1 files changed, 35 insertions, 39 deletions
diff --git a/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-intersections.tex b/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-intersections.tex
index 4c05e5a3dca..bb741fc59ee 100644
--- a/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-intersections.tex
+++ b/Master/texmf-dist/tex/latex/tkz-euclide/tkz-tools-eu-intersections.tex
@@ -1,5 +1,5 @@
 % tkz-tools-intersections.tex
-% Copyright 2022  Alain Matthes
+% Copyright 2023  Alain Matthes
 % This work may be distributed and/or modified under the
 % conditions of the LaTeX Project Public License, either version 1.3
 % of this license or (at your option) any later version.
@@ -13,9 +13,9 @@
 % The Current Maintainer of this work is Alain Matthes.
 %  utf8 encoding
 
-\def\fileversion{4.25c}
-\def\filedate{2022/09/23} 
-\typeout{2022/09/23 4.25c tkz-tools-eu-intersections.tex}   
+\def\fileversion{5.00c}
+\def\filedate{2023/01/23} 
+\typeout{2023/01/23 5.00c tkz-tools-eu-intersections.tex}   
 \makeatletter
 %<--------------------------------------------------------------------------–>
 %                 intersection  de deux lignes
@@ -25,37 +25,34 @@
 }
 
 \def\tkz@InterLL(#1,#2)(#3,#4)#5{%
-\path (intersection of #1--#2 and #3--#4) coordinate(#5);
-% méthode with tikz
-% \pgfextractx{\pgf@x}{\pgfpointanchor{#1}{center}}%
-% \pgfextracty{\pgf@y}{\pgfpointanchor{#1}{center}}%
-% \tkz@ax\pgf@x%
-% \tkz@ay\pgf@y%
-% \pgfextractx{\pgf@x}{\pgfpointanchor{#2}{center}}%
-% \pgfextracty{\pgf@y}{\pgfpointanchor{#2}{center}}
-% \tkz@bx\pgf@x%
-% \tkz@by\pgf@y%
-% \pgfextractx{\pgf@x}{\pgfpointanchor{#3}{center}}%
-% \pgfextracty{\pgf@y}{\pgfpointanchor{#3}{center}}%
-% \tkz@cx\pgf@x%
-% \tkz@cy\pgf@y%
-% \pgfextractx{\pgf@x}{\pgfpointanchor{#4}{center}}%
-% \pgfextracty{\pgf@y}{\pgfpointanchor{#4}{center}}%
-% \tkz@dx\pgf@x%
-% \tkz@dy\pgf@y%
-%
-% \edef\tkz@deltax{\fpeval{(\tkz@ax-\tkz@bx)/(28.45274)}}
-% \edef\tkz@deltaxx{\fpeval{(\tkz@cx-\tkz@dx)/(28.45274)}}
-% \edef\tkz@deltay{\fpeval{(\tkz@ay-\tkz@by)/(28.45274)}}
-% \edef\tkz@deltayy{\fpeval{(\tkz@cy-\tkz@dy)/(28.45274)}}
-% \edef\tkz@deltaxy{\fpeval{((\tkz@ax*\tkz@by)-(\tkz@ay*\tkz@bx))/(809.55841)}}
-% \edef\tkz@deltaxxyy{\fpeval{((\tkz@cx*\tkz@dy)-(\tkz@cy*\tkz@dx))/(809.55841)}}
-% \edef\tkz@div{\fpeval{(\tkz@deltax*\tkz@deltayy)-(\tkz@deltay*\tkz@deltaxx)}}
-% \edef\tkz@numx{\fpeval{(\tkz@deltaxy*\tkz@deltaxx)-(\tkz@deltax*\tkz@deltaxxyy)}}
-% \edef\tkz@numy{\fpeval{(\tkz@deltaxy*\tkz@deltayy)-(\tkz@deltay*\tkz@deltaxxyy)}}
-% \edef\tkz@xs{\fpeval{round(\tkz@numx/\tkz@div,5)}}
-% \edef\tkz@ys{\fpeval{round(\tkz@numy/\tkz@div,5)}}
-% \path[coordinate](\tkz@xs,\tkz@ys) coordinate (#5);
+\pgfextractx{\pgf@x}{\pgfpointanchor{#1}{center}}%
+\pgfextracty{\pgf@y}{\pgfpointanchor{#1}{center}}%
+\tkz@ax\pgf@x%
+\tkz@ay\pgf@y%
+\pgfextractx{\pgf@x}{\pgfpointanchor{#2}{center}}%
+\pgfextracty{\pgf@y}{\pgfpointanchor{#2}{center}}
+\tkz@bx\pgf@x%
+\tkz@by\pgf@y%
+\pgfextractx{\pgf@x}{\pgfpointanchor{#3}{center}}%
+\pgfextracty{\pgf@y}{\pgfpointanchor{#3}{center}}%
+\tkz@cx\pgf@x%
+\tkz@cy\pgf@y%
+\pgfextractx{\pgf@x}{\pgfpointanchor{#4}{center}}%
+\pgfextracty{\pgf@y}{\pgfpointanchor{#4}{center}}%
+\tkz@dx\pgf@x%
+\tkz@dy\pgf@y%
+\edef\tkz@deltax{\fpeval{(\tkz@ax-\tkz@bx)/(28.45274)}}
+\edef\tkz@deltaxx{\fpeval{(\tkz@cx-\tkz@dx)/(28.45274)}}
+\edef\tkz@deltay{\fpeval{(\tkz@ay-\tkz@by)/(28.45274)}}
+\edef\tkz@deltayy{\fpeval{(\tkz@cy-\tkz@dy)/(28.45274)}}
+\edef\tkz@deltaxy{\fpeval{((\tkz@ax*\tkz@by)-(\tkz@ay*\tkz@bx))/(809.55841)}}
+\edef\tkz@deltaxxyy{\fpeval{((\tkz@cx*\tkz@dy)-(\tkz@cy*\tkz@dx))/(809.55841)}}
+\edef\tkz@div{\fpeval{(\tkz@deltax*\tkz@deltayy)-(\tkz@deltay*\tkz@deltaxx)}}
+\edef\tkz@numx{\fpeval{(\tkz@deltaxy*\tkz@deltaxx)-(\tkz@deltax*\tkz@deltaxxyy)}}
+\edef\tkz@numy{\fpeval{(\tkz@deltaxy*\tkz@deltayy)-(\tkz@deltay*\tkz@deltaxxyy)}}
+\edef\tkz@xs{\fpeval{round(\tkz@numx/\tkz@div,5)}}
+\edef\tkz@ys{\fpeval{round(\tkz@numy/\tkz@div,5)}}
+\path[coordinate](\tkz@xs,\tkz@ys) coordinate (#5);
 }
 
 
@@ -418,8 +415,7 @@
   \tkz@@CalcLengthcm(#2,#3){tkz@rayA}
   \tkz@@CalcLengthcm(#4,#5){tkz@rayB}
   \tkz@restore@length     
-  \tkzInterCCR(#2,\tkz@rayA)(#4,\tkz@rayB){tkzFirstPointResult}{%
-                                                 tkzSecondPointResult}   
+  \tkzInterCCR(#2,\tkz@rayA)(#4,\tkz@rayB){tkzFirstPointResult}{tkzSecondPointResult}  
   \or% 1
  \tkzInterCCR(#2,#3)(#4,#5){tkzFirstPointResult}{tkzSecondPointResult}%
   \or%2
@@ -463,10 +459,10 @@
 \tkz@cx#2cm %
 \tkz@cy#4cm %
 \edef\tkz@aa{\fpeval{((\tkz@cx+\tkz@cy)/(2*\tkz@dd))*(\tkz@cx-\tkz@cy)+\tkz@dd/2}}
-\edef\tkz@xx{\fpeval{\tkz@ax+\tkz@aa/\tkz@dd*(\tkz@bx - \tkz@ax)}}
+ \edef\tkz@xx{\fpeval{\tkz@ax+\tkz@aa/\tkz@dd*(\tkz@bx - \tkz@ax)}}
 \edef\tkz@yy{\fpeval{\tkz@ay+\tkz@aa/\tkz@dd*(\tkz@by - \tkz@ay)}} 
 \path[coordinate](\tkz@xx pt,\tkz@yy pt) coordinate (tkzRadialCenter);
-\edef\tkz@hh{\fpeval{sqrt(abs((\tkz@cx+\tkz@aa)*(\tkz@cx-\tkz@aa)))}}% abs !2022
+\edef\tkz@hh{\fpeval{sqrt(abs((\tkz@cx+\tkz@aa)*(\tkz@cx-\tkz@aa)))}}% abs !2023
 \edef\tkz@rx{\fpeval{\tkz@hh / \tkz@dd * (\tkz@ay - \tkz@by)}}
 \edef\tkz@ry{\fpeval{\tkz@hh / \tkz@dd * (\tkz@bx - \tkz@ax)}}
 \edef\tkz@xs{\fpeval{\tkz@xx + \tkz@rx}}