% tkz-tools-eu-utilities
% Copyright 2022  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.
% The latest version of this license is in
%   http://www.latex-project.org/lppl.txt
% and version 1.3 or later is part of all distributions of LaTeX
% version 2005/12/01 or later.
% This work has the LPPL maintenance status “maintained”.
% The Current Maintainer of this work is Alain Matthes.

\def\fileversion{4.2c}
\def\filedate{2022/07/14} 
\typeout{2022/07/14 4.2c  tkz-tools-utilities.tex}  
\makeatletter
\pgfkeys{/tkzClip/.cd, 
space/.store in    = {\tkz@CLI@space},
space    = {}} 

\def\tkzClip{\pgfutil@ifnextchar[{\tkz@Clip}{\tkz@Clip[]}} 
\def\tkz@Clip[#1]{%

\pgfqkeys{/tkzClip}{#1} 
\ifx\tkzutil@empty\tkz@CLI@space
    \clip (\tkz@xa,\tkz@ya) rectangle (\tkz@xb,\tkz@yb);
 \else
 \edef\tkz@xxa{\fpeval{\tkz@xa-\tkz@CLI@space}}
 \edef\tkz@yya{\fpeval{\tkz@ya-\tkz@CLI@space}}
 \edef\tkz@xxb{\fpeval{\tkz@xb+\tkz@CLI@space}} % correction bug 2020
 \edef\tkz@yyb{\fpeval{\tkz@yb+\tkz@CLI@space}}
 \clip (\tkz@xxa,\tkz@yya) rectangle (\tkz@xxb,\tkz@yyb);
\fi
} 

% for testing results
\def\extractxy#1{%
\pgfextractx{\pgf@x}{\pgfpointanchor{#1}{center}}
\pgfextracty{\pgf@y}{\pgfpointanchor{#1}{center}}
\typeout{#1 \the\pgf@x,\the\pgf@y} 
} 
%<-------------- some tools -------------------------------------------------> 
\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} 
%<--------------------------------------------------------------------------–>
\long\def\iftkznodedefined#1#2#3{%
    \tkzutil@ifundefined{pgf@sh@ns@#1}{#3}{#2}%
}
%<--------------------------------------------------------------------------–>
\gdef\tkzActivOff{%
   \edef\tkzTwoPtCode{\the\catcode`\:} 
   \edef\tkzPtExCode{\the\catcode`\!} 
   \edef\tkzPtVirCode{\the\catcode`\;} 
   \catcode`\:=12 \catcode`\!=12 \catcode`\;=12
   }%
\gdef\tkzActivOn{%
   \catcode`\:=\tkzTwoPtCode\relax
   \catcode`\!=\tkzPtExCode\relax
   \catcode`\;=\tkzPtVirCode\relax
}% 
%<--------------------------------------------------------------------------–>
%              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 %
   \gdef\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{\gdef\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
}
%<---------------------------------------------------------–>
\def\tkz@recuplast(#1,#2){\def\tkz@last{#1}}
\def\tkz@stop{\tkz@stop}
% end code from JCC    
%<---------------------------------------------------------–>
%            Tools
%<---------------------------------------------------------–>
%<–––––––– code from TeX in Practice ––––––––>
\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
        \tkz@TestSubStringfalse
    \else
        \tkz@TestSubStringtrue
    \fi
    \iftkz@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\DisabledNumprint{%
      \let\tkz@numprint\numprint
      \let\numprint\relax
      }
\def\EnabledNumprint{\let\numprint\tkz@numprint} 
%<---------------------------------------------------------–>
\def\tkzSwapPoints(#1,#2){
  \pgfnodealias{tkzPointTmp}{#2}
   \pgfnodealias{#2}{#1}
  \pgfnodealias{#1}{tkzPointTmp}}
%<---------------------------------------------------------–>
\def\tkzPermute(#1,#2,#3){
\tkzURotateWithNodes(#1,#3,#2)(#3)  \tkzGetPoint{tkzpt}
\tkzURotateWithNodes(#1,#2,#3)(#2) \tkzGetPoint{#2}
\tkzSwapPoints(tkzpt,#3)}
%<---------------------------------------------------------–>
\def\tkzDotProduct(#1,#2,#3){%
\begingroup
\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%
\edef\tkz@dotprod{\fpeval{round(((\tkz@bx-\tkz@ax)*(\tkz@cx-\tkz@ax)+(\tkz@by-\tkz@ay)*(\tkz@cy-\tkz@ay))/(809.55841),5)}}
\global\let\tkzMathResult\tkz@dotprod
\endgroup}
%<---------------------------------------------------------–>
 \def\tkzGetResult#1{%
   \global\expandafter\edef\csname #1\endcsname{\tkzMathResult}}
%<---------------------------------------------------------–>
% #1,#2 and #3 aligned
\def\tkzIsLinear(#1,#2,#3){%
\begingroup
\tkz@@CalcLengthcm(#1,#2){tkz@la}
\tkz@@CalcLengthcm(#1,#3){tkz@lb}
\tkzDotProduct(#1,#2,#3)
\edef\tkzMathResult{\fpeval{abs(abs(\tkzMathResult)-(\tkz@la)*(\tkz@lb))}}
\ifdim \tkzMathResult pt < 0.0001 pt\relax%
\global\tkzLineartrue
\else
\global\tkzLinearfalse
\fi
\endgroup
}
%<---------------------------------------------------------–>
% syntax : vec(#2,#1) ortho vec(#3,#1)
\def\tkzIsOrtho(#1,#2,#3){%
\begingroup
\tkzDotProduct(#1,#2,#3)
\edef\tkzMathResult{\fpeval{abs(\tkzMathResult)}}
\ifdim \tkzMathResult pt < 0.0001 pt\relax%
\global\tkzOrthotrue
\else
\global\tkzOrthofalse
\fi
\endgroup
}
%<---------------------------------------------------------–>
  \def\tkzHelpGrid{%
   \draw[help lines] (current bounding box.south west) grid
          (current bounding box.north east);
  }
   
\makeatother
\endinput