% tkz-obj-axes.tex    
% Copyright 2020 by Alain Matthes
% This file may be distributed and/or modified
% 1. under the LaTeX Project Public License and/or
% 2. under the GNU Public License.
%  utf8 encoding
\def\fileversion{3.02c}
\def\filedate{2020/01/24}
\typeout{2020/01/24 3.02c  tkz-obj-axes.tex}   
 \newif\ifinteger
 \makeatletter
\def\removedot#1.{#1}
\newcommand\tkzgetinteger[1]{\expandafter\tkz@getinteger#1.\@nil}
\def\tkz@getinteger#1.#2\@nil{%
  \ifx\empty#2\empty
    \integertrue
	\else
	\ifnum\removedot#2=0   
		\integertrue
	 \else 
	   \integerfalse
	 \fi
  \fi
}
%<--------------------------------------------------------------------------–> 
% some tools
%<--------------------------------------------------------------------------–> 
\def\tkz@showgrad#1{%
\tkzgetinteger{#1}
\ifinteger\edef\tkz@result{\fpeval{trunc(#1,0)}}\else\edef\tkz@result{#1}\fi}%

\def\tkz@Xresult{%
\tkz@showgrad{\tkz@xgrad}%
 $\numprint{\tkz@result}$%
}%
%<--------------------------------------------------------------------------–>
\def\tkz@Yresult{%
\tkz@showgrad{\tkz@ygrad}%
$\numprint{\tkz@result}$
}% 
%<--------------------------------------------------------------------------–>
%<--------------------------------------------------------------------------–>
\def\tkz@Xshowgradresult#1{% 
\iftkz@X@orig%
  \tkz@Xresult% 
\else% orig 
   \iftkz@init@NO% 
      \unless\ifx#1\tkz@posmin%
      \tkz@Xresult\fi
   \else% NO  
     \unless\ifx#1\x@tkzero%
     \tkz@Xresult%
     \fi%end of x@tkzero
   \fi%end of NO
\fi%end of orig
}%
%<--------------------------------------------------------------------------–>
\def\tkz@Yshowgradresult#1{% 
\iftkz@Y@orig%
  \tkz@Yresult%
\else % orig 
\iftkz@init@NO%
   \unless\ifx#1\tkz@posmin%
   \tkz@Yresult\fi
 \else% NO
   \unless\ifx#1\y@tkzero%
   \tkz@Yresult%
  \fi%end of x@tkzero
 \fi%end of NO
\fi%end of orig
}%
%<--------------------------------------------------------------------------–>
%<--------------------------------------------------------------------------–>
\def\tkz@Xshowgrad#1{% 
\iftkz@X@orig%
  \tkzprintfrac% 
\else% orig 
  \iftkz@init@NO% 
     \unless\ifx#1\tkz@posmin%
     \tkzprintfrac\fi%
  \else% NO  
    \unless\ifx#1\x@tkzero%
    \tkzprintfrac%
    \fi%end of x@tkzero
 \fi%end of NO
\fi%end of orig
}%
%<--------------------------------------------------------------------------–>
\def\tkz@Yshowgrad#1{% 
\iftkz@Y@orig%
\tkzprintfrac%
\else% orig 
     \iftkz@init@NO%
        \unless\ifx\tkz@pos\tkz@posmin%
        \tkzprintfrac\fi%
      \else % NO
        \unless\ifx\tkz@pos\y@tkzero%
        \tkzprintfrac%
       \fi%end of x@tkzero
    \fi%end of NO
\fi%end of orig
}%

%<--------------------------------------------------------------------------–>
%              Setup   axe
%<--------------------------------------------------------------------------–>
\pgfkeys{tkzaxis/.cd,
      line width/.code         = \xdef\tkz@sua@lw{#1},
      color/.code              = \xdef\tkz@sua@color{#1},
      tickwd/.code             = \xdef\tkz@sua@tickwd{#1},
      ticka/.code              = \xdef\tkz@sua@ticka{#1},
      tickb/.code              = \xdef\tkz@sua@tickb{#1},
      line width            = \tkz@init@lw,
      color                 = \tkz@init@color,
      tickwd                = \tkz@init@tickwd,
      ticka                 = \tkz@init@ticka,
      tickb                 = \tkz@init@tickb
} 

\def\tkzSetUpAxis{\pgfutil@ifnextchar[{\tkz@SetUpAxis}{\tkz@SetUpAxis[]}} 
\def\tkz@SetUpAxis[#1]{%
\begingroup
\pgfqkeys{/tkzaxis}{#1}
\global\let\tkz@init@lw\tkz@sua@lw
\global\let\tkz@init@gradsize\tkz@sua@gradsize 
\global\let\tkz@init@color\tkz@sua@color 
\global\let\tkz@init@tickwd\tkz@sua@tickwd 
\global\let\tkz@init@ticka\tkz@sua@ticka 
\global\let\tkz@init@tickb\tkz@sua@tickb  
\endgroup
}
%<--------------------------------------------------------------------------–>
%                 tkzDrawX      todo améliorer les unités
% sans doute à revoir loop from 0 to i then calcul dans la boucle de la position
% et de l'affichage
%<--------------------------------------------------------------------------–>
\pgfkeys{%
  /tkzdrawX/.cd,
  color/.store in            = \tkz@X@color,
  label/.store in            = \tkz@X@label,
  right space/.store in      = \tkz@axe@rxspace,
  left space/.store in       = \tkz@axe@lxspace,
  trig/.store in             = \tkz@X@trig,
  step/.code                 = {\edef\tkz@posnext{\fpeval{#1}}},
  color                      = \tkz@init@color,
  label                      = \tkz@init@xlabel,
  trig                       = 0,
  step                       = \tkz@init@xstep,
  right space                = \tkz@init@rightspace, %???
  left space                 = \tkz@init@leftspace,
  noticks/.is if             = tkz@X@noticks,
  noticks/.default           = true,
  noticks                    = false,
  tickwd/.store in           = \tkz@X@tickwd,
  tickup/.store in           = \tkz@X@tickup,
  tickdn/.store in           = \tkz@X@tickdn,
  tickwd                     = \tkz@init@tickwd,
  tickup                     = \tkz@init@ticka,
  tickdn                     = \tkz@init@tickb,
   /tkzdrawX/.search also={/tikz}, 
  }

\def\tkzDrawX{\pgfutil@ifnextchar[{\tkz@DrawX}{\tkz@DrawX[]}}
\def\tkz@DrawX[#1]{
\begingroup%
\pgfqkeys{/tkzdrawX}{#1}
\edef\tkz@posmax{\fpeval{trunc(\tkz@xb,\tkz@init@xdec)}}
\edef\tkz@posmin{\fpeval{trunc(\tkz@xa,\tkz@init@xdec)}}
\edef\tkz@xbsup{\fpeval{\tkz@xb+\tkz@axe@rxspace}}
\edef\tkz@xainf{\fpeval{\tkz@xa-\tkz@axe@lxspace}}
\path (\tkz@xainf,0)--(\tkz@xbsup,0) node(tkz@xline){};
\draw[xaxe style,
      color = \tkz@X@color, 
      /tkzdrawX/.cd, #1] (\tkz@xainf,0)--(\tkz@xbsup,0)
                        node[ xlabel style, 
                           /tkzdrawX/.cd, 
                          #1]{\tkz@X@label};
 \iftkz@X@noticks
 \else
  \ifnum\tkz@X@trig=0
  \edef\tkz@posmax{\fpeval{trunc(\tkz@posmax,\tkz@init@xdec)}}   
  \edef\tkz@posnext{\fpeval{\tkz@posnext/\tkz@init@xstep+\tkz@posmin}}
     \foreach \pos in {\tkz@posmin,...,\tkz@posmax}{%
         \edef\tkz@pos{\fpeval{\pos*1}}% ???
         \draw[ color         = \tkz@X@color, line width    = \tkz@X@tickwd,
                shift         = {(\tkz@pos,0)}]%
                (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn);
           }
    \else
      \edef\tkz@posmin{\fpeval{round(((\tkz@posmin+.5)/pi)*\tkz@X@trig,0)}}
      \edef\tkz@posmax{\fpeval{round(((\tkz@posmax)/pi)*\tkz@X@trig,0)}}
       \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{%
           \edef\tkz@pospi{\fpeval{(\tkz@pos*pi)/\tkz@X@trig}}
           \draw[color = \tkz@X@color,
                 line width = \tkz@X@tickwd,%
                 shift      = {(\tkz@pospi,0)}]%
           (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn);
         }% end foreach
         \fi
 \fi
\endgroup
}
%<--------------------------------------------------------------------------–>
%                 tkzDrawY      todo améliorer les unités
%<--------------------------------------------------------------------------–>
\pgfkeys{%
  /tkzdrawY/.cd,
  color/.store in            = \tkz@Y@color,
  label/.store in            = \tkz@Y@label, 
  up space/.store in         = \tkz@axe@uyspace, 
  down space/.store in       = \tkz@axe@dyspace,
  trig/.store in             = \tkz@Y@trig,      
  step/.code                 = {\edef\tkz@posnext{\fpeval{#1}}},  
  color                      = \tkz@init@color,
  label                      = \tkz@init@ylabel,
  trig                       = 0,
  step                       = \tkz@init@ystep,
  up space                   = \tkz@init@upspace,
  down space                 = \tkz@init@downspace,
  noticks/.is if             = tkz@Y@noticks,
  noticks/.default           = true,
  noticks                    = false,
  tickwd/.store in           = \tkz@Y@tickwd,
  ticklt/.store in           = \tkz@Y@ticklt,
  tickrt/.store in           = \tkz@Y@tickrt,
  tickwd                     = \tkz@init@tickwd,
  ticklt                     = \tkz@init@tickb,
  tickrt                     = \tkz@init@ticka,
   /tkzdrawY/.search also={/tikz},    
        }
                                     
\def\tkzDrawY{\pgfutil@ifnextchar[{\tkz@DrawY}{\tkz@DrawY[]}}
\def\tkz@DrawY[#1]{%
\begingroup
\pgfkeys{/tkzdrawY/.cd,step = \tkz@init@ystep}
\pgfqkeys{/tkzdrawY}{#1}
\edef\tkz@posmax{\fpeval{trunc(\tkz@yb,\tkz@init@ydec)}}
\edef\tkz@posmin{\fpeval{trunc(\tkz@ya,\tkz@init@ydec)}}
\edef\tkz@ybsup{\fpeval{\tkz@yb+\tkz@axe@uyspace}}
\edef\tkz@yainf{\fpeval{\tkz@ya-\tkz@axe@dyspace}}
\path (0,\tkz@yainf)--(0,\tkz@ybsup) node(tkz@yline){};
\draw[color = \tkz@Y@color,
      yaxe style,/tkzdrawY/.cd,#1] (0,\tkz@yainf)--(0,\tkz@ybsup)
      node[ylabel style,/tkzdrawY/.cd,#1]{\tkz@Y@label};
 \iftkz@Y@noticks
 \else 
   \ifnum\tkz@Y@trig=0 
    \edef\tkz@posmax{\fpeval{trunc(\tkz@posmax,\tkz@init@ydec)}}    
    \edef\tkz@posnext{\fpeval{\tkz@posnext/\tkz@init@ystep+\tkz@posmin}}
   \foreach \tkz@pos in {\tkz@posmin,\tkz@posnext,...,\tkz@posmax}{% 
     \draw[color = \tkz@Y@color,
           line width = \tkz@Y@tickwd,
           shift       = {(0,\tkz@pos)}]% 
            (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt);}
    \else
       \edef\tkz@posmin{\fpeval{round(((\tkz@posmin+.5)/pi)*\tkz@Y@trig,0)}}
       \edef\tkz@posmax{\fpeval{round(((\tkz@posmax)/pi)*\tkz@Y@trig,0)}}
       \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{% 
           \edef\tkz@pospi{\fpeval{(\tkz@pos*pi)/\tkz@Y@trig}}
           \draw[color = \tkz@Y@color,
                line width = \tkz@Y@tickwd,%
                          shift      = {(0,\tkz@pospi)}]%
           (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt);
         }% end foreach
     \fi     
 \fi        
\endgroup}
%<--------------------------------------------------------------------------->
%     tkzLabelX
%<--------------------------------------------------------------------------->
\pgfkeys{/tkzlabelX/.cd,
      frac/.store in       = \tkz@X@frac,
      trig/.store in       = \tkz@X@trig,  
      step/.store in       = \tkz@posnext,
      tickwd/.store in     = \tkz@X@tickwd,
      tickup/.store in     = \tkz@X@tickup,
      tickdn/.store in     = \tkz@X@tickdn,  
      np off/.is if        = tkz@np,
      np off/.default      = true,
      np off               = false,
      orig/.is if          = tkz@X@orig,
      orig/.default        = false, 
      orig                 = true,
      frac                 = 0,
      trig                 = 0,
      step                 = \tkz@init@xstep,
      tickwd               = \tkz@init@tickwd,
      tickup               = \tkz@init@ticka,
      tickdn               = \tkz@init@tickb,
   /tkzlabelX/.search also={/tikz}, 
      }  
\def\tkzLabelX{\pgfutil@ifnextchar[{\tkz@LabelX}{\tkz@LabelX[]}}
\def\tkz@LabelX[#1]{% 
\begingroup 
\pgfkeys{/tkzlabelX/.cd,step  = \tkz@init@xstep}
\pgfqkeys{/tkzlabelX}{#1}
\iftkz@np\let\numprint@saved\numprint %
\let\numprint\relax\fi % 
   
\edef\tkz@posmin{\fpeval{trunc(\tkz@xa,\tkz@init@xdec)}}
\edef\tkz@posmax{\fpeval{trunc(\tkz@xb,\tkz@init@xdec)}}
\edef\x@tkzero{\fpeval{trunc(0.0000000,\tkz@init@xdec)}}

\ifnum\tkz@X@frac=0 %
  \ifnum\tkz@X@trig=0 % affichage normal
  \edef\tkz@posnext{\fpeval{\tkz@posnext/\tkz@init@xstep+\tkz@posmin}}        
   \foreach \tkz@pos in {\tkz@posmin,\tkz@posnext,...,\tkz@posmax}{%
     \edef\tkz@pos{\fpeval{trunc(\tkz@pos,\tkz@init@xdec)}}   
     \edef\tkz@xgrad{\fpeval{\tkz@pos*\tkz@init@xstep+\tkz@init@xorigine}}
     \edef\tkz@xgrad{\fpeval{trunc(\tkz@xgrad,\tkz@init@xdec)}}   
     \path[shift = {(\tkz@pos,0)}] (0pt,\tkz@X@tickup) -- (0pt,-\tkz@X@tickdn)%
               node[ xlabel style,%
                        fill = \tkz@fillcolor,
                        /tkzlabelX/.cd,#1]{\tkz@Xshowgradresult{\tkz@pos}}; 
}% 
  \else% trig > 0 
  \edef\tkz@posmin{\fpeval{round(((\tkz@posmin+.5)/pi)*\tkz@X@trig,0)}}
  \edef\tkz@posmax{\fpeval{(\tkz@posmax/pi)*\tkz@X@trig}}
     \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{% 
        \tkzPrintFracWithPi{\tkz@pos}{\tkz@X@trig}
        \edef\tkz@pospi{\fpeval{(\tkz@pos*pi)/\tkz@X@trig}}
      \path[shift      = {(\tkz@pospi,0)}]%
        (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn)%
           node[xlabel style,
                text height = 8pt,
                fill        = \tkz@fillcolor,
                  /tkzlabelX/.cd,#1]{\tkz@Xshowgrad{\tkz@pos}};% 
      }% end foreach   
    \fi
\else% frac > 0  
   \edef\tkz@posmin{\fpeval{round(\tkz@posmin,0)}}
   \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{%
      \tkzPrintFrac{\tkz@pos}{\tkz@X@frac}% 
       \path[shift = {(\tkz@pos,0)}]%
          (0pt,\tkz@X@tickup)--(0pt,-\tkz@X@tickdn)%
          node[xlabel style,text height = 8pt,fill = \tkz@fillcolor,
                /tkzlabelX/.cd,#1]{\tkz@Xshowgrad{\tkz@pos}}%
   ;%    
  }% end foreach  
\fi
 \iftkz@np\let\numprint\numprint@saved \fi%      
\endgroup
} 
%<--------------------------------------------------------------------------->
%          tkzLabelY
%<--------------------------------------------------------------------------->
\pgfkeys{/tkzlabelY/.cd,
      frac/.store in                = \tkz@Y@frac,
      trig/.store in                = \tkz@Y@trig,  
      step/.store in                = \tkz@posnext,
      tickwd/.store in              = \tkz@Y@tickwd,
      ticklt/.store in              = \tkz@Y@ticklt,
      tickrt/.store in              = \tkz@Y@tickrt,
      np off/.is if                 = tkz@np,
      np off/.default               = true,
      np off                        = false,  
      orig/.is if                   = tkz@Y@orig,
      orig/.default                 = false,
      orig                          = true,  
      frac                          = 0,
      trig                          = 0,
      step                          = \tkz@init@ystep,
      tickwd                        = \tkz@init@tickwd,
      ticklt                        = \tkz@init@tickb,
      tickrt                        = \tkz@init@ticka,     
       /tkzlabelY/.search also={/tikz} 
      }  
                               \def\tkzLabelY{\pgfutil@ifnextchar[{\tkz@LabelY}{\tkz@LabelY[]}}
\def\tkz@LabelY[#1]{%
\begingroup
\pgfkeys{/tkzlabelY/.cd,step = \tkz@init@ystep}
\pgfqkeys{/tkzlabelY}{#1}
\iftkz@np\let\numprint@saved\numprint %
\let\numprint\relax\fi % 
\edef\tkz@posmin{\fpeval{trunc(\tkz@ya,\tkz@init@ydec)}}
\edef\tkz@posmax{\fpeval{trunc(\tkz@yb,\tkz@init@ydec)}}
\edef\y@tkzero{\fpeval{trunc(0.0000000,\tkz@init@ydec)}}

\ifnum\tkz@Y@frac=0
  \ifnum\tkz@Y@trig=0 % affichage normal 
  \edef\tkz@posnext{\fpeval{\tkz@posnext/\tkz@init@ystep+\tkz@posmin}}      
   \foreach \tkz@pos in {\tkz@posmin,\tkz@posnext,...,\tkz@posmax}{%
     \edef\tkz@pos{\fpeval{trunc(\tkz@pos,\tkz@init@ydec)}}   
     \edef\tkz@ygrad{\fpeval{\tkz@pos*\tkz@init@ystep+\tkz@init@yorigine}}
     \edef\tkz@ygrad{\fpeval{trunc(\tkz@ygrad,\tkz@init@ydec)}}   
     \path[shift = {(0,\tkz@pos)}]%
        (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt)%
        node[ylabel style, 
             fill  = \tkz@fillcolor,
             /tkzlabelY/.cd,#1]{\tkz@Yshowgradresult{\tkz@pos}};
}
  \else% trig > 0  
     \edef\tkz@posmin{\fpeval{round(((\tkz@posmin+.5)/pi)*\tkz@Y@trig,0)}}
     \edef\tkz@posmax{\fpeval{(\tkz@posmax/pi)*\tkz@Y@trig}}
     \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{% 
        \tkzPrintFracWithPi{\tkz@pos}{\tkz@Y@trig}
        \edef\tkz@pospi{\fpeval{(\tkz@pos*pi)/\tkz@Y@trig}}
        \path[shift  = {(0,\tkz@pospi)}]%
             (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt)%
             node[ylabel style,text height  = 8pt,fill = \tkz@fillcolor,
                  /tkzlabelY/.cd,#1]{\tkz@Yshowgrad{\tkz@pos}};% 
      }% end foreach   
    \fi    
\else% frac > 0  
\edef\tkz@posmin{\fpeval{round(\tkz@posmin,0)}}
  \foreach \tkz@pos in {\tkz@posmin,...,\tkz@posmax}{%
    \tkzPrintFrac{\tkz@pos}{\tkz@Y@frac}% 
        \path[shift      = {(0,\tkz@pos)}]%
          (\tkz@Y@tickrt,0pt)--(-\tkz@Y@ticklt,0pt)%
          node[ylabel style,
               text height   = 8pt,
               fill          = \tkz@fillcolor,
               /tkzlabelY/.cd,#1]{\tkz@Yshowgrad{\tkz@pos}}%
   ;% 
  }% end foreach
\fi
 \iftkz@np\let\numprint\numprint@saved \fi%      
\endgroup
} 
%<-------------------------------------------------------------------------->
%<--------------------------------------------------------------------------–>
%                 tkzAxeX     Draw + Label
%<--------------------------------------------------------------------------–>  
\def\tkzAxeX{\pgfutil@ifnextchar[{\tkz@AxeX}{\tkz@AxeX[]}}
\def\tkz@AxeX[#1]{%
\begingroup  
    \tkzLabelX[#1]
    \tkzDrawX[#1]
\endgroup
}
%<--------------------------------------------------------------------------–>
\def\tkzAxeY{\pgfutil@ifnextchar[{\tkz@AxeY}{\tkz@AxeY[]}}
\def\tkz@AxeY[#1]{%
\begingroup
   \tkzDrawY[#1] 
   \tkzLabelY[#1]   
\endgroup}
%<-------------------------------------------------------------------------->
\pgfkeys{/tkzAxeXY/.cd,
         swap/.is if     = tkz@swap,
         swap/.default   = true,
         swap           = false,
       /tkzAxeXY/.search also={/tikz},
       /tkzAxeXY/.unknown/.code   = {\let\searchname=\pgfkeyscurrentname
                                       \pgfkeysalso{\searchname/.try=#1}} 
                              }  
  
\def\tkzAxeXY{\pgfutil@ifnextchar[{\tkzAxe@XY}{\tkzAxe@XY[]}}  
\def\tkzAxe@XY[#1]{%
\pgfqkeys{/tkzAxeXY}{#1}   
\iftkz@swap
\tkzLabelX[#1]\tkzLabelY[#1]\tkzDrawX[#1]\tkzDrawY[#1]
\else
\tkzDrawX[#1]\tkzDrawY[#1]\tkzLabelX[#1]\tkzLabelY[#1]
\fi}
\def\tkzDrawXY{\pgfutil@ifnextchar[{\tkzDraw@XY}{\tkzDraw@XY[]}} 
\def\tkzDraw@XY[#1]{\tkzDrawX[#1]\tkzDrawY[#1]} 
\def\tkzLabelXY{\pgfutil@ifnextchar[{\tkzLabel@XY}{\tkzLabel@XY[]}}
\def\tkzLabel@XY[#1]{\tkzLabelX[#1]\tkzLabelY[#1]}  
 %<--------------------------------------------------------------------------–>
\makeatother
\endinput