mirror of
https://expo.survex.com/repositories/expoweb/.git/
synced 2024-12-22 08:22:22 +00:00
361 lines
11 KiB
TeX
361 lines
11 KiB
TeX
\documentclass[12pt,a4paper]{article}
|
|
%\documentclass[12pt,letter]{article}
|
|
% if using letter, make margin=5mm
|
|
|
|
% Change the scale using the value on line 24, and the size of the divisions on line 27
|
|
% The protractors are 4cm in radius
|
|
|
|
% packages
|
|
\usepackage{tikz}
|
|
\usepackage[outline]{contour}
|
|
\usepackage{standalone}
|
|
\usepackage[margin=10mm]{geometry}
|
|
|
|
\newcommand{\therionprotract}{
|
|
\begin{tikzpicture}[scale=1]
|
|
|
|
\contourlength{1.2pt}
|
|
|
|
% multiple styles
|
|
% Therionfalse generates table of cotangents
|
|
% Colourflase does what you'd expect
|
|
\newif\ifTherion
|
|
\newif\ifColour
|
|
|
|
%\Therionfalse
|
|
\Theriontrue
|
|
|
|
%\Colourfalse
|
|
\Colourtrue
|
|
|
|
% ********************************************************************************
|
|
% Set the coordinates and dimensions to draw from
|
|
% ********************************************************************************
|
|
|
|
% Origin
|
|
\coordinate (O) at (0,0);
|
|
|
|
% Scale of the protractor, change this to the desired scale
|
|
\pgfmathsetmacro{\scaleto}{250} % 1:scaleto
|
|
|
|
% Size of the major divisions on the linear scale
|
|
\pgfmathsetmacro{\majordivision}{1} % size in meters
|
|
|
|
% Size of the text numbers
|
|
\newcommand{\textsize}{\footnotesize}
|
|
|
|
% Intrinisc dimensions and conversion factors
|
|
\pgfmathsetmacro{\convert}{100} % conversion from meters to centimeters
|
|
\pgfmathsetmacro{\mintick}{0.1} % size in centimeters
|
|
\pgfmathsetmacro{\majtick}{0.2} % size in centimeters
|
|
\pgfmathsetmacro{\minradii}{0.5} % fractional radius where dotted radial lines start
|
|
\pgfmathsetmacro{\minradiiend}{1-\minradii} % remainder
|
|
|
|
% Size and scale of the drawing
|
|
\pgfmathsetmacro{\rad}{4} % size on page in cm
|
|
\pgfmathsetmacro{\majdiv}{\majordivision*\convert/\scaleto} % size on page in cm
|
|
\pgfmathsetmacro{\mindiv}{0.5*\majdiv} % size on page in cm
|
|
|
|
% Slightly reduced radii for the scale bar
|
|
\pgfmathsetmacro{\radscale}{\rad-\majdiv}
|
|
\pgfmathsetmacro{\linscale}{\rad-\mindiv}
|
|
|
|
% Numbers for labelling
|
|
\pgfmathsetmacro{\radius}{\rad*\scaleto/\convert} % size in meters
|
|
\pgfmathsetmacro{\minordivision}{0.5*\majordivision} % size in meters
|
|
|
|
|
|
% ********************************************************************************
|
|
% Draw the foreshortening lines
|
|
% ********************************************************************************
|
|
|
|
\ifTherion
|
|
% Vertical lines
|
|
\foreach \var in {0,\majdiv,...,\radscale}
|
|
{
|
|
\draw[gray] (O) ++ (\var,0) -- ++ (0,\rad);
|
|
\draw[gray] (O) ++ (-\var,0) -- ++ (0,\rad);
|
|
}
|
|
|
|
% White out the excess length
|
|
\draw[thick,white,fill=white] (O) ++ (\rad,0) arc(0:180:\rad) -- ++ (0,\rad) -- ++ (2*\rad,0) -- cycle;
|
|
|
|
|
|
% ********************************************************************************
|
|
% Draw the circumcircles
|
|
% ********************************************************************************
|
|
|
|
\foreach \var in {0,\majdiv,...,\rad}
|
|
{
|
|
\draw[gray] (O) ++ (\var,0) arc (0:180:\var);
|
|
}
|
|
\fi
|
|
|
|
|
|
% ********************************************************************************
|
|
% Draw the radii
|
|
% ********************************************************************************
|
|
|
|
%
|
|
% note these colours are duplicated from the Steve Wells and Joe Zokaties
|
|
% ``Cave Survey protractor'' previously sold % by american caving vendor IMO.
|
|
% Because of the black at 90, they are not evenly divided.
|
|
|
|
\ifColour
|
|
\foreach \theta in {10,50,100,140}
|
|
{
|
|
\draw[blue] (O) ++ (\theta:\majdiv) -- ++ (\theta:\radscale);
|
|
}
|
|
|
|
\foreach \theta in {20,60,110,150}
|
|
{
|
|
\draw[pink] (O) ++ (\theta:\majdiv) -- ++ (\theta:\radscale);
|
|
}
|
|
|
|
\foreach \theta in {30,70,120,160}
|
|
{
|
|
\draw[green] (O) ++ (\theta:\majdiv) -- ++ (\theta:\radscale);
|
|
}
|
|
|
|
\foreach \theta in {40,80,130,170}
|
|
{
|
|
\draw[gray] (O) ++ (\theta:\majdiv) -- ++ (\theta:\radscale);
|
|
}
|
|
|
|
\else
|
|
\foreach \theta in {10,20,...,170}
|
|
{
|
|
\draw[black] (O) ++ (\theta:\majdiv) -- ++ (\theta:\radscale);
|
|
}
|
|
\fi
|
|
|
|
\ifTherion
|
|
\foreach \theta in {5,15,...,175}
|
|
{
|
|
\draw[black,dotted] (O) ++ (\theta:\minradii*\rad) -- ++ (\theta:\minradiiend*\rad);
|
|
}
|
|
\fi
|
|
|
|
\draw[black,thick] (O) ++ (90:0) -- ++ (90:\radscale);
|
|
|
|
|
|
% ********************************************************************************
|
|
% Draw the angular scale
|
|
% ***************************h*****************************************************
|
|
|
|
\foreach \theta in {1,2,...,179}
|
|
{
|
|
% draw ticks from slightly outside of circle
|
|
\draw[black] (O) ++ (\theta:\rad+\mintick) -- ++ (\theta:-2*\mintick);
|
|
}
|
|
|
|
\foreach \theta in {5,10,...,175}
|
|
{
|
|
\draw[black,thick] (O) ++ (\theta:\rad) -- ++ (\theta:-\majtick);
|
|
}
|
|
|
|
|
|
% ********************************************************************************
|
|
% Draw the linear scale
|
|
% ********************************************************************************
|
|
|
|
|
|
\foreach \var in {0,\mindiv,...,\linscale}
|
|
{
|
|
% draw ticks from slightly outside of circle
|
|
\ifColour
|
|
\draw[red,thick] (O) ++ (-\var,-\mintick) -- ++ (0,2*\mintick);
|
|
\else
|
|
\draw[black,thick] (O) ++ (-\var,-\mintick) -- ++ (0,2*\mintick);
|
|
\fi
|
|
\draw[black,thick] (O) ++ (\var,-\mintick) -- ++ (0,2*\mintick);
|
|
}
|
|
|
|
%this is done in the numeric section. very weird
|
|
%
|
|
%\foreach \var in {0,\majdiv,...,\linscale}
|
|
%{
|
|
% \draw[black,thick] (O) ++ (\var,0) -- ++ (0,\majtick);
|
|
% \draw[red,thick] (O) ++ (-\var,0) -- ++ (0,\majtick);
|
|
%}
|
|
|
|
|
|
|
|
% ********************************************************************************
|
|
% Draw the outline
|
|
% ********************************************************************************
|
|
|
|
\draw[black,thick] (O) ++ (\rad,0) arc (0:180:\rad) -- cycle;
|
|
%\draw[black,thick] (O) -- ++ (0,\majtick);
|
|
|
|
|
|
% ********************************************************************************
|
|
% Draw the angle numbers
|
|
% ********************************************************************************
|
|
|
|
%
|
|
% note: we offset these in order to use a larger font and maintain legibility
|
|
%
|
|
|
|
\foreach \theta in {10,30,...,70}
|
|
{
|
|
\pgfmathsetmacro{\thetaopposite}{\theta+180}
|
|
|
|
\draw[black] (O) ++ (\theta:\rad) -- ++ (\theta:-\majtick) node[anchor=north,near start,sloped,rotate=-90,text=black] {
|
|
\textsize
|
|
\begin{tabular}{c}
|
|
\contour{white}{\pgfmathprintnumber{\theta}}\\
|
|
\ifColour
|
|
\contour{white}{\color{red}\pgfmathprintnumber{\thetaopposite}}
|
|
\else
|
|
\contour{white}{\pgfmathprintnumber{\thetaopposite}}
|
|
\fi
|
|
\end{tabular}
|
|
};
|
|
}
|
|
|
|
\foreach \theta in {20,40,...,80}
|
|
{
|
|
\pgfmathsetmacro{\thetaopposite}{\theta+180}
|
|
|
|
\draw[black] (O) ++ (\theta:\rad) -- ++ (\theta:-5*\majtick) node[anchor=north,near start,sloped,rotate=-90,text=black] {
|
|
\textsize
|
|
\begin{tabular}{c}
|
|
\contour{white}{\pgfmathprintnumber{\theta}}\\
|
|
\ifColour
|
|
\contour{white}{\color{red}\pgfmathprintnumber{\thetaopposite}}
|
|
\else
|
|
\contour{white}{\pgfmathprintnumber{\thetaopposite}}
|
|
\fi
|
|
\end{tabular}
|
|
};
|
|
}
|
|
|
|
\foreach \theta in {90,110,...,170}
|
|
{
|
|
\pgfmathsetmacro{\thetaopposite}{\theta+180}
|
|
|
|
\draw[black] (O) ++ (\theta:\rad) -- ++ (\theta:-\majtick) node[anchor=north,near start,sloped,rotate=90,text=black] {
|
|
\textsize
|
|
\begin{tabular}{c}
|
|
\contour{white}{\pgfmathprintnumber{\theta}}\\
|
|
\ifColour
|
|
\contour{white}{\color{red}\pgfmathprintnumber{\thetaopposite}}
|
|
\else
|
|
\contour{white}{\pgfmathprintnumber{\thetaopposite}}
|
|
\fi
|
|
\end{tabular}
|
|
};
|
|
};
|
|
|
|
\foreach \theta in {100,120,...,160}
|
|
{
|
|
\pgfmathsetmacro{\thetaopposite}{\theta+180}
|
|
|
|
\draw[black] (O) ++ (\theta:\rad) -- ++ (\theta:-5*\majtick) node[anchor=north,near start,sloped,rotate=90,text=black] {
|
|
\textsize
|
|
\begin{tabular}{c}
|
|
\contour{white}{\pgfmathprintnumber{\theta}}\\
|
|
\ifColour
|
|
\contour{white}{\color{red}\pgfmathprintnumber{\thetaopposite}}
|
|
\else
|
|
\contour{white}{\pgfmathprintnumber{\thetaopposite}}
|
|
\fi
|
|
\end{tabular}
|
|
};
|
|
};
|
|
|
|
|
|
|
|
% ********************************************************************************
|
|
% Draw the linear numbers
|
|
% ********************************************************************************
|
|
|
|
%\pgfmathsetmacro{\labmax}{\radius-\majordivision}
|
|
% FIXME this should be computable. need to figure out height of table from above section!
|
|
\pgfmathsetmacro{\labmax}{7} %hardcode as 7 so things fit right
|
|
\pgfmathsetmacro{\labsecond}{\majordivision+\majordivision}
|
|
|
|
\foreach \var in {\majordivision,\labsecond,...,\labmax}
|
|
{
|
|
\pgfmathsetmacro{\varpos}{\var*\convert/\scaleto}
|
|
|
|
|
|
\draw[black,thick] (O) ++ (\varpos,0) -- ++ (0,\majtick) node [above=-2pt] {\contour{white}{\textsize\pgfmathprintnumber{\var}}};
|
|
\ifColour
|
|
\draw[red,thick] (O) ++ (-\varpos,0) -- ++ (0,\majtick) node [above=-2pt] {\contour{white}{\textsize\color{red}\pgfmathprintnumber{\var}}};
|
|
\else
|
|
\draw[black,thick] (O) ++ (-\varpos,0) -- ++ (0,\majtick) node [above=-2pt] {\contour{white}{\textsize\pgfmathprintnumber{\var}}};
|
|
\fi
|
|
}
|
|
|
|
\draw[black,thick] (O) ++ (0,0) -- ++ (0,\majtick) node [above=-2pt] {\contour{white}{\textsize\pgfmathprintnumber{0}}};
|
|
|
|
% ********************************************************************************
|
|
% Draw the scale number
|
|
% ********************************************************************************
|
|
|
|
\ifTherion
|
|
\draw[black] (O) ++ (0,\rad/3) -- ++ (0,\rad/3) node [midway,anchor=center,sloped,text=black] {\contour{white}{\tiny $1$:\pgfmathprintnumber{\scaleto}}};
|
|
\else
|
|
\draw[black] (O) ++ (0,\rad/8) -- ++ (0,\rad/8) node [midway,anchor=center,text=black] {\contour{white}{\tiny $1$:\pgfmathprintnumber{\scaleto}}};
|
|
|
|
% Draw a table of conversions for non-therion
|
|
|
|
\renewcommand{\arraystretch}{0.1}
|
|
\draw[black] (O) ++ (0,\rad/3) -- ++ (0,\rad/3) node [midway,anchor=center,sloped,rotate=180,text=black]
|
|
{
|
|
\tiny
|
|
\setlength{\tabcolsep}{1pt}
|
|
\begin{tabular}{cl}
|
|
\contour{white}{0} & --- \\
|
|
& \contour{white}{1.0} \\
|
|
\contour{white}{18} & --- \\
|
|
& \contour{white}{0.9} \\
|
|
\contour{white}{32} & --- \\
|
|
& \contour{white}{0.8} \\
|
|
\contour{white}{41} & --- \\
|
|
& \contour{white}{0.7} \\
|
|
\contour{white}{50} & --- \\
|
|
& \contour{white}{0.6} \\
|
|
\contour{white}{57} & ---\\
|
|
& \contour{white}{0.5} \\
|
|
\contour{white}{63} & ---\\
|
|
& \contour{white}{0.4} \\
|
|
\contour{white}{70} & --- \\
|
|
& \contour{white}{0.3} \\
|
|
\contour{white}{76} & ---\\
|
|
& \contour{white}{0.2} \\
|
|
\contour{white}{81} & ---\\
|
|
& \contour{white}{0.1} \\
|
|
\contour{white}{87} & ---
|
|
\end{tabular}
|
|
};
|
|
%\draw[clear] (O) ++ (0,\rad/3) -- ++ (0,\rad/3) node [midway,anchor=center,sloped,rotate=180,text=black]
|
|
|
|
|
|
\fi
|
|
|
|
\end{tikzpicture}
|
|
}
|
|
|
|
\begin{document}
|
|
\begin{figure}
|
|
\centering
|
|
\begin{tikzpicture}
|
|
|
|
\pgfmathsetmacro{\xdist}{8.5}
|
|
\pgfmathsetmacro{\ydist}{4.5}
|
|
|
|
\foreach \xval in {1,2}
|
|
{
|
|
\foreach \yval in {1,2,...,6}
|
|
{
|
|
\node at (\xval*\xdist,\yval*\ydist) {\therionprotract};
|
|
}
|
|
}
|
|
|
|
\end{tikzpicture}
|
|
\end{figure}
|
|
\end{document}
|