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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
##############################
	Latex source file: /tmp/Slides/Calc.tex
	No of lines/chars: 106, 3042 chars
##############################
001: \documentclass[tikz,dvipsnames]{standalone}
002: %%% Original latex doc: /usr/local/Slides/1_Disciplines/3_FG/10_Models/02_Taxist/04_Line_Dist/Figs/Fig/Calc.tikz.tex
003: 
004: 
005: %%!
006: %%! Preamble located by /usr/lib/cgi-bin/tikz2svg
007: \input{/usr/local/Slides/PreAmble.tikz.tex}
008: %%!
009: 
010: 
011: \newcommand{\Path}{/usr/local/Slides/1_Disciplines/3_FG/10_Models/02_Taxist/04_Line_Dist/Figs/Fig}
012: \newcommand{\TiKZPath}{/usr/local/tikz}
013: 
014: %%!
015: 
016: 
017: \begin{document}
018: \begin{tikzpicture}%[trig format=rad]
019: 
020: %Do calculations
021: 
022: %Taxist vertical projection
023: \pgfmathparse{   \ya*(\xb-\x)+\yb*(\x-\xa)   }\let\yyy\pgfmathresult;
024: \pgfmathparse{\yyy/(\xb-\xa)}\let\yyy\pgfmathresult;
025: \coordinate (QX) at (\x,\yyy);
026: 
027: %Taxist horisontal projection
028: \pgfmathparse{   \xa*(\y-\yb)-\xb*(\y-\ya)   }\let\xxx\pgfmathresult;
029: \pgfmathparse{\xxx/(\ya-\yb)}\let\xxx\pgfmathresult;
030: \coordinate (QY) at (\xxx,\y);
031: 
032: 
033: 
034: %Coordinates of rightmost point.
035: \pgfmathparse{(\tright-\tleft)/100.0}\let\dt\pgfmathresult;
036: \pgfmathparse{100}\let\N\pgfmathresult;
037: 
038: 
039: 
040: \pgfmathparse{\tright}\let\t\pgfmathresult;
041: \pgfmathparse{\xa+\t*(\xb-\xa)}\let\xright\pgfmathresult;
042: \pgfmathparse{\ya+\t*(\yb-\ya)}\let\yright\pgfmathresult;
043: 
044: %Distance of rightmost point.
045: \pgfmathparse{abs(\x-\xright)+abs(\y-\yright)}\let\dleft\pgfmathresult;
046: 
047: 
048: %Coordinates of leftmost point.
049: \pgfmathparse{\tleft}\let\t\pgfmathresult;
050: \pgfmathparse{\xa+\t*(\xb-\xa)}\let\xleft\pgfmathresult;
051: \pgfmathparse{\ya+\t*(\yb-\ya)}\let\yleft\pgfmathresult;
052: 
053: %Distance of leftmost point.
054: \pgfmathparse{abs(\x-\xleft)+abs(\y-\yleft)}\let\dright\pgfmathresult;
055: 
056: 
057: 
058: %Minimum parameter values
059: \pgfmathparse{(\x-\xa)/\dx}\let\tx\pgfmathresult;
060: 
061: \pgfmathparse{\xa+\tx*(\xb-\xa)}\let\pxx\pgfmathresult;
062: \pgfmathparse{\ya+\tx*(\yb-\ya)}\let\pxy\pgfmathresult;
063: \pgfmathparse{abs(\x-\pxx)+abs(\y-\pxy)}\let\dpx\pgfmathresult;
064: 
065: 
066: \pgfmathparse{(\y-\ya)/\dy}\let\ty\pgfmathresult;
067: 
068: \pgfmathparse{\xa+\ty*(\xb-\xa)}\let\pyx\pgfmathresult;
069: \pgfmathparse{\ya+\ty*(\yb-\ya)}\let\pyy\pgfmathresult;
070: 
071: \pgfmathparse{abs(\x-\pyx)+abs(\y-\pyy)}\let\dpy\pgfmathresult;
072: 
073: %Distance function points in A and B
074: \coordinate (PA) at (\xa,\DistLevel);
075: \coordinate (PB) at (\xb,\DistLevel);
076: 
077: %Distance function points in the minimum values
078: \coordinate (PX) at (\pxx,\dpx+\DistLevel);
079: \coordinate (PY) at (\pyx,\dpy+\DistLevel);
080: 
081: \coordinate (PPX) at (\pxx,\DistLevel);
082: \coordinate (PPY) at (\pyx,\DistLevel);
083: 
084: 
085: %P(t)=A t^2+Bt+C
086: \pgfmathparse{(\xb-\xa)*(\xb-\xa)+(\yb-\ya)*(\yb-\ya)}\let\A\pgfmathresult;
087: \pgfmathparse{2*(\xa-\x)*(\xb-\xa)+2*(\ya-\y)*(\yb-\ya)}\let\B\pgfmathresult;
088: 
089: \pgfmathparse{(\x-\xa)*(\x-\xa)+(\y-\ya)*(\y-\ya)}\let\C\pgfmathresult;
090: 
091: \pgfmathparse{\B*\B-4*\A*\C)}\let\Discriminant\pgfmathresult;
092: 
093: \pgfmathparse{-\B/(2*\A)}\let\tcartesian\pgfmathresult;
094: 
095: \pgfmathparse{\xa+\tcartesian*(\xb-\xa)}\let\xcartesian\pgfmathresult;
096: \pgfmathparse{\ya+\tcartesian*(\yb-\ya)}\let\ycartesian\pgfmathresult;
097: \pgfmathparse{-\Discriminant/(4*\A)}\let\dcartesian\pgfmathresult;
098: \pgfmathparse{sqrt(\dcartesian)}\let\dcartesian\pgfmathresult;
099: 
100: \coordinate (QC) at (\xcartesian,\ycartesian);
101: 
102: \coordinate (PPC) at (\xcartesian,\dcartesian+\DistLevel);
103: 
104: \end{tikzpicture}
105: \end{document}
106: 
##############################
