From ad9c30ab321adc3dc4273c410c9aa312df0c5459 Mon Sep 17 00:00:00 2001
From: Valentin Boettcher <hiro@protagon.space>
Date: Wed, 3 Aug 2022 15:30:22 +0200
Subject: [PATCH] update sqrt convergence figure in 11

---
 .../figures/sqrt_convergence.tex              | 103 ++++++++++++------
 1 file changed, 70 insertions(+), 33 deletions(-)

diff --git a/python/energy_flow_proper/11_new_ho_comparison/figures/sqrt_convergence.tex b/python/energy_flow_proper/11_new_ho_comparison/figures/sqrt_convergence.tex
index 83f7431..1ce0097 100644
--- a/python/energy_flow_proper/11_new_ho_comparison/figures/sqrt_convergence.tex
+++ b/python/energy_flow_proper/11_new_ho_comparison/figures/sqrt_convergence.tex
@@ -12,52 +12,94 @@ legend cell align={left},
 legend style={fill opacity=0.8, draw opacity=1, text opacity=1, draw=lightgray204},
 log basis x={10},
 log basis y={10},
+minor xtick={20,30,40,50,60,70,80,90,200,300,400,500,600,700,800,900,2000,3000,4000,5000,6000,7000,8000,9000,20000,30000,40000,50000,60000,70000,80000,90000,200000,300000,400000,500000,600000,700000,800000,900000},
+minor xticklabels={
+  \(\displaystyle {2\times10^{1}}\),
+  \(\displaystyle {3\times10^{1}}\),
+  \(\displaystyle {4\times10^{1}}\),
+  ,
+  \(\displaystyle {6\times10^{1}}\),
+  ,
+  ,
+  ,
+  \(\displaystyle {2\times10^{2}}\),
+  \(\displaystyle {3\times10^{2}}\),
+  \(\displaystyle {4\times10^{2}}\),
+  ,
+  \(\displaystyle {6\times10^{2}}\),
+  ,
+  ,
+  ,
+  \(\displaystyle {2\times10^{3}}\),
+  \(\displaystyle {3\times10^{3}}\),
+  \(\displaystyle {4\times10^{3}}\),
+  ,
+  \(\displaystyle {6\times10^{3}}\),
+  ,
+  ,
+  ,
+  \(\displaystyle {2\times10^{4}}\),
+  \(\displaystyle {3\times10^{4}}\),
+  \(\displaystyle {4\times10^{4}}\),
+  ,
+  \(\displaystyle {6\times10^{4}}\),
+  ,
+  ,
+  ,
+  \(\displaystyle {2\times10^{5}}\),
+  \(\displaystyle {3\times10^{5}}\),
+  \(\displaystyle {4\times10^{5}}\),
+  ,
+  \(\displaystyle {6\times10^{5}}\),
+  ,
+  ,
+  
+},
 minor ytick={2e-05,3e-05,4e-05,5e-05,6e-05,7e-05,8e-05,9e-05,0.0002,0.0003,0.0004,0.0005,0.0006,0.0007,0.0008,0.0009,0.002,0.003,0.004,0.005,0.006,0.007,0.008,0.009,0.02,0.03,0.04,0.05,0.06,0.07,0.08,0.09},
 minor yticklabels={
   \(\displaystyle {2\times10^{-5}}\),
   \(\displaystyle {3\times10^{-5}}\),
   \(\displaystyle {4\times10^{-5}}\),
-  ,
+  \(\displaystyle {5\times10^{-5}}\),
   \(\displaystyle {6\times10^{-5}}\),
-  ,
-  ,
-  ,
+  \(\displaystyle {7\times10^{-5}}\),
+  \(\displaystyle {8\times10^{-5}}\),
+  \(\displaystyle {9\times10^{-5}}\),
   \(\displaystyle {2\times10^{-4}}\),
   \(\displaystyle {3\times10^{-4}}\),
   \(\displaystyle {4\times10^{-4}}\),
-  ,
+  \(\displaystyle {5\times10^{-4}}\),
   \(\displaystyle {6\times10^{-4}}\),
-  ,
-  ,
-  ,
+  \(\displaystyle {7\times10^{-4}}\),
+  \(\displaystyle {8\times10^{-4}}\),
+  \(\displaystyle {9\times10^{-4}}\),
   \(\displaystyle {2\times10^{-3}}\),
   \(\displaystyle {3\times10^{-3}}\),
   \(\displaystyle {4\times10^{-3}}\),
-  ,
+  \(\displaystyle {5\times10^{-3}}\),
   \(\displaystyle {6\times10^{-3}}\),
-  ,
-  ,
-  ,
+  \(\displaystyle {7\times10^{-3}}\),
+  \(\displaystyle {8\times10^{-3}}\),
+  \(\displaystyle {9\times10^{-3}}\),
   \(\displaystyle {2\times10^{-2}}\),
   \(\displaystyle {3\times10^{-2}}\),
   \(\displaystyle {4\times10^{-2}}\),
-  ,
+  \(\displaystyle {5\times10^{-2}}\),
   \(\displaystyle {6\times10^{-2}}\),
-  ,
-  ,
-  
+  \(\displaystyle {7\times10^{-2}}\),
+  \(\displaystyle {8\times10^{-2}}\),
+  \(\displaystyle {9\times10^{-2}}\)
 },
 tick align=outside,
 tick pos=left,
 width=\figW,
 x grid style={darkgray176},
 xlabel={\(\displaystyle N\)},
-xmin=89.1250938133745, xmax=1122.01845430196,
+xmin=922.680834590588, xmax=5418.99193367184,
 xmode=log,
 xtick style={color=black},
-xtick={1,10,100,1000,10000,100000},
+xtick={10,100,1000,10000,100000},
 xticklabels={
-  \(\displaystyle {10^{0}}\),
   \(\displaystyle {10^{1}}\),
   \(\displaystyle {10^{2}}\),
   \(\displaystyle {10^{3}}\),
@@ -65,8 +107,8 @@ xticklabels={
   \(\displaystyle {10^{5}}\)
 },
 y grid style={darkgray176},
-ylabel={\(\displaystyle σ\)},
-ymin=0.000206282128665995, ymax=0.000731916612102981,
+ylabel={mean \(\displaystyle σ\)},
+ymin=0.000303143603109317, ymax=0.00073465241509804,
 ymode=log,
 ytick style={color=black},
 ytick={1e-05,0.0001,0.001,0.01},
@@ -79,22 +121,17 @@ yticklabels={
 ]
 \addplot [semithick, steelblue31119180, dotted, mark=*, mark size=2.8, mark options={solid}]
 table {%
-100 0.000690973771270365
-199.999969482422 0.000484140415210277
-300.000061035156 0.000393910653656349
-400.000091552734 0.000350466492818668
-500.000091552734 0.000308895396301523
-600.000061035156 0.000279167084954679
-699.999938964844 0.000259500433458015
-800 0.000243598784436472
-899.999938964844 0.000229642377234995
-1000 0.000219574576476589
+1000 0.000705679936800152
+1999.99963378906 0.000496594060678035
+3000.00073242188 0.000406141072744504
+4000.00073242188 0.000353465846274048
+5000.0009765625 0.000317110039759427
 };
 \addlegendentry{Numerics}
 \addplot [semithick, darkorange25512714]
 table {%
-100 0.000690973771270365
-1000 0.000218505098018795
+1000 0.000705679936800152
+5000.0009765625 0.000315589568344876
 };
 \addlegendentry{$1/\sqrt{N}$}
 \end{axis}