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-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-base.cfg131
-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-base.sty195
-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-obj-marks.tex135
-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-obj-points.tex519
-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-obj-segments.tex142
-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-tools-arith.tex212
-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-tools-base.tex700
-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-tools-math.tex688
-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-tools-misc.tex181
-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-tools-obsolete.tex219
-rw-r--r--Master/texmf-dist/tex/latex/tkz-base/tkz-tools-utilities.tex338
11 files changed, 3460 insertions, 0 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
new file mode 100644
index 00000000000..14c17857837
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-base.cfg
@@ -0,0 +1,131 @@
+% 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 c}
+\def\filedate{2011/06/01}
+\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}
+\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,->}}
+%<-------------------------- 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}
+\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}
+%<--------------------------------------------------------------------------–>
+\makeatother
+\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
new file mode 100644
index 00000000000..fdd47e29895
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-base.sty
@@ -0,0 +1,195 @@
+% 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.
+% 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
+%<--------------------------------------------------------------------------–>
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{tkz-base}[2011/06/01 1.16 c tkz-base]
+\RequirePackage{etex}
+\RequirePackage{tikz}
+\usetikzlibrary{calc,%
+ arrows,%
+ plotmarks,%
+ positioning,%
+ shapes.misc,%
+ decorations,%
+ decorations.markings,%
+ decorations.pathreplacing,
+ patterns}
+% Pour les les labels sur les axes
+\@ifpackageloaded{numprint}{}
+{\RequirePackage[autolanguage]{numprint}} %
+\RequirePackage{fp}
+% pas de messages de la part de fp !
+\FPmessagesfalse%
+\newdimen\tkzRadius
+\newdimen\tkzLength
+\newdimen\tkz@radi
+\newdimen\tkz@ax
+\newdimen\tkz@ay
+\newdimen\tkz@bx
+\newdimen\tkz@by
+\newdimen\tkz@cx
+\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
+\newif\iftkz@X@noticks
+\newif\iftkz@X@nograd
+\newif\iftkz@X@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}
+\endinput
+
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
new file mode 100644
index 00000000000..adb51bec600
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-marks.tex
@@ -0,0 +1,135 @@
+% 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 c}
+\def\filedate{2011/06/01}
+
+
+%<-------------------------------------------------------------------------–>
+% 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
+ \pgfkeysalso{\searchname/.try=#1,
+ /tikz/\searchname/.retry=#1}}
+}
+\def\tkzDefSetOfPoints{\pgfutil@ifnextchar[{\tkz@SetOfPoints}{%
+ \tkz@SetOfPoints[]}}
+\def\tkz@SetOfPoints[#1]#2{%
+\begingroup
+\pgfkeys{%
+/tkzSoPt/.cd,
+prefix=tkzPt}
+\pgfqkeys{/tkzSoPt}{#1}
+ \tkz@cntmk1 %
+ \edef\tkz@@cnt{\the\tkz@cntmk}
+ \foreach \x/\y in {#2}{%
+ \tkz@cntmk=\tkz@@cnt %
+ \tkzDefPoint(\x,\y){\tkz@pref\the\tkz@cntmk}
+ \advance\tkz@cntmk by1 %
+ \global\edef\tkz@@cnt{\the\tkz@cntmk}
+ }%
+\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}}
+}
+\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);}
+\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}}
+}
+\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)}
+\endgroup}
+
+%<-------------------------------------------------------------------------–>
+% tkzmark
+%<-------------------------------------------------------------------------–>
+\def\tkzDrawMark{\pgfutil@ifnextchar[{\tkz@DrawMark}{\tkz@DrawMark[]}}
+\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,
+}}
+
+%<--------------------------------------------------------------------------–>
+% 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}}
+}
+
+\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}}}
+}%
+
+%<--------------------------------------------------------------------------–>
+\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
new file mode 100644
index 00000000000..d4e5e982fef
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-points.tex
@@ -0,0 +1,519 @@
+% 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 c}
+\def\filedate{2011/06/01}
+
+
+%<--------------------------------------------------------------------------–>
+% init def point
+%<--------------------------------------------------------------------------–>
+\newif\iftkz@polar\tkz@polarfalse
+\newif\iftkz@pt@polar
+\newif\iftkz@pt@show
+\newif\iftkz@pt@noname
+
+
+%<--------------------------------------------------------------------------–>
+\pgfdeclareshape{cross}
+{%
+ \inheritsavedanchors[from=rectangle] % this is nearly a rectangle
+ \inheritanchorborder[from=rectangle]
+ \inheritanchor[from=rectangle]{north}
+ \inheritanchor[from=rectangle]{north west}
+ \inheritanchor[from=rectangle]{north east}
+ \inheritanchor[from=rectangle]{center}
+ \inheritanchor[from=rectangle]{west}
+ \inheritanchor[from=rectangle]{east}
+ \inheritanchor[from=rectangle]{mid}
+ \inheritanchor[from=rectangle]{mid west}
+ \inheritanchor[from=rectangle]{mid east}
+ \inheritanchor[from=rectangle]{base}
+ \inheritanchor[from=rectangle]{base west}
+ \inheritanchor[from=rectangle]{base east}
+ \inheritanchor[from=rectangle]{south}
+ \inheritanchor[from=rectangle]{south west}
+ \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}}
+ }
+}
+%<--------------------------------------------------------------------------–>
+% tkzDefPoint
+%<--------------------------------------------------------------------------–>
+
+%<--------------------------------------------------------------------------–>
+% macros complémentaires pour def point
+%<--------------------------------------------------------------------------–>
+\def\tkz@parsecoordinate#1{%
+\tkz@getseparator#1,\@nil
+\iftkz@polar
+ \tkz@getfrompolar#1\@nil
+\else
+ \tkz@getfromcart#1\@nil
+\fi
+}
+\def\tkz@getseparator#1,#2\@nil{%
+\ifx\tkzempty#2\tkzempty%
+ \tkz@polartrue
+\else
+ \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@getfromcart#1,#2\@nil{
+ \FPeval\tkz@x{(#1)}
+ \FPeval\tkz@y{(#2)}
+\global\edef\tkz@absc{\tkz@x}
+\global\edef\tkz@ord{\tkz@y}
+}
+%<--------------------------------------------------------------------------–>
+% la macro defpoint les coordonnées cartésiennes ou polaires sont traitées
+% afin de pouvoir adaptées avec les unités choisies
+%<--------------------------------------------------------------------------–>
+%<--------------------------------------------------------------------------–>
+\def\tkzDefPoint{\pgfutil@ifnextchar[{\tkzActivOff\tkz@DefPoint}{%
+ \tkzActivOff\tkz@DefPoint[]}}
+
+\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);
+}
+%<--------------------------------------------------------------------------–>
+% tkzDefPoints
+%<--------------------------------------------------------------------------–>
+\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}}
+}
+%<--------------------------------------------------------------------------–>
+% tkzSetUpPoint définit la forme d'un point
+%<--------------------------------------------------------------------------–>
+\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}
+\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}}}%
+%<--------------------------------------------------------------------------–>
+%<--------------------------------------------------------------------------–>
+% 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}}} }
+
+\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) {};
+\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) {};}
+\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);%
+ \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}
+}%
+
+\def\tkzDefShiftPoint[#1](#2)#3{%
+ \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}}
+\def\tkzLabelPoint{\pgfutil@ifnextchar[{\tkz@LabelPoint}{\tkz@LabelPoint[]}}
+\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) {$\point$};}
+}%
+%<--------------------------------------------------------------------------–>
+% 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}}
+}
+ \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
+\ifx\tkzutil@empty\tkz@xlabel
+\else
+ \protected@edef\tkz@temp{%
+ \noexpand\path (#2)--(#2 |- tkz@xline)
+ \noexpand node[xcoord style]}\tkz@temp {\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};
+\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 !!! %<--------------------------------------------------------------------------–>
+\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}
+\endgroup
+}
+
+\def\tkz@@extractxy#1{%
+\pgfextractx{\pgf@x}{\pgfpointanchor{#1}{center}}
+\pgfextracty{\pgf@y}{\pgfpointanchor{#1}{center}}
+}
+\let\tkzGetPointxy\tkzGetPointCoord
+%<--------------------------------------------------------------------------–>
+
+\endinput
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
new file mode 100644
index 00000000000..f8ad21b85b9
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-obj-segments.tex
@@ -0,0 +1,142 @@
+% 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 c}
+\def\filedate{2011/06/01}
+
+%<--------------------------------------------------------------------------–>
+% 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-arith.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-arith.tex
new file mode 100644
index 00000000000..8c087c45479
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-arith.tex
@@ -0,0 +1,212 @@
+% 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 c}
+\def\filedate{2011/06/01}
+
+
+%<--------------------------------------------------------------------------–>
+% Objet : tools for arithmetic
+%<--------------------------------------------------------------------------–>
+% [About integers numbers]
+%<--------------------------------------------------------------------------–>
+\ProvidesFile{tkz-tool-arith.tex}[tkz-tool-arith 1.13 c]
+\edef\tkzAtCode{\the\catcode`\@}
+\catcode`\@=11\relax
+%<--------------------------------------------------------------------------–>
+% arithmetic tools
+%<--------------------------------------------------------------------------–>
+
+\tkzutil@ifundefined{pgfmath@function@gcd}{%
+\pgfmathdeclarefunction{gcd}{2}{%
+ \begingroup%
+ \pgfmathcontinuelooptrue
+ \pgfmath@xa=#1pt\relax%
+ \pgfmath@xb=#2pt\relax%
+ \ifdim\pgfmath@xa=0pt \pgfmathcontinueloopfalse
+ \pgfmath@xa=\pgfmath@xb
+ \fi
+ \ifdim\pgfmath@xb=0pt \pgfmathcontinueloopfalse
+ \pgfmath@xb=\pgfmath@xa
+ \fi
+\loop
+\ifpgfmathcontinueloop
+ \ifdim \pgfmath@xa=\pgfmath@xb\pgfmathcontinueloopfalse
+ \else
+ \ifdim \pgfmath@xa>\pgfmath@xb
+ \advance \pgfmath@xa by-\pgfmath@xb
+ \else
+ \advance \pgfmath@xb by-\pgfmath@xa
+ \fi
+ \fi
+ \repeat
+ \edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@xa}}%
+ \pgfmath@smuggleone\pgfmathresult
+ \endgroup
+}
+}{}
+%<--------------------------------------------------------------------------->
+
+\tkzutil@ifundefined{pgfmath@function@isprime}{%
+\newif\ifpgf@unknown
+\newif\ifpgf@isaprime
+\pgfmathdeclarefunction{isprime}{1}{%
+ \begingroup%
+\pgf@unknowntrue
+\c@pgfmath@counta#1\relax%
+ \ifcase#1\relax
+ % |#1| = 0
+ \pgf@isaprimefalse\pgf@unknownfalse
+ \or
+ % |#1| = 1
+ \pgf@isaprimefalse\pgf@unknownfalse
+ \or
+% |#1| = 2
+ \pgf@isaprimetrue\pgf@unknownfalse
+ \or
+% |#1| = 3
+ \pgf@isaprimetrue\pgf@unknownfalse
+ \else
+ % |#1| > 3
+ \ifodd#1\relax
+ \else
+ \pgf@isaprimefalse\pgf@unknownfalse
+ \fi
+ \fi
+\ifpgf@unknown
+\c@pgfmath@countd=\thr@@ \pgf@isaprimetrue
+ \loop
+ \c@pgfmath@countb=\c@pgfmath@counta
+ \divide\c@pgfmath@countb by\c@pgfmath@countd
+ \ifnum\c@pgfmath@countb>\c@pgfmath@countd \pgf@unknowntrue
+ \else\pgf@unknownfalse\fi
+ \multiply\c@pgfmath@countb by\c@pgfmath@countd
+ \ifnum\c@pgfmath@countb=\c@pgfmath@counta
+ \global\pgf@isaprimefalse\pgf@unknownfalse\fi
+ \ifpgf@unknown\advance\c@pgfmath@countd by 2\relax%
+ \repeat
+\fi
+\ifpgf@isaprime
+ \def\pgfmathresult{1}%
+\else
+ \def\pgfmathresult{0}%
+\fi
+ \pgfmath@smuggleone\pgfmathresult%
+\endgroup
+}}{}
+%<--------------------------------------------------------------------------->
+\tkzutil@ifundefined{pgfmath@function@isodd}{%
+\pgfmathdeclarefunction{isodd}{1}{%
+\begingroup
+\ifodd #1 \def\pgfmathresult{1}%
+\else\def\pgfmathresult{0}%
+\fi
+ \pgfmath@smuggleone\pgfmathresult%
+\endgroup}
+}{}
+%<--------------------------------------------------------------------------->
+\pgfmathdeclarefunction{isfactor}{2}{%
+\begingroup
+\c@pgfmath@counta#1\relax%
+\c@pgfmath@countb#2\relax%
+\c@pgfmath@countc#1\relax%
+\divide\c@pgfmath@counta by\c@pgfmath@countb%
+\multiply\c@pgfmath@counta by\c@pgfmath@countb%
+\advance\c@pgfmath@countc by-\c@pgfmath@counta%
+\ifnum\c@pgfmath@countc=0 \def\pgfmathresult{1}%
+\else
+ \def\pgfmathresult{0}%
+ \fi
+\pgfmath@smuggleone\pgfmathresult%
+\endgroup}
+%<--------------------------------------------------------------------------->
+\def\tkzfactors#1{%
+\begingroup
+\c@pgfmath@countb#1
+\pgfmathisprime{\c@pgfmath@countb}%
+\ifnum\pgfmathresult=1
+ \number\c@pgfmath@countb\ % prime number
+\else% we can found factors
+\tkz@factors{#1}
+\fi
+\endgroup}%
+%<--------------------------------------------------------------------------–>
+\def\tkz@factors#1{%
+\begingroup
+\c@pgfmath@countb#1
+\c@pgfmath@countd2\relax
+ \loop
+ \ifodd\c@pgfmath@countb\relax%
+ \else
+ \divide\c@pgfmath@countb by2 %
+ \number\c@pgfmath@countd\ %
+ \repeat%
+%%%%%%%%%%%%%%
+\def\tkzprim@last{1}%
+\loop% first loop
+ \ifnum\c@pgfmath@countb>1\relax
+ \c@pgfmath@countd\tkzprim@last\relax
+ \c@pgfmath@countc1\relax
+%%%%%%%%%%%%%%
+\tkz@find@last
+%%%%%%%%%%%%%%
+ \divide\c@pgfmath@countb by\c@pgfmath@countd\relax
+ \number\c@pgfmath@countd\ % affiche le facteur
+\repeat% end first loop
+%%%%%%%%%%%%%%
+\endgroup%
+}%
+%<--------------------------------------------------------------------------->
+\def\tkz@find@last{%
+ \ifnum\c@pgfmath@countc>\z@
+ \edef\tkzprim@last{\the\c@pgfmath@countd}%
+ \advance\c@pgfmath@countd by2\relax% begins with 3
+ \c@pgfmath@counta\c@pgfmath@countb% macro mod !!
+ \c@pgfmath@countc\c@pgfmath@counta%
+ \divide\c@pgfmath@counta by\c@pgfmath@countd
+ \multiply\c@pgfmath@counta by\c@pgfmath@countd
+ \advance\c@pgfmath@countc by-\c@pgfmath@counta
+ \let\tkz@find@next=\tkz@find@last
+ \else
+ \let\tkz@find@next=\relax%
+ \fi
+ \tkz@find@next
+}%
+%<--------------------------------------------------------------------------->
+%<--------------------------------------------------------------------------->
+\def\tkzReducFrac#1#2{%
+\begingroup
+\ifnum#1<0\relax%
+ \c@pgfmath@counta=0\relax
+ \advance\c@pgfmath@counta by-#1
+ \else
+ \c@pgfmath@counta#1
+ \fi
+ \c@pgfmath@countb#2
+ \pgfmathgcd{\c@pgfmath@counta}{\c@pgfmath@countb}%
+ \pgfmathsetcount\c@pgfmath@countc{\pgfmathresult}
+ \ifnum\c@pgfmath@counta=0\relax
+ \c@pgfmath@counta#1
+ \c@pgfmath@countb#2
+ \else
+ \c@pgfmath@counta#1
+ \c@pgfmath@countb#2
+ \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}
+\endgroup}
+%<--------------------------------------------------------------------------->
+%<--------------------------------------------------------------------------->
+%<--------------------------------------------------------------------------->
+
+\catcode`\@=\tkzAtCode\relax
+\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
new file mode 100644
index 00000000000..7da17a198a4
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-base.tex
@@ -0,0 +1,700 @@
+% tkz-tools-base.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{1.16 c}
+\def\filedate{2011/06/01}
+
+%<--------------------------------------------------------------------------–>
+\global\let\@xa\tkz@init@xmin
+\global\let\@xb\tkz@init@xmax
+\global\let\@ya\tkz@init@ymin
+\global\let\@yb\tkz@init@ymax
+%<--------------------------------------------------------------------------–>
+\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 }
+
+\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}
+ \ifx\tkzfctloaded\undefined
+ \else
+ \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
+ \ifx\@xsgmin\@xsgmax \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}
+ \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}
+ \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}
+ \tkz@getdecimal{\tkz@init@xstep} % amélioration nb dec et integer
+ \global\edef\tkz@init@xdec{\number\c@pgfmath@countb}
+ \tkz@getdecimal{\tkz@init@ystep}
+ \global\edef\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};
+}%
+\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
new file mode 100644
index 00000000000..fecd512c0bb
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-math.tex
@@ -0,0 +1,688 @@
+% 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 c}
+\def\filedate{2011/06/01}
+
+
+
+% 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
+}%
+%<--------------------------------------------------------------------------–>
+% \tkzpointnormalised normalise un point A-->A' tq ||v(OA')=1||
+% équivalent de \pgfpointnormalised avec fp
+% example
+% \tkzpointnormalised{%
+% \pgfpointdiff{\pgfpointanchor{A}{center}}
+% {\pgfpointanchor{B}{center}}}
+
+% or
+% \pgf@x=1 cm
+% \pgf@y=12 cm
+% \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}
+\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
+% \veclen mais avec fp
+% option cm le résultat est en cm sinon en pt
+%<--------------------------------------------------------------------------–>
+
+\newif\iftkzLengthIncm
+\pgfkeys{
+DefVecLen/.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}%
+\begingroup
+\tkz@@CalcLength(#2,#3){tkzLengthResult}
+\iftkzLengthIncm
+ \FPdiv\tkzFPMathLen{\tkzFPMathLen}{28.45274}
+ \FPround\tkzFPMathLen\tkzFPMathLen5\relax%
+ \global\let\tkzLengthResult\tkzFPMathLen
+\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}
+}
+%<--------------------------------------------------------------------------–>
+\def\tkzGetLength#1{%
+\global\expandafter\edef\csname #1\endcsname{\tkzLengthResult}}
+%<--------------------------------------------------------------------------–>
+% \tkzpttocm passage de pt à 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}%
+\endgroup
+}%
+%<--------------------------------------------------------------------------–>
+% \tkzcmtopt passage de cm à 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}%
+\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}
+ \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
+}
+\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
new file mode 100644
index 00000000000..cb25c163b14
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-misc.tex
@@ -0,0 +1,181 @@
+% 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 c}
+\def\filedate{2011/06/01}
+
+
+%<--------------------------------------------------------------------------–>
+% 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
+}
+
+%<--------------------------------------------------------------------------–>
+% 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);%
+\endgroup
+}
+%<--------------------------------------------------------------------------–>
+% hlines pb avec line
+%<--------------------------------------------------------------------------–>
+\def\tkzHLines{\pgfutil@ifnextchar[{\tkz@HLines}{\tkz@HLines[]}}
+\def\tkz@HLines[#1]#2{%
+ \begingroup
+ \foreach \tkz@vy in {#2}{%
+ \FPeval\my@tkz@vy{\tkz@vy}
+ \tkz@HLine[#1]{\my@tkz@vy}}
+\endgroup
+}
+%<--------------------------------------------------------------------------->
+% vline
+%<--------------------------------------------------------------------------->
+\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}
+ \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}
+ \tkz@VLine[#1]{\my@tkz@vx}}
+\endgroup
+}
+%<--------------------------------------------------------------------------–>
+\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)};
+\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}}
+\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)};
+\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}}
+\endgroup
+}
+\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
new file mode 100644
index 00000000000..82f7e1bcbb0
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-obsolete.tex
@@ -0,0 +1,219 @@
+\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-utilities.tex b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-utilities.tex
new file mode 100644
index 00000000000..b8e99fe4272
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/tkz-base/tkz-tools-utilities.tex
@@ -0,0 +1,338 @@
+% 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 c}
+\def\filedate{2011/06/01}
+
+%<--------------------------------------------------------------------------–>
+\def\tkzutil@empty{}
+\def\tkzutil@firstofone#1{#1}
+\def\tkzutil@firstoftwo#1#2{#1}
+\def\tkzutil@secondoftwo#1#2{#2}
+%<--------------------------------------------------------------------------–>
+\long\def\tkzutil@ifundefined#1{%
+ \expandafter\ifx\csname#1\endcsname\relax
+ \expandafter\tkzutil@firstoftwo
+ \else
+ \expandafter\tkzutil@secondoftwo
+ \fi}
+%<--------------------------------------------------------------------------–>
+%<--------------------------------------------------------------------------–>
+\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
+}%
+
+%<----------------------------– 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}}
+}
+\endgroup}
+
+%<--------------------------------------------------------------------------–>
+% 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
+}
+
+\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{}%
+ \else
+ % sinon c'est la chaîne qui suit le point décimal...
+ \CountToken{#2}%
+ % ... y compris le point en trop ajouté par \tkz@getdecimal :-)
+ \advance\c@pgfmath@countb by-1 %
+ \@@getdecimal#2\@nil
+ \fi
+}
+\def\@@getdecimal#1.\@nil{\global\def\tkz@decpart{#1}}
+%<--------------------------------------------------------------------------–>
+% code from JCC modifi
+\newcommand\CountToken[1]{%
+ \c@pgfmath@countb0 %
+ \expandafter\C@untToken#1\@nil
+%modifi ajout du expandafter
+}
+\newcommand\C@untToken{%
+ \afterassignment\C@untT@ken\let\CurrT@ken=
+}
+\newcommand\C@untT@ken{%
+ \ifx\CurrT@ken\@nil \else
+ \advance\c@pgfmath@countb by1 %
+ \expandafter\C@untToken
+ \fi
+}
+% end code from JCC
+
+%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+% Tools
+%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+%<–––––––– code from TeX in Practice ––––––––>
+\newif\if@TestSubString
+\def\SubStringConditional #1#2{%
+ TT\fi
+ \edef\@MainString{#1}%
+ \edef\@SubStringConditionalTemp{{#1}{#2}}%
+ \expandafter\@SubStringConditional\@SubStringConditionalTemp
+}
+\def\@SubStringConditional #1#2{%
+ \def\@TestSubS ##1#2##2\\{%
+ \def\@TestTemp{##1}%
+ }%
+ \@TestSubS #1#2\\
+ \ifx\@MainString\@TestTemp
+ \@TestSubStringfalse
+ \else
+ \@TestSubStringtrue
+ \fi
+ \if@TestSubString
+}
+
+\def\RecursionMacroEnd #1#2#3{%
+ #1\relax
+ \def\@RecursionMacroEndNext{#2}%
+ \else
+ \def\@RecursionMacroEndNext{#3}%
+ \fi
+ \@RecursionMacroEndNext
+}
+
+\def\ReplaceSubStrings #1#2#3#4{%
+ \def\@ReplaceResult{#1}%
+ \edef\@ReplaceMain{#2}%
+ \edef\@ReplaceSub{#3}%
+ \edef\@ReplaceSubRep{#4}%
+ \@ReplaceSubStrings
+}
+\def\@ReplaceSubStrings{%
+ \RecursionMacroEnd
+ {\if\SubStringConditional{\@ReplaceMain}{\@ReplaceSub}}%
+ {\@ReplaceSubStringsDo}{\expandafter\edef\@ReplaceResult{\@ReplaceMain}}%
+}
+\def\@ReplaceSubStringsDoX{%
+ \def\@ReplaceSubStringsDoA ##1%
+}%
+\def\@ReplaceSubStringsDo{%
+ \expandafter\@ReplaceSubStringsDoX \@ReplaceSub
+ ##2\@EndReplaceSubStrings{%
+ \edef\@ReplaceMain{##1\@ReplaceSubRep ##2}%
+ }%
+ \expandafter\@ReplaceSubStringsDoA\@ReplaceMain
+ \@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\EnabledNumprint{\let\numprint\tkz@numprint}
+\endinput \ No newline at end of file