Index: doc/theses/mike_brooks_MMath/Makefile =================================================================== --- doc/theses/mike_brooks_MMath/Makefile (revision 2581f1e470681f2114352c203ac50173672b3d5c) +++ doc/theses/mike_brooks_MMath/Makefile (revision 1abcec9b6adf2ed1d9f833ccc39e3e9f529c3d52) @@ -100,4 +100,10 @@ -include $(Plots)/*.d +${Build}/plot-%.sum.dat ${Build}/plot-%.det.dat: ${Plots}/%.py ${Plots}/common.py ${Plots}/ListCommon.py ${Plots}/%.py.INPUTS | ${Build} + python3 $< ${Build}/plot-$*.sum.dat ${Build}/plot-$*.det.dat + +${Build}/plot-%.dat: ${Plots}/%.py ${Plots}/common.py ${Plots}/ListCommon.py ${Plots}/%.py.INPUTS | ${Build} + python3 $< > $@ + ${Build}/plot-%.dat: ${Plots}/%.py ${Plots}/common.py ${Plots}/ListCommon.py ${Plots}/%.py.INPUTS | ${Build} python3 $< > $@ Index: doc/theses/mike_brooks_MMath/list.tex =================================================================== --- doc/theses/mike_brooks_MMath/list.tex (revision 2581f1e470681f2114352c203ac50173672b3d5c) +++ doc/theses/mike_brooks_MMath/list.tex (revision 1abcec9b6adf2ed1d9f833ccc39e3e9f529c3d52) @@ -1034,6 +1034,5 @@ \includegraphics{plot-list-1ord.pdf} \caption{Histogram of operation durations, decomposed by all first-order effects. - Each of the three breakdowns divides the entire population of test results into its mutually disjoint constituents. - \MLB{missing: overlay of means}} + Each of the three breakdowns divides the entire population of test results into its mutually disjoint constituents.} \label{fig:plot-list-1ord} \end{figure} @@ -1046,5 +1045,5 @@ A similar situation comes from \VRef[Figure]{fig:plot-list-1ord}'s second comparison, by operation type. -Specific interactions like framework X doing better on stacks do occur; a selection of them is addressed in \MLB{TODO: cross reference}. +Specific interactions do occur, like framework X doing better on stacks than on queues; a selection of these is addressed in \VRef[Figure]{fig:plot-list-2ord} and discussed shortly. But they are so irrelevant to the issue of picking a winning framework that it is sufficient here to number the operations opaquely. Whether a given list implementation is suitable for a language's general library succeeds or fails without knowledge of whether your use will have stack or queue movement. @@ -1060,4 +1059,62 @@ As does a small size on the Intel typically beat a medium size on the AMD by 66\%. Framework choice is simply not where you stand to win or lose the most. + +\begin{figure} + \centering + \includegraphics{plot-list-2ord.pdf} + \caption{Histogram of operation durations, illustrating interactions with framework. + Each distribution shows how its framework reacts to a single other factor being varied across one pair of options. + Every (binned and mean-contributing) individual data point represents a pair of test setups, one with the criterion set to the option labelled at the top; the other setup uses the bottom option. + This point's y-axis score is the ratio of these setups' durations. + The point lands in a bin closer to the label of the option that performs better. + } + \label{fig:plot-list-2ord} +\end{figure} + +\VRef[Figure]{fig:plot-list-1ord} stays razor-focused on only first-order effects in order to contextualize a winner/loser framework observation. +But this perspective cannot address questions like, ``Where are \CFA's sore spots?'' +Moreover, the shallow threatment of operations by ordinals said nothing about how stack usage compares with queues'. + +\VRef[Figure]{fig:plot-list-2ord} provides such answers. +Its size-zone criterion refines the obvious notion that a small size runs faster than a big size; this issue is by how much. +Indeed, all means favour small and few tails favour medium. +But the various frameworks do no respond to the different sizes and machines uniformly. +On the AMD, \CFA and \uCpp have a modest size sensitivity, LQ-tailq's is moderate amd LQ-list seems unaffected. +On the Intel, \CFA's increases to moderate, while \uCpp is now unaffected, and both LQs have a dramatic response. +The Intel is more sensitive to size than the AMD. + +Turning next to movement and polarity, the responses appear more subdued. +Note that LQ-list has no represntation in these comparisons because it only supports stacks that push and pop with the first element. +\CFA is completely stable under movement and polarity changes. +\uCpp and LQ show modest responses favouring queues and insertion at last. + +Finally, with accessor, a \CFA sore spot emerges. +Note the pair of two-way comparisons pulled from the three experiment setups used. +First, the all-head/insert-element opposition addresses which insertion style is better---by-head (top) and by-element (bottom). +Then, the all-head/remove-element opposition addresses which removal style is better---by-head (top) and by-element (bottom). +The LQs favour insertion by head and removal by element. +\CFA and \uCpp favour both operations by head. +The strongest effect is \CFA's aversion to removal by element---certainly an opportunity for improvement. + +\begin{comment} + These remarks are mostly about 3ord over 2ord. +This analysis does not provide more detail about one framework beating another; it offers different benefits. +These interactions further illustrate the lottery-ticket unpredictability that a linked-list user inevitably faces, by revealing stronger-still performance swings hidden from the first-order view. +They illustrate the difficult signal-to-noise ratio that I had to overcome in preparing this data. +They may serve as a reference guiding future \CFA linked-list work by informing on where to target improvements. +Finally, the findings offer the conclusion that \CFA's list offers more consostent performance across usage scenarios, than the other lists. +\end{comment} + +\begin{comment} +Further to the interpretation guidance of \VRef[Figure]{fig:plot-list-2ord}'s caption, a comparison with the construction of \VRef[Figure]{fig:plot-list-1ord} may be helpful. +In the first-order graph, the factors being compared had many options: four, twelve and four. +# XXX Each option contributes its own, seemingly independent, mean and distribution. +# XXX But, in fact, they are not totally independent. +# WRONG: it's not just about binary, you also need a split on a conditioned factor + I'm trying to get to: +Side by side in earlier style, but they're opposites, so they mirror each other, so you take option B, flip it over, and have option A---I'll just show A +\end{comment} + + \MLB{ TODO: find a home for these original conclusions: @@ -1124,5 +1181,7 @@ \caption{Histogram of operation durations, decomposed by physical factors. Measurements are included from only the sizes in the ``small'' and ``medium'' stable zones. - This breakdown divides the entire population of test results into four mutually disjoint constituents.} + This breakdown divides the entire population of test results into four mutually disjoint constituents. + \MLB{I see that I broke it. But we might be getting rid of it.} + } \label{fig:plot-list-mchn-szz} \end{figure} @@ -1131,5 +1190,5 @@ Each of these four histograms shows variation in duration coming from the four specific sizes in a size zone, from combining results of all twelve operations and all four frameworks. Among the means of the four histograms, there is a standard deviation of 0.9 ns, which is 20\% of the global mean. -This variability is due solely to physial factors. +This variability is due solely to physical factors. From the perspective of assessing winning/losing frameworks, these physical effects are noise. Index: doc/theses/mike_brooks_MMath/plots/ListCommon.py =================================================================== --- doc/theses/mike_brooks_MMath/plots/ListCommon.py (revision 2581f1e470681f2114352c203ac50173672b3d5c) +++ doc/theses/mike_brooks_MMath/plots/ListCommon.py (revision 1abcec9b6adf2ed1d9f833ccc39e3e9f529c3d52) @@ -3,4 +3,5 @@ import math import os +import sys from subprocess import Popen, PIPE from scipy.stats import gmean @@ -265,4 +266,20 @@ return metadata +def printSingleSummaryFrom( measure, dfgrouped, *, + file = sys.stdout, + index = True, + end = '\n' ) : + aggregated = dfgrouped[measure].agg([ + ("gmean", gmean), "std", "min", "max", "count", + lambda x: x.quantile(0.025), + lambda x: x.quantile(0.16), + lambda x: x.quantile(0.5), + lambda x: x.quantile(0.84), + lambda x: x.quantile(0.975) + ]) + text = aggregated.to_csv(header=False, index=index, sep='\t') + print(text, file=file, end=end) + + swiftSweetspot = (lambda x: x > 16 and x < 150) # swiftSweetspot = (lambda x: x > 4 and x < 32) @@ -303,16 +320,6 @@ grouped = timings.groupby(['op_num', 'fx_num', 'fx']) - - aggregated = grouped[measure].agg( - ["mean", "std", "min", "max", "count", - lambda x: x.quantile(0.025), - lambda x: x.quantile(0.16), - lambda x: x.quantile(0.5), - lambda x: x.quantile(0.84), - lambda x: x.quantile(0.975)] - ) - - text = aggregated.to_csv(header=False, index=True, sep='\t') - print(text, end='') + printSingleSummaryFrom( measure, grouped, end ='' ) + def printSingleDetail( @@ -426,5 +433,7 @@ lateFilter = {}, # exclude from output drillOn = ['fx'], - marginalizeOn = None ): # None means match drill-on + marginalizeOn = None, # None means match drill-on + sumFile = sys.stdout, + detFile = sys.stdout ): if marginalizeOn == None: @@ -478,4 +487,14 @@ # print(mgroup, file=sys.stderr) + dkey_str = list( map( str, dkey ) ) + header = str.join(', ', dkey_str) + + dgroup_sole = dgroup.groupby((lambda _: 0)) + print(f'"{header}"', file=sumFile) + printSingleSummaryFrom( + c_measure, dgroup_sole, file=sumFile, index=False ) + print(file=sumFile) + print(file=sumFile) + histo_raw = dgroup[ c_measureBkt ].value_counts() for b in buckets: @@ -490,11 +509,9 @@ histo.insert(y_lo_col_loc + 1, "y_hi", histo["y_lo"].apply(topValOfBucketBotVal)) - dkey_str = list( map( str, dkey ) ) - header = str.join(', ', dkey_str) - print(f'"{header}"') + print(f'"{header}"', file=detFile) text = histo.to_csv(header=False, index=False, sep='\t') - print(text) - print() - print() + print(text, file=detFile) + print(file=detFile) + print(file=detFile) # print(f'"{header}" FULL') Index: doc/theses/mike_brooks_MMath/plots/list-1ord.d =================================================================== --- doc/theses/mike_brooks_MMath/plots/list-1ord.d (revision 2581f1e470681f2114352c203ac50173672b3d5c) +++ doc/theses/mike_brooks_MMath/plots/list-1ord.d (revision 1abcec9b6adf2ed1d9f833ccc39e3e9f529c3d52) @@ -1,2 +1,2 @@ -plots/list-1ord.gp.INPUTS: build/plot-list-1ord.dat | build +plots/list-1ord.gp.INPUTS: build/plot-list-1ord.sum.dat build/plot-list-1ord.det.dat | build plots/list-1ord.py.INPUTS: benchmarks/list/results-swift-general.csv Index: doc/theses/mike_brooks_MMath/plots/list-1ord.gp =================================================================== --- doc/theses/mike_brooks_MMath/plots/list-1ord.gp (revision 2581f1e470681f2114352c203ac50173672b3d5c) +++ doc/theses/mike_brooks_MMath/plots/list-1ord.gp (revision 1abcec9b6adf2ed1d9f833ccc39e3e9f529c3d52) @@ -15,21 +15,17 @@ set grid set nokey -set logscale y 2 -set yrange [0.4:3.0]; -set ytics ( \ - "+40%%" 1.666666667, \ - "+30%%" 1.428571429, \ - "+20%%" 1.25, \ - "+10%%" 1.111111111, \ - "0" 1, \ - "-20%%" 0.833333333, \ - "-40%%" 0.714285714, \ - "-60%%" 0.625, \ - "-80%%" 0.555555556, \ - "-100%%" 0.5, \ - "-130%%" 0.434782609, \ - "-160%%" 0.384615385, \ - "-200%%" 0.333333333 \ -) + +set ylabel "Duration (relative)" offset -1.0,0 +set logscale y (2**0.2) +set yrange [0.38:2.5]; +set format y "%.1f {/Symbol \264}" +set ytics (0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0, 2.4) + +# Draw fake x axis at y=1.0; use vertical-only bounding 'H' +unset border +set arrow from graph 0, first 1 to graph 1, first 1 nohead lt -1 lw 2 +set arrow 100 from graph 0, graph 0 to graph 0, graph 1 nohead lw 1 front +set arrow 101 from graph 1, graph 0 to graph 1, graph 1 nohead lw 1 front + set xrange [-5.5:17.5]; set xlabel "Machine, Size Zone; Operation; Framework; \nPrevalence Prevalence Prevalence" @@ -57,9 +53,5 @@ "LQ: tailq" 15, \ "LQ: list" 16, \ -) rotate by -45 - -set ylabel "Duration (relative)" offset -1.0,0 -set errorbars 2.0 -set pointintervalbox 0 +) scale 0 rotate by -45 barHtScale_phys = 0.05 @@ -67,6 +59,9 @@ barHtScale_fx = 0.05 +set errorbars 0 linewidth 4 +set pointintervalbox 0 -plot INDIR."/plot-list-1ord.dat" \ + +plot INDIR."/plot-list-1ord.det.dat" \ i 3 using (0):(0):(-1 - 1):(-1 - 1 + barHtScale_phys * $3):1:2 title columnheader(1) with boxxyerror fc rgb "black" fs transparent solid 0.15 noborder, \ '' i 2 using (0):(0):(-1 - 2):(-1 - 2 + barHtScale_phys * $3):1:2 title columnheader(1) with boxxyerror fc rgb "black" fs transparent solid 0.15 noborder, \ @@ -110,4 +105,27 @@ '' i 19 using (1 + 13 + barHtScale_fx * $3):2 notitle with steps lc rgb "dark-orange" lw 0.3, \ '' i 18 using (1 + 14 + barHtScale_fx * $3):2 notitle with steps lc rgb "magenta" lw 0.3, \ - '' i 17 using (1 + 15 + 3.5 * barHtScale_fx * $3):2 notitle with steps lc rgb "purple" lw 0.3 - + '' i 17 using (1 + 15 + 3.5 * barHtScale_fx * $3):2 notitle with steps lc rgb "purple" lw 0.3, \ +\ + INDIR."/plot-list-1ord.sum.dat" \ + i 3 using (-1 - 1):1:(-1 - 1):(-1 - 1 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 2 using (-1 - 2):1:(-1 - 2):(-1 - 2 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 1 using (-1 - 3):1:(-1 - 3):(-1 - 3 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 0 using (-1 - 4):1:(-1 - 4):(-1 - 4 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ +\ + '' i 10 using ( 0):1:( 0):( 0 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 11 using ( 1):1:( 1):( 1 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 12 using ( 2):1:( 2):( 2 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 13 using ( 3):1:( 3):( 3 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 14 using ( 4):1:( 4):( 4 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 15 using ( 5):1:( 5):( 5 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 4 using ( 6):1:( 6):( 6 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 5 using ( 7):1:( 7):( 7 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 6 using ( 8):1:( 8):( 8 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 7 using ( 9):1:( 9):( 9 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 8 using ( 10):1:( 10):( 10 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ + '' i 9 using ( 11):1:( 11):( 11 + .8) notitle with xerrorbars lc rgb "black" pt 5 ps 0.8, \ +\ + '' i 16 using (1 + 12):1:(1 + 12):(1 + 12 + .8) notitle with xerrorbars lc rgb "blue" pt 7 ps 1.0, \ + '' i 19 using (1 + 13):1:(1 + 13):(1 + 13 + .8) notitle with xerrorbars lc rgb "dark-orange" pt 9 ps 1.2, \ + '' i 18 using (1 + 14):1:(1 + 14):(1 + 14 + .8) notitle with xerrorbars lc rgb "magenta" pt 11 ps 1.2, \ + '' i 17 using (1 + 15):1:(1 + 15):(1 + 15 + .8) notitle with xerrorbars lc rgb "dark-violet" pt 13 ps 1.4 Index: doc/theses/mike_brooks_MMath/plots/list-1ord.py =================================================================== --- doc/theses/mike_brooks_MMath/plots/list-1ord.py (revision 2581f1e470681f2114352c203ac50173672b3d5c) +++ doc/theses/mike_brooks_MMath/plots/list-1ord.py (revision 1abcec9b6adf2ed1d9f833ccc39e3e9f529c3d52) @@ -6,4 +6,7 @@ sys.path.insert(0, os.path.dirname(__file__)) from ListCommon import * + +sumFile = open( sys.argv[1], 'w' ) +detFile = open( sys.argv[2], 'w' ) physicals = ['machine', 'SizeZone'] @@ -21,5 +24,7 @@ tgtPolarity = 'all', tgtAccessor = 'all', - drillOn=physicals ) + drillOn=physicals, + sumFile = sumFile, + detFile = detFile ) printHistos( @@ -27,5 +32,7 @@ tgtPolarity = 'all', tgtAccessor = 'all', - drillOn=ops ) + drillOn=ops, + sumFile = sumFile, + detFile = detFile ) printHistos( @@ -33,3 +40,5 @@ tgtPolarity = 'all', tgtAccessor = 'all', - drillOn=fx ) + drillOn=fx, + sumFile = sumFile, + detFile = detFile ) Index: doc/theses/mike_brooks_MMath/plots/list-2ord.d =================================================================== --- doc/theses/mike_brooks_MMath/plots/list-2ord.d (revision 2581f1e470681f2114352c203ac50173672b3d5c) +++ doc/theses/mike_brooks_MMath/plots/list-2ord.d (revision 1abcec9b6adf2ed1d9f833ccc39e3e9f529c3d52) @@ -1,2 +1,2 @@ -plots/list-2ord.gp.INPUTS: build/plot-list-2ord.dat | build +plots/list-2ord.gp.INPUTS: build/plot-list-2ord.sum.dat build/plot-list-2ord.det.dat | build plots/list-2ord.py.INPUTS: benchmarks/list/results-swift-general.csv Index: doc/theses/mike_brooks_MMath/plots/list-2ord.gp =================================================================== --- doc/theses/mike_brooks_MMath/plots/list-2ord.gp (revision 2581f1e470681f2114352c203ac50173672b3d5c) +++ doc/theses/mike_brooks_MMath/plots/list-2ord.gp (revision 1abcec9b6adf2ed1d9f833ccc39e3e9f529c3d52) @@ -12,12 +12,11 @@ set lmargin 10 set bmargin 5 -set tmargin 2 +set tmargin 3.5 set grid -set nokey set logscale y (2**0.2) -set yrange [0.57:1.65]; -set format y "%.2f {/Symbol \264}" +set yrange [0.65:1.65]; +set format y "%.1f {/Symbol \264}" set ytics (0.6, 0.7, 0.8, 0.9, 1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6) set ylabel "Speedup, bot. opt. {/Symbol \256} top opt." offset -0.5,0 @@ -30,5 +29,5 @@ set xrange [-0.7:27.5]; -set xlabel "Criterion; top / bot. Options; Prevalence" offset 0,-1.5 +set xlabel "Criterion; top-bottom Options; Prevalence" offset 0,-1.5 set format x "" set xtics ( \ @@ -42,8 +41,8 @@ set label "small" at first 1.5, graph 1.05 center -set label "(AMD)" at first 1.5, graph 0.06 center font "Times-Bold,18" +set label "(AMD)" at first 1.5, graph 0.06 center font "Times-Bold,18" front set label "medium" at first 1.5, graph -0.05 center set label "small" at first 6.5, graph 1.05 center -set label "(Intel)" at first 6.5, graph 0.06 center font "Times-Bold,18" +set label "(Intel)" at first 6.5, graph 0.06 center font "Times-Bold,18" front set label "medium" at first 6.5, graph -0.05 center set label "Size Zone" at first 4 , graph -0.14 center @@ -60,5 +59,5 @@ set label "ins. elem." at first 19.5, graph -0.05 center set label "all head" at first 24.5, graph 1.05 center -set label "rem. elem" at first 24.5, graph -0.05 center +set label "rem. elem." at first 24.5, graph -0.05 center set label "Accessor" at first 22 , graph -0.14 center @@ -84,60 +83,123 @@ set arrow 21+.4 from 26+.4, graph -0.10 to 26+.4, graph -0.08 nohead lw 1 +# legend, augmented +set key outside top center horizontal maxrows 1 samplen 2 width +1 # offset -10,0 +set object 2 rect from first 3.20, screen 0.93 to first 4.85, screen 0.99 fc rgb "blue" fs transparent solid 0.20 border lc rgb "blue" lw 0.3 +set object 3 rect from first 8.80, screen 0.93 to first 10.45, screen 0.99 fc rgb "dark-orange" fs transparent solid 0.25 border lc rgb "dark-orange" lw 0.3 +set object 4 rect from first 14.40, screen 0.93 to first 16.05, screen 0.99 fc rgb "magenta" fs transparent solid 0.20 border lc rgb "magenta" lw 0.3 +set object 5 rect from first 19.98, screen 0.93 to first 21.63, screen 0.99 fc rgb "dark-violet" fs transparent solid 0.25 border lc rgb "dark-violet" lw 0.3 +# word "mean" is title of a data series plotted froom $Singleton +set arrow 99 from first 20.8, screen 0.96 to first 23, screen 0.96 nohead lw 1 dt 2 + set errorbars 2.0 set pointintervalbox 0 -barHtScale_phys = 0.05 -barHtScale_op = 0.1 -barHtScale_fx = 0.05 - - -plot INDIR."/plot-list-2ord.dat" \ - i ( 0 + 0) using (0):(0):( 0 + 0):( 0 + 0 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "blue" fs transparent solid 0.15 noborder, \ - '' i ( 0 + 3) using (0):(0):( 0 + 1):( 0 + 1 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "dark-orange" fs transparent solid 0.15 noborder, \ - '' i ( 0 + 2) using (0):(0):( 0 + 2):( 0 + 2 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "magenta" fs transparent solid 0.15 noborder, \ - '' i ( 0 + 1) using (0):(0):( 0 + 3):( 0 + 3 + 3.5 * barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "purple" fs transparent solid 0.35 noborder, \ - '' i ( 0 + 0) using ( 0 + 0 + barHtScale_fx * $3):2 notitle with steps lc rgb "blue" lw 0.3, \ - '' i ( 0 + 3) using ( 0 + 1 + barHtScale_fx * $3):2 notitle with steps lc rgb "dark-orange" lw 0.3, \ - '' i ( 0 + 2) using ( 0 + 2 + barHtScale_fx * $3):2 notitle with steps lc rgb "magenta" lw 0.3, \ - '' i ( 0 + 1) using ( 0 + 3 + 3.5 * barHtScale_fx * $3):2 notitle with steps lc rgb "purple" lw 0.3, \ -\ - '' i ( 4 + 0) using (0):(0):( 5 + 0):( 5 + 0 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "blue" fs transparent solid 0.15 noborder, \ - '' i ( 4 + 3) using (0):(0):( 5 + 1):( 5 + 1 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "dark-orange" fs transparent solid 0.15 noborder, \ - '' i ( 4 + 2) using (0):(0):( 5 + 2):( 5 + 2 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "magenta" fs transparent solid 0.15 noborder, \ - '' i ( 4 + 1) using (0):(0):( 5 + 3):( 5 + 3 + 3.5 * barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "purple" fs transparent solid 0.35 noborder, \ - '' i ( 4 + 0) using ( 5 + 0 + barHtScale_fx * $3):2 notitle with steps lc rgb "blue" lw 0.3, \ - '' i ( 4 + 3) using ( 5 + 1 + barHtScale_fx * $3):2 notitle with steps lc rgb "dark-orange" lw 0.3, \ - '' i ( 4 + 2) using ( 5 + 2 + barHtScale_fx * $3):2 notitle with steps lc rgb "magenta" lw 0.3, \ - '' i ( 4 + 1) using ( 5 + 3 + 3.5 * barHtScale_fx * $3):2 notitle with steps lc rgb "purple" lw 0.3, \ -\ - '' i ( 8 + 0) using (0):(0):(10 + 0):(10 + 0 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "blue" fs transparent solid 0.15 noborder, \ - '' i ( 8 + 2) using (0):(0):(10 + 1):(10 + 1 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "dark-orange" fs transparent solid 0.15 noborder, \ - '' i ( 8 + 1) using (0):(0):(10 + 2):(10 + 2 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "magenta" fs transparent solid 0.15 noborder, \ - '' i ( 8 + 0) using (10 + 0 + barHtScale_fx * $3):2 notitle with steps lc rgb "blue" lw 0.3, \ - '' i ( 8 + 2) using (10 + 1 + barHtScale_fx * $3):2 notitle with steps lc rgb "dark-orange" lw 0.3, \ - '' i ( 8 + 1) using (10 + 2 + barHtScale_fx * $3):2 notitle with steps lc rgb "magenta" lw 0.3, \ -\ - '' i (11 + 0) using (0):(0):(14 + 0):(14 + 0 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "blue" fs transparent solid 0.15 noborder, \ - '' i (11 + 2) using (0):(0):(14 + 1):(14 + 1 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "dark-orange" fs transparent solid 0.15 noborder, \ - '' i (11 + 1) using (0):(0):(14 + 2):(14 + 2 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "magenta" fs transparent solid 0.15 noborder, \ - '' i (11 + 0) using (14 + 0 + barHtScale_fx * $3):2 notitle with steps lc rgb "blue" lw 0.3, \ - '' i (11 + 2) using (14 + 1 + barHtScale_fx * $3):2 notitle with steps lc rgb "dark-orange" lw 0.3, \ - '' i (11 + 1) using (14 + 2 + barHtScale_fx * $3):2 notitle with steps lc rgb "magenta" lw 0.3, \ -\ - '' i (14 + 0) using (0):(0):(18 + 0):(18 + 0 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "blue" fs transparent solid 0.15 noborder, \ - '' i (14 + 3) using (0):(0):(18 + 1):(18 + 1 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "dark-orange" fs transparent solid 0.15 noborder, \ - '' i (14 + 2) using (0):(0):(18 + 2):(18 + 2 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "magenta" fs transparent solid 0.15 noborder, \ - '' i (14 + 1) using (0):(0):(18 + 3):(18 + 3 + 3.5 * barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "purple" fs transparent solid 0.35 noborder, \ - '' i (14 + 0) using (18 + 0 + barHtScale_fx * $3):2 notitle with steps lc rgb "blue" lw 0.3, \ - '' i (14 + 3) using (18 + 1 + barHtScale_fx * $3):2 notitle with steps lc rgb "dark-orange" lw 0.3, \ - '' i (14 + 2) using (18 + 2 + barHtScale_fx * $3):2 notitle with steps lc rgb "magenta" lw 0.3, \ - '' i (14 + 1) using (18 + 3 + 3.5 * barHtScale_fx * $3):2 notitle with steps lc rgb "purple" lw 0.3, \ -\ - '' i (18 + 0) using (0):(0):(23 + 0):(23 + 0 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "blue" fs transparent solid 0.15 noborder, \ - '' i (18 + 3) using (0):(0):(23 + 1):(23 + 1 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "dark-orange" fs transparent solid 0.15 noborder, \ - '' i (18 + 2) using (0):(0):(23 + 2):(23 + 2 + barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "magenta" fs transparent solid 0.15 noborder, \ - '' i (18 + 1) using (0):(0):(23 + 3):(23 + 3 + 3.5 * barHtScale_fx * $3):1:2 title columnheader(1) with boxxyerror fc rgb "purple" fs transparent solid 0.35 noborder, \ - '' i (18 + 0) using (23 + 0 + barHtScale_fx * $3):2 notitle with steps lc rgb "blue" lw 0.3, \ - '' i (18 + 3) using (23 + 1 + barHtScale_fx * $3):2 notitle with steps lc rgb "dark-orange" lw 0.3, \ - '' i (18 + 2) using (23 + 2 + barHtScale_fx * $3):2 notitle with steps lc rgb "magenta" lw 0.3, \ - '' i (18 + 1) using (23 + 3 + 3.5 * barHtScale_fx * $3):2 notitle with steps lc rgb "purple" lw 0.3 +# One row, to plot one-off points +$Singleton <