From fe86c7399d9bc20f7f95f7557d6d2b80e7b86be3 Mon Sep 17 00:00:00 2001 From: Adrian Kummerlaender Date: Tue, 29 Jan 2019 15:23:53 +0100 Subject: Revamp gnuplot plotting to generate better output Using the pdfcairo terminal for generating fluid flow plots in gnuplot using raw paraview-generated CSV exports generates high quality results. Sadly the resulting files are both unoptimized and quite big which leads to both large and unperformant documents (i.e. some PDF readers even crash) As an alternative this new gnuplot structure generates the fluid plot itself using the pngcairo terminal and includes the resulting high-resolution PNG image into a normal pdfcairo plot. This works out quite well. As a side benefit the plot scripts are now much easier to maintain. --- img/cavity2d.tikz | 16 - img/common/knudsen_fluid.gnuplot | 19 + img/common/knudsen_wrapper.gnuplot | 16 + img/common/moreland.pal | 36 + img/common/velocity_fluid.gnuplot | 19 + img/common/velocity_wrapper.gnuplot | 16 + img/cylinder2d_improved_grid_60s_knudsen.gnuplot | 16 + ...linder2d_improved_grid_60s_knudsen_full.gnuplot | 27 - img/cylinder2d_single_refinement_60s.gnuplot | 11 + img/cylinder2d_single_refinement_60s_full.gnuplot | 23 - ...ylinder2d_single_refinement_60s_knudsen.gnuplot | 12 + ...er2d_single_refinement_60s_knudsen_full.gnuplot | 23 - img/cylinder2d_unrefined_60s.gnuplot | 7 + img/cylinder2d_unrefined_60s_full.gnuplot | 19 - img/cylinder2d_unrefined_60s_knudsen.gnuplot | 8 + img/cylinder2d_unrefined_60s_knudsen_full.gnuplot | 19 - img/data/cylinder2d_unrefined_60s.csv | 36533 +++++++++++++++++++ img/data/cylinder2d_unrefined_60s_full.csv | 36533 ------------------- img/moreland.pal | 36 - img/static/cavity2d.png | Bin 28162 -> 0 bytes .../cylinder2d_improved_grid_60s_knudsen.pdf | Bin 0 -> 62014 bytes img/static/cylinder2d_single_refinement_60s.pdf | Bin 0 -> 464850 bytes .../cylinder2d_single_refinement_60s_knudsen.pdf | Bin 0 -> 62639 bytes img/static/cylinder2d_unrefined_60s.pdf | Bin 0 -> 250176 bytes img/static/cylinder2d_unrefined_60s_knudsen.pdf | Bin 0 -> 55197 bytes img/static/massloss_paraview_plot.png | Bin 19686 -> 0 bytes img/static/refined_poiseuille_1.png | Bin 32989 -> 0 bytes img/tmp/cylinder2d_improved_grid_60s_knudsen.png | Bin 0 -> 46240 bytes img/tmp/cylinder2d_single_refinement_60s.png | Bin 0 -> 283655 bytes .../cylinder2d_single_refinement_60s_knudsen.png | Bin 0 -> 45410 bytes img/tmp/cylinder2d_unrefined_60s.png | Bin 0 -> 146359 bytes img/tmp/cylinder2d_unrefined_60s_knudsen.png | Bin 0 -> 28707 bytes 32 files changed, 36693 insertions(+), 36696 deletions(-) delete mode 100644 img/cavity2d.tikz create mode 100644 img/common/knudsen_fluid.gnuplot create mode 100644 img/common/knudsen_wrapper.gnuplot create mode 100644 img/common/moreland.pal create mode 100644 img/common/velocity_fluid.gnuplot create mode 100644 img/common/velocity_wrapper.gnuplot create mode 100644 img/cylinder2d_improved_grid_60s_knudsen.gnuplot delete mode 100644 img/cylinder2d_improved_grid_60s_knudsen_full.gnuplot create mode 100644 img/cylinder2d_single_refinement_60s.gnuplot delete mode 100644 img/cylinder2d_single_refinement_60s_full.gnuplot create mode 100644 img/cylinder2d_single_refinement_60s_knudsen.gnuplot delete mode 100644 img/cylinder2d_single_refinement_60s_knudsen_full.gnuplot create mode 100644 img/cylinder2d_unrefined_60s.gnuplot delete mode 100644 img/cylinder2d_unrefined_60s_full.gnuplot create mode 100644 img/cylinder2d_unrefined_60s_knudsen.gnuplot delete mode 100644 img/cylinder2d_unrefined_60s_knudsen_full.gnuplot create mode 100644 img/data/cylinder2d_unrefined_60s.csv delete mode 100644 img/data/cylinder2d_unrefined_60s_full.csv delete mode 100644 img/moreland.pal delete mode 100644 img/static/cavity2d.png create mode 100644 img/static/cylinder2d_improved_grid_60s_knudsen.pdf create mode 100644 img/static/cylinder2d_single_refinement_60s.pdf create mode 100644 img/static/cylinder2d_single_refinement_60s_knudsen.pdf create mode 100644 img/static/cylinder2d_unrefined_60s.pdf create mode 100644 img/static/cylinder2d_unrefined_60s_knudsen.pdf delete mode 100644 img/static/massloss_paraview_plot.png delete mode 100644 img/static/refined_poiseuille_1.png create mode 100644 img/tmp/cylinder2d_improved_grid_60s_knudsen.png create mode 100644 img/tmp/cylinder2d_single_refinement_60s.png create mode 100644 img/tmp/cylinder2d_single_refinement_60s_knudsen.png create mode 100644 img/tmp/cylinder2d_unrefined_60s.png create mode 100644 img/tmp/cylinder2d_unrefined_60s_knudsen.png (limited to 'img') diff --git a/img/cavity2d.tikz b/img/cavity2d.tikz deleted file mode 100644 index cb99dba..0000000 --- a/img/cavity2d.tikz +++ /dev/null @@ -1,16 +0,0 @@ -\begin{tikzpicture} -\node[anchor=south west,inner sep=0] at (0,0) {\includegraphics[width=5cm]{img/cavity2d.png}}; -\foreach \x in {0,...,4} - \foreach \y in {0,...,4} - \draw[white] (\x,\y) rectangle (\x+1,\y+1); - -\draw[black,thick] (0,0) rectangle (5,5); - -\draw[->] (0,5.2) -- node[above,midway] {\footnotesize\(u=(1,0)\)} (5,5.2); -\draw (0,0) -- node[below] {\footnotesize\(u=(0,0)\)} (5,0); -\draw (0,0) -- node[rotate=90,yshift=10pt] {\footnotesize\(u=(0,0)\)} (0,5); -\draw (5,0) -- node[rotate=90,yshift=-10pt] {\footnotesize\(u=(0,0)\)} (5,5); - -\draw[<->] (-0.7,0) -- node[rotate=90,yshift=10pt] {\scriptsize \(L=1\), diskretisiert in \(N\) Knoten} (-0.7,5); -\draw[<->] (0,-0.7) -- node[below] {\scriptsize \(L=1\), diskretisiert in \(N\) Knoten} (5,-0.7); -\end{tikzpicture} diff --git a/img/common/knudsen_fluid.gnuplot b/img/common/knudsen_fluid.gnuplot new file mode 100644 index 0000000..7ceb6b8 --- /dev/null +++ b/img/common/knudsen_fluid.gnuplot @@ -0,0 +1,19 @@ +set terminal pngcairo size 3520, 656 + +set output 'tmp/'.plotname.'.png' + +set palette defined (0 "dark-green", 0.5 "dark-green", 0.5 "yellow", 1.5 "yellow", 1.5 "red", 2 "red") + +set datafile separator ',' + +set size 1,1 +set margin 0,0,0,0 + +set yrange [0:4.1] +set xrange [0:22] +set cbrange [0:2] + +unset colorbox +unset key +unset tics +unset border diff --git a/img/common/knudsen_wrapper.gnuplot b/img/common/knudsen_wrapper.gnuplot new file mode 100644 index 0000000..5562b56 --- /dev/null +++ b/img/common/knudsen_wrapper.gnuplot @@ -0,0 +1,16 @@ +reset + +set term pdfcairo enh size 21cm, 5cm +set output 'static/'.plotname.'.pdf' + +set palette defined (0 "dark-green", 0.5 "dark-green", 0.5 "yellow", 1.5 "yellow", 1.5 "red", 2 "red") + +set size ratio -1 +set xtics 0,2,22 +set ytics 0,1,4 +set cbtics ("{/Symbol \243}0" 0, "1" 1, "{/Symbol \263}2" 2) +set cbrange [0:2] + +set cblabel "Verfeinerungskriterium" offset 1,0 + +plot 'tmp/'.plotname.'.png' binary filetype=png origin=(0.00625,0.00625) dx=0.00625 dy=0.00625 with rgbimage palette diff --git a/img/common/moreland.pal b/img/common/moreland.pal new file mode 100644 index 0000000..24b8cb9 --- /dev/null +++ b/img/common/moreland.pal @@ -0,0 +1,36 @@ +# See: https://github.com/Gnuplotting/gnuplot-palettes +set palette defined(\ +0 0.2314 0.2980 0.7529,\ +0.03125 0.2667 0.3529 0.8000,\ +0.0625 0.3020 0.4078 0.8431,\ +0.09375 0.3412 0.4588 0.8824,\ +0.125 0.3843 0.5098 0.9176,\ +0.15625 0.4235 0.5569 0.9451,\ +0.1875 0.4667 0.6039 0.9686,\ +0.21875 0.5098 0.6471 0.9843,\ +0.25 0.5529 0.6902 0.9961,\ +0.28125 0.5961 0.7255 1.0000,\ +0.3125 0.6392 0.7608 1.0000,\ +0.34375 0.6824 0.7882 0.9922,\ +0.375 0.7216 0.8157 0.9765,\ +0.40625 0.7608 0.8353 0.9569,\ +0.4375 0.8000 0.8510 0.9333,\ +0.46875 0.8353 0.8588 0.9020,\ +0.5 0.8667 0.8667 0.8667,\ +0.53125 0.8980 0.8471 0.8196,\ +0.5625 0.9255 0.8275 0.7725,\ +0.59375 0.9451 0.8000 0.7255,\ +0.625 0.9608 0.7686 0.6784,\ +0.65625 0.9686 0.7333 0.6275,\ +0.6875 0.9686 0.6941 0.5804,\ +0.71875 0.9686 0.6510 0.5294,\ +0.75 0.9569 0.6039 0.4824,\ +0.78125 0.9451 0.5529 0.4353,\ +0.8125 0.9255 0.4980 0.3882,\ +0.84375 0.8980 0.4392 0.3451,\ +0.875 0.8706 0.3765 0.3020,\ +0.90625 0.8353 0.3137 0.2588,\ +0.9375 0.7961 0.2431 0.2196,\ +0.96875 0.7529 0.1569 0.1843,\ +1 0.7059 0.0157 0.1490\ +) diff --git a/img/common/velocity_fluid.gnuplot b/img/common/velocity_fluid.gnuplot new file mode 100644 index 0000000..bd8e194 --- /dev/null +++ b/img/common/velocity_fluid.gnuplot @@ -0,0 +1,19 @@ +set terminal pngcairo size 3520, 656 + +set output 'tmp/'.plotname.'.png' + +load 'common/moreland.pal' + +set datafile separator ',' + +set size 1,1 +set margin 0,0,0,0 + +set yrange [0:4.1] +set xrange [0:22] +set cbrange [0:1.5] + +unset colorbox +unset key +unset tics +unset border diff --git a/img/common/velocity_wrapper.gnuplot b/img/common/velocity_wrapper.gnuplot new file mode 100644 index 0000000..534040e --- /dev/null +++ b/img/common/velocity_wrapper.gnuplot @@ -0,0 +1,16 @@ +reset + +set term pdfcairo enh size 21cm, 5cm +set output 'static/'.plotname.'.pdf' + +load 'common/moreland.pal' + +set size ratio -1 +set xtics 0,2,22 +set ytics 0,1,4 +set cbtics 0,0.5,1.5 +set cbrange [0:1.5] + +set cblabel "Geschwindigkeitsnorm" + +plot 'tmp/'.plotname.'.png' binary filetype=png origin=(0.00625,0.00625) dx=0.00625 dy=0.00625 with rgbimage palette diff --git a/img/cylinder2d_improved_grid_60s_knudsen.gnuplot b/img/cylinder2d_improved_grid_60s_knudsen.gnuplot new file mode 100644 index 0000000..6885ca7 --- /dev/null +++ b/img/cylinder2d_improved_grid_60s_knudsen.gnuplot @@ -0,0 +1,16 @@ +plotname = "cylinder2d_improved_grid_60s_knudsen" +knudsen = 0.000866025 + +load 'common/knudsen_fluid.gnuplot' + +set obj 1 rect from 0.75,0.05 to 8.75,4.05 +set obj 1 fillstyle empty border -1 front lw 4 + +set obj 2 rect from 1,1.05 to 5,3.05 +set obj 2 fillstyle empty border -1 front lw 4 + +plot 'data/cylinder2d_improved_grid_twice_refined_60s_2.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 1.3 notitle,\ + 'data/cylinder2d_improved_grid_twice_refined_60s_1.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 0.7 notitle,\ + 'data/cylinder2d_improved_grid_twice_refined_60s_0.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 0.3 notitle\ + +load 'common/knudsen_wrapper.gnuplot' diff --git a/img/cylinder2d_improved_grid_60s_knudsen_full.gnuplot b/img/cylinder2d_improved_grid_60s_knudsen_full.gnuplot deleted file mode 100644 index c3c1a23..0000000 --- a/img/cylinder2d_improved_grid_60s_knudsen_full.gnuplot +++ /dev/null @@ -1,27 +0,0 @@ -set term pdfcairo enh size 21cm, 5cm - -set palette defined (0 "dark-green", 0.5 "dark-green", 0.5 "yellow", 1.5 "yellow", 1.5 "red", 2 "red") - -set datafile separator ',' - -set size ratio -1 - -set yrange [0:4.1] -set xrange [0:22] -set cbrange [0:2] - -set xtics 0,2,22 -set ytics 0,1,4 -set cbtics ("{/Symbol \243}0" 0, "1" 1, "{/Symbol \263}2" 2) - -set cblabel "Verfeinerungskriterium" offset 1,0 - -set obj 1 rect from 0.75,0.05 to 8.75,4.05 -set obj 1 fillstyle empty border -1 front - -set obj 2 rect from 1,1.05 to 5,3.05 -set obj 2 fillstyle empty border -1 front - -plot 'data/cylinder2d_improved_grid_twice_refined_60s_2.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.13 notitle,\ - 'data/cylinder2d_improved_grid_twice_refined_60s_1.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.065 notitle,\ - 'data/cylinder2d_improved_grid_twice_refined_60s_0.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.0325 notitle diff --git a/img/cylinder2d_single_refinement_60s.gnuplot b/img/cylinder2d_single_refinement_60s.gnuplot new file mode 100644 index 0000000..34f9b85 --- /dev/null +++ b/img/cylinder2d_single_refinement_60s.gnuplot @@ -0,0 +1,11 @@ +plotname = "cylinder2d_single_refinement_60s" + +load 'common/velocity_fluid.gnuplot' + +set obj 1 rect from 0.75,0.55 to 8.75,3.55 +set obj 1 fillstyle empty border -1 front lw 4 + +plot 'data/cylinder2d_single_level_refinement_60s_0.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 1.3 notitle,\ + 'data/cylinder2d_single_level_refinement_60s_1.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 0.7 notitle + +load 'common/velocity_wrapper.gnuplot' diff --git a/img/cylinder2d_single_refinement_60s_full.gnuplot b/img/cylinder2d_single_refinement_60s_full.gnuplot deleted file mode 100644 index 546d353..0000000 --- a/img/cylinder2d_single_refinement_60s_full.gnuplot +++ /dev/null @@ -1,23 +0,0 @@ -set term pdfcairo enh size 21cm, 5cm - -load 'moreland.pal' - -set datafile separator ',' - -set size ratio -1 - -set yrange [0:4.1] -set xrange [0:22] -set cbrange [0:1.5] - -set xtics 0,2,22 -set ytics 0,1,4 -set cbtics 0,0.5,1.5 - -set cblabel "Geschwindigkeitsnorm" - -set obj 1 rect from 0.75,0.55 to 8.75,3.55 -set obj 1 fillstyle empty border -1 front - -plot 'data/poiseuille2d_single_level_refinement_60s_0.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 0.13 notitle,\ - 'data/poiseuille2d_single_level_refinement_60s_1.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 0.065 notitle diff --git a/img/cylinder2d_single_refinement_60s_knudsen.gnuplot b/img/cylinder2d_single_refinement_60s_knudsen.gnuplot new file mode 100644 index 0000000..809abc1 --- /dev/null +++ b/img/cylinder2d_single_refinement_60s_knudsen.gnuplot @@ -0,0 +1,12 @@ +plotname = "cylinder2d_single_refinement_60s_knudsen" +knudsen = 0.000866025 + +load 'common/knudsen_fluid.gnuplot' + +set obj 1 rect from 0.75,0.55 to 8.75,3.55 +set obj 1 fillstyle empty border -1 front lw 4 + +plot 'data/cylinder2d_single_level_refinement_60s_0.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 1.3 notitle,\ + 'data/cylinder2d_single_level_refinement_60s_1.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 0.7 notitle + +load 'common/knudsen_wrapper.gnuplot' diff --git a/img/cylinder2d_single_refinement_60s_knudsen_full.gnuplot b/img/cylinder2d_single_refinement_60s_knudsen_full.gnuplot deleted file mode 100644 index c9eb537..0000000 --- a/img/cylinder2d_single_refinement_60s_knudsen_full.gnuplot +++ /dev/null @@ -1,23 +0,0 @@ -set term pdfcairo enh size 21cm, 5cm - -set palette defined (0 "dark-green", 0.5 "dark-green", 0.5 "yellow", 1.5 "yellow", 1.5 "red", 2 "red") - -set datafile separator ',' - -set size ratio -1 - -set yrange [0:4.1] -set xrange [0:22] -set cbrange [0:2] - -set xtics 0,2,22 -set ytics 0,1,4 -set cbtics ("{/Symbol \243}0" 0, "1" 1, "{/Symbol \263}2" 2) - -set cblabel "Verfeinerungskriterium" offset 1,0 - -set obj 1 rect from 0.75,0.55 to 8.75,3.55 -set obj 1 fillstyle empty border -1 front - -plot 'data/cylinder2d_single_level_refinement_60s_0.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.13 notitle,\ - 'data/cylinder2d_single_level_refinement_60s_1.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.065 notitle diff --git a/img/cylinder2d_unrefined_60s.gnuplot b/img/cylinder2d_unrefined_60s.gnuplot new file mode 100644 index 0000000..3c6194a --- /dev/null +++ b/img/cylinder2d_unrefined_60s.gnuplot @@ -0,0 +1,7 @@ +plotname = "cylinder2d_unrefined_60s" + +load 'common/velocity_fluid.gnuplot' + +plot 'data/cylinder2d_unrefined_60s.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 1.3 notitle + +load 'common/velocity_wrapper.gnuplot' diff --git a/img/cylinder2d_unrefined_60s_full.gnuplot b/img/cylinder2d_unrefined_60s_full.gnuplot deleted file mode 100644 index 57bfca3..0000000 --- a/img/cylinder2d_unrefined_60s_full.gnuplot +++ /dev/null @@ -1,19 +0,0 @@ -set term pdfcairo enh size 21cm, 5cm - -load 'moreland.pal' - -set datafile separator ',' - -set size ratio -1 - -set yrange [0:4.1] -set xrange [0:22] -set cbrange [0:1.5] - -set xtics 0,2,22 -set ytics 0,1,4 -set cbtics 0,0.5,1.5 - -set cblabel "Geschwindigkeitsnorm" - -plot 'data/poiseuille2d_unrefined_60s_full.csv' using 6:7:(sqrt($2*$2+$3*$3)) palette pt 5 ps 0.13 notitle diff --git a/img/cylinder2d_unrefined_60s_knudsen.gnuplot b/img/cylinder2d_unrefined_60s_knudsen.gnuplot new file mode 100644 index 0000000..6143107 --- /dev/null +++ b/img/cylinder2d_unrefined_60s_knudsen.gnuplot @@ -0,0 +1,8 @@ +plotname = "cylinder2d_unrefined_60s_knudsen" +knudsen = 0.000866025 + +load 'common/knudsen_fluid.gnuplot' + +plot 'data/cylinder2d_unrefined_60s.csv' using 6:7:(log($5/knudsen)/log(2)) palette pt 5 ps 1.3 notitle + +load 'common/knudsen_wrapper.gnuplot' diff --git a/img/cylinder2d_unrefined_60s_knudsen_full.gnuplot b/img/cylinder2d_unrefined_60s_knudsen_full.gnuplot deleted file mode 100644 index a953bd7..0000000 --- a/img/cylinder2d_unrefined_60s_knudsen_full.gnuplot +++ /dev/null @@ -1,19 +0,0 @@ -set term pdfcairo enh size 21cm, 5cm - -set palette defined (0 "dark-green", 0.5 "dark-green", 0.5 "yellow", 1.5 "yellow", 1.5 "red", 2 "red") - -set datafile separator ',' - -set size ratio -1 - -set yrange [0:4.1] -set xrange [0:22] -set cbrange [0:2] - -set xtics 0,2,22 -set ytics 0,1,4 -set cbtics ("{/Symbol \243}0" 0, "1" 1, "{/Symbol \263}2" 2) - -set cblabel "Verfeinerungskriterium" offset 1,0 - -plot 'data/cylinder2d_unrefined_60s_full.csv' using 6:7:(log($5/0.000866025)/log(2)) palette pt 5 ps 0.13 notitle diff --git a/img/data/cylinder2d_unrefined_60s.csv b/img/data/cylinder2d_unrefined_60s.csv new file mode 100644 index 0000000..4b27f13 --- /dev/null +++ b/img/data/cylinder2d_unrefined_60s.csv @@ -0,0 +1,36533 @@ +geometry,ux,uy,p,knudsen,x,y +2.00000000e+00,0.00000000e+00,0.00000000e+00,1.05037951e+00,1.72357727e-03,0.00000000e+00,0.00000000e+00 +2.00000000e+00,0.00000000e+00,0.00000000e+00,1.05064631e+00,1.68576266e-03,5.00000007e-02,0.00000000e+00 +3.00000000e+00,4.81856056e-02,0.00000000e+00,1.04956877e+00,5.60567761e-03,0.00000000e+00,5.00000007e-02 +1.00000000e+00,4.88017984e-02,-6.15718658e-04,1.05011570e+00,1.75564853e-03,5.00000007e-02,5.00000007e-02 +2.00000000e+00,0.00000000e+00,0.00000000e+00,1.04924583e+00,1.65566162e-03,1.00000001e-01,0.00000000e+00 +1.00000000e+00,4.96243052e-02,-3.34420387e-04,1.04978657e+00,1.72344875e-03,1.00000001e-01,5.00000007e-02 +2.00000000e+00,0.00000000e+00,0.00000000e+00,1.04952323e+00,1.72794727e-03,1.50000006e-01,0.00000000e+00 +1.00000000e+00,5.01591004e-02,-5.00673603e-04,1.04905200e+00,1.78221415e-03,1.50000006e-01,5.00000007e-02 +2.00000000e+00,0.00000000e+00,0.00000000e+00,1.04875398e+00,1.72245724e-03,2.00000003e-01,0.00000000e+00 +1.00000000e+00,5.09061776e-02,-4.39958036e-04,1.04863179e+00,1.78959523e-03,2.00000003e-01,5.00000007e-02 +2.00000000e+00,0.00000000e+00,0.00000000e+00,1.04836583e+00,1.75309402e-03,2.50000000e-01,0.00000000e+00 +1.00000000e+00,5.17983101e-02,-6.05908746e-04,1.04816306e+00,1.83524820e-03,2.50000000e-01,5.00000007e-02 +2.00000000e+00,0.00000000e+00,0.00000000e+00,1.04788959e+00,1.79544021e-03,3.00000012e-01,0.00000000e+00 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