% tkz-tools-angles.tex
% Copyright 2020  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.
%  utf8 encoding
\def\fileversion{3.06c}
\def\filedate{2020/03/18} 
\typeout{2020/03/18 3.06c tkz-tools-angles.tex}   
\makeatletter
%<--------------------------------------------------------------------------–>
%<--------------------------------------------------------------------------–>
% thanks karu : http://tex.stackexchange.com/questions/151667/tkzgetangle-strange-behavior/196224#196224  \tkzGetAngle strange behavior
% defines \tkz@FirstAngle and \tkz@SecondAngle sens  trigo
%<--------------------------------------------------------------------------–>
 \def\tkzNormalizeAngle(#1,#2){%
 \begingroup
   \pgfmathparse{#1}\xdef\tkz@FirstAngle{\pgfmathresult}%
   \pgfmathparse{#2}\xdef\tkz@SecondAngle{\pgfmathresult}%
   \pgfmathgreaterthan{\tkz@FirstAngle}{0}
   \ifdim\pgfmathresult pt=1 pt\relax%
     \pgfmathgreaterthan{\tkz@FirstAngle}{\tkz@SecondAngle}
     \ifdim\pgfmathresult pt=1 pt\relax%
       \pgfmathsubtract{\tkz@FirstAngle}{360}
       \xdef\tkz@FirstAngle{\pgfmathresult}%
     \fi
   \else
     \pgfmathgreaterthan{\tkz@FirstAngle}{\tkz@SecondAngle}
     \ifdim\pgfmathresult pt=1 pt\relax%
       		\pgfmathadd{\tkz@SecondAngle}{360}
       	 	\xdef\tkz@SecondAngle{\pgfmathresult}%
     \fi
   \fi
 \endgroup
 }  
%<--------------------------------------------------------------------------–>
%                          Angle 
% Recherche l'angle formé par #1 et #2 par rapport à l'horizontale
%<--------------------------------------------------------------------------–>
\def\tkzFindSlopeAngle(#1,#2){%
\begingroup
	\pgfmathanglebetweenpoints{\pgfpointanchor{#1}{center}}{%
                               \pgfpointanchor{#2}{center}} 
	\global\let\tkzAngleResult\pgfmathresult  
\endgroup
}
%<--------------------------------------------------------------------------–>
%                          Angle  avec trois nodes
%<--------------------------------------------------------------------------–>
\def\tkzFindAngle(#1,#2,#3){% new code 2016
\begingroup
  	\tkzFindSlopeAngle(#2,#1)\tkzGetAngle{tkz@FirstAngle}
  	\tkzFindSlopeAngle(#2,#3)\tkzGetAngle{tkz@SecondAngle}
  	\tkzNormalizeAngle(\tkz@FirstAngle,\tkz@SecondAngle)
	\edef\tkz@Angle{\fpeval{\tkz@SecondAngle-\tkz@FirstAngle}}
  	\global\let\tkzAngleResult\tkz@Angle
\endgroup
}
%<--------------------------------------------------------------------------–>
% Find angle
%<--------------------------------------------------------------------------–>
\def\tkzGetAngle#1{%
	\global\expandafter\edef\csname #1\endcsname{\tkzAngleResult}
}  
\makeatother
\endinput