| Current File : //usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshapes.symbols.code.tex |
% Copyright 2018 by Till Tantau and Mark Wibrow
%
% This file may be distributed and/or modified
%
% 1. under the LaTeX Project Public License and/or
% 2. under the GNU Public License.
%
% See the file doc/generic/pgf/licenses/LICENSE for more details.
\ProvidesFileRCS{pgflibraryshapes.symbols.code.tex}
\pgfdeclareshape{forbidden sign}
{%
\inheritsavedanchors[from=circle]% this is nearly a circle
\inheritanchorborder[from=circle]%
\inheritanchor[from=circle]{north}%
\inheritanchor[from=circle]{north west}%
\inheritanchor[from=circle]{north east}%
\inheritanchor[from=circle]{center}%
\inheritanchor[from=circle]{west}%
\inheritanchor[from=circle]{east}%
\inheritanchor[from=circle]{mid}%
\inheritanchor[from=circle]{mid west}%
\inheritanchor[from=circle]{mid east}%
\inheritanchor[from=circle]{base}%
\inheritanchor[from=circle]{base west}%
\inheritanchor[from=circle]{base east}%
\inheritanchor[from=circle]{south}%
\inheritanchor[from=circle]{south west}%
\inheritanchor[from=circle]{south east}%
\inheritbackgroundpath[from=circle]%
\foregroundpath{
\centerpoint%
\pgf@xc=\pgf@x%
\pgf@yc=\pgf@y%
\pgfutil@tempdima=\radius%
\pgfmathsetlength{\pgf@xb}{\pgfkeysvalueof{/pgf/outer xsep}}%
\pgfmathsetlength{\pgf@yb}{\pgfkeysvalueof{/pgf/outer ysep}}%
\ifdim\pgf@xb<\pgf@yb%
\advance\pgfutil@tempdima by-\pgf@yb%
\else%
\advance\pgfutil@tempdima by-\pgf@xb%
\fi%
\pgfpathmoveto{\pgfpointadd{\pgfqpoint{\pgf@xc}{\pgf@yc}}{\pgfqpoint{-0.707107\pgfutil@tempdima}{-0.707107\pgfutil@tempdima}}}
\pgfpathlineto{\pgfpointadd{\pgfqpoint{\pgf@xc}{\pgf@yc}}{\pgfqpoint{0.707107\pgfutil@tempdima}{0.707107\pgfutil@tempdima}}}
\pgfsetarrowsstart{}
\pgfsetarrowsend{}
}%
}%
\pgfdeclareshape{correct forbidden sign}
{%
\inheritsavedanchors[from=circle]% this is nearly a circle
\inheritanchorborder[from=circle]%
\inheritanchor[from=circle]{north}%
\inheritanchor[from=circle]{north west}%
\inheritanchor[from=circle]{north east}%
\inheritanchor[from=circle]{center}%
\inheritanchor[from=circle]{west}%
\inheritanchor[from=circle]{east}%
\inheritanchor[from=circle]{mid}%
\inheritanchor[from=circle]{mid west}%
\inheritanchor[from=circle]{mid east}%
\inheritanchor[from=circle]{base}%
\inheritanchor[from=circle]{base west}%
\inheritanchor[from=circle]{base east}%
\inheritanchor[from=circle]{south}%
\inheritanchor[from=circle]{south west}%
\inheritanchor[from=circle]{south east}%
\inheritbackgroundpath[from=circle]%
\foregroundpath{
\centerpoint%
\pgf@xc=\pgf@x%
\pgf@yc=\pgf@y%
\pgfutil@tempdima=\radius%
\pgfmathsetlength{\pgf@xb}{\pgfkeysvalueof{/pgf/outer xsep}}%
\pgfmathsetlength{\pgf@yb}{\pgfkeysvalueof{/pgf/outer ysep}}%
\ifdim\pgf@xb<\pgf@yb%
\advance\pgfutil@tempdima by-\pgf@yb%
\else%
\advance\pgfutil@tempdima by-\pgf@xb%
\fi%
\pgfpathmoveto{\pgfpointadd{\pgfqpoint{\pgf@xc}{\pgf@yc}}{\pgfqpoint{0.707107\pgfutil@tempdima}{-0.707107\pgfutil@tempdima}}}
\pgfpathlineto{\pgfpointadd{\pgfqpoint{\pgf@xc}{\pgf@yc}}{\pgfqpoint{-0.707107\pgfutil@tempdima}{0.707107\pgfutil@tempdima}}}
\pgfsetarrowsstart{}
\pgfsetarrowsend{}
}%
}%
% Keys for starburst shape
%
% /pgf/starburst point height : The maximum height of the outer points.
% /pgf/starburst points : The number of points.
% /pgf/random starburst : The seed for the random number generator.
%
\pgfkeys{/pgf/random starburst/%
.code={%
\ifx\pgfkeysnovalue#1%
\pgfmathgeneratepseudorandomnumber%
\else%
\pgfmathtruncatemacro\pgfmathresult{#1}%
\fi%
\pgfkeyslet{/pgf/random starburst}{\pgfmathresult}%
}%
}%
\pgfkeys{/pgf/random starburst=100}%
\pgfkeys{/pgf/starburst point height/.value required}%
\pgfkeys{/pgf/starburst point height/.code={%
\pgfmathparse{#1}%
\edef\pgfmathresult{\pgfmathresult pt}%
\pgfkeyslet{/pgf/starburst point height}{\pgfmathresult}%
}%
}%
\pgfkeys{/pgf/starburst point height=.5cm}%
\pgfkeys{/pgf/starburst points/.value required}%
\pgfkeys{/pgf/starburst points/.code={%
\pgfmathtruncatemacro\pgfmathresult{#1}%
\pgfkeyslet{/pgf/starburst points}{\pgfmathresult}%
}%
}%
\pgfkeys{/pgf/starburst points=17}%
\pgfdeclareshape{starburst}{%
\savedmacro\anglestep{%
\pgfmathdivide@{180}{\pgfkeysvalueof{/pgf/starburst points}}%
\let\anglestep\pgfmathresult%
}%
\savedmacro\calculatestarburstpoints{%
%
% Get the angle step.
%
\pgfmathdivide@{180}{\pgfkeysvalueof{/pgf/starburst points}}%
\let\anglestep\pgfmathresult%
%
% Get the total number of points.
%
\pgfmathsetcounter{pgf@counta}{\pgfkeysvalueof{/pgf/starburst points}}%
\multiply\c@pgf@counta2\relax%
\edef\totalpoints{\the\c@pgf@counta}%
\addtosavedmacro{\totalpoints}%
%
% Calculate the centerpoint.
%
\pgfextract@process\centerpoint{%
\pgfmathsetlength\pgf@x{+.5\wd\pgfnodeparttextbox}%
\pgfmathsetlength\pgf@y{+.5\ht\pgfnodeparttextbox}%
\pgfmathaddtolength\pgf@y{+-.5\dp\pgfnodeparttextbox}%
}%
%
% Get the larger of the outer sep.
%
\pgfmathsetlength\pgf@x{+\pgfkeysvalueof{/pgf/outer xsep}}%
\pgfmathsetlength\pgf@y{+\pgfkeysvalueof{/pgf/outer ysep}}%
\ifdim\pgf@x<\pgf@y%
\pgf@x\pgf@y%
\fi%
\edef\outersep{\the\pgf@x}%
%
% Get the node dimensions.
%
\pgfmathsetlength\pgf@x{+\pgfkeysvalueof{/pgf/inner xsep}}%
\pgfmathaddtolength\pgf@x{+.5\wd\pgfnodeparttextbox}%
\pgfmathsetlength\pgf@y{+\pgfkeysvalueof{/pgf/inner ysep}}%
\pgfmathaddtolength\pgf@y{+.5\ht\pgfnodeparttextbox}%
\pgfmathaddtolength\pgf@y{+.5\dp\pgfnodeparttextbox}%
%
% Calculate the inner radii.
%
\ifpgfshapeborderusesincircle%
\pgfkeysgetvalue{/pgf/shape border rotate}{\rotate}%
%
% Use the incircle...
%
\ifdim\pgf@y>\pgf@x%
\pgf@x\pgf@y%
\fi%
\pgf@x1.41421\pgf@x%
\pgf@y\pgf@x%
\else%
%
% Get the rotation (with rounding).
%
\pgfkeysgetvalue{/pgf/shape border rotate}{\rotate}%
\pgfmathmod@{\rotate}{360}%
\afterassignment\pgfmath@gobbletilpgfmath@%
\expandafter\c@pgf@counta\pgfmathresult\relax\pgfmath@%
\advance\c@pgf@counta45\relax%
\divide\c@pgf@counta90\relax%
\multiply\c@pgf@counta90\relax%
\ifnum\c@pgf@counta<0\relax%
\advance\c@pgf@counta360\relax%
\fi%
%
% Calculate the width and height of the node
% contents, according to any border rotation.
%
\ifnum\c@pgf@counta=90\relax%
\pgf@xc\pgf@x%
\pgf@x\pgf@y%
\pgf@y\pgf@xc%
\else%
\ifnum\c@pgf@counta=270\relax%
\pgf@xc\pgf@x%
\pgf@x\pgf@y%
\pgf@y\pgf@xc%
\fi%
\fi%
\edef\rotate{\the\c@pgf@counta}%
%
% ...or not.
%
\pgf@x=1.41421\pgf@x%
\pgf@y=1.41421\pgf@y%
\fi%
\addtosavedmacro{\rotate}%
%
% Adjust innerradius for minimum width and height.
%
\pgf@xa\pgf@x%
\pgfmathsetlength\pgf@xb{+\pgfkeysvalueof{/pgf/starburst point height}}%
\advance\pgf@xa\pgf@xb%
\pgfmathsetlength\pgf@xc{+\pgfkeysvalueof{/pgf/minimum width}}%
\ifdim\pgf@xa<.5\pgf@xc%
\pgf@x.5\pgf@xc%
\advance\pgf@x-\pgf@xb%
\fi%
\pgf@ya\pgf@y%
\pgfmathsetlength\pgf@yb{+\pgfkeysvalueof{/pgf/starburst point height}}%
\advance\pgf@ya\pgf@yb%
\pgfmathsetlength\pgf@yc{+\pgfkeysvalueof{/pgf/minimum height}}%
\ifdim\pgf@ya<.5\pgf@yc%
\pgf@y.5\pgf@yc%
\advance\pgf@y-\pgf@yb%
\fi%
\edef\xinnerradius{\the\pgf@x}%
\edef\yinnerradius{\the\pgf@y}%
\addtosavedmacro{\xinnerradius}%
\addtosavedmacro{\yinnerradius}%
%
% Calculate a radius outside the starburst.
%
\ifdim\pgf@y>\pgf@x%
\pgf@x\pgf@y%
\fi%
\pgfmathaddtolength\pgf@x{+\pgfkeysvalueof{/pgf/starburst point height}}%
\edef\externalradius{\the\pgf@x}%
\addtosavedmacro{\externalradius}%
%
% Set the seed for the random number generator.
%
\pgfmathsetseed{\pgfkeysvalueof{/pgf/random starburst}}%
%
% Now create the points on the shape and also
% the miter length and angle for each point.
%
\def\angle{90}% Start at the top.
%
% At point a, the miter length and angle are calculated for point b = a - 1.
%
\c@pgf@counta1\relax%
\c@pgf@countb0\relax%
%
% As 3 consecutive points are required to be defined for miter
% calculations, it is necessary to go over the first two points
% again.
%
\c@pgf@countc\totalpoints\relax%
\advance\c@pgf@countc2\relax%
\edef\looppoints{\the\c@pgf@countc}%
\let\secondpoint\pgfutil@empty%
\let\thirdpoint\pgfutil@empty%
\pgfmathloop%
%
% Cycle the point definitions.
%
\let\firstpoint\secondpoint%
\let\secondpoint\thirdpoint%
\ifnum\pgfmathcounter>\looppoints%
\else%
\ifnum\pgfmathcounter>\totalpoints%
\expandafter\let\expandafter\thirdpoint\csname point@\the\c@pgf@counta @\endcsname%
\else%
\ifodd\pgfmathcounter%
%
% An outer point.
%
\ifnum\pgfkeysvalueof{/pgf/random starburst}=0\relax%
\pgf@xa\pgfkeysvalueof{/pgf/starburst point height}\relax%
\else%
\pgf@x\pgfkeysvalueof{/pgf/starburst point height}\relax%
\pgf@xa.75\pgf@x%
\pgf@xb.25\pgf@x%
\pgfmathrnd%
\pgf@xa\pgfmathresult\pgf@xa%
\advance\pgf@xa\pgf@xb%
\fi%
\pgf@x\xinnerradius\relax%
\advance\pgf@x\pgf@xa%
\pgf@y\yinnerradius\relax%
\advance\pgf@y\pgf@xa%
\expandafter\pgfextract@process\csname point@\the\c@pgf@counta @\endcsname{%
\pgfpointpolar{\angle}{\the\pgf@x and \the\pgf@y}%
\pgf@xa\pgf@x%
\pgf@ya\pgf@y%
\centerpoint%
\advance\pgf@x\pgf@xa%
\advance\pgf@y\pgf@ya%
}%
\else%
%
% An inner point.
%
\expandafter\pgfextract@process\csname point@\the\c@pgf@counta @\endcsname{%
\pgfpointpolar{\angle}{\xinnerradius and \yinnerradius}%
\pgf@xa\pgf@x%
\pgf@ya\pgf@y%
\centerpoint%
\advance\pgf@x\pgf@xa%
\advance\pgf@y\pgf@ya%
}%
\fi%
%
% Add the points to the saved macro.
%
\expandafter\let\expandafter\thirdpoint\csname point@\the\c@pgf@counta @\endcsname%
\expandafter\addtosavedmacro\expandafter{\csname point@\the\c@pgf@counta @\endcsname}%
\fi%
%
% It is only possible to do the miter calculations if three points are defined.
%
\ifx\firstpoint\pgfutil@empty%
\else%
%
% Calculate the miter length...
%
\pgfmathanglebetweenlines{\secondpoint}{\thirdpoint}{\secondpoint}{\firstpoint}%
\pgfmathdivide@{\pgfmathresult}{2}%
\let\defaultmiterangle\pgfmathresult%
\pgfmathcosec@{\pgfmathresult}%
\pgf@x\outersep\relax%
\pgf@x\pgfmathresult\pgf@x%
\edef\miterlength{\the\pgf@x}%
%
% ...the miter angle...
%
\pgfmathanglebetweenlines{\firstpoint}{\secondpoint}{\firstpoint}{\thirdpoint}%
\pgfmathadd@{\pgfmathresult}{\defaultmiterangle}%
\pgfmathsubtract@{180}{\pgfmathresult}%
\let\angletemp\pgfmathresult%
\pgfmathanglebetweenpoints{\firstpoint}{\thirdpoint}%
\pgfmathsubtract@{180}{\pgfmathresult}%
\pgfmathsubtract@{\angletemp}{\pgfmathresult}%
\edef\miterangle{\pgfmathresult}%
%
% ...and thus the border point.
%
\pgfextract@process\borderpoint{%
\secondpoint%
\pgf@xa\pgf@x
\pgf@ya\pgf@y%
\pgfpointpolar{\miterangle}{\miterlength}%
\advance\pgf@x\pgf@xa%
\advance\pgf@y\pgf@ya%
}%
%
% Get the angle from the centerpoint to the *unrotated* border points.
%
\pgfmathanglebetweenpoints{\centerpoint}{\borderpoint}%
\expandafter\edef\csname angletoborderpoint@\the\c@pgf@countb @\endcsname{\pgfmathresult}%
\expandafter\addtosavedmacro\expandafter{\csname angletoborderpoint@\the\c@pgf@countb @\endcsname}%
%
% Rotate the border points and save.
%
\expandafter\pgfextract@process\csname borderpoint@\the\c@pgf@countb @\endcsname{%
\pgfmathrotatepointaround{\borderpoint}{\centerpoint}{\rotate}%
}%
\expandafter\addtosavedmacro\expandafter{\csname borderpoint@\the\c@pgf@countb @\endcsname}%
%
% Now create the anchors.
%
\c@pgf@countc\c@pgf@countb%
\advance\c@pgf@countc1\relax%
\divide\c@pgf@countc2\relax%
\ifodd\c@pgf@countb\relax%
\pgfutil@ifundefined{pgf@anchor@starburst@outer point\space\the\c@pgf@countc}{%
\expandafter\xdef\csname pgf@anchor@starburst@outer point\space\the\c@pgf@countc\endcsname{%
\noexpand\calculatestarburstpoints%
\noexpand\csname borderpoint@\the\c@pgf@countb @\noexpand\endcsname%
}%
}{}%
\else%
\pgfutil@ifundefined{pgf@anchor@starburst@inner point\space\the\c@pgf@countc}{%
\expandafter\xdef\csname pgf@anchor@starburst@inner point\space\the\c@pgf@countc\endcsname{%
\noexpand\calculatestarburstpoints%
\noexpand\csname borderpoint@\the\c@pgf@countb @\noexpand\endcsname%
}%
}{}%
\fi%
\fi%
\pgfmathadd@{\angle}{\anglestep}%
\pgfmathmod@{\pgfmathresult}{360}%
\let\angle\pgfmathresult%
\advance\c@pgf@counta1\relax%
\ifnum\c@pgf@counta>\totalpoints%
\c@pgf@counta1\relax%
\fi%
\advance\c@pgf@countb1\relax%
\ifnum\c@pgf@countb>\totalpoints%
\c@pgf@countb1\relax%
\fi%
\repeatpgfmathloop%
}%
\savedanchor\centerpoint{%
\pgfmathsetlength\pgf@x{+.5\wd\pgfnodeparttextbox}%
\pgfmathsetlength\pgf@y{+.5\ht\pgfnodeparttextbox}%
\pgfmathaddtolength\pgf@y{+-.5\dp\pgfnodeparttextbox}%
}%
\savedanchor\midpoint{%
\pgfmathsetlength\pgf@x{+.5\wd\pgfnodeparttextbox}%
\pgfmathsetlength\pgf@y{+.5ex}%
}%
\savedanchor\basepoint{%
\pgfmathsetlength\pgf@x{+.5\wd\pgfnodeparttextbox}%
\pgf@y0pt\relax%
}%
\anchor{center}{\centerpoint}%
\anchor{base}{\basepoint}%
\anchor{mid}{\midpoint}%
\anchor{north}{%
\calculatestarburstpoints%
\csname pgf@anchor@starburst@border\endcsname{\pgfqpoint{0pt}{\externalradius}}%
}%
\anchor{south}{%
\calculatestarburstpoints%
\csname pgf@anchor@starburst@border\endcsname{\pgfqpoint{0pt}{-\externalradius}}%
}%
\anchor{east}{%
\calculatestarburstpoints%
\csname pgf@anchor@starburst@border\endcsname{\pgfqpoint{\externalradius}{0pt}}%
}%
\anchor{west}{%
\calculatestarburstpoints%
\csname pgf@anchor@starburst@border\endcsname{\pgfqpoint{-\externalradius}{0pt}}%
}%
\anchor{north west}{%
\calculatestarburstpoints%
\csname pgf@anchor@starburst@border\endcsname{\pgfqpoint{-\externalradius}{\externalradius}}%
}%
\anchor{south west}{%
\calculatestarburstpoints%
\csname pgf@anchor@starburst@border\endcsname{\pgfqpoint{-\externalradius}{-\externalradius}}%
}%
\anchor{north east}{%
\calculatestarburstpoints%
\csname pgf@anchor@starburst@border\endcsname{\pgfqpoint{\externalradius}{\externalradius}}%
}%
\anchor{south east}{%
\calculatestarburstpoints%
\csname pgf@anchor@starburst@border\endcsname{\pgfqpoint{\externalradius}{-\externalradius}}%
}%
\backgroundpath{%
\calculatestarburstpoints%
\pgfmathloop%
\ifnum\pgfmathcounter>\totalpoints%
\else%
\ifnum\pgfmathcounter=1\relax%
\let\starburstaction\pgfpathmoveto%
\else%
\let\starburstaction\pgfpathlineto%
\fi%
\starburstaction{%
%\pgfmathrotatepointaround{\csname point@\pgfmathcounter @\endcsname}{\centerpoint}{\rotate}}%
\csname point@\pgfmathcounter @\endcsname}
\repeatpgfmathloop%
\pgfpathclose%
}%
\anchorborder{%
%
% Save x and y.
%
\edef\externalx{\the\pgf@x}%
\edef\externaly{\the\pgf@y}%
%
% Adjust the location of the external
% point relative to \centerpoint.
%
\centerpoint%
\pgf@xa\externalx\relax%
\pgf@ya\externaly\relax%
\advance\pgf@xa\pgf@x%
\advance\pgf@ya\pgf@y%
\edef\externalx{\the\pgf@xa}%
\edef\externaly{\the\pgf@ya}%
%
% Get the starburst points.
%
\calculatestarburstpoints%
%
% Get the angle of the external point to the \centerpoint.
%
\pgfmathanglebetweenpoints{\centerpoint}{\pgfqpoint{\externalx}{\externaly}}%
\pgfmathsubtract@{\pgfmathresult}{\rotate}%
\ifdim\pgfmathresult pt<0pt\relax%
\pgfmathadd@{\pgfmathresult}{360}%
\fi%
\let\externalangle\pgfmathresult%
%
% Locate the appropriate sides on the starburst border...
%
\ifdim\externalangle pt<90pt\relax%
\c@pgf@counta0\relax%
\c@pgf@countb\totalpoints\relax%
\pgfmathloop%
\ifnum\c@pgf@counta>0\relax%
\else%
\ifdim\csname angletoborderpoint@\the\c@pgf@countb @\endcsname pt>90pt\relax%
\c@pgf@counta\c@pgf@countb%
\else%
\ifdim\externalangle pt>\csname angletoborderpoint@\the\c@pgf@countb @\endcsname pt\relax%
\c@pgf@counta\c@pgf@countb%
\fi%
\fi%
\advance\c@pgf@countb-1\relax%
\repeatpgfmathloop%
\edef\first{\the\c@pgf@counta}%
\advance\c@pgf@counta1\relax%
\ifnum\c@pgf@counta>\totalpoints\relax%
\c@pgf@counta1\relax%
\fi%
\edef\second{\the\c@pgf@counta}%
\else%
\c@pgf@counta0\relax%
\pgfmathloop%
\ifnum\c@pgf@counta>0\relax%
\else%
\ifdim\csname angletoborderpoint@\pgfmathcounter @\endcsname pt<90pt\relax%
\c@pgf@counta\pgfmathcounter%
\else%
\ifdim\externalangle pt<\csname angletoborderpoint@\pgfmathcounter @\endcsname pt\relax%
\c@pgf@counta\pgfmathcounter%
\fi%
\fi%
\repeatpgfmathloop%
\edef\first{\the\c@pgf@counta}%
\advance\c@pgf@counta-1\relax%
\ifnum\c@pgf@counta=0\relax%
\c@pgf@counta\totalpoints\relax%
\fi%
\edef\second{\the\c@pgf@counta}%
\fi%
%
% ...and thus, the point on the star border.
%
\pgfpointintersectionoflines{\centerpoint}{\pgfqpoint{\externalx}{\externaly}}%
{\csname borderpoint@\first @\endcsname}{\csname borderpoint@\second @\endcsname}%
}%
}%
% Keys for shape cloud.
%
% /pgf/cloud puffs : the number of cloud puffs.
% /pgf/cloud puff arc : the length of the cloud puff arc.
\newif\ifpgfcloudanchorsuseellipse%
\newif\ifpgfcloudignoresaspect%
\pgfcloudignoresaspectfalse%
\pgfkeys{/pgf/.cd,
cloud puffs/.initial=10,
cloud puff arc/.initial=150,
cloud ignores aspect/.is if=pgfcloudignoresaspect,
cloud anchors use ellipse/.is if=pgfcloudanchorsuseellipse,
}%
% If symbol library is loaded separately these need to be defined.
%
\pgfkeys{/pgf/.cd,
aspect/.code={\pgfsetshapeaspect{#1}},% this for tikz...
shape aspect/.initial=1,% but this is consistent with other pgfset stuff.
shape aspect/.code={%
\pgfkeys{/pgf/aspect=#1}%
\pgfkeyssetvalue{/pgf/shape aspect}{#1}
}%
}%
\def\pgfsetshapeaspect#1{%
\def\pgfshapeaspect{#1}%
% Invert
\pgfutil@tempdima=#1pt%
\pgfutil@tempdima=.125\pgfutil@tempdima%
\c@pgf@counta=\pgfutil@tempdima\relax% 8192*determinant
\pgfutil@tempdima=8192pt%
\divide\pgfutil@tempdima by\c@pgf@counta%
\edef\pgfshapeaspectinverse{\pgf@sys@tonumber{\pgfutil@tempdima}}%
}%
\pgfsetshapeaspect{1}%
% Shape cloud.
%
\pgfdeclareshape{cloud}{%
\savedmacro\getradii{%
\pgfmathtruncatemacro\puffs{\pgfkeysvalueof{/pgf/cloud puffs}}%
\addtosavedmacro\puffs%
\pgfmathdivide{360}{\pgfkeysvalueof{/pgf/cloud puffs}}%
\let\anglestep\pgfmathresult%
\addtosavedmacro\anglestep%
\pgfmathsetmacro\arc{\pgfkeysvalueof{/pgf/cloud puff arc}}%
\addtosavedmacro\arc%
%
% x radius.
%
\pgfmathsetlength\pgf@x{\pgfkeysvalueof{/pgf/inner xsep}}%
\advance\pgf@x.5\wd\pgfnodeparttextbox%
\pgf@x1.4142135\pgf@x%
%
% y radius.
%
\pgfmathsetlength\pgf@y{\pgfkeysvalueof{/pgf/inner ysep}}%
\advance\pgf@y.5\ht\pgfnodeparttextbox%
\advance\pgf@y.5\dp\pgfnodeparttextbox%
\pgf@y1.4142135\pgf@y%
%
% Adjust for shape aspect.
%
\ifpgfcloudignoresaspect%
\pgf@xc\pgf@x%
\pgf@yc\pgf@y%
\else%
\pgf@xc\pgfshapeaspect\pgf@y%
\ifdim\pgf@xc<\pgf@x%
\pgf@xc\pgf@x%
\fi%
\pgf@yc\pgfshapeaspectinverse\pgf@xc%
\ifdim\pgf@yc<\pgf@y%
\pgf@yc\pgf@y%
\pgf@xc\pgfshapeaspect\pgf@y%
\fi%
\fi%
%
\edef\xinnerradius{\the\pgf@xc}%
\edef\yinnerradius{\the\pgf@yc}%
%
% Get the larger of the outer sep.
%
\pgfmathsetlength\pgf@x{\pgfkeysvalueof{/pgf/outer xsep}}%
\pgfmathsetlength\pgf@y{\pgfkeysvalueof{/pgf/outer ysep}}%
\ifdim\pgf@x<\pgf@y%
\pgf@x\pgf@y%
\fi%
\edef\outersep{\the\pgf@x}%
\addtosavedmacro\outersep%
%
% For a given cloud, with puff arc length a, the quotient of the
% distance between the start and end point of a puffs circular arc
% and the radius of that arc, is constant:
%
% g = .5 * sec((180-a)/2)
%
\pgfmathsubtract{180}{\arc}%
\pgfmathdivide@{\pgfmathresult}{2}%
\let\tempangle\pgfmathresult%
\pgfmathsec@{\pgfmathresult}%
\pgfmathdivide@{\pgfmathresult}{2}%
\let\arcradiusquotient\pgfmathresult%
\addtosavedmacro\arcradiusquotient%
%
% In addition, the quotient of the distance between the start and
% end point of a puffs circular arc and the height of that arc
% (ignoring rotation), is also constant:
%
% h = .5 * (1-sin((180-a)/2))/cos((180-a)/2)
% = g * (1 - sin((180-a)/2))
\pgfmathsin@{\tempangle}%
\pgfmathsubtract@{1}{\pgfmathresult}%
\pgfmathmultiply@{\pgfmathresult}{\arcradiusquotient}%
\let\archeightquotient\pgfmathresult%
\addtosavedmacro\archeightquotient%
%
% Minimum size is applied to the circum-ellipse (i.e. the ellipse
% that passes through the extremities of each puff). Thus, the
% relationship between the radii of the elliptical incircle ("inellipse"?)
% of the cloud (x and y) and the radii of the circum-ellipse (X and Y),
% is given by
%
% X = 2(x*cos(p/2) + ky)
% Y = 2(y*cos(p/2) + kx)
%
% where:
% k = sin(p/2)*((1-cos(a/2))/sin(a/2))
% p = the angle between each puff (i.e. 360/<puffs>)
% a = the length of arc of the puff.
%
\pgfmathdivide{\arc}{2}%
\let\halfarcangle\pgfmathresult%
\pgfmathcos@{\pgfmathresult}%
\pgfmathsubtract@{1}{\pgfmathresult}%
\let\pgf@temp\pgfmathresult%
\pgfmathsin@{\halfarcangle}%
\pgfmathdivide@{\pgf@temp}{\pgfmathresult}%
\let\pgf@temp\pgfmathresult%
\pgfmathdivide@{\anglestep}{2}%
\pgfmathsin@{\pgfmathresult}%
\pgfmathmultiply@{\pgfmathresult}{\pgf@temp}%
\let\k\pgfmathresult%
%
\pgfmathdivide@{\anglestep}{2}%
\pgfmathcos@{\pgfmathresult}%
\let\coshalfanglestep\pgfmathresult%
%
% Calculate the actual radii of the circum-ellipse.
%
\pgf@x\xinnerradius\relax%
\pgf@y\yinnerradius\relax%
\pgf@xa\coshalfanglestep\pgf@x%
\advance\pgf@xa\k\pgf@y%
\pgf@ya\coshalfanglestep\pgf@y%
\advance\pgf@ya\k\pgf@x%
%
% Adjust for minimum height (Y').
%
\pgfmathsetlength\pgf@yb{\pgfkeysvalueof{/pgf/minimum height}}%
\ifdim\pgf@ya<.5\pgf@yb%
\pgf@ya.5\pgf@yb%
\fi%
%
% Adjust for minimum width (X').
%
\pgfmathsetlength\pgf@xb{\pgfkeysvalueof{/pgf/minimum width}}%
\ifdim\pgf@xa<.5\pgf@xb%
\pgf@xa.5\pgf@xb%
\fi%
%
\edef\xouterradius{\the\pgf@xa}%
\addtosavedmacro\xouterradius%
\edef\youterradius{\the\pgf@ya}%
\addtosavedmacro\youterradius%
%
% Now recalculate `in-ellipse' radii:
%
% x = (X'cos(p/2)-kY')/cos^2(p/2)-k^2,
% y = (Y'cos(p/2)-kX')/cos^2(p/2)-k^2,
%
\pgf@xc\k pt\relax%
\pgf@xc-\k\pgf@xc%
\pgf@yc\coshalfanglestep pt\relax%
\pgf@yc\coshalfanglestep\pgf@yc%
\advance\pgf@xc\pgf@yc\relax%
\pgfmathreciprocal@{\pgfmath@tonumber{\pgf@xc}}% cos^2(p/2)-k^2
%
\pgf@x\coshalfanglestep\pgf@xa%
\advance\pgf@x-\k\pgf@ya%
\pgf@x\pgfmathresult\pgf@x%
\pgf@y\coshalfanglestep\pgf@ya%
\advance\pgf@y-\k\pgf@xa%
\pgf@y\pgfmathresult\pgf@y%
%
\edef\xinnerradius{\the\pgf@x}%
\edef\yinnerradius{\the\pgf@y}%
\addtosavedmacro\xinnerradius%
\addtosavedmacro\yinnerradius%
%
% Get some useful trig. constants.
%
\pgfmathdivide@{\arc}{4}%
\let\quarterarc\pgfmathresult%
\pgfmathsubtract@{180}{\arc}%
\pgfmathdivide@{\pgfmathresult}{2}%
\let\halfcomplementarc\pgfmathresult%
%
\addtosavedmacro\arc%
\addtosavedmacro\quarterarc%
\addtosavedmacro\halfcomplementarc%
%
\pgfmathsec@{\halfcomplementarc}% 1/cos((180-a)/2)
\let\sechalfcomplementarc\pgfmathresult%
\pgfmathsin@{\halfcomplementarc}% sin((180-a)/2)
\let\sinhalfcomplementarc\pgfmathresult%
%
\addtosavedmacro\sechalfcomplementarc%
\addtosavedmacro\sinhalfcomplementarc%
%
\pgfmathsin@{\quarterarc}% sin(a/4)
\let\sinquarterarc\pgfmathresult%
\pgfmathcos@{\quarterarc}% cos(a/4)
\let\cosquarterarc\pgfmathresult%
\pgfmathreciprocal@{\cosquarterarc}%
\pgfmathmultiply@{\pgfmathresult}{\sinquarterarc}% tan(a/4)
\let\tanquarterarc\pgfmathresult%
%
\addtosavedmacro\sinquarterarc%
\addtosavedmacro\cosquarterarc%
\addtosavedmacro\tanquarterarc%
%
}%
\savedanchor\centerpoint{%
\pgf@x.5\wd\pgfnodeparttextbox%
\pgf@y.5\ht\pgfnodeparttextbox%
\advance\pgf@y-.5\dp\pgfnodeparttextbox%
}%
\savedanchor\midpoint{%
\pgf@x.5\wd\pgfnodeparttextbox%
\pgfmathsetlength\pgf@y{+.5ex}%
}%
\savedanchor\basepoint{%
\pgf@x.5\wd\pgfnodeparttextbox%
\pgf@y0pt%
}%
\anchor{center}{\centerpoint}%
\anchor{mid}{\midpoint}%
\anchor{base}{\basepoint}%
\anchor{north}{%
\getradii%
\csname pgf@anchor@cloud@border\endcsname{\pgfqpoint{0pt}{\youterradius}}%
}%
\anchor{south}{%
\getradii%
\csname pgf@anchor@cloud@border\endcsname{\pgfqpoint{0pt}{-\youterradius}}%
}%
\anchor{east}{%
\getradii%
\csname pgf@anchor@cloud@border\endcsname{\pgfqpoint{\xouterradius}{0pt}}%
}%
\anchor{west}{%
\getradii%
\csname pgf@anchor@cloud@border\endcsname{\pgfqpoint{-\xouterradius}{0pt}}%
}%
\anchor{north west}{%
\getradii%
\pgfextract@process\pgf@sh{%
\pgf@x\xouterradius\relax%
\pgf@x-0.707106\pgf@x%
\pgf@y\youterradius\relax%
\pgf@y0.707106\pgf@y%
}%
\csname pgf@anchor@cloud@border\endcsname{\pgf@sh}%
}%
\anchor{north east}{%
\getradii%
\pgfextract@process\pgf@sh{%
\pgf@x\xouterradius\relax%
\pgf@x0.707106\pgf@x%
\pgf@y\youterradius\relax%
\pgf@y0.707106\pgf@y%
}%
\csname pgf@anchor@cloud@border\endcsname{\pgf@sh}%
}%
\anchor{south west}{%
\getradii%
\pgfextract@process\pgf@sh{%
\pgf@x\xouterradius\relax%
\pgf@x-0.707106\pgf@x%
\pgf@y\youterradius\relax%
\pgf@y-0.707106\pgf@y%
}%
\csname pgf@anchor@cloud@border\endcsname{\pgf@sh}%
}%
\anchor{south east}{%
\getradii%
\pgfextract@process\pgf@sh{%
\pgf@x\xouterradius\relax%
\pgf@x0.707106\pgf@x%
\pgf@y\youterradius\relax%
\pgf@y-0.707106\pgf@y%
}%
\csname pgf@anchor@cloud@border\endcsname{\pgf@sh}%
}%
%
% Each `puff' is a circular arc of length a, drawn using two a/2
% arcs (a < 180), approximated by Bezier curves.
% Due to TeX rounding errors, it is sometimes necessary to `force'
% the arc to end at a specific point. So...
%
% @article{riskus2006,
% author = {Aleskus Ri\v{s}kus},
% title = {Approximation of a cubic Bezier curve by circular arcs and vice versa},
% journal = {Information Technology and Control},
% year = {2006},
% volume = {35},
% number = {4}
% }
%
\backgroundpath{%
{%
\getradii%
%
% Get the start angle.
%
\pgfmathdivide@{\anglestep}{2}%
\pgfmathsubtract@{90}{\pgfmathresult}%
\let\angle\pgfmathresult%
%
% Calculate the first arc point.
%
\pgfextract@process\arcfirstpoint{%
\pgfpointadd{\centerpoint}{%
\pgfpointpolar{+\angle}{+\xinnerradius and +\yinnerradius}%
}%
}%
\pgfpathmoveto{\arcfirstpoint}%
\let\arcendpoint\arcfirstpoint%
%
\pgfmathloop%
\ifnum\pgfmathcounter>\puffs\relax%
\else
\let\arcstartpoint\arcendpoint%
%
% Make sure beginning and end of path are exactly the same.
%
\ifnum\pgfmathcounter=\puffs\relax%
\let\arcendpoint\arcfirstpoint%
\else%
\pgfmathadd@{\angle}{\anglestep}%
\let\angle\pgfmathresult%
\pgfextract@process\arcendpoint{%
\pgfpointadd{\centerpoint}{%
\pgfpointpolar{+\angle}{+\xinnerradius and +\yinnerradius}%
}%
}%
\fi%
%
% Get some useful cloud parameters from \arcstartpoint and \arcendpoint.
%
\pgf@sh@getcloudpuffparameters%
%
% Get the rotation for the Bezier curve.
%
\pgfmathsubtract@{90}{\quarterarc}%
\pgfmathadd@{\pgfmathresult}{\arcslope}%
\let\arcrotate\pgfmathresult%
\pgfmathsin@{\arcrotate}%
\let\sinarcrotate\pgfmathresult%
\pgfmathcos@{\arcrotate}%
\let\cosarcrotate\pgfmathresult%
%
% Calculate the amount by which to scale the control
% points, in order to approximate an a/2 arc with radius x.
%
\pgf@x\arcradius\relax%
\pgf@x\tanquarterarc\pgf@x% tan(a/4)
\edef\controlscale{\pgfmath@tonumber{\pgf@x}}%
%
% Get the first control point for the first arc (length a/2)...
%
\pgfextract@process\controlone{%
%
% k = 0.552284745 (a `magic' number)...
%
\pgf@x0.55228475pt\relax%
\pgf@x\sinquarterarc\pgf@x% k * sin(a/2)
\pgf@y0.55228475pt\relax%
\pgf@y\cosquarterarc\pgf@y% k * cos(a/2)
%
% ...scale the control points up...
%
\pgf@x\controlscale\pgf@x%
\pgf@y\controlscale\pgf@y%
%
% ...rotate...
%
\pgf@xa\cosarcrotate\pgf@x%
\advance\pgf@xa-\sinarcrotate\pgf@y%
\pgf@ya\cosarcrotate\pgf@y%
\advance\pgf@ya\sinarcrotate\pgf@x%
%
% ...and shift.
%
\arcstartpoint%
\advance\pgf@x\pgf@xa%
\advance\pgf@y\pgf@ya%
}%
%
% Get the midpoint of the 150� arc.
%
\pgfextract@process\arcmidpoint{%
\pgfextract@process\arcmidpoint{%
\pgf@x-\halfchordlength\relax%
\pgf@y\segmentheight\relax%
}%
\pgfpointadd{\arcstartpoint}{%
\pgfmathrotatepointaround{\arcmidpoint}{\pgfpointorigin}{\arcslope}%
}%
}%
%
% Get the second control point for the first arc (length a/2)...
%
\pgfextract@process\controltwo{%
\pgf@x0.55228475pt\relax%
\pgf@x\sinquarterarc\pgf@x% k * sin(a/2)
\pgf@y-0.55228475pt\relax%
\pgf@y\cosquarterarc\pgf@y% -k * cos(a/2)
%
% ...scale, rotate and shift.
%
\pgf@x\controlscale\pgf@x%
\pgf@y\controlscale\pgf@y%
%
\pgf@xa\cosarcrotate\pgf@x%
\advance\pgf@xa-\sinarcrotate\pgf@y%
\pgf@ya\cosarcrotate\pgf@y%
\advance\pgf@ya\sinarcrotate\pgf@x%
%
\arcmidpoint%
\advance\pgf@x\pgf@xa%
\advance\pgf@y\pgf@ya%
}%
{%
\pgfsetcornersarced{\pgfpointorigin}%
\pgfpathcurveto{\controlone}{\controltwo}{\arcmidpoint}%
}%
%
% Do the same for the second arc...
%
\pgfmathadd@{\quarterarc}{90}%
\pgfmathadd@{\pgfmathresult}{\arcslope}%
\let\arcrotate\pgfmathresult%
\pgfmathsin@{\arcrotate}%
\let\sinarcrotate\pgfmathresult%
\pgfmathcos@{\arcrotate}%
\let\cosarcrotate\pgfmathresult%
%
% First control point for the second arc...
%
\pgfextract@process\controlone{%
\pgf@x0.55228475pt\relax%
\pgf@x\sinquarterarc\pgf@x% k * sin(a/2)
\pgf@y0.55228475pt\relax%
\pgf@y\cosquarterarc\pgf@y% k * cos(a/2)
%
% ...scale, rotate and shift.
%
\pgf@x\controlscale\pgf@x%
\pgf@y\controlscale\pgf@y%
%
\pgf@xa\cosarcrotate\pgf@x%
\advance\pgf@xa-\sinarcrotate\pgf@y%
\pgf@ya\cosarcrotate\pgf@y%
\advance\pgf@ya\sinarcrotate\pgf@x%
%
\arcmidpoint%
\advance\pgf@x\pgf@xa%
\advance\pgf@y\pgf@ya%
}%
%
% Second control point for the second arc.
%
\pgfextract@process\controltwo{%
\pgf@x0.55228475pt\relax%
\pgf@x\sinquarterarc\pgf@x% k * sin(a/2)
\pgf@y-0.55228475pt\relax%
\pgf@y\cosquarterarc\pgf@y% -k * cos(a/2)
%
% ...scale, rotate and shift.
%
\pgf@x\controlscale\pgf@x%
\pgf@y\controlscale\pgf@y%
%
\pgf@xa\cosarcrotate\pgf@x%
\advance\pgf@xa-\sinarcrotate\pgf@y%
\pgf@ya\cosarcrotate\pgf@y%
\advance\pgf@ya\sinarcrotate\pgf@x%
%
\arcendpoint%
\advance\pgf@x\pgf@xa%
\advance\pgf@y\pgf@ya%
}%
\pgfpathcurveto{\controlone}{\controltwo}{\arcendpoint}%
\repeatpgfmathloop%
\pgfpathclose% Phew!
}%
}%
%
% Calculate a point on the border of the cloud. This is a two-stage process:
%
% 1. Locate the correct puff.
% 2. Locate the angle on the circular arc which forms the puff.
%
\anchorborder{%
%
% Save x and y.
%
\edef\externalx{\the\pgf@x}%
\edef\externaly{\the\pgf@y}%
%
% Get the inner radii and trig. constants.
%
\getradii%
%
%
%
\ifpgfcloudanchorsuseellipse%
\pgfpointadd{\centerpoint}{%
\pgfpointborderellipse{%
\pgfpoint{\externalx}{\externaly}
}{%
\pgfpoint{\xouterradius}{\youterradius}
}%
}%
\else%
\pgfextract@process\externalpoint{%
\centerpoint%
\advance\pgf@x\externalx\relax%
\advance\pgf@y\externaly\relax%
}%
\pgfmathanglebetweenpoints{\centerpoint}{\externalpoint}%
\let\externalangle\pgfmathresult%
%
% 1. Locate the correct puff:
%
% Get end angle of the relevant puff arc.
%
\pgfmathdivide@{\anglestep}{2}%
\let\halfanglestep\pgfmathresult%
\pgfmathsubtract@{90}{\halfanglestep}%
\let\endangle\pgfmathresult%
\pgfmathloop%
\pgfmathsubtract@{\endangle}{\anglestep}%
\ifdim\pgfmathresult pt<-\anglestep pt\relax%
\else%
\let\endangle\pgfmathresult%
\repeatpgfmathloop%
\def\angle{0}%
\let\lastangle\angle%
\pgfmathloop%
\pgfmathadd@{\endangle}{\anglestep}%
\let\endangle\pgfmathresult%
%
% Calculate the `miter point'. This is the point between
% each puff, and takes into account the outer sep.
%
\pgfextract@process\miterpoint{%
%
\pgfextract@process\secondpoint{%
\pgfpointpolar{+\endangle}{+\xinnerradius and +\yinnerradius}%
}%
%
\pgfmathadd@{\endangle}{\anglestep}%
\let\angletemp\pgfmathresult%
\pgfextract@process\thirdpoint{%
\pgfpointpolar{+\angletemp}{+\xinnerradius and +\yinnerradius}%
}%
%
\pgfmathsubtract@{\endangle}{\anglestep}%
\let\angletemp\pgfmathresult%
\pgfextract@process\firstpoint{%
\pgfpointpolar{+\angletemp}{+\xinnerradius and +\yinnerradius}%
}%
%
\pgfmathanglebetweenpoints{\firstpoint}{\secondpoint}%
\let\anglealpha\pgfmathresult%
\pgfmathanglebetweenpoints{\secondpoint}{\thirdpoint}%
\let\anglebeta\pgfmathresult%
%
\pgfmathsubtract@{\anglebeta}{\anglealpha}%
\pgfmathdivide@{\pgfmathresult}{2}%
\pgfmathadd@{\pgfmathresult}{\halfcomplementarc}%
\pgfmathcosec@{\pgfmathresult}%
\pgf@x\outersep\relax%
\pgf@x\pgfmathresult\pgf@x%
\edef\miterradius{\the\pgf@x}%
%
\pgfmathadd@{\anglealpha}{\anglebeta}%
\pgfmathsubtract@{\pgfmathresult}{180}%
\pgfmathdivide@{\pgfmathresult}{2}%
\let\miterangle\pgfmathresult%
\pgfpointadd{\secondpoint}{%
\pgfqpointpolar{\miterangle}{\miterradius}%
}%
}%
%
% Get the angle of the miter point...
%
\pgfmathanglebetweenpoints{\pgfpointorigin}{\miterpoint}%
\let\angle\pgfmathresult%
\ifdim\angle pt<\lastangle pt\relax% Guard against 360� = 0�
\pgfmathadd@{\angle}{360}%
\let\angle\pgfmathresult%
\fi%
\let\lastangle\angle%
%
% ...and see if it is greater than the external point.
%
\ifdim\externalangle pt>\angle pt\relax%
\repeatpgfmathloop%
%
% Get the start angle of the relevant arc and ensure angles are in the range.
%
\pgfmathmod@{\endangle}{360}%
\let\endangle\pgfmathresult%
\pgfmathsubtract@{\endangle}{\anglestep}%
\ifdim\pgfmathresult pt<0pt\relax%
\pgfmathadd@{\pgfmathresult}{360}%
\fi%
\let\startangle\pgfmathresult%
%
% Now, get the start and end points of the arc.
%
\pgfextract@process\arcstartpoint{%
\pgfpointadd{\centerpoint}{%
\pgfpointpolar{+\startangle}{+\xinnerradius and +\yinnerradius}%
}%
}%
\pgfextract@process\arcendpoint{%
\pgfpointadd{\centerpoint}{%
\pgfpointpolar{+\endangle}{+\xinnerradius and +\yinnerradius}%
}%
}%
%
% Get some useful cloud parameters from \arcstartpoint and \arcendpoint.
%
\pgf@sh@getcloudpuffparameters%
%
% Hackery, for when an arc straddles 0�.
%
\ifdim\endangle pt<\startangle pt\relax%
\pgfmathadd@{\externalangle}{180}%
\pgfmathmod@{\pgfmathresult}{360}%
\let\x\pgfmathresult%
\else%
\let\x\externalangle%
\fi%
%
% 2. Locate the angle on the circular arc which forms the puff.
%
% Essentially a binary search to find the angle on the circular
% arc, which provides the nearest estimate to the border point.
%
\let\s\halfcomplementarc% The start of the arc.
\pgfmathadd@{\s}{\arc}%
\let\e\pgfmathresult% The end of the arc.
\pgfmathadd@{\e}{\s}%
\pgfmathdivide@{\pgfmathresult}{2}%
\let\n\pgfmathresult% The nearest estimate (default to middle of arc).
\def\m{360}% Measure of `nearness'.
\pgfmathloop%
\pgfmathadd@{\e}{\s}%
\pgfmathdivide@{\pgfmathresult}{2}%
\let\p\pgfmathresult% The point halfway between \s and \e.
\ifdim\p pt=\s pt\relax%
\else%
%
% Get the point on the circular arc.
%
\pgfmathadd@{\p}{\arcslope}%
\let\a\pgfmathresult%
\pgfextract@process\arcpoint{%
\pgfpointadd{\circlecenterpoint}{%
\pgfqpointpolar{\a}{\outerarcradius}%
}%
}%
%
% Find the angle between the node centre and the point on the arc.
%
\pgfmathanglebetweenpoints{\centerpoint}{\arcpoint}%
%
% Hackery, for when an arc straddles 0�.
%
\ifdim\endangle pt<\startangle pt\relax%
\pgfmathadd@{\pgfmathresult}{180}%
\pgfmathmod@{\pgfmathresult}{360}%
\fi%
\let\q\pgfmathresult%
\ifdim\x pt=\q pt% Found it!
\pgfmathbreakloop% Breaks after current iteration is complete.
\else
\ifdim\x pt<\q pt\relax%
\let\e\p%
\else%
\let\s\p%
\fi%
\fi%
\pgfmathsubtract@{\x}{\q}%
\pgfmathabs@{\pgfmathresult}%
%
% Save the estimate if it is better than any previous estimate.
%
\ifdim\pgfmathresult pt<\m pt\relax%
\let\m\pgfmathresult%
\let\n\p%
\fi%
\repeatpgfmathloop%
%
% Use the nearest estimate as the anchor angle.
%
\pgfmathadd@{\n}{\arcslope}%
\let\anchorangle\pgfmathresult%
%
% Finally, the required point.
%
\pgfpointadd{\circlecenterpoint}{%
\pgfqpointpolar{\anchorangle}{\outerarcradius}%
}%
\fi%
}% Again, Phew!
%
% Now, a sneaky hack. This means an arbitrary `puff' anchors
% can be used for positioning the cloud shape. This is needed
% if a cloud is positioned using the `puff <n+1>' anchor, where
% n is the number of puffs of any previously drawn cloud.
%
\pgfutil@g@addto@macro\pgf@sh@s@cloud{%
\c@pgf@counta\puffs\relax%
\pgfmathloop%
\ifnum\c@pgf@counta>0\relax%
\pgfutil@ifundefined{pgf@anchor@cloud@puff\space\the\c@pgf@counta}{%
\expandafter\xdef\csname pgf@anchor@cloud@puff\space\the\c@pgf@counta\endcsname{%
\noexpand\pgf@sh@@cloudpuffanchor{\the\c@pgf@counta}%
}%
}{\c@pgf@counta0\relax}%
\advance\c@pgf@counta-1\relax%
\repeatpgfmathloop%
}%
}%
% \pgf@sh@@cloudpuffanchor
%
% Internal macro for calculating the anchors puff 1, puff 2, ... etc.
%
\def\pgf@sh@@cloudpuffanchor#1{%
\getradii%
\pgfmathdivide@{\anglestep}{2}%
\let\halfanglestep\pgfmathresult%
\c@pgf@counta#1\relax%
\advance\c@pgf@counta-1\relax%
\pgfmathmultiply@{\anglestep}{\the\c@pgf@counta}%
\pgfmathadd@{\pgfmathresult}{90}%
\pgfmathsubtract@{\pgfmathresult}{\halfanglestep}%
\let\angle\pgfmathresult%
%
% Calculate the first arc point.
%
\pgfextract@process\arcstartpoint{%
\pgfpointadd{\centerpoint}{%
\pgfpointpolar{+\angle}{+\xinnerradius and +\yinnerradius}%
}%
}%
%
\pgfmathadd@{\angle}{\anglestep}%
\let\angle\pgfmathresult%
\pgfextract@process\arcendpoint{%
\pgfpointadd{\centerpoint}{%
\pgfpointpolar{+\angle}{+\xinnerradius and +\yinnerradius}%
}%
}%
%
% Get some useful cloud parameters from \arcstartpoint and \arcendpoint.
%
\pgf@sh@getcloudpuffparameters%
%
% Calculate the point.
%
\pgfmathadd@{\arcslope}{90}%
\let\anchorangle\pgfmathresult%
\pgfpointadd{\circlecenterpoint}{%
\pgfqpointpolar{\anchorangle}{\outerarcradius}%
}%
}%
% \pgf@sh@cloudpuffparameters
%
% Internal macro to calculate some common arc parameters which
% are required when calculating radii, drawing the background
% path and calculating border anchors.
%
\def\pgf@sh@getcloudpuffparameters{%
%
% Calculate the angle to which the entire arc is sloped.
%
\pgfmathanglebetweenpoints{\arcendpoint}{\arcstartpoint}%
\let\arcslope\pgfmathresult%
%
% Calculate the chord length and arc radius.
%
\pgfpointdiff{\arcendpoint}{\arcstartpoint}%
\pgfmathveclen@{\pgfmath@tonumber{\pgf@x}}{\pgfmath@tonumber{\pgf@y}}
\pgf@x\pgfmathresult pt\relax%
\pgf@xa.5\pgf@x%
\edef\halfchordlength{\the\pgf@xa}%
\pgf@x\arcradiusquotient\pgf@x%
\edef\arcradius{\the\pgf@x}%
\pgf@xa\outersep\relax%
\advance\pgf@xa\pgf@x%
\edef\outerarcradius{\the\pgf@xa}%
%
% Calculate the height of the resulting segment.
%
\pgf@y-\sinhalfcomplementarc\pgf@x% sin((180-a)/2)
\advance\pgf@y\pgf@x%
\edef\segmentheight{\the\pgf@y}%
%
% Calculate the center of the circle of which the arc is a part.
%
\pgfextract@process\circlecenterpoint{%
\pgfextract@process\circlecenterpoint{%
\pgf@x-\halfchordlength\relax%
\pgf@y\segmentheight\relax%
\advance\pgf@y-\arcradius
}%
\pgfpointadd{\arcstartpoint}{%
\pgfmathrotatepointaround{\circlecenterpoint}{\pgfpointorigin}{\arcslope}%
}%
}%
}%
% Internal macros for signal shape.
%
\def\pgf@lib@sh@signal@nowhere{nowhere}%
\def\pgf@lib@sh@signal@from{from}%
\def\pgf@lib@sh@signal@to{to}%
\def\pgf@lib@sh@signal@parsedirection#1#2{%
%
\let\pgf@lib@sh@signal@direction=#2%
\edef\pgf@lib@sh@temp{#1}%
\expandafter\pgf@lib@sh@signal@@parsedirection\pgf@lib@sh@temp\pgf@stop}%
\def\pgf@lib@sh@signal@@parsedirection#1\pgf@stop{%
\pgfutil@in@{and}{#1}%
\ifpgfutil@in@%
\pgf@lib@sh@signal@@@parsedirection#1\pgf@lib%
\else%
\pgf@lib@sh@signal@@@parsedirection#1 and #1\pgf@lib%
\fi
}%
\def\pgf@lib@sh@signal@@@parsedirection#1 and #2\pgf@lib{%
\pgfutil@in@{nowhere}{#1}%
\ifpgfutil@in@
\else%
\pgf@lib@sh@signal@@@@parsedirection{#1}%
\pgf@lib@sh@signal@@@@parsedirection{#2}%
\fi%
}%
\def\pgf@lib@sh@signal@@@@parsedirection#1{%
\pgfutil@in@{ #1 }{ east right }%
\ifpgfutil@in@%
\let\pgf@lib@sh@signal@east=\pgf@lib@sh@signal@direction%
\let\pgf@lib@sh@signal@north=\pgf@lib@sh@signal@nowhere%
\let\pgf@lib@sh@signal@south=\pgf@lib@sh@signal@nowhere%
\fi%
\pgfutil@in@{ #1 }{ left west }%
\ifpgfutil@in@%
\let\pgf@lib@sh@signal@west=\pgf@lib@sh@signal@direction%
\let\pgf@lib@sh@signal@north=\pgf@lib@sh@signal@nowhere%
\let\pgf@lib@sh@signal@south=\pgf@lib@sh@signal@nowhere%
\fi%
\pgfutil@in@{ #1 }{ above up north }%
\ifpgfutil@in@%
\let\pgf@lib@sh@signal@north=\pgf@lib@sh@signal@direction%
\let\pgf@lib@sh@signal@east=\pgf@lib@sh@signal@nowhere%
\let\pgf@lib@sh@signal@west=\pgf@lib@sh@signal@nowhere%
\fi%
\pgfutil@in@{ #1 }{ below down south }%
\ifpgfutil@in@%
\let\pgf@lib@sh@signal@south=\pgf@lib@sh@signal@direction%
\let\pgf@lib@sh@signal@east=\pgf@lib@sh@signal@nowhere%
\let\pgf@lib@sh@signal@west=\pgf@lib@sh@signal@nowhere%
\fi%
}%
% Keys for signal shape:
%
\pgfkeys{/pgf/.cd,
signal pointer angle/.initial=90,
signal to/.initial=east,
signal from/.initial=nowhere,
}%
\pgfdeclareshape{signal}{%
\savedmacro\installsignalparameters{%
%
\let\pgf@lib@sh@signal@north=\pgf@lib@sh@signal@nowhere%
\let\pgf@lib@sh@signal@south=\pgf@lib@sh@signal@nowhere%
\let\pgf@lib@sh@signal@east=\pgf@lib@sh@signal@nowhere%
\let\pgf@lib@sh@signal@west=\pgf@lib@sh@signal@nowhere%
%
\pgf@lib@sh@signal@parsedirection{\pgfkeysvalueof{/pgf/signal from}}{\pgf@lib@sh@signal@from}%
\pgf@lib@sh@signal@parsedirection{\pgfkeysvalueof{/pgf/signal to}}{\pgf@lib@sh@signal@to}%
%
% Define a centerpoint.
%
\pgfextract@process\centerpoint{%
\pgf@x.5\wd\pgfnodeparttextbox%
\pgf@y.5\ht\pgfnodeparttextbox%
\advance\pgf@y-.5\dp\pgfnodeparttextbox%
}%
%
% Get some useful trig. stuff
%
\pgfmathsetmacro\pointerangle{\pgfkeysvalueof{/pgf/signal pointer angle}}%
%
\pgfmathdivide@{\pointerangle}{2}%
\let\halfpointerangle=\pgfmathresult%
%
\pgfmathcosec@{\halfpointerangle}%
\let\cosechalfpointerangle=\pgfmathresult%
%
\pgfmathdivide@{\halfpointerangle}{2}%
\let\quarterpointerangle=\pgfmathresult%
%
\pgfmathcosec@{\quarterpointerangle}%
\let\cosecquarterpointerangle=\pgfmathresult%
%
\pgfmathsec@{\quarterpointerangle}%
\let\secquarterpointerangle=\pgfmathresult%
%
\pgfmathsubtract@{90}{\quarterpointerangle}%
\let\complementquarterpointerangle\pgfmathresult%
%
% Get the larger of the outer sep.
%
\pgfmathsetlength\pgf@x{\pgfkeysvalueof{/pgf/outer xsep}}%
\pgfmathsetlength\pgf@y{\pgfkeysvalueof{/pgf/outer ysep}}%
\ifdim\pgf@x>\pgf@y%
\pgf@y\pgf@x%
\fi%
\pgf@yc=\pgf@y%
%
% Calculate the miter due to the line width, at the pointer apex...
%
\pgf@x=\cosechalfpointerangle\pgf@y%
\edef\pointerapexmiter{\the\pgf@x}%
%
% ...at a corner by a `to' pointer (i.e. sticks out)...
%
\pgf@x=\secquarterpointerangle\pgf@y%
\edef\tocornermiter{\the\pgf@x}%
%
% ...at a corner by a `from' pointer (i.e. sticks in).
%
\pgf@x=\cosecquarterpointerangle\pgf@y
\edef\fromcornermiter{\the\pgf@x}%
%
% Get the (half) dimensions of the node.
%
\pgfmathsetlength\pgf@xa{\pgfkeysvalueof{/pgf/inner xsep}}%
\advance\pgf@xa.5\wd\pgfnodeparttextbox%
\pgfmathsetlength\pgf@ya{\pgfkeysvalueof{/pgf/inner ysep}}%
\advance\pgf@ya.5\ht\pgfnodeparttextbox%
\advance\pgf@ya.5\dp\pgfnodeparttextbox%
%
% Get the distance a pointer sticks out to the side...
%
\pgfmathsubtract@{90}{\halfpointerangle}%
\pgfmathtan@{\pgfmathresult}%
\pgf@xb=\pgfmathresult\pgf@ya%
%
% ...and up.
%
\pgf@yb=\pgfmathresult\pgf@xa%
%
% Adjust for minimum height.
%
\pgfutil@tempdima=2.0\pgf@ya%
\ifx\pgf@lib@sh@signal@north\pgf@lib@sh@signal@nowhere%
\else%
\advance\pgfutil@tempdima by\pgf@yb%
\fi%
\ifx\pgf@lib@sh@signal@south\pgf@lib@sh@signal@nowhere%
\else%
\advance\pgfutil@tempdima by\pgf@yb%
\fi%
\pgfmathsetlength\pgf@y{\pgfkeysvalueof{/pgf/minimum height}}%
\ifdim\pgfutil@tempdima<\pgf@y%
\pgfutil@tempdima=\pgf@y%
%
\ifx\pgf@lib@sh@signal@north\pgf@lib@sh@signal@nowhere%
\else%
\advance\pgfutil@tempdima by-\pgf@yb%
\fi%
\ifx\pgf@lib@sh@signal@south\pgf@lib@sh@signal@nowhere%
\else%
\advance\pgfutil@tempdima by-\pgf@yb%
\fi%
\pgf@ya=0.5\pgfutil@tempdima%
\pgfmathsubtract@{90}{\halfpointerangle}%
\pgfmathtan@{\pgfmathresult}%
\pgf@xb=\pgfmathresult\pgf@ya%
\fi%
%
% Adjust for minimum width.
%
\pgfutil@tempdima=2.0\pgf@xa%
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@nowhere%
\else%
\advance\pgfutil@tempdima by\pgf@xb%
\fi%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@nowhere%
\else%
\advance\pgfutil@tempdima by\pgf@xb%
\fi%
\pgfmathsetlength\pgf@x{\pgfkeysvalueof{/pgf/minimum width}}%
\ifdim\pgfutil@tempdima<\pgf@x%
\pgfutil@tempdima=\pgf@x%
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@nowhere%
\else%
\advance\pgfutil@tempdima by-\pgf@xb%
\fi%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@nowhere%
\else%
\advance\pgfutil@tempdima by-\pgf@xb%
\fi%
\pgf@xa=0.5\pgfutil@tempdima%
\pgfmathsubtract@{90}{\halfpointerangle}%
\pgfmathtan@{\pgfmathresult}%
\pgf@yb=\pgfmathresult\pgf@xa%
\fi%
%
% So, define the points for the background path.
%
\pgfextract@process\north{%
\centerpoint%
\advance\pgf@y\pgf@ya%
\ifx\pgf@lib@sh@signal@north\pgf@lib@sh@signal@to%
\advance\pgf@y\pgf@yb%
\fi%
}%
\pgfextract@process\south{%
\centerpoint%
\advance\pgf@y-\pgf@ya%
\ifx\pgf@lib@sh@signal@south\pgf@lib@sh@signal@to%
\advance\pgf@y-\pgf@yb%
\fi%
}%
\pgfextract@process\east{%
\centerpoint%
\advance\pgf@x\pgf@xa%
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@to%
\advance\pgf@x\pgf@xb%
\fi%
}%
\pgfextract@process\west{%
\centerpoint%
\advance\pgf@x-\pgf@xa%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@to%
\advance\pgf@x-\pgf@xb%
\fi%
}%
\pgfextract@process\northeast{%
\centerpoint%
\advance\pgf@y\pgf@ya%
\advance\pgf@x\pgf@xa%
\ifx\pgf@lib@sh@signal@north\pgf@lib@sh@signal@from%
\advance\pgf@y\pgf@yb%
\fi%
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@from%
\advance\pgf@x\pgf@xb%
\fi%
}%
\pgfextract@process\southeast{%
\centerpoint%
\advance\pgf@y-\pgf@ya%
\advance\pgf@x\pgf@xa%
\ifx\pgf@lib@sh@signal@south\pgf@lib@sh@signal@from%
\advance\pgf@y-\pgf@yb%
\fi%
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@from%
\advance\pgf@x\pgf@xb%
\fi%
}%
\pgfextract@process\southwest{%
\centerpoint%
\advance\pgf@y-\pgf@ya%
\advance\pgf@x-\pgf@xa%
\ifx\pgf@lib@sh@signal@south\pgf@lib@sh@signal@from%
\advance\pgf@y-\pgf@yb%
\fi%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@from%
\advance\pgf@x-\pgf@xb%
\fi%
}%
\pgfextract@process\northwest{%
\centerpoint%
\advance\pgf@y\pgf@ya%
\advance\pgf@x-\pgf@xa%
\ifx\pgf@lib@sh@signal@north\pgf@lib@sh@signal@from%
\advance\pgf@y\pgf@yb%
\fi%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@from%
\advance\pgf@x-\pgf@xb%
\fi%
}%
\addtosavedmacro{\north}%
\addtosavedmacro{\south}%
\addtosavedmacro{\east}%
\addtosavedmacro{\west}%
\addtosavedmacro{\northeast}%
\addtosavedmacro{\southwest}%
\addtosavedmacro{\southeast}%
\addtosavedmacro{\northwest}%
%
% Calculate the `miter vectors' (i.e. +outer sep).
%
\pgfextract@process\northmiter{%
\pgf@x0pt%
\ifx\pgf@lib@sh@signal@north\pgf@lib@sh@signal@nowhere%
\pgf@y\pgf@yc%
\else%
\pgf@y\pointerapexmiter\relax%
\fi%
}%
\pgfextract@process\southmiter{%
\pgf@x0pt%
\ifx\pgf@lib@sh@signal@south\pgf@lib@sh@signal@nowhere%
\pgf@y-\pgf@yc%
\else%
\pgf@y-\pointerapexmiter\relax%
\fi%
}%
\pgfextract@process\eastmiter{%
\pgf@y0pt%
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@nowhere%
\pgf@x\pgf@yc%
\else%
\pgf@x\pointerapexmiter\relax%
\fi%
}%
\pgfextract@process\westmiter{%
\pgf@y0pt%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@nowhere%
\pgf@x-\pgf@yc%
\else%
\pgf@x-\pointerapexmiter\relax%
\fi%
}%
\pgfextract@process\northeastmiter{%
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@nowhere%
\pgf@x\pgf@yc
\pgf@y\pgf@yc%
\else
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@from%
\pgfqpointpolar{\quarterpointerangle}{\fromcornermiter}
\else%
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@to%
\pgfqpointpolar{\complementquarterpointerangle}{\tocornermiter}%
\fi%
\fi%
\fi%
\ifx\pgf@lib@sh@signal@north\pgf@lib@sh@signal@from%
\pgfqpointpolar{\complementquarterpointerangle}{\fromcornermiter}%
\else%
\ifx\pgf@lib@sh@signal@north\pgf@lib@sh@signal@to%
\pgfqpointpolar{\quarterpointerangle}{\tocornermiter}%
\fi%
\fi%
}%
\pgfextract@process\southeastmiter{%
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@nowhere%
\pgf@x\pgf@yc%
\pgf@y\pgf@yc%
\else
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@from%
\pgfqpointpolar{-\quarterpointerangle}{\fromcornermiter}
\else%
\ifx\pgf@lib@sh@signal@east\pgf@lib@sh@signal@to%
\pgfqpointpolar{-\complementquarterpointerangle}{\tocornermiter}%
\fi%
\fi%
\fi%
\ifx\pgf@lib@sh@signal@south\pgf@lib@sh@signal@from%
\pgfqpointpolar{-\complementquarterpointerangle}{\fromcornermiter}
\else%
\ifx\pgf@lib@sh@signal@south\pgf@lib@sh@signal@to%
\pgfqpointpolar{-\quarterpointerangle}{\tocornermiter}%
\fi%
\fi%
}%
\pgfextract@process\southwestmiter{%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@nowhere%
\pgf@x-\pgf@yc
\pgf@y-\pgf@yc%
\else
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@from%
\pgfmathadd@{\quarterpointerangle}{180}%
\expandafter\pgfqpointpolar\expandafter{\pgfmathresult}{\fromcornermiter}
\else%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@to%
\pgfmathadd@{\complementquarterpointerangle}{180}%
\expandafter\pgfqpointpolar\expandafter{\pgfmathresult}{\tocornermiter}%
\fi%
\fi%
\fi%
\ifx\pgf@lib@sh@signal@south\pgf@lib@sh@signal@from%
\pgfmathadd@{\complementquarterpointerangle}{180}%
\expandafter\pgfqpointpolar\expandafter{\pgfmathresult}{\fromcornermiter}%
\else%
\ifx\pgf@lib@sh@signal@south\pgf@lib@sh@signal@to%
\pgfmathadd@{\quarterpointerangle}{180}%
\expandafter\pgfqpointpolar\expandafter{\pgfmathresult}{\tocornermiter}%
\fi%
\fi%
}%
\pgfextract@process\northwestmiter{%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@nowhere%
\pgf@x-\pgf@yc%
\pgf@y\pgf@yc%
\else
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@from%
\pgfmathsubtract@{180}{\quarterpointerangle}%
\expandafter\pgfqpointpolar\expandafter{\pgfmathresult}{\fromcornermiter}
\else%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@to%
\pgfmathsubtract@{180}{\complementquarterpointerangle}%
\expandafter\pgfqpointpolar\expandafter{\pgfmathresult}{\tocornermiter}%
\fi%
\fi%
\fi%
\ifx\pgf@lib@sh@signal@north\pgf@lib@sh@signal@from%
\pgfmathsubtract@{180}{\complementquarterpointerangle}%
\expandafter\pgfqpointpolar\expandafter{\pgfmathresult}{\fromcornermiter}%
\else%
\ifx\pgf@lib@sh@signal@west\pgf@lib@sh@signal@to%
\pgfmathsubtract@{180}{\quarterpointerangle}%
\expandafter\pgfqpointpolar\expandafter{\pgfmathresult}{\tocornermiter}%
\fi%
\fi%
}%
\addtosavedmacro{\northmiter}%
\addtosavedmacro{\southmiter}%
\addtosavedmacro{\eastmiter}%
\addtosavedmacro{\westmiter}%
\addtosavedmacro{\northeastmiter}%
\addtosavedmacro{\southeastmiter}%
\addtosavedmacro{\southwestmiter}%
\addtosavedmacro{\northwestmiter}%
%
% Now calculate the anchor points
%
\pgfextract@process\anchornorth{%
\pgfpointadd{\north}{\northmiter}%
}%
\pgfextract@process\anchorsouth{%
\pgfpointadd{\south}{\southmiter}%
}%
\pgfextract@process\anchoreast{%
\pgfpointadd{\east}{\eastmiter}%
}%
\pgfextract@process\anchorwest{%
\pgfpointadd{\west}{\westmiter}%
}%
\pgfextract@process\anchornortheast{%
\pgfpointadd{\northeast}{\northeastmiter}%
}%
\pgfextract@process\anchorsoutheast{%
\pgfpointadd{\southeast}{\southeastmiter}%
}%
\pgfextract@process\anchorsouthwest{%
\pgfpointadd{\southwest}{\southwestmiter}%
}%
\pgfextract@process\anchornorthwest{%
\pgfpointadd{\northwest}{\northwestmiter}%
}%
\addtosavedmacro{\anchornorth}%
\addtosavedmacro{\anchorsouth}%
\addtosavedmacro{\anchoreast}%
\addtosavedmacro{\anchorwest}%
\addtosavedmacro{\anchornortheast}%
\addtosavedmacro{\anchorsouthwest}%
\addtosavedmacro{\anchorsoutheast}%
\addtosavedmacro{\anchornorthwest}%
}%
\savedanchor\centerpoint{%
\pgf@x.5\wd\pgfnodeparttextbox%
\pgf@y.5\ht\pgfnodeparttextbox%
\advance\pgf@y-.5\dp\pgfnodeparttextbox%
}%
\savedanchor\basepoint{%
\pgf@x.5\wd\pgfnodeparttextbox%
\pgf@y0pt%
}%
\savedanchor\midpoint{%
\pgf@x.5\wd\pgfnodeparttextbox%
\pgfmathsetlength\pgf@y{+.5ex}%
}%
\anchor{center}{\centerpoint}%
\anchor{base}{\basepoint}%
\anchor{base east}{%
\installsignalparameters%
\anchoreast%
\pgf@xa\pgf@x%
\pgf@ya\pgf@y%
\anchorsoutheast%
\ifdim\pgf@xa>\pgf@x%
\pgfutil@tempdima\pgf@xa%
\else%
\pgfutil@tempdima\pgf@x%
\fi%
\pgfextract@process\externalpoint{%
\basepoint%
\pgf@x\pgfutil@tempdima%
}
\basepoint%
\let\firstpoint\anchoreast%
\ifdim\pgf@y<\pgf@ya%
\let\secondpoint\anchorsoutheast%
\else%
\let\secondpoint\anchornortheast%
\fi%
\pgfpointintersectionoflines{\basepoint}{\externalpoint}%
{\firstpoint}{\secondpoint}%
}%
\anchor{base west}{%
\installsignalparameters%
\anchorwest%
\pgf@xa\pgf@x%
\pgf@ya\pgf@y%
\anchorsouthwest%
\ifdim\pgf@xa<\pgf@x%
\pgfutil@tempdima\pgf@xa%
\else%
\pgfutil@tempdima\pgf@x%
\fi%
\pgfextract@process\externalpoint{%
\basepoint%
\pgf@x\pgfutil@tempdima%
}
\basepoint%
\let\firstpoint\anchorwest%
\ifdim\pgf@y<\pgf@ya%
\let\secondpoint\anchorsouthwest%
\else%
\let\secondpoint\anchornorthwest%
\fi%
\pgfpointintersectionoflines{\basepoint}{\externalpoint}%
{\firstpoint}{\secondpoint}%
}%
\anchor{mid}{\midpoint}%
\anchor{mid east}{%
\installsignalparameters%
\anchoreast%
\pgf@xa\pgf@x%
\pgf@ya\pgf@y%
\anchorsoutheast%
\ifdim\pgf@xa>\pgf@x%
\pgfutil@tempdima\pgf@xa%
\else%
\pgfutil@tempdima\pgf@x%
\fi%
\pgfextract@process\externalpoint{%
\midpoint%
\pgf@x\pgfutil@tempdima%
}
\midpoint%
\let\firstpoint\anchoreast%
\ifdim\pgf@y<\pgf@ya%
\let\secondpoint\anchorsoutheast%
\else%
\let\secondpoint\anchornortheast%
\fi%
\pgfpointintersectionoflines{\midpoint}{\externalpoint}%
{\firstpoint}{\secondpoint}%
}%
\anchor{mid west}{%
\installsignalparameters%
\anchorwest%
\pgf@xa\pgf@x%
\pgf@ya\pgf@y%
\anchorsouthwest%
\ifdim\pgf@xa<\pgf@x%
\pgfutil@tempdima\pgf@xa%
\else%
\pgfutil@tempdima\pgf@x%
\fi%
\pgfextract@process\externalpoint{%
\midpoint%
\pgf@x\pgfutil@tempdima%
}
\midpoint%
\let\firstpoint\anchorwest%
\ifdim\pgf@y<\pgf@ya%
\let\secondpoint\anchorsouthwest%
\else%
\let\secondpoint\anchornorthwest%
\fi%
\pgfpointintersectionoflines{\midpoint}{\externalpoint}%
{\firstpoint}{\secondpoint}%
}%
\anchor{north}{\installsignalparameters\anchornorth}%
\anchor{south}{\installsignalparameters\anchorsouth}%
\anchor{east}{\installsignalparameters\anchoreast}%
\anchor{west}{\installsignalparameters\anchorwest}%
\anchor{north east}{\installsignalparameters\anchornortheast}%
\anchor{south east}{\installsignalparameters\anchorsoutheast}%
\anchor{south west}{\installsignalparameters\anchorsouthwest}%
\anchor{north west}{\installsignalparameters\anchornorthwest}%
\backgroundpath{%
\installsignalparameters%
\pgfpathmoveto{\north}%
\pgfpathlineto{\northeast}%
\pgfpathlineto{\east}%
\pgfpathlineto{\southeast}%
\pgfpathlineto{\south}%
\pgfpathlineto{\southwest}%
\pgfpathlineto{\west}%
\pgfpathlineto{\northwest}%
\pgfpathclose%
}%
\anchorborder{%
%
% Save x and y.
%
\edef\externalx{\the\pgf@x}%
\edef\externaly{\the\pgf@y}%
%
% Adjust the location of the external
% point relative to \centerpoint.
%
\centerpoint%
\pgf@xa\externalx\relax%
\pgf@ya\externaly\relax%
\advance\pgf@xa\pgf@x%
\advance\pgf@ya\pgf@y%
\edef\externalx{\the\pgf@xa}%
\edef\externaly{\the\pgf@ya}%
%
% Get the shape parameters.
%
\installsignalparameters%
%
% Get the angle of the external point to the \centerpoint.
%
\pgfmathanglebetweenpoints{\centerpoint}{\pgfqpoint{\externalx}{\externaly}}%
\let\externalangle\pgfmathresult%
%
%
%
\pgfmathanglebetweenpoints{\centerpoint}{\anchorwest}%
\ifdim\externalangle pt<\pgfmathresult pt\relax%
\pgfmathanglebetweenpoints{\centerpoint}{\anchornorth}%
\ifdim\externalangle pt<\pgfmathresult pt\relax%
\pgfmathanglebetweenpoints{\centerpoint}{\anchornortheast}%
\ifdim\externalangle pt<\pgfmathresult pt\relax%
\let\firstpoint\anchoreast%
\let\secondpoint\anchornortheast%
\else%
\let\secondpoint\anchornortheast%
\let\firstpoint\anchornorth%
\fi%
\else%
\pgfmathanglebetweenpoints{\centerpoint}{\anchornorthwest}%
\ifdim\externalangle pt<\pgfmathresult pt\relax%
\let\firstpoint\anchornorth%
\let\secondpoint\anchornorthwest%
\else%
\let\secondpoint\anchornorthwest%
\let\firstpoint\anchorwest%
\fi%
\fi%
\else%
\pgfmathanglebetweenpoints{\centerpoint}{\anchorsouth}%
\ifdim\externalangle pt<\pgfmathresult pt\relax%
\pgfmathanglebetweenpoints{\centerpoint}{\anchorsouthwest}%
\ifdim\externalangle pt<\pgfmathresult pt\relax%
\let\firstpoint\anchorwest%
\let\secondpoint\anchorsouthwest%
\else%
\let\secondpoint\anchorsouthwest%
\let\firstpoint\anchorsouth%
\fi%
\else%
\pgfmathanglebetweenpoints{\centerpoint}{\anchorsoutheast}%
\ifdim\externalangle pt<\pgfmathresult pt\relax%
\let\firstpoint\anchorsouth%
\let\secondpoint\anchorsoutheast%
\else%
\let\secondpoint\anchorsoutheast%
\let\firstpoint\anchoreast%
\fi%
\fi%
\fi%
%
% Now locate the point.
%
\pgfpointintersectionoflines{\centerpoint}{\pgfqpoint{\externalx}{\externaly}}%
{\firstpoint}{\secondpoint}%
}%
}%
% Keys for shape tape
%
% /pgf/tape bend top : Type of bend for north side.
% /pgf/tape bend bottom : Type of bend for south side.
% /pgf/tape bend height : The height of the bends.
\pgfkeys{/pgf/.cd,
tape bend top/.initial=in and out,
tape bend bottom/.initial=in and out,
tape bend/.style={/pgf/tape bend top=#1, /pgf/tape bend bottom=#1},
tape bend height/.initial=5pt,
}%
\def\pgf@lib@sh@inandouttext{in and out}%
\def\pgf@lib@sh@outandintext{out and in}%
\def\pgf@lib@sh@nonetext{none}%
\pgfdeclareshape{tape}{%
\savedmacro\tapedimensions{%
\pgfmathsetlength\pgf@x{\pgfkeysvalueof{/pgf/inner xsep}}%
\advance\pgf@x.5\wd\pgfnodeparttextbox%
\pgfmathsetlength\pgf@y{\pgfkeysvalueof{/pgf/inner ysep}}%
\advance\pgf@y.5\ht\pgfnodeparttextbox%
\advance\pgf@y.5\dp\pgfnodeparttextbox%
%
\pgfmathsetlengthmacro\outerxsep{\pgfkeysvalueof{/pgf/outer xsep}}%
\pgfmathsetlengthmacro\outerysep{\pgfkeysvalueof{/pgf/outer ysep}}%
\addtosavedmacro\outerxsep%
\addtosavedmacro\outerysep%
%
\pgfmathsetlength\pgfutil@tempdima{\pgfkeysvalueof{/pgf/tape bend height}}%
\pgfutil@tempdima.5\pgfutil@tempdima%
\edef\halfbendheight{\the\pgfutil@tempdima}%
\addtosavedmacro\halfbendheight%
%
\pgfkeysgetvalue{/pgf/tape bend top}{\topbendstyle}%
\pgfkeysgetvalue{/pgf/tape bend bottom}{\bottombendstyle}%
\addtosavedmacro\topbendstyle%
\addtosavedmacro\bottombendstyle%
%
\ifx\topbendstyle\pgf@lib@sh@nonetext%
\else%
\advance\pgf@y\pgfutil@tempdima%
\fi%
\ifx\bottombendstyle\pgf@lib@sh@none%
\else%
\advance\pgf@y\pgfutil@tempdima%
\fi%
%
\pgfmathsetlength\pgf@xa{\pgfkeysvalueof{/pgf/minimum width}}%
\pgfmathsetlength\pgf@ya{\pgfkeysvalueof{/pgf/minimum height}}%
\ifdim\pgf@x<.5\pgf@xa%
\pgf@x.5\pgf@xa%
\fi%
\ifdim\pgf@y<.5\pgf@ya%
\pgf@y.5\pgf@ya%
\fi%
\ifx\topbendstyle\pgf@lib@sh@nonetext%
\else%
\advance\pgf@y-\pgfutil@tempdima%
\fi%
\ifx\bottombendstyle\pgf@lib@sh@nonetext%
\else%
\advance\pgf@y-\pgfutil@tempdima%
\fi%
%
\pgfutil@tempdima3.414213\pgfutil@tempdima% 1 / (1-sin(45))
\edef\bendyradius{\the\pgfutil@tempdima}%
\addtosavedmacro\bendyradius%
\advance\pgfutil@tempdima\outerysep%
\edef\outerbendyradius{\the\pgfutil@tempdima}%
\addtosavedmacro\outerbendyradius%
\advance\pgfutil@tempdima-\outerysep%
\advance\pgfutil@tempdima-\outerysep%
\edef\innerbendyradius{\the\pgfutil@tempdima}%
\addtosavedmacro\innerbendyradius%
%
\pgfutil@tempdima0.707106\pgf@x% cos(45)
\edef\bendxradius{\the\pgfutil@tempdima}%
\addtosavedmacro\bendxradius%
\advance\pgfutil@tempdima\outerxsep%
\edef\outerbendxradius{\the\pgfutil@tempdima}%
\addtosavedmacro\outerbendxradius%
\advance\pgfutil@tempdima-\outerxsep%
\advance\pgfutil@tempdima-\outerxsep%
\edef\innerbendxradius{\the\pgfutil@tempdima}%
\addtosavedmacro\innerbendxradius%
%
\edef\halfwidth{\the\pgf@x}%
\edef\halfheight{\the\pgf@y}%
\addtosavedmacro\halfwidth%
\addtosavedmacro\halfheight%
%
\advance\pgf@x\outerxsep%
\edef\outerhalfwidth{\the\pgf@x}%
\addtosavedmacro\outerhalfwidth%
%
\pgf@xc\bendxradius%
\pgf@yc\bendyradius%
\pgfmathdivide@{\pgfmath@tonumber{\pgf@yc}}{\pgfmath@tonumber{\pgf@xc}}%
\pgfmathatan{\pgfmathresult}%
\pgf@xc\pgfmathresult pt\relax%
\pgf@xc.5\pgf@xc%
\edef\halfangle{\pgfmath@tonumber{\pgf@xc}}%
\addtosavedmacro\halfangle%
%
\pgf@xc45pt\relax%
\advance\pgf@xc-\halfangle pt%
\pgfmathcot@{\pgfmath@tonumber{\pgf@xc}}%
\let\cothalfanglein\pgfmathresult%
\addtosavedmacro\cothalfanglein%
%
\pgf@xc90pt\relax%
\advance\pgf@xc-\halfangle pt%
\pgfmathcot@{\pgfmath@tonumber{\pgf@xc}}%
\let\cothalfangleout\pgfmathresult%
\addtosavedmacro\cothalfangleout%
%
}%
\savedanchor{\centerpoint}{%
\pgf@x.5\wd\pgfnodeparttextbox%
\pgf@y.5\ht\pgfnodeparttextbox%
\advance\pgf@y-.5\dp\pgfnodeparttextbox%
}%
\savedanchor{\midpoint}{%
\pgf@x.5\wd\pgfnodeparttextbox%
\pgfmathsetlength\pgf@y{+0.5ex}%
}%
\savedanchor{\basepoint}{%
\pgf@x.5\wd\pgfnodeparttextbox%
\pgf@y0pt%
}%
\anchor{center}{\centerpoint}%
\anchor{mid}{\midpoint}%
\anchor{mid east}{\tapedimensions\midpoint\advance\pgf@x\outerhalfwidth}%
\anchor{mid west}{\tapedimensions\midpoint\advance\pgf@x-\outerhalfwidth}%
\anchor{base}{\basepoint}%
\anchor{base east}{\tapedimensions\basepoint\advance\pgf@x\outerhalfwidth}%
\anchor{base west}{\tapedimensions\basepoint\advance\pgf@x-\outerhalfwidth}%
\anchor{north}{%
\csname pgf@anchor@tape@north east\endcsname%
\pgf@ya\pgf@y%
\csname pgf@anchor@tape@north west\endcsname%
\advance\pgf@ya\pgf@y%
\centerpoint%
\pgf@y.5\pgf@ya%
}%
\anchor{south}{%
\csname pgf@anchor@tape@south east\endcsname%
\pgf@ya\pgf@y%
\csname pgf@anchor@tape@south west\endcsname%
\advance\pgf@ya\pgf@y%
\centerpoint%
\pgf@y.5\pgf@ya%
}%
\anchor{east}{%
\tapedimensions%
\centerpoint%
\advance\pgf@x\outerhalfwidth%
}%
\anchor{west}{%
\tapedimensions%
\centerpoint%
\advance\pgf@x-\outerhalfwidth%
}%
\anchor{north east}{%
\tapedimensions%
\centerpoint%
\advance\pgf@x\outerhalfwidth%
\advance\pgf@y\halfheight%
\pgf@yc\outerysep%
\ifx\topbendstyle\pgf@lib@sh@inandouttext%
\advance\pgf@y\halfbendheight%
\advance\pgf@y\cothalfangleout\pgf@yc%
\else%
\ifx\topbendstyle\pgf@lib@sh@outandintext%
\advance\pgf@y\halfbendheight%
\advance\pgf@y\cothalfanglein\pgf@yc%
\else%
\advance\pgf@y\pgf@yc%
\fi%
\fi%
}%
\anchor{north west}{%
\tapedimensions%
\centerpoint%
\advance\pgf@x-\outerhalfwidth%
\advance\pgf@y\halfheight%
\pgf@yc\outerysep%
\ifx\topbendstyle\pgf@lib@sh@inandouttext%
\advance\pgf@y\halfbendheight%
\advance\pgf@y\cothalfanglein\pgf@yc%
\else%
\ifx\topbendstyle\pgf@lib@sh@outandintext%
\advance\pgf@y\halfbendheight%
\advance\pgf@y\cothalfangleout\pgf@yc%
\else%
\advance\pgf@y\pgf@yc%
\fi%
\fi%
}%
\anchor{south east}{%
\tapedimensions%
\centerpoint%
\advance\pgf@x\outerhalfwidth%
\advance\pgf@y-\halfheight%
\pgf@yc\outerysep%
\ifx\topbendstyle\pgf@lib@sh@outandintext%
\advance\pgf@y-\halfbendheight%
\advance\pgf@y-\cothalfangleout\pgf@yc%
\else%
\ifx\topbendstyle\pgf@lib@sh@inandouttext%
\advance\pgf@y-\halfbendheight%
\advance\pgf@y-\cothalfanglein\pgf@yc%
\else%
\advance\pgf@y-\pgf@yc%
\fi%
\fi%
}%
\anchor{south west}{%
\tapedimensions%
\centerpoint%
\advance\pgf@x-\outerhalfwidth%
\advance\pgf@y-\halfheight%
\pgf@yc\outerysep%
\ifx\topbendstyle\pgf@lib@sh@outandintext%
\advance\pgf@y-\halfbendheight%
\advance\pgf@y-\cothalfanglein\pgf@yc%
\else%
\ifx\topbendstyle\pgf@lib@sh@inandouttext%
\advance\pgf@y-\halfbendheight%
\advance\pgf@y-\cothalfangleout\pgf@yc%
\else%
\advance\pgf@y-\pgf@yc%
\fi%
\fi%
}%
\backgroundpath{%
\tapedimensions%
%
\pgf@xc\halfwidth%
\pgf@yc\halfheight%
%
\pgf@xc\bendxradius%
\pgf@yc\bendyradius%
{%
\pgftransformshift{\centerpoint}%
\pgfpathmoveto{\pgfqpoint{-\halfwidth}{0pt}}%
\pgfpathlineto{\pgfqpoint{-\halfwidth}{\halfheight}}%
\ifx\topbendstyle\pgf@lib@sh@inandouttext%
\pgfpathlineto{\pgf@x-\halfwidth\pgf@y\halfheight\advance\pgf@y\halfbendheight}%
\pgfpatharc{225}{315}{\bendxradius and \bendyradius}%
\pgfpatharc{135}{45}{\bendxradius and \bendyradius}%
\else%
\ifx\topbendstyle\pgf@lib@sh@outandintext%
\pgfpathlineto{\pgf@x-\halfwidth\pgf@y\halfheight\advance\pgf@y\halfbendheight}%
\pgfpatharc{135}{45}{\bendxradius and \bendyradius}%
\pgfpatharc{225}{315}{\bendxradius and \bendyradius}%
\else%
\pgfpathlineto{\pgfqpoint{\halfwidth}{\halfheight}}%
\fi%
\fi%
\pgfpathlineto{\pgfqpoint{\halfwidth}{-\halfheight}}%
\ifx\bottombendstyle\pgf@lib@sh@inandouttext%
\pgfpathlineto{\pgf@x\halfwidth\pgf@y-\halfheight\advance\pgf@y-\halfbendheight}%
\pgfpatharc{45}{135}{\bendxradius and \bendyradius}%
\pgfpatharc{315}{225}{\bendxradius and \bendyradius}%
\else%
\ifx\bottombendstyle\pgf@lib@sh@outandintext%
\pgfpathlineto{\pgf@x\halfwidth\pgf@y-\halfheight\advance\pgf@y-\halfbendheight}%
\pgfpatharc{315}{225}{\bendxradius and \bendyradius}%
\pgfpatharc{45}{135}{\bendxradius and \bendyradius}%
\else%
\pgfpathlineto{\pgfqpoint{-\halfwidth}{-\halfheight}}%
\fi%
\fi%
\pgfpathclose%
}%
}%
\anchorborder{%
\pgf@xa\pgf@x%
\pgf@ya\pgf@y%
\pgfextract@process\externalpoint{%
\centerpoint%
\advance\pgf@x\pgf@xa%
\advance\pgf@y\pgf@ya%
}%
\pgfmathanglebetweenpoints{\centerpoint}{\externalpoint}%
\let\externalangle\pgfmathresult%
\tapedimensions%
%
\pgfmathanglebetweenpoints{\centerpoint}{\csname pgf@anchor@tape@north west\endcsname}%
\ifdim\externalangle pt<\pgfmathresult pt%
\ifdim\externalangle pt<90pt%
\pgfmathanglebetweenpoints{\centerpoint}{\csname pgf@anchor@tape@north east\endcsname}%
\ifdim\externalangle pt<\pgfmathresult pt%
\pgfpointintersectionoflines{\externalpoint}{\centerpoint}%
{\csname pgf@anchor@tape@north east\endcsname}%
{\csname pgf@anchor@tape@south east\endcsname}%
\else%
% Between north and north east.
\ifx\topbendstyle\pgf@lib@sh@inandouttext%
% in and out.
\pgfmathpointintersectionoflineandarc{\externalpoint}{\centerpoint}%
{%
\centerpoint%
\pgf@xc\halfwidth%
\advance\pgf@x.5\pgf@xc%
\advance\pgf@y\halfheight%
\advance\pgf@y\halfbendheight%
\pgf@yc\bendyradius%
\advance\pgf@y-.707106\pgf@yc%
}%
{5}{175}{\outerbendxradius and \outerbendyradius}%
\else%
\ifx\topbendstyle\pgf@lib@sh@outandintext%
% out and in.
\pgfmathpointintersectionoflineandarc{\centerpoint}{\externalpoint}%
{%
\centerpoint%
\pgf@xc\halfwidth%
\advance\pgf@x.5\pgf@xc%
\advance\pgf@y\halfheight%
\advance\pgf@y\halfbendheight%
\pgf@yc\bendyradius%
\advance\pgf@y.707106\pgf@yc%
}%
{185}{355}{\innerbendxradius and \innerbendyradius}%
\else%
\pgfpointintersectionoflines{\externalpoint}{\centerpoint}%
{\csname pgf@anchor@tape@north east\endcsname}%
{\csname pgf@anchor@tape@north west\endcsname}%
\fi%
\fi%
\fi%
\else%
% Between north and north west.
\ifx\topbendstyle\pgf@lib@sh@inandouttext%
% in and out.
\pgfmathpointintersectionoflineandarc{\centerpoint}{\externalpoint}%
{%
\centerpoint%
\pgf@xc\halfwidth%
\advance\pgf@x-.5\pgf@xc%
\advance\pgf@y\halfheight%
\advance\pgf@y\halfbendheight%
\pgf@yc\bendyradius%
\advance\pgf@y.707106\pgf@yc%
}%
{185}{355}{\innerbendxradius and \innerbendyradius}%
\else%
\ifx\topbendstyle\pgf@lib@sh@outandintext%
% out and in.
\pgfmathpointintersectionoflineandarc{\externalpoint}{\centerpoint}%
{%
\centerpoint%
\pgf@xc\halfwidth%
\advance\pgf@x-.5\pgf@xc%
\advance\pgf@y\halfheight%
\advance\pgf@y\halfbendheight%
\pgf@yc\bendyradius%
\advance\pgf@y-.707106\pgf@yc%
}%
{5}{175}{\outerbendxradius and \outerbendyradius}%
\else%
\pgfpointintersectionoflines{\externalpoint}{\centerpoint}%
{\csname pgf@anchor@tape@north east\endcsname}%
{\csname pgf@anchor@tape@north west\endcsname}%
\fi%
\fi%
\fi%
\else%
\pgfmathanglebetweenpoints{\centerpoint}{\csname pgf@anchor@tape@south west\endcsname}%
\ifdim\externalangle pt>\pgfmathresult pt%
\ifdim\externalangle pt>270pt%
\pgfmathanglebetweenpoints{\centerpoint}{\csname pgf@anchor@tape@south east\endcsname}%
\ifdim\externalangle pt>\pgfmathresult pt%
\pgfpointintersectionoflines{\externalpoint}{\centerpoint}%
{\csname pgf@anchor@tape@north east\endcsname}%
{\csname pgf@anchor@tape@south east\endcsname}%
\else%
% Between south and south east.
\ifx\bottombendstyle\pgf@lib@sh@inandouttext%
% in and out.
\pgfmathpointintersectionoflineandarc{\centerpoint}{\externalpoint}%
{%
\centerpoint%
\pgf@xc\halfwidth%
\advance\pgf@x.5\pgf@xc%
\advance\pgf@y-\halfheight%
\advance\pgf@y-\halfbendheight%
\pgf@yc\bendyradius%
\advance\pgf@y-.707106\pgf@yc%
}%
{5}{175}{\innerbendxradius and \innerbendyradius}%
\else%
\ifx\bottombendstyle\pgf@lib@sh@outandintext%
% out and in.
\pgfmathpointintersectionoflineandarc{\externalpoint}{\centerpoint}%
{%
\centerpoint%
\pgf@xc\halfwidth%
\advance\pgf@x.5\pgf@xc%
\advance\pgf@y-\halfheight%
\advance\pgf@y-\halfbendheight%
\pgf@yc\bendyradius%
\advance\pgf@y.707106\pgf@yc%
}%
{185}{355}{\outerbendxradius and \outerbendyradius}%
\else%
\pgfpointintersectionoflines{\externalpoint}{\centerpoint}%
{\csname pgf@anchor@tape@south east\endcsname}%
{\csname pgf@anchor@tape@south west\endcsname}%
\fi%
\fi%
\fi%
\else%
% Between south and south west.
\ifx\bottombendstyle\pgf@lib@sh@inandouttext%
% in and out.
\pgfmathpointintersectionoflineandarc{\externalpoint}{\centerpoint}%
{%
\centerpoint%
\pgf@xc\halfwidth%
\advance\pgf@x-.5\pgf@xc%
\advance\pgf@y-\halfheight%
\advance\pgf@y-\halfbendheight%
\pgf@yc\bendyradius%
\advance\pgf@y.707106\pgf@yc%
}%
{185}{355}{\outerbendxradius and \outerbendyradius}%
\else%
\ifx\bottombendstyle\pgf@lib@sh@outandintext%
% out and in.
\pgfmathpointintersectionoflineandarc{\centerpoint}{\externalpoint}%
{%
\centerpoint%
\pgf@xc\halfwidth%
\advance\pgf@x-.5\pgf@xc%
\advance\pgf@y-\halfheight%
\advance\pgf@y-\halfbendheight%
\pgf@yc\bendyradius%
\advance\pgf@y-.707106\pgf@yc%
}%
{5}{175}{\innerbendxradius and \innerbendyradius}%
\else%
\pgfpointintersectionoflines{\externalpoint}{\centerpoint}%
{\csname pgf@anchor@tape@south east\endcsname}%
{\csname pgf@anchor@tape@south west\endcsname}%
\fi%
\fi%
\fi%
\else%
\pgfpointintersectionoflines{\externalpoint}{\centerpoint}%
{\csname pgf@anchor@tape@north west\endcsname}%
{\csname pgf@anchor@tape@south west\endcsname}%
\fi%
\fi%
}%
}%
% Keys for magnifying glass shape
%
% /pgf/magnifying glass handle angle : The angle of handle
% /pgf/magnifying glass handle aspect : The length of the handle as a multiple
% of the radius of the circle
%
\pgfkeys{/pgf/.cd,
magnifying glass handle angle/.initial=-45,
magnifying glass handle aspect/.initial=1.5,
}%
\pgfdeclareshape{magnifying glass}
{%
\inheritsavedanchors[from=circle]% this is nearly a circle
\inheritanchorborder[from=circle]%
\inheritanchor[from=circle]{north}%
\inheritanchor[from=circle]{north west}%
\inheritanchor[from=circle]{north east}%
\inheritanchor[from=circle]{center}%
\inheritanchor[from=circle]{west}%
\inheritanchor[from=circle]{east}%
\inheritanchor[from=circle]{mid}%
\inheritanchor[from=circle]{mid west}%
\inheritanchor[from=circle]{mid east}%
\inheritanchor[from=circle]{base}%
\inheritanchor[from=circle]{base west}%
\inheritanchor[from=circle]{base east}%
\inheritanchor[from=circle]{south}%
\inheritanchor[from=circle]{south west}%
\inheritanchor[from=circle]{south east}%
\inheritbackgroundpath[from=circle]%
\foregroundpath{
\centerpoint%
\pgf@xc=\pgf@x%
\pgf@yc=\pgf@y%
\pgfutil@tempdima=\radius%
\pgfmathsetlength{\pgf@xb}{\pgfkeysvalueof{/pgf/outer xsep}}%
\pgfmathsetlength{\pgf@yb}{\pgfkeysvalueof{/pgf/outer ysep}}%
\ifdim\pgf@xb<\pgf@yb%
\advance\pgfutil@tempdima by-\pgf@yb%
\else%
\advance\pgfutil@tempdima by-\pgf@xb%
\fi%
\pgfpathmoveto{\pgfpointadd{\pgfqpoint{\pgf@xc}{\pgf@yc}}
{\pgfpointpolar{\pgfkeysvalueof{/pgf/magnifying glass handle angle}}{\pgfutil@tempdima}}}
\pgfpathlineto{\pgfpointadd{\pgfqpoint{\pgf@xc}{\pgf@yc}}
{\pgfpointpolar{\pgfkeysvalueof{/pgf/magnifying glass handle angle}}{\pgfutil@tempdima+\pgfutil@tempdima*(\pgfkeysvalueof{/pgf/magnifying glass handle aspect})}}}
\pgfsetarrowsstart{}
\pgfsetarrowsend{}
}%
}%
\pgfkeys{%
/pgf/magnetic tape tail/.initial=0.15,
/pgf/magnetic tape tail extend/.initial=0cm,
}%
\pgfdeclareshape{magnetic tape}{%
\nodeparts{text}%
\savedmacro\installparameters{%
%
\pgf@x=0.5\wd\pgfnodeparttextbox%
\pgf@y=0.5\ht\pgfnodeparttextbox%
\advance\pgf@y by-0.5\dp\pgfnodeparttextbox%
\edef\centerpoint{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
%
\pgf@x=\wd\pgfnodeparttextbox%
\pgf@y=\ht\pgfnodeparttextbox%
\advance\pgf@y by\dp\pgfnodeparttextbox%
\pgfmathsetlength\pgf@xa{\pgfkeysvalueof{/pgf/inner xsep}}%
\pgfmathsetlength\pgf@ya{\pgfkeysvalueof{/pgf/inner ysep}}%
\advance\pgf@x by2.0\pgf@xa%
\advance\pgf@y by2.0\pgf@ya%
\ifdim\pgf@y>\pgf@x%
\pgf@x=\pgf@y%
\fi%
\pgf@x=1.414213\pgf@x%
\pgfmathsetlength\pgf@xa{\pgfkeysvalueof{/pgf/minimum width}}%
\pgfmathsetlength\pgf@ya{\pgfkeysvalueof{/pgf/minimum height}}%
\ifdim\pgf@x<\pgf@xa%
\pgf@x=\pgf@xa%
\fi%
\ifdim\pgf@x<\pgf@ya%
\pgf@x=\pgf@ya%
\fi%
\pgf@x=0.5\pgf@x%
\edef\radius{\the\pgf@x}%
%
\pgfmathparse{max(\pgfkeysvalueof{/pgf/magnetic tape tail extend},0)}%
\edef\tailextend{\pgfmathresult pt}%
%
\pgfmathparse{min(max(\pgfkeysvalueof{/pgf/magnetic tape tail},0),1)}%
\pgf@xa=\pgfmathresult\pgf@x%
\edef\tailheight{\the\pgf@xa}%
%
\pgfmathsetlength\pgf@xa{\pgfkeysvalueof{/pgf/outer xsep}}%
\pgfmathsetlength\pgf@ya{\pgfkeysvalueof{/pgf/outer ysep}}%
\ifdim\pgf@xa<\pgf@ya%
\pgf@xa=\pgf@ya%
\fi%
\edef\outersep{\the\pgf@xa}%
%
\pgfmathparse{\outersep+\radius}%
\edef\outerradius{\pgfmathresult pt}%
%
\pgfmathparse{(\radius-\tailheight)/\radius}%
\pgfmathasin@{\pgfmathresult}%
\pgfmathadd@{-\pgfmathresult}{360}%
\let\tailangle=\pgfmathresult%
%
\pgfmathparse{\outerradius/(\outerradius+\tailextend)}%
\pgfmathatan@{\pgfmathresult}%
\pgfmathadd@{-\pgfmathresult}{360}%
\let\tailbottomangle=\pgfmathresult%
%
\pgfmathparse{(\outerradius-\outersep-\tailheight-\outersep)/(\outerradius+\tailextend)}%
\pgfmathatan@{\pgfmathresult}%
\pgfmathadd@{-\pgfmathresult}{360}%
\let\tailtopangle=\pgfmathresult%
%
\addtosavedmacro\radius%
\addtosavedmacro\outerradius%
\addtosavedmacro\outersep%
\addtosavedmacro\tailheight%
\addtosavedmacro\tailextend
\addtosavedmacro\tailangle%
\addtosavedmacro\tailtopangle%
\addtosavedmacro\tailbottomangle%
\addtosavedmacro\centerpoint%
}%
\savedanchor{\base}{\pgfqpoint{0.5\wd\pgfnodeparttextbox}{0pt}}%
\savedanchor{\mid}{\pgfqpoint{0.5\wd\pgfnodeparttextbox}{0pt}\pgfmathsetlength\pgf@y{.5ex}}%
\anchor{center}{\installparameters\centerpoint}% \addtosavedmacro\outerradius%
\anchor{base}{\base}%
\anchor{mid}{\mid}%
\anchor{base west}{\installparameters\pgfpointadd{\base}{\pgfqpoint{-\outerradius}{0pt}}}%
\anchor{base east}{\installparameters\pgfpointadd{\base}{\pgfqpoint{\outerradius}{0pt}}}%
\anchor{mid west}{\installparameters\pgfpointadd{\mid}{\pgfqpoint{-\outerradius}{0pt}}}%
\anchor{mid east}{\installparameters\pgfpointadd{\mid}{\pgfqpoint{\outerradius}{0pt}}}%
\anchor{north}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfqpoint{0pt}{\outerradius}}}%
\anchor{north east}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfqpointpolar{45}{\outerradius}}}%
\anchor{south}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfqpoint{0pt}{-\outerradius}}}%
\anchor{south east}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfqpoint{\outerradius}{-\outerradius}}}%
\anchor{east}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfqpoint{\outerradius}{0pt}}}%
\anchor{south west}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfqpointpolar{225}{\outerradius}}}%
\anchor{west}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfqpoint{-\outerradius}{0pt}}}%
\anchor{north west}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfqpointpolar{135}{\outerradius}}}%
\anchor{tail east}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfpoint{\radius+\tailextend+\outersep}{-\outerradius+\outersep+\tailheight/2}}}%
\anchor{tail south east}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfpoint{\radius+\tailextend+\outersep}{-\outerradius}}}%
\anchor{tail north east}{\installparameters%
\pgfpointadd{\centerpoint}{\pgfpoint{\radius+\tailextend+\outersep}{-\outerradius+\outersep+\tailheight+\outersep}}}%
\backgroundpath{
%
\installparameters%
{%
\pgftransformshift{\centerpoint}%
\pgfpathmoveto{\pgfpointpolar{\tailangle}{\radius}}%
\pgfpatharc{\tailangle}{360}{\radius}%
\pgfpatharc{0}{270}{\radius}%
\pgfpathlineto{\pgfpoint{\radius+\tailextend}{-\radius}}%
\pgfpathlineto{\pgfpoint{\radius+\tailextend}{-\radius+\tailheight}}%
\pgfpathclose%
}%
}%
\anchorborder{%
\pgfextract@process\externalpoint{}%
\installparameters%
\pgfmathanglebetweenpoints{\pgfpointorigin}{\externalpoint}
\ifdim\pgfmathresult pt<270pt\relax%
\pgfpointadd{\centerpoint}{%
\pgfpointborderellipse%
{\externalpoint}%
{\pgfqpoint{\outerradius}{\outerradius}}%
}%
\else%
\ifdim\pgfmathresult pt<\tailbottomangle pt\relax%
\pgfpointadd{\centerpoint}{%
\pgfpointintersectionoflines%
{\externalpoint}{\pgfpointorigin}%
{\pgfqpoint{0pt}{-\outerradius}}{\pgfqpoint{\outerradius}{-\outerradius}}%
}%
\else%
\ifdim\pgfmathresult pt<\tailtopangle pt\relax%
\pgfpointadd{\centerpoint}{%
\pgfpointintersectionoflines%
{\externalpoint}{\pgfpointorigin}%
{\pgfqpoint{\outerradius}{\outerradius}}{\pgfqpoint{\outerradius}{-\outerradius}}%
}%
\else%
\pgfpointadd{\centerpoint}{%
\pgfpointborderellipse%
{\externalpoint}%
{\pgfqpoint{\outerradius}{\outerradius}}%
}%
\fi%
\fi%
\fi%
}%
}%
% Local Variables:
% tab-width: 2
% End: