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Diffstat (limited to 'Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarybbox.code.tex')
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1 files changed, 94 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarybbox.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarybbox.code.tex new file mode 100644 index 00000000000..38690faed14 --- /dev/null +++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarybbox.code.tex @@ -0,0 +1,94 @@ +% Copyright 2019 by an anonymous contributor +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU General Public License. +% +% See the file doc/generic/pgf/licenses/LICENSE for more details. + +\global\let\pgf@bbox@lt@curveto@normal\pgf@lt@curveto +\global\let\pgf@bbox@nlt@curveto@normal\pgf@nlt@curveto + +\pgfqkeys{/pgf}{bezier bounding box/.is if=pgf@bbox@switch@} + +\def\pgf@bbox@switch@false{% + \let\pgf@lt@curveto \pgf@bbox@lt@curveto@normal + \let\pgf@nlt@curveto\pgf@bbox@nlt@curveto@normal +} + +\def\pgf@bbox@switch@true{% + \let\pgf@lt@curveto \pgf@bbox@curveto + \let\pgf@nlt@curveto\pgf@bbox@curveto +} + +\def\pgf@bbox@curveto#1#2#3#4#5#6{% + % extrema in x + \pgfmathsetmacro{\pgf@temp@b}{abs(\pgf@path@lastx-#5-3*#1+3*#3)}% + % ^^^ this is used for the denominator below, cannot become too small + \pgfmathsetmacro{\pgf@temp@c}{max(1+\pgf@path@lastx,max(#1,max(#3,#5)))}% + % ^^^ in order to avoid dimension too large errors from squaring lengths in pt + \pgfmathparse{((#1/\pgf@temp@c)*(#1/\pgf@temp@c)-1*((#1/\pgf@temp@c)*(#3/\pgf@temp@c))+(#3/\pgf@temp@c)*(#3/\pgf@temp@c)-1*((#1/\pgf@temp@c)*(#5/\pgf@temp@c))+(-(#3/\pgf@temp@c)+(#5/\pgf@temp@c))*(\pgf@path@lastx/\pgf@temp@c))}% + \pgfutil@tempdima=\pgfmathresult pt\relax% + % ^^^ discriminant + \ifdim\pgf@temp@b pt<0.01pt\relax% + % approximately linear + \pgfmathparse{abs(2*(#1)-2*(#3)+(#5))}% + \pgfutil@tempdimb=\pgfmathresult pt\relax% + \ifdim\pgfutil@tempdimb<0.1pt\relax% + % if the denominator is very small, t is *likely* large but could be 0/0 + \else + \pgfmathsetmacro{\pgf@temp@a}{(2*(#1)-3*(#3)+(#5))/(2*(#1)-2*(#3)+(#5))}% + \pgfmathparse{\pgf@path@lastx*pow(1-\pgf@temp@a,3)+3*#1*pow(1-\pgf@temp@a,2)*\pgf@temp@a+3*#3*(1-\pgf@temp@a)*\pgf@temp@a*\pgf@temp@a+#5*pow(\pgf@temp@a,3)}% + \pgfutil@tempdimb=\pgfmathresult pt\relax% + \pgf@protocolsizes{\pgfutil@tempdimb}{#6}% + \fi% + \else + \ifdim\pgfutil@tempdima<0pt\relax% negative discriminant -> no turning point + \else + \pgfmathsetmacro{\pgf@temp@a}{min(1,max(0,(\pgf@path@lastx-2*#1+#3-\pgf@temp@c*sqrt(\pgfutil@tempdima))/(\pgf@path@lastx-#5-3*#1+3*#3)))}% + \pgfmathparse{\pgf@path@lastx*pow(1-\pgf@temp@a,3)+3*#1*pow(1-\pgf@temp@a,2)*\pgf@temp@a+3*#3*(1-\pgf@temp@a)*\pgf@temp@a*\pgf@temp@a+#5*pow(\pgf@temp@a,3)}% + \pgfutil@tempdimb=\pgfmathresult pt\relax% + \pgf@protocolsizes{\pgfutil@tempdimb}{#6}% + \pgfmathsetmacro{\pgf@temp@a}{min(1,max(0,(\pgf@path@lastx-2*#1+#3+\pgf@temp@c*sqrt(\pgfutil@tempdima))/(\pgf@path@lastx-#5-3*#1+3*#3)))}% + \pgfmathparse{\pgf@path@lastx*pow(1-\pgf@temp@a,3)+3*#1*pow(1-\pgf@temp@a,2)*\pgf@temp@a+3*#3*(1-\pgf@temp@a)*\pgf@temp@a*\pgf@temp@a+#5*pow(\pgf@temp@a,3)}% + \pgfutil@tempdimb=\pgfmathresult pt\relax% + \pgf@protocolsizes{\pgfutil@tempdimb}{#6}% + \fi% + \fi + %%%%%%%%%%%%%%%%%%%%%%%%%%% + % extrema in y (completely analogous to the above) + \pgfmathsetmacro{\pgf@temp@b}{abs(\pgf@path@lasty-#6-3*#2+3*#4)}% + \pgfmathsetmacro{\pgf@temp@c}{max(1+\pgf@path@lasty,max(#2,max(#4,#6)))}% + \pgfmathparse{((#2/\pgf@temp@c)*(#2/\pgf@temp@c)-1*((#2/\pgf@temp@c)*(#4/\pgf@temp@c))+(#4/\pgf@temp@c)*(#4/\pgf@temp@c)-1*((#2/\pgf@temp@c)*(#6/\pgf@temp@c))+(-(#4/\pgf@temp@c)+(#6/\pgf@temp@c))*(\pgf@path@lasty/\pgf@temp@c))}% + \pgfutil@tempdima=\pgfmathresult pt\relax% + % ^^^ discriminant + \ifdim\pgf@temp@b pt<0.01pt\relax% + % approximately linear + \pgfmathparse{abs(2*(#2)-2*(#4)+(#6))}% + \pgfutil@tempdimb=\pgfmathresult pt\relax% + \ifdim\pgfutil@tempdimb<0.1pt\relax% + % if the denominator is very small, t is *likely* large but could be 0/0 + \else + \pgfmathsetmacro{\pgf@temp@a}{(2*(#2)-3*(#4)+(#6))/(2*(#2)-2*(#4)+(#6))}% + \pgfmathparse{\pgf@path@lasty*pow(1-\pgf@temp@a,3)+3*#2*pow(1-\pgf@temp@a,2)*\pgf@temp@a+3*#4*(1-\pgf@temp@a)*\pgf@temp@a*\pgf@temp@a+#6*pow(\pgf@temp@a,3)}% + \pgfutil@tempdimb=\pgfmathresult pt\relax% + \pgf@protocolsizes{#5}{\pgfutil@tempdimb}% + \fi% + \else + \ifdim\pgfutil@tempdima<0pt\relax% negative discriminant -> no turning point + \else + \pgfmathsetmacro{\pgf@temp@a}{min(1,max(0,(\pgf@path@lasty-2*#2+#4-\pgf@temp@c*sqrt(\pgfutil@tempdima))/(\pgf@path@lasty-#6-3*#2+3*#4)))}% + \pgfmathparse{\pgf@path@lasty*pow(1-\pgf@temp@a,3)+3*#2*pow(1-\pgf@temp@a,2)*\pgf@temp@a+3*#4*(1-\pgf@temp@a)*\pgf@temp@a*\pgf@temp@a+#6*pow(\pgf@temp@a,3)}% + \pgfutil@tempdimb=\pgfmathresult pt\relax% + \pgf@protocolsizes{#5}{\pgfutil@tempdimb}% + \pgfmathsetmacro{\pgf@temp@a}{min(1,max(0,(\pgf@path@lasty-2*#2+#4+\pgf@temp@c*sqrt(\pgfutil@tempdima))/(\pgf@path@lasty-#6-3*#2+3*#4)))}% + \pgfmathparse{\pgf@path@lasty*pow(1-\pgf@temp@a,3)+3*#2*pow(1-\pgf@temp@a,2)*\pgf@temp@a+3*#4*(1-\pgf@temp@a)*\pgf@temp@a*\pgf@temp@a+#6*pow(\pgf@temp@a,3)}% + \pgfutil@tempdimb=\pgfmathresult pt\relax% + \pgf@protocolsizes{#5}{\pgfutil@tempdimb}% + \fi% + \fi + \pgf@protocolsizes{\pgf@path@lastx}{\pgf@path@lasty}% + \pgf@protocolsizes{#5}{#6}% + \pgfsyssoftpath@curveto{\the#1}{\the#2}{\the#3}{\the#4}{\the#5}{\the#6}% +} |