tkz-base (24jan20)

git-svn-id: svn://tug.org/texlive/trunk@53530 c570f23f-e606-0410-a88d-b1316a301751
author: Karl Berry <karl@freefriends.org> 2020-01-24 21:42:09 +0000
committer: Karl Berry <karl@freefriends.org> 2020-01-24 21:42:09 +0000
commit: d5adeaeb325c83b945dd89cac45b12a7410fd32d (patch)
tree: 5c8d765869ef8d8b5341843be54425b273a7e36b /Master/texmf-dist/tex/latex
parent: d5e02a3c654b675d1b86fc22a822fa03d884d1e2 (diff)
19 files changed, 1685 insertions, 2753 deletions
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-base.cfg b/Master/texmf-dist/tex/latex/tkz-base/tkz-base.cfg
index 93df5aab278..743c14da90b 100644
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-base.cfg
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-base.cfg
@@ -1,131 +1,169 @@
+% tkz-base.cfg
 % Copyright 2011 by Alain Matthes
 %
 % This file may be distributed and/or modified
 %
 % 1. under the LaTeX Project Public License and/or
 % 2. under the GNU Public License.
-
-% original tkz-base.cfg 
-% 
 % If you modify this original file, YOUR CHANGES WILL BE LOST when it is
 % updated.  Instead, put your changes in the entire copy of tkz-base.cfg 
 % and save the file in a directory  part of your TEXINPUTS environment 
 % variable. 
 
-\def\fileversion{1.16 d}
-\def\filedate{2018/09/19}
-\makeatletter
-%<---------   axes cartesian system  ---------------------------------------–>  
-\global\edef\tkz@init@color{\tkz@textcolor} 
-\global\def\tkz@init@lw{0.4 pt}
-\global\def\tkz@init@tickwd{0.8 pt}
-\global\def\tkz@init@ticka{2 pt}  
-\global\def\tkz@init@tickb{2 pt}
-\global\def\tkz@init@xlabel{$x$}
-\global\def\tkz@init@ylabel{$y$}
-\global\def\tkz@init@tickb{2 pt}
-\global\def\tkz@init@rightspace{.5} 
-\global\def\tkz@init@leftspace{0}
-\global\def\tkz@init@upspace{.5} 
-\global\def\tkz@init@downspace{0}
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c tkz-base.cfg}
+%<------   colors  ---------------------------------------–> 
+\def\tkz@backgroundcolor{white}
+\def\tkz@textcolor{black}  
+%<---------------------------------------------------------
+\def\tkz@fillcolor{\tkz@backgroundcolor}    
+\def\tkz@mainlinecolor{\tkz@textcolor} 
+\def\tkz@otherlinecolor{\tkz@mainlinecolor!50} 
+%<------------------------- Cartesian system   -----------------------------–>
+% Default unity cm
+% Geometry Euclidean  with unity for x and y = 1cm ---> step = 1
+% 0 ≤ x ≤ 10
+% 0 ≤ y ≤ 10
+\def\tkz@init@xorigine{0}
+\def\tkz@init@yorigine{0}
+\def\tkz@init@xstep{1}
+\def\tkz@init@ystep{1}
+\def\tkz@init@xmin{0}
+\def\tkz@init@ymin{0}
+\def\tkz@init@xmax{10}
+\def\tkz@init@ymax{10}
+\def\tkz@init@xdec{1}
+\def\tkz@init@ydec{1}  
+%<--------------------------    points   -----------------------------------–>
+\def\tkz@euc@pointshape{circle}
+\def\tkz@euc@pointcolor{\tkz@mainlinecolor}
+\def\tkz@euc@labelcolor{\tkz@mainlinecolor} 
+\def\tkz@euc@pointsize{3 pt}
+\def\tkz@euc@pointpos{below right}
+\def\tkz@euc@segmentcolor{\tkz@mainlinecolor}
+\def\tkz@euc@circlecolor{\tkz@mainlinecolor}
+%<--------------------------   line  ---------------------------------------–>
+\def\tkz@euc@linecolor{\tkz@mainlinecolor}
+\def\tkz@euc@linewidth{0.6pt}
+\def\tkz@euc@linestyle{solid}
+\def\tkz@euc@lineleft{.2}
+\def\tkz@euc@lineright{.2}
+%<------   axes cartesian system  ---------------------------------------–>   
+\def\tkz@init@color{\tkz@textcolor}
+\def\tkz@init@lw{0.4 pt}
+\def\tkz@init@tickwd{0.8 pt}
+\def\tkz@init@ticka{2 pt}  
+\def\tkz@init@tickb{2 pt}
+\def\tkz@init@xlabel{$x$}
+\def\tkz@init@ylabel{$y$}
+\def\tkz@init@tickb{2 pt}
+\def\tkz@init@rightspace{.5} 
+\def\tkz@init@leftspace{0}
+\def\tkz@init@upspace{.5} 
+\def\tkz@init@downspace{0}
 \global\let\tkzmathstyle\displaystyle
-\global\def\tkz@legend@line@len{1cm}
-%<------------------------------  styles   ---------------------------------–>
-\tikzset{xlabel style/.style={below=3 pt,
-                              inner sep = 1pt,
-                              outer sep = 0pt}}
-\tikzset{xaxe style/.style ={>=latex,->}}
-\tikzset{ylabel style/.style={left = 3 pt,
-                              inner sep = 1pt,
-                              outer sep = 0pt}}
-\tikzset{yaxe style/.style ={>=latex,->}}    
+\def\tkz@legend@line@len{1cm}
 %<--------------------------   rep  ---------------------------------------–>
-\global\edef\tkz@sur@color{\tkz@mainlinecolor}
-\global\edef\tkz@sur@colorlabel{\tkz@mainlinecolor}
-\global\def\tkz@sur@lw{0.8 pt}
-\global\def\tkz@sur@posxlabel{below=2pt}
-\global\def\tkz@sur@posylabel{left=2pt}
-\tikzset{rep style/.style={->,>=latex}}    
+\def\tkz@sur@color{\tkz@mainlinecolor}
+\def\tkz@sur@colorlabel{\tkz@mainlinecolor}
+\def\tkz@sur@lw{0.8 pt}
+\def\tkz@sur@posxlabel{below=2pt}
+\def\tkz@sur@posylabel{left=2pt}
 %<--------------------------   grid  ---------------------------------------–>
-\global\edef\tkz@grid@color{gray}
-\global\def\tkz@grid@lw{0.4 pt}
-\global\def\tkzCoeffSubColor{50} 
-\global\def\tkzCoeffSubLw{0.8}
-\global\def\tkz@grid@xstep{0.2}
-\global\def\tkz@grid@ystep{0.2} 
-%<--------------------------   line  ---------------------------------------–>
-\global\edef\tkz@euc@linecolor{\tkz@mainlinecolor}
-\global\def\tkz@euc@linewidth{0.6pt}
-\global\def\tkz@euc@linestyle{solid}
-\global\def\tkz@euc@lineleft{.2}
-\global\def\tkz@euc@lineright{.2}
-\tikzset{line style/.style={%
-         line width = \tkz@euc@linewidth,
-         color      = \tkz@euc@linecolor,
-         style      = \tkz@euc@linestyle,
-         add        = {\tkz@euc@lineleft} and {\tkz@euc@lineright}}
-         }
-%<--------------------------    points   -----------------------------------–>
-\global\edef\tkz@euc@pointshape{circle}
-\global\edef\tkz@euc@pointcolor{\tkz@mainlinecolor}
-\global\edef\tkz@euc@labelcolor{\tkz@mainlinecolor} 
-\global\def\tkz@euc@pointsize{6}
-\global\def\tkz@euc@pointpos{below right}
-\global\edef\tkz@euc@segmentcolor{\tkz@mainlinecolor}
-\global\edef\tkz@euc@circlecolor{\tkz@mainlinecolor}
-\tikzset{point style/.style={draw         = \tkz@euc@pointcolor,
-                             inner sep    = 0pt,
-                             shape        = \tkz@euc@pointshape,
-                             minimum size = \tkz@euc@pointsize*\pgflinewidth,
-                             fill         = \tkz@euc@pointcolor!50}}  
+\def\tkz@grid@color{gray}
+\def\tkz@grid@lw{0.4 pt}
+\def\tkzCoeffSubColor{50} 
+\def\tkzCoeffSubLw{0.8}
+\def\tkz@grid@xstep{0.2}
+\def\tkz@grid@ystep{0.2} 
+\def\tkz@init@gradsize{\textstyle}
+\def\tkzRatioLineGrid{0.75} 
+\def\tkz@gd@sublw{0.4 pt}% size line sub grid
 %<-------------------------    compass   -----------------------------------–> 
-\global\edef\tkz@euc@compasscolor{\tkz@otherlinecolor}
-\global\def\tkz@euc@compasswidth{0.4pt}
-\global\def\tkz@euc@compassstyle{solid}  
-\tikzset{compass style/.style={color      = \tkz@euc@compasscolor,
-                               line width = \tkz@euc@compasswidth,
-                               style      = \tkz@euc@compassstyle}}   
+\def\tkz@euc@compasscolor{\tkz@otherlinecolor}
+\def\tkz@euc@compasswidth{0.4pt}
+\def\tkz@euc@compassstyle{solid}    
 %<----------------------------    mark   -----------------------------------–> 
-\global\edef\tkz@mk@color{\tkz@mainlinecolor}
-\global\edef\tkz@mk@mark{*}
-\global\edef\tkz@mk@size{3pt}
-\global\edef\tkz@mk@fill{\tkz@otherlinecolor} 
-\tikzset{mark style/.style={mark=\tkz@mk@mark,mark size=\tkz@mk@size,mark options={color=\tkz@mk@color,fill=\tkz@mk@fill}}}
+\def\tkz@mk@color{\tkz@mainlinecolor}
+\def\tkz@mk@mark{*}
+\def\tkz@mk@size{3pt}
+\def\tkz@mk@fill{\tkz@otherlinecolor} 
+%<--------------------------------------------------------------------------–>
+%<------------------------------  styles   ---------------------------------–>
+\tikzset{xlabel style/.style                =   {below      =   3 pt,
+                                                inner sep   =   1pt,
+                                                outer sep   =   0pt}
+                                                }                                       
+\tikzset{ylabel style/.style                =   {left       =   3 pt,
+                                                inner sep   =   1pt,
+                                                outer sep   =   0pt}}
+\tikzset{xaxe style/.style                  =   {>          =   latex,  ->}
+}  
+\tikzset{yaxe style/.style                  =   {>          =   latex,  ->}
+}    
+
+\tikzset{point style/.style = {draw         = \tkz@euc@pointcolor,
+                               inner sep    = 0pt,
+                               shape        = \tkz@euc@pointshape,
+                               minimum size = \tkz@euc@pointsize,
+                               fill         = \tkz@euc@pointcolor
+                               }
+        }  
+% label for the point 
+\tikzset{label style/.style={   \tkz@euc@pointpos,
+                                \tkz@euc@labelcolor,
+                                font = \normalsize}
+                                }
+
+\tikzset{line style/.style = {line width = \tkz@euc@linewidth,
+                              color      = \tkz@euc@linecolor,
+                              style      = \tkz@euc@linestyle,
+                              add        = {\tkz@euc@lineleft} and          {\tkz@euc@lineright}%
+                             }
+        }
+\tikzset{label seg style/.style = {color      = \tkz@mainlinecolor,
+                                   auto
+                                   }
+        }   
+        
+\tikzset{rep style/.style       = { ->,
+                                    >=latex}
+                                }                             
+\tikzset{compass style/.style         = {color         = \tkz@euc@compasscolor,
+                                         line width    = \tkz@euc@compasswidth,
+                                         style         = \tkz@euc@compassstyle}
+                                 } 
+\tikzset{mark style/.style            =  {mark         =    \tkz@mk@mark,
+                                          mark size    =    \tkz@mk@size,
+                                          mark options = {color= \tkz@mk@color,
+                                          fill         = \tkz@mk@fill
+                                                 }
+                                }
+}
 %<----------------------    show coord   -----------------------------------–> 
-\tikzset{arrow coord style/.style={dashed,
-                             \tkz@euc@linecolor,
-                             >=latex',
-                             ->}}
-\tikzset{xcoord style/.style={\tkz@euc@labelcolor,
-                           font=\normalsize,text height=1ex,
-                           inner sep = 0pt,
-                           outer sep = 0pt,
-                           fill=\tkz@fillcolor,
-                           below=3pt}} 
-\tikzset{ycoord style/.style={\tkz@euc@labelcolor,
-                           font=\normalsize,text height=1ex, 
-                           inner sep = 0pt,
-                           outer sep = 0pt, 
-                           fill=\tkz@fillcolor,
-                           left=3pt}}  
+\tikzset{arrow coord style/.style   =   {dashed,
+                                        \tkz@euc@linecolor,
+                                        >   =   latex',
+                                        ->}
+                                        }
+\tikzset{xcoord style/.style        =   {\tkz@euc@labelcolor,
+                                        font        =   \normalsize,
+                                        text height =   1ex,
+                                        inner sep   =   0pt,
+                                        outer sep   =   0pt,
+                                        fill        =   \tkz@fillcolor,
+                                        below       =   3pt}
+                                        } 
+\tikzset{ycoord style/.style        =   {\tkz@euc@labelcolor,
+                                        font        =   \normalsize,
+                                        text height =   1ex, 
+                                        inner sep   =   0pt,
+                                        outer sep   =   0pt, 
+                                        fill        =   \tkz@fillcolor,
+                                        left        =   3pt}
+                                        }  
 %<---------------------------  vector --------------------------------------–>
-\tikzset{vector style/.style={>=latex,->}}   
-
-%<------------------------- Cartesian system   -----------------------------–>
-% Default
-% Geometry Euclidean  with unity for x and y = 1cm ---> step=1
-% 0 ≤ x ≤ 10
-% 0 ≤ y ≤ 10
-\xdef\tkz@init@xorigine{0}
-\xdef\tkz@init@yorigine{0}
-\xdef\tkz@init@xstep{1}
-\xdef\tkz@init@ystep{1}
-\xdef\tkz@init@xmin{0}
-\xdef\tkz@init@ymin{0}
-\xdef\tkz@init@xmax{10}
-\xdef\tkz@init@ymax{10}
-\xdef\tkz@init@xdec{1}
-\xdef\tkz@init@ydec{1}     
-%<--------------------------------------------------------------------------–>
-\makeatother
+\tikzset{vector style/.style={>=latex,->}
+}
 \endinput
 \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-base.sty b/Master/texmf-dist/tex/latex/tkz-base/tkz-base.sty
index 217b9a127ba..8c39f0dcd7f 100644
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-base.sty
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-base.sty
@@ -1,3 +1,4 @@
+% tkz-base.sty % this file
 % Copyright 2011 by Alain Matthes
 %
 % This file may be distributed and/or modified
@@ -6,45 +7,44 @@
 % 2. under the GNU Public License. 
 % This work consists of the main source file interfaces.dtx
 % and the derived files 
-
 % tkz-base.sty % this file
-% tkz-base.cfg  
-% tkz-obj-marks.tex
-% tkz-obj-points.tex
-% tkz-obj-segments.tex
-% tkz-tools-arith.tex
-% tkz-tools-base.tex
-% tkz-tools-math.tex
-% tkz-tools-misc.tex
-% tkz-tools-obsolete.tex
-% tkz-tools-utilities.tex  
 %<--------------------------------------------------------------------------–>
 %  Objet :  Outils pour la création de graphiques géométriques
 %<--------------------------------------------------------------------------–>
+\typeout{2020/01/23 3.01c tkz-base.sty}
 \NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{tkz-base}[2018/09/19 1.16 d tkz-base]
+\ProvidesPackage{tkz-base}[2020/01/23 3.01c  tkz-base]
 \ifx\e@alloc\@undefined
   \RequirePackage{etex}
 \fi
 \RequirePackage{tikz}   
-\usetikzlibrary{calc,%
-                arrows,%
-                plotmarks,%
-                positioning,%
-                shapes.misc,%
-                decorations,%
-                decorations.markings,%
+\usetikzlibrary{%
+                angles,
+                arrows,
+                arrows.meta,
+                babel,
+                calc,
+                decorations,
+                decorations.markings,
                 decorations.pathreplacing,  
-                patterns}
+                intersections,
+                patterns,
+                plotmarks,
+                positioning,
+                quotes,
+                shapes.misc,
+                through
+                }
 %  Pour les les labels sur les axes
 \@ifpackageloaded{numprint}{}
 {\RequirePackage[autolanguage]{numprint}} %
-\RequirePackage{fp}
-% pas de messages de la part de fp !
-\FPmessagesfalse%
+\RequirePackage{xfp,fp}
+%\FPmessagesfalse  % pas de messages de la part de fp !
+%---------------------
 \newdimen\tkzRadius
 \newdimen\tkzLength
 \newdimen\tkz@radi
+%--------------------- tkz registres
 \newdimen\tkz@ax
 \newdimen\tkz@ay
 \newdimen\tkz@bx
@@ -53,145 +53,67 @@
 \newdimen\tkz@cy
 \newdimen\tkz@dx
 \newdimen\tkz@dy
-\newif\iftkz@Y@noticks
-\newif\iftkz@Y@nograd
-\newif\iftkz@Y@orig
-\newif\iftkz@Y@unit
+% 2017
+\newdimen\tkz@tax 
+\newdimen\tkz@tay
+\newdimen\tkz@tbx
+\newdimen\tkz@tby
+\newdimen\tkz@tcx
+\newdimen\tkz@tcy
+\newdimen\tkz@tdx
+\newdimen\tkz@tdy
+%--------------------- points
+\newif\iftkz@polar\tkz@polarfalse
+\newif\iftkz@pt@polar 
+\newif\iftkz@pt@show 
+\newif\iftkz@pt@noname 
+\newif\iftkz@coord@noxdraw
+\newif\iftkz@coord@noydraw
+\newif\iftkz@vec@normed
+%--------------------- lines
+\newif\iftkz@line@normed
+%--------------------- tkz axis
 \newif\iftkz@X@noticks
+\newif\iftkz@Y@noticks
 \newif\iftkz@X@nograd
+\newif\iftkz@Y@nograd
 \newif\iftkz@X@orig
+\newif\iftkz@Y@orig
 \newif\iftkz@X@unit
-\global\def\tkz@mathresult{}
-%<---------------------------  colors --------------------------------------->
-\def\tkz@backgroundcolor{white}
-\def\tkz@textcolor{black}   
-\global\edef\tkz@fillcolor{\tkz@backgroundcolor}    
-\global\edef\tkz@mainlinecolor{\tkz@textcolor} 
-\global\edef\tkz@otherlinecolor{\tkz@mainlinecolor!50}  
-\tikzset{%
-    add/.style args={#1 and #2}{
-        to path={%
- ($(\tikztostart)!-#1!(\tikztotarget)$)--($(\tikztotarget)!-#2!(\tikztostart)$)%
-  \tikztonodes}}
-} 
-%<---------   axes cartesian system  ---------------------------------------–>  
-\global\edef\tkz@init@color{\tkz@textcolor} 
-\global\def\tkz@init@lw{0.4 pt}
-\global\edef\tkz@init@gradsize{\textstyle}
-\global\def\tkz@init@xlabel{$x$}
-\global\def\tkz@init@ylabel{$y$}  
-\global\def\tkz@init@tickwd{0.8 pt}
-\global\def\tkz@init@ticka{2 pt}  
-\global\def\tkz@init@tickb{2 pt}
-\global\def\tkz@init@rightspace{.5} 
-\global\def\tkz@init@leftspace{0}
-\global\def\tkz@init@upspace{.5}
-\global\let\tkzmathstyle\displaystyle  
-\global\def\tkz@init@downspace{0}
-%<------------------------------  styles   ---------------------------------–>
-\tikzset{xlabel style/.style={below=3 pt,
-                              inner sep = 1pt,
-                              outer sep = 0pt}}
-\tikzset{xaxe style/.style ={>=latex,->}}
-\tikzset{ylabel style/.style={left = 3 pt,
-                              inner sep = 1pt,
-                              outer sep = 0pt}}
-\tikzset{yaxe style/.style ={>=latex,->}}   
-%<--------------------------   rep  ---------------------------------------–>
-\global\edef\tkz@sur@color{\tkz@mainlinecolor}
-\global\edef\tkz@sur@colorlabel{\tkz@mainlinecolor}
-\global\def\tkz@sur@lw{0.8 pt}
-\global\def\tkz@sur@posxlabel{below=2pt}
-\global\def\tkz@sur@posylabel{left=2pt}
-\tikzset{rep style/.style={->,>=latex}}    
-%<--------------------------   grid  ---------------------------------------–>
-\global\edef\tkz@grid@color{gray}
-\global\def\tkz@grid@lw{0.4 pt}
-\global\def\tkzCoeffSubColor{50} 
-\global\def\tkzCoeffSubLw{0.8}
-\global\def\tkz@grid@xstep{0.2}
-\global\def\tkz@grid@ystep{0.2}   
-%<--------------------------   line  ---------------------------------------–>
-\global\edef\tkz@euc@linecolor{\tkz@mainlinecolor}
-\global\def\tkz@euc@linewidth{0.6pt}
-\global\def\tkz@euc@linestyle{solid}
-\global\def\tkz@euc@lineleft{.2}
-\global\def\tkz@euc@lineright{.2}
-\global\def\tkz@legend@line@len{1cm}
-\tikzset{line style/.style={%
-         line width = \tkz@euc@linewidth,
-         color      = \tkz@euc@linecolor,
-         style      = \tkz@euc@linestyle,
-         add        = {\tkz@euc@lineleft} and {\tkz@euc@lineright}}
-         }
-%<--------------------------    points   -----------------------------------–>
-\global\edef\tkz@euc@pointshape{circle}
-\global\edef\tkz@euc@pointcolor{\tkz@mainlinecolor}
-\global\edef\tkz@euc@labelcolor{\tkz@mainlinecolor} 
-\global\def\tkz@euc@pointsize{6}
-\global\def\tkz@euc@pointpos{below right}
-\global\edef\tkz@euc@segmentcolor{\tkz@mainlinecolor}
-\global\edef\tkz@euc@circlecolor{\tkz@mainlinecolor}
-\tikzset{point style/.style={draw         = \tkz@euc@pointcolor,
-                             inner sep    = 0pt,
-                             shape        = \tkz@euc@pointshape,
-                             minimum size = \tkz@euc@pointsize*\pgflinewidth,
-                             fill         = \tkz@euc@pointcolor!50}}  
-%<-------------------------    compass   -----------------------------------–> 
-\global\edef\tkz@euc@compasscolor{\tkz@otherlinecolor}
-\global\def\tkz@euc@compasswidth{0.4pt}
-\global\def\tkz@euc@compassstyle{solid}  
-\tikzset{compass style/.style={color      = \tkz@euc@compasscolor,
-                               line width = \tkz@euc@compasswidth,
-                               style      = \tkz@euc@compassstyle}}   
-%<----------------------------    mark   -----------------------------------–> 
-\global\edef\tkz@mk@color{\tkz@mainlinecolor}   
-\global\edef\tkz@mk@mark{*}
-\global\edef\tkz@mk@size{3pt}
-\global\edef\tkz@mk@fill{\tkz@otherlinecolor} 
-\tikzset{mark style/.style={mark=\tkz@mk@mark,mark size=\tkz@mk@size,mark options={color=\tkz@mk@color,fill=\tkz@mk@fill}}} 
-%<----------------------    show coord   -----------------------------------–> 
-\tikzset{arrow coord style/.style={dashed,
-                             \tkz@euc@linecolor,
-                             >=latex',
-                             ->}}
-\tikzset{xcoord style/.style={\tkz@euc@labelcolor,
-                           font=\normalsize,text height=1ex,
-                           inner sep = 0pt,
-                           outer sep = 0pt,
-                           fill=\tkz@fillcolor,
-                           below=3pt}} 
-\tikzset{ycoord style/.style={\tkz@euc@labelcolor,
-                           font=\normalsize,text height=1ex, 
-                           inner sep = 0pt,
-                           outer sep = 0pt, 
-                           fill=\tkz@fillcolor,
-                           left=3pt}}  
-%<---------------------------  vector --------------------------------------–>
-\tikzset{vector style/.style={>=latex,->}}   
-%<------------------------- Cartesian system   -----------------------------–>
-% Default
-% Geometry Euclidean  with unity for x and y = 1cm ---> step=1
-% 0 ≤ x ≤ 10
-% 0 ≤ y ≤ 10
-\xdef\tkz@init@xorigine{0}
-\xdef\tkz@init@yorigine{0}
-\xdef\tkz@init@xstep{1}
-\xdef\tkz@init@ystep{1}
-\xdef\tkz@init@xmin{0}
-\xdef\tkz@init@ymin{0}
-\xdef\tkz@init@xmax{10}
-\xdef\tkz@init@ymax{10}
-\xdef\tkz@init@xdec{1}
-\xdef\tkz@init@ydec{1}     
-
-\input{tkz-tools-utilities}% obligatoire   
-\input{tkz-tools-arith}% used only for axis
-\input{tkz-tools-base}
-\input{tkz-tools-misc}
-\input{tkz-tools-math}
-\input{tkz-obj-points}
-\input{tkz-obj-segments}
-\input{tkz-obj-marks} 
+\newif\iftkz@Y@unit
+\newif\iftkz@np 
+\newif\iftkz@swap
+\newif\iftkz@init@NO
+\newif\iftkz@Rep@orig%--------------------- Rep
+\newif\iftkzLengthIncm%--------------------- Math
+\newif\iftkz@sop@show%--------------------- marks
+\newif\iftkz@equi@show
+\newif\iftkz@gd@sub% sub grid ?%--------------------- about grid
+\newif\iftkz@node\tkz@nodefalse  
+\newif\iftkz@legend@line%--------------------- legend
+\newif\iftkz@TestSubString
+\newif\ifnormtkzcode@execute% german ? right angle
+\newif\iftkz@sawp@sc%---------------------- semi circle
+\newif\ifpgf@unknown % math arith
+\newif\ifpgf@isaprime    
+\newcount\tkz@cntmk
+\newif\iftkz@RappReturn % protractor
+\newif\iftkz@RappFull
+%--------------------- Init
+\def\tkz@xgrad{1}
+\def\tkz@ygrad{1}
+\def\tkz@xa{0}
+\def\tkz@xb{10}
+\def\tkz@ya{0}
+\def\tkz@yb{10}
+%----------------------
+\def\tkz@mathresult{}
+\InputIfFileExists{tkz-base.cfg}{%
+\typeout{Local configuration file tkz-base.cfg found and used}}{%
+\typeout{tkz-base.cfg not found} }
+\input{tkz-tools-modules}
+\input{tkz-lib-marks}
+\usetkztool{base,utilities,math,text,BB,arith,print,misc}
+\usetkzobj{axes,grids,marks,points,rep}
 \endinput
 
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-lib-marks.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-lib-marks.tex
new file mode 100644
index 00000000000..0579d1ad254
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-lib-marks.tex
@@ -0,0 +1,108 @@
+% tkz-lib-marks.tex
+% Copyright 2011 by Alain Matthes
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c tkz-lib-symbols.tex}   
+\makeatletter
+%<--------------------------------------------------------------------------–>
+%  Création des symboles
+%<--------------------------------------------------------------------------–>
+\def\tkz@undefined{none}    
+% double bar
+\pgfdeclareplotmark{||}
+{%
+  \pgfpathmoveto{\pgfqpoint{2\pgflinewidth}{\pgfplotmarksize}}
+  \pgfpathlineto{\pgfqpoint{2\pgflinewidth}{-\pgfplotmarksize}}
+  \pgfpathmoveto{\pgfqpoint{-2\pgflinewidth}{\pgfplotmarksize}}
+  \pgfpathlineto{\pgfqpoint{-2\pgflinewidth}{-\pgfplotmarksize}}
+  \pgfusepathqstroke
+}
+%triple bar
+\pgfdeclareplotmark{|||}
+{%
+  \pgfpathmoveto{\pgfqpoint{0 pt}{\pgfplotmarksize}}
+  \pgfpathlineto{\pgfqpoint{0 pt}{-\pgfplotmarksize}}
+  \pgfpathmoveto{\pgfqpoint{-3\pgflinewidth}{\pgfplotmarksize}}
+  \pgfpathlineto{\pgfqpoint{-3\pgflinewidth}{-\pgfplotmarksize}}
+  \pgfpathmoveto{\pgfqpoint{3\pgflinewidth}{\pgfplotmarksize}}
+  \pgfpathlineto{\pgfqpoint{3\pgflinewidth}{-\pgfplotmarksize}}
+  \pgfusepathqstroke
+} 
+% An bar slant
+
+\pgfdeclareplotmark{s|}
+{%
+  \pgfpathmoveto{\pgfqpoint{-.70710678\pgfplotmarksize}%
+                           {-.70710678\pgfplotmarksize}}
+  \pgfpathlineto{\pgfqpoint{.70710678\pgfplotmarksize}%
+                           {.70710678\pgfplotmarksize}}
+  \pgfusepathqstroke
+} 
+
+% An double bar slant
+
+\pgfdeclareplotmark{s||}
+{%
+ \pgfpathmoveto{\pgfqpoint{-0.75\pgfplotmarksize}{-\pgfplotmarksize}}
+ \pgfpathlineto{\pgfqpoint{0.25\pgfplotmarksize}{\pgfplotmarksize}} 
+ \pgfpathmoveto{\pgfqpoint{0\pgfplotmarksize}{-\pgfplotmarksize}}
+ \pgfpathlineto{\pgfqpoint{1\pgfplotmarksize}{\pgfplotmarksize}} 
+ \pgfusepathqstroke
+}   
+
+% z
+\pgfdeclareplotmark{z}
+{%
+  \pgfpathmoveto{\pgfqpoint{0.75\pgfplotmarksize}{-\pgfplotmarksize}} 
+  \pgfpathlineto{\pgfqpoint{-0.75\pgfplotmarksize}{-\pgfplotmarksize}}
+  \pgfpathlineto{\pgfqpoint{0.75\pgfplotmarksize}{\pgfplotmarksize}}
+  \pgfpathlineto{\pgfqpoint{-0.75\pgfplotmarksize}{\pgfplotmarksize}}
+  \pgfusepathqstroke
+}
+% s
+\pgfdeclareplotmark{s}
+{%
+   \pgfpathmoveto{\pgfqpoint{0pt}{0pt}} 
+   \pgfpathcurveto
+       {\pgfpoint{0pt}{0pt}}
+       {\pgfpoint{-\pgfplotmarksize}{\pgfplotmarksize}}
+       {\pgfpoint{\pgfplotmarksize}{\pgfplotmarksize}}
+   \pgfpathmoveto{\pgfqpoint{0pt}{0pt}} 
+    \pgfpathcurveto
+       {\pgfpoint{0pt}{0pt}}
+       {\pgfpoint{\pgfplotmarksize}{-\pgfplotmarksize}}
+       {\pgfpoint{-\pgfplotmarksize}{-\pgfplotmarksize}} 
+    \pgfusepathqstroke
+}  
+% infinity
+\pgfdeclareplotmark{oo}
+{%
+   \pgfpathmoveto{\pgfqpoint{0pt}{0pt}} 
+   \pgfpathcurveto
+       {\pgfpoint{0pt}{0pt}}
+       {\pgfpoint{.5\pgfplotmarksize}{1\pgfplotmarksize}}
+       {\pgfpoint{\pgfplotmarksize}{0pt}}
+   \pgfpathmoveto{\pgfqpoint{0pt}{0pt}} 
+    \pgfpathcurveto
+       {\pgfpoint{0pt}{0pt}}
+       {\pgfpoint{-.5\pgfplotmarksize}{1\pgfplotmarksize}}
+       {\pgfpoint{-\pgfplotmarksize}{0pt}}  
+   \pgfpathmoveto{\pgfqpoint{0pt}{0pt}}  
+      \pgfpathcurveto
+       {\pgfpoint{0pt}{0pt}}
+       {\pgfpoint{.5\pgfplotmarksize}{-1\pgfplotmarksize}}
+       {\pgfpoint{\pgfplotmarksize}{0pt}}
+   \pgfpathmoveto{\pgfqpoint{0pt}{0pt}} 
+    \pgfpathcurveto
+       {\pgfpoint{0pt}{0pt}}
+       {\pgfpoint{-.5\pgfplotmarksize}{-1\pgfplotmarksize}}
+       {\pgfpoint{-\pgfplotmarksize}{0pt}}      
+    \pgfusepathqstroke
+} 
+\makeatother
+\endinput
+\ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-axes.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-axes.tex
new file mode 100644
index 00000000000..ce1ce98fdcb
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-axes.tex
@@ -0,0 +1,462 @@
+% tkz-obj-axes.tex    
+% Copyright 2011 by Alain Matthes
+% This file may be distributed and/or modified
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%  utf8 encoding
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23}
+\typeout{2020/01/23 3.01c  tkz-obj-axes.tex}   
+ \newif\ifinteger
+ \makeatletter
+\def\removedot#1.{#1}
+\newcommand\tkzgetinteger[1]{\expandafter\tkz@getinteger#1.\@nil}
+\def\tkz@getinteger#1.#2\@nil{%
+  \ifx\empty#2\empty
+    \integertrue
+	\else
+	\ifnum\removedot#2=0   
+		\integertrue
+	 \else 
+	   \integerfalse
+	 \fi
+  \fi
+}
+%<--------------------------------------------------------------------------–> 
+% some tools
+%<--------------------------------------------------------------------------–> 
+\def\tkz@showgrad#1{%
+\tkzgetinteger{#1}
+\ifinteger\edef\tkz@result{\fpeval{trunc(#1,0)}}\else\edef\tkz@result{#1}\fi}%
+
+\def\tkz@Xresult{%
+\tkz@showgrad{\tkz@xgrad}%
+ $\numprint{\tkz@result}$%
+}%
+%<--------------------------------------------------------------------------–>
+\def\tkz@Yresult{%
+\tkz@showgrad{\tkz@ygrad}%
+$\numprint{\tkz@result}$
+}% 
+%<--------------------------------------------------------------------------–>
+%<--------------------------------------------------------------------------–>
+\def\tkz@Xshowgradresult#1{% 
+\iftkz@X@orig%
+  \tkz@Xresult% 
+\else% orig 
+   \iftkz@init@NO% 
+      \unless\ifx#1\tkz@posmin%
+      \tkz@Xresult\fi
+   \else% NO  
+     \unless\ifx#1\x@tkzero%
+     \tkz@Xresult%
+     \fi%end of x@tkzero
+   \fi%end of NO
+\fi%end of orig
+}%
+%<--------------------------------------------------------------------------–>
+\def\tkz@Yshowgradresult#1{% 
+\iftkz@Y@orig%
+  \tkz@Yresult%
+\else % orig 
+\iftkz@init@NO%
+   \unless\ifx#1\tkz@posmin%
+   \tkz@Yresult\fi
+ \else% NO
+   \unless\ifx#1\y@tkzero%
+   \tkz@Yresult%
+  \fi%end of x@tkzero
+ \fi%end of NO
+\fi%end of orig
+}%
+%<--------------------------------------------------------------------------–>
+%<--------------------------------------------------------------------------–>
+\def\tkz@Xshowgrad#1{% 
+\iftkz@X@orig%
+  \tkzprintfrac% 
+\else% orig 
+  \iftkz@init@NO% 
+     \unless\ifx#1\tkz@posmin%
+     \tkzprintfrac\fi%
+  \else% NO  
+    \unless\ifx#1\x@tkzero%
+    \tkzprintfrac%
+    \fi%end of x@tkzero
+ \fi%end of NO
+\fi%end of orig
+}%
+%<--------------------------------------------------------------------------–>
+\def\tkz@Yshowgrad#1{% 
+\iftkz@Y@orig%
+\tkzprintfrac%
+\else% orig 
+     \iftkz@init@NO%
+        \unless\ifx\tkz@pos\tkz@posmin%
+        \tkzprintfrac\fi%
+      \else % NO
+        \unless\ifx\tkz@pos\y@tkzero%
+        \tkzprintfrac%
+       \fi%end of x@tkzero
+    \fi%end of NO
+\fi%end of orig
+}%
+
+%<--------------------------------------------------------------------------–>
+%              Setup   axe
+%<--------------------------------------------------------------------------–>
+\pgfkeys{tkzaxis/.cd,
+      line width/.code         = \xdef\tkz@sua@lw{#1},
+      color/.code              = \xdef\tkz@sua@color{#1},
+      tickwd/.code             = \xdef\tkz@sua@tickwd{#1},
+      ticka/.code              = \xdef\tkz@sua@ticka{#1},
+      tickb/.code              = \xdef\tkz@sua@tickb{#1},
+      line width            = \tkz@init@lw,
+      color                 = \tkz@init@color,
+      tickwd                = \tkz@init@tickwd,
+      ticka                 = \tkz@init@ticka,
+      tickb                 = \tkz@init@tickb
+} 
+
+\def\tkzSetUpAxis{\pgfutil@ifnextchar[{\tkz@SetUpAxis}{\tkz@SetUpAxis[]}} 
+\def\tkz@SetUpAxis[#1]{%
+\begingroup
+\pgfqkeys{/tkzaxis}{#1}
+\global\let\tkz@init@lw\tkz@sua@lw
+\global\let\tkz@init@gradsize\tkz@sua@gradsize 
+\global\let\tkz@init@color\tkz@sua@color 
+\global\let\tkz@init@tickwd\tkz@sua@tickwd 
+\global\let\tkz@init@ticka\tkz@sua@ticka 
+\global\let\tkz@init@tickb\tkz@sua@tickb  
+\endgroup
+}
+%<--------------------------------------------------------------------------–>
+%                 tkzDrawX      todo améliorer les unités
+% sans doute à revoir loop from 0 to i then calcul dans la boucle de la position
+% et de l'affichage
+%<--------------------------------------------------------------------------–>
+\pgfkeys{%
+  /tkzdrawX/.cd,
+  color/.store in            = \tkz@X@color,
+  label/.store in            = \tkz@X@label,
+  right space/.store in      = \tkz@axe@rxspace,
+  left space/.store in       = \tkz@axe@lxspace,
+  trig/.store in             = \tkz@X@trig,
+  step/.code                 = {\edef\tkz@posnext{\fpeval{#1}}},
+  color                      = \tkz@init@color,
+  label                      = \tkz@init@xlabel,
+  trig                       = 0,
+  step                       = \tkz@init@xstep,
+  right space                = \tkz@init@rightspace, %???
+  left space                 = \tkz@init@leftspace,
+  noticks/.is if             = tkz@X@noticks,
+  noticks/.default           = true,
+  noticks                    = false,
+  tickwd/.store in           = \tkz@X@tickwd,
+  tickup/.store in           = \tkz@X@tickup,
+  tickdn/.store in           = \tkz@X@tickdn,
+  tickwd                     = \tkz@init@tickwd,
+  tickup                     = \tkz@init@ticka,
+  tickdn                     = \tkz@init@tickb,
+   /tkzdrawX/.search also={/tikz}, 
+  }
+
+\def\tkzDrawX{\pgfutil@ifnextchar[{\tkz@DrawX}{\tkz@DrawX[]}}
+\def\tkz@DrawX[#1]{
+\begingroup%
+\pgfqkeys{/tkzdrawX}{#1}
+\edef\tkz@posmax{\fpeval{trunc(\tkz@xb,\tkz@init@xdec)}}
+\edef\tkz@posmin{\fpeval{trunc(\tkz@xa,\tkz@init@xdec)}}
+\edef\tkz@xbsup{\fpeval{\tkz@xb+\tkz@axe@rxspace}}
+\edef\tkz@xainf{\fpeval{\tkz@xa-\tkz@axe@lxspace}}
+\path (\tkz@xainf,0)--(\tkz@xbsup,0) node(tkz@xline){};
+\draw[xaxe style,
+      color = \tkz@X@color, 
+      /tkzdrawX/.cd, #1] (\tkz@xainf,0)--(\tkz@xbsup,0)
+                        node[ xlabel style, 
+                           /tkzdrawX/.cd, 
+                          #1]{\tkz@X@label};
+ \iftkz@X@noticks
+ \else
+  \ifnum\tkz@X@trig=0
+  \edef\tkz@posmax{\fpeval{trunc(\tkz@posmax,\tkz@init@xdec)}}   
+  \edef\tkz@posnext{\fpeval{\tkz@posnext/\tkz@init@xstep+\tkz@posmin}}
+     \foreach \pos in {\tkz@posmin,...,\tkz@posmax}{%
+         \edef\tkz@pos{\fpeval{\pos*1}}% ???
+         \draw[ color         = \tkz@X@color, line width    = \tkz@X@tickwd,
+                shift         = {(\tkz@pos,0)}]%
+                (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn);
+           }
+    \else
+      \edef\tkz@posmin{\fpeval{round(((\tkz@posmin+.5)/pi)*\tkz@X@trig,0)}}
+      \edef\tkz@posmax{\fpeval{round(((\tkz@posmax)/pi)*\tkz@X@trig,0)}}
+       \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{%
+           \edef\tkz@pospi{\fpeval{(\tkz@pos*pi)/\tkz@X@trig}}
+           \draw[color = \tkz@X@color,
+                 line width = \tkz@X@tickwd,%
+                 shift      = {(\tkz@pospi,0)}]%
+           (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn);
+         }% end foreach
+         \fi
+ \fi
+\endgroup
+}
+%<--------------------------------------------------------------------------–>
+%                 tkzDrawY      todo améliorer les unités
+%<--------------------------------------------------------------------------–>
+\pgfkeys{%
+  /tkzdrawY/.cd,
+  color/.store in            = \tkz@Y@color,
+  label/.store in            = \tkz@Y@label, 
+  up space/.store in         = \tkz@axe@uyspace, 
+  down space/.store in       = \tkz@axe@dyspace,
+  trig/.store in             = \tkz@Y@trig,      
+  step/.code                 = {\edef\tkz@posnext{\fpeval{#1}}},  
+  color                      = \tkz@init@color,
+  label                      = \tkz@init@ylabel,
+  trig                       = 0,
+  step                       = \tkz@init@ystep,
+  up space                   = \tkz@init@upspace,
+  down space                 = \tkz@init@downspace,
+  noticks/.is if             = tkz@Y@noticks,
+  noticks/.default           = true,
+  noticks                    = false,
+  tickwd/.store in           = \tkz@Y@tickwd,
+  ticklt/.store in           = \tkz@Y@ticklt,
+  tickrt/.store in           = \tkz@Y@tickrt,
+  tickwd                     = \tkz@init@tickwd,
+  ticklt                     = \tkz@init@tickb,
+  tickrt                     = \tkz@init@ticka,
+   /tkzdrawY/.search also={/tikz},    
+        }
+                                     
+\def\tkzDrawY{\pgfutil@ifnextchar[{\tkz@DrawY}{\tkz@DrawY[]}}
+\def\tkz@DrawY[#1]{%
+\begingroup
+\pgfkeys{/tkzdrawY/.cd,step = \tkz@init@ystep}
+\pgfqkeys{/tkzdrawY}{#1}
+\edef\tkz@posmax{\fpeval{trunc(\tkz@yb,\tkz@init@ydec)}}
+\edef\tkz@posmin{\fpeval{trunc(\tkz@ya,\tkz@init@ydec)}}
+\edef\tkz@ybsup{\fpeval{\tkz@yb+\tkz@axe@uyspace}}
+\edef\tkz@yainf{\fpeval{\tkz@ya-\tkz@axe@dyspace}}
+\path (0,\tkz@yainf)--(0,\tkz@ybsup) node(tkz@yline){};
+\draw[color = \tkz@Y@color,
+      yaxe style,/tkzdrawY/.cd,#1] (0,\tkz@yainf)--(0,\tkz@ybsup)
+      node[ylabel style,/tkzdrawY/.cd,#1]{\tkz@Y@label};
+ \iftkz@Y@noticks
+ \else 
+   \ifnum\tkz@Y@trig=0 
+    \edef\tkz@posmax{\fpeval{trunc(\tkz@posmax,\tkz@init@ydec)}}    
+    \edef\tkz@posnext{\fpeval{\tkz@posnext/\tkz@init@ystep+\tkz@posmin}}
+   \foreach \tkz@pos in {\tkz@posmin,\tkz@posnext,...,\tkz@posmax}{% 
+     \draw[color = \tkz@Y@color,
+           line width = \tkz@Y@tickwd,
+           shift       = {(0,\tkz@pos)}]% 
+            (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt);}
+    \else
+       \edef\tkz@posmin{\fpeval{round(((\tkz@posmin+.5)/pi)*\tkz@Y@trig,0)}}
+       \edef\tkz@posmax{\fpeval{round(((\tkz@posmax)/pi)*\tkz@Y@trig,0)}}
+       \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{% 
+           \edef\tkz@pospi{\fpeval{(\tkz@pos*pi)/\tkz@Y@trig}}
+           \draw[color = \tkz@Y@color,
+                line width = \tkz@Y@tickwd,%
+                          shift      = {(0,\tkz@pospi)}]%
+           (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt);
+         }% end foreach
+     \fi     
+ \fi        
+\endgroup}
+%<--------------------------------------------------------------------------->
+%     tkzLabelX
+%<--------------------------------------------------------------------------->
+\pgfkeys{/tkzlabelX/.cd,
+      frac/.store in       = \tkz@X@frac,
+      trig/.store in       = \tkz@X@trig,  
+      step/.store in       = \tkz@posnext,
+      tickwd/.store in     = \tkz@X@tickwd,
+      tickup/.store in     = \tkz@X@tickup,
+      tickdn/.store in     = \tkz@X@tickdn,  
+      np off/.is if        = tkz@np,
+      np off/.default      = true,
+      np off               = false,
+      orig/.is if          = tkz@X@orig,
+      orig/.default        = false, 
+      orig                 = true,
+      frac                 = 0,
+      trig                 = 0,
+      step                 = \tkz@init@xstep,
+      tickwd               = \tkz@init@tickwd,
+      tickup               = \tkz@init@ticka,
+      tickdn               = \tkz@init@tickb,
+   /tkzlabelX/.search also={/tikz}, 
+      }  
+\def\tkzLabelX{\pgfutil@ifnextchar[{\tkz@LabelX}{\tkz@LabelX[]}}
+\def\tkz@LabelX[#1]{% 
+\begingroup 
+\pgfkeys{/tkzlabelX/.cd,step  = \tkz@init@xstep}
+\pgfqkeys{/tkzlabelX}{#1}
+\iftkz@np\let\numprint@saved\numprint %
+\let\numprint\relax\fi % 
+   
+\edef\tkz@posmin{\fpeval{trunc(\tkz@xa,\tkz@init@xdec)}}
+\edef\tkz@posmax{\fpeval{trunc(\tkz@xb,\tkz@init@xdec)}}
+\edef\x@tkzero{\fpeval{trunc(0.0000000,\tkz@init@xdec)}}
+
+\ifnum\tkz@X@frac=0 %
+  \ifnum\tkz@X@trig=0 % affichage normal
+  \edef\tkz@posnext{\fpeval{\tkz@posnext/\tkz@init@xstep+\tkz@posmin}}        
+   \foreach \tkz@pos in {\tkz@posmin,\tkz@posnext,...,\tkz@posmax}{%
+     \edef\tkz@pos{\fpeval{trunc(\tkz@pos,\tkz@init@xdec)}}   
+     \edef\tkz@xgrad{\fpeval{\tkz@pos*\tkz@init@xstep+\tkz@init@xorigine}}
+     \edef\tkz@xgrad{\fpeval{trunc(\tkz@xgrad,\tkz@init@xdec)}}   
+     \path[shift = {(\tkz@pos,0)}] (0pt,\tkz@X@tickup) -- (0pt,-\tkz@X@tickdn)%
+               node[ xlabel style,%
+                        fill = \tkz@fillcolor,
+                        /tkzlabelX/.cd,#1]{\tkz@Xshowgradresult{\tkz@pos}}; 
+}% 
+  \else% trig > 0 
+  \edef\tkz@posmin{\fpeval{round(((\tkz@posmin+.5)/pi)*\tkz@X@trig,0)}}
+  \edef\tkz@posmax{\fpeval{(\tkz@posmax/pi)*\tkz@X@trig}}
+     \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{% 
+        \tkzPrintFracWithPi{\tkz@pos}{\tkz@X@trig}
+        \edef\tkz@pospi{\fpeval{(\tkz@pos*pi)/\tkz@X@trig}}
+      \path[shift      = {(\tkz@pospi,0)}]%
+        (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn)%
+           node[xlabel style,
+                text height = 8pt,
+                fill        = \tkz@fillcolor,
+                  /tkzlabelX/.cd,#1]{\tkz@Xshowgrad{\tkz@pos}};% 
+      }% end foreach   
+    \fi
+\else% frac > 0  
+   \edef\tkz@posmin{\fpeval{round(\tkz@posmin,0)}}
+   \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{%
+      \tkzPrintFrac{\tkz@pos}{\tkz@X@frac}% 
+       \path[shift = {(\tkz@pos,0)}]%
+          (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn)%
+          node[xlabel style,text height = 8pt,fill = \tkz@fillcolor,
+                /tkzlabelX/.cd,#1]{\tkz@Xshowgrad{\tkz@pos}}%
+   ;%    
+  }% end foreach  
+\fi
+ \iftkz@np\let\numprint\numprint@saved \fi%      
+\endgroup
+} 
+%<--------------------------------------------------------------------------->
+%          tkzLabelY
+%<--------------------------------------------------------------------------->
+\pgfkeys{/tkzlabelY/.cd,
+      frac/.store in                = \tkz@Y@frac,
+      trig/.store in                = \tkz@Y@trig,  
+      step/.store in                = \tkz@posnext,
+      tickwd/.store in              = \tkz@Y@tickwd,
+      ticklt/.store in              = \tkz@Y@ticklt,
+      tickrt/.store in              = \tkz@Y@tickrt,
+      np off/.is if                 = tkz@np,
+      np off/.default               = true,
+      np off                        = false,  
+      orig/.is if                   = tkz@Y@orig,
+      orig/.default                 = false,
+      orig                          = true,  
+      frac                          = 0,
+      trig                          = 0,
+      step                          = \tkz@init@ystep,
+      tickwd                        = \tkz@init@tickwd,
+      ticklt                        = \tkz@init@tickb,
+      tickrt                        = \tkz@init@ticka,     
+       /tkzlabelY/.search also={/tikz} 
+      }  
+                               \def\tkzLabelY{\pgfutil@ifnextchar[{\tkz@LabelY}{\tkz@LabelY[]}}
+\def\tkz@LabelY[#1]{%
+\begingroup
+\pgfkeys{/tkzlabelY/.cd,step = \tkz@init@ystep}
+\pgfqkeys{/tkzlabelY}{#1}
+\iftkz@np\let\numprint@saved\numprint %
+\let\numprint\relax\fi % 
+\edef\tkz@posmin{\fpeval{trunc(\tkz@ya,\tkz@init@ydec)}}
+\edef\tkz@posmax{\fpeval{trunc(\tkz@yb,\tkz@init@ydec)}}
+\edef\y@tkzero{\fpeval{trunc(0.0000000,\tkz@init@ydec)}}
+
+\ifnum\tkz@Y@frac=0
+  \ifnum\tkz@Y@trig=0 % affichage normal 
+  \edef\tkz@posnext{\fpeval{\tkz@posnext/\tkz@init@ystep+\tkz@posmin}}      
+   \foreach \tkz@pos in {\tkz@posmin,\tkz@posnext,...,\tkz@posmax}{%
+     \edef\tkz@pos{\fpeval{trunc(\tkz@pos,\tkz@init@ydec)}}   
+     \edef\tkz@ygrad{\fpeval{\tkz@pos*\tkz@init@ystep+\tkz@init@yorigine}}
+     \edef\tkz@ygrad{\fpeval{trunc(\tkz@ygrad,\tkz@init@ydec)}}   
+     \path[shift = {(0,\tkz@pos)}]%
+        (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt)%
+        node[ylabel style, 
+             fill  = \tkz@fillcolor,
+             /tkzlabelY/.cd,#1]{\tkz@Yshowgradresult{\tkz@pos}};
+}
+  \else% trig > 0  
+     \edef\tkz@posmin{\fpeval{round(((\tkz@posmin+.5)/pi)*\tkz@Y@trig,0)}}
+     \edef\tkz@posmax{\fpeval{(\tkz@posmax/pi)*\tkz@Y@trig}}
+     \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{% 
+        \tkzPrintFracWithPi{\tkz@pos}{\tkz@Y@trig}
+        \edef\tkz@pospi{\fpeval{(\tkz@pos*pi)/\tkz@Y@trig}}
+        \path[shift  = {(0,\tkz@pospi)}]%
+             (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt)%
+             node[ylabel style,text height  = 8pt,fill = \tkz@fillcolor,
+                  /tkzlabelY/.cd,#1]{\tkz@Yshowgrad{\tkz@pos}};% 
+      }% end foreach   
+    \fi    
+\else% frac > 0  
+\edef\tkz@posmin{\fpeval{round(\tkz@posmin,0)}}
+  \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{%
+    \tkzPrintFrac{\tkz@pos}{\tkz@Y@frac}% 
+        \path[shift      = {(0,\tkz@pos)}]%
+          (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt)%
+          node[ylabel style,
+               text height   = 8pt,
+               fill          = \tkz@fillcolor,
+               /tkzlabelY/.cd,#1]{\tkz@Yshowgrad{\tkz@pos}}%
+   ;% 
+  }% end foreach
+\fi
+ \iftkz@np\let\numprint\numprint@saved \fi%      
+\endgroup
+} 
+%<-------------------------------------------------------------------------->
+%<--------------------------------------------------------------------------–>
+%                 tkzAxeX     Draw + Label
+%<--------------------------------------------------------------------------–>  
+\def\tkzAxeX{\pgfutil@ifnextchar[{\tkz@AxeX}{\tkz@AxeX[]}}
+\def\tkz@AxeX[#1]{%
+\begingroup  
+    \tkzLabelX[#1]
+    \tkzDrawX[#1]
+\endgroup
+}
+%<--------------------------------------------------------------------------–>
+\def\tkzAxeY{\pgfutil@ifnextchar[{\tkz@AxeY}{\tkz@AxeY[]}}
+\def\tkz@AxeY[#1]{%
+\begingroup
+   \tkzDrawY[#1] 
+   \tkzLabelY[#1]   
+\endgroup}
+%<-------------------------------------------------------------------------->
+\pgfkeys{/tkzAxeXY/.cd,
+         swap/.is if     = tkz@swap,
+         swap/.default   = true,
+         swap           = false,
+       /tkzAxeXY/.search also={/tikz},
+       /tkzAxeXY/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
+                                       \pgfkeysalso{\searchname/.try=#1}} 
+                              }  
+  
+\def\tkzAxeXY{\pgfutil@ifnextchar[{\tkzAxe@XY}{\tkzAxe@XY[]}}  
+\def\tkzAxe@XY[#1]{%
+\pgfqkeys{/tkzAxeXY}{#1}   
+\iftkz@swap
+\tkzLabelX[#1]\tkzLabelY[#1]\tkzDrawX[#1]\tkzDrawY[#1]
+\else
+\tkzDrawX[#1]\tkzDrawY[#1]\tkzLabelX[#1]\tkzLabelY[#1]
+\fi}
+\def\tkzDrawXY{\pgfutil@ifnextchar[{\tkzDraw@XY}{\tkzDraw@XY[]}} 
+\def\tkzDraw@XY[#1]{\tkzDrawX[#1]\tkzDrawY[#1]} 
+\def\tkzLabelXY{\pgfutil@ifnextchar[{\tkzLabel@XY}{\tkzLabel@XY[]}}
+\def\tkzLabel@XY[#1]{\tkzLabelX[#1]\tkzLabelY[#1]}  
+ %<--------------------------------------------------------------------------–>
+\makeatother
+\endinput
+\ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-grids.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-grids.tex
new file mode 100644
index 00000000000..f2bd6a5ffcd
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-grids.tex
@@ -0,0 +1,78 @@
+% tkz-obj-grids.tex    
+% Copyright 2011 by Alain Matthes
+% This file may be distributed and/or modified
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%  utf8 encoding
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23}
+\typeout{2020/01/23 3.01c  tkz-obj-grids.tex}   
+\makeatletter
+%<--------------------------------------------------------------------------–>
+%              Setup   Grid
+%<--------------------------------------------------------------------------–>
+\pgfkeys{/@tkzsugrid/.cd,
+		line width/.store in         	= \tkz@sug@lw,
+		color/.store in              	= \tkz@sug@color,
+	   	line width  					= \tkz@grid@lw,
+	   	color       					= \tkz@grid@color
+        } 
+
+\def\tkzSetUpGrid{\pgfutil@ifnextchar[{\tkz@SetUpGrid}{\tkz@SetUpGrid[]}} 
+\def\tkz@SetUpGrid[#1]{%
+\begingroup
+\pgfqkeys{/@tkzsugrid}{#1}
+\global\let\tkz@grid@lw\tkz@sug@lw
+\global\let\tkz@grid@color\tkz@sug@color 
+\endgroup
+}
+%<--------------------------------------------------------------------------–>
+%         tkzGrid  
+%<--------------------------------------------------------------------------–>
+\pgfkeys{/@tkzGrid/.cd,
+ 	color/.code          	= {\def\tkz@gd@color{#1}%
+ 	                          \edef\tkz@gd@subcolor{%
+ 	                               \tkz@gd@color!\tkzCoeffSubColor}},
+ 	subxstep/.store in   	= {\tkz@gd@subxstep},
+ 	subystep/.store in   	= {\tkz@gd@subystep},
+ 	ratio/.store in      	= {\tkz@gd@ratio},
+ 	line width/.code     	= {\edef\tkz@gd@lw{#1}
+ 	                          \edef\tkz@gd@sublw{\tkz@gd@ratio\tkz@gd@lw}},
+ 	sub/.is if           	= tkz@gd@sub,
+ 	sub/.default         	= true ,
+	sub        				= false,
+	color      				= \tkz@grid@color,
+	ratio    					= 0.75, 
+	subxstep   				= \tkz@grid@xstep,
+	subystep   				= \tkz@grid@ystep,
+	line width 				= \tkz@grid@lw,
+  /@tkzGrid/.search also      = {/tikz},
+} 
+%<--------------------------------------------------------------------------–>
+\def\tkzGrid{\pgfutil@ifnextchar[{\tkz@Grid}{\tkz@Grid[]}}
+\def\tkz@Grid[#1]{\@ifnextchar({\tkz@@Grid[#1]}%
+                               {\tkz@@Grid[#1](\tkz@tmp@xa,\tkz@tmp@ya)(\tkz@tmp@xb,\tkz@tmp@yb)}}
+\def\tkz@@Grid[#1](#2,#3)(#4,#5){%
+  \pgfqkeys{/@tkzGrid}{#1}   
+    \begingroup
+	 \edef\tkz@gxa{\fpeval{(#2-\tkz@init@xorigine)/\tkz@init@xstep}}
+	 \edef\tkz@gxb{\fpeval{(#4-\tkz@init@xorigine)/\tkz@init@xstep}}
+	 \edef\tkz@gya{\fpeval{(#3-\tkz@init@yorigine)/\tkz@init@ystep}}
+	 \edef\tkz@gyb{\fpeval{(#5-\tkz@init@yorigine)/\tkz@init@ystep}}
+    \iftkz@gd@sub% 
+      \edef\@subxstep{\fpeval{\tkz@gd@subxstep/\tkz@init@xstep}}%
+      \edef\@subystep{\fpeval{\tkz@gd@subystep/\tkz@init@ystep}}%
+      \draw [xstep      = \@subxstep cm,%
+             ystep      = \@subystep cm,%
+             color      = \tkz@gd@subcolor,%
+             line width = \tkzRatioLineGrid]%
+             (\tkz@gxa,\tkz@gya) grid (\tkz@gxb,\tkz@gyb);%
+    \fi
+    \draw [color      = \tkz@gd@color,%
+           line width = \tkz@gd@lw]%
+           (\tkz@gxa,\tkz@gya) grid (\tkz@gxb,\tkz@gyb);%
+    \endgroup
+}%
+ %<--------------------------------------------------------------------------–>
+\makeatother
+\endinput
+\ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-marks.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-marks.tex
index d4efff422ab..3eec108b22c 100644
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-marks.tex
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-marks.tex
@@ -1,27 +1,24 @@
+%tkz-obj-marks.tex
 % Copyright 2011 by Alain Matthes
 %
 % This file may be distributed and/or modified
 %
 % 1. under the LaTeX Project Public License and/or
 % 2. under the GNU Public License.
-
-
-\def\fileversion{1.16 d}
-\def\filedate{2018/09/19}
-
-
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c  tkz-obj-marks.tex}
+\makeatletter
 %<-------------------------------------------------------------------------–>
 %                               Setup   Marks
 %<-------------------------------------------------------------------------–>
 %<--------------------------------------------------------------------------–>
 %                              DefSetOfPoints
 %<--------------------------------------------------------------------------–>
-\newif\iftkz@sop@show
-\newcount\tkz@cntmk
-\pgfkeys{
-  /tkzSoPt/.cd,
-  prefix/.code              = {\global\edef\tkz@pref{#1}},
-  /tkzSoPt/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
+\pgfkeys{/tkzSoPt/.cd,
+  prefix/.store in            =    \tkz@pref,
+  prefix                  =  tkzPt,
+  /tkzSoPt/.unknown/.code    = {\let\searchname=\pgfkeyscurrentname
                               \pgfkeysalso{\searchname/.try=#1,
                                /tikz/\searchname/.retry=#1}}  
 }   
@@ -29,9 +26,6 @@
                                          \tkz@SetOfPoints[]}}
 \def\tkz@SetOfPoints[#1]#2{%
 \begingroup 
-\pgfkeys{%
-/tkzSoPt/.cd,
-prefix=tkzPt}
 \pgfqkeys{/tkzSoPt}{#1} 
     \tkz@cntmk1 %
     \edef\tkz@@cnt{\the\tkz@cntmk}
@@ -39,53 +33,45 @@ prefix=tkzPt}
          \tkz@cntmk=\tkz@@cnt %
          \tkzDefPoint(\x,\y){\tkz@pref\the\tkz@cntmk}
          \advance\tkz@cntmk by1 % 
-         \global\edef\tkz@@cnt{\the\tkz@cntmk}
+         \xdef\tkz@@cnt{\the\tkz@cntmk}
     }%
-\endgroup}%
+\endgroup
+}%
 %<-------------------------------------------------------------------------–> 
-\pgfkeys{
-  /tkzjoinmk/.cd,
-  prefix/.code              = {\global\edef\tkz@pref{#1}},
-  /tkzjoinmk/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                              \pgfkeysalso{\searchname/.try=#1,
-                               /tikz/\searchname/.retry=#1}}  
+\pgfkeys{/tkzjoinmk/.cd,
+      prefix/.store in              = \tkz@pref,
+      prefix=tkzPt,
+   /tkzjoinmk/.search also={/tikz} 
 }  
 \def\tkzJoinSetOfPoints{\pgfutil@ifnextchar[{\tkz@JoinSetOfPoints}{%
                                              \tkz@JoinSetOfPoints[]}} 
 \def\tkz@JoinSetOfPoints[#1]{%
 \begingroup
-\pgfkeys{%
-/tkzjoinmk/.cd,
-prefix=tkzPt}
-\pgfqkeys{/tkzjoinmk}{#1}  
-\pgfmathsetcount{\tkz@cntmk}{\tkz@@cnt-2}
-\edef\tkz@@cnt{\the\tkz@cntmk} 
-\foreach \nb in {1,...,\tkz@@cnt}{%
-\tkz@cntmk=\nb
-\advance\tkz@cntmk by1 
-\draw[line cap=round,/tkzjoinmk/.cd,#1] (\tkz@pref\nb)--(\tkz@pref\the\tkz@cntmk);}
+   \pgfqkeys{/tkzjoinmk}{#1}  
+   \pgfmathsetcount{\tkz@cntmk}{\tkz@@cnt-2}
+   \edef\tkz@@cnt{\the\tkz@cntmk} 
+   \foreach \nb in {1,...,\tkz@@cnt}{%
+   \tkz@cntmk=\nb
+   \advance\tkz@cntmk by1 
+   \draw[line cap=round,/tkzjoinmk/.cd,#1]
+         (\tkz@pref\nb) -- (\tkz@pref\the\tkz@cntmk);}
 \endgroup}   
 %<-------------------------------------------------------------------------–>
 %              ShowSetOfMark
 %<-------------------------------------------------------------------------–>
-\pgfkeys{
-/tkzdrawmk/.cd,
-prefix/.code                = {\global\edef\tkz@pref{#1}},
-/tkzdrawmk/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                              \pgfkeysalso{\searchname/.try=#1,
-                               /tikz/\searchname/.retry=#1}}  
+\pgfkeys{/tkzdrawmk/.cd,
+         prefix/.store in            = \tkz@pref,
+         prefix=tkzPt,
+          /tkzdrawmk/.search also      =  {/tikz}
 } 
 \def\tkzDrawSetOfPoints{\pgfutil@ifnextchar[{\tkz@DrawSetOfPoints}{
                                              \tkz@DrawSetOfPoints[]}} 
 \def\tkz@DrawSetOfPoints[#1]{%
 \begingroup
-\pgfkeys{/tkzdrawmk/.cd, prefix=tkzPt}
 \pgfqkeys{/tkzdrawmk}{#1}  
 \pgfmathsetcount{\tkz@cntmk}{\tkz@@cnt-1}  
-\foreach \nb in {1,...,\tkz@cntmk}{%
-\tkzDrawMark[#1](\tkz@pref\nb)}
+\foreach \nb in {1,...,\tkz@cntmk}{\tkzDrawMark[#1](\tkz@pref\nb)}
 \endgroup} 
- 
 %<-------------------------------------------------------------------------–>
 %               tkzmark
 %<-------------------------------------------------------------------------–>
@@ -93,43 +79,39 @@ prefix/.code                = {\global\edef\tkz@pref{#1}},
 \def\tkz@DrawMark[#1](#2){%
     \draw plot[mark style,#1] coordinates {(#2)};  
 }
-%<-------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
+%<---------------------------------------------------------–>
+%<---------------------------------------------------------–>
 \def\tkzDrawMarks{\pgfutil@ifnextchar[{\tkz@DrawMarks}{\tkz@DrawMarks[]}}  
 \def\tkz@DrawMarks[#1](#2){%
-\foreach \point in {#2}{%
-\draw plot[mark style,#1] coordinates {(\point)}; % StyleMark,
+   \foreach \point in {#2}{%
+      \draw plot[mark style,#1] coordinates {(\point)};% StyleMark,
 }} 
-
-%<--------------------------------------------------------------------------–>
+%<------------------------------------------------------------–>
 %                Init pour mark
-%<--------------------------------------------------------------------------–>
-\pgfkeys{%
-setupmk/.cd,
-size/.code    =  {\global\edef\tkz@sum@mk@size{#1}},
-color/.code   =  {\global\edef\tkz@sum@mk@color{#1}},
-fill/.code    =  {\global\edef\tkz@sum@mk@fill{#1}}, 
-mark/.code    =  {\global\edef\tkz@sum@mk@mark{#1}}
+%<------------------------------------------------------------–>
+\pgfkeys{/setupmk/.cd,
+   size/.store in          =  \tkz@sum@mk@size,
+   color/.store in         =  \tkz@sum@mk@color,
+   fill/.store in          =  \tkz@sum@mk@fill, 
+   mark/.store in          =  \tkz@sum@mk@mark,
+      mark           =  \tkz@mk@mark,
+      color          =  \tkz@mk@color,
+      fill           =  \tkz@mk@color!50,
+      size           =  \tkz@mk@size
 } 
-
 \def\tkzSetUpMark{\pgfutil@ifnextchar[{\tkzActivOff\tkz@SetUpMark}{%
                                          \tkzActivOff\tkz@SetUpMark[]}} 
 
 \def\tkz@SetUpMark[#1]{% 
- \pgfkeys{%
-/setupmk/.cd,
-mark    =  \tkz@mk@mark,
-color   =  \tkz@mk@color,
-fill    =  \tkz@mk@color!50,
-size    =  \tkz@mk@size}
 \pgfqkeys{/setupmk}{#1}
-\tikzset{mark style/.style={inner sep    = 0pt,
-                            mark         = \tkz@sum@mk@mark,
-                            mark size    = \tkz@sum@mk@size,
-                            mark options = {color = \tkz@sum@mk@color,
-                                            fill  = \tkz@sum@mk@fill}}}
+\tikzset{mark style/.style={%
+  inner sep    = 0pt,
+  mark         = \tkz@sum@mk@mark,
+  mark size    = \tkz@sum@mk@size,
+  mark options = {color = \tkz@sum@mk@color,
+  fill  = \tkz@sum@mk@fill}}}
 }%  
-
-%<--------------------------------------------------------------------------–>
+\makeatother
+%<---------------------------------------   ------------------–>
 \endinput
   
 \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-points.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-points.tex
index 88c99c3a17e..39f2c391cc6 100644
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-points.tex
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-points.tex
@@ -1,25 +1,19 @@
+% tkz-obj-points.tex
 % Copyright 2011 by Alain Matthes
 %
 % This file may be distributed and/or modified
 %
 % 1. under the LaTeX Project Public License and/or
 % 2. under the GNU Public License.
-
-
-\def\fileversion{1.16 d}
-\def\filedate{2018/09/19}
-
-
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c  tkz-obj-points.tex} 
 %<--------------------------------------------------------------------------–>
 %                             init def point 
 %<--------------------------------------------------------------------------–>
-\newif\iftkz@polar\tkz@polarfalse
-\newif\iftkz@pt@polar 
-\newif\iftkz@pt@show 
-\newif\iftkz@pt@noname
-
-  
+\makeatletter
 %<--------------------------------------------------------------------------–>
+% define a new shape for the points
 \pgfdeclareshape{cross}
 {%
   \inheritsavedanchors[from=rectangle] % this is nearly a rectangle
@@ -41,12 +35,12 @@
   \inheritanchor[from=rectangle]{south east}
   \foregroundpath{
 % store lower right in xa/ya and upper right in xb/yb
-    \southwest \pgf@xa=\pgf@x \pgf@ya=\pgf@y
-    \northeast \pgf@xb=\pgf@x \pgf@yb=\pgf@y
-    \pgfpathmoveto{\pgfqpoint{0 pt}{\pgf@ya}}
-    \pgfpathlineto{\pgfqpoint{0 pt}{\pgf@yb}}
-    \pgfpathmoveto{\pgfqpoint{\pgf@xa}{0 pt}}
-    \pgfpathlineto{\pgfqpoint{\pgf@xb}{0 pt}}
+  \southwest \pgf@xa=\pgf@x \pgf@ya=\pgf@y
+  \northeast \pgf@xb=\pgf@x \pgf@yb=\pgf@y
+  \pgfpathmoveto{\pgfqpoint{0 pt}{\pgf@ya}}
+  \pgfpathlineto{\pgfqpoint{0 pt}{\pgf@yb}}
+  \pgfpathmoveto{\pgfqpoint{\pgf@xa}{0 pt}}
+  \pgfpathlineto{\pgfqpoint{\pgf@xb}{0 pt}}
  }
 }
 %<--------------------------------------------------------------------------–>
@@ -61,7 +55,7 @@
 \iftkz@polar 
    \tkz@getfrompolar#1\@nil
 \else
-  \tkz@getfromcart#1\@nil
+   \tkz@getfromcart#1\@nil
 \fi
 }
 \def\tkz@getseparator#1,#2\@nil{%
@@ -71,22 +65,46 @@
    \tkz@polarfalse
 \fi
 }      
-\def\tkz@getfrompolar#1:#2\@nil{
-  \FPeval\tkz@a{(#1)}
-  \FPeval\tkz@r{(#2)} 
-\global\edef\tkz@polarrad{\tkz@r}
-\global\edef\tkz@polarangle{\tkz@a}
+\def\tkz@getfrompolar#1:#2\@nil{%
+\edef\tkz@a{\fpeval{#1}}
+\edef\tkz@r{\fpeval{#2}}
+\xdef\tkz@polarrad{\tkz@r}
+\xdef\tkz@polarangle{\tkz@a}
 } 
-\def\tkz@getfromcart#1,#2\@nil{
-  \FPeval\tkz@x{(#1)}
-  \FPeval\tkz@y{(#2)}
-\global\edef\tkz@absc{\tkz@x}
-\global\edef\tkz@ord{\tkz@y}
+\def\tkz@getfromcart#1,#2\@nil{%
+\edef\tkz@x{\fpeval{#1}}
+\edef\tkz@y{\fpeval{#2}}
+\xdef\tkz@absc{\tkz@x}
+\xdef\tkz@ord{\tkz@y}
 }
 %<--------------------------------------------------------------------------–>
-% la macro defpoint les coordonnées cartésiennes ou polaires sont  traitées
-% afin de pouvoir adaptées avec les unités choisies
+%           options pour point definition
 %<--------------------------------------------------------------------------–>
+\pgfkeys{/@tkzpt/.cd,  
+         polar/.is if       = tkz@pt@polar,
+         polar/.default     = true,
+         polar              = false  
+}
+%<--------------------------------------------------------------------------–>
+%        tkz@ptStar  
+%<--------------------------------------------------------------------------–>
+\def\tkz@ptStar[#1](#2,#3)#{%
+\pgfkeys{/@tkzpt/.cd, polar     = false} 
+\pgfqkeys{/@tkzpt}{#1}  
+\iftkz@pt@polar%
+  \edef\tkz@x{\fpeval{#3*cosd(#2)}}
+  \edef\tkz@y{\fpeval{#3*sind(#2)}}
+\else
+  \edef\tkz@x{\fpeval{#2}}
+  \edef\tkz@y{\fpeval{#3}}
+\fi
+\edef\tkzpt@xa{\fpeval{(\tkz@x-\tkz@init@xorigine)/\tkz@init@xstep}}
+\edef\tkzpt@ya{\fpeval{(\tkz@y-\tkz@init@yorigine)/\tkz@init@ystep}}
+\tkz@node
+}
+%<--------------------------------------------------------------------------–>
+% la macro defpoint les coordonnées cartésiennes ou polaires sont  traitées
+% afin de pouvoir être adaptées avec les unités choisies
 %<--------------------------------------------------------------------------–>
 \def\tkzDefPoint{\pgfutil@ifnextchar[{\tkzActivOff\tkz@DefPoint}{%
                                       \tkzActivOff\tkz@DefPoint[]}}
@@ -94,426 +112,216 @@
 \def\tkz@DefPoint[#1](#2)#{% 
 \tkz@parsecoordinate{#2}
 \iftkz@polar
- \tkz@ptStar[polar](\tkz@polarangle,\tkz@polarrad){tkz@coord@temp}
- \else  
-     \tkz@ptStar[](#2){tkz@coord@temp}
- \fi
-\tkz@DefPointEnd[#1]}% 
-\def\tkz@DefPointEnd[#1]#2{% 
- \coordinate[#1] (#2) at (tkz@coord@temp);
-}
+   \tkz@ptStar[polar](\tkz@polarangle,\tkz@polarrad){tkz@coord@temp}
+\else  
+    \tkz@ptStar[](#2){tkz@coord@temp}
+\fi
+\tkz@DefPointEnd[#1]
+}% 
+\def\tkz@DefPointEnd[#1]#2{\coordinate[#1] (#2) at (tkz@coord@temp);}
 %<--------------------------------------------------------------------------–>
 %                            tkzDefPoints
 %<--------------------------------------------------------------------------–>
-\def\tkzDefPoints{\pgfutil@ifnextchar[{\tkz@DefPoints}{%
-                                       \tkz@DefPoints[]}}
-
+\def\tkzDefPoints{\pgfutil@ifnextchar[{\tkz@DefPoints}{\tkz@DefPoints[]}}
 \def\tkz@DefPoints[#1]#2{%
-\begingroup
-   \foreach \ptx/\pty/\name in {#2}{\tkzDefPoint[#1](\ptx,\pty){\name}}%
-\endgroup
-} %<--------------------------------------------------------------------------–>
-%                Init pour Draw
-%<--------------------------------------------------------------------------–>
-\pgfkeys{%
-setuppt/.cd,
-size/.code    =  {\global\edef\tkz@pt@size{#1}},
-color/.code   =  {\global\edef\tkz@pt@color{#1}},
-fill/.code    =  {\global\edef\tkz@pt@fill{#1}}, 
-shape/.code   =  {\global\edef\tkz@pt@shape{#1}}
-} 
+  \begingroup
+  \def\tkz@parenthesis@for@err{(}%
+  \def\tkz@maybe@parenthesis{#2}%
+  \ifx\tkz@maybe@parenthesis\tkz@parenthesis@for@err
+    \PackageError{tkz-base}{Syntax error  use {} instead of ()}{You need to use {} instead of ()}%
+    \expandafter\@firstoftwo
+  \else
+    \expandafter\@secondoftwo
+  \fi
+  {\tkz@absorb@bad@arg}% 
+  {\foreach \ptx/\pty/\name in {#2}{\tkzDefPoint[#1](\ptx,\pty){\name}}%
+   \endgroup}%
+}
+\def\tkz@absorb@bad@arg#1){\endgroup}
+%<--------------------------------------------------------------------------–>
+\def\tkz@node#1{\path[coordinate](\tkzpt@xa,\tkzpt@ya) coordinate(#1);}  
+% \def\tkz@drawnode#1{\path[coordinate](\tkzpt@xa,\tkzpt@ya) coordinate(#1);
+%              \tkz@DrawPt{#1}
+%              }
 %<--------------------------------------------------------------------------–>
 %                    tkzSetUpPoint  définit la forme d'un point
 %<--------------------------------------------------------------------------–>
+\pgfkeys{/@setuppt/.cd,
+            size/.store in       =  \tkz@pt@size,
+            color/.store in      =  \tkz@pt@color,
+            fill/.store in       =  \tkz@pt@fill, 
+            shape/.store in      =  \tkz@pt@shape,
+            size                 =  \tkz@euc@pointsize,
+            color                =  \tkz@euc@pointcolor,
+            fill                 =  \tkz@euc@pointcolor,
+            shape                =  \tkz@euc@pointshape,
+         /@setuppt/.search also  = {/tikz},
+       } 
 \def\tkzSetUpPoint{\pgfutil@ifnextchar[{\tkzActivOff\tkz@SetUpPoint}{%
                                          \tkzActivOff\tkz@SetUpPoint[]}}
-
 \def\tkz@SetUpPoint[#1]{%
-\pgfkeys{%
-/setuppt/.cd,
-size    =  \tkz@euc@pointsize,
-color   =  \tkz@euc@pointcolor,
-fill    =  \tkz@euc@pointcolor!50,
-shape   =  \tkz@euc@pointshape}
-\pgfqkeys{/setuppt}{#1}
+\pgfqkeys{/@setuppt}{#1}
+% redefine point style with new values
 \tikzset{point style/.style={draw         = \tkz@pt@color,
                              inner sep    = 0pt,
                              shape        = \tkz@pt@shape,
-                             minimum size = \tkz@pt@size*\pgflinewidth,
-                             fill         = \tkz@pt@fill}}}%
-%<--------------------------------------------------------------------------–>
+                             minimum size = \tkz@pt@size,
+                             fill         = \tkz@pt@fill
+                      }
+      }
+   }% end setup
 %<--------------------------------------------------------------------------–>
 %                       Draw Point   
-%<--------------------------------------------------------------------------–> 
-%<--------------------------------------------------------------------------–> 
-%\tikzset{/drawpoint/size/.style={minimum size=#1*\pgflinewidth}}
-\pgfkeys{/drawpoint/.cd, 
-  size/.code    = {\tikzset{point style/.append style={%
-                   minimum size = #1*\pgflinewidth}}},
-  color/.code    = {\tikzset{point style/.append style={%
-                   draw = #1}}}, 
-  shape/.code    = {\tikzset{point style/.append style={%
-                   shape=#1}}},
-  fill/.code    = {\tikzset{point style/.append style={%
-                   fill=#1}}}                                     }
-    
+%<--------------------------------------------------------------------------–>
+\pgfkeys{/@drawpoint/.cd, 
+  size/.code   = {\tikzset{point style/.append style={minimum size = #1}}},
+  size         = \tkz@euc@pointsize,
+  /@drawpoint/.search also  = {/tikz},
+}
+%<--------------------------------------------------------------------------    
 \def\tkzDrawPoint{\pgfutil@ifnextchar[{\tkz@DrawPoint}{\tkz@DrawPoint[]}} 
 \def\tkz@DrawPoint[#1](#2){%
 \begingroup 
-\pgfkeys{/drawpoint/.cd}
-\pgfqkeys{/drawpoint}{#1}    
-\node[point style] at (#2) {};
+    \pgfqkeys{/@drawpoint}{#1}    
+    \node[point style,/@drawpoint/.cd,#1] at (#2) {};%2016
 \endgroup
 }
-
 %<--------------------------------------------------------------------------–> 
 \def\tkzDrawPoints{\pgfutil@ifnextchar[{\tkz@drawpts}{\tkz@drawpts[]}} 
 %<--------------------------------------------------------------------------–> 
 \def\tkz@drawpts[#1](#2){%
 \begingroup
-\pgfkeys{/drawpoint/.cd}
-\pgfqkeys{/drawpoint}{#1}        
-\foreach \point in {#2}{%
-   \node[point style] at (\point) {};}
+   \pgfqkeys{/@drawpoint}{#1}        
+   \foreach \point in {#2}{\node[point style,/@drawpoint/.cd,#1] at (\point) {};} %2016
 \endgroup 
 }
 %<--------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
-% rename
-%<--------------------------------------------------------------------------–>
-% \def\tkzRenamePoint{\pgfutil@ifnextchar[{\tkzActivOff\tkz@RenamePoint}{%
-%                                          \tkzActivOff\tkz@RenamePoint[]}}  
-% \def\tkz@RenamePoint[#1](#2)#{%
-% \coordinate (tkz@coord@temp) at (#2);%
-% \pgfextractx{\pgf@x}{\pgfpointanchor{tkz@coord@temp}{center}}
-% \pgfextracty{\pgf@y}{\pgfpointanchor{tkz@coord@temp}{center}}
-% \tkz@ax\pgf@x %
-% \tkz@ay\pgf@y %
-% \tkz@RenamePointEnd[#1]}% 
+% 
 %<--------------------------------------------------------------------------–>
 \def\tkzRenamePoint(#1)#2{\coordinate (#2) at (#1);}
 \def\tkz@RenamePointEnd[#1]#2{\coordinate[#1] (#2) at (\tkz@ax,\tkz@ay);}
 \def\tkzGetPoint#1{\coordinate  (#1) at (tkzPointResult);} 
-\def\tkzGetPoints#1#2{\coordinate  (#1) at (tkzFirstPointResult);%
+\def\tkzGetPoints#1#2{\coordinate  (#1) at (tkzFirstPointResult);
                       \coordinate  (#2) at (tkzSecondPointResult);}
 \def\tkzGetFirstPoint#1{\coordinate  (#1) at (tkzFirstPointResult);}
 \def\tkzGetSecondPoint#1{\coordinate  (#1) at (tkzSecondPointResult);}
 \def\tkzDefShiftPointCoord[#1](#2)#3{%
-\begin{scope}[shift={(#1)}]
-  \coordinate  (#3) at (#2);
-\end{scope}
-}%
-
+                \begin{scope}[shift={(#1)}]
+                     \coordinate  (#3) at (#2);
+                \end{scope}
+                           }%
+%<--------------------------------------------------------------------------–>
+%            tkzDefShiftPoint
+%<--------------------------------------------------------------------------–>
 \def\tkzDefShiftPoint[#1](#2)#3{%
- \tkz@@extractxy{#1}
- \tkz@ax\pgf@x %
- \tkz@ay\pgf@y %   
+   \tkz@@extractxy{#1}
+   \tkz@ax\pgf@x %
+   \tkz@ay\pgf@y %   
 \begin{scope}[shift={(\tkz@ax,\tkz@ay)}]
    \coordinate  (#3) at (#2);
 \end{scope}
 }
 %<-------------------------------------------------------------------------–>
-%   tkzLabelPoint          Affichage des LABELS pour un point
-%<-------------------------------------------------------------------------–> 
-% \newif\iftkz@mode@show 
-% \tikzoption{show}{\tikz@addmode{\tkz@mode@showfalse}}  
-\tikzset{label style/.style={\tkz@euc@pointpos,\tkz@euc@labelcolor,font=\normalsize}}
+%                   tkzLabelPoint          Affichage des LABELS pour un point
+%<-------------------------------------------------------------------------–>  
+\tikzset{label style/.style={\tkz@euc@pointpos,\tkz@euc@labelcolor,
+                     font=\normalsize}}
 \def\tkzLabelPoint{\pgfutil@ifnextchar[{\tkz@LabelPoint}{\tkz@LabelPoint[]}} 
-\def\tkz@LabelPoint[#1](#2)#3{\node[label style,#1] at (#2) {#3};}%
+\def\tkz@LabelPoint[#1](#2)#3{%
+      \node[label style,#1] at (#2) {#3};}%
+%<--------------------------------------------------------------------------–>
 
 \def\tkzLabelPoints{\pgfutil@ifnextchar[{\tkz@LabelPoints}{%
                                          \tkz@LabelPoints[]}}% 
 \def\tkz@LabelPoints[#1](#2){%
  \foreach \point in {#2}{
- \node[label style,#1] at (\point) {$\point$};}
+      \node[label style,#1] at (\point) {$\point$};}
+}%
+%<--------------------------------------------------------------------------–>
+%<--------------------------------------------------------------------------–>
+
+\pgfkeys{/@tkzautolab/.cd,
+    center/.store in           = \tkz@center,
+    dist/.store in             = \tkz@dist,
+    dist                       = 0.15,
+   /@tkzautolab/.search also   = {/tikz},
+}
+\def\tkzAutoLabelPoints{\pgfutil@ifnextchar[{\tkz@AutoLabelPoints}{%
+                                         \tkz@AutoLabelPoints[]}}% 
+\def\tkz@AutoLabelPoints[#1](#2){%
+\begingroup 
+\pgfqkeys{/@tkzautolab}{#1} 
+ \foreach \point in {#2}{
+ \path (\tkz@center) -- ($ (\point) + \tkz@dist*($(\point)-(\tkz@center)$) $) node[/@tkzautolab/.cd,#1]{$\point$};}
+\endgroup
 }%
 %<--------------------------------------------------------------------------–>
-%                                 Coord  
-%<--------------------------------------------------------------------------–>
-\newif\if@tkz@coord@noxdraw
-\newif\if@tkz@coord@noydraw
-\pgfkeys{
-/tkzprcoord/.cd,
-  xlabel/.code    = {\global\edef\tkz@xlabel{#1}},%
-  ylabel/.code    = {\global\edef\tkz@ylabel{#1}}, 
-  xstyle/.code    = {\tikzset{xcoord style/.append style={#1}}},
-  ystyle/.code    = {\tikzset{ycoord style/.append style={#1}}},
-  noxdraw/.is if    = @tkz@coord@noxdraw,
-  noxdraw/.default  = true,
-  noydraw/.is if    = @tkz@coord@noydraw,
-  noydraw/.default  = true,    
- /tkzprcoord/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                                 \pgfkeysalso{\searchname/.try=#1,
-                                   /tikz/\searchname/.retry=#1}} 
+%                                 PointShowCoord  
+%<--------------------------------------------------------------------------–>
+\pgfkeys{/@tkzprcoord/.cd,
+          xlabel/.store in    = \tkz@xlabel,
+          ylabel/.store in    = \tkz@ylabel, 
+          xstyle/.code        = {\tikzset{xcoord style/.append style={#1}}},
+          ystyle/.code        = {\tikzset{ycoord style/.append style={#1}}},
+          noxdraw/.is if      = tkz@coord@noxdraw,
+          noxdraw/.default    = true,
+          noydraw/.is if      = tkz@coord@noydraw,
+          noydraw/.default    = true,
+          xlabel              = {},
+          ylabel              = {},
+          xstyle              = {},
+          ystyle              = {},
+          noxdraw             = false,
+          noydraw             = false,    
+  /@tkzprcoord/.search also   = {/tikz},
 }
-                              \def\tkzPointShowCoord{\pgfutil@ifnextchar[{\tkz@PointShowCoord}{%
-                                         \tkz@PointShowCoord[]}}     
+\def\tkzPointShowCoord{\pgfutil@ifnextchar[{\tkz@PointShowCoord}{\tkz@PointShowCoord[]}}     
 \def\tkz@PointShowCoord[#1](#2){%
 \begingroup 
-\pgfkeys{%
-tkzprcoord/.cd,
-  xlabel  = {},
-  ylabel  = {},
-  xstyle  = {},
-  ystyle  = {},
-  noxdraw = false,
-  noydraw   = false
-  }
-\pgfqkeys{/tkzprcoord}{#1} 
-\if@tkz@coord@noxdraw\else\draw[arrow coord style] (#2)--(#2 |- tkz@xline); \fi 
-\if@tkz@coord@noydraw\else \draw[arrow coord style] (#2)--(#2 -| tkz@yline);\fi   
+\pgfqkeys{/@tkzprcoord}{#1} 
+% 2019 for showcoord
+ \iftkznodedefined{tkz@xline}{}{%
+ \path (0,0) --(1,0) node(tkz@xline){};
+ \path (0,0) --(0,1) node(tkz@yline){};
+ }
+\iftkz@coord@noxdraw\else\draw[arrow coord style,/@tkzprcoord/.cd,#1] (#2)--(#2 |- tkz@xline);\fi 
+\iftkz@coord@noydraw\else\draw[arrow coord style,/@tkzprcoord/.cd,#1] (#2)--(#2 -| tkz@yline);\fi   
 \ifx\tkzutil@empty\tkz@xlabel
 \else
-  \protected@edef\tkz@temp{%  
-  \noexpand\path (#2)--(#2 |- tkz@xline)
-  \noexpand node[xcoord style]}\tkz@temp {\tkz@xlabel};
+\path (#2)--(#2 |- tkz@xline)
+  node[xcoord style] {\tkz@xlabel};
 \fi
 \ifx\tkzutil@empty\tkz@ylabel
 \else
-  \protected@edef\tkz@temp{%
-  \noexpand\path (#2)--(#2 -| tkz@yline)
-  \noexpand node[ycoord style]}\tkz@temp {\tkz@ylabel};
+ \path (#2)--(#2 -| tkz@yline)
+   node[ycoord style] {\tkz@ylabel};
 \fi    
 \endgroup
 }
-
-%<-------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
-%                                       tkzPoint
-%<--------------------------------------------------------------------------–>
-\pgfkeys{
-  tkzpt/.cd,  
-  pos/.code          = {\def\tkz@pt@pos{#1}},
-  size/.code         = {\def\tkz@pt@size{#1}},
-  name/.code         = {\def\tkz@pt@name{#1}},
-  namecolor/.code    = {\def\tkz@pt@namecolor{#1}},
-  time/.code         = {\def\tkz@pt@time{#1}},
-  color/.code        = {\def\tkz@pt@color{#1}},
-  shape/.code        = {\def\tkz@pt@shape{#1}},
-  polar/.is if       = tkz@pt@polar,
-  polar/.default     = true,  
-  noname/.is if      = tkz@pt@noname,
-  noname/.default    = true
-}
-
-\def\tkz@node#1{\path[coordinate](\ptxa,\ptya) coordinate(#1);}  
-\def\tkz@drawnode#1{\path[coordinate](\ptxa,\ptya) coordinate(#1);
-\tkz@DrawPt{#1}
-}
-
-\def\tkz@draw@point#1{%
-  \node[ inner sep    = 0pt,
-         shape        = \tkz@pt@shape,%
-         draw         = \tkz@pt@color,%
-         minimum size = \tkz@pt@size*\pgflinewidth,%
-         fill         = \tkz@pt@color] at (#1) {};}
-          
-\def\tkzPoint{\@ifstar\tkzptStar\tkzptNoStar}
-\def\tkzptNoStar{\pgfutil@ifnextchar[{\tkz@ptNoStar}{\tkz@ptNoStar[]}} 
-\def\tkz@ptNoStar[#1](#2,#3)#{%  
-\pgfkeys{/tkzpt/.cd,
- noname    = false,%  pas de nom
- name      = {},%     le nom est vide 
- polar     = false,%
- namecolor = \tkz@euc@labelcolor,%  couleur du nom
- pos       = \tkz@euc@pointpos,% name
- shape     = \tkz@euc@pointshape,%
- color     = \tkz@euc@pointcolor,% couleur du point
- size      = \tkz@euc@pointsize,%
- time      = 0.5
-} 
-\pgfqkeys{/tkzpt}{#1}  
-   \iftkz@pt@polar%
-     \FPeval\tkz@x{(#2*cos(#3*\FPpi/180))}
-     \FPeval\tkz@y{(#2*sin(#3*\FPpi/180))}
-   \else
-     \FPeval\tkz@x{(#2)}
-     \FPeval\tkz@y{(#3)}
-   \fi
-
- \FPadd{\ptxa}{\tkz@x}{-\tkz@init@xorigine}
- \FPadd{\ptya}{\tkz@y}{-\tkz@init@yorigine}
- \FPdiv{\ptxa}{\ptxa}{\tkz@init@xstep}
- \FPdiv{\ptya}{\ptya}{\tkz@init@ystep}
-  \tkz@drawnode
-}
-% dessin du point (par défaut c'est un node donc il ne peut pas être scalé)
-\def\tkz@DrawPt#1{%
-  \iftkz@pt@noname%  pas de nom rien
-  \else% si name={} alors on prend le nom du node sinon name
-       \ifx\tkzutil@empty\tkz@pt@name\def\tkz@pt@name{$#1$}%
-       \fi
-       \protected@edef\tkz@temp{%
-          \noexpand \node[\tkz@pt@pos]}\tkz@temp at (#1)%
-          {\textcolor{\tkz@pt@namecolor} {\tkz@pt@name}};%    
-  \fi
-% on retrace ???  ici ou après le fi
-\tkz@draw@point{#1}
-}
-
-%<--------------------------------------------------------------------------–>
-%                                  Star version tkzPoint*   
-%<--------------------------------------------------------------------------–>
-\def\tkzptStar{\pgfutil@ifnextchar[{\tkz@ptStar}{\tkz@ptStar[]}} 
-\def\tkz@ptStar[#1](#2,#3)#{%
-\pgfkeys{/tkzpt/.cd,
- polar     = false,%
-} 
-\pgfqkeys{/tkzpt}{#1}  
-\iftkz@pt@polar%
-  \FPeval\tkz@x{(#3*cos(#2*\FPpi/180))}
-  \FPeval\tkz@y{(#3*sin(#2*\FPpi/180))}
-\else
-  \FPeval\tkz@x{(#2)}
-  \FPeval\tkz@y{(#3)}
-\fi
-\FPadd{\ptxa}{\tkz@x}{-\tkz@init@xorigine}
-\FPadd{\ptya}{\tkz@y}{-\tkz@init@yorigine}
-\FPdiv{\ptxa}{\ptxa}{\tkz@init@xstep}
-\FPdiv{\ptya}{\ptya}{\tkz@init@ystep}
-\tkz@node
-}
-
-%<--------------------------------------------------------------------------–>
-%                                  Points   
-%<--------------------------------------------------------------------------–>
-\def\tkzPoints{\pgfutil@ifnextchar[{\tkz@Points}{\tkz@Points[]}}  
-\def\tkz@Points[#1](#2){%
-\begingroup
-   \foreach \ptx/\pty/\name in {#2}{%
-             \tkzPoint[#1](\ptx,\pty){\name}%
-   }
-\endgroup
-}
-
-   %<--------------------------------------------------------------------------–>
-% macro d'affichage  % 
-%<--------------------------------------------------------------------------–>
-\pgfqkeys{/pointwith}
-{ orthogonal/.code            =\def\tkz@numv{0},
-  orthogonal normed/.code     =\def\tkz@numv{1},
-  linear/.code                =\def\tkz@numv{2},
-  linear normed/.code         =\def\tkz@numv{3},
-  colinear/.code         args ={at #1} {\global\def\tkz@numv{4}
-                                        \global\def\tkz@frompoint{#1}},
-  K/.code                     =\def\tkz@Koeff{#1}
-  } 
-
-\def\tkzDefPointWith{\pgfutil@ifnextchar[{\tkz@DefPointWith}{%
-           \tkz@DefPointWith[]}}
-\def\tkz@DefPointWith[#1](#2){%
-\pgfqkeys{/pointwith}{linear,K=1}
-\pgfqkeys{/pointwith}{#1}
-\ifcase\tkz@numv%
- % first case 0
-   \tkz@VecKOrth[\tkz@Koeff](#2){tkzPointResult}
-  \or% 1
-   \tkz@VecKOrthNorm[\tkz@Koeff](#2){tkzPointResult}
-  \or% 2
-   \tkz@VecK[\tkz@Koeff](#2){tkzPointResult} 
-  \or% 3
-   \tkz@VecKNorm[\tkz@Koeff](#2){tkzPointResult}
-  \or% 4
-   \tkz@VecKCoLinear[\tkz@Koeff](#2,\tkz@frompoint){tkzPointResult} 
-   \fi    
-}
-
-%<-------------------------------------------------------------------------–>
-% % % Points aléatoires sur un segment, une droite, une demi-droite un cercle 
-%<--------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
-%                          les points aléatoires
-%<--------------------------------------------------------------------------–>
-\def\tkz@numrp{0}
-\pgfkeys{/tkzDefRandPoint/.cd,
-rectangle/.code args={#1 and #2}{\global\def\tkz@numrp{0}%
-                                 \global\def\tkz@infl{#1}%
-                                 \global\def\tkz@supr{#2}},
-segment/.code  args={#1--#2}{\global\def\tkz@numrp{1}%
-                              \global\def\tkz@start{#1}%
-                              \global\def\tkz@end{#2}}, 
-line/.code args={#1--#2}{\global\def\tkz@numrp{2}%
-                          \global\def\tkz@start{#1}%
-                          \global\def\tkz@end{#2}},  
-circle/.code args={center #1 radius #2}{\def\tkz@numrp{3}%
-                                          \global\def\tkz@center{#1}
-                                          \global\def\tkz@rad{#2}}
-} 
-
-\def\tkzGetRandPointOn{\pgfutil@ifnextchar[{\tkz@DefRandPointOn}{%
-           \tkz@DefRandPointOn[]}}
-\def\tkz@DefRandPointOn[#1]#2{% 
-\begingroup
-\pgfkeys{/tkzDefRandPoint/.cd}   
-\pgfqkeys{/tkzDefRandPoint}{#1}  
-\ifcase\tkz@numrp%
- % first case 0
- \tkzRandPointOnRect(\tkz@infl,\tkz@supr){#2}  
-  \or% 1
- \tkzRandPointOnSegment(\tkz@start,\tkz@end){#2}  
-  \or% 2
- \tkzRandPointOnLine(\tkz@start,\tkz@end){#2} 
-  \or% 3
- \tkzRandPointOnCircle(\tkz@center,\tkz@rad){#2} 
-\fi    
-\endgroup
-}
-
-\def\tkzRandPointOnRect(#1,#2)#3{% 
-\tkz@@extractxy{#1}
-    \pgf@xa=\pgf@x\relax%
-    \pgf@ya=\pgf@y\relax%   
-\tkz@@extractxy{#2}
-    \pgf@xb=\pgf@x\relax%
-    \pgf@yb=\pgf@y\relax%     
-\FPadd{\tkz@a}{\pgf@sys@tonumber{\pgf@xb}}{-\pgf@sys@tonumber{\pgf@xa}}
-\FPadd{\tkz@b}{\pgf@sys@tonumber{\pgf@yb}}{-\pgf@sys@tonumber{\pgf@ya}}
-  \pgfmathparse{rnd}\global\let\myrndone\pgfmathresult 
-    \pgfmathparse{rnd}\global\let\myrndtwo\pgfmathresult  
-\path[coordinate] ($(#1)+(\myrndone*\tkz@a pt,%
-                          \myrndtwo*\tkz@b pt)$) coordinate (#3);
-                          } 
-
-\def\tkzRandPointOnSegment(#1,#2)#3{% 
-  \pgfmathparse{rnd}\global\let\myrnd\pgfmathresult 
-\path[coordinate]  ($ (#1)!\myrnd!(#2) $) coordinate (#3);} 
-
-\def\tkzRandPointOnLine(#1,#2)#3{% 
-  \pgfmathparse{rand}\global\let\myrnd\pgfmathresult 
-\path[coordinate]  ($ (#1)!\myrnd!(#2) $) coordinate (#3);}
-
-\def\tkzRandPointOnCircle(#1,#2)#3{% 
-\pgfmathrandominteger{\myrnd}{0}{360}
-\tkz@ax#2 %
-\FPeval\tkz@xa{\pgf@sys@tonumber{\tkz@ax}*cos(\myrnd*\FPpi/180)} 
-\FPeval\tkz@xb{\pgf@sys@tonumber{\tkz@ax}*sin(\myrnd*\FPpi/180)}  
-\path[coordinate]($(#1) + (\tkz@xa pt,\tkz@xb pt) $) coordinate (#3);
-}
-
 %<--------------------------------------------------------------------------–>
 %                    Coordonnées d'un point 
 %    result in #2x et #2y    #1 est le point et on récupère ses coordonnées
 % usage soit A un point \tkzGetPointCoord(A){V} alors \Vx = xA et \Vy = yA
 % en cm 
-% tkzGetPointCoord avec [#1] cm ou bien pt !!! %<--------------------------------------------------------------------------–>
+% tkzGetPointCoord avec [#1] cm ou bien pt ?? todo
+%<--------------------------------------------------------------------------–>
 \def\tkzGetPointCoord(#1)#2{%
 \begingroup
-\pgfextractx{\pgf@x}{\pgfpointanchor{#1}{center}}
-\pgfmathparse{\pgf@sys@tonumber{\pgf@x}/28.45274}
-\global\let\tkzresultx\pgfmathresult
-\global\expandafter\edef\csname #2x\endcsname{\tkzresultx}% 
-\pgfextracty{\pgf@y}{\pgfpointanchor{#1}{center}}
-\pgfmathparse{\pgf@sys@tonumber{\pgf@y}/28.45274}
-\global\let\tkzresulty\pgfmathresult
-\global\expandafter\edef\csname #2y\endcsname{\tkzresulty}
+   \pgfextractx{\pgf@x}{\pgfpointanchor{#1}{center}}
+   \pgfmathparse{\pgf@sys@tonumber{\pgf@x}/28.45274}
+   \global\let\tkzresultx\pgfmathresult
+   \global\expandafter\edef\csname #2x\endcsname{\tkzresultx}% 
+   \pgfextracty{\pgf@y}{\pgfpointanchor{#1}{center}}
+   \pgfmathparse{\pgf@sys@tonumber{\pgf@y}/28.45274}
+   \global\let\tkzresulty\pgfmathresult
+   \global\expandafter\edef\csname #2y\endcsname{\tkzresulty}
 \endgroup
 }  
-
 \def\tkz@@extractxy#1{%
 \pgfextractx{\pgf@x}{\pgfpointanchor{#1}{center}}
 \pgfextracty{\pgf@y}{\pgfpointanchor{#1}{center}} 
 }
 \let\tkzGetPointxy\tkzGetPointCoord
 %<--------------------------------------------------------------------------–>
-  
+\makeatother  
 \endinput
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-rep.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-rep.tex
new file mode 100644
index 00000000000..d66e9fc8954
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-rep.tex
@@ -0,0 +1,62 @@
+% tkz-obj-rep.tex
+% Copyright 2011 by Alain Matthes
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c  tkz-obj-rep.tex}   
+\makeatletter
+%<--------------------------------------------------------------------------–>
+%                                repère
+%<--------------------------------------------------------------------------–>
+\pgfkeys{/@tkzRep/.cd,
+      line width/.store in    = \tkz@Rep@lw,
+      xlabel/.store in        = \tkz@Rep@xlabel,
+      ylabel/.store in        = \tkz@Rep@ylabel,
+      posxlabel/.store in     = \tkz@Rep@posxlabel,
+      posylabel/.store in     = \tkz@Rep@posylabel,
+      xnorm/.store in         = \tkz@Rep@xnorm, 
+      ynorm/.store in         = \tkz@Rep@ynorm,
+      color/.store in         = \tkz@Rep@color,
+      colorlabel/.store in    = \tkz@Rep@colorlabel,
+      line width           = \tkz@sur@lw,
+      xlabel               = $\vec{\imath}$,
+      ylabel               = $\vec{\jmath}$,
+      posxlabel            = \tkz@sur@posxlabel, 
+      posylabel            = \tkz@sur@posylabel,
+      xnorm                = 1,
+      ynorm                = 1,
+      color                = \tkz@sur@color,% remove ?
+      colorlabel           = \tkz@sur@colorlabel,
+      /@tkzRep/.search also={/tikz},
+       } 
+%<--------------------------------------------------------------------------–>
+\def\tkzRep{\pgfutil@ifnextchar[{\tkz@Rep}{%
+                                 \tkz@Rep[]}} 
+\def\tkz@Rep[#1]{%
+\pgfqkeys{/@tkzRep}{#1}
+\begingroup
+  \protected@edef\tkz@temp{%  
+  \noexpand\draw [   line width=\tkz@Rep@lw,
+                  color=\tkz@Rep@color,
+               rep style]%
+  (0,0) to node[\tkz@Rep@posylabel,
+            color = \tkz@Rep@colorlabel,
+            node contents={\tkz@Rep@ylabel}]}\tkz@temp%
+      {}(0,\tkz@Rep@ynorm);
+  \protected@edef\tkz@temp{%
+  \noexpand \draw [  line width=\tkz@Rep@lw,
+               color=\tkz@Rep@color,
+               rep style]%
+   (0,0) to  node[   \tkz@Rep@posxlabel,
+                  color = \tkz@Rep@colorlabel,
+               node contents={\tkz@Rep@xlabel}]}\tkz@temp%
+      {}(\tkz@Rep@xnorm,0);  
+\endgroup 
+} 
+%<--------------------------------------------------------------------------–>
+\makeatother 
+\endinput
+\ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-segments.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-segments.tex
deleted file mode 100644
index 4826368640f..00000000000
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-segments.tex
+++ /dev/null
@@ -1,142 +0,0 @@
-% Copyright 2011 by Alain Matthes
-%
-% This file may be distributed and/or modified
-%
-% 1. under the LaTeX Project Public License and/or
-% 2. under the GNU Public License.
-
-
-\def\fileversion{1.16 d}
-\def\filedate{2018/09/19}  
-
-%<--------------------------------------------------------------------------–>
-%                               Setup   Segment
-%<--------------------------------------------------------------------------–>
-
-%<--------------------------------------------------------------------------–>
-%                             draw      segment  (s)
-%<--------------------------------------------------------------------------–>                              
-\def\tkzDrawSegment{\pgfutil@ifnextchar[{\tkz@DrawSegment}{%
-                                         \tkz@DrawSegment[]}} 
-\def\tkz@DrawSegment[#1](#2,#3){%    
-\begingroup
- \draw[line style,add=0 and 0,#1] (#2) to (#3); 
-\endgroup   
-}%    
-
-\def\tkz@multiDrawSeg#1 #2\@nil{%
- \protected@edef\tkz@temp{
-   \noexpand \tkzDrawSegment[\tkz@optseg](#1)}\tkz@temp%   
-   \def\tkz@nextArg{#2}%
-   \ifx\tkzutil@empty\tkz@nextArg
-     \let\next\@gobble
-   \fi
-   \next#2\@nil
-} 
-\def\tkzDrawSegments{\pgfutil@ifnextchar[{\tkz@DrawSegments}{%
-                                         \tkz@DrawSegments[]}}
-\def\tkz@DrawSegments[#1](#2){% 
-\global\edef\tkz@optseg{#1} 
-\begingroup
-   \let\next\tkz@multiDrawSeg
-   \next#2 \@nil %    
-\endgroup
-}
-%<-------------------------------------------------------------------------–> 
-%<-------------------------------------------------------------------------–> 
-\pgfkeys{tkzmarkoptions/.cd,
-pos/.code        = {\global\def\tkz@mkpos{#1}},
-color/.code      = {\global\def\tkz@mkcolor{#1}},
-mark/.code       = {\global\def\tkz@mark{#1}},
-size/.code       = {\global\def\tkz@mksize{#1}},
-/tkzmarkoptions/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                                \pgfkeysalso{\searchname/.try=#1,
-                                 /tikz/\searchname/.retry=#1}
-                                 } 
-}  
-
-\def\tkzMarkSegment{\pgfutil@ifnextchar[{\tkz@MarkSegment}{%
-                                        \tkz@MarkSegment[]}}
-\def\tkz@MarkSegment[#1](#2,#3){%
-\pgfkeys{tkzmarkoptions/.cd,
-         size   = 4pt,
-         color  = \tkz@mk@color,
-         pos    = .5,
-         mark   = none}
-\pgfqkeys{/tkzmarkoptions}{#1}
-
-\global\def\tkz@mymark{%
-  \pgfsetplotmarksize{\tkz@mksize}
-  \pgfuseplotmark{\tkz@mark}
-}
-\begin{scope} [decoration={ markings,mark=at position \tkz@mkpos with \tkz@mymark}] 
-\path [\tkz@mkcolor,postaction={decorate}] (#2) -- (#3);
-\end{scope}
-} 
-%<--------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
-% multiple
-\def\tkz@multiMS#1 #2\@nil{%
- \protected@edef\tkz@temp{
-   \noexpand \tkzMarkSegment[\tkz@optsg](#1)}\tkz@temp%
-   \def\tkz@nextArg{#2}%
-   \ifx\tkzutil@empty\tkz@nextArg
-     \let\next\@gobble
-   \fi
-   \next#2\@nil
-}
-%<--------------------------------------------------------------------------–>
-\def\tkzMarkSegments{\pgfutil@ifnextchar[{\tkz@MarkSegments}{%
-                                          \tkz@MarkSegments[]}}
-\def\tkz@MarkSegments[#1](#2){% 
-\global\edef\tkz@optsg{#1} 
-  \begingroup
-   \let\next\tkz@multiMS
-   \next#2 \@nil %    
-\endgroup 
-} 
-%<--------------------------------------------------------------------------–>
-%<------------------------- Label on segment -------------------------------–>
-%<--------------------------------------------------------------------------–>
-\def\tkzLabelSegment{\pgfutil@ifnextchar[{\tkz@LabelSegment}{%
-                                        \tkz@LabelSegment[]}}
-\def\tkz@LabelSegment[#1](#2,#3)#4{%
-\begingroup    
-\path  (#2) to node[above,#1]{#4} (#3) ;  
-\endgroup 
-} 
-%<--------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
-% multiple
-\def\tkz@multiLS#1 #2\@nil{%
- \protected@edef\tkz@temp{
-   \noexpand \tkzLabelSegment[\tkz@optls](#1){\tkz@labelseg}}\tkz@temp%
-   \def\tkz@nextArg{#2}%
-   \ifx\tkzutil@empty\tkz@nextArg
-     \let\next\@gobble
-   \fi
-   \next#2\@nil
-}
-%<--------------------------------------------------------------------------–>
-\def\tkzLabelSegments{\pgfutil@ifnextchar[{\tkz@LabelSegments}{%
-                                           \tkz@LabelSegments[]}}
-\def\tkz@LabelSegments[#1](#2)#3{% 
-\global\edef\tkz@optls{#1}
-\global\def\tkz@labelseg{#3}
-  \begingroup
-   \let\next\tkz@multiLS
-   \next#2 \@nil %    
-\endgroup 
-} 
-%<--------------------------------------------------------------------------–>
-%                                 PolySeg
-%<--------------------------------------------------------------------------–>
-\def\tkzDrawPolySeg{\pgfutil@ifnextchar[{\tkz@DrawPolySeg}{%
-                                         \tkz@DrawPolySeg[]}}
-\def\tkz@DrawPolySeg[#1](#2,#3){% 
-\begingroup
-\draw[#1] (#2) 
-    \foreach \tkz@pt in {#3}{--(\tkz@pt)};% 
-\endgroup
-}   
-\endinput
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-BB.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-BB.tex
new file mode 100644
index 00000000000..81b1bd4ed5f
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-BB.tex
@@ -0,0 +1,63 @@
+% tkz-tools-BB.tex
+% Copyright 2011 by Alain Matthes
+% This file may be distributed and/or modified
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c  tkz-obj-BB.tex}  
+\makeatletter
+%<--------------------------------------------------------------------------–>
+\pgfkeys{/@tkzClip/.cd, 
+space/.store in    = {\tkz@CLI@space},
+space    = {}} 
+
+\def\tkzClip{\pgfutil@ifnextchar[{\tkz@Clip}{\tkz@Clip[]}} 
+\def\tkz@Clip[#1]{%
+
+\pgfqkeys{/@tkzClip}{#1} 
+\ifx\tkzutil@empty\tkz@CLI@space
+    \clip (\tkz@xa,\tkz@ya) rectangle (\tkz@xb,\tkz@yb);
+ \else
+ \edef\tkz@xxa{\fpeval{\tkz@xa-\tkz@CLI@space}}
+ \edef\tkz@yya{\fpeval{\tkz@ya-\tkz@CLI@space}}
+ \edef\tkz@xxb{\fpeval{\tkz@xb+\tkz@CLI@space}} % correction bug 2020
+ \edef\tkz@yyb{\fpeval{\tkz@yb+\tkz@CLI@space}}
+  \clip (\tkz@xxa,\tkz@yya) rectangle (\tkz@xxb,\tkz@yyb);
+\fi
+} 
+%<--------------------------------------------------------------------------–>
+\def\tkzSetBB(#1)(#2){%
+  \pgfresetboundingbox
+   \path coordinate (tkz@SW) at (#1)
+         coordinate (tkz@NE) at (#2);
+  \path[use as bounding box](#1) rectangle (#2);
+  }
+%<--------------------------------------------------------------------------–>
+\def\tkzSaveBB{%
+\path coordinate (tkz@SW) at (current bounding box.north east)
+      coordinate (tkz@NE) at (current bounding box.south west);
+}
+%<--------------------------------------------------------------------------–>
+\def\tkzRestoreBB{%
+  \pgfresetboundingbox
+  \path[use as bounding box] (tkz@SW) rectangle (tkz@NE) ;
+}
+%<--------------------------------------------------------------------------–>
+\def\tkzShowBB{\pgfutil@ifnextchar[{\tkz@ShowBB}{\tkz@ShowBB[]}} 
+\def\tkz@ShowBB[#1]{%
+ \draw[#1]  (current bounding box.south west) rectangle 
+ 			(current bounding box.north east);
+}
+%<--------------------------------------------------------------------------–>
+\def\tkzClipBB{%
+\clip   (current bounding box.south west) rectangle 
+ 		(current bounding box.north east);
+}
+%<--------------------------------------------------------------------------–>
+\tikzset{tkzreverseclip/.style={insert path={%
+	(\tkz@xa,\tkz@ya) rectangle (\tkz@xb,\tkz@yb)}}}
+%todo add options
+%<--------------------------------------------------------------------------–>
+\makeatother
+\endinput
+\ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-arith.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-arith.tex
index 01e858d052a..296c53fe348 100644
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-arith.tex
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-arith.tex
@@ -1,27 +1,25 @@
+% tkz-tools-arith.tex
 % Copyright 2011 by Alain Matthes
-%
 % This file may be distributed and/or modified
-%
 % 1. under the LaTeX Project Public License and/or
 % 2. under the GNU Public License.
-
-
-\def\fileversion{1.161 d}
-\def\filedate{2018/09/19}  
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c tkz-tools-arith.tex}    
 % 1.161  test if "isfactor"   is already defined
-
+% now with pgf 3.0  gcd isprime isodd iseven are defined
 %<--------------------------------------------------------------------------–>
 % Objet :  tools for arithmetic 
 %<--------------------------------------------------------------------------–>
 %    [About integers numbers]
 %<--------------------------------------------------------------------------–>
-\ProvidesFile{tkz-tool-arith.tex}[tkz-tool-arith 1.161 d]
-\edef\tkzAtCode{\the\catcode`\@} 
-\catcode`\@=11\relax
+\ProvidesFile{tkz-tool-arith.tex}[tkz-tool-arith 3.00 c]
+% \edef\tkzAtCode{\the\catcode`\@}
+% \catcode`\@=11\relax
+\makeatletter
 %<--------------------------------------------------------------------------–>
 %                            arithmetic tools 
 %<--------------------------------------------------------------------------–>
-
 \tkzutil@ifundefined{pgfmath@function@gcd}{%
 \pgfmathdeclarefunction{gcd}{2}{%
  \begingroup%
@@ -51,10 +49,7 @@
 }
 }{} 
 %<--------------------------------------------------------------------------->
-
 \tkzutil@ifundefined{pgfmath@function@isprime}{%
-\newif\ifpgf@unknown
-\newif\ifpgf@isaprime    
 \pgfmathdeclarefunction{isprime}{1}{%
 	\begingroup%
 \pgf@unknowntrue
@@ -180,7 +175,6 @@
      \tkz@find@next
 }%
 %<--------------------------------------------------------------------------->
-%<--------------------------------------------------------------------------->
 \def\tkzReducFrac#1#2{% 
 \begingroup
 \ifnum#1<0\relax%
@@ -201,14 +195,12 @@
    \divide\c@pgfmath@counta by\c@pgfmath@countc%
    \divide\c@pgfmath@countb by\c@pgfmath@countc%
  \fi
-\global\edef\tkzMathFirstResult{\the\c@pgfmath@counta}
-\global\edef\tkzMathSecondResult{\the\c@pgfmath@countb} 
+\xdef\tkzMathFirstResult{\the\c@pgfmath@counta}
+\xdef\tkzMathSecondResult{\the\c@pgfmath@countb} 
 \endgroup}
 %<--------------------------------------------------------------------------->
-%<--------------------------------------------------------------------------->
-%<--------------------------------------------------------------------------->
-
-\catcode`\@=\tkzAtCode\relax 
+%\catcode`\@=\tkzAtCode\relax 
+\makeatother
 \endinput
 
 
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-base.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-base.tex
index ee7c879bd87..926ed2347e4 100644
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-base.tex
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-base.tex
@@ -3,698 +3,81 @@
 % This file may be distributed and/or modified
 % 1. under the LaTeX Project Public License and/or
 % 2. under the GNU Public License.
-
-
 %  utf8 encoding
-
-\def\fileversion{1.16 d}
-\def\filedate{2018/09/19}  
-
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23}  
+\typeout{2020/01/23 3.01c  tkz-tools-base.tex}   
+\makeatletter
 %<--------------------------------------------------------------------------–>
-\global\let\@xa\tkz@init@xmin
-\global\let\@xb\tkz@init@xmax
-\global\let\@ya\tkz@init@ymin
-\global\let\@yb\tkz@init@ymax 
+\global\let\tkz@tmp@xa\tkz@init@xmin% modif  2016
+\global\let\tkz@tmp@xb\tkz@init@xmax% modif  2016
+\global\let\tkz@tmp@ya\tkz@init@ymin% modif  2016
+\global\let\tkz@tmp@yb\tkz@init@ymax% modif  2016 
 %<--------------------------------------------------------------------------–>
-\gdef\xgrad{1}
-\gdef\ygrad{1}
-\gdef\tkz@xa{0}
-\gdef\tkz@xb{10}
-\gdef\tkz@ya{0}
-\gdef\tkz@yb{10}
-\newif\iftkz@init@NO
 \pgfkeys{
-  /tkzInit/.cd,
-  xmin/.code     = {\def\tkz@init@xmin{#1}},
-  xmax/.code     = {\def\tkz@init@xmax{#1}},
-  xstep/.code    = {\def\tkz@init@xstep{#1}},
-  ymin/.code     = {\def\tkz@init@ymin{#1}},
-  ymax/.code     = {\def\tkz@init@ymax{#1}},
-  ystep/.code    = {\def\tkz@init@ystep{#1}}, 
-  NO/.is if      = tkz@init@NO,
-  NO/.default    = true   } 
+         /@tkzInit/.cd,
+         xmin/.store in     = \tkz@init@xmin,
+         xmax/.store in     = \tkz@init@xmax,
+         xstep/.store in    = \tkz@init@xstep,
+         ymin/.store in     = \tkz@init@ymin,
+         ymax/.store in     = \tkz@init@ymax,
+         ystep/.store in    = \tkz@init@ystep, 
+         NO/.is if      	= tkz@init@NO,
+         NO/.default    	= true, 
+         xmin  				= 0,
+         xmax  				= 10,
+         xstep 				= 1,
+         ymin  				= 0,
+         ymax  				= 10,
+         ystep 				= 1,
+         NO    				= false 
+         } 
   
 \def\tkzInit{\pgfutil@ifnextchar[{\tkz@Init}{\tkz@Init[]}} 
 \def\tkz@Init[#1]{%
-\pgfkeys{/tkzInit/.cd,
-         xmin  = 0,
-         xmax  = 10,
-         xstep = 1,
-         ymin  = 0,
-         ymax  = 10,
-         ystep = 1,
-         NO    = false 
-}  
-  \pgfqkeys{/tkzInit}{#1}
+  	\pgfqkeys{/@tkzInit}{#1}
   \ifx\tkzfctloaded\undefined
     \else   
-   \tkz@tkzf@fct=0 %  only if tkz-fct loaded
+   		\tkz@tkzf@fct=0 %  only if tkz-fct loaded
    \fi   
   \xdef\tkz@init@xorigine{0}
   \xdef\tkz@init@yorigine{0}
-  \FPsgn\@xsgmin{\tkz@init@xmin}
-  \FPsgn\@xsgmax{\tkz@init@xmax}
-  \FPsgn\@ysgmin{\tkz@init@ymin}
-  \FPsgn\@ysgmax{\tkz@init@ymax}
-  \global\let\@xa\tkz@init@xmin
-  \global\let\@xb\tkz@init@xmax
-  \global\let\@ya\tkz@init@ymin
-  \global\let\@yb\tkz@init@ymax
-   \tkz@init@NOfalse  
+  \edef\@xsgmin{\fpeval{sign(\tkz@init@xmin)}}
+  \edef\@xsgmax{\fpeval{sign(\tkz@init@xmax)}}
+  \edef\@ysgmin{\fpeval{sign(\tkz@init@ymin)}}
+  \edef\@ysgmax{\fpeval{sign(\tkz@init@ymax)}}
+  \let\tkz@tmp@xa\tkz@init@xmin	%modif 2016
+  \let\tkz@tmp@xb\tkz@init@xmax	%modif 2016
+  \let\tkz@tmp@ya\tkz@init@ymin	%modif 2016
+  \let\tkz@tmp@yb\tkz@init@ymax	%modif 2016
+  \tkz@init@NOfalse                  	
   \ifx\@xsgmin\@xsgmax \tkz@init@NOtrue \fi
-  \ifx\@ysgmin\@ysgmax \tkz@init@NOtrue  \fi
+  \ifx\@ysgmin\@ysgmax \tkz@init@NOtrue \fi
   \iftkz@init@NO%
   \ifx\@xsgmin\@xsgmax
-    \FPadd{\tkz@init@xmax}{\tkz@init@xmax}{-\tkz@init@xmin}%
-    \edef\tkz@init@xorigine{\tkz@init@xmin}
-    \edef\tkz@init@xmin{0}
+      \edef\tkz@init@xmax{\fpeval{\tkz@init@xmax-\tkz@init@xmin}}
+    	\edef\tkz@init@xorigine{\tkz@init@xmin}
+    	\edef\tkz@init@xmin{0}
   \fi
-
   \ifx\@ysgmin\@ysgmax
-    \FPadd{\tkz@init@ymax}{\tkz@init@ymax}{-\tkz@init@ymin}%
-    \edef\tkz@init@yorigine{\tkz@init@ymin}
-    \edef\tkz@init@ymin{0}
+      \edef\tkz@init@ymax{\fpeval{\tkz@init@ymax-\tkz@init@ymin}}
+    	\edef\tkz@init@yorigine{\tkz@init@ymin}
+    	\edef\tkz@init@ymin{0}
   \fi
   \fi
-  \FPdiv{\tkz@xa}{\tkz@init@xmin}{\tkz@init@xstep}
-  \FPdiv{\tkz@xb}{\tkz@init@xmax}{\tkz@init@xstep}
-  \FPdiv{\tkz@ya}{\tkz@init@ymin}{\tkz@init@ystep}
-  \FPdiv{\tkz@yb}{\tkz@init@ymax}{\tkz@init@ystep}
+  \edef\tkz@xa{\fpeval{\tkz@init@xmin/\tkz@init@xstep}}
+  \edef\tkz@xb{\fpeval{\tkz@init@xmax/\tkz@init@xstep}}
+  \edef\tkz@ya{\fpeval{\tkz@init@ymin/\tkz@init@ystep}}
+  \edef\tkz@yb{\fpeval{\tkz@init@ymax/\tkz@init@ystep}}
   \tkz@getdecimal{\tkz@init@xstep} % amélioration nb dec et integer
-  \global\edef\tkz@init@xdec{\number\c@pgfmath@countb}
+  \xdef\tkz@init@xdec{\number\c@pgfmath@countb}
   \tkz@getdecimal{\tkz@init@ystep}
-  \global\edef\tkz@init@ydec{\number\c@pgfmath@countb} 
+  \xdef\tkz@init@ydec{\number\c@pgfmath@countb}
 }%
-%<--------------------------------------------------------------------------–>
-\pgfkeys{Clip/.cd, space/.code     = {\def\tkz@CLI@space{#1}}} 
-
-\def\tkzClip{\pgfutil@ifnextchar[{\tkz@Clip}{\tkz@Clip[]}} 
-\def\tkz@Clip[#1]{%
-\pgfkeys{Clip/.cd,space    = {}} 
-\pgfqkeys{/Clip}{#1} 
-\ifx\tkzutil@empty\tkz@CLI@space
-    \clip (\tkz@xa,\tkz@ya) rectangle (\tkz@xb,\tkz@yb);
- \else
-    \FPadd{\tkz@xxa}{\tkz@xa}{-\tkz@CLI@space}
-    \FPadd{\tkz@yya}{\tkz@ya}{-\tkz@CLI@space}
-    \FPadd{\tkz@xxb}{\tkz@xb}{\tkz@CLI@space}
-    \FPadd{\tkz@yyb}{\tkz@yb}{\tkz@CLI@space} 
-    \clip (\tkz@xxa,\tkz@yya) rectangle (\tkz@xxb,\tkz@yyb);
-\fi
-} 
-%todo add options
-%<--------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–> 
-\def\tkz@showgrad#1{%
-\FPifint{#1}\FPtrunc\tkz@result{#1}{0}\else\FPset\tkz@result{#1}\fi}%
-
-\def\tkz@Xresult{%
-\tkz@showgrad{\xgrad}%
- $\numprint{\tkz@result}$%
-}%
-%<--------------------------------------------------------------------------–>
-\def\tkz@Yresult{%
-\tkz@showgrad{\ygrad}%
-$\numprint{\tkz@result}$
-}% 
-%<--------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
-\def\tkz@Xshowgradresult{% 
-\iftkz@X@orig
-\tkz@Xresult% 
-\else % orig 
-       \iftkz@init@NO% 
-          \unless\ifx\tkz@pos\tkz@posmin
-          \tkz@Xresult\fi
-       \else % NO  
-         \unless\ifx\tkz@pos\x@tkzero%
-         \tkz@Xresult
-         \fi%end of x@tkzero
-      \fi%end of NO
-\fi%end of orig
-}%
-%<--------------------------------------------------------------------------–>
-\def\tkz@Yshowgradresult{% 
-\iftkz@Y@orig
-\tkz@Yresult%
-\else % orig 
-     \iftkz@init@NO%
-        \unless\ifx\tkz@pos\tkz@posmin
-        \tkz@Yresult\fi
-      \else % NO
-        \unless\ifx\tkz@pos\y@tkzero%
-        \tkz@Yresult
-       \fi%end of x@tkzero
-    \fi%end of NO
-\fi%end of orig
-}%
-%<--------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
-\def\tkz@Xshowgrad{% 
-\iftkz@X@orig
-\tkzprintfrac% 
-\else % orig 
-       \iftkz@init@NO% 
-          \unless\ifx\tz@pos\tkz@posmin
-          \tkzprintfrac\fi
-       \else % NO  
-         \unless\ifx\tz@pos\x@tkzero%
-         \tkzprintfrac
-         \fi%end of x@tkzero
-      \fi%end of NO
-\fi%end of orig
-}%
-%<--------------------------------------------------------------------------–>
-\def\tkz@Yshowgrad{% 
-\iftkz@Y@orig
-\tkzprintfrac%
-\else % orig 
-     \iftkz@init@NO%
-        \unless\ifx\tz@pos\tkz@posmin
-        \tkzprintfrac\fi
-      \else % NO
-        \unless\ifx\tz@pos\y@tkzero%
-        \tkzprintfrac
-       \fi%end of x@tkzero
-    \fi%end of NO
-\fi%end of orig
-}%
-
-%<--------------------------------------------------------------------------–>
-%              Setup   axe
-%<--------------------------------------------------------------------------–>
-\pgfkeys{tkzaxis/.cd,
-line width/.code         = {\global\edef\tkz@sua@lw{#1}},
-color/.code              = {\global\edef\tkz@sua@color{#1}},
-tickwd/.code             = {\global\edef\tkz@sua@tickwd{#1}},
-ticka/.code              = {\global\edef\tkz@sua@ticka{#1}},
-tickb/.code              = {\global\edef\tkz@sua@tickb{#1}}
-} 
-
-\def\tkzSetUpAxis{\pgfutil@ifnextchar[{\tkz@SetUpAxis}{\tkz@SetUpAxis[]}} 
-\def\tkz@SetUpAxis[#1]{%
-\begingroup
- \pgfkeys{/tkzaxis/.cd,
- line width  = \tkz@init@lw,
- color       = \tkz@init@color,
- tickwd      = \tkz@init@tickwd,
- ticka       = \tkz@init@ticka,
- tickb       = \tkz@init@tickb
- }
-\pgfqkeys{/tkzaxis}{#1}
-\global\let\tkz@init@lw\tkz@sua@lw
-\global\let\tkz@init@gradsize\tkz@sua@gradsize 
-\global\let\tkz@init@color\tkz@sua@color 
-\global\let\tkz@init@tickwd\tkz@sua@tickwd 
-\global\let\tkz@init@ticka\tkz@sua@ticka 
-\global\let\tkz@init@tickb\tkz@sua@tickb  
-\endgroup}
-%<--------------------------------------------------------------------------–>
-%                 tkzDrawX      todo améliorer les unités
-%<--------------------------------------------------------------------------–>
-\pgfkeys{%     prob avec space
-tkzdrawX/.cd,
-color/.code                = {\global\def\tkz@X@color{#1}},
-label/.code                = {\global\def\tkz@X@label{#1}}, 
-right space/.code          = {\global\def\tkz@axe@rxspace{#1}}, 
-left space/.code           = {\global\def\tkz@axe@lxspace{#1}},
-noticks/.is if             = tkz@X@noticks,
-noticks/.default           = true, 
-trig/.code                 = {\global\def\tkz@X@trig{#1}},    
-step/.code                 = {\FPeval\tkz@posnext{#1}},  
-tickwd/.code               = {\global\def\tkz@X@tickwd{#1}},
-tickup/.code               = {\global\def\tkz@X@tickup{#1}},
-tickdn/.code               = {\global\def\tkz@X@tickdn{#1}},   
-/tkzdrawX/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                              \pgfkeysalso{\searchname/.try=#1,
-                               /tikz/\searchname/.retry=#1}}}
-                                     
-\def\tkzDrawX{\pgfutil@ifnextchar[{\tkz@DrawX}{\tkz@DrawX[]}}
-\def\tkz@DrawX[#1]{
-\begingroup%
-\pgfkeys{/tkzdrawX/.cd,
-color       = \tkz@init@color,
-label       = \tkz@init@xlabel,
-trig        = 0,
-step        = \tkz@init@xstep,
-right space = \tkz@init@rightspace,
-left space  = \tkz@init@leftspace,
-noticks     = false,
-tickwd      = \tkz@init@tickwd,
-tickup      = \tkz@init@ticka,
-tickdn      = \tkz@init@tickb}
-\pgfqkeys{/tkzdrawX}{#1}
-\FPtrunc\tkz@posmax{\tkz@xb}{\tkz@init@xdec}
-\FPtrunc\tkz@posmin{\tkz@xa}{\tkz@init@xdec}
-\FPadd\tkz@xbsup{\tkz@xb}{\tkz@axe@rxspace}
-\FPadd\tkz@xainf{\tkz@xa}{-\tkz@axe@lxspace}
-\path (\tkz@xainf,0)--(\tkz@xbsup,0) node(tkz@xline){};
-\draw[xaxe style,
-      color = \tkz@X@color, 
-      /tkzdrawX/.cd, #1] (\tkz@xainf,0)--(\tkz@xbsup,0)
-      node[xlabel style, /tkzdrawX/.cd, #1]{\tkz@X@label};
- \iftkz@X@noticks
- \else 
-  \ifnum\tkz@X@trig=0
-   \FPtrunc\tkz@posmax{\tkz@posmax}{\tkz@init@xdec}%
-   \FPdiv\tkz@posnext{\tkz@posnext}{\tkz@init@xstep}
-   \FPadd\tz@posnext{\tkz@posmin}{\tkz@posnext}
-   \foreach \tz@pos in {\tkz@posmin,\tz@posnext,...,\tkz@posmax}{% 
-     \draw[color = \tkz@X@color,
-           line width = \tkz@X@tickwd,
-           shift      = {(\tz@pos,0)}]%
-           (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn);} 
-    \else
-       \FPadd{\tkz@posmin}{\tkz@posmin}{.5}% 
-       \FPdiv\tkz@posmax{\tkz@posmax}{\FPpi}%
-        \FPmul\tkz@posmax{\tkz@posmax}{\tkz@X@trig}% 
-        \FPdiv\tkz@posmin{\tkz@posmin}{\FPpi}%
-        \FPmul\tkz@posmin{\tkz@posmin}{\tkz@X@trig}%
-        \FPround\tkz@posmin{\tkz@posmin}{0}% 
-        \foreach \tz@pos in {\tkz@posmin,...,\tkz@posmax}{% 
-           \FPmul\tz@pospi{\tz@pos}{\FPpi}
-           \FPdiv\tz@pospi{\tz@pospi}{\tkz@X@trig}%
-           \draw[color = \tkz@X@color,
-                 line width = \tkz@X@tickwd,%
-                 shift      = {(\tz@pospi,0)}]%
-           (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn);
-         }% end foreach
-         \fi
- \fi
-\endgroup}
-%<--------------------------------------------------------------------------–>
-\pgfkeys{%     prob avec space
-tkzAxeX/.cd,
-color/.code                 = {\def\tkz@X@color{#1}},
-label/.code                 = {\global\def\tkz@X@label{#1}},
-frac/.code                  = {\def\tkzX@frac{#1}},
-trig/.code                  = {\def\tkzX@trig{#1}},
-/tkzAxeX/.unknown/.code     = {\let\searchname=\pgfkeyscurrentname
-                               \pgfkeysalso{\searchname/.try=#1,
-                               /tikz/\searchname/.retry=#1}}} 
-                                
-\def\tkzAxeX{\pgfutil@ifnextchar[{\tkz@AxeX}{\tkz@AxeX[]}}
-\def\tkz@AxeX[#1]{%
-\begingroup  
-\tkzLabelX[#1] \tkzDrawX[#1] 
-\endgroup
-}
-
-
-%<--------------------------------------------------------------------------–>
-%                 tkzDrawY      todo améliorer les unités
-%<--------------------------------------------------------------------------–>
-\pgfkeys{%     prob avec space
-tkzdrawY/.cd,
-color/.code                = {\def\tkz@Y@color{#1}},
-label/.code                = {\def\tkz@Y@label{#1}}, 
-up space/.code             = {\global\def\tkz@axe@uyspace{#1}}, 
-down space/.code           = {\global\def\tkz@axe@dyspace{#1}},
-noticks/.is if             = tkz@Y@noticks,
-noticks/.default           = true,
-trig/.code                 = {\global\def\tkz@Y@trig{#1}},      
-step/.code                 = {\FPeval\tkz@posnext{#1}},  
-tickwd/.code               = {\global\def\tkz@Y@tickwd{#1}},
-ticklt/.code               = {\global\def\tkz@Y@ticklt{#1}},
-tickrt/.code               = {\global\def\tkz@Y@tickrt{#1}},   
-/tkzdrawY/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                              \pgfkeysalso{\searchname/.try=#1,
-                               /tikz/\searchname/.retry=#1}}}
-                                     
-\def\tkzDrawY{\pgfutil@ifnextchar[{\tkz@DrawY}{\tkz@DrawY[]}}
-\def\tkz@DrawY[#1]{%
-\begingroup
-\pgfkeys{/tkzdrawY/.cd,
-color       = \tkz@init@color,
-label       = \tkz@init@ylabel,
-trig        = 0,
-step        = \tkz@init@ystep,
-up space    = \tkz@init@upspace,
-down space  = \tkz@init@downspace,
-noticks     = false,
-tickwd      = \tkz@init@tickwd,
-ticklt      = \tkz@init@tickb,
-tickrt      = \tkz@init@ticka}
-\pgfqkeys{/tkzdrawY}{#1}
-\FPtrunc\tkz@posmax{\tkz@yb}{\tkz@init@ydec}
-\FPtrunc\tkz@posmin{\tkz@ya}{\tkz@init@ydec}
-\FPadd\tkz@ybsup{\tkz@yb}{\tkz@axe@uyspace}
-\FPadd\tkz@yainf{\tkz@ya}{-\tkz@axe@dyspace}
-\path (0,\tkz@yainf)--(0,\tkz@ybsup) node(tkz@yline){};
-\draw[color = \tkz@Y@color,
-      yaxe style,/tkzdrawY/.cd,#1] (0,\tkz@yainf)--(0,\tkz@ybsup)
-      node[ylabel style,/tkzdrawY/.cd,#1]{\tkz@Y@label};
- \iftkz@Y@noticks
- \else 
-   \ifnum\tkz@Y@trig=0   
-   \FPtrunc\tkz@posmax{\tkz@posmax}{\tkz@init@ydec}%
-   \FPdiv\tkz@posnext{\tkz@posnext}{\tkz@init@ystep}
-   \FPadd\tz@posnext{\tkz@posmin}{\tkz@posnext}
-   \foreach \tz@pos in {\tkz@posmin,\tz@posnext,...,\tkz@posmax}{% 
-     \draw[color = \tkz@Y@color,
-           line width = \tkz@Y@tickwd,
-           shift       = {(0,\tz@pos)}]% 
-            (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt);}
-         \else
-       \FPadd{\tkz@posmin}{\tkz@posmin}{.5}% 
-       \FPdiv\tkz@posmax{\tkz@posmax}{\FPpi}%
-        \FPmul\tkz@posmax{\tkz@posmax}{\tkz@Y@trig}% 
-        \FPdiv\tkz@posmin{\tkz@posmin}{\FPpi}%
-        \FPmul\tkz@posmin{\tkz@posmin}{\tkz@Y@trig}%
-        \FPround\tkz@posmin{\tkz@posmin}{0}% 
-        \foreach \tz@pos in {\tkz@posmin,...,\tkz@posmax}{% 
-           \FPmul\tz@pospi{\tz@pos}{\FPpi}
-           \FPdiv\tz@pospi{\tz@pospi}{\tkz@Y@trig}%
-           \draw[color = \tkz@Y@color,
-                line width = \tkz@Y@tickwd,%
-                          shift      = {(0,\tz@pospi)}]%
-           (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt);
-         }% end foreach
-         \fi     
- \fi        
-\endgroup}
-%<--------------------------------------------------------------------------->
-\newif\iftkz@np 
-\pgfkeys{%     prob avec space
-tkzlabelX/.cd,
-frac/.code                  = {\def\tkz@X@frac{#1}},
-trig/.code                  = {\def\tkz@X@trig{#1}},  
-step/.code                  = {\def\tkz@posnext{#1}},
-label options/.code         = {\def\cmd@X@option{#1}},
-np off/.is if               = tkz@np,
-np off/.default             = true,
-orig/.is if                 = tkz@X@orig,
-orig/.default               = false,
-tickwd/.code                = {\global\def\tkz@X@tickwd{#1}},
-tickup/.code                = {\global\def\tkz@X@tickup{#1}},
-tickdn/.code                = {\global\def\tkz@X@tickdn{#1}},   
-/tkzlabelX/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                              \pgfkeysalso{\searchname/.try=#1,
-                               /tikz/\searchname/.retry=#1}}}  
-                               \def\tkzLabelX{\pgfutil@ifnextchar[{\tkz@LabelX}{\tkz@LabelX[]}}
-\def\tkz@LabelX[#1]{% 
-\begingroup
-\pgfkeys{/tkzlabelX/.cd,
-frac          = 0,
-trig          = 0,
-step          = \tkz@init@xstep,
-np off        = false,
-orig          = true,
-label options = {},
-tickwd        = \tkz@init@tickwd,
-tickup        = \tkz@init@ticka,
-tickdn        = \tkz@init@tickb}  
-\pgfqkeys{/tkzlabelX}{#1}
-\iftkz@np\let\numprint@saved\numprint %
-\let\numprint\relax\fi %    
-
-\FPtrunc\tkz@posmin{\tkz@xa}{\tkz@init@xdec}% 
-\FPtrunc\tkz@posmax{\tkz@xb}{\tkz@init@xdec}%
-\FPtrunc\x@tkzero{0.0000000}{\tkz@init@xdec}% 
-
-\ifnum\tkz@X@frac=0 %
-  \ifnum\tkz@X@trig=0 % affichage normal
-   \FPdiv\tz@posnext{\tkz@posnext}{\tkz@init@xstep}
-   \FPadd\tz@posnext{\tkz@posmin}{\tz@posnext}      
-   \foreach \tz@pos in {\tkz@posmin,\tz@posnext,...,\tkz@posmax}{%
-     \FPtrunc\tkz@pos{\tz@pos}{\tkz@init@xdec}%
-     \FPmul{\xgrad}{\tz@pos}{\tkz@init@xstep}%
-     \FPadd{\xgrad}{\xgrad}{\tkz@init@xorigine}%
-     \FPtrunc\xgrad{\xgrad}{\tkz@init@xdec}%
-     \protected@edef\tkz@temp{%
-     \noexpand\path[shift = {(\tz@pos,0)}]
-     (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn)%
-     node[xlabel style,%
-          fill = \tkz@fillcolor,
-                 \cmd@X@option]}\tkz@temp{\tkz@Xshowgradresult}; 
-}% 
-  \else% trig > 0  
-     \FPadd{\tkz@posmin}{\tkz@posmin}{.5}%
-     \FPdiv\tkz@posmax{\tkz@posmax}{\FPpi}%
-     \FPmul\tkz@posmax{\tkz@posmax}{\tkz@X@trig}% 
-     \FPdiv\tkz@posmin{\tkz@posmin}{\FPpi}%
-     \FPmul\tkz@posmin{\tkz@posmin}{\tkz@X@trig}%
-     \FPround\tkz@posmin{\tkz@posmin}{0}% 
-     \foreach \tz@pos in {\tkz@posmin,...,\tkz@posmax}{% 
-        \tkzPrintFracWithPi{\tz@pos}{\tkz@X@trig}
-        \FPmul\tz@pospi{\tz@pos}{\FPpi}
-        \FPdiv\tz@pospi{\tz@pospi}{\tkz@X@trig}%
-        \protected@edef\tkz@temp{%
-        \noexpand\path[shift      = {(\tz@pospi,0)}]%
-        (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn)%
-           node[xlabel style,
-                text height = 8pt,
-                fill        = \tkz@fillcolor,
-                              \cmd@X@option]}\tkz@temp{\tkz@Xshowgrad};% 
-      }% end foreach   
-    \fi
-\else% frac > 0  
-\FPround\tkz@posmin{\tkz@posmin}{0}%  
-   \foreach \tz@pos in {\tkz@posmin,...,\tkz@posmax}{%
-    \tkzPrintFrac{\tz@pos}{\tkz@X@frac}% 
-        \protected@edef\tkz@temp{%
-        \noexpand\path[shift      = {(\tz@pos,0)}]%
-          (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn)%
-          node[xlabel style,
-               text height = 8pt,
-               fill        = \tkz@fillcolor,
-                             \cmd@X@option]}\tkz@temp{\tkz@Xshowgrad}%
-   ;%    
-  }% end foreach  
-\fi
- \iftkz@np\let\numprint\numprint@saved \fi%      
-\endgroup
-} 
-
-%<--------------------------------------------------------------------------->
-\pgfkeys{%     prob avec space
-tkzticksY/.cd,
-frac/.code                  = {\def\tkz@Y@frac{#1}},
-trig/.code                  = {\def\tkz@Y@trig{#1}},  
-step/.code                  = {\def\tkz@posnext{#1}},
-label options/.code         = {\def\cmd@Y@option{#1}}, 
-np off/.is if               = tkz@np,
-np off/.default             = true,
-orig/.is if                 = tkz@Y@orig,
-orig/.default               = false,
-tickwd/.code               = {\global\def\tkz@Y@tickwd{#1}},
-ticklt/.code               = {\global\def\tkz@Y@ticklt{#1}},
-tickrt/.code               = {\global\def\tkz@Y@tickrt{#1}},      
-/tkzticksY/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                              \pgfkeysalso{\searchname/.try=#1,
-                               /tikz/\searchname/.retry=#1}}}  
-                               \def\tkzLabelY{\pgfutil@ifnextchar[{\tkz@LabelY}{\tkz@LabelY[]}}
-\def\tkz@LabelY[#1]{%
-\begingroup
-\pgfkeys{/tkzticksY/.cd,
-frac          = 0,
-trig          = 0,
-step          = \tkz@init@ystep,
-np off        = false,  
-orig          = true,  
-label options = {},
-tickwd        = \tkz@init@tickwd,
-ticklt        = \tkz@init@tickb,
-tickrt        = \tkz@init@ticka} 
-\pgfqkeys{/tkzticksY}{#1}
-\iftkz@np\let\numprint@saved\numprint %
-\let\numprint\relax\fi % 
-
-\FPtrunc\tkz@posmin{\tkz@ya}{\tkz@init@ydec}% 
-\FPtrunc\tkz@posmax{\tkz@yb}{\tkz@init@ydec}%
-\FPtrunc\y@tkzero{0.0000000}{\tkz@init@ydec}% 
-
-\ifnum\tkz@Y@frac=0
-  \ifnum\tkz@Y@trig=0 % affichage normal    
-   \FPdiv\tz@posnext{\tkz@posnext}{\tkz@init@ystep}
-   \FPadd\tz@posnext{\tkz@posmin}{\tz@posnext}      
-   \foreach \tz@pos in {\tkz@posmin,\tz@posnext,...,\tkz@posmax}{%
-     \FPtrunc\tkz@pos{\tz@pos}{\tkz@init@ydec}%
-     \FPmul{\ygrad}{\tz@pos}{\tkz@init@ystep}%
-     \FPadd{\ygrad}{\ygrad}{\tkz@init@yorigine}%
-     \FPtrunc\ygrad{\ygrad}{\tkz@init@ydec}%
-     \protected@edef\tkz@temp{%
-     \noexpand\path[shift = {(0,\tz@pos)}]%
-        (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt)%
-        node[ylabel style, 
-             fill  = \tkz@fillcolor,
-                     \cmd@Y@option]}\tkz@temp{\tkz@Yshowgradresult};
-}
-  \else% trig > 0  
-     \FPadd{\tkz@posmin}{\tkz@posmin}{.5}%
-     \FPdiv\tkz@posmax{\tkz@posmax}{\FPpi}%
-     \FPmul\tkz@posmax{\tkz@posmax}{\tkz@Y@trig}% 
-     \FPdiv\tkz@posmin{\tkz@posmin}{\FPpi}%
-     \FPmul\tkz@posmin{\tkz@posmin}{\tkz@Y@trig}%
-     \FPround\tkz@posmin{\tkz@posmin}{0}% 
-     \foreach \tz@pos in {\tkz@posmin,...,\tkz@posmax}{% 
-        \tkzPrintFracWithPi{\tz@pos}{\tkz@Y@trig}
-        \FPmul\tz@pospi{\tz@pos}{\FPpi}
-        \FPdiv\tz@pospi{\tz@pospi}{\tkz@Y@trig}%
-        \protected@edef\tkz@temp{%
-        \noexpand\path[shift      = {(0,\tz@pospi)}]%
-             (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt)%
-             node[ylabel style,
-                  text height  = 8pt,
-                  fill         = \tkz@fillcolor,
-                  \cmd@Y@option]}\tkz@temp{\tkz@Yshowgrad};% 
-      }% end foreach   
-    \fi    
-\else% frac > 0  
-\FPround\tkz@posmin{\tkz@posmin}{0}%
-  \foreach \tz@pos in {\tkz@posmin,...,\tkz@posmax}{%
-    \tkzPrintFrac{\tz@pos}{\tkz@Y@frac}% 
-        \protected@edef\tkz@temp{%
-        \noexpand\path[shift      = {(0,\tz@pos)}]%
-          (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt)%
-          node[ylabel style,
-               text height   = 8pt,
-               fill          = \tkz@fillcolor,
-                               \cmd@Y@option]}\tkz@temp{\tkz@Yshowgrad}%
-   ;% 
-  }% end foreach
-\fi
- \iftkz@np\let\numprint\numprint@saved \fi%      
-\endgroup} 
-%<--------------------------------------------------------------------------–>
-\def\tkzAxeY{\pgfutil@ifnextchar[{\tkz@AxeY}{\tkz@AxeY[]}}
-\def\tkz@AxeY[#1]{%
-\begingroup
- \tkzDrawY[#1] \tkzLabelY[#1]   
-\endgroup}
-%<-------------------------------------------------------------------------->
-\newif\if@tkz@swap
-\pgfkeys{%     prob avec space
-  tkzAxeXY/.cd,
-  swap/.is if     = @tkz@swap,
-  swap/.default   = true,
-  /tkzAxeXY/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                              \pgfkeysalso{\searchname/.try=#1,
-                               /tikz/\searchname/.retry=#1}}}  
-  
-\def\tkzAxeXY{\pgfutil@ifnextchar[{\tkzAxe@XY}{\tkzAxe@XY[]}}  
-\def\tkzAxe@XY[#1]{%
-\pgfkeys{
-  /tkzAxeXY/.cd,
-  swap        = false}
-\pgfqkeys{/tkzAxeXY}{#1}   
-\if@tkz@swap
-\tkzLabelX[#1]\tkzLabelY[#1]\tkzDrawX[#1]\tkzDrawY[#1]
-\else
-\tkzDrawX[#1]\tkzDrawY[#1]\tkzLabelX[#1]\tkzLabelY[#1]
-\fi}
-\def\tkzDrawXY{\pgfutil@ifnextchar[{\tkzDraw@XY}{\tkzDraw@XY[]}} 
-\def\tkzDraw@XY[#1]{\tkzDrawX[#1]\tkzDrawY[#1]} 
-\def\tkzLabelXY{\pgfutil@ifnextchar[{\tkzLabel@XY}{\tkzLabel@XY[]}}
-\def\tkzLabel@XY[#1]{\tkzLabelX[#1]\tkzLabelY[#1]}     
-%<--------------------------------------------------------------------------–>
-%                                grid
-%<--------------------------------------------------------------------------–>
-\newif\if@tkz@gd@sub 
-\def\tkzRatioLineGrid{0.75} 
-\def\tkz@gd@sublw{0.4 pt} 
-
-
-\pgfkeys{
-  /tkzGrid/.cd,
-  color/.code      = {\def\tkz@gd@color{#1}%
-                      \edef\tkz@gd@subcolor{%
-                      \tkz@gd@color!\tkzCoeffSubColor}},
-  subxstep/.code   = {\def\tkz@gd@subxstep{#1}},
-  subystep/.code   = {\def\tkz@gd@subystep{#1}},
-    ratio/.code   = {\def\tkz@gd@ratio{#1}},
-  line width/.code = {\edef\tkz@gd@lw{#1}
-                      \edef\tkz@gd@sublw{\tkz@gd@ratio\tkz@gd@lw}},
-  sub/.is if       = @tkz@gd@sub,
-  sub/.default     = true ,
-    /tkzGrid/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                              \pgfkeysalso{\searchname/.try=#1,
-                               /tikz/\searchname/.retry=#1}}} 
-                               
-\def\tkzGrid{\pgfutil@ifnextchar[{\tkz@Grid}{\tkz@Grid[]}}
-\def\tkz@Grid[#1]{\@ifnextchar({\tkz@@Grid[#1]}%
-                               {\tkz@@Grid[#1](\@xa,\@ya)(\@xb,\@yb)}}
-\def\tkz@@Grid[#1](#2,#3)(#4,#5){%
-\pgfkeys{
-  /tkzGrid/.cd,
-  sub        = false,
-  color      = \tkz@grid@color,
-  ratio    = 0.75, 
-  subxstep   = \tkz@grid@xstep,
-  subystep   = \tkz@grid@ystep,
-  line width = \tkz@grid@lw}
-  \pgfqkeys{/tkzGrid}{#1}   
-    \begingroup
-    \FPadd{\tkz@gxa}{#2}{-\tkz@init@xorigine}
-    \FPadd{\tkz@gxb}{#4}{-\tkz@init@xorigine}
-    \FPadd{\tkz@gya}{#3}{-\tkz@init@yorigine}
-    \FPadd{\tkz@gyb}{#5}{-\tkz@init@yorigine}
-    \FPdiv{\tkz@gxa}{\tkz@gxa}{\tkz@init@xstep}
-    \FPdiv{\tkz@gya}{\tkz@gya}{\tkz@init@ystep}
-    \FPdiv{\tkz@gxb}{\tkz@gxb}{\tkz@init@xstep}
-    \FPdiv{\tkz@gyb}{\tkz@gyb}{\tkz@init@ystep}
-    \if@tkz@gd@sub% 
-      \FPeval\@subxstep{\tkz@gd@subxstep/\tkz@init@xstep}%
-      \FPeval\@subystep{\tkz@gd@subystep/\tkz@init@ystep}%
-      \draw [xstep      = \@subxstep cm,%
-             ystep      = \@subystep cm,%
-             color      = \tkz@gd@subcolor,%
-             line width = \tkzRatioLineGrid]%
-             (\tkz@gxa,\tkz@gya) grid (\tkz@gxb,\tkz@gyb);%
-    \fi
-    \draw [color      = \tkz@gd@color,%
-           line width = \tkz@gd@lw]%
-           (\tkz@gxa,\tkz@gya) grid (\tkz@gxb,\tkz@gyb);%
-    \endgroup
-}%
-%<--------------------------------------------------------------------------–>
-%                                repère
-%<--------------------------------------------------------------------------–>
-
-\newif\iftkz@Rep@orig
-\pgfkeys{
-  /tkzRep/.cd,
-  line width/.code = {\def\tkz@Rep@lw{#1}},
-  xlabel/.code     = {\def\tkz@Rep@xlabel{#1}},
-  ylabel/.code     = {\def\tkz@Rep@ylabel{#1}},
-  posxlabel/.code  = {\def\tkz@Rep@posxlabel{#1}},
-  posylabel/.code  = {\def\tkz@Rep@posylabel{#1}},
-  xnorm/.code      = {\def\tkz@Rep@xnorm{#1}}, 
-  ynorm/.code      = {\def\tkz@Rep@ynorm{#1}},
-  color/.code      = {\def\tkz@Rep@color{#1}},
-  colorlabel/.code = {\def\tkz@Rep@colorlabel{#1}}}
-  % /tkzRep/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-  %                             \pgfkeysalso{\searchname/.try=#1,
-  %                              /tikz/\searchname/.retry=#1}}}   
-%<--------------------------------------------------------------------------–>
-\def\tkzRep{\pgfutil@ifnextchar[{\tkz@Rep}{%
-                                 \tkz@Rep[]}} 
-\def\tkz@Rep[#1]{%
-\pgfkeys{
- /tkzRep/.cd, 
-line width         = \tkz@sur@lw,
-xlabel      = $\vec{\imath}$,
-ylabel      = $\vec{\jmath}$,
-posxlabel   = {\tkz@sur@posxlabel}, 
-posylabel   = {\tkz@sur@posylabel},
-xnorm       = 1,
-ynorm       = 1,
-color       = \tkz@sur@color,% remove ?
-colorlabel  = \tkz@sur@colorlabel}% remove ? 
-\pgfqkeys{/tkzRep}{#1} 
-\begingroup
-  \protected@edef\tkz@temp{%  
-  \noexpand\draw [line width=\tkz@Rep@lw,color=\tkz@Rep@color,rep style]%
-  (0,0) to node[\tkz@Rep@posylabel,color = \tkz@Rep@colorlabel]}\tkz@temp%
-      {\tkz@Rep@ylabel}(0,\tkz@Rep@ynorm);
-  \protected@edef\tkz@temp{%
-  \noexpand \draw [line width=\tkz@Rep@lw,color=\tkz@Rep@color,rep style]%
-   (0,0) to  node[\tkz@Rep@posxlabel,color = \tkz@Rep@colorlabel]}\tkz@temp%
-      {\tkz@Rep@xlabel}(\tkz@Rep@xnorm,0);  
-\endgroup 
-} 
 \def\tkzAddName{\pgfutil@ifnextchar[{\tkz@AddName}{\tkz@AddName[]}} 
 \def\tkz@AddName[#1]#2{%
 \node[above left,#1] at (\pgf@path@lastx,\pgf@path@lasty){#2};  
 }% 
+%<--------------------------------------------------------------------------–>
+\makeatother 
 \endinput
 \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-math.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-math.tex
index a4f46d22378..c6579e09029 100644
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-math.tex
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-math.tex
@@ -1,223 +1,15 @@
+% tkz-tools-math.tex
 % Copyright 2011 by Alain Matthes
-%
 % This file may be distributed and/or modified
-%
 % 1. under the LaTeX Project Public License and/or
 % 2. under the GNU Public License.
-
-
-\def\fileversion{1.16 d}
-\def\filedate{2018/09/19}  
-
-
-
-% Objet :  outils mathématiques pour la géométrie euclideienne avec pgf/tikz
-% utilisable de préférence avec un repère orthonormé et le cm comme unité 
-% utile pour la compatibilité avec pgf 2
-%<--------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
-%             Duplicate Length      à revoir pas de pt pas de global
-% ||v(CN)||= ||v(AB)|| et v(CN) colineaire à v(CD) 
-% A-->#1 B-->#2 C-->#3 D-->#4 N-->#5   ?????
-%<--------------------------------------------------------------------------–>
-\def\tkzDuplicateLen(#1,#2)(#3,#4){%
-\begingroup 
-    \tkzCalcLength(#1,#2)\tkzGetLength{tkz@firstlen}% 
-    \tkzCalcLength(#3,#4)\tkzGetLength{tkz@secondlen}%
-    \FPdiv\tkz@ratio{\tkz@firstlen}{\tkz@secondlen}%
-    \tkz@VecKCoLinear[\tkz@ratio](#3,#4,#3){tkzPointResult}%
-\endgroup 
-}
-\let\tkzDuplicateSegment\tkzDuplicateLen     %<--------------------------------------------------------------------------–>
-%                    Coordonnées d'un vecteur  (couple de points)  
-% Deux points A et B donc un vecteur on récupère les coordonnées de v(AB)
-% en cm 
-% tkzGetVecCoord en cm ou en pt ???
-%<--------------------------------------------------------------------------–>
-%result in #3x et #3y #1 et #2 sont les points  
-% passage en cm avec fp ? 
-\def\tkzGetVectxy(#1,#2)#3{%
-\begingroup 
-\pgfpointdiff{\pgfpointanchor{#1}{center}}%
-             {\pgfpointanchor{#2}{center}}%
-\pgfmathparse{\pgf@sys@tonumber{\pgf@x}/28.45274}%
-\global\let\tkzresultx\pgfmathresult
-\pgfmathparse{\pgf@sys@tonumber{\pgf@y}/28.45274}%
-\global\let\tkzresulty\pgfmathresult
-\global\expandafter\edef\csname #3x\endcsname{\tkzresultx}% 
-\global\expandafter\edef\csname #3y\endcsname{\tkzresulty}% 
-\endgroup
-}
-\let\tkzGetVecCoord\tkzGetVectxy
-%<--------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
-\def\tkz@numv{0}
-\pgfkeys{/tkzdefv/.cd,
-K/.code      = {\pgfmathparse{#1}\global\def\tkz@ratio{\pgfmathresult}},
-colinear/.code     args = {at #1}{\global\def\tkz@numv{0}%
-                                  \global\def\tkz@frompoint{#1}},
-orthogonal/.code        = {\global\def\tkz@numv{1}},
-linear/.code            = {\global\def\tkz@numv{2}}\pgfmathparse{#1},
-normed orthogonal/.code = {\global\def\tkz@numv{3}},
-normed linear/.code     = {\global\def\tkz@numv{4}},
-} 
-\def\tkzDefVector[#1](#2,#3)#4{%
-\begingroup 
-\pgfkeys{/tkzdefv/.cd,K=1}
-\pgfqkeys{/tkzdefv}{#1}
-\ifcase\tkz@numv%
- % first case 0
- \tkzDefVectorfrom[\tkz@ratio](#2,#3){#4}
-  \or% 1
-  \tkz@VecKOrth[\tkz@ratio](#2,#3){#4} 
-  \or% 2
-  \tkz@VecK[\tkz@ratio](#2,#3){#4}
-  \or% 3
-  \tkz@VecKOrthNorm[\tkz@ratio](#2,#3){#4}
-  \or% 4
-  \tkz@VecKCoLinear[#1](#2,#3)#4
-  \fi    
-\endgroup
-} 
-
-\def\tkzDefVectorfrom[#1](#2,#3)#4{%    
-\begingroup    
-    \pgfpointdiff{\pgfpointanchor{#2}{center}}%
-                 {\pgfpointanchor{#3}{center}}%
-    \pgf@xa=\pgf@x%
-    \pgf@ya=\pgf@y%
-     \path[coordinate](\tkz@frompoint)--+(\tkz@ratio\pgf@xa,%
-                                          \tkz@ratio\pgf@ya) coordinate (#4);
-\endgroup
-} 
-%<--------------------------------------------------------------------------–>
-%         VecKCoLinear  CN = K x AB  #1 pt #2 pt #3 pt #4 nb #5 pt result   
-% il faut modifier cette macro : on supprime #3 pour la colinéarité
-% Il suffit d'utiliser Replicate ou Duplicate     coeff dans #1
-% v(CD)=#1 x v(AB) #1 le coeff; #2-->A #3-->B #4-->C  #5-->N
-%<--------------------------------------------------------------------------–>
-\def\tkzVecKCoLinear{\pgfutil@ifnextchar[{\tkz@VecKCoLinear}{\tkz@VecKCoLinear[1]}} 
-\def\tkz@VecKCoLinear[#1](#2,#3,#4)#5{% 
-\begingroup
-   \pgfpointdiff{\pgfpointanchor{#2}{center}}%
-                {\pgfpointanchor{#3}{center}}%
-   \pgf@xa=\pgf@x%
-   \pgf@ya=\pgf@y% 
-   \pgfmathparse{#1}\edef\tkz@coeff{\pgfmathresult}
-   \path[coordinate](#4)--+(\tkz@coeff\pgf@xa,\tkz@coeff\pgf@ya)%
-          coordinate (#5);%  
-\endgroup
-}%  
-%<--------------------------------------------------------------------------–>
-%         v(AN)=#1 x v(AB)     
-%   #1 le coeff; #2--> A #3--> B   #4-->N  tq    #4-#2 = #1*(#3-#2)                                 
-%<--------------------------------------------------------------------------–>
-\pgfkeys{
-  /tkzscalev/.cd,
-  ratio/.code      = {\pgfmathparse{#1}\global\edef\tkz@ratio{\pgfmathresult}}
-  }  
-\def\tkzScaleVector{\pgfutil@ifnextchar[{\tkz@ScaleVector}{%
-                                         \tkz@ScaleVector[]}} 
-\def\tkz@ScaleVector[#1](#2,#3)#4{% 
-\begingroup
-\pgfkeys{/tkzscalev/.cd,ratio=-1}
-\pgfqkeys{/tkzscalev}{#1}  
-   \pgfpointdiff{\pgfpointanchor{#2}{center}}%
-                {\pgfpointanchor{#3}{center}}%
-   \pgf@xa=\pgf@x%
-   \pgf@ya=\pgf@y% 
-    \path[coordinate](#2)--++(\pgf@xa *\tkz@ratio,\pgf@ya *\tkz@ratio)%
-          coordinate (#4);%   
-\endgroup
-}%          
-%<--------------------------------------------------------------------------–>
-%                 Outils pour les vecteurs
-%<--------------------------------------------------------------------------–>
-%  ce sont des outils élémentaires qui à partir de deux points en définissent 
-% un troisième 
-% #1 si c'est une option alors c'est un nombre réel
-% #2 et #3 sont deux points
-% #4 est le nom du point qui résulte de la transformation
-% exemple : \tkzVecKNorm (A,B){C} définit un point C tel que AC = 1 et C est %  %  un point de la droite (AC). #1 peut être négatif
-
-%<--------------------------------------------------------------------------–>
-%              VectorNormalised ou K*VectorNormalised
-% A-->#2 B-->#3 N-->#4      v(AB)  devient v(AN) tq ||v(AN)||=1 si #1=1  
-%  sinon ||v(AN)||=#1 
-%<--------------------------------------------------------------------------–>
-\def\tkzVecKNorm{\pgfutil@ifnextchar[{\tkz@VecKNorm}{\tkz@VecKNorm[1]}} 
-\def\tkz@VecKNorm[#1](#2,#3)#4{%
-\begingroup
-    \tkzpointnormalised{%
-    \pgfpointdiff{\pgfpointanchor{#2}{center}}
-                 {\pgfpointanchor{#3}{center}}}
-    \pgf@xa=\pgf@x\relax%
-    \pgf@ya=\pgf@y\relax% 
-    \pgfmathparse{#1}\edef\tkz@coeff{\pgfmathresult}
-    \FPmul\tkz@coeff{28.45274}{\tkz@coeff}
-    \FPmul\tkz@x{\tkz@coeff}{\pgf@sys@tonumber{\pgf@xa}}
-    \FPmul\tkz@y{\tkz@coeff}{\pgf@sys@tonumber{\pgf@ya}}
-    \path[coordinate](#2)--++(\tkz@x pt,\tkz@y pt)%
-          coordinate (#4);%
-\endgroup
-}%
-%<--------------------------------------------------------------------------–>
-%         v(AN)=#1 x v(AB)     
-%   #1 le coeff; #2--> A #3--> B   #4-->N  tq    #4-#2 = #1*(#3-#2)                                 
-%<--------------------------------------------------------------------------–>
-\def\tkzVecK{\pgfutil@ifnextchar[{\tkz@VecK}{\tkz@VecK[1]}} 
-\def\tkz@VecK[#1](#2,#3)#4{% 
-\begingroup 
-   \pgfpointdiff{\pgfpointanchor{#2}{center}}%
-                {\pgfpointanchor{#3}{center}}%
-   \pgf@xa=\pgf@x%
-   \pgf@ya=\pgf@y% 
-   \pgfmathparse{#1}\edef\tkz@coeff{\pgfmathresult}
-    \path[coordinate](#2)--++(\pgf@xa *\tkz@coeff,%
-                              \pgf@ya *\tkz@coeff)%
-          coordinate (#4);%   
-\endgroup
-}% 
-%<--------------------------------------------------------------------------–>
-%                   tkzVector K Orth   coeff dans #1
-%    v(AN) perp v(AB)  v(AB) v(AN) sens direct cercle trigo 
-% ||v(AN)||=||v(AB)||
-%<--------------------------------------------------------------------------–>
-\def\tkzVecKOrth{\pgfutil@ifnextchar[{\tkz@VecKOrth}{\tkz@VecKOrth[1]}}  
-\def\tkz@VecKOrth[#1](#2,#3)#4{%
-\begingroup
-    \pgfpointdiff{\pgfpointanchor{#2}{center}}%
-                 {\pgfpointanchor{#3}{center}}%
-    \pgf@xa=-\pgf@y%
-    \pgf@ya=\pgf@x%
-    \pgfmathparse{#1}\edef\tkz@coeff{\pgfmathresult}
-    \path[coordinate](#2)--++(\tkz@coeff\pgf@xa,\tkz@coeff\pgf@ya)%
-          coordinate (#4);%
-\endgroup
-}% 
-%<--------------------------------------------------------------------------–>
-%              tkzVecKOrthNorm   coeff dans #1
-%    v(AN) perp v(AB)  v(AB) v(AN) sens direct cercle trigo 
-% ||v(AN||=1 si #1 est vide ou =1 sinon ||v(AN||=K
-%<--------------------------------------------------------------------------–>
-\def\tkzVecKOrthNorm{\pgfutil@ifnextchar[{\tkz@VecKOrthNorm}%
-                                         {\tkz@VecKOrthNorm[1]}}
-\def\tkz@VecKOrthNorm[#1](#2,#3)#4{%    
-\begingroup
- \tkzpointnormalised{\pgfpointdiff{\pgfpointanchor{#2}{center}}%
-                                  {\pgfpointanchor{#3}{center}}} 
-  \pgf@xa=-\pgf@y%
-  \pgf@ya=\pgf@x%
-  \FPmul\tkz@coeff{28.45274}{#1}
-  \FPmul\tkz@x{\tkz@coeff}{\pgf@sys@tonumber{\pgf@xa}}
-  \FPmul\tkz@y{\tkz@coeff}{\pgf@sys@tonumber{\pgf@ya}}
-  \path[coordinate](#2)--++(\tkz@x pt,\tkz@y pt)%
-          coordinate (#4);%    
-\endgroup
-}%      
-%<--------------------------------------------------------------------------–>
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c  tkz-tools-math.tex}     
+\makeatletter
+%<-------------------------------------------------------------------------->
 %  \tkzpointnormalised    normalise un point A-->A' tq ||v(OA')=1||
-% équivalent de \pgfpointnormalised avec fp
+% Ã©quivalent de \pgfpointnormalised avec fp
 % example
 % \tkzpointnormalised{%
 % \pgfpointdiff{\pgfpointanchor{A}{center}}
@@ -226,463 +18,100 @@ normed linear/.code     = {\global\def\tkz@numv{4}},
 % or
 % \pgf@x=1 cm
 % \pgf@y=12 cm 
-% \tkzpointnormalised{} %<--------------------------------------------------------------------------–> 
+% \tkzpointnormalised{}
+%<--------------------------------------------------------------------------
 \def\tkzpointnormalised#1{%
 \pgf@process{#1}%
-\FPmul{\tkz@sx}{\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@x}}
-\FPmul{\tkz@sy}{\pgf@sys@tonumber{\pgf@y}}{\pgf@sys@tonumber{\pgf@y}}
-\FPadd{\tkz@sxy}{\tkz@sx}{\tkz@sy}
-\FProot{\tkz@den}{\tkz@sxy}{2}
-\FPdiv{\tkz@coordx}{\pgf@sys@tonumber{\pgf@x}}{\tkz@den}
-\FPround{\tkz@coordx}{\tkz@coordx}{5}
-\FPdiv{\tkz@coordy}{\pgf@sys@tonumber{\pgf@y}}{\tkz@den}
-\FPround{\tkz@coordy}{\tkz@coordy}{5}
+\edef\tkz@den{\fpeval{sqrt((\pgf@x)^2+(\pgf@y)^2)}}
+\edef\tkz@coordx{\fpeval{\pgf@x/\tkz@den}}
+\edef\tkz@coordx{\fpeval{round(\tkz@coordx,5)}}
+\edef\tkz@coordy{\fpeval{\pgf@y/\tkz@den}}
+\edef\tkz@coordy{\fpeval{round(\tkz@coordy,5)}}
 \pgf@x = \tkz@coordx pt
 \pgf@y = \tkz@coordy pt
 }
-%<--------------------------------------------------------------------------–>
+%<-------------------------------------------------------------------------->
 % restaure and save length
 \def\tkz@save@length{%
 \global\let\tkz@temp@length\tkzLengthResult}%
 \def\tkz@restore@length{%
  \global\let\tkzLengthResult\tkz@temp@length }% 
-%<--------------------------------------------------------------------------–>
-%<--------------------------------------------------------------------------–>
-%    \tkzCalcLength      Distance entre deux points en pt ou en cm  avec FP 
+%<-------------------------------------------------------------------------->
+%    \tkzCalcLength      Distance entre deux points en pt ou en cm  avec xfp 
 % \veclen mais avec fp 
-%  option cm le résultat est en cm sinon en pt
-%<--------------------------------------------------------------------------–>
-
-\newif\iftkzLengthIncm
-\pgfkeys{
-DefVecLen/.cd,
+%  option cm le rÃ©sultat est en cm sinon en pt
+%<-------------------------------------------------------------------------->
+\pgfkeys{@CalcLength/.cd,
        cm/.is if         = tkzLengthIncm,
        cm/.default       = true}   
 
 \def\tkzCalcLength{\pgfutil@ifnextchar[{\tkz@CalcLength}{\tkz@CalcLength[]}}  
 \def\tkz@CalcLength[#1](#2,#3){%
-\pgfkeys{DefVecLen/.cd, cm = false}
-\pgfqkeys{/DefVecLen}{#1}%   
+\pgfkeys{@CalcLength/.cd, cm = false}
+\pgfqkeys{/@CalcLength}{#1}%   
 \begingroup
 \tkz@@CalcLength(#2,#3){tkzLengthResult}
-\iftkzLengthIncm  
-    \FPdiv\tkzFPMathLen{\tkzFPMathLen}{28.45274}
-   \FPround\tkzFPMathLen\tkzFPMathLen5\relax% 
-   \global\let\tkzLengthResult\tkzFPMathLen  
+\iftkzLengthIncm 
+   \pgfmathparse{\tkz@xfpMathLen pt/1cm}
+	\edef\tkz@xfpMathLen{\fpeval{round(\pgfmathresult,5)}}
+   \global\let\tkzLengthResult\tkz@xfpMathLen  
 \fi 
 \endgroup
 }%
 \def\tkz@@CalcLength(#1,#2)#3{%
 \pgfpointdiff{\pgfpointanchor{#1}{center}}%
              {\pgfpointanchor{#2}{center}}%
-\pgf@xa=\pgf@x%
-\pgf@ya=\pgf@y%
-\FPeval\tkz@temp@a{\pgfmath@tonumber{\pgf@xa}}%
-\FPeval\tkz@temp@b{\pgfmath@tonumber{\pgf@ya}}%
-\FPeval\tkz@temp@sum{(\tkz@temp@a*\tkz@temp@a+\tkz@temp@b*\tkz@temp@b)}%
-\FProot{\tkzFPMathLen}{\tkz@temp@sum}{2}%
-\FPround\tkzFPMathLen\tkzFPMathLen5\relax
-\global\expandafter\edef\csname #3\endcsname{\tkzFPMathLen}
+\edef\tkz@xfpMathLen{\fpeval{sqrt((\pgf@x)^2+(\pgf@y)^2)}}
+\edef\tkz@xfpMathLen{\fpeval{round(\tkz@xfpMathLen,5)}}
+\global\expandafter\edef\csname #3\endcsname{\tkz@xfpMathLen}
 }
-%<--------------------------------------------------------------------------–>
+%<-------------------------------------------------------------------------->
 \def\tkzGetLength#1{%
 \global\expandafter\edef\csname #1\endcsname{\tkzLengthResult}}  
-%<--------------------------------------------------------------------------–>
-%     \tkzpttocm  passage de pt à cm div par 28.45274
-%<--------------------------------------------------------------------------–>
+%<-------------------------------------------------------------------------->
+%     \tkzpttocm  passage de pt   cm div par 28.45274
+%<-------------------------------------------------------------------------->
 \def\tkzpttocm(#1)#2{%
 \begingroup  
-    \FPdiv\tkz@mathresult{#1}{28.45274}
-    \FPround\tkz@mathresult\tkz@mathresult5\relax%  
-     \global\let\tkz@mathresult\tkz@mathresult
-     \global\expandafter\edef\csname #2\endcsname{\tkz@mathresult}% 
+  \pgfmathparse{#1/1cm}
+  \edef\tkz@mathresult{\fpeval{round(\pgfmathresult,5)}}
+  \global\let\tkz@mathresult\tkz@mathresult
+  \global\expandafter\edef\csname #2\endcsname{\tkz@mathresult}% 
 \endgroup
 }%
-%<--------------------------------------------------------------------------–>
-%     \tkzcmtopt  passage de cm à pt mul par 28.45274  %<--------------------------------------------------------------------------–
+%<-------------------------------------------------------------------------->
+%     \tkzcmtopt  passage de cm   pt mul par 28.45274
+%<--------------------------------------------------------------------------
 \def\tkzcmtopt(#1)#2{%
 \begingroup 
-    \FPmul\tkz@mathresult{#1}{28.45274}
-    \FPround\tkz@mathresult\tkz@mathresult5\relax%  
-     \global\let\tkz@mathresult\tkz@mathresult
-\global\expandafter\edef\csname #2\endcsname{\tkz@mathresult}% 
+   \pgfmathparse{#1/1pt}
+  \edef\tkz@mathresult{\fpeval{round(\pgfmathresult,5)}}
+  \global\let\tkz@mathresult\tkz@mathresult
+  \global\expandafter\edef\csname #2\endcsname{\tkz@mathresult}% 
 \endgroup  
 }% 
-%<--------------------------------------------------------------------------–>
+%<-------------------------------------------------------------------------->
 %                          Slope
-%<--------------------------------------------------------------------------–>
+%<-------------------------------------------------------------------------->
 \def\tkzFindSlope{\tkz@FindSlope}
 \def\tkz@FindSlope(#1,#2)#3{%
-    \begingroup
- \tkzpointnormalised{\pgfpointdiff{\pgfpointanchor{#1}{center}}%
-                                  {\pgfpointanchor{#2}{center}}}    
-    \tkz@ax=\pgf@x\relax%
-    \tkz@ay=\pgf@y\relax%
-    \FPdiv{\tkz@Slope}{\pgfmath@tonumber{\tkz@ay}}{\pgfmath@tonumber{\tkz@ax}}
-    \FPround{\tkz@Slope}{\tkz@Slope}{5}
+\begingroup
+   \tkzpointnormalised{\pgfpointdiff{\pgfpointanchor{#1}{center}}%
+                                    {\pgfpointanchor{#2}{center}}}
+     \edef\tkz@Slope{\fpeval{\pgfmath@tonumber{\pgf@y}/\pgfmath@tonumber{\pgf@x}}}
+     \edef\tkz@Slope{\fpeval{round(\tkz@Slope,5)}}
     \global\expandafter\edef\csname #3\endcsname{\tkz@Slope}%  
 \endgroup
 }
-%<--------------------------------------------------------------------------–>
-%<----------------– for compatibility --------------------------------------–>
-%<--------------------------------------------------------------------------–>
-\def\tkzmathanglebetweenpoints#1#2{%
-\begingroup
-  \pgf@process{\pgfpointdiff{#1}{#2}}%
-  %
-  % First approximate the angle of the external point...
-  %
-  \pgf@xa\pgf@x%
-  \pgf@ya\pgf@y%
-  \pgf@xb\pgf@x%
-  \pgf@yb\pgf@y%
-  \ifdim\pgf@xa<0pt\relax%
-    \pgf@xa-\pgf@xa%
-  \fi
-  \ifdim\pgf@ya<0pt\relax%
-    \pgf@ya-\pgf@ya%
-  \fi
-  \ifdim\pgf@ya>\pgf@xa%
-    \pgf@x\pgf@xa%
-    \pgf@y\pgf@ya%
-  \else
-    \pgf@x\pgf@ya%
-    \pgf@y\pgf@xa%
-  \fi
-  \ifdim\pgf@y=0pt\relax%
-    \pgf@x0pt%
-  \else 
-  \FPdiv\pgfmathresult{1}{\pgfmath@tonumber{\pgf@y}}
-  \FPround\pgfmathresult\pgfmathresult5\relax% 
-    \pgf@x\pgfmathresult\pgf@x%
-  \fi
-  \multiply\pgf@x1000\relax%
-  \afterassignment\pgfmath@gobbletilpgfmath@%
-  \expandafter\c@pgf@counta\the\pgf@x\relax\pgfmath@%
-\expandafter\pgf@x\csname pgfmath@atan@\the\c@pgf@counta\endcsname pt\relax%
-    \ifdim\pgfmath@ya>\pgfmath@xa\relax%
-      \pgf@x-\pgf@x%
-      \advance\pgf@x90pt%
-    \fi
-    \ifdim\pgf@xb<0pt%
-      \ifdim\pgf@yb>0pt%
-        \pgf@x-\pgf@x%
-      \fi
-      \advance\pgf@x180pt\relax%
-    \else
-      \ifdim\pgf@yb<0pt%
-      \pgf@x-\pgf@x%
-      \advance\pgf@x360pt\relax%
-    \fi 
-    \fi
-    \ifdim\pgf@x>180pt%
-    \advance\pgf@x-360pt\relax%
-    \fi
-    \pgfmath@returnone\pgf@x%
-  \endgroup
-}
-
-% \tkzmathrotatepointaround
-%
-% Rotate point #1 about point #2 by #3 degrees.
-%
-\def\tkzmathrotatepointaround#1#2#3{%
-  \pgf@process{%
-    \pgf@process{#1}%
-    \pgf@xc=\pgf@x%
-    \pgf@yc=\pgf@y%
-    \pgf@process{#2}%
-    \pgf@xa\pgf@x%
-    \pgf@ya\pgf@y%
-    \pgf@xb\pgf@x%
-    \pgf@yb\pgf@y%
-    \pgf@x=\pgf@xc%
-    \pgf@y=\pgf@yc%
-    \advance\pgf@x-\pgf@xa%
-    \advance\pgf@y-\pgf@ya%
-    \pgfmathsetmacro\tkz@angle{#3}%
-    \pgfmathsin@{\tkz@angle}%
-    \let\sineangle\pgfmathresult%
-    \pgfmathcos@{\tkz@angle}%
-    \let\cosineangle\pgfmathresult%
-    \pgf@xa\cosineangle\pgf@x%
-    \advance\pgf@xa-\sineangle\pgf@y%
-    \pgf@ya\sineangle\pgf@x%
-    \advance\pgf@ya\cosineangle\pgf@y%
-    \pgf@x\pgf@xb%
-    \pgf@y\pgf@yb%
-    \advance\pgf@x\pgf@xa%
-    \advance\pgf@y\pgf@ya%
-  }%
-}
-
-
-% \tkzmathanglebetweenlines
-%
-% Calculate the clockwise angle between a line from point #1
-% to point #2 and a line from #3 to point #4.
-%
-\def\tkzmathanglebetweenlines#1#2#3#4{%
-  \begingroup
-    \tkzmathanglebetweenpoints{#1}{#2}%
-    \let\firstangle\pgfmathresult%
-    \tkzmathanglebetweenpoints{#3}{#4}%
-    \let\secondangle\pgfmathresult%
-    \ifdim\firstangle pt>\secondangle pt\relax%
-      \pgfmathadd@{\secondangle}{360}%
-      \let\secondangle\pgfmathresult%
-    \fi
-    \pgfmathsubtract@{\secondangle}{\firstangle}%
-    \pgfmath@smuggleone\pgfmathresult%
-  \endgroup
-} 
-% \pgfmathpointreflectalongaxis
-%
-% Reflects point #2 around an axis centered on #2 at an angle #3.
-%
-\def\tkzmathreflectpointalongaxis#1#2#3{%
-  \pgf@process{%
-    \pgfmathanglebetweenpoints{#2}{#1}%
-    \pgfmath@tempdima\pgfmathresult pt\relax%
-    \pgfmathparse{#3}%
-    \advance\pgfmath@tempdima-\pgfmathresult pt\relax%
-    \pgfmath@tempdima-2.0\pgfmath@tempdima%
-    \pgfmathrotatepointaround{#1}{#2}{\pgfmath@tonumber{\pgfmath@tempdima}}%
-  }%
-}
-
-
-% \pgfmathpointintersectionoflineandarc 
-%
-% A bit experimental at the moment:
-%
-% Locates the point where a line crosses an eliptical arc. If the line
-% does not cross the arc, a meaningless point will result.
-%
-% #1 the point of the line on the "convex" side of the arc.
-% #2 the point of the line on the "concave" side of the arc.
-% #3 the center of the eliptical arc.
-% #4 start angle of the arc.
-% #5 end angle of the arc.
-% #6 radii of the arc.
-%
-\def\tkzmathpointintersectionoflineandarc#1#2#3#4#5#6{%
-  \pgf@process{%
-    %
-    % Get the required angle.
-    %
-    \pgfmathanglebetweenpoints{#2}{#1}%
-    \let\x\pgfmathresult%
-    %
-    % Get the radii of the arc.
-    %
-    \pgfmath@in@{and }{#6}%
-    \ifpgfmath@in@%
-      \pgf@polar@#6\@@%
-    \else
-      \pgf@polar@#6 and #6\@@%
-    \fi
-    \edef\xarcradius{\the\pgf@x}%
-    \edef\yarcradius{\the\pgf@y}% 
-     %
-    % Get the start and end angles of the arc...
-    % 
-    \pgfmathsetmacro\s{#4}%
-    \pgfmathsetmacro\e{#5}%
-    %
-    % ...and also with rounding.
-    %
-    \pgfmathmod@{\s}{360}%
-    \ifdim\pgfmathresult pt<0pt\relax%
-      \pgfmathadd@{\pgfmathresult}{360}%
-    \fi
-    \let\ss\pgfmathresult%
-    \pgfmathmod@{\e}{360}%
-    \ifdim\pgfmathresult pt<0pt\relax%
-      \pgfmathadd@{\pgfmathresult}{360}%
-    \fi
-    \let\ee\pgfmathresult%
-    %
-    % Hackery for when arc straddles zero.
-    %
-    \ifdim\ee pt<\ss pt\relax%
-      \pgfmathadd@{\x}{180}%
-      \pgfmathmod@{\pgfmathresult}{360}%
-      \let\x\pgfmathresult%
-    \fi
-    \def\m{360}% Measure of nearness.
-    \pgfmathadd@{\s}{\e}%
-    \pgfmathdivide@{\pgfmathresult}{2}%
-    \let\n\pgfmathresult% The best estimate (default to middle of arc).
-    \pgfmathloop%
-      \pgfmathadd@{\s}{\e}%
-      \pgfmathdivide@{\pgfmathresult}{2}%
-      \let\p\pgfmathresult%
-      \ifdim\p pt=\s pt\relax% 
-      \else
-        \tkzmathanglebetweenpoints{#2}{%
-          \pgfpointadd{#3}{%
-            \pgf@x\xarcradius\relax%
-            \pgfmathcos@{\p}%
-            \pgf@x\pgfmathresult\pgf@x%
-            \pgf@y\yarcradius\relax%
-            \pgfmathsin@{\p}%
-            \pgf@y\pgfmathresult\pgf@y%
-          }%
-        }%
-        %
-        % Hackery for when arc straddles zero.
-        %
-        \ifdim\ee pt<\ss pt\relax%
-          \pgfmathadd@{\pgfmathresult}{180}%
-          \pgfmathmod@{\pgfmathresult}{360}%
-        \fi
-        \let\q\pgfmathresult%
-        %
-        % More hackery...
-        %
-        \ifdim\x pt>335pt\relax%
-          \ifdim\q pt<45pt\relax%
-            \pgfmathadd@{\q}{360}%
-            \let\q\pgfmathresult%
-          \fi
-        \fi
-        \ifdim\x pt=\q pt% Found it!
-            \pgfmathbreakloop% Breaks after current iteration is complete.
-          \else
-            \ifdim\x pt<\q pt\relax%
-              \let\e\p%
-            \else
-              \let\s\p%
-            \fi
-          \fi
-          \pgfmathsubtract@{\x}{\q}%
-          \pgfmathabs@{\pgfmathresult}%
-          %
-          % Save the estimate if it is better than any previous estimate.
-          %
-          \ifdim\pgfmathresult pt<\m pt\relax%
-            \let\m\pgfmathresult%
-            \let\n\p%
-          \fi        
-    \repeatpgfmathloop%
-    \pgfpointadd{#3}{\pgfpointpolar{\n}{\xarcradius and \yarcradius}}%
-  }%
-}
-
-% \tkzmathangleonellipse
-% 
-% Find the angle corresponding to a point on the border of an ellispe.
-%
-% #1 - the point on the border.
-% #2 - the radii of the ellipse.
-%
-\def\tkzmathangleonellipse#1#2{%
-  \begingroup
-    \pgfmath@in@{and }{#2}%
-    \ifpgfmath@in@%
-      \pgf@polar@#2\@@%
-    \else
-      \pgf@polar@#2 and #2\@@%
-    \fi
-    \pgf@xa\pgf@x%
-    \pgf@ya\pgf@y%
-    \pgf@process{#1}% 
-    \ifdim\pgf@x=0pt\relax%
-      \pgfutil@tempdima1pt\relax%
-    \else
-      \pgfutil@tempdima\pgf@x%
-%\pgfmathdivide@{\pgfmath@tonumber{\pgf@xa}}{\pgfmath@tonumber{\pgfutil@tempdima}}% 
-\FPdiv\pgfmathresult{\pgfmath@tonumber{\pgf@xa}}{\pgfmath@tonumber{\pgfutil@tempdima}} 
-\FPround\pgfmathresult\pgfmathresult5\relax%
-      \pgfutil@tempdima\pgfmathresult pt\relax%
-    \fi
-    \ifdim\pgf@y=0pt\relax%
-      \pgfutil@tempdima1pt\relax%
-    \else 
-     % \pgfmathdivide@{\pgfmath@tonumber{\pgf@y}}{\pgfmath@tonumber{\pgf@ya}}%
-      \FPdiv\pgfmathresult{\pgfmath@tonumber{\pgf@y}}{%
-                           \pgfmath@tonumber{\pgf@ya}}%
-      \FPround\pgfmathresult\pgfmathresult5\relax%
-      \pgfutil@tempdima\pgfmathresult\pgfutil@tempdima%
-      \pgfmathatan@{\pgfmath@tonumber{\pgfutil@tempdima}}%
-    \fi
-    %
-    \pgfutil@tempdima\pgfmathresult pt\relax%
-    \ifdim\pgfutil@tempdima<0pt\relax%
-      \advance\pgfutil@tempdima360pt\relax%
-    \fi
-    \ifdim\pgf@x<0pt\relax%
-      \ifdim\pgf@y=0pt\relax%
-        \pgfutil@tempdima180pt\relax%
-      \else
-        \ifdim\pgf@y<0pt\relax%
-          \advance\pgfutil@tempdima180pt\relax%
-        \else
-          \advance\pgfutil@tempdima-180pt\relax%
-        \fi
-      \fi
-    \else
-      \ifdim\pgf@x=0pt\relax%
-        \ifdim\pgf@y<0pt\relax%
-          \pgfutil@tempdima270pt\relax%
-        \else
-          \pgfutil@tempdima90pt\relax%
-        \fi
-      \else
-        \ifdim\pgf@y=0pt\relax%
-          \pgfutil@tempdima0pt\relax%
-        \fi
-      \fi        
-    \fi
-    \pgfmath@returnone\pgfutil@tempdima%
-  \endgroup
-} 
-
-\def\tkzpointborderellipse#1#2{%
-  \pgf@process{#2}%
-  \pgf@xa=\pgf@x%
-  \pgf@ya=\pgf@y%
-  \ifdim\pgf@xa=\pgf@ya% circle. that's easy!
-    \pgf@process{\pgfpointnormalised{#1}}%
-    \pgf@x=\pgf@sys@tonumber{\pgf@xa}\pgf@x%
-    \pgf@y=\pgf@sys@tonumber{\pgf@xa}\pgf@y%
-  \else
-    \ifdim\pgf@xa<\pgf@ya%
-      % Ok, first, let's compute x/y:
-      \c@pgf@countb=\pgf@ya%
-      \divide\c@pgf@countb by65536\relax%
-      \divide\pgf@x by\c@pgf@countb%
-      \divide\pgf@y by\c@pgf@countb%
-      \pgf@xc=\pgf@x%
-      \pgf@yc=8192pt%
-      \pgf@y=.125\pgf@y%
-      \c@pgf@countb=\pgf@y%
-      \divide\pgf@yc by\c@pgf@countb%
-      \pgf@process{#1}%
-      \pgf@y=\pgf@sys@tonumber{\pgf@yc}\pgf@y%
-      \pgf@y=\pgf@sys@tonumber{\pgf@xc}\pgf@y%
-      \pgf@process{\pgfpointnormalised{}}%
-      \pgf@x=\pgf@sys@tonumber{\pgf@xa}\pgf@x%
-      \pgf@y=\pgf@sys@tonumber{\pgf@ya}\pgf@y%
-    \else
-      % Ok, now let's compute y/x:
-      \c@pgf@countb=\pgf@xa%
-      \divide\c@pgf@countb by65536\relax%
-      \divide\pgf@x by\c@pgf@countb%
-      \divide\pgf@y by\c@pgf@countb%
-      \pgf@yc=\pgf@y%
-      \pgf@xc=8192pt%
-      \pgf@x=.125\pgf@x%
-      \c@pgf@countb=\pgf@x%
-      \divide\pgf@xc by\c@pgf@countb%
-      \pgf@process{#1}%
-      \pgf@x=\pgf@sys@tonumber{\pgf@yc}\pgf@x%
-      \pgf@x=\pgf@sys@tonumber{\pgf@xc}\pgf@x%
-      \pgf@process{\pgfpointnormalised{}}%
-      \pgf@x=\pgf@sys@tonumber{\pgf@xa}\pgf@x%
-      \pgf@y=\pgf@sys@tonumber{\pgf@ya}\pgf@y%
-    \fi  
-  \fi
-}    
+%  Schrodinger's cat idea 03/01/20
+\tikzset{xfp/.code={%
+\pgfmathdeclarefunction*{veclen}{2}{%
+\begingroup%
+    \pgfmath@x##1pt\relax%
+    \pgfmath@y##2pt\relax%
+    \edef\tkz@xfpMathLen{\fpeval{sqrt((\pgf@x)^2+(\pgf@y)^2)}}
+    \pgfmath@returnone\tkz@xfpMathLen pt%
+\endgroup%
+}}}
+ \makeatother 
 \endinput   
 \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-misc.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-misc.tex
index 1b77e7b958b..e47c7d8a5c2 100644
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-misc.tex
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-misc.tex
@@ -1,109 +1,20 @@
+% tkz-tools-misc.tex
 % Copyright 2011 by Alain Matthes
-%
 % This file may be distributed and/or modified
-%
 % 1. under the LaTeX Project Public License and/or
 % 2. under the GNU Public License.
-
-
-\def\fileversion{1.16 d}
-\def\filedate{2018/09/19}  
-
-
-%<--------------------------------------------------------------------------–>
-%                                         tkzText
-%<--------------------------------------------------------------------------–>
-\newif\iftkz@node\tkz@nodefalse  
-
-\def\tkz@parsenode#1{%
-\tkz@getvirg#1,\@nil
-\iftkz@node  
-\else
-  \tkz@getfromcart#1\@nil   
-\fi  
-}   
-\def\tkz@getvirg#1,#2\@nil{%
-\ifx\tkzempty#2\tkzempty%
-   \tkz@nodetrue 
-\else
-   \tkz@nodefalse  
-\fi
-}      
-
-
-\def\tkzText{\pgfutil@ifnextchar[{\tkz@Text}{\tkz@Text[]}}
-\def\tkz@Text[#1](#2)#3{%
- \begingroup
- \tkz@parsenode{#2} 
- \iftkz@node \node[#1] at (#2){#3}; 
- \else
- \FPadd{\ptxa}{\tkz@absc}{-\tkz@init@xorigine}
- \FPadd{\ptya}{\tkz@ord}{-\tkz@init@yorigine}
- \FPdiv{\ptxa}{\ptxa}{\tkz@init@xstep}
- \FPdiv{\ptya}{\ptya}{\tkz@init@ystep}
-  \node[#1] at (\ptxa,\ptya){#3};% 
-  \fi
-\endgroup
-}%
-% %<--------------------------------------------------------------------------–>
-% %                                    légende
-% %<--------------------------------------------------------------------------–>
-\newif\iftkz@legend@line
-\pgfkeys{
-/tkzlegend/.cd,  
-line/.is if                 = tkz@legend@line,
-line/.default               = true,
-/tkzlegend/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
-                              \pgfkeysalso{\searchname/.try=#1,
-                                   /tikz/\searchname/.retry=#1}}  
-}
-
-\def\tkzLegend{\pgfutil@ifnextchar[{\tkz@Legend}{\tkz@Legend[]}} 
-\def\tkz@Legend[#1](#2,#3)#4{%
-\pgfkeys{/tkzlegend/.cd,
-line=false}  
- \pgfqkeys{/tkzlegend}{#1}
- \begingroup  
-\c@pgfmath@counta=0 %
-\FPadd{\ptxa}{#2}{-\tkz@init@xorigine}
-\FPadd{\ptya}{#3}{-\tkz@init@yorigine}
-\FPdiv{\ptxa}{\ptxa}{\tkz@init@xstep}
-\FPdiv{\ptya}{\ptya}{\tkz@init@ystep}
-\node[/tkzlegend/.cd,#1] at (\ptxa,\ptya) {%
-\begin{tikzpicture}
-   \foreach \motif/\size/\col/\mtext in {#4}{%
-       \iftkz@legend@line
-          \draw[color      = \col,
-                line width = \size,
-                style      = \motif,
-                text       = \tkz@mainlinecolor]%
-          (0cm ,\the\c@pgfmath@counta ex)--%
-               (\tkz@legend@line@len,\the\c@pgfmath@counta ex) 
-       \else  
-          \draw plot[mark size    = \size,%
-                     mark         = \motif,%
-                     mark options = {color=\col}]%
-           coordinates{(0 ex,\the\c@pgfmath@counta ex)}%
-         \fi
-           node[right=1ex] {\mtext};
-          \global\advance\c@pgfmath@counta by 3 %  
-       }% 
-
-\end{tikzpicture}%
-};% 
-\endgroup
-}   
-
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c  tkz-tools-misc.tex}   
+\makeatletter
 %<--------------------------------------------------------------------------–>
 %                                 hline  pb  avec line
 %<--------------------------------------------------------------------------–>
 \def\tkzHLine{\pgfutil@ifnextchar[{\tkz@HLine}{\tkz@HLine[]}}  
 \def\tkz@HLine[#1]#2{%
- \begingroup
-    \FPeval{\tkz@valy}{(#2)}%
-    \FPadd{\tkz@ptya}{\tkz@valy}{-\tkz@init@yorigine}
-    \FPdiv{\tkz@ptya}{\tkz@ptya}{\tkz@init@ystep}
-    \draw[#1] (\tkz@xa,\tkz@ptya)--(\tkz@xb,\tkz@ptya);%
+\begingroup
+ \edef\tkz@ptya{\fpeval{(#2-\tkz@init@yorigine)/\tkz@init@ystep}}
+ \draw[#1] (\tkz@xa,\tkz@ptya)--(\tkz@xb,\tkz@ptya);%
 \endgroup
 }
 %<--------------------------------------------------------------------------–>
@@ -113,8 +24,8 @@ line=false}
 \def\tkz@HLines[#1]#2{%
  \begingroup 
  \foreach \tkz@vy in {#2}{%
-   \FPeval\my@tkz@vy{\tkz@vy}
-   \tkz@HLine[#1]{\my@tkz@vy}}   
+  \edef\my@tkz@vy{\fpeval{(\tkz@vy)}}
+  \tkz@HLine[#1]{\my@tkz@vy}}   
 \endgroup
 }  
 %<--------------------------------------------------------------------------->
@@ -123,21 +34,18 @@ line=false}
 \def\tkzVLine{\pgfutil@ifnextchar[{\tkz@VLine}{\tkz@VLine[]}}
 \def\tkz@VLine[#1]#2{%
 \begingroup
-  \FPeval\tkz@valx{(#2)}%
-  \FPadd{\tkz@ptxa}{\tkz@valx}{-\tkz@init@xorigine}
-  \FPdiv{\tkz@ptxa}{\tkz@ptxa}{\tkz@init@xstep}
+  \edef\tkz@ptxa{\fpeval{(#2-\tkz@init@xorigine)/\tkz@init@xstep}}
   \draw[#1](\tkz@ptxa,\tkz@ya)--(\tkz@ptxa,\tkz@yb);
 \endgroup
 }  
-
 %<--------------------------------------------------------------------------->
 %                                      vlines
 %<--------------------------------------------------------------------------->
 \def\tkzVLines{\pgfutil@ifnextchar[{\tkz@VLines}{\tkz@VLines[]}}
 \def\tkz@VLines[#1]#2{%
 \begingroup  
- \foreach \tkz@vx in {#2}{%  
-   \FPeval\my@tkz@vx{\tkz@vx}
+ \foreach \tkz@vx in {#2}{% 
+   \edef\my@tkz@vx{\fpeval{(\tkz@vx)}} 
    \tkz@VLine[#1]{\my@tkz@vx}}  
 \endgroup
 } 
@@ -145,37 +53,30 @@ line=false}
 \def\tkzHTick{\pgfutil@ifnextchar[{\tkz@HTick}{\tkz@HTick[]}}  
 \def\tkz@HTick[#1]#2{%
  \begingroup  
-    \FPeval\tkz@ptxa{(#2)}% 
-    \FPround\tkz@ptxa\tkz@ptxa{5}   
-    \FPclip\tkz@ptxa\tkz@ptxa
-    \FPadd\tkz@ptxa\tkz@ptxa{-\tkz@init@xorigine}
-    \FPdiv\tkz@ptxa\tkz@ptxa{\tkz@init@xstep} 
-    \draw plot[mark style,#1] coordinates {(\tkz@ptxa,0)};  
+ \edef\tkz@ptxa{\fpeval{(round(#2,5)-\tkz@init@xorigine)/\tkz@init@xstep}}
+ \draw plot[mark style,#1] coordinates {(\tkz@ptxa,0)};  
 \endgroup
 }
 \def\tkzHTicks{\pgfutil@ifnextchar[{\tkz@HTicks}{\tkz@HTicks[]}}  
 \def\tkz@HTicks[#1]#2{%
  \begingroup 
-\foreach \tkz@hy in {#2} {\tkz@HTick[#1]{\tkz@hy}}
+	\foreach \tkz@hy in {#2} {\tkz@HTick[#1]{\tkz@hy}}
 \endgroup
 }
 %<--------------------------------------------------------------------------–>
 \def\tkzVTick{\pgfutil@ifnextchar[{\tkz@VTick}{\tkz@VTick[]}}  
 \def\tkz@VTick[#1]#2{%
  \begingroup
-    \FPeval\tkz@ptya{(#2)}%
-    \FPround\tkz@ptya\tkz@ptya{5}%
-    \FPclip\tkz@ptya\tkz@ptya
-    \FPadd\tkz@ptya\tkz@ptya{-\tkz@init@yorigine}%
-    \FPdiv\tkz@ptya\tkz@ptya{\tkz@init@ystep}%
-    \draw plot[mark style,#1] coordinates {(0,\tkz@ptya)};
+ \edef\tkz@ptya{\fpeval{(round(#2,5)-\tkz@init@yorigine)/\tkz@init@ystep}}
+ \draw plot[mark style,#1] coordinates {(0,\tkz@ptya)};
 \endgroup
 }
 %<--------------------------------------------------------------------------–>
 \def\tkzVTicks{\pgfutil@ifnextchar[{\tkz@VTicks}{\tkz@VTicks[]}}  
 \def\tkz@VTicks[#1]#2{%
 \begingroup 
-\foreach \tkz@hy in {#2} {\tkz@VTick[#1]{\tkz@hy}}
+	\foreach \tkz@hy in {#2} {\tkz@VTick[#1]{\tkz@hy}}
 \endgroup
 } 
+\makeatother
 \endinput
 \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-modules.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-modules.tex
new file mode 100644
index 00000000000..e0e69f639f0
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-modules.tex
@@ -0,0 +1,60 @@
+% tkz-tools-modules
+% Copyright 2011 by Alain Matthes
+% This file may be distributed and/or modified
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c  tkz-tools-utilities.tex}  
+\makeatletter
+%<------------- % chargement des modules ---------------------------------->
+\def\tkz@obj@all{angles,arcs,compass,defcircles,deflines,defpoints,defpointsby,defpointsrnd,defpointswith,polygons,protractor,sectors,show,triangles}%
+\def\tkz@obj@txt{all}
+\def\usetkzobj{\pgfutil@ifnextchar[{\use@usetkzobj}{\use@@usetkzobj}}%}
+\def\use@usetkzobj[#1]{\use@@usetkzobj{#1}}
+\def\use@@usetkzobj#1{% 
+  \def\tkz@list{#1}
+  \ifx\tkz@obj@txt\tkz@list \edef\tkz@list{\tkz@obj@all}% 
+      \else  
+      \edef\tkz@list{#1}%
+    \fi
+  \pgfutil@for\tkz@temp:=\tkz@list\do{%
+    \expandafter\ifx\csname tkz@library@\tkz@temp @loaded\endcsname\relax%
+      \expandafter\global\expandafter\let\csname tkz@library@\tkz@temp @loaded\endcsname=\pgfutil@empty%
+      \expandafter\edef\csname tkz@obj@#1@atcode\endcsname{\the\catcode`\@}
+      \expandafter\edef\csname tkz@obj@#1@barcode\endcsname{\the\catcode`\|}
+      \catcode`\@=11
+      \catcode`\|=12   
+      \input tkz-obj-\tkz@temp.tex 
+      \catcode`\@=\csname tkz@obj@#1@atcode\endcsname
+      \catcode`\|=\csname tkz@obj@#1@barcode\endcsname  
+    \fi%
+  }%
+}%
+%<---------------------------------------------------------–>
+\def\tkz@tool@all{math-xfp}
+\def\tkz@tool@txt{all}
+
+\def\usetkztool{\pgfutil@ifnextchar[{\use@usetkztool}{\use@@usetkztool}}%}
+\def\use@usetkztool[#1]{\use@@usetkztool{#1}}
+\def\use@@usetkztool#1{% 
+  \def\tkz@list{#1}
+  \ifx\tkz@tool@txt\tkz@list \edef\tkz@list{\tkz@tool@all}%
+      \else
+      \edef\tkz@list{#1}%
+    \fi
+  \pgfutil@for\tkz@temp:=\tkz@list\do{%
+    \expandafter\ifx\csname tkz@library@\tkz@temp @loaded\endcsname\relax%
+      \expandafter\global\expandafter\let\csname tkz@library@\tkz@temp @loaded\endcsname=\pgfutil@empty%
+      \expandafter\edef\csname tkz@tool@#1@atcode\endcsname{\the\catcode`\@}
+      \expandafter\edef\csname tkz@tool@#1@barcode\endcsname{\the\catcode`\|}
+      \catcode`\@=11
+      \catcode`\|=12
+      \input tkz-tools-\tkz@temp.tex
+      \catcode`\@=\csname tkz@tool@#1@atcode\endcsname
+      \catcode`\|=\csname tkz@tool@#1@barcode\endcsname
+    \fi%
+  }%
+}%
+\makeatother
+\endinput
+\ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-obsolete.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-obsolete.tex
deleted file mode 100644
index 82f7e1bcbb0..00000000000
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-obsolete.tex
+++ /dev/null
@@ -1,219 +0,0 @@
-\makeatletter
-\global\edef\tkz@sua@lw{0.4pt} 
-\global\edef\tkz@sua@color{black} 
-\global\edef\tkz@sua@gradsize{\textstyle} 
-\global\edef\tkz@sua@tickwd{0.8 pt}
-\global\edef\tkz@sua@ticka{2 pt}  
-\global\edef\tkz@sua@tickb{2 pt}
-
-
-
-\def\tkzX{\pgfutil@ifnextchar[{\tkz@X}{\tkz@X[]}}
-\def\tkz@X[#1]{% 
-\begingroup
- \pgfkeys{/tkzX/.cd,
- trig     = 0,
- lw       = \tkz@sua@lw,
- gradsize = \tkz@sua@gradsize,
- color    = \tkz@sua@color,
- tickwd   = \tkz@sua@tickwd,
- tickup   = \tkz@sua@ticka,
- tickdn   = \tkz@sua@tickb,  
- pos      = {below = 3pt},
- label    = $x$,
- poslabel = {below = 3pt},
- noticks  = false,
- nograd   = false,
-% unit     = false,
- orig     = false,
- step    = \tkz@init@xstep
- }    
- \pgfqkeys{/tkzX}{#1}  
-   \FPtrunc\posmax{\tkz@xb}{\tkz@init@xdec}%
-   \FPtrunc\posmin{\tkz@xa}{\tkz@init@xdec}%
-   \FPdiv\tkz@posnext{\tkz@posnext}{\tkz@init@xstep}
-   \FPadd\posnext{\posmin}{\tkz@posnext}
-   \FPadd\tkz@xbsup{\tkz@xb}{\tkz@init@rightspace}
-   \path (\tkz@xa,0)--(\tkz@xb,0) node(tkz@xline){};%
-    \protected@edef\tkz@temp{%
-    \noexpand%    
-   \draw[xaxe style,line width = \tkz@X@lw,%
-         color      = \tkz@X@color]%
-        (\tkz@xa,0)--(\tkz@xbsup,0)%
-         node[xlabel style,\tkz@X@poslabel]}\tkz@temp%
-         {\tkz@X@label};%
-    \FPtrunc\xtkzero{0.0000000}{\tkz@init@xdec}% 
-   \iftkz@X@noticks%
-   \else 
-\ifnum\tkz@X@trig=0%
-   \FPtrunc\posmax{\posmax}{\tkz@init@xdec}% 
-   \foreach \pos in {\posmin,\posnext,...,\posmax}{%
-      \FPtrunc\tkz@pos{\pos}{\tkz@init@xdec}%
-      \protected@edef\tkz@temp{%
-      \noexpand% 
-       \draw[line width = \tkz@X@tickwd,shift = {(\pos,0)}]%
-            (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn)%
-            node[\tkz@X@pos,inner sep = 0pt]}\tkz@temp
-        {\FPmul{\xgrad}{\pos}{\tkz@init@xstep}%
-         \FPadd{\xgrad}{\xgrad}{\tkz@init@xorigine}%
-         \FPtrunc\xgrad{\xgrad}{\tkz@init@xdec}%
-         \iftkz@X@orig% 
-               \iftkz@X@nograd
-               \else\tkz@showgrad{\xgrad}%
-                  $\textcolor{\tkz@sur@colorlabel}{%
-                  \tkz@X@gradsize{\numprint{\tkz@result}}}$%
-               \fi
-          \else % orig
-            \iftkz@init@NO% 
-               \ifx\tkz@pos\posmin
-               \else
-                  \tkz@showgrad{\xgrad}%
-                  $\textcolor{\tkz@sur@colorlabel}{%
-                  \tkz@X@gradsize{\numprint{\tkz@result}}}$
-               \fi
-            \else % NO
-               \ifx\tkz@pos\xtkzero%
-                   % \iftkz@X@unit\tkz@showgrad{\xgrad}%
-                   % $\textcolor{\tkz@sur@colorlabel}{%
-                   % \tkz@X@gradsize{\numprint{\tkz@result}}}$
-                   % \fi  
-               \else 
-                  \iftkz@X@nograd%
-                  \else\tkz@showgrad{\xgrad}%
-                    $\textcolor{\tkz@sur@colorlabel}{%
-                     \tkz@X@gradsize{\numprint{\tkz@result}}}$
-                  \fi
-               \fi%end of xtkzero
-          \fi%end of NO
-      \fi%end of orig
-};%  end of draw
-}% end foreach
-   \else %trig affichage
-       \FPadd{\posmin}{\posmin}{0.5}%
-       \FPdiv\nbtrigticksmax{\posmax}{\FPpi}%
-       \FPdiv\nbtrigticksmin{\posmin}{\FPpi}%
-       \FPmul\nbtrigticksmax{\nbtrigticksmax}{\tkz@X@trig}%
-       \FPmul\nbtrigticksmin{\nbtrigticksmin}{\tkz@X@trig}%
-       \FPround\nbtrigticksmin{\nbtrigticksmin}{0}% 
-       \foreach \pos in {\nbtrigticksmin,...,\nbtrigticksmax}{%
-          \FPmul\pospi{\pos}{\FPpi}
-          \FPdiv\pospi{\pospi}{\tkz@X@trig}%
-          \protected@edef\tkz@temp{%
-          \noexpand\draw[line width = \tkz@X@tickwd,%
-                         shift      = {(\pospi,0)}]%
-                      (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickup)%
-                      node[\tkz@X@pos,%
-                           text height = 8pt,%
-                           inner sep   = 1pt]}\tkz@temp%
-                {\tkzPrintFracWithPi{\pos}{\tkz@X@trig}%
-                 \tkzprintfrac};% 
-        }% end foreach                              
-    \fi
-\fi% end ticks  
-\endgroup
- }% todo macro pour l'affichage 
-
-%<--------------------------------------------------------------------------–>
-%                                 tkzY
-%<--------------------------------------------------------------------------–>
-
-\pgfkeys{
-  tkzY/.cd,
-  pos/.code        = {\def\tkz@Y@pos{#1}},
-  trig/.code       = {\def\tkz@Y@trig{#1}},
-  lw/.code         = {\def\tkz@Y@lw{#1}},
-  color/.code      = {\def\tkz@Y@color{#1}},
-  label/.code      = {\def\tkz@Y@label{#1}},  
-  poslabel/.code   = {\def\tkz@Y@poslabel{#1}},
-  tickwd/.code     = {\def\tkz@Y@tickwd{#1}},
-  ticklt/.code     = {\def\tkz@Y@ticklt{#1}},
-  tickrt/.code     = {\def\tkz@Y@tickrt{#1}},
-  gradsize/.code   = {\def\tkz@Y@gradsize{#1}},
-  step/.code       = {\def\tkz@posnext{#1}}, 
-  noticks/.is if   = tkz@Y@noticks,
-  noticks/.default = true,  
-  nograd/.is if    = tkz@Y@nograd,
-  nograd/.default  = true,  
-  orig/.is if      = tkz@Y@orig,
-  orig/.default    = true,  
-  unit/.is if      = tkz@Y@unit,
-  unit/.default    = true  }    
-\def\tkzY{\pgfutil@ifnextchar[{\tkz@Y}{\tkz@Y[]}}
-\def\tkz@Y[#1]{%
- \pgfkeys{/tkzY/.cd,
- trig     = 0,
- lw       = \tkz@sua@lw,
- gradsize = \tkz@sua@gradsize,
- color    = \tkz@sua@color,
- tickwd   = \tkz@sua@tickwd,
- tickrt   = \tkz@sua@ticka,
- ticklt   = \tkz@sua@tickb,
- label    = $y$,
- poslabel = {left = 3pt},
- pos      = {left = 3pt},   
- noticks  = false,
- nograd   = false,
- unit     = false,
- orig     = false,
- step     = \tkz@init@ystep
- }    
- \pgfqkeys{/tkzY}{#1}  
-   \FPtrunc\posmax{\tkz@yb}{\tkz@init@ydec}%
-   \FPtrunc\posmin{\tkz@ya}{\tkz@init@ydec}%
-     \FPdiv\tkz@posnext{\tkz@posnext}{\tkz@init@ystep}
-   \FPadd\posnext{\posmin}{\tkz@posnext}  
-   \path (0,\tkz@ya)--(0,\tkz@yb) node(tkz@yline){};%
-   \FPadd\tkz@ybsup{\tkz@yb}{\tkz@init@upspace}   
-   \protected@edef\tkz@temp{%
-   \noexpand% 
-   \draw[line width = \tkz@Y@lw,%
-         color      = \tkz@Y@color,yaxe style]%
-        (0,\tkz@ya)--(0,\tkz@ybsup)%
-        node[\tkz@Y@poslabel,ylabel style]}\tkz@temp%
-        {\tkz@Y@label};%
-   \FPtrunc\ytkzero{0.000000}{\tkz@init@ydec}%
-   \iftkz@Y@noticks%
-   \else
-   \foreach \pos in {\posmin,\posnext,...,\posmax}{%
-       \FPtrunc\tkz@pos{\pos}{\tkz@init@ydec}%
-       \protected@edef\tkz@temp{%
-       \noexpand% 
-       \draw[line width = \tkz@Y@tickwd,%
-            shift       = {(0,\pos)}]%
-            (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt)%
-            node[\tkz@Y@pos,inner sep = 0pt]}\tkz@temp%
-         {\FPmul{\ygrad}{\pos}{\tkz@init@ystep}%
-          \FPadd{\ygrad}{\ygrad}{\tkz@init@yorigine}
-          \FPtrunc\ygrad{\ygrad}{\tkz@init@ydec}%
-          \iftkz@Y@orig% 
-              \iftkz@Y@nograd\else\tkz@showgrad{\ygrad}%
-                         $\textcolor{\tkz@sur@colorlabel}{\tkz@Y@gradsize{\numprint{\tkz@result}}}$\fi
-          \else
-           \iftkz@init@NO% 
-             \ifx\tkz@pos \posmin\else
-             \tkz@showgrad{\ygrad}%
-                 $\textcolor{\tkz@sur@colorlabel}{\tkz@Y@gradsize{\numprint{\tkz@result}}}$\fi
-        \else 
-          \ifx\tkz@pos \ytkzero 
-            \iftkz@Y@unit\tkz@showgrad{\ygrad}%
-               $\textcolor{\tkz@sur@colorlabel}{\tkz@Y@gradsize{\numprint{\tkz@result}}}$\fi\else
-            \iftkz@Y@nograd%
-             \else \tkz@showgrad{\ygrad}%
-              $\textcolor{\tkz@sur@colorlabel}{\tkz@Y@gradsize{\numprint{\tkz@result}}}$\fi\fi
-        \fi
-    \fi
-   };%
-  }%
-\fi
-\iftkz@init@NO\else\iftkz@Y@unit%
-  \draw[line width = 1pt,%
-        inner sep  = 1pt] (0,0) -- (0,1)%
-        node[left=3pt]%
-       {$\tkz@Y@gradsize{\numprint{\tkz@init@ystep}}$};% 
-  \draw[line width = \tkz@Y@tickwd,%
-        shift      = {(0,1)}]%
-      (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt);%
-  \fi\fi
-}%
-\makeatother
-\endinput 
-\ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-print.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-print.tex
new file mode 100644
index 00000000000..72aa8e8f7c2
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-print.tex
@@ -0,0 +1,79 @@
+% tkz-tool-print.tex
+% Copyright 2011 by Alain Matthes
+% This file may be distributed and/or modified
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c  tkz-tools-print.tex}  
+\makeatletter
+%<------------- tkzPrintFrac ---------------------------------->
+\def\tkzPrintFrac#1#2{% 
+\begingroup
+\tkzReducFrac{#1}{#2}
+\xdef\tkzprintfrac{$     \frac{\tkzMathFirstResult}{\tkzMathSecondResult}$}%
+ \ifnum\tkzMathFirstResult=0%
+    \xdef\tkzprintfrac{$0$}%
+ \else
+ \ifnum\tkzMathSecondResult=1 %
+    \ifnum\tkzMathFirstResult=1 %
+         \xdef\tkzprintfrac{$1$}%
+      \else
+       \ifnum\tkzMathFirstResult=-1%
+          \xdef\tkzprintfrac{$-1$}%
+        \else
+          \xdef\tkzprintfrac{$\tkzMathFirstResult$}%
+       \fi\fi
+ \else 
+   \ifnum\tkzMathFirstResult=1 %
+          \xdef\tkzprintfrac{$\tkzmathstyle\frac{1}{\tkzMathSecondResult}$}%
+     \else
+       \ifnum\tkzMathFirstResult=-1 %
+      \xdef\tkzprintfrac{$\tkzmathstyle\frac{-1}{\tkzMathSecondResult}$}%
+        \else
+     \xdef\tkzprintfrac{$\tkzmathstyle\frac{\tkzMathFirstResult}{%
+                             \tkzMathSecondResult}$}%
+ \fi\fi\fi\fi   
+\endgroup}
+%<------------- tkzPrintFracWithPi ---------------------------------->
+\def\tkzPrintFracWithPi#1#2{%
+\begingroup
+\tkzReducFrac{#1}{#2}
+\xdef\tkzprintfrac{%
+           $\tkzmathstyle\frac{\tkzMathFirstResult\pi}{\tkzMathSecondResult}$}%
+\ifnum\tkzMathFirstResult=0%
+    \xdef\tkzprintfrac{$0$}%
+\else
+	\ifnum\tkzMathSecondResult=1 %
+    	\ifnum\tkzMathFirstResult=1 %
+        	\xdef\tkzprintfrac{$\pi$}%
+      	\else
+       		\ifnum\tkzMathFirstResult=-1%
+          		\xdef\tkzprintfrac{$-\pi$}%
+        	\else
+          		\xdef\tkzprintfrac{$\tkzMathFirstResult\pi$}%
+       		\fi
+		\fi
+	\else 
+   		\ifnum\tkzMathFirstResult=1 %
+    		\xdef\tkzprintfrac{%
+								$\tkzmathstyle\frac{\pi}{\tkzMathSecondResult}$
+									}%
+     	\else
+       		\ifnum\tkzMathFirstResult=-1 %
+        		\xdef\tkzprintfrac{$\tkzmathstyle\frac{-\pi}{%
+	        	 			\tkzMathSecondResult}$}%
+        	\else
+         		\xdef\tkzprintfrac{$\tkzmathstyle\frac{%
+					  					   \tkzMathFirstResult\pi}{%
+                             			   \tkzMathSecondResult}$
+										   }%
+     		\fi
+	  	\fi
+	\fi
+\fi   
+\endgroup
+}%
+
+\makeatother
+\endinput
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-text.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-text.tex
new file mode 100644
index 00000000000..c676da2402a
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-text.tex
@@ -0,0 +1,82 @@
+% tkz-tools-text.tex
+% Copyright 2011 by Alain Matthes
+% This file may be distributed and/or modified
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c  tkz-tools-text.tex}   
+\makeatletter
+%<--------------------------------------------------------------------------–>
+%                                         tkzText
+%<--------------------------------------------------------------------------–>
+\def\tkz@parsenode#1{%
+\tkz@getvirg#1,\@nil
+\iftkz@node  
+\else
+  \tkz@getfromcart#1\@nil   
+\fi  
+}   
+\def\tkz@getvirg#1,#2\@nil{%
+\ifx\tkzempty#2\tkzempty%
+   \tkz@nodetrue 
+\else
+   \tkz@nodefalse  
+\fi
+}      
+\def\tkzText{\pgfutil@ifnextchar[{\tkz@Text}{\tkz@Text[]}}
+\def\tkz@Text[#1](#2)#3{%
+ \begingroup
+    \tkz@parsenode{#2} 
+ \iftkz@node 
+   \node[#1] at (#2){#3}; 
+ \else
+  \edef\tkzpt@xa{\fpeval{(\tkz@absc-\tkz@init@xorigine)/\tkz@init@xstep}}
+  \edef\tkzpt@ya{\fpeval{(\tkz@ord-\tkz@init@yorigine)/\tkz@init@ystep}}
+  \node[#1] at (\tkzpt@xa,\tkzpt@ya){#3};% 
+  \fi
+\endgroup
+}%
+% %<--------------------------------------------------------------------------–>
+% %                                    légende
+% %<--------------------------------------------------------------------------–>
+\pgfkeys{/tkzlegend/.cd,  
+   line/.is if                 =    tkz@legend@line,
+   line/.default               =    true,
+   line                 =  false,
+   /tkzlegend/.search also     =    {/tikz}, 
+}
+\def\tkzLegend{\pgfutil@ifnextchar[{\tkz@Legend}{\tkz@Legend[]}} 
+\def\tkz@Legend[#1](#2,#3)#4{%
+\pgfqkeys{/tkzlegend}{#1}
+\begingroup  
+  \c@pgfmath@counta=0 %
+  \edef\tkzpt@xa{\fpeval{(#2-\tkz@init@xorigine)/\tkz@init@xstep}}
+  \edef\tkzpt@ya{\fpeval{(#3-\tkz@init@yorigine)/\tkz@init@ystep}}
+  \node[/tkzlegend/.cd,#1] at (\tkzpt@xa,\tkzpt@ya) {%
+\begin{tikzpicture}
+   \foreach \motif/\size/\col/\mtext in {#4}{%
+       \iftkz@legend@line
+          \draw[color      = \col,
+                line width = \size,
+                style      = \motif,
+                text       = \tkz@mainlinecolor]%
+          (0cm ,\the\c@pgfmath@counta ex)--%
+               (\tkz@legend@line@len,\the\c@pgfmath@counta ex) 
+       \else  
+          \draw plot[mark size    = \size,%
+                     mark         = \motif,%
+                     mark options = {color=\col}]%
+           coordinates{(0 ex,\the\c@pgfmath@counta ex)}%
+         \fi
+           node[right=1ex] {\mtext};
+          \global\advance\c@pgfmath@counta by 3 %  
+       }% 
+
+\end{tikzpicture}%
+};% 
+\endgroup
+}   
+
+\makeatother
+\endinput
+\ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-utilities.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-utilities.tex
index 412ad2d8d30..cba0a88f804 100644
--- a/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-utilities.tex
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-utilities.tex
@@ -1,15 +1,20 @@
+% tkz-tools-utilities
 % Copyright 2011 by Alain Matthes
-%
 % This file may be distributed and/or modified
-%
 % 1. under the LaTeX Project Public License and/or
 % 2. under the GNU Public License.
+\def\fileversion{3.01c}
+\def\filedate{2020/01/23} 
+\typeout{2020/01/23 3.01c  tkz-tools-utilities.tex}  
+\makeatletter
+% for testing results
+\def\extractxy#1{%
+\pgfextractx{\pgf@x}{\pgfpointanchor{#1}{center}}
+\pgfextracty{\pgf@y}{\pgfpointanchor{#1}{center}}
+\typeout{#1 \the\pgf@x,\the\pgf@y} 
+} 
 
-
-\def\fileversion{1.16 d}
-\def\filedate{2018/09/19}
-
-%<--------------------------------------------------------------------------–>
+%<-------------- some tools -------------------------------------------------> 
 \def\tkzutil@empty{}
 \def\tkzutil@firstofone#1{#1}
 \def\tkzutil@firstoftwo#1#2{#1}
@@ -22,150 +27,70 @@
     \expandafter\tkzutil@secondoftwo
   \fi} 
 %<--------------------------------------------------------------------------–>
+\long\def\iftkznodedefined#1#2#3{%
+    \tkzutil@ifundefined{pgf@sh@ns@#1}{#3}{#2}%
+}
 %<--------------------------------------------------------------------------–>
-\global\def\tkzActivOff{%
-\edef\tkzTwoPtCode{\the\catcode`\:} 
-\edef\tkzPtExCode{\the\catcode`\!} 
-\edef\tkzPtVirCode{\the\catcode`\;} 
-\catcode`\:=12 \catcode`\!=12 \catcode`\;=12}%
-\global\def\tkzActivOn{%
-\catcode`\:=\tkzTwoPtCode\relax
-\catcode`\!=\tkzPtExCode\relax
-\catcode`\;=\tkzPtVirCode\relax
+\gdef\tkzActivOff{%
+   \edef\tkzTwoPtCode{\the\catcode`\:} 
+   \edef\tkzPtExCode{\the\catcode`\!} 
+   \edef\tkzPtVirCode{\the\catcode`\;} 
+   \catcode`\:=12 \catcode`\!=12 \catcode`\;=12
+   }%
+\gdef\tkzActivOn{%
+   \catcode`\:=\tkzTwoPtCode\relax
+   \catcode`\!=\tkzPtExCode\relax
+   \catcode`\;=\tkzPtVirCode\relax
 }% 
- 
-%<----------------------------– autres tools -------------------------------->   
-%<--------------------------  Initialisation -------------------------------->   
-\pgfkeys{
-/tkzsupcol/.cd,
-  background/.code    = {\global\edef\tkz@suc@bkc{#1}},%
-  text/.code          = {\global\edef\tkz@suc@txt{#1}}, 
-} 
-\def\tkzSetUpColors{\pgfutil@ifnextchar[{\tkz@SetUpColors}{\tkz@SetUpColors[]}} 
-\def\tkz@SetUpColors[#1]{%
-\begingroup
-\pgfkeys{%
-tkzsupcol/.cd,
-  background  = \tkz@backgroundcolor,
-  text        = \tkz@textcolor
-  }
-\pgfqkeys{/tkzsupcol}{#1} 
-\global\edef\tkz@fillcolor{\tkz@suc@bkc}   
-\global\edef\tkz@mainlinecolor{\tkz@suc@txt}
-\global\edef\tkz@textcolor{\tkz@suc@txt}
-\global\def\tkz@otherlinecolor{\tkz@suc@txt!50}
-\global\edef\tkz@sua@color{\tkz@mainlinecolor}       
-\pagecolor{\tkz@suc@bkc}
-\color{\tkz@suc@txt}  
- \InputIfFileExists{tkz-base.cfg}{\typeout{Local configuration file tkz-param.cfg found and used}}{\typeout{tkz-base.cfg not found}  
-%<---------   axes cartesian system  ---------------------------------------–>  
-\global\edef\tkz@init@color{\tkz@textcolor} 
-\global\def\tkz@init@lw{0.4 pt}
-\global\def\tkz@init@xlabel{$x$}
-\global\def\tkz@init@ylabel{$y$}  
-\global\def\tkz@init@tickwd{0.8 pt}
-\global\def\tkz@init@ticka{2 pt}  
-\global\def\tkz@init@tickb{2 pt}
-\global\def\tkz@init@rightspace{.5} 
-\global\def\tkz@init@leftspace{0}
-\global\def\tkz@init@upspace{.5} 
-\global\def\tkz@init@downspace{0}
-\global\let\tkzmathstyle\displaystyle   
-\tikzset{xlabel style/.style={below=3 pt,
-                              inner sep = 1pt,
-                              outer sep = 0pt}}
-\tikzset{xaxe style/.style ={>=latex,->}}
-\tikzset{ylabel style/.style={left = 3 pt,
-                              inner sep = 1pt,
-                              outer sep = 0pt}}
-\tikzset{yaxe style/.style ={>=latex,->}} 
-%<--------------------------   rep  ---------------------------------------–>
-\global\edef\tkz@sur@color{\tkz@mainlinecolor}
-\global\edef\tkz@sur@colorlabel{\tkz@mainlinecolor}
-\global\def\tkz@sur@lw{0.8 pt}
-\global\def\tkz@sur@posxlabel{below=2pt}
-\global\def\tkz@sur@posylabel{left=2pt} 
-%<--------------------------   grid  ---------------------------------------–>
-\global\edef\tkz@grid@color{gray}
-\global\def\tkz@grid@lw{0.4 pt}
-\global\def\tkzCoeffSubColor{50} 
-\global\def\tkzCoeffSubLw{0.8}
-\global\def\tkz@grid@xstep{0.2}
-\global\def\tkz@grid@ystep{0.2}  
-%<--------------------------   line  ---------------------------------------–>
-\global\edef\tkz@euc@linecolor{\tkz@mainlinecolor}
-\global\def\tkz@euc@linewidth{0.6pt}
-\global\def\tkz@euc@linestyle{solid}
-\global\def\tkz@euc@lineleft{.2}
-\global\def\tkz@euc@lineright{.2}
-\global\def\tkz@legend@line@len{1cm}  
-\global\edef\tkz@euc@segmentcolor{\tkz@mainlinecolor}
-\global\edef\tkz@euc@circlecolor{\tkz@mainlinecolor}
-\tikzset{line style/.style={%
-         line width = \tkz@euc@linewidth,
-         color      = \tkz@euc@linecolor,
-         style      = \tkz@euc@linestyle,
-         add        = {\tkz@euc@lineleft} and {\tkz@euc@lineright}}}  
-%<--------------------------    points   -----------------------------------–>
-\global\edef\tkz@euc@pointshape{circle}
-\global\edef\tkz@euc@pointcolor{\tkz@mainlinecolor}
-\global\edef\tkz@euc@labelcolor{\tkz@mainlinecolor} 
-\global\def\tkz@euc@pointsize{6}
-\global\def\tkz@euc@pointpos{below right}
-\tikzset{point style/.style={draw         = \tkz@euc@pointcolor,
-                             inner sep    = 0pt,
-                             shape        = \tkz@euc@pointshape,
-                             minimum size = \tkz@euc@pointsize*\pgflinewidth,
-                             fill         = \tkz@euc@pointcolor!50}}  
-%<----------------------------    mark   -----------------------------------–> 
-\global\edef\tkz@mk@color{\tkz@mainlinecolor}   
-\global\edef\tkz@mk@mark{*}
-\global\edef\tkz@mk@size{3pt}
-\global\edef\tkz@mk@fill{\tkz@otherlinecolor} 
-\tikzset{mark style/.style={mark=\tkz@mk@mark,mark size=\tkz@mk@size,mark options={color=\tkz@mk@color,fill=\tkz@mk@fill}}}
-\tikzset{arrow coord style/.style={dashed,
-                             \tkz@euc@linecolor,
-                             >=latex',
-                             ->}}
-\tikzset{xcoord style/.style={\tkz@euc@labelcolor,
-                           font=\normalsize,text height=1ex,
-                           inner sep = 0pt,
-                           outer sep = 0pt,
-                           fill=\tkz@fillcolor,
-                           below=3pt}} 
-\tikzset{ycoord style/.style={\tkz@euc@labelcolor,
-                           font=\normalsize,text height=1ex, 
-                           inner sep = 0pt,
-                           outer sep = 0pt, 
-                           fill=\tkz@fillcolor,
-                           left=3pt}}  
-%<---------------------------  vector --------------------------------------–>
-\tikzset{vector style/.style={>=latex,->}}   
-%<-------------------------    compass   -----------------------------------–> 
-\global\edef\tkz@euc@compasscolor{\tkz@otherlinecolor}
-\global\def\tkz@euc@compasswidth{0.4pt}
-\global\def\tkz@euc@compassstyle{solid}  
-\tikzset{compass style/.style={color      = \tkz@euc@compasscolor,
-                               line width = \tkz@euc@compasswidth,
-                               style      = \tkz@euc@compassstyle}}    
+%<------  Initialisation of the colors with tkzSetUpColors  -----------------> 
+% Première macro SetUpColors %%%%%%%%%%%%%%%%%%%%%
+%Possible
+\pgfkeys{/setupcolor/.is family}
+\def\setupcolorkeys#1{%
+   \pgfkeys{/setupcolor,#1}}
+\setupcolorkeys{
+   background/.estore in   =  \setupcolor@background,
+   text/.estore in         =  \setupcolor@text,
+   @initial/.style         =  {background=white,text=black},
+   @apply/.code         =  {\pagecolor{\setupcolor@background}%
+                                    \color{\setupcolor@text}%
+ },
 }
-\endgroup}
+\def\tkzSetUpColors{\pgfutil@ifnextchar[{\tkz@SetUpColors}{\tkz@SetUpColors[]}}
+\def\tkz@SetUpColors[#1]{\setupcolorkeys{@initial,#1,@apply}}
 
+%<------  Initialisation of all colors   -----------------> 
+\pgfkeys{/tkzsupallcol/.cd,
+         background/.store in       = \tkz@suac@bkc,
+         text/.store in             = \tkz@suac@txt,
+         background              = \tkz@backgroundcolor,% see tkz-base.cfg
+         text                    = \tkz@textcolor% idem
+        } 
+\def\tkzSetUpAllColors{\pgfutil@ifnextchar[{\tkz@SetUpAllColors}{%
+                                 \tkz@SetUpAllColors[]}} 
+\def\tkz@SetUpAllColors[#1]{%
+   \pgfqkeys{/tkzsupallcol}{#1} % now we redine the based colors
+   \def\tkz@fillcolor{\tkz@suac@bkc}   
+   \def\tkz@mainlinecolor{\tkz@suac@txt}
+   \def\tkz@textcolor{\tkz@suac@txt}
+   \def\tkz@otherlinecolor{\tkz@suac@txt!50}
+   \def\tkz@sua@color{\tkz@suac@txt} 
+   \tkzSetUpAxis[color=\tkz@suac@txt]
+   \tkzSetUpGrid[color=\tkz@suac@txt]      
+   \pagecolor{\tkz@suac@bkc}
+   \color{\tkz@suac@txt}  
+}
 %<--------------------------------------------------------------------------–>
 %              Pour savoir le nombre de décimales d'un nombre
 % le nombre dans #1 et le résultat dans \c@pgfmath@countb
 %<--------------------------------------------------------------------------–>
-
-\newcommand*\tkz@getdecimal[1]{%
-  \expandafter\@getdecimal#1.\@nil
-}
-
+\newcommand\tkz@getdecimal[1]{\expandafter\@getdecimal#1.\@nil}
 \def\@getdecimal#1.#2\@nil{%
   \ifx\empty#2\empty
     % Si #2 est vide, c'est qu'il n'y avait pas de point
     % dans la chaîne initiale
     \c@pgfmath@countb0 %
-   \global\def\tkz@decpart{}%
+   \gdef\tkz@decpart{}%
   \else
     % sinon c'est la chaîne qui suit le point décimal...
     \CountToken{#2}%
@@ -174,8 +99,8 @@ tkzsupcol/.cd,
     \@@getdecimal#2\@nil
   \fi
 }
-\def\@@getdecimal#1.\@nil{\global\def\tkz@decpart{#1}}
-%<--------------------------------------------------------------------------–>
+\def\@@getdecimal#1.\@nil{\gdef\tkz@decpart{#1}}
+%<---------------------------------------------------------–>
 % code from JCC modifi
 \newcommand\CountToken[1]{%
  \c@pgfmath@countb0 %
@@ -192,12 +117,10 @@ tkzsupcol/.cd,
  \fi
 }
 % end code from JCC    
-
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+%<---------------------------------------------------------–>
 %            Tools
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+%<---------------------------------------------------------–>
 %<–––––––– code from TeX in Practice ––––––––>
-\newif\if@TestSubString
 \def\SubStringConditional #1#2{%
     TT\fi
     \edef\@MainString{#1}%
@@ -210,13 +133,12 @@ tkzsupcol/.cd,
     }% 
     \@TestSubS #1#2\\
     \ifx\@MainString\@TestTemp
-        \@TestSubStringfalse
+        \tkz@TestSubStringfalse
     \else
-        \@TestSubStringtrue
+        \tkz@TestSubStringtrue
     \fi
-    \if@TestSubString
+    \iftkz@TestSubString
 }
-
 \def\RecursionMacroEnd #1#2#3{% 
     #1\relax
         \def\@RecursionMacroEndNext{#2}% 
@@ -225,7 +147,6 @@ tkzsupcol/.cd,
     \fi
     \@RecursionMacroEndNext
 }
-
 \def\ReplaceSubStrings #1#2#3#4{%
     \def\@ReplaceResult{#1}%
     \edef\@ReplaceMain{#2}%
@@ -250,89 +171,12 @@ tkzsupcol/.cd,
         \@EndReplaceSubStrings
     \@ReplaceSubStrings
 }
-\def\tkzPrintFrac#1#2{% 
-\begingroup
-\tkzReducFrac{#1}{#2}
-\global\edef\tkzprintfrac{$     \frac{\tkzMathFirstResult}{\tkzMathSecondResult}$}%
- \ifnum\tkzMathFirstResult=0%
-    \global\edef\tkzprintfrac{$0$}%
- \else
- \ifnum\tkzMathSecondResult=1 %
-    \ifnum\tkzMathFirstResult=1 %
-         \global\edef\tkzprintfrac{$1$}%
-      \else
-       \ifnum\tkzMathFirstResult=-1%
-          \global\edef\tkzprintfrac{$-1$}%
-        \else
-          \global\edef\tkzprintfrac{$\tkzMathFirstResult$}%
-       \fi\fi
- \else 
-   \ifnum\tkzMathFirstResult=1 %
-          \global\edef\tkzprintfrac{$\tkzmathstyle\frac{1}{\tkzMathSecondResult}$}%
-     \else
-       \ifnum\tkzMathFirstResult=-1 %
-      \global\edef\tkzprintfrac{$\tkzmathstyle\frac{-1}{\tkzMathSecondResult}$}%
-        \else
-     \global\edef\tkzprintfrac{$\tkzmathstyle\frac{\tkzMathFirstResult}{%
-                             \tkzMathSecondResult}$}%
- \fi\fi\fi\fi   
-\endgroup}
-%<--------------------------------------------------------------------------->
-\def\tkzPrintFracWithPi#1#2{% 
-\begingroup
-\tkzReducFrac{#1}{#2}
-\global\edef\tkzprintfrac{$\tkzmathstyle\frac{\tkzMathFirstResult\pi}{\tkzMathSecondResult}$}%
- \ifnum\tkzMathFirstResult=0%
-    \global\edef\tkzprintfrac{$0$}%
- \else
- \ifnum\tkzMathSecondResult=1 %
-    \ifnum\tkzMathFirstResult=1 %
-         \global\edef\tkzprintfrac{$\pi$}%
-      \else
-       \ifnum\tkzMathFirstResult=-1%
-          \global\edef\tkzprintfrac{$-\pi$}%
-        \else
-          \global\edef\tkzprintfrac{$\tkzMathFirstResult\pi$}%
-       \fi\fi
- \else 
-   \ifnum\tkzMathFirstResult=1 %
-          \global\edef\tkzprintfrac{$\tkzmathstyle\frac{\pi}{\tkzMathSecondResult}$}%
-     \else
-       \ifnum\tkzMathFirstResult=-1 %
-      \global\edef\tkzprintfrac{$\tkzmathstyle\frac{-\pi}{\tkzMathSecondResult}$}%
-        \else
-     \global\edef\tkzprintfrac{$\tkzmathstyle\frac{\tkzMathFirstResult\pi}{%
-                             \tkzMathSecondResult}$}%
- \fi\fi\fi\fi   
-\endgroup}%
-
-%<--------------------------------------------------------------------------->
-% chargement des modules
-\def\tkz@obj@all{polygons,vectors,arcs,sectors,angles,protractor}
-\def\tkz@obj@txt{all}
-\def\usetkzobj{\pgfutil@ifnextchar[{\use@usetkzobj}{\use@@usetkzobj}}%}
-\def\use@usetkzobj[#1]{\use@@usetkzobj{#1}}
-\def\use@@usetkzobj#1{% 
-  \def\tkz@list{#1}
-  \ifx\tkz@obj@txt\tkz@list \edef\tkz@list{\tkz@obj@all}% 
-      \else  
-      \edef\tkz@list{#1}%
-    \fi
-  %\edef\tkz@list{#1}%
-  \pgfutil@for\tkz@temp:=\tkz@list\do{%
-    \expandafter\ifx\csname tkz@library@\tkz@temp @loaded\endcsname\relax%
-      \expandafter\global\expandafter\let\csname tkz@library@\tkz@temp @loaded\endcsname=\pgfutil@empty%
-      \expandafter\edef\csname tkz@obj@#1@atcode\endcsname{\the\catcode`\@}
-      \expandafter\edef\csname tkz@obj@#1@barcode\endcsname{\the\catcode`\|}
-      \catcode`\@=11
-      \catcode`\|=12   
-      \input tkz-obj-\tkz@temp.tex 
-            \catcode`\@=\csname tkz@obj@#1@atcode\endcsname
-      \catcode`\|=\csname tkz@obj@#1@barcode\endcsname  
-    \fi%
-  }%
-}%
-\def\DisabledNumprint{\let\tkz@numprint\numprint
-\let\numprint\relax}
+%<---------------------------------------------------------–>
+\def\DisabledNumprint{%
+      \let\tkz@numprint\numprint
+      \let\numprint\relax
+      }
 \def\EnabledNumprint{\let\numprint\tkz@numprint} 
+%<---------------------------------------------------------–>
+\makeatother
 \endinput
 \ No newline at end of file
author	Karl Berry <karl@freefriends.org>	2020-01-24 21:42:09 +0000
committer	Karl Berry <karl@freefriends.org>	2020-01-24 21:42:09 +0000
commit	d5adeaeb325c83b945dd89cac45b12a7410fd32d (patch)
tree	5c8d765869ef8d8b5341843be54425b273a7e36b /Master/texmf-dist/tex/latex
parent	d5e02a3c654b675d1b86fc22a822fa03d884d1e2 (diff)