Initial commit

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 $\x$°};
+  }
+}

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}

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}

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}