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--- latex:exampe_eta [2017/09/11 15:45] – iwn
+++ latex:exampe_eta [2022/12/02 15:44] (current) – iwn
@@ Line 6: / Line 6: @@
  // //
 </WRAP><WRAP column 42%>
-{{ latex: theta_eta.png ? 0x1000 }}
+{{ latex:tikz:axis2d_pseudorapidity.png ? 0x1000 }}
 </WRAP><WRAP column 2%>
  // //
 </WRAP></WRAP>
+Pseudorapidity. For more, please visit https://tikz.net/category/physics/particle-physics/.
+<file latex theta-eta.tex>
-<file latex eta-theta.tex>
+% Author: Izaak Neutelings (June 2017)
-% Author: Izaak Neutelings (July 2017)
+% Updated: December 2022
+\documentclass[border=3pt,tikz]{standalone}
-\documentclass{article}
-\usepackage{amsmath} % for \text
-\usepackage{tikz}
 \tikzset{>=latex} % for LaTeX arrow head
-\definecolor{mylightred}{RGB}{255,200,200}
-\definecolor{mylightblue}{RGB}{172,188,63}
-\definecolor{mylightgreen}{RGB}{150,220,150}
-% split figures into pages
-\usepackage[active,tightpage]{preview}
-\PreviewEnvironment{tikzpicture}
-\setlength\PreviewBorder{1pt}%
 \begin{document}
+% SIMPLE FOR-LOOP
 \begin{tikzpicture}[scale=3]
-  % limits
+  % setting
-  \def\N{4}
   \def\R{1.2}
   % axis labels
-  \node[scale=0.8,below left=1pt] at (0,\R) {$y$};
+  \node[below=5pt,left=2pt] at (0,\R) {$y$};
-  \node[scale=0.8,below left=1pt] at (\R,0) {$z$};
+  \node[left=5pt,below=2pt] at (\R,0) {$z$};
   % lines
@@ Line 53: / Line 42: @@
+% PSEUDORAPIDITY with manual for-loop over theta, eta
 \begin{tikzpicture}[scale=3]
-  % limits
+  % setting
-  \def\N{4}
+  \def\R{1.2} % radius/length of lines
-  \def\R{1.2}
   % axis labels
-  \node[scale=0.8,below left=1pt] at (0,\R) {$y$};
+  \node[scale=1,below left=1] at (0,\R) {$y$}; % y axis
-  \node[scale=0.8,below left=1pt] at (\R,0) {$z$};
+  \node[scale=1,below left=1] at (\R,0) {$z$}; % z axis
   % lines
-  \foreach \t/\e in {90/0,60/0.55,45/0.88,30/1.32,10/2.44,0/\infty}{
+  \foreach \t/\e in {90/0,60/0.55,45/0.88,30/1.32,10/2.43,0/+\infty}{ % loop over theta/eta
-    \draw[->,black!60!red,thick] %samples=\N,variable=\x,domain=0:1]
+    \pgfkeys{/pgf/number format/precision=2}
-      (0,0) -- ({\R*cos(\t)},{\R*sin(\t)})
+    \draw[->,black!60!red,thick,line cap=round] % eta lines
-      %plot({\x*\R*cos(\t)},{\x*\R*sin(\t)}) % alternative way with plotting a linear function
+      (0,0) -- (\t:\R) node[anchor=180+\t,black] {$\eta=\e$}
-      node[anchor=180+\t,black] {$\eta=\e$};
+      node[black,pos=0.7,fill=white,scale=0.8,inner sep=1.5pt] {$\theta=\t^\circ$};
-    \node[fill=white,scale=0.8] at ({0.8*cos(\t)},{0.8*sin(\t)}) {$\theta=\t^\circ$};
   }
+  %\draw[black!60!red,thick] (0,0.1*\R) |- (0.1*\R,0) ; % overlap in corner
 \end{tikzpicture}
+% PSEUDORAPIDITY with automatic calculation of eta
+\begin{tikzpicture}[scale=3]
+  % setting
+  \def\R{1.2} % radius/length of lines
+  % axis labels
+  \node[scale=1,below left=1] at (0,\R) {$y$}; % y axis
+  \node[scale=1,below left=1] at (\R,0) {$z$}; % z axis
+  % lines
+  \pgfkeys{/pgf/number format/precision=2} % two decimals
+  \foreach \t in {90,60,45,30,10,0}{ % loop over theta
+    \ifnum \t = 0
+      \def\e{+\infty} % infinity symbol
+    \else
+      \pgfmathparse{-ln(tan(\t/2))} % pseudorapidity
+      %\pgfmathroundto{\pgfmathresult} % round without traling zeroes
+      \pgfmathroundtozerofill{\pgfmathresult} % round with trailing zeroes
+      \pgfmathsetmacro\e{\t==90?0:\pgfmathresult} % no trailing zeroes for theta = 0
+    \fi
+    \draw[->,black!60!red,thick,line cap=round] % eta lines
+      (0,0) -- (\t:\R) node[anchor=180+\t,black] {$\eta=\e$}
+      node[black,pos=0.7,fill=white,scale=0.8,inner sep=1.5pt] {$\theta=\t^\circ$};
+  }
+  %\draw[black!60!red,thick] (0,0.1*\R) |- (0.1*\R,0) ; % overlap in corner
+\end{tikzpicture}
 \end{document}
 </file>

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