mirror of
https://expo.survex.com/repositories/expoweb/.git/
synced 2024-11-22 07:11:55 +00:00
361 lines
11 KiB
TeX
361 lines
11 KiB
TeX
\documentclass[12pt,a4paper]{article}
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%\documentclass[12pt,letter]{article}
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% if using letter, make margin=5mm
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% Change the scale using the value on line 24, and the size of the divisions on line 27
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% The protractors are 4cm in radius
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% packages
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\usepackage{tikz}
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\usepackage[outline]{contour}
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\usepackage{standalone}
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\usepackage[margin=10mm]{geometry}
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\newcommand{\therionprotract}{
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\begin{tikzpicture}[scale=1]
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\contourlength{1.2pt}
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% multiple styles
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% Therionfalse generates table of cotangents
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% Colourflase does what you'd expect
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\newif\ifTherion
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\newif\ifColour
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%\Therionfalse
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\Theriontrue
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%\Colourfalse
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\Colourtrue
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% ********************************************************************************
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% Set the coordinates and dimensions to draw from
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% ********************************************************************************
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% Origin
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\coordinate (O) at (0,0);
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% Scale of the protractor, change this to the desired scale
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\pgfmathsetmacro{\scaleto}{250} % 1:scaleto
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% Size of the major divisions on the linear scale
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\pgfmathsetmacro{\majordivision}{1} % size in meters
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% Size of the text numbers
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\newcommand{\textsize}{\footnotesize}
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% Intrinisc dimensions and conversion factors
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\pgfmathsetmacro{\convert}{100} % conversion from meters to centimeters
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\pgfmathsetmacro{\mintick}{0.1} % size in centimeters
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\pgfmathsetmacro{\majtick}{0.2} % size in centimeters
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\pgfmathsetmacro{\minradii}{0.5} % fractional radius where dotted radial lines start
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\pgfmathsetmacro{\minradiiend}{1-\minradii} % remainder
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% Size and scale of the drawing
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\pgfmathsetmacro{\rad}{4} % size on page in cm
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\pgfmathsetmacro{\majdiv}{\majordivision*\convert/\scaleto} % size on page in cm
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\pgfmathsetmacro{\mindiv}{0.5*\majdiv} % size on page in cm
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% Slightly reduced radii for the scale bar
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\pgfmathsetmacro{\radscale}{\rad-\majdiv}
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\pgfmathsetmacro{\linscale}{\rad-\mindiv}
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% Numbers for labelling
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\pgfmathsetmacro{\radius}{\rad*\scaleto/\convert} % size in meters
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\pgfmathsetmacro{\minordivision}{0.5*\majordivision} % size in meters
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% ********************************************************************************
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% Draw the foreshortening lines
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% ********************************************************************************
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\ifTherion
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% Vertical lines
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\foreach \var in {0,\majdiv,...,\radscale}
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{
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\draw[gray] (O) ++ (\var,0) -- ++ (0,\rad);
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\draw[gray] (O) ++ (-\var,0) -- ++ (0,\rad);
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}
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% White out the excess length
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\draw[thick,white,fill=white] (O) ++ (\rad,0) arc(0:180:\rad) -- ++ (0,\rad) -- ++ (2*\rad,0) -- cycle;
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% ********************************************************************************
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% Draw the circumcircles
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% ********************************************************************************
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\foreach \var in {0,\majdiv,...,\rad}
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{
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\draw[gray] (O) ++ (\var,0) arc (0:180:\var);
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}
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\fi
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% ********************************************************************************
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% Draw the radii
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% ********************************************************************************
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%
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% note these colours are duplicated from the Steve Wells and Joe Zokaties
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% ``Cave Survey protractor'' previously sold % by american caving vendor IMO.
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% Because of the black at 90, they are not evenly divided.
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\ifColour
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\foreach \theta in {10,50,100,140}
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{
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\draw[blue] (O) ++ (\theta:\majdiv) -- ++ (\theta:\radscale);
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}
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\foreach \theta in {20,60,110,150}
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{
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\draw[pink] (O) ++ (\theta:\majdiv) -- ++ (\theta:\radscale);
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}
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\foreach \theta in {30,70,120,160}
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{
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\draw[green] (O) ++ (\theta:\majdiv) -- ++ (\theta:\radscale);
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}
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\foreach \theta in {40,80,130,170}
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{
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\draw[gray] (O) ++ (\theta:\majdiv) -- ++ (\theta:\radscale);
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}
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\else
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\foreach \theta in {10,20,...,170}
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{
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\draw[black] (O) ++ (\theta:\majdiv) -- ++ (\theta:\radscale);
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}
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\fi
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\ifTherion
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\foreach \theta in {5,15,...,175}
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{
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\draw[black,dotted] (O) ++ (\theta:\minradii*\rad) -- ++ (\theta:\minradiiend*\rad);
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}
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\fi
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\draw[black,thick] (O) ++ (90:0) -- ++ (90:\radscale);
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% ********************************************************************************
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% Draw the angular scale
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% ***************************h*****************************************************
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\foreach \theta in {1,2,...,179}
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{
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% draw ticks from slightly outside of circle
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\draw[black] (O) ++ (\theta:\rad+\mintick) -- ++ (\theta:-2*\mintick);
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}
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\foreach \theta in {5,10,...,175}
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{
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\draw[black,thick] (O) ++ (\theta:\rad) -- ++ (\theta:-\majtick);
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}
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% ********************************************************************************
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% Draw the linear scale
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% ********************************************************************************
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\foreach \var in {0,\mindiv,...,\linscale}
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{
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% draw ticks from slightly outside of circle
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\ifColour
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\draw[red,thick] (O) ++ (-\var,-\mintick) -- ++ (0,2*\mintick);
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\else
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\draw[black,thick] (O) ++ (-\var,-\mintick) -- ++ (0,2*\mintick);
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\fi
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\draw[black,thick] (O) ++ (\var,-\mintick) -- ++ (0,2*\mintick);
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}
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%this is done in the numeric section. very weird
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%
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%\foreach \var in {0,\majdiv,...,\linscale}
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%{
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% \draw[black,thick] (O) ++ (\var,0) -- ++ (0,\majtick);
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% \draw[red,thick] (O) ++ (-\var,0) -- ++ (0,\majtick);
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%}
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% ********************************************************************************
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% Draw the outline
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% ********************************************************************************
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\draw[black,thick] (O) ++ (\rad,0) arc (0:180:\rad) -- cycle;
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%\draw[black,thick] (O) -- ++ (0,\majtick);
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% ********************************************************************************
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% Draw the angle numbers
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% ********************************************************************************
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%
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% note: we offset these in order to use a larger font and maintain legibility
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%
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\foreach \theta in {10,30,...,70}
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{
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\pgfmathsetmacro{\thetaopposite}{\theta+180}
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\draw[black] (O) ++ (\theta:\rad) -- ++ (\theta:-\majtick) node[anchor=north,near start,sloped,rotate=-90,text=black] {
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\textsize
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\begin{tabular}{c}
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\contour{white}{\pgfmathprintnumber{\theta}}\\
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\ifColour
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\contour{white}{\color{red}\pgfmathprintnumber{\thetaopposite}}
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\else
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\contour{white}{\pgfmathprintnumber{\thetaopposite}}
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\fi
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\end{tabular}
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};
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}
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\foreach \theta in {20,40,...,80}
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{
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\pgfmathsetmacro{\thetaopposite}{\theta+180}
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\draw[black] (O) ++ (\theta:\rad) -- ++ (\theta:-5*\majtick) node[anchor=north,near start,sloped,rotate=-90,text=black] {
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\textsize
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\begin{tabular}{c}
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\contour{white}{\pgfmathprintnumber{\theta}}\\
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\ifColour
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\contour{white}{\color{red}\pgfmathprintnumber{\thetaopposite}}
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\else
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\contour{white}{\pgfmathprintnumber{\thetaopposite}}
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\fi
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\end{tabular}
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};
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}
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\foreach \theta in {90,110,...,170}
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{
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\pgfmathsetmacro{\thetaopposite}{\theta+180}
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\draw[black] (O) ++ (\theta:\rad) -- ++ (\theta:-\majtick) node[anchor=north,near start,sloped,rotate=90,text=black] {
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\textsize
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\begin{tabular}{c}
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\contour{white}{\pgfmathprintnumber{\theta}}\\
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\ifColour
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\contour{white}{\color{red}\pgfmathprintnumber{\thetaopposite}}
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\else
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\contour{white}{\pgfmathprintnumber{\thetaopposite}}
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\fi
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\end{tabular}
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};
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};
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\foreach \theta in {100,120,...,160}
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{
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\pgfmathsetmacro{\thetaopposite}{\theta+180}
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\draw[black] (O) ++ (\theta:\rad) -- ++ (\theta:-5*\majtick) node[anchor=north,near start,sloped,rotate=90,text=black] {
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\textsize
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\begin{tabular}{c}
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\contour{white}{\pgfmathprintnumber{\theta}}\\
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\ifColour
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\contour{white}{\color{red}\pgfmathprintnumber{\thetaopposite}}
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\else
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\contour{white}{\pgfmathprintnumber{\thetaopposite}}
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\fi
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\end{tabular}
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};
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};
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% ********************************************************************************
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% Draw the linear numbers
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% ********************************************************************************
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%\pgfmathsetmacro{\labmax}{\radius-\majordivision}
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% FIXME this should be computable. need to figure out height of table from above section!
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\pgfmathsetmacro{\labmax}{7} %hardcode as 7 so things fit right
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\pgfmathsetmacro{\labsecond}{\majordivision+\majordivision}
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\foreach \var in {\majordivision,\labsecond,...,\labmax}
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{
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\pgfmathsetmacro{\varpos}{\var*\convert/\scaleto}
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\draw[black,thick] (O) ++ (\varpos,0) -- ++ (0,\majtick) node [above=-2pt] {\contour{white}{\textsize\pgfmathprintnumber{\var}}};
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\ifColour
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\draw[red,thick] (O) ++ (-\varpos,0) -- ++ (0,\majtick) node [above=-2pt] {\contour{white}{\textsize\color{red}\pgfmathprintnumber{\var}}};
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\else
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\draw[black,thick] (O) ++ (-\varpos,0) -- ++ (0,\majtick) node [above=-2pt] {\contour{white}{\textsize\pgfmathprintnumber{\var}}};
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\fi
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}
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\draw[black,thick] (O) ++ (0,0) -- ++ (0,\majtick) node [above=-2pt] {\contour{white}{\textsize\pgfmathprintnumber{0}}};
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% ********************************************************************************
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% Draw the scale number
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% ********************************************************************************
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\ifTherion
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\draw[black] (O) ++ (0,\rad/3) -- ++ (0,\rad/3) node [midway,anchor=center,sloped,text=black] {\contour{white}{\tiny $1$:\pgfmathprintnumber{\scaleto}}};
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\else
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\draw[black] (O) ++ (0,\rad/8) -- ++ (0,\rad/8) node [midway,anchor=center,text=black] {\contour{white}{\tiny $1$:\pgfmathprintnumber{\scaleto}}};
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% Draw a table of conversions for non-therion
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\renewcommand{\arraystretch}{0.1}
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\draw[black] (O) ++ (0,\rad/3) -- ++ (0,\rad/3) node [midway,anchor=center,sloped,rotate=180,text=black]
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{
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\tiny
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\setlength{\tabcolsep}{1pt}
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\begin{tabular}{cl}
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\contour{white}{0} & --- \\
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& \contour{white}{1.0} \\
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\contour{white}{18} & --- \\
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& \contour{white}{0.9} \\
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\contour{white}{32} & --- \\
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& \contour{white}{0.8} \\
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\contour{white}{41} & --- \\
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& \contour{white}{0.7} \\
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\contour{white}{50} & --- \\
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& \contour{white}{0.6} \\
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\contour{white}{57} & ---\\
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& \contour{white}{0.5} \\
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\contour{white}{63} & ---\\
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& \contour{white}{0.4} \\
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\contour{white}{70} & --- \\
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& \contour{white}{0.3} \\
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\contour{white}{76} & ---\\
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& \contour{white}{0.2} \\
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\contour{white}{81} & ---\\
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& \contour{white}{0.1} \\
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\contour{white}{87} & ---
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\end{tabular}
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};
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%\draw[clear] (O) ++ (0,\rad/3) -- ++ (0,\rad/3) node [midway,anchor=center,sloped,rotate=180,text=black]
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\fi
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\end{tikzpicture}
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}
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\begin{document}
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\begin{figure}
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\centering
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\begin{tikzpicture}
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\pgfmathsetmacro{\xdist}{8.5}
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\pgfmathsetmacro{\ydist}{4.5}
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\foreach \xval in {1,2}
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{
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\foreach \yval in {1,2,...,6}
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{
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\node at (\xval*\xdist,\yval*\ydist) {\therionprotract};
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}
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}
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\end{tikzpicture}
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\end{figure}
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\end{document}
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