont{block body example}% + \begin{beamercolorbox}[% + dp=1ex, + leftskip=\@metropolis@blockskip, + rightskip=\@metropolis@blockskip, + vmode]{block body}% +} +\setbeamertemplate{block example end}{% + \end{beamercolorbox} + \vspace*{0.2ex} +} +\setbeamertemplate{itemize items}{\textbullet} +\setbeamertemplate{caption label separator}{: } +\setbeamertemplate{caption}[numbered] +\setbeamertemplate{footnote}{% + \parindent 0em\noindent% + \raggedright + \usebeamercolor{footnote}\hbox to 0.8em{\hfil\insertfootnotemark}\insertfootnotetext\par% +} +\setlength{\parskip}{0.5em} +\linespread{1.15} +\define@key{beamerframe}{c}[true]{% centered + \beamer@frametopskip=0pt plus 1fill\relax% + \beamer@framebottomskip=0pt plus 1fill\relax% + \beamer@frametopskipautobreak=0pt plus .4\paperheight\relax% + \beamer@framebottomskipautobreak=0pt plus .6\paperheight\relax% + \def\beamer@initfirstlineunskip{}% +} +\@metropolis@inner@setdefaults +\ProcessPgfPackageOptions{/metropolis/inner} +\endinput +%% +%% End of file `beamerinnerthememetropolis.sty'. diff --git a/presentation/beamerouterthememetropolis.sty b/presentation/beamerouterthememetropolis.sty new file mode 100644 index 0000000..a1ebdff --- /dev/null +++ b/presentation/beamerouterthememetropolis.sty @@ -0,0 +1,134 @@ +%% +%% This is file `beamerouterthememetropolis.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% beamerouterthememetropolis.dtx (with options: `package') +%% --------------------------------------------------------------------------- +%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of +%% contributors can be found at +%% +%% https://github.com/matze/mtheme/graphs/contributors +%% +%% and the original template was based on the HSRM theme by Benjamin Weiss. +%% +%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 +%% International License (https://creativecommons.org/licenses/by-sa/4.0/). +%% --------------------------------------------------------------------------- +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{beamerouterthememetropolis} + [2015/06/12 A Modern Beamer Theme] +\RequirePackage{etoolbox} +\RequirePackage{calc} +\RequirePackage{pgfopts} +\pgfkeys{ + /metropolis/outer/numbering/.cd, + .is choice, + none/.code=\setbeamertemplate{frame numbering}[none], + counter/.code=\setbeamertemplate{frame numbering}[counter], + fraction/.code=\setbeamertemplate{frame numbering}[fraction], +} +\pgfkeys{ + /metropolis/outer/progressbar/.cd, + .is choice, + none/.code={% + \setbeamertemplate{headline}[plain] + \setbeamertemplate{frametitle}[plain] + \setbeamertemplate{footline}[plain] + }, + head/.code={\pgfkeys{/metropolis/outer/progressbar=none} + \addtobeamertemplate{headline}{}{\usebeamertemplate*{progress bar in head/foot}} + }, + frametitle/.code={\pgfkeys{/metropolis/outer/progressbar=none} + \addtobeamertemplate{frametitle}{}{\usebeamertemplate*{progress bar in head/foot}} + }, + foot/.code={\pgfkeys{/metropolis/outer/progressbar=none} + \addtobeamertemplate{footline}{}{\usebeamertemplate*{progress bar in head/foot}} + }, +} +\pgfkeys{ + /metropolis/outer/frametitleformat/.cd, + .is choice, + regular/.code={% + \renewcommand{\@metropolis@frametitleformat}{}% + \renewcommand{\@metropolis@frametitlestrut}{% + \rule{0pt}{\heightof{ABCDEFGHIJKLMNOPQRSTUVWXYZ}} + } + }, + lowercase/.code={% + \renewcommand{\@metropolis@frametitleformat}{\MakeLowercase}% + \renewcommand{\@metropolis@frametitlestrut}{% + \rule{0pt}{\heightof{abcdefghijklmnopqrstuvwxyz}} + } + }, + uppercase/.code={% + \renewcommand{\@metropolis@frametitleformat}{\MakeUppercase}% + \renewcommand{\@metropolis@frametitlestrut}{% + \rule{0pt}{\heightof{ABCDEFGHIJKLMNOPQRSTUVWXYZ}} + } + }, +} +\newcommand{\@metropolis@outer@setdefaults}{ + \pgfkeys{/metropolis/outer/.cd, + numbering=counter, + progressbar=none, + frametitleformat=lowercase, + } +} +\setbeamertemplate{navigation symbols}{} +\defbeamertemplate{frame numbering}{none}{} +\defbeamertemplate{frame numbering}{counter}{\insertframenumber} +\defbeamertemplate{frame numbering}{fraction}{ + \insertframenumber/\inserttotalframenumber +} +\defbeamertemplate{headline}{plain}{} +\defbeamertemplate{footline}{plain}{% + \begin{beamercolorbox}[wd=\textwidth, sep=3ex]{footline}% + \hfill% + \usebeamerfont{page number in head/foot}% + \usebeamertemplate*{frame numbering} + \end{beamercolorbox}% +} +\def\@metropolis@frametitleformat#1{#1} +\patchcmd{\beamer@@frametitle} + {\beamer@ifempty{#2}{}{% + \gdef\insertframetitle{{#2\ifnum\beamer@autobreakcount>0\relax{}\space\usebeamertemplate*{frametitle continuation}\fi}}% + \gdef\beamer@frametitle{#2}% + \gdef\beamer@shortframetitle{#1}% + }} + {\beamer@ifempty{#2}{}{% + \gdef\insertframetitle{{\@metropolis@frametitleformat{#2}\ifnum\beamer@autobreakcount>0\relax{}\space\usebeamertemplate*{frametitle continuation}\fi}}% + \gdef\beamer@frametitle{#2}% + \gdef\beamer@shortframetitle{#1}% + }} + {} + {\PackageError{beamerouterthememetropolis}{Patching frame title failed.}} +\newlength{\@metropolis@frametitlestrut} +\defbeamertemplate{frametitle}{plain}{% + \nointerlineskip% + \begin{beamercolorbox}[% + wd=\paperwidth,% + sep=1.5ex,% + ]{frametitle}% + \@metropolis@frametitlestrut\insertframetitle\@metropolis@frametitlestrut% + \end{beamercolorbox}% +} +\newlength{\metropolis@progressinheadfoot} +\setbeamertemplate{progress bar in head/foot}{ + \nointerlineskip + \setlength{\metropolis@progressinheadfoot}{% + \paperwidth * \ratio{\insertframenumber pt}{\inserttotalframenumber pt}% + }% + \begin{beamercolorbox}[wd=\paperwidth]{progress bar in head/foot} + \begin{tikzpicture} + \draw[bg, fill=bg] (0,0) rectangle (\paperwidth, 0.4pt); + \draw[fg, fill=fg] (0,0) rectangle (\metropolis@progressinheadfoot, 0.4pt); + \end{tikzpicture}% + \end{beamercolorbox} +} +\@metropolis@outer@setdefaults +\ProcessPgfPackageOptions{/metropolis/outer} +\endinput +%% +%% End of file `beamerouterthememetropolis.sty'. diff --git a/presentation/beamerthemem.sty b/presentation/beamerthemem.sty new file mode 100644 index 0000000..b8657c6 --- /dev/null +++ b/presentation/beamerthemem.sty @@ -0,0 +1,106 @@ +%% +%% This is file `beamerthemem.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% beamerthemem.dtx (with options: `package') +%% --------------------------------------------------------------------------- +%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of +%% contributors can be found at +%% +%% https://github.com/matze/mtheme/graphs/contributors +%% +%% and the original template was based on the HSRM theme by Benjamin Weiss. +%% +%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 +%% International License (https://creativecommons.org/licenses/by-sa/4.0/). +%% --------------------------------------------------------------------------- +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{beamerthemem} + [2015/06/12 A Modern Beamer Theme] +\RequirePackage{etoolbox} +\RequirePackage{pgfopts} +\RequirePackage{ifxetex} +\RequirePackage{ifluatex} +\newcommand{\metroset}[1]{\pgfkeys{/metropolis/.cd,#1}} +\pgfkeys{/metropolis/.cd, + .search also={ + /metropolis/inner, + /metropolis/outer, + /metropolis/color, + }, + block/.code=\pgfkeysalso{ + inner/block=#1, + color/block=#1, + }, +} +\pgfkeys{ + /metropolis/plaintitleformat/.cd, + .is choice, + regular/.code=\renewcommand{\@metropolis@plaintitleformat}{#1}, + lowercase/.code={% + \renewcommand{\@metropolis@plaintitleformat}{\MakeLowercase{#1}} + }, + uppercase/.code={% + \renewcommand{\@metropolis@plaintitleformat}{\MakeUppercase{#1}} + }, +} +\pgfkeys{ + /metropolis/everytitleformat/.code=\pgfkeysalso{ + inner/titleformat=#1, + inner/sectiontitleformat=#1, + outer/frametitleformat=#1, + plaintitleformat=#1, + } +} +\pgfkeys{/metropolis/.cd, + usetitleprogressbar/.code=\pgfkeysalso{outer/progressbar=frametitle}, + noslidenumbers/.code=\pgfkeysalso{outer/numbering=none}, + usetotalslideindicator/.code=\pgfkeysalso{outer/numbering=fraction}, + nosectionslide/.code=\pgfkeysalso{inner/sectionpage=none}, + darkcolors/.code=\pgfkeysalso{color/background=dark}, + blockbg/.code=\pgfkeysalso{color/block=fill, inner/block=fill}, +} +\newcommand{\@metropolis@setdefaults}{ + \pgfkeys{/metropolis/.cd, + plaintitleformat=lowercase, + } +} +\useinnertheme{metropolis} +\useoutertheme{metropolis} +\usecolortheme{metropolis} +\ifboolexpr{bool {xetex} or bool {luatex}}{ + \usefonttheme{metropolis} +}{ + \PackageWarning{beamerthemem}{% + You need to compile with XeLaTeX or LuaLaTeX to use the Fira fonts. + } +} +\AtEndPreamble{% + \@ifpackageloaded{pgfplots}{% + \RequirePackage{pgfplotsthemetol} + }{} +} +\def\@metropolis@plaintitleformat#1{#1} +\newcommand{\plain}[2][]{% + \begingroup + \setbeamercolor{background canvas}{ + use=palette primary, + parent=palette primary + } + \begin{frame}[c]{#1} + \begin{center} + \usebeamercolor[fg]{palette primary} + \usebeamerfont{section title} + \@metropolis@plaintitleformat{#2} + \end{center} + \end{frame} + \endgroup +} +\newcommand{\mreducelistspacing}{\vspace{-\topsep}} +\@metropolis@setdefaults +\ProcessPgfOptions{/metropolis} +\endinput +%% +%% End of file `beamerthemem.sty'. diff --git a/presentation/demo.bib b/presentation/demo.bib new file mode 100644 index 0000000..6cf6bad --- /dev/null +++ b/presentation/demo.bib @@ -0,0 +1,43 @@ +@article{Knuth92, + author = "D.E. Knuth", + title = "Two notes on notation", + journal = "Amer. Math. Monthly", + volume = "99", + year = "1992", + pages = "403--422", +} + +@book{ConcreteMath, + author = "R.L. Graham and D.E. Knuth and O. Patashnik", + title = "Concrete mathematics", + publisher = "Addison-Wesley", + address = "Reading, MA", + year = "1989" +} + +@unpublished{Simpson, + author = "H. Simpson", + title = "Proof of the {R}iemann {H}ypothesis", + note = "preprint (2003), available at + \texttt{http://www.math.drofnats.edu/riemann.ps}", + year = "2003" +} + +@incollection{Er01, + author = "P. Erd{\H o}s", + title = "A selection of problems and results in combinatorics", + booktitle = "Recent trends in combinatorics (Matrahaza, 1995)", + publisher = "Cambridge Univ. Press", + address = "Cambridge", + pages = "1--6", + year = "1995" +} +@article{greenwade93, + author = "George D. Greenwade", + title = "The {C}omprehensive {T}ex {A}rchive {N}etwork ({CTAN})", + year = "1993", + journal = "TUGBoat", + volume = "14", + number = "3", + pages = "342--351" +} diff --git a/presentation/demo.tex b/presentation/demo.tex new file mode 100644 index 0000000..d56d750 --- /dev/null +++ b/presentation/demo.tex @@ -0,0 +1,644 @@ +\documentclass[10pt]{beamer} + +\usetheme[everytitleformat=regular]{m} +\usepackage[percent]{overpic} +\usepackage{booktabs} +\usepackage[scale=2]{ccicons} +\usepackage[outdir=./gfx/]{epstopdf} +\usepackage{pgfplots} +\usepackage{multimedia} +\usepackage{graphicx} +\usepackage{epsfig} +\usepackage{psfrag} +\usepackage{color} +\usepackage{caption} +\usepackage{transparent} +\usepackage{caption} +\usepackage{subcaption} +\usepackage{algorithm} +\usepackage{algpseudocode} +\setbeamerfont{caption}{size=\tiny} +\setbeamertemplate{caption}{\raggedright\insertcaption\par} + +\makeatletter +\renewcommand{\ALG@beginalgorithmic}{\scriptsize} +\renewcommand{\alglinenumber}{\scriptsize} +\makeatother + +\graphicspath{{./gfx/}} + +\usepgfplotslibrary{dateplot} + +\definecolor{pro}{HTML}{198c19} +\definecolor{con}{HTML}{CB410B} + +% Costumizing the m-theme here +\setbeamertemplate{footline}[text line]{% + \parbox{\linewidth}{ + \vspace*{-35pt}\insertpagenumber + \hfill\inserttitle + \hspace*{-30pt} + \hfill\includegraphics[width=0.20\textwidth]{gfx/logo_orange} + \hspace*{-30pt} + } + } + +\definecolor{mBGColor}{HTML}{FAFAFA} +\definecolor{mWhite}{HTML}{FFFFFF} +\definecolor{mOrange}{HTML}{e84e25} +\setbeamercolor{frametitle}{% + use=mWhite, + fg=mWhite, + bg=mOrange +} +\setbeamercolor{alerted text}{% + fg=mOrange +} +% End Costumizing + +\usepackage{amsmath} +\renewcommand{\vec}[1]{\boldsymbol{#1}} +\newcommand{\mat}[1]{\boldsymbol{#1}} +%\renewcommand{\hat}[1]{\oldhat{\mathbf{#1}}} + +\newcommand{\SI}[2]{\ensuremath{#1}\text{\,#2}} +\newcommand{\SIrange}[3]{\ensuremath{#1} to \ensuremath{#2}\text{\,#3}} +\newcommand{\cm}{cm} +\newcommand{\meter}{m} +\newcommand{\per}{/} +\newcommand{\milli}{m} +\newcommand{\second}{s} +\newcommand{\giga}{G} +\newcommand{\hertz}{Hz} +\newcommand{\dBm}{dBm} +\newcommand{\percent}{\%} +\newcommand{\decibel}{dB} +\newcommand{\dB}{dB} +\newcommand{\degree}{\ensuremath{^{\circ}}} + + +\newcommand{\R}{\mathbb{R}} +\newcommand{\N}{\mathbb{N}} +\newcommand{\NDist}{\mathcal{N}} +\newcommand{\UDist}{\mathcal{U}} + + +\newcommand{\qTurn}{\theta} +\newcommand{\qBaro}{\hat\rho_{\text{rel}}} + + +\newcommand{\oWifi}{s_{\text{wifi}}} +\newcommand{\oBeacons}{s_{\text{beacons}}} +\newcommand{\oStep}{n_\text{step}} +\newcommand{\oTurn}{\Delta\theta} +\newcommand{\oBaro}{\rho_{\text{rel}}} + +\newcommand{\ispace}{\vspace{2mm}} + +\newcommand{\vecB}[2]{\begin{pmatrix} #1\\ #2 \end{pmatrix}} +\newcommand{\matD}[4]{\begin{bmatrix} #1 & #2 \\ #3 & #4 \end{bmatrix}} + +\title{On Monte Carlo Smoothing in Multi Sensor Indoor Localisation} +\date{\today} +\newcommand{\insertmail}{toni.fetzer@fhws.de} +\author{T. Fetzer$^\star$, F. Ebner$^\star$, F. Deinzer$^\star$, L. K\"oping$^\dagger$, M. Grzegorzek$^\dagger$} +\date{\today} +\institute{ $^\star$ University of Applied Sciences W\"urzburg - Schweinfurt \\ + $^\dagger$ University of Siegen - Pattern Recognition Group} + + +%\input{misc/keywords} +%\input{misc/functions} + +\begin{document} + +\maketitle + +\begin{frame} + \frametitle{Table of Contents} + \setbeamertemplate{section in toc}[sections numbered] + \tableofcontents[hideallsubsections] +\end{frame} + +\section{General Idea \& Motivation} + +\begin{frame}[fragile] + \frametitle{Indoor Localisation System} + + \begin{figure} + \centering + \includegraphics[width=\linewidth]{gfx/info_graphic} + \end{figure}% + + +\end{frame} + +\begin{frame}[fragile] + \frametitle{Multimodal Distribution} + + \begin{figure} + \centering + \def\svgwidth{0.9\columnwidth} + \input{gfx/multimodalpath.eps_tex} + \end{figure}% + +\end{frame} + +\begin{frame}[fragile] + \frametitle{Research Objectives} + \textbf{Goal:} Provide and discuss Monte-Carlo smoothing methods in the context of indoor localisation. + \newline + \newline + \textbf{General Assumptions:} + \begin{itemize} + \item A time-sequential, non-linear and non-Gaussian state-space + \newline $\rightarrow$ Monte-Carlo methods for approximation + \item A given indoor localisation system based on a statistical sensor fusion + \item No multi-target tracking (more than one person) + \end{itemize} + +\end{frame} + +%Section: Transition Model +\section{Forward Propagation} + + \begin{frame} + \frametitle{Recursive Density Estimation} + \begin{itemize} + \item<1-> Current State\\ + $\vec{q} = (x,y,z, \qTurn, \qBaro)^T, \enskip{} + \overbrace{x,y,z \in \R}^{\text{position}}, \enskip + \overbrace{\qTurn \in \R}^{\text{heading}},\enskip{} + \overbrace{\qBaro \in \R}^{\text{rel. pressure}} + $ \\ + $\vec{q}_0 = $ uniformly distributed, $\qBaro = 0$ + \ispace + \item<2-> Observation\\ + $\vec{o} = (\vec{\oWifi}, \vec{\oBeacons}, \oStep, \oTurn, \oBaro, \Omega)$ + \ispace + \item<3-> \small$ + \underbrace{ p(\vec{q}_t\mid \vec{o}_{1:t})}_{\text{estimation}} + \propto % + \underbrace{ p(\vec{o}_t \mid \vec{q}_t) }_{\text{evaluation}}% + \int + \underbrace{ p(\vec{q}_t \mid \vec{q}_{t-1}, \vec{o}_{t-1}) }_{\text{transition}}% + \underbrace{ p(\vec{q}_{t-1} \mid \vec{o}_{1:t-1})}_{\text{recursion}}% + d\vec{q}_{t-1}% + $ + \end{itemize} + \end{frame} + + \begin{frame} + \frametitle{Observation} + \begin{itemize} + \item<1-> a location's probability based on the current sensor readings + \begin{equation*} + \begin{split} + p(\vec{o}_t \mid \vec{q}_t) =&\\ + &p(\vec{o}_t \mid \vec{q}_t)_{\text{wifi}} \\ + &p(\vec{o}_t \mid \vec{q}_t)_{\text{beacons}} \\ + &p(\vec{o}_t \mid \vec{q}_t)_{\text{baro}} \\ + \end{split} + \end{equation*} + \ispace + \item<1-> assuming statistical independence + \item<1-> \textit{step- and turn detection are used within the transition} + \end{itemize} + \end{frame} + + + \begin{frame} + \frametitle{Observation - Wi-Fi/iBeacons} + \begin{itemize} + + %\only<1>{ + \item<1-> + $p(\vec{o}_t \mid \vec{q}_t)_\text{wifi}=$ + $p(\vec{\oWifi} \mid \vec{q}_t) = \prod_{\oWifi} \NDist(s_i \mid \overbrace{P_r(d_i, \Delta f_i)}^\text{model prediction}, \sigma_{\text{wifi}}^2)$,\\ + \ispace + \only<1>{% + \small{\textit{probability to measure all currently received signal-strengths $\vec{\oWifi}$ at a location $\vec{q}_t$, by comparing them with corresponding estimations from a prediction model}}% + %\vspace{2.9cm}% + } + + %} + + \item<2-> + 3D signal strength prediction\\\ispace + $ + P_r(d,\Delta f) = + \underbrace{P_0}_{\text{reference}}\enskip + \underbrace{- 10 \gamma \cdot \log_{10}(\tfrac{d}{d_0})}_{\text{attenuation per meter}}\enskip + \underbrace{+ \Delta f \lambda}_\text{floor attenuation} + \underbrace{+ X}_{\text{ noise }} + $ + %\\\ispace$ + % X \sim \NDist(0,\sigma^2_{\text{wifi}}),\enskip + % \underbrace{\Delta f \in \N}_{\text{number of floors}},\enskip + % \underbrace{\lambda \approx -8}_{\text{attenuation per floor}} + %$ + %\ispace + \newline + \raisebox{5.0cm}{ + %\only<2>{ \vspace{4.0cm} } + \only<3>{ \includegraphics[width = 0.35\textwidth]{gfx/wifi1.png} }% + \only<4->{ \includegraphics[width = 0.35\textwidth]{gfx/wifi2.png} }% + \only<5>{ \includegraphics[width = 0.35\textwidth]{gfx/wifi3.png} }% + \only<6->{ \includegraphics[width = 0.35\textwidth]{gfx/wifi4.png} }% + } + %\vspace{6mm} + + \end{itemize} + \end{frame} + + + \begin{frame} + \frametitle{Observation - Barometer} + \begin{itemize} + \item<1-> + $p(\vec{o}_t \mid \vec{q}_t)_{\text{baro}} = $ + $\NDist(o_t^{\oBaro} \mid q_t^{\qBaro}, \sigma_{\text{baro}}^2)$\\ + \ispace + \small{\textit{probability to measure the pressure $o_t^{\oBaro}$ (relative to the start) at a location $\vec{q}_t$}, by comparing it with the corresponding prediction} + + \item<2-> + each transition performs a relative pressure prediction:\\ + \ispace + $q_t^{\qBaro} = q_{t-1}^{\qBaro} + \Delta z \cdot b$, \enskip + $\underbrace{\Delta z = q_{t-1}^z - q_{t}^z}_{\text{height change}}$, \enskip + $\underbrace{b \in \R}_{\text{pressure change / meter}}$\\ + % + \vspace{5mm} + \begin{figure} + \centering + \includegraphics[width = 0.4\textwidth]{gfx/baroChange} + \end{figure} + + \end{itemize} + \end{frame} + + + \begin{frame} + \frametitle{Transition - Floorplan} + \only<1>{% + 1) start with the building's floorplan\\% + \includegraphics[width = 1.0\textwidth]{gfx/step1}% + }% + \only<2>{% + 2) divide into cells and remove those intersecting with walls\\% + \includegraphics[width = 1.0\textwidth]{gfx/step2}% + }% + \only<3>{% + 3) add edges to all (available) adjacent cells\\% + \includegraphics[width = 1.0\textwidth]{gfx/step3}% + }% + \only<4>{% + 4) add stairs and remove unreachable cells\\% + \includegraphics[width = 1.0\textwidth]{gfx/step4}% + }% + \end{frame} + + \newcommand{\leHeading}{\theta_{\text{walk}}} + %\newcommand{\leDistance}{d_{\text{walk}}} + \newcommand{\leDistance}{d} + + \begin{frame} + \frametitle{Transition - Random Walk} + \begin{minipage}{0.49\textwidth} + $p(\vec{q}_t \mid \vec{q}_{t-1}, \vec{o}_{t-1})$: + \begin{enumerate} + \item get node $\vec{q}_{t-1}$ belongs to + \item draw distance $\leDistance$ to walk%\\ \textit{depends on the number of detected steps} + \item repeat until $\leDistance$ is reached + \begin{enumerate} + \item draw edge $e_{i,j}$ according to its probability $p(e_{i,j})$ + \item walk along the edge + \item $\leDistance = \leDistance - \|e_{i,j}\|$ + \end{enumerate} + \end{enumerate} + \end{minipage} + \begin{minipage}{0.49\textwidth} + \begin{figure} + \includegraphics[width = 1.0\textwidth]{gfx/walk} + \end{figure} + \end{minipage} + \end{frame} + + + + \begin{frame} + \frametitle{Transition - Random Walk} + \begin{itemize} + + \item<1-> distance to walk\\ + \ispace + $% + \leDistance = + \underbrace{{o}_{t-1}^{\oStep}}_\text{steps detected} \cdot + \underbrace{s_\text{step}}_\text{step size} + + \underbrace{\mathcal{N}(0, \sigma^2_{\leDistance})}_\text{uncertainty} + $\newline\newline + + \item<2-> pedestrian's heading\\ + \ispace + $p(e_{i,j})_\text{turn} = p(e_{i,j} \mid \leHeading) = \NDist(\angle e_{i,j} \mid \leHeading, \sigma^2_{\text{dev}} )$\\ + \ispace + $% + \underbrace{\leHeading = {q}_{t}^{\qTurn}}_\text{current heading} = + \underbrace{{q}_{t-1}^{\qTurn}}_\text{previous heading} + + \underbrace{{o}_{t-1}^{\oTurn}}_\text{sensor readings} + + \underbrace{\mathcal{N}(0, \sigma^2_{\leHeading})}_\text{uncertainty} + $\\ + + + \end{itemize} + \end{frame} + +\begin{frame} + \frametitle{Transition - Activity Recognition} + \begin{itemize} + \item additionally activity detection with\\ + \ispace + $\Omega \in \{ \tt{unknown}, \tt{standing}, \tt{walking}, \tt{stairs\_up}, \tt{stairs\_down} \}$\newline + + \item edges $e_{i,j}$ matching the currently detected + activity are favoured using $p(e_{i,j})_\text{act} = 0.8$ and $0.2$ otherwise + + \end{itemize} +\end{frame} + +%Section: Backward Propagation +\section{Backward Propagation} + +\begin{frame}[fragile] + \frametitle{Basics of Particle Smoothing} + \begin{figure} + \centering + \def\svgwidth{0.9\columnwidth} + \input{gfx/basicssmoothing.eps_tex} + \end{figure}% +\end{frame} + +\begin{frame}[fragile] + \frametitle{Forward-Backward Smoothing} +\begin{algorithm}[H] + \caption{Forward-Backward Smoother} + \label{alg:forward-backwardSmoother} + \begin{algorithmic}[1] % The number tells where the line numbering should start + \Statex{\textbf{Input:} Prior $\mu(\vec{X}^i_1)$} + \Statex{~} + \For{$t = 1$ \textbf{to} $T$} \Comment{Filtering} + \State{Perform particle filtering to obtain the weighted trajectories $ \{ W^i_t, \vec{X}^i_t\}^N_{i=1}$} + \EndFor + \For{ $i = 1$ \textbf{to} $N$} \Comment{Initialization} + \State{Set $W^i_{T \mid T} = W^i_T$} + \EndFor + \For{$t = T-1$ \textbf{to} $1$} \Comment{Smoothing} + \For{$i = 1$ \textbf{to} $N$} + \State{Compute the weights +\fcolorbox{mOrange}{mBGColor}{ +$ +W^i_{t \mid T} = W^i_t \left[ \sum^N_{j=1} W^j_{t+1 \mid T} \frac{p(\vec{X}^j_{t+1} \mid \vec{X}^i_t)}{\sum^N_{k=1} W^k_t ~ p(\vec{X}^j_{t+1} \mid \vec{X}^k_t)} \right] +$} +} + \EndFor + \EndFor + \end{algorithmic} +\end{algorithm} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Backward Simulation} + + \begin{algorithm}[H] + \caption{Backward Simulation Smoothing} + \label{alg:backwardSimulation} + \begin{algorithmic}[1] % The number tells where the line numbering should start + \Statex{\textbf{Input:} Prior $\mu(\vec{X}^i_1)$} + \Statex{~} + \For{$t = 1$ \textbf{to} $T$} \Comment{Filtering} + \State{Perform particle filtering to obtain the weighted trajectories $ \{ W^i_t, \vec{X}^i_t\}^N_{i=1}$} + \EndFor + \For{ $k = 1$ \textbf{to} $N_{\text{sample}}$} + \State{Choose $\tilde{\vec{q}}^k_T = \vec{X}^i_T$ with probability $W^i_T$} \Comment{Initialize realization} + + \For{$t = T-1$ \textbf{to} $1$} \Comment{Smoothing} + \For{$j = 1$ \textbf{to} $N$} + \State{Compute the weights \fcolorbox{mOrange}{mBGColor}{$W^j_{t \mid t+1} = W^j_t ~ p(\tilde{\vec{q}}_{t+1} \mid \vec{X}^j_{t})$}} + \EndFor + \State{\fcolorbox{mOrange}{mBGColor}{Choose $\tilde{\vec{q}}^k_t = \vec{X}^j_t$ with probability $W^j_{t\mid t+1}$}} + \EndFor + \State{$\tilde{\vec{q}}^k_{1:T} = (\tilde{\vec{q}}^k_1, \tilde{\vec{q}}^k_2, ..., \tilde{\vec{q}}^k_T)$ is one approximate realization from $p(\vec{q}_{1:T} \mid \vec{o}_{1:T})$} + \EndFor + \end{algorithmic} +\end{algorithm} +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Backward Transition} + + \begin{columns}[T,onlytextwidth] + \column{0.55\textwidth} + Very simple model for calculating the state transition $p(q_{t+1} \mid q_{t})$: + \begin{itemize} + \setlength{\itemindent}{-0.5cm} + \item Linear distance: $p(\vec{q}_{t+1} \mid \vec{q}_t)_{\text{step}} = $\\ + \ispace + $% + \mathcal{N}(\Delta d_t \mid \mu_{\text{step}}, \sigma_{\text{step}}^2) + $\newline + + \item Heading change: $p(\vec{q}_{t+1} \mid \vec{q}_t, \vec{o}_t)_{\text{turn}} = $\\ + \ispace + $% + \mathcal{N}(\Delta\alpha_t \mid \oTurn, \sigma^2_{\text{turn}}) + $\newline + + \item Height change: $p(\vec{q}_{t+1} \mid \vec{q}_t, \vec{o}_t)_{\text{baro}} = $\\ + \ispace + $ + \mathcal{N}(\Delta z \mid \mu_z, \sigma^2_{z}) + $ + + \end{itemize} + + %\column{0.05\textwidth} + + \column{0.60\textwidth} + + \centering + \input{gfx/backwardTransition.eps_tex}{} + + \end{columns} + +\end{frame} + + \begin{frame} + \frametitle{Backward Transition} + \begin{itemize} + \item<1-> the probability density of the smoothing transition is then given by + \begin{equation*} + \arraycolsep=1.2pt + \begin{array}{ll} + p(\vec{q}_{t+1} \mid \vec{q}_t, \vec{o}_t) = + &p(\vec{q}_{t+1} \mid \vec{q}_t)_{\text{step}}\\ + &p(\vec{q}_{t+1} \mid \vec{q}_t, \vec{o}_t)_{\text{turn}}\\ + &p(\vec{q}_{t+1} \mid \vec{q}_t, \vec{o}_t)_{\text{baro}} + \end{array} + \enspace . + \end{equation*} + \ispace + \item<1-> assuming again statistical independence + \item<1-> important: to do all this, we need to save all particles and their weight at each time step while filtering. + \end{itemize} + \end{frame} + +%Section Evaluation +\section{Evaluation} + +\begin{frame}[fragile] + \frametitle{Test Environment} + +\begin{figure} +\centering + \scalebox{1.2}{ + \input{gfx/paths}} +\end{figure} +% + +\end{frame} + + +\begin{frame}[fragile] + \frametitle{Fixed-interval Smoothing - Path 2} + +\begin{figure} +\centering + \scalebox{1.2}{ + \input{gfx/path2_interval_compare}} + %\caption{a) Exemplary results for path 2 where BS (blue) and filtering (green) using 2500 particles and 500 sample realisations. b) A situation where smoothing provides a worse error in regard to the ground truth, but obviously a more realistic path.} + %\label{fig:int_path2} +\end{figure} +% + +\end{frame} + +\begin{frame}[fragile] + \frametitle{Fixed-interval Smoothing - UAH (This building)} + +\begin{figure} +\centering + \includegraphics[width=0.8\textwidth]{gfx/uah_live.png} +\end{figure} +% + +\end{frame} + +\begin{frame}[fragile] + \frametitle{Fixed-lag Smoothing - Path 4} + +\begin{figure} + \centering + \scalebox{1.2}{ + \input{gfx/path4_lag_comp}} + %\caption{Estimation results on path 4 for the filter and both smoothers using fixed-lag smoothing with $\tau = 5$. For a better visualisation, the segments are divided using an outline of alternating grey levels. The corresponding segment-error can be seen in fig. \ref{fig:lag_error_path4}.} + %\label{fig:lag_comp_path4} +\end{figure} + +\end{frame} + +\begin{frame}[fragile] + \frametitle{Fixed-lag Smoothing - Path 4} + +\begin{figure} + \centering + \scalebox{1.2}{ + \input{gfx/error_timed}} + %\caption{Estimation results on path 4 for the filter and both smoothers using fixed-lag smoothing with $\tau = 5$. For a better visualisation, the segments are divided using an outline of alternating grey levels. The corresponding segment-error can be seen in fig. \ref{fig:lag_error_path4}.} + %\label{fig:lag_comp_path4} +\end{figure} + +\end{frame} + +\begin{frame}[fragile] + \frametitle{Overall Results} + +Overall estimation results for all paths on 10 MC runs: + +\centering +\begin{tabular}{ |l |c |c |} + \hline + & Galaxy S5 & Nexus 6 \\ \hline + Filtering & \SI{7.92}{m} & \SI{5.50}{m} \\\hline + Forwards-Backward & \SI{6.48}{m} & \SI{4.47}{m} \\\hline + Backward Simulation & \SI{6.68}{m} & \SI{4.80}{m} \\ + \hline +\end{tabular} + +\begin{itemize} + \item even with 50 particles backward simulation is still able to provide good results. + \item bigger lags improve the results with increasing temporal error +\end{itemize} + +\end{frame} + + +%Section Conclusion +\section{Conclusion} + +\begin{frame}[fragile] + \frametitle{Conclusion} + \textcolor{mLightBrown}{What you have seen:} + \begin{itemize} + \item Successful use of \textbf{different smoothing algorithm} in context of indoor localisation + \item A \textbf{very simple} backward transition model + \item \textbf{Practical} and \textbf{theoretical comparison} between the single approaches + \end{itemize} + \begin{columns}[T,onlytextwidth] + \column{0.5\textwidth} + + \textcolor{pro}{What's good:} + \begin{itemize} + \item Realistic paths and good error compensation + \item \textbf{Low computational cost} and \textbf{low complexity} by using backward simulation + \end{itemize} + \column{0.05\textwidth} + \column{0.5\textwidth} + + \textcolor{con}{What's future work?} + \begin{itemize} + \item Dynamic-lag smoothing + \item Prediction of future observations to reduce the estimation lag + \end{itemize} + \end{columns} + +\end{frame} + + +\begin{frame}[fragile]{} + \setbeamercolor{frametitle}{use=mDarkTeal,fg=mDarkTeal, bg=mWhite} + \vfill + \begin{center} + \vspace{1em} + \usebeamerfont{section title} + Thank you. Any questions? + \end{center} + \vfill + + Toni Fetzer \\ + \insertmail \\ + University of Applied Sciences W\"urzburg - Schweinfurt +\end{frame} + + +%\begin{frame}[allowframebreaks] + +% \frametitle{References} + +% \bibliography{demo} +% \bibliographystyle{abbrv} + +%\end{frame} + +\end{document} diff --git a/presentation/gfx/backwardTransition.eps b/presentation/gfx/backwardTransition.eps new file mode 100644 index 0000000..27e80be --- /dev/null +++ b/presentation/gfx/backwardTransition.eps @@ -0,0 +1,329 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: cairo 1.14.2 (http://cairographics.org) +%%CreationDate: Mon Dec 14 22:32:10 2015 +%%Pages: 1 +%%DocumentData: Clean7Bit +%%LanguageLevel: 2 +%%BoundingBox: 0 -1 134 134 +%%EndComments +%%BeginProlog +save +50 dict begin +/q { gsave } bind def +/Q { grestore } bind def +/cm { 6 array astore concat } bind def +/w { setlinewidth } bind def +/J { setlinecap } bind def +/j { setlinejoin } bind def +/M { setmiterlimit } bind def +/d { setdash } 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closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse + clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse +dup 2 lt + {/InterpretLevel1 true def + /InterpretLevel3 false def} + {/InterpretLevel1 Level1 def + 2 gt + {/InterpretLevel3 Level3 def} + {/InterpretLevel3 false def} + ifelse } + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> matrix makepattern +/Pat1 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke + 0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke} +>> matrix makepattern +/Pat2 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L + 8 8 L 8 0 L 0 0 L fill} +>> matrix makepattern +/Pat3 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L + 0 12 M 12 0 L stroke} +>> matrix makepattern +/Pat4 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L + 0 -4 M 12 8 L stroke} +>> matrix makepattern +/Pat5 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L + 0 12 M 8 -4 L 4 12 M 10 0 L stroke} +>> matrix makepattern +/Pat6 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L + 0 -4 M 8 12 L 4 -4 M 10 8 L stroke} +>> matrix makepattern +/Pat7 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L + 12 0 M -4 8 L 12 4 M 0 10 L stroke} +>> matrix makepattern +/Pat8 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L + -4 0 M 12 8 L -4 4 M 8 10 L stroke} +>> matrix makepattern +/Pat9 exch def +/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def +/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def +/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def +/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def +/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def +/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def +/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def +} def +% +% +%End of PostScript Level 2 code +% +/PatternBgnd { + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse +} def +% +% Substitute for Level 2 pattern fill codes with +% grayscale if Level 2 support is not selected. +% +/Level1PatternFill { +/Pattern1 {0.250 Density} bind def +/Pattern2 {0.500 Density} bind def +/Pattern3 {0.750 Density} bind def +/Pattern4 {0.125 Density} bind def +/Pattern5 {0.375 Density} bind def +/Pattern6 {0.625 Density} bind def +/Pattern7 {0.875 Density} bind def +} def +% +% Now test for support of Level 2 code +% +Level1 {Level1PatternFill} {Level2PatternFill} ifelse +% +/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont +dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall +currentdict end definefont pop +% +Level1 SuppressPDFMark or +{} { +/SDict 10 dict def +systemdict /pdfmark known not { + userdict /pdfmark systemdict /cleartomark get put +} if +SDict begin [ + /Title (error_timed.tex) + /Subject (gnuplot plot) + /Creator (gnuplot 5.0 patchlevel 1) + /Author (kazu) +% /Producer (gnuplot) +% /Keywords () + /CreationDate (Sun May 22 14:13:07 2016) + /DOCINFO pdfmark +end +} ifelse +end +% +% Support for boxed text - Ethan A Merritt May 2005 +% +/InitTextBox { userdict /TBy2 3 -1 roll put userdict /TBx2 3 -1 roll put + userdict /TBy1 3 -1 roll put userdict /TBx1 3 -1 roll put + /Boxing true def } def +/ExtendTextBox { Boxing + { gsave dup false charpath pathbbox + dup TBy2 gt {userdict /TBy2 3 -1 roll put} {pop} ifelse + dup TBx2 gt {userdict /TBx2 3 -1 roll put} {pop} ifelse + dup TBy1 lt {userdict /TBy1 3 -1 roll put} {pop} ifelse + dup TBx1 lt {userdict /TBx1 3 -1 roll put} {pop} ifelse + grestore } if } def +/PopTextBox { newpath TBx1 TBxmargin sub TBy1 TBymargin sub M + TBx1 TBxmargin sub TBy2 TBymargin add L + TBx2 TBxmargin 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133 cm +79.5 -99.25 m 209.551 -131.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +96.801 -95.801 m 82.852 -100.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +93.398 -95 m 79.5 -99.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +209.551 -131.551 m 221.852 -127.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +227.648 -126.352 m 222.449 -127.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +222.449 -127.898 m 221.852 -127.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +106.25 -105.852 m 120.148 -101.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +120.148 -101.602 m 121.551 -101.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +123.449 -102.449 m 140.699 -106.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +142.699 -107.199 m 154.949 -110.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +153.949 -110 m 140.051 -114.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +145.75 -112.551 m 147.148 -112.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +143.801 -115.199 m 157.75 -110.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +157.148 -110.801 m 158.699 -111.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +139.5 -106.449 m 125.602 -110.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +157.102 -118.5 m 171 -114.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +160.898 -111.75 m 172 -114.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +174.148 -115.051 m 181.699 -116.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +180.699 -116.648 m 166.801 -120.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +178.699 -123.852 m 192.602 -119.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +192.602 -119.602 m 183.648 -117.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +66.398 -90.949 m 84.25 -95.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +78.5 -93.949 m 86.148 -91.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +72.75 -92.5 m 80.398 -90.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +79.25 -89.898 m 81.602 -90.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +84 -91.051 m 87.352 -91.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +89.551 -92.449 m 91.898 -93 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +91.898 -93 m 81.551 -96.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +79.602 -96.801 m 74.102 -98.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +76.75 -97.648 m 63.102 -94.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +60.898 -93.75 m 58.949 -93.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +53.398 -94.949 m 71.199 -99.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +72.301 -99.051 m 70.352 -99.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +68.352 -100.25 m 64.102 -101.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +64.648 -101.398 m 50.75 -97.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +48.602 -97.398 m 46.801 -96.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +53.148 -98.551 m 49.949 -99.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +43.602 -97.949 m 61.398 -102.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +62.301 -102.102 m 22.199 -114.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +20.051 -115 m 19 -115.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +49.551 -108.398 m 61.25 -111.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +53.852 -107.102 m 65.5 -110 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +76.852 -89.301 m 74.102 -88.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +115.551 -91.398 m 109.801 -89.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +219.102 -117.102 m 213.949 -115.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +9.699 -108.301 m 27.551 -112.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +227.801 -126.25 m 233.148 -124.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +107.801 -91.25 m 114.398 -89.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +102.699 -92.25 m 106.801 -91 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +106.801 -91 m 116.5 -93.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +107.648 -93.449 m 111.75 -92.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +214.699 -117.801 m 217.898 -116.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +220.75 -115.898 m 217.898 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-62.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +77.449 -58.148 m 1.148 -81.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +85.398 -60.148 m 86.301 -59.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +88.25 -59.25 m 94.852 -57.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +96.801 -56.648 m 98.949 -56 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +88.25 -59.25 m 95.199 -61 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +97.352 -61.551 m 99.352 -62 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +99.148 -61.949 m 105.75 -59.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +107.699 -59.352 m 109.852 -58.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +102.301 -62.75 m 105.102 -63.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +107.051 -63.949 m 109.852 -64.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +102.699 -62.852 m 106.801 -61.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +106.801 -61.602 m 116.5 -64 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +112.398 -65.25 m 123.051 -62 l S Q +[ 0.5 0.75] 0 d 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133 cm +189.602 -84.449 m 200.301 -81.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +205.051 -82.352 m 194.352 -85.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +193.352 -85.352 m 197.5 -86.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +199.699 -86.949 m 200.898 -87.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +200.898 -87.25 m 211.602 -83.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +212.602 -84.199 m 201.898 -87.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +201.898 -87.5 m 204.852 -88.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +206 -86.199 m 215.699 -88.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +211.699 -87.648 m 207.602 -88.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +215.699 -88.648 m 211.602 -89.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +215.148 -90.75 m 225.852 -87.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +218.898 -87.648 m 212.949 -86.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +220.301 -95.102 m 209.602 -92.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +209.602 -92.449 m 206.051 -93.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +206.051 -93.551 m 198.352 -91.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +196.148 -91.102 m 194.75 -90.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +193.5 -87.102 m 180.449 -83.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +180.449 -83.852 m 177.398 -84.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +177.398 -84.75 m 190.449 -88 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +192.602 -90.199 m 174.352 -85.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +172.199 -85.148 m 160.898 -82.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +158.699 -81.801 m 157.148 -81.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +154.949 -80.852 m 146.25 -78.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +144.051 -78.148 m 134.148 -75.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +132.199 -75.199 m 123.449 -73.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +121.352 -72.5 m 118.148 -71.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +116.199 -71.25 m 96.801 -66.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +93.398 -65.602 m 79.5 -69.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +91.199 -72.75 m 82.852 -70.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +75.602 -71.051 m 74 -71.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +72.199 -72.102 m 69.699 -72.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +75.602 -71.051 m 87.25 -73.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +71.102 -72.398 m 82.801 -75.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +67.898 -73.398 m 64.148 -74.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +66.852 -73.699 m 78.551 -76.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +62.199 -75.148 m 59.898 -75.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +61.301 -75.398 m 73 -78.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +57.949 -76.449 m 55.602 -77.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +57.051 -76.699 m 68.699 -79.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +53.648 -77.75 m 48.5 -79.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +52.75 -78.051 m 64.449 -80.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +46.699 -79.898 m 44.551 -80.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +45.102 -80.398 m 56.75 -83.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +42.25 -81.25 m 26.352 -86.102 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +24.25 -86.75 m 23.352 -87.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +33.148 -84.051 m 44.852 -86.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +37.898 -85.199 m 47 -82.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +42.25 -81.25 m 47 -82.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +50.551 -83.301 m 45.199 -84.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +19 -85.949 m 20.051 -85.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +22 -85.051 m 28.602 -83 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +30.551 -82.398 m 37.699 -80.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +39.648 -79.648 m 46.102 -77.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +47.852 -77.102 m 55 -74.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +56.949 -74.352 m 62.5 -72.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +64.25 -72.102 m 65.852 -71.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +67.5 -71.102 m 80.301 -67.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +82.102 -66.648 m 84.25 -66 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +86.051 -65.449 m 95.301 -62.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +91.75 -63.699 m 73.898 -59.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +81.852 -61.25 m 76.102 -63 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +74.352 -63.5 m 73.25 -63.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +65.352 -61.898 m 83.148 -66.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +55.551 -64.898 m 57.102 -65.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +59.301 -65.801 m 73.352 -69.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +64.648 -72 m 50.551 -68.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +48.602 -68 m 46.801 -67.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +43.602 -68.551 m 61.398 -72.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +53.148 -69.148 m 49.949 -70.102 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +34.852 -71.199 m 52.699 -75.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +27.199 -73.551 m 45 -78 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +18.449 -76.25 m 36.25 -80.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +9.898 -78.852 m 27.699 -83.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +96.801 -66.398 m 82.852 -70.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +120.148 -72.199 m 117.852 -72.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +115.852 -73.551 m 106.25 -76.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +117.148 -79.199 m 131 -74.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +143.051 -77.949 m 129.148 -82.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +140.051 -84.898 m 153.949 -80.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +145.75 -83.148 m 147.148 -83.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +148.949 -83.949 m 149.551 -84.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +157.75 -81.551 m 143.801 -85.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +170.801 -84.801 m 156.898 -89.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +181.051 -95.051 m 182.852 -94.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +184.602 -93.949 m 194.949 -90.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +206.051 -93.551 m 192.148 -97.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +99.449 -63.648 m 96.051 -64.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +96.051 -64.648 m 117.852 -70.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +117.852 -70.051 m 121.25 -69.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +121.25 -69.051 m 99.449 -63.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +200.898 -87.25 m 201.898 -87.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +107.801 -61.852 m 111 -60.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +111 -60.852 m 114.398 -59.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +214.699 -88.398 m 217.898 -87.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +221.301 -86.352 m 217.898 -87.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +46.301 -82.648 m 49.852 -83.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +49.852 -83.551 m 53.199 -84.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +188.699 -87.551 m 191.699 -86.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +92.148 -65.949 m 95.551 -66.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +80.75 -69.449 m 84.102 -70.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +220.301 -95.102 m 219.051 -95.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +226 -97.199 m 219.051 -95.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +228.949 -96.75 m 229.699 -96.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +77.449 -31.898 m 1.148 -55.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +1.148 -55.25 m 19 -59.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +19 -59.648 m 27.199 -57.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +29.301 -56.5 m 30.75 -56.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +30.75 -56.051 m 12.898 -51.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +30.75 -56.051 m 32.699 -55.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +34.5 -54.898 m 57.648 -47.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +59.301 -47.352 m 61.398 -46.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +64.648 -45.699 m 68 -44.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +69.801 -44.102 m 88 -38.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +89.75 -38 m 95.301 -36.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +73.898 -32.949 m 91.75 -37.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +64.648 -45.699 m 63.648 -45.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +61.648 -44.949 m 50.75 -42.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +48.602 -41.699 m 46.801 -41.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +61.398 -46.648 m 43.602 -42.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +95.301 -36.301 m 76.102 -31.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +85.398 -33.852 m 86.102 -33.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +89.852 -33.352 m 85.852 -32.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +85.852 -32.398 m 92.449 -30.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +92 -33.898 m 95.199 -34.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +99.602 -32.148 m 93 -34.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +97.352 -35.25 m 99.551 -35.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +105.75 -33.648 m 99.148 -35.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +94.449 -29.75 m 96.551 -29.102 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +101.551 -31.551 m 103.699 -30.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +107.699 -33.051 m 109.852 -32.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +89.648 -27.398 m 76.102 -31.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +19 -59.648 m 35 -63.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +35 -63.648 m 91.199 -46.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +81.051 -49.551 m 69.352 -46.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +45.102 -54.102 m 56.75 -57 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +50.551 -57 m 44.852 -58.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +42.25 -54.949 m 47 -56.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +47 -56.148 m 37.898 -58.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +33.148 -57.75 m 44.852 -60.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +42.25 -54.949 m 26.352 -59.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +45.102 -54.102 m 46.699 -53.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +48.5 -53.051 m 66.148 -47.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +67.898 -47.102 m 69.352 -46.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +82.852 -44.398 m 209.75 -75.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +209.75 -75.898 m 243.449 -65.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +243.449 -65.551 m 89.648 -27.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +182.199 -58 m 194.102 -60.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +194.102 -60.949 m 191.051 -61.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +191.051 -61.852 m 179.199 -58.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +53.148 -42.852 m 49.949 -43.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +57.648 -45.75 m 58.551 -45.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +102.102 -36.398 m 105.102 -37.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +107.648 -37.801 m 109.852 -38.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +106.801 -35.301 m 102.699 -36.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +106.801 -35.301 m 116.5 -37.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +107.648 -37.801 m 111.75 -36.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +123.051 -35.699 m 112.398 -38.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +112.398 -38.949 m 124.449 -41.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +124.449 -41.949 m 132.102 -39.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +134.051 -39 m 135.148 -38.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +139.102 -39.648 m 128.398 -42.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +128.398 -42.949 m 133.352 -44.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +135.352 -44.648 m 138.102 -45.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +136.5 -44.949 m 147.199 -41.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +140.301 -45.898 m 142.051 -46.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +141.301 -46.148 m 151.949 -42.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +144.25 -46.898 m 147.801 -47.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +146.25 -47.352 m 156.949 -44.102 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +150 -48.301 m 153.75 -49.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +151 -48.551 m 161.699 -45.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +155.949 -49.801 m 159.699 -50.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +157.102 -50.051 m 167.801 -46.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +161.852 -51.25 m 164.648 -51.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +163.051 -51.551 m 173.75 -48.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +166.801 -52.5 m 169.602 -53.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +171.75 -53.699 m 173.75 -54.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +167.801 -52.75 m 178.5 -49.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +175.949 -54.75 m 180.102 -55.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +180.102 -55.75 m 190.801 -52.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +191.602 -52.699 m 180.898 -55.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +180.898 -55.949 m 188.801 -57.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +191 -58.5 m 197.699 -60.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +191.949 -58.699 m 202.648 -55.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +199.699 -60.648 m 200.898 -60.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +200.898 -60.949 m 211.602 -57.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +212.602 -57.898 m 201.898 -61.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +201.898 -61.199 m 204.852 -61.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +206 -59.949 m 215.699 -62.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +215.699 -62.352 m 211.602 -63.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +211.699 -61.352 m 207.602 -62.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +212.949 -59.898 m 218.898 -61.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +218.699 -65.352 m 221.5 -66.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +223.648 -66.602 m 232.75 -68.852 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +219.898 -65.648 m 226.852 -63.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +228.801 -62.949 m 230.602 -62.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +225.852 -61.199 m 224.051 -61.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +222.102 -62.352 m 215.148 -64.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +216.75 -64.852 m 215.148 -64.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +99.449 -37.352 m 96.051 -38.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +96.051 -38.352 m 117.852 -43.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +117.852 -43.801 m 121.25 -42.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +121.25 -42.75 m 99.449 -37.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +93.398 -39.301 m 79.5 -43.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +97.75 -40.352 m 96.801 -40.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +96.801 -40.148 m 82.852 -44.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +99.949 -40.898 m 120.148 -45.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +120.148 -45.949 m 117.852 -46.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +115.852 -47.25 m 106.25 -50.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +120.148 -45.949 m 129 -48.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +131.199 -48.699 m 133.551 -49.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +132.199 -48.949 m 129.852 -49.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +128.102 -50.199 m 118.301 -53.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +135.75 -49.801 m 138.301 -50.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +140.5 -51 m 142.898 -51.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +141.898 -51.352 m 139.551 -52.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +137.148 -50.148 m 123.199 -54.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +137.801 -52.602 m 128 -55.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +145.25 -52.148 m 154.949 -54.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +153.949 -54.352 m 140.051 -58.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +145.75 -56.852 m 147.148 -57.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +143.801 -59.5 m 157.75 -55.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +157.148 -55.102 m 158.699 -55.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +161.102 -56.102 m 173 -59.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +170.801 -58.5 m 156.898 -62.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +175.148 -59.602 m 183.852 -61.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +181.699 -61.199 m 167.801 -65.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +186.051 -62.301 m 201.301 -66.102 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +203.5 -66.602 m 206.051 -67.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +183.449 -50.699 m 172.75 -53.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +115.551 -35.699 m 109.801 -34.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +171.301 -55.148 m 160.199 -52.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +160.199 -52.398 m 156.801 -53.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +156.801 -53.449 m 167.898 -56.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +27.898 -47.051 m 45.699 -51.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +209.602 -66.148 m 227.25 -70.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +206.051 -67.25 m 192.148 -71.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +200.898 -60.949 m 201.898 -61.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +180.102 -55.75 m 180.898 -55.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +107.801 -35.551 m 111 -34.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +111 -34.551 m 114.398 -33.551 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +214.699 -62.102 m 217.898 -61.102 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +221.301 -60.051 m 217.898 -61.102 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +46.301 -56.352 m 49.852 -57.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +49.852 -57.25 m 53.199 -58.102 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +166.148 -55.852 m 169.898 -54.75 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +180.602 -59.352 m 183.949 -58.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +92.148 -39.648 m 95.551 -40.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +80.75 -43.148 m 84.102 -44 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +209.602 -66.148 m 206.051 -67.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +153.949 -28.051 m 140.051 -32.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +157.75 -28.949 m 143.801 -33.25 l S Q 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0 133 cm +107.648 -11.551 m 109.852 -12.102 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +123.051 -9.449 m 112.398 -12.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +129.398 -16.898 m 140.102 -13.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +171.398 -21.398 m 160.699 -24.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +190.801 -26.199 m 180.102 -29.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +206 -33.648 m 215.699 -36.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +215.699 -36.051 m 211.602 -37.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +211.699 -35.051 m 207.602 -36.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +225.852 -34.898 m 215.148 -38.199 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +115.852 -20.949 m 106.25 -23.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +120.148 -19.648 m 117.852 -20.352 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +35 -37.352 m 1.148 -28.949 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +89.648 -1.148 m 76.102 -5.301 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +76.102 -5.301 m 85.398 -7.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +85.398 -7.602 m 86.102 -7.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +212.602 -31.602 m 201.898 -34.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +45.102 -27.801 m 56.75 -30.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +44.852 -34.352 m 33.148 -31.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +57.5 -21.602 m 36.801 -27.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +88 -12.301 m 69.801 -17.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +68 -18.352 m 64.648 -19.398 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +64.648 -19.398 m 63.648 -19.148 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +124.5 -23 m 114.75 -26 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +141.699 -27.148 m 131.75 -30.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +159.551 -31.699 m 149.75 -34.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +175.199 -35.602 m 165.398 -38.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +192.051 -39.75 m 182.25 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0.75] 0 d +q 1 0 0 1 0 133 cm +169.602 -31.898 m 172.801 -32.699 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +171 -32.25 m 157.102 -36.5 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +35.051 -28.449 m 31.102 -29.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +15.398 -24.602 m 33.25 -29 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +185.852 -24.949 m 179.051 -27.051 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +175.75 -28.398 m 174.148 -28 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +174.301 -25.852 m 181.102 -23.801 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +157.5 -23.852 m 149.602 -21.898 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +147.398 -21.352 m 144.25 -20.602 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +175.148 -28.25 m 177.102 -27.648 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +146.25 -21.051 m 148.199 -20.449 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +141.301 -19.852 m 143.25 -19.25 l S Q +[ 0.5 0.75] 0 d +q 1 0 0 1 0 133 cm +140.301 -19.602 m 142.051 -20.051 l S Q +[ 0.5 0.75] 0 d +q 1 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stringwidth pop -2 div vshift R + Blacktext {gsave 0 setgray textshow grestore} {textshow} ifelse} def +/UP {dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def + /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def} def +/DL {Color {setrgbcolor Solid {pop []} if 0 setdash} + {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse} def +/BL {stroke userlinewidth 2 mul setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/AL {stroke userlinewidth 2 div setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/UL {dup gnulinewidth mul /userlinewidth exch def + dup 1 lt {pop 1} if 10 mul /udl exch def} def +/PL {stroke userlinewidth setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +3.8 setmiterlimit +% Classic Line colors (version 5.0) +/LCw {1 1 1} def +/LCb {0 0 0} def +/LCa {0 0 0} def +/LC0 {1 0 0} def +/LC1 {0 1 0} def +/LC2 {0 0 1} def +/LC3 {1 0 1} def +/LC4 {0 1 1} def +/LC5 {1 1 0} def +/LC6 {0 0 0} def +/LC7 {1 0.3 0} def +/LC8 {0.5 0.5 0.5} def +% Default dash patterns (version 5.0) +/LTw {PL [] 1 setgray} def +/LTb {BL [] LCb DL} def +/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def +/LT0 {PL [] LC0 DL} def +/LT1 {PL [2 dl1 3 dl2] LC1 DL} def +/LT2 {PL [1 dl1 1.5 dl2] LC2 DL} def +/LT3 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC3 DL} def +/LT4 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def +/LT5 {PL [4 dl1 2 dl2] LC5 DL} def +/LT6 {PL [1.5 dl1 1.5 dl2 1.5 dl1 1.5 dl2 1.5 dl1 6 dl2] LC6 DL} def +/LT7 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC7 DL} def +/LT8 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC8 DL} def +/SL {[] 0 setdash} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse + clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse +dup 2 lt + {/InterpretLevel1 true def + /InterpretLevel3 false def} + {/InterpretLevel1 Level1 def + 2 gt + {/InterpretLevel3 Level3 def} + {/InterpretLevel3 false def} + ifelse } + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> matrix makepattern +/Pat1 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke + 0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke} +>> matrix makepattern +/Pat2 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L + 8 8 L 8 0 L 0 0 L fill} +>> matrix makepattern +/Pat3 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L + 0 12 M 12 0 L stroke} +>> matrix makepattern +/Pat4 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L + 0 -4 M 12 8 L stroke} +>> matrix makepattern +/Pat5 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L + 0 12 M 8 -4 L 4 12 M 10 0 L stroke} +>> matrix makepattern +/Pat6 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L + 0 -4 M 8 12 L 4 -4 M 10 8 L stroke} +>> matrix makepattern +/Pat7 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L + 12 0 M -4 8 L 12 4 M 0 10 L stroke} +>> matrix makepattern +/Pat8 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L + -4 0 M 12 8 L -4 4 M 8 10 L stroke} +>> matrix makepattern +/Pat9 exch def +/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def +/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def +/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def +/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def +/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def +/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def +/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def +} def +% +% +%End of PostScript Level 2 code +% +/PatternBgnd { + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse +} def +% +% Substitute for Level 2 pattern fill codes with +% grayscale if Level 2 support is not selected. +% +/Level1PatternFill { +/Pattern1 {0.250 Density} bind def +/Pattern2 {0.500 Density} bind def +/Pattern3 {0.750 Density} bind def +/Pattern4 {0.125 Density} bind def +/Pattern5 {0.375 Density} bind def +/Pattern6 {0.625 Density} bind def +/Pattern7 {0.875 Density} bind def +} def +% +% Now test for support of Level 2 code +% +Level1 {Level1PatternFill} {Level2PatternFill} ifelse +% +/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont +dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall +currentdict end definefont pop +% +Level1 SuppressPDFMark or +{} { +/SDict 10 dict def +systemdict /pdfmark known not { + userdict /pdfmark systemdict /cleartomark get put +} if +SDict begin [ + /Title (paths.tex) + /Subject (gnuplot plot) + /Creator (gnuplot 5.0 patchlevel 1) + /Author (kazu) +% /Producer (gnuplot) +% /Keywords () + /CreationDate (Thu Feb 25 09:44:48 2016) + /DOCINFO pdfmark +end +} ifelse +end +% +% Support for boxed text - Ethan A Merritt May 2005 +% +/InitTextBox { userdict /TBy2 3 -1 roll put userdict /TBx2 3 -1 roll put + userdict /TBy1 3 -1 roll put userdict /TBx1 3 -1 roll put + /Boxing true def } def +/ExtendTextBox { Boxing + { gsave dup false charpath pathbbox + dup TBy2 gt {userdict /TBy2 3 -1 roll put} {pop} ifelse + dup TBx2 gt {userdict /TBx2 3 -1 roll put} {pop} ifelse + dup TBy1 lt {userdict /TBy1 3 -1 roll put} {pop} ifelse + dup TBx1 lt {userdict /TBx1 3 -1 roll put} {pop} ifelse + grestore } if } def +/PopTextBox { newpath TBx1 TBxmargin sub TBy1 TBymargin sub M + TBx1 TBxmargin sub TBy2 TBymargin add L + TBx2 TBxmargin add TBy2 TBymargin add L + TBx2 TBxmargin add TBy1 TBymargin sub L closepath } def +/DrawTextBox { PopTextBox stroke 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c 748.48 413.532 748.277 413.036 + 748.277 412.525 c 748.277 412.009 748.48 411.521 748.844 411.154 c 749.207 + 410.79 749.703 410.591 750.211 410.591 c f +0 g +750.211 410.591 m 750.727 410.591 751.219 410.79 751.582 411.154 c 751.945 + 411.521 752.148 412.009 752.148 412.525 c 752.148 413.036 751.945 413.532 + 751.582 413.892 c 751.219 414.255 750.727 414.458 750.211 414.458 c 749.703 + 414.458 749.207 414.255 748.844 413.892 c 748.48 413.532 748.277 413.036 + 748.277 412.525 c 748.277 412.009 748.48 411.521 748.844 411.154 c 749.207 + 410.79 749.703 410.591 750.211 410.591 c h +750.211 410.591 m S +0 0 1 rg +515.309 385.505 m 515.82 385.505 516.312 385.708 516.676 386.072 c 517.039 + 386.435 517.242 386.923 517.242 387.439 c 517.242 387.954 517.039 388.447 + 516.676 388.81 c 516.312 389.169 515.82 389.376 515.309 389.376 c 514.793 + 389.376 514.301 389.169 513.938 388.81 c 513.574 388.447 513.371 387.954 + 513.371 387.439 c 513.371 386.923 513.574 386.435 513.938 386.072 c 514.301 + 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-126 re W n +[ 1 0 0 1 0 -0.104248 ] concat + q +0 g +0.432916 w +0 J +1 j +[ 5.194973 5.194973] 0 d +10 M q 1 0 0 1 0 573 cm +634.211 -201.531 m 634.211 -76.391 l S Q + Q +Q +Q q +0 g +0.432916 w +0 J +1 j +[] 0.0 d +10 M 634.211 371.365 m 634.211 374.829 l S +634.211 496.505 m 634.211 493.04 l S +Q q +718.664 496.505 1.73 -125.199 re W n +q +718 496.896 3 -126 re W n +[ 1 0 0 1 0 -0.104248 ] concat + q +0 g +0.432916 w +0 J +1 j +[ 5.194973 5.194973] 0 d +10 M q 1 0 0 1 0 573 cm +719.656 -201.531 m 719.656 -76.391 l S Q + Q +Q +Q q +0 g +0.432916 w +0 J +1 j +[] 0.0 d +10 M 719.656 371.365 m 719.656 374.829 l S +719.656 496.505 m 719.656 493.04 l S +Q q +804.379 496.505 1.734 -125.199 re W n +q +804 496.896 3 -126 re W n +[ 1 0 0 1 0 -0.104248 ] concat + q +0 g +0.432916 w +0 J +1 j +[ 5.194973 5.194973] 0 d +10 M q 1 0 0 1 0 573 cm +805.102 -201.531 m 805.102 -76.391 l S Q + Q +Q +Q q +0 g +0.432916 w +0 J +1 j +[] 0.0 d +10 M 805.102 371.365 m 805.102 374.829 l S +805.102 496.505 m 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See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def +/Copyright (Copyright URW Software, Copyright 1997 by URW) readonly def +/FullName (Standard Symbols L) readonly def +/FamilyName (Standard Symbols L) readonly def +/Weight (Regular) readonly def +/ItalicAngle 0.0 def +/isFixedPitch false def +/UnderlinePosition -229 def +/UnderlineThickness 46 def +end readonly def +/FontName /f-1-1 def +/PaintType 0 def +/WMode 0 def +/FontBBox {-180 -293 1090 1010} readonly def +/FontType 1 def +/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 2 /kappa put +dup 1 /pi put +readonly def + +currentdict end +currentfile eexec f983ef0097ece636fb4a96c74d26ab841857efbe2179942052756bce860a4f4005138cec2526b0 +19bce1bc3e48958b62baa40350b561faa0ce363da081b1a62936e44a17c62d23a32d5043f57639 +6be740c875ef932e1b83ef2a9e4a7d82a5537de4dfc822ec99edecbb1de7e7ba09a85eb14c2c19 +02639220727811671bb5e35a87cc7d38ba649a7b2d6378caf2ca08f669e1ee26ac20900badf823 +90f34f886b047da9926c7178d0f6701b0a6bf63137bf380d5ed5e2b6a90f182399066a34d447a1 +f645ea652bb802b51defe9da4ba8df137915e02bfd856ebab0825734f71b78412252dc1ff3a6c1 +ad26ecc2de156bbcad7aaec8905dc7189a230d5090360c078b65438ed69add5077ffe62275a118 +30d38d90ee4ba0c7256b170eef78ec4db0f7c622bc4770a0795e0c590b2ab9d3c7bfeb9ec4a241 +bc9f2688115a687c3e4279e7183886bca9db4a314ae9b1fe317be959c8f982ff807ff0eeec10cf +cb41f5459775e117bbbd23cdb64b4afadf6f905f5ea191eb947a320e599abecd68f529ede27660 +b5fad4a9a9e8091ca0a060e100a54237a3c53f9b74b1226e2663a6c31672b10c3d7ddcdebca4f8 +aae70879af72b608349cf300182944d1455b7e61c8ed8bb3a101e18c61d29b559c1425253c277e +46f1bcff5840e34abfb80762b57f8ab1cb8cd9c4065b3c4660db0c50efb7b958873b67e30ecca5 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+0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark + +%%EndResource +%%BeginResource: font NimbusRomNo9L-Regu +%!PS-AdobeFont-1.0: NimbusRomNo9L-Regu 1.06 +%%Title: NimbusRomNo9L-Regu +%Version: 1.06 +%%CreationDate: Thu Aug 2 13:14:49 2007 +%%Creator: frob +%Copyright: Copyright (URW)++,Copyright 1999 by (URW)++ Design & +%Copyright: Development; Cyrillic glyphs added by Valek Filippov (C) +%Copyright: 2001-2005 +% Generated by FontForge 20070723 (http://fontforge.sf.net/) +%%EndComments + +FontDirectory/NimbusRomNo9L-Regu known{/NimbusRomNo9L-Regu findfont dup/UniqueID known pop false {dup +/UniqueID get 5020931 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse +11 dict begin +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /f-2-0 def +/FontBBox {-168 -281 1031 924 }readonly def + +/PaintType 0 def +/FontInfo 9 dict dup begin + /version (1.06) readonly def + /Notice (Copyright \050URW\051++,Copyright 1999 by \050URW\051++ Design & Development; Cyrillic glyphs added by Valek Filippov \050C\051 2001-2005) readonly def + /FullName (Nimbus Roman No9 L Regular) readonly def + /FamilyName (Nimbus Roman No9 L) readonly def + /Weight (Regular) readonly def + /ItalicAngle 0 def + /isFixedPitch false def + /UnderlinePosition -100 def + /UnderlineThickness 50 def +end readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 48 /zero put +dup 49 /one put +dup 50 /two put +dup 52 /four put +dup 54 /six put +dup 56 /eight put +dup 61 /equal put +dup 77 /M put +dup 98 /b put +dup 100 /d put +dup 101 /e put +dup 102 /f put +dup 105 /i put +dup 110 /n put +dup 111 /o put +dup 112 /p put +dup 114 /r put +dup 115 /s put +dup 116 /t put +dup 117 /u put +dup 118 /v put +dup 120 /x put +readonly def +currentdict end +currentfile eexec 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+1,103 @@ + +\newcommand{\mAvgSquaredError}{\ensuremath{\overline{e}}} + +\newcommand{\mLogDistGamma}{\ensuremath{\gamma}} +\newcommand{\mLogDistTX}{TX} + +\newcommand{\mDongle}[1]{\ensuremath{D_{#1}}} +%\newcommand{\mDongle}{d} % dongle +\newcommand{\mBeacon}[1]{\ensuremath{B_{#1}}} % beacon + +\newcommand{\mRssi}{\ensuremath{s}} % client's signal-strength measurement +\newcommand{\mMdlRSSI}{\ensuremath{\varsigma}} % model's signal-strength + +\newcommand{\mPosAP}{\varrho} % char for access point position vector +\newcommand{\mPos}{\rho} % char for positions + + +\newcommand{\mPosVec}{\vec{\mPos}} % position vector +\newcommand{\mRssiVec}{\vec{s}} % client signal strength measurements + +\newcommand{\mState}{q} % state variable +\newcommand{\mStateVec}{\vec{q}} % state vector variable +\newcommand{\mObs}{o} % observation variable +\newcommand{\mObsVec}{\vec{o}} % observation vector variable +\newcommand{\mObsWifi}{\vec{o}_{\text{wifi}}} % wifi observation + +\newcommand{\mProb}{p} % char for probability + +\newcommand{\mMovingAvgWithSize}[1]{\ensuremath{\text{avg}_{#1}}} + +%\newcommand{\docIBeacon}{iBeacon} + +% for equation references +\newcommand{\refeq}[1]{eq. \eqref{#1}} + +% add todo notes +\newcommand{\todo}[1]{% + \noindent% + \fcolorbox{black}{yellow}{% + \parbox[position]{0.45\textwidth}{% + \footnotesize% + {\bf TODO} #1% + }% + }% +} + +%comments +\newcommand{\commentByFrank}[1]{% + \noindent% + \fcolorbox{black}{cyan}{% + \parbox[position]{0.45\textwidth}{% + \footnotesize% + {\bf Frank:} #1% + }% + }% +} +\newcommand{\commentByLukas}[1]{% + \noindent% + \fcolorbox{black}{green}{% + \parbox[position]{0.45\textwidth}{% + \footnotesize% + {\bf Lukas:} #1% + }% + }% +} +\newcommand{\commentByToni}[1]{% + \noindent% + \fcolorbox{black}{red}{% + \parbox[position]{0.45\textwidth}{% + \footnotesize% + {\bf Toni:} #1% + }% + }% +} + +\newcommand{\docRSSI}{RSSI} +\newcommand{\docTX}{TX} +\newcommand{\docLogDist}{log-distance} + +%\newcommand{\docAP}{access-point} +%\newcommand{\docAPs}{access-points} + + + + +\newcommand{\R}{\mathbb{R}} +\newcommand{\N}{\mathbb{N}} + +\newcommand{\mPLE}{\ensuremath{\gamma}} % path-loss exponent +\newcommand{\mTXP}{\ensuremath{P_0}} % tx-power +\newcommand{\mWAF}{\ensuremath{\lambda}} % wall attenuation factor + +\newcommand{\mMdlDist}{\ensuremath{d}} % distance used within propagation models + +\newcommand{\mGraph}{\ensuremath{G}} +\newcommand{\mVertices}{\ensuremath{V}} +\newcommand{\mVertex}{\ensuremath{v}} +\newcommand{\mVertexB}{\ensuremath{w}} +\newcommand{\mEdges}{\ensuremath{E}} +\newcommand{\mEdge}{\ensuremath{e}} + + + diff --git a/presentation/misc/keywords.tex b/presentation/misc/keywords.tex new file mode 100644 index 0000000..2d928f2 --- /dev/null +++ b/presentation/misc/keywords.tex @@ -0,0 +1,31 @@ +% keyword macros +\newcommand{\docIBeacon}{iBeacon} + +% wifi naming +\newcommand{\wifiRSSI}{RSSI} +\newcommand{\wifiTxPower}{TX-Power} +\newcommand{\wifiPathLossExp}{PathLoss} + +\newcommand{\wifiPropLogScale}{Log-Scale} +\newcommand{\wifiPropLogScaleWalls}{Log-Scale-Walls} +\newcommand{\docLogDistance}{log-distance} +\newcommand{\docLogDistanceWalls}{wall-attenuation-factor} + + +% misc +\newcommand{\docTxPower}{TX-Power} +\newcommand{\docPathLossExp}{PathLoss} +\newcommand{\docPathLoss}{Pathloss} + +\newcommand{\docsAP}{AP} +\newcommand{\docAPshort}{AP} +\newcommand{\docAP}{access-point} +\newcommand{\docAPs}{access-points} + +\newcommand{\docWIFI}{Wi\hbox{-}Fi} +\newcommand{\docBeacon}{\Gls{Beacon}} +\newcommand{\docBeacons}{\Glspl{Beacon}} + +\newcommand{\docsRSSI}{RSSI} + +\newcommand{\docDSimplex}{downhill-simplex} diff --git a/presentation/pgfplotsthemetol.sty b/presentation/pgfplotsthemetol.sty new file mode 100644 index 0000000..05f4383 --- /dev/null +++ b/presentation/pgfplotsthemetol.sty @@ -0,0 +1,123 @@ +%% +%% This is file `pgfplotsthemetol.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% pgfplotsthemetol.dtx (with options: `package') +%% --------------------------------------------------------------------------- +%% Copyright 2015 Matthias Vogelgesang and the LaTeX community. A full list of +%% contributors can be found at +%% +%% https://github.com/matze/mtheme/graphs/contributors +%% +%% and the original template was based on the HSRM theme by Benjamin Weiss. +%% +%% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 +%% International License (https://creativecommons.org/licenses/by-sa/4.0/). +%% --------------------------------------------------------------------------- +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{pgfplotsthemetol} + [2015/06/16 PGFplots colors based on Paul Tol's SRON technical note] +\definecolor{TolDarkPurple}{HTML}{332288} +\definecolor{TolDarkBlue}{HTML}{6699CC} +\definecolor{TolLightBlue}{HTML}{88CCEE} +\definecolor{TolLightGreen}{HTML}{44AA99} +\definecolor{TolDarkGreen}{HTML}{117733} +\definecolor{TolDarkBrown}{HTML}{999933} +\definecolor{TolLightBrown}{HTML}{DDCC77} +\definecolor{TolDarkRed}{HTML}{661100} +\definecolor{TolLightRed}{HTML}{CC6677} +\definecolor{TolLightPink}{HTML}{AA4466} 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xmajorgrids=true, + ymajorgrids=true, + major grid style={dotted}, + axis x line=bottom, + axis y line=left, + legend style={ + cells={anchor=west}, + draw=none + }, + cycle list name=mlineplot cycle, + }, + mbarplot base/.style={ + mbaseplot, + bar width=6pt, + axis y line*=none, + }, + mbarplot/.style={ + mbarplot base, + ybar, + xmajorgrids=false, + ymajorgrids=true, + area legend, + legend image code/.code={% + \draw[#1] (0cm,-0.1cm) rectangle (0.15cm,0.1cm); + }, + cycle list name=mbarplot cycle, + }, + horizontal mbarplot/.style={ + mbarplot base, + xmajorgrids=true, + ymajorgrids=false, + xbar stacked, + area legend, + legend image code/.code={% + \draw[#1] (0cm,-0.1cm) rectangle (0.15cm,0.1cm); + }, + cycle list name=mbarplot cycle, + }, + mbaseplot/.style={ + legend style={ + draw=none, + fill=none, + cells={anchor=west}, + }, + x tick label style={ + font=\footnotesize + }, + y tick label style={ + font=\footnotesize + }, + legend style={ + font=\footnotesize + }, + major 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