commit d42f7f6d972fc4a35bf2d6e49e0120b37e413bd8 Author: Nathanaël Restori Date: Tue Dec 29 16:10:25 2015 +0100 Initial commit diff --git a/common.tex b/common.tex new file mode 100644 index 0000000..4f5bd7c --- /dev/null +++ b/common.tex @@ -0,0 +1,266 @@ +\usepackage{xltxtra} +\usepackage[top=13pt, bottom=12pt, left=13pt, right=12pt]{geometry} +\usepackage{tikz} +\usepackage{lscape} + +\usetikzlibrary{intersections} + +\newcommand\grid[3]{ + \def\xmax{#1}; + \def\ymax{#2}; + \def\mycolor{#3}; + + % Draw the grid + \draw[step=1mm, \mycolor,line width=0.1pt] (0,0) grid (\xmax,\ymax); + \draw[step=0.5cm,\mycolor,line width=0.3pt ] (0,0) grid (\xmax,\ymax); + \draw[step=1cm, \mycolor,line width=0.6pt ] (0,0) grid (\xmax,\ymax); +} + +\newcommand\vlin[5]{ + \def\xmax{#1}; + \def\ymax{#2}; + \def\rep{#3}; + \def\subdiv{#4}; + \def\mycolor{#5}; + + \pgfmathtruncatemacro\repM{\rep-1} + \pgfmathtruncatemacro\subdivM{\subdiv-1} + + % Draw the first line + \draw[\mycolor, line width=0.9pt] (0,0) -- (0,\ymax); + + \foreach \z in {0,...,\repM}{ + \pgfmathsetmacro\xoffset{\xmax/\rep*\z} + \pgfmathsetmacro\xwidth {\xmax/\rep} + + % Draw the main lines + \draw[\mycolor, line width=0.9pt] ({\xoffset + \xwidth},0) -- ({\xoffset + \xwidth},\ymax); + + % Draw the secondary lines + \draw[\mycolor, line width=0.6pt] ({\xoffset + 0.5*\xwidth},0) -- ({\xoffset + 0.5*\xwidth},\ymax); + + % Draw the subdivision lines + \foreach \y in {1,...,\subdivM}{ + \draw[\mycolor, line width=0.1pt] ({\xoffset + \y*\xwidth/\subdiv},0) -- ({\xoffset + \y*\xwidth/\subdiv},\ymax); + } + } +} + +\newcommand\hlin[5]{ + \def\xmax{#1}; + \def\ymax{#2}; + \def\rep{#3}; + \def\subdiv{#4}; + \def\mycolor{#5}; + + \pgfmathtruncatemacro\repM{\rep-1} + \pgfmathtruncatemacro\subdivM{\subdiv-1} + + % Draw the first line + \draw[\mycolor, line width=0.9pt] (0,0) -- (\xmax,0); + + \foreach \z in {0,...,\repM}{ + \pgfmathsetmacro\xoffset{\ymax/\rep*\z} + \pgfmathsetmacro\xwidth {\ymax/\rep} + + % Draw the main lines + \draw[\mycolor, line width=0.9pt] (0,{\xoffset + \xwidth}) -- (\xmax,{\xoffset + \xwidth}); + + % Draw the secondary lines + \draw[\mycolor, line width=0.6pt] (0,{\xoffset + 0.5*\xwidth}) -- (\xmax,{\xoffset + 0.5*\xwidth}); + + % Draw the subdivision lines + \foreach \y in {1,...,\subdivM}{ + \draw[\mycolor, line width=0.1pt] (0,{\xoffset + \y*\xwidth/\subdiv}) -- (\xmax,{\xoffset + \y*\xwidth/\subdiv}); + } + } +} + +\newcommand\vlog[8]{ + \def\xmax{#1}; + \def\ymax{#2}; + \def\rep{#3}; + \def\mycolor{#8}; + + % Draw the first line + \draw[\mycolor, line width=0.9pt] (0,0) -- (0,\ymax); + + \pgfmathtruncatemacro\repM{\rep-1} + + \foreach \z in {0,...,\repM}{ + \pgfmathsetmacro\offset{\xmax/\rep*\z} + \pgfmathsetmacro\width {\xmax/\rep} + + \foreach \x in {#4}{ + % Draw the main + secondary lines + \draw[\mycolor, line width=0.9pt] ({\offset + log10(\x)*\width},0) node[anchor=north] {\tiny $\x$} -- ({\offset + log10(\x)*\width},\ymax); + \draw[\mycolor, line width=0.6pt] ({\offset + log10(\x-0.5)*\width},0) -- ({\offset + log10(\x-0.5)*\width},\ymax); + + % Draw the subdivision lines (10) + \foreach \y in {1,2,3,4,5,6,7,8,9}{ + \draw[\mycolor, line width=0.1pt] ({\offset + log10(\x-1)*\width + \y*log10((\x-0.5)/(\x-1))/10*\width},0) -- ({\offset + log10(\x-1)*\width + \y*log10((\x-0.5)/(\x-1))/10*\width},\ymax); + \draw[\mycolor, line width=0.1pt] ({\offset + log10(\x-0.5)*\width + \y*log10((\x)/(\x-0.5))/10*\width},0) -- ({\offset + log10(\x-0.5)*\width + \y*log10((\x)/(\x-0.5))/10*\width},\ymax); + } + } + + \foreach \x in {#5}{ + % Draw the main + secondary lines + \draw[\mycolor, line width=0.9pt] ({\offset + log10(\x)*\width},0) node[anchor=north] {\tiny $\x$} -- ({\offset + log10(\x)*\width},\ymax); + \draw[\mycolor, line width=0.6pt] ({\offset + log10(\x-0.5)*\width},0) -- ({\offset + log10(\x-0.5)*\width},\ymax); + + % Draw the subdivision lines (5) + \foreach \y in {1,2,3,4}{ + \draw[\mycolor, line width=0.1pt] ({\offset + log10(\x-1)*\width + \y*log10((\x-0.5)/(\x-1))/5*\width},0) -- ({\offset + log10(\x-1)*\width + \y*log10((\x-0.5)/(\x-1))/5*\width},\ymax); + \draw[\mycolor, line width=0.1pt] ({\offset + log10(\x-0.5)*\width + \y*log10((\x)/(\x-0.5))/5*\width},0) -- ({\offset + log10(\x-0.5)*\width + \y*log10((\x)/(\x-0.5))/5*\width},\ymax); + } + } + + \foreach \x in {#6}{ + % Draw the main lines + \draw[\mycolor, line width=0.9pt] ({\offset + log10(\x)*\width},0) node[anchor=north] {\tiny $\x$} -- ({\offset + log10(\x)*\width},\ymax); + + % Draw the subdivision lines (10) + \foreach \y in {1,2,3,4,5,6,7,8,9}{ + \draw[\mycolor, line width=0.1pt] ({\offset + log10(\x-1)*\width + \y*log10((\x)/(\x-1))/10*\width},0) -- ({\offset + log10(\x-1)*\width + \y*log10((\x)/(\x-1))/10*\width},\ymax); + } + } + + \foreach \x in {#7}{ + % Draw the main lines + \draw[\mycolor, line width=0.9pt] ({\offset + log10(\x)*\width},0) node[anchor=north] {\tiny $\x$} -- ({\offset + log10(\x)*\width},\ymax); + + % Draw the subdivision lines (5) + \foreach \y in {1,2,3,4}{ + \draw[\mycolor, line width=0.1pt] ({\offset + log10(\x-1)*\width + \y*log10((\x)/(\x-1))/5*\width},0) -- ({\offset + log10(\x-1)*\width + \y*log10((\x)/(\x-1))/5*\width},\ymax); + } + } + } +} + +\newcommand\hlog[8]{ + \def\xmax{#1}; + \def\ymax{#2}; + \def\rep{#3}; + \def\mycolor{#8}; + + % Draw the first line + \draw[\mycolor, line width=0.9pt] (0,0) -- (\xmax,0); + + \pgfmathtruncatemacro\repM{\rep-1} + + \foreach \z in {0,...,\repM}{ + \pgfmathsetmacro\offset{\ymax/\rep*\z} + \pgfmathsetmacro\width {\ymax/\rep} + + \foreach \x in {#4}{ + % Draw the main + secondary lines + \draw[\mycolor, line width=0.9pt] (0,{\offset + log10(\x)*\width}) node[anchor=east] {\tiny $\x$} -- (\xmax,{\offset + log10(\x)*\width}); + \draw[\mycolor, line width=0.6pt] (0,{\offset + log10(\x-0.5)*\width}) -- (\xmax,{\offset + log10(\x-0.5)*\width}); + + % Draw the subdivision lines (10) + \foreach \y in {1,2,3,4,5,6,7,8,9}{ + \draw[\mycolor, line width=0.1pt] (0,{\offset + log10(\x-1)*\width + \y*log10((\x-0.5)/(\x-1))/10*\width}) -- (\xmax,{\offset + log10(\x-1)*\width + \y*log10((\x-0.5)/(\x-1))/10*\width}); + \draw[\mycolor, line width=0.1pt] (0,{\offset + log10(\x-0.5)*\width + \y*log10((\x)/(\x-0.5))/10*\width}) -- (\xmax,{\offset + log10(\x-0.5)*\width + \y*log10((\x)/(\x-0.5))/10*\width}); + } + } + + \foreach \x in {#5}{ + % Draw the main + secondary lines + \draw[\mycolor, line width=0.9pt] (0,{\offset + log10(\x)*\width}) node[anchor=east] {\tiny $\x$} -- (\xmax,{\offset + log10(\x)*\width}); + \draw[\mycolor, line width=0.6pt] (0,{\offset + log10(\x-0.5)*\width}) -- (\xmax,{\offset + log10(\x-0.5)*\width}); + + % Draw the subdivision lines (5) + \foreach \y in {1,2,3,4}{ + \draw[\mycolor, line width=0.1pt] (0,{\offset + log10(\x-1)*\width + \y*log10((\x-0.5)/(\x-1))/5*\width}) -- (\xmax,{\offset + log10(\x-1)*\width + \y*log10((\x-0.5)/(\x-1))/5*\width}); + \draw[\mycolor, line width=0.1pt] (0,{\offset + log10(\x-0.5)*\width + \y*log10((\x)/(\x-0.5))/5*\width}) -- (\xmax,{\offset + log10(\x-0.5)*\width + \y*log10((\x)/(\x-0.5))/5*\width}); + } + } + + \foreach \x in {#6}{ + % Draw the main lines + \draw[\mycolor, line width=0.9pt] (0,{\offset + log10(\x)*\width}) node[anchor=east] {\tiny $\x$} -- (\xmax,{\offset + log10(\x)*\width}); + + % Draw the subdivision lines (10) + \foreach \y in {1,2,3,4,5,6,7,8,9}{ + \draw[\mycolor, line width=0.1pt] (0,{\offset + log10(\x-1)*\width + \y*log10((\x)/(\x-1))/10*\width}) -- (\xmax,{\offset + log10(\x-1)*\width + \y*log10((\x)/(\x-1))/10*\width}); + } + } + + \foreach \x in {#7}{ + % Draw the main lines + \draw[\mycolor, line width=0.9pt] (0,{\offset + log10(\x)*\width}) node[anchor=east] {\tiny $\x$} -- (\xmax,{\offset + log10(\x)*\width}); + + % Draw the subdivision lines (5) + \foreach \y in {1,2,3,4}{ + \draw[\mycolor, line width=0.1pt] (0,{\offset + log10(\x-1)*\width + \y*log10((\x)/(\x-1))/5*\width}) -- (\xmax,{\offset + log10(\x-1)*\width + \y*log10((\x)/(\x-1))/5*\width}); + } + } + } +} +\newcommand\polar[3]{ + \pgfmathtruncatemacro\xmin{-#1/2} + \pgfmathtruncatemacro\xmax{#1/2} + \pgfmathtruncatemacro\ymin{-#2/2} + \pgfmathtruncatemacro\ymax{#2/2} + \def\mycolor{#3} + + \begin{scope} + % Draw the border + \draw[\mycolor, line width=0.9pt,name path global=border] (\xmin,\ymin) rectangle (\xmax,\ymax); + \clip (\xmin,\ymin) rectangle (\xmax,\ymax); + + % Draw the cross + \draw[\mycolor, line width=0.9pt] (-0.15,0) -- (0.15,0); + \draw[\mycolor, line width=0.9pt] (0,-0.15) -- (0,0.15); + + % Draw the circles + \draw[\mycolor, line width=0.9pt] (0,0) circle (0.2); + + \foreach \x in {1,...,25}{ + % Main + \draw[\mycolor, line width=0.9pt] (0,0) circle (\x); + + % Subdivision + \foreach \y in {1,...,4}{ + \draw[\mycolor, line width=0.1pt] (0,0) circle (\x - \y/5); + } + } + + % Draw the radial lines + \foreach \x in {0,10,...,360}{ + % Main + \draw[\mycolor, line width=0.9pt,name path global=\x] (\x:0.2) -- (\x:25); + + % Secondary + \draw[\mycolor, line width=0.6pt] (\x + 5:1) -- (\x + 5:2); + + % Subdivision + \foreach \y in {2,4,...,8}{ + \draw[\mycolor, line width=0.1pt] (\x + \y:2) -- (\x + \y:4); + } + + % Secondary + Subdivision + \draw[\mycolor, line width=0.6pt] (\x + 5:4) -- (\x + 5:25); + \foreach \y in {1,...,9}{ + \draw[\mycolor, line width=0.1pt] (\x + \y:4) -- (\x + \y:25); + } + } + \end{scope} + + % Draw the text + \foreach \x in {0,10,...,50}{ + \draw[\mycolor, name intersections={of={\x} and border, by={first intersect}}] (first intersect) node[anchor=west] {\tiny $\x$°}; + } + \foreach \x in {60,70,...,120}{ + \draw[\mycolor, name intersections={of={\x} and border, by={first intersect}}] (first intersect) node[anchor=south] {\tiny $\x$°}; + } + \foreach \x in {130,140,...,230}{ + \draw[\mycolor, name intersections={of={\x} and border, by={first intersect}}] (first intersect) node[anchor=east] {\tiny $\x$°}; + } + \foreach \x in {240,250,...,300}{ + \draw[\mycolor, name intersections={of={\x} and border, by={first intersect}}] (first intersect) node[anchor=north] {\tiny $\x$°}; + } + \foreach \x in {310,320,...,350}{ + \draw[\mycolor, name intersections={of={\x} and border, by={first intersect}}] (first intersect) node[anchor=west] {\tiny $\x$°}; + } +} \ No newline at end of file diff --git a/lineaire.tex b/lineaire.tex new file mode 100644 index 0000000..fea61a5 --- /dev/null +++ b/lineaire.tex @@ -0,0 +1,18 @@ +\documentclass[a4paper,10pt]{article} + +\input{common.tex} + +\begin{document} + +\thispagestyle{empty} +\vspace*{\fill} +\begin{center} +\begin{tikzpicture}[x=1cm,y=1cm] + +\grid{18}{26}{gray} + +\end{tikzpicture} +\end{center} +\vspace*{\fill} + +\end{document} \ No newline at end of file diff --git a/polaire.tex b/polaire.tex new file mode 100644 index 0000000..a6c35f6 --- /dev/null +++ b/polaire.tex @@ -0,0 +1,18 @@ +\documentclass[a4paper,10pt]{article} + +\input{common.tex} + +\begin{document} + +\thispagestyle{empty} +\vspace*{\fill} +\begin{center} +\begin{tikzpicture}[x=1cm,y=1cm] + +\polar{18}{26}{gray} + +\end{tikzpicture} +\end{center} +\vspace*{\fill} + +\end{document} \ No newline at end of file diff --git a/semilog4.tex b/semilog4.tex new file mode 100644 index 0000000..a86e594 --- /dev/null +++ b/semilog4.tex @@ -0,0 +1,19 @@ +\documentclass[a4paper,10pt]{article} + +\input{common.tex} + +\begin{document} + +\thispagestyle{empty} +\vspace*{\fill} +\begin{center} +\begin{tikzpicture}[x=1cm,y=1cm] + +\vlin{18}{26}{9}{10}{gray} +\hlog{18}{26}{4}{}{2,3,4,5}{}{6,7,8,9,10}{gray} + +\end{tikzpicture} +\end{center} +\vspace*{\fill} + +\end{document} \ No newline at end of file