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565 lines
20 KiB
565 lines
20 KiB
% Copyright 2008 by Till Tantau
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%
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% This file may be distributed and/or modified
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%
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% 1. under the LaTeX Project Public License and/or
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% 2. under the GNU Public License.
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%
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% See the file doc/generic/pgf/licenses/LICENSE for more details.
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\ProvidesFileRCS{tikzlibrarydatavisualization.polar.code.tex}
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\usetikzlibrary{datavisualization}%
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\usepgflibrary{datavisualization.polar}%
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\tikzdatavisualizationset{%
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new polar axes/.style 2 args={
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new axis base=#1,
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#1={attribute=angle},
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new axis base=#2,
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#2={attribute=radius},
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#2/scaling/default=0 at 0 and 1 at 1cm,
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new object={
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store=/tikz/data visualization/#1/polar transformer,
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class=polar transformer,
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arg1/.expanded=\pgfkeysvalueof{/tikz/data visualization/angle axis/attribute}/scaled,
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arg2/.expanded=\pgfkeysvalueof{/tikz/data visualization/radius axis/attribute}/scaled,
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arg3 from key=/tikz/data visualization/#1/unit vector 0 degrees,
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arg4 from key=/tikz/data visualization/#1/unit vector 90 degrees
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},
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/tikz/data visualization/#1/unit vector 0 degrees/.initial=\pgfqpoint{1pt}{0pt},
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/tikz/data visualization/#1/unit vector 90 degrees/.initial=\pgfqpoint{0pt}{1pt},
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},
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new polar axes/.default={angle axis}{radius axis}
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}%
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\def\tikz@lib@dv@polar@a#1{
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\pgfkeyssetvalue{\tikz@dv@axis/unit vector 0 degrees}{#1}
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}%
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\def\tikz@lib@dv@polar@b#1{
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\pgfkeyssetvalue{\tikz@dv@axis/unit vector 90 degrees}{#1}
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}%
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%
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% Scientific polar axes
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%
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\tikzset{
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/tikz/data visualization/axis options/.cd,
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unit vectors/.code 2 args={
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\tikz@scan@one@point\tikz@lib@dv@polar@a#1
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\tikz@scan@one@point\tikz@lib@dv@polar@b#2
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},
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degrees/.style={\tikz@dv@axis/scaling=0 at 0 and 1 at 1},
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radians/.style={\tikz@dv@axis/scaling=0 at 0 and 0.03141592653589793 at 1.8},
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}%
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\tikzdatavisualizationset{
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new axis system={scientific polar axes}{%
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new polar axes,
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angle axis={attribute=angle},
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radius axis={attribute=radius},
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every axis/.append style={style={draw=black!50}},
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every ticks/.append style={style={draw=black!50}},
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}{%
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0 to 360,%
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outer ticks,
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}{%
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@make axes,
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scientific polar axes/@setup axes,
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/utils/exec={
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\edef\pgf@marshal{\noexpand\tikzdatavisualizationset{\pgfkeysvalueof{/tikz/data visualization/@which visualize radius axis}/.list={\pgfkeysvalueof{/tikz/data visualization/\pgfkeysvalueof{/tikz/data visualization/@which radius axes at}}}}}
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\pgf@marshal
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},
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@make labels
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},
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@which radius axes at/.initial=@inner radius axes at,
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@which visualize radius axis/.initial=@visualize radius axis,
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@inner radius axes at/.initial=,
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@clean radius axes at/.initial=,
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@visualize radius axis/.style 2 args={
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radius axis={
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visualize axis={angle axis={goto=#1},high=padded max,low=0},
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visualize ticks={
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common={angle axis={goto=#1}, direction axis=angle axis},
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major={tick text at #2,
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options at=0 as [{style={draw=none},no tick text}]
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}
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}
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}
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},
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@visualize clean radius axis/.style n args={5}{
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radius axis={
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visualize axis={angle
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axis={goto=#1},high=max,low=0,style={black!25,line cap=rect}},
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visualize axis={angle
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axis={goto=#1},high=max,low=0,style={line cap=rect,#4}},
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visualize ticks={
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style={#4},
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common={angle axis={goto=#1}, direction axis=angle axis, #3=0},
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major={tick text at #2,#5}
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}
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}
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},
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@visualize zero/.style={@inner visualize zero={#1}},
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@clean visualize zero/.style={},
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@inner visualize zero/.style={
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radius axis={
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visualize ticks={
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common={angle axis={goto=0}, direction axis=angle axis},
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major={tick text at low,low=0,high=0,at=0 as
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[{style={draw=none},node style={anchor=#1}}]
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}
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}
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}
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},
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@degrees/.style={
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angle axis={degrees, ticks={step=15, tick suffix=$^\circ$, major={
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options at=360 as [{style={draw=none},no tick text}],
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options at=-180 as [{style={draw=none},no tick text}]}}}
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},
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@rad/.style={
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angle axis={radians, ticks={
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step=(pi/12),
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node style={
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/pgf/number format/frac,
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/pgf/number format/frac shift={1}
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},
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tick typesetter/.code={%
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\pgfmathsetmacro{\tikz@lib@dv@pol}{round(####1*3.819718634205488)/12}%
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\pgfmathapproxequalto{\tikz@lib@dv@pol}{0}%
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\ifdim\pgfmathresult pt=1.0pt%
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$0$%
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\else%
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\pgfmathapproxequalto{\tikz@lib@dv@pol}{1}%
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\ifdim\pgfmathresult pt=1.0pt%
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$\pi$%
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\else
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\pgfmathapproxequalto{\tikz@lib@dv@pol}{-1}%
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\ifdim\pgfmathresult pt=1.0pt%
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$-\pi$%
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\else%
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\pgfmathprintnumber{\tikz@lib@dv@pol}$\pi$%
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\fi%
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\fi%
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\fi%
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},
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major={
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options at=6.2831985e0 as [{style={draw=none},no tick text}],
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options at=6.2831192e0 as [{style={draw=none},no tick text}],
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options at=6.2830794e0 as [{style={draw=none},no tick text}],
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options at=6.2828787e0 as [{style={draw=none},no tick text}],
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options at=6.2831598e0 as [{style={draw=none},no tick text}],
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options at=-3.1415991e0 as [{style={draw=none},no tick text}],
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options at=-3.1415802e0 as [{style={draw=none},no tick text}],
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options at=-3.1415602e0 as [{style={draw=none},no tick text}],
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options at=-3.14153961e0 as [{style={draw=none},no tick text}],
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options at=-3.1414406e0 as [{style={draw=none},no tick text}],
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}
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}
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}
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},
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@make labels/.style={},
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}%
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\tikzdatavisualizationset{
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scientific polar axes/.cd,
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%
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%
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%
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outer ticks/.style={
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/tikz/data visualization/@make axes/.style={
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radius axis={
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min value=0,
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length=\pgfkeysvalueof{/tikz/data visualization/scientific polar axes/radius},
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padding=0em,
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ticks={few},
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visualize grid={common={direction axis=angle axis,low=min,high=max}},
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},
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angle axis={
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visualize axis={radius axis={goto=padded max},low=min,high=max},
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visualize ticks={common={radius axis={goto=padded max},direction
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axis=radius axis},common={low=0},major={tick text at high}},
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visualize grid={common={direction axis=radius axis},low=0,high=padded max},
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}
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},
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/tikz/data visualization/@which radius axes at=@inner radius axes at,
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/tikz/data visualization/@which visualize radius axis=@visualize radius axis,
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/tikz/data visualization/@visualize zero/.style={@inner visualize zero={##1}},
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},
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inner ticks/.style={
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/tikz/data visualization/@make axes/.style={
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radius axis={
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min value=0,
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length=\pgfkeysvalueof{/tikz/data visualization/scientific polar axes/radius},
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padding=0em,
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ticks={few},
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visualize grid={common={direction axis=angle axis,low=min,high=max}},
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},
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angle axis={
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visualize axis={radius axis={goto=padded max},low=min,high=max},
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visualize ticks={common={radius axis={goto=padded max},direction
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axis=radius axis},common={high=0},major={tick text at high}},
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visualize grid={common={direction axis=radius axis},low=0,high=padded max},
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}
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},
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/tikz/data visualization/@which radius axes at=@inner radius axes at,
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/tikz/data visualization/@which visualize radius axis=@visualize radius axis,
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/tikz/data visualization/@visualize zero/.style={@inner visualize zero={##1}},
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},
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clean/.style={
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/tikz/data visualization/@make axes/.style={
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radius axis={
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min value=0,
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length=\pgfkeysvalueof{/tikz/data visualization/scientific polar axes/radius},
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padding=.5em,
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ticks={few},
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visualize grid={common={direction axis=angle axis,low=min,high=max}},
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},
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angle axis={
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padding=.5em,
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visualize axis={radius axis={goto=max}, style={black!25, line cap=rect},low=min,high=max},
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visualize axis={radius axis={goto=padded max}, style={line cap=rect}, low=min,high=max},
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visualize ticks={common={radius axis={goto=padded max}, direction axis=radius axis},common={low=0},major={tick text at high}},
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visualize grid={common={direction axis=radius axis},low=0,high=max},
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}
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},
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/tikz/data visualization/@which radius axes at=@clean radius axes at,
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/tikz/data visualization/@which visualize radius axis=@visualize clean radius axis,
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/tikz/data visualization/@visualize zero/.style={@clean visualize zero={##1}},
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},
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radius/.initial=3.25cm,
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%
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% First quadrant
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%
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0 to pi half/.style={
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@setup axes/.style={
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angle axis={min value=0, max value=1.570796326794897},
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@rad,
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@visualize zero=north east,
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@inner radius axes at={{0}{low},{1.570796326794897}{high}},
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@clean radius axes at={%
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{0}{low}{high}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{1.570796326794897}{high}{low}{xshift=-\pgfkeysvalueof{/tikz/data visualization/angle axis/padding max}}{}
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}
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}
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},
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0 to 90/.style={
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@setup axes/.style={
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angle axis={min value=0, max value=90},
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@degrees,
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@visualize zero=north east,
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@inner radius axes at={{0}{low},{90}{high}},
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@clean radius axes at={%
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{0}{low}{high}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{90}{high}{low}{xshift=-\pgfkeysvalueof{/tikz/data visualization/angle axis/padding max}}{}
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}
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}
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},
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quadrant/.style={
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@setup axes/.style={
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angle axis={scaling=min at 0 and max at 90, ticks},
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@visualize zero=north east,
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@inner radius axes at={{min}{low},{max}{high}},
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@clean radius axes at={%
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{min}{low}{high}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{max}{high}{low}{xshift=-\pgfkeysvalueof{/tikz/data visualization/angle axis/padding max}}{}
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}
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}
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},
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quadrant clockwise/.style={
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@setup axes/.style={
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angle axis={scaling=min at 90 and max at 0, ticks},
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@visualize zero=north east,
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@inner radius axes at={{min}{low},{max}{high}},
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@clean radius axes at={%
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{max}{high}{low}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{min}{low}{high}{xshift=-\pgfkeysvalueof{/tikz/data visualization/angle axis/padding max}}{}
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}
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}
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},
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%
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% Fourth quadrant
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%
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-pi half to 0/.style={
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@setup axes/.style={
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angle axis={min value=-1.570796326794897, max value=0},
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@rad,
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@visualize zero=south east,
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@inner radius axes at={{-1.570796326794897}{low},{0}{high}},
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@clean radius axes at={%
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{-1.570796326794897}{low}{high}{xshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{0}{high}{low}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding max}}{}
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}
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}
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},
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-90 to 0/.style={
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@setup axes/.style={
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angle axis={min value=-90, max value=0},
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@degrees,
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@visualize zero=south east,
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@inner radius axes at={{-90}{low},{0}{high}},
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@clean radius axes at={%
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{-90}{low}{high}{xshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{0}{high}{low}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding max}}{}
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}
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}
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},
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fourth quadrant/.style={
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@setup axes/.style={
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angle axis={scaling=min at -90 and max at 0, ticks},
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@visualize zero=south east,
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@inner radius axes at={{min}{low},{max}{high}},
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@clean radius axes at={%
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{min}{low}{high}{xshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{max}{high}{low}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding max}}{}
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}
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}
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},
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fourth quadrant clockwise/.style={
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@setup axes/.style={
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angle axis={scaling=min at 0 and max at -90, ticks},
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@visualize zero=south east,
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@inner radius axes at={{min}{low},{max}{high}},
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@clean radius axes at={%
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{max}{high}{low}{xshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{min}{low}{high}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding max}}{}
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}
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}
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},
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%
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% Upper half
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%
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0 to pi/.style={
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@setup axes/.style={
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angle axis={min value=0, max value=3.141592653589793},
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@rad,
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@visualize zero=north,
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@inner radius axes at={{0}{low},{1.570796326794897}{high},{3.141592653589793}{high}},
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@clean radius axes at={%
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{0}{low}{high}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{3.141592653589793}{high}{low}{yshift=-\pgfkeysvalueof{/tikz/data
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visualization/angle axis/padding max}}{options at=0 as
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[{style={draw=none}, no tick text}]}
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}
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}
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},
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0 to 180/.style={
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@setup axes/.style={
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angle axis={min value=0, max value=180},
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@degrees,
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@visualize zero=north,
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@inner radius axes at={{0}{low},{90}{high},{180}{high}},
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@clean radius axes at={%
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{0}{low}{high}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{180}{high}{low}{yshift=-\pgfkeysvalueof{/tikz/data
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visualization/angle axis/padding max}}{options at=0 as
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[{style={draw=none}, no tick text}]}
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}
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}
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},
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upper half/.style={
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@setup axes/.style={
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angle axis={scaling=min at 0 and max at 180, ticks},
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@visualize zero=north,
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@inner radius axes at={{min}{low},{max}{high}},
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@clean radius axes at={%
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{min}{low}{high}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{max}{high}{low}{yshift=-\pgfkeysvalueof{/tikz/data
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visualization/angle axis/padding max}}{options at=0 as
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[{style={draw=none}, no tick text}]}
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}
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}
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},
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upper half clockwise/.style={
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@setup axes/.style={
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angle axis={scaling=min at 180 and max at 0, ticks},
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@visualize zero=north,
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@inner radius axes at={{min}{low},{max}{high}},
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@clean radius axes at={%
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{min}{low}{high}{yshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{max}{high}{low}{yshift=-\pgfkeysvalueof{/tikz/data
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visualization/angle axis/padding max}}{options at=0 as
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[{style={draw=none}, no tick text}]}
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}
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}
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},
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%
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% Lower half
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%
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lower half/.style={
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@setup axes/.style={
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angle axis={scaling=min at -180 and max at 0, ticks},
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@visualize zero=south,
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@inner radius axes at={{min}{low},{max}{high}},
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@clean radius axes at={%
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{min}{low}{high}{yshift=-\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{max}{high}{low}{yshift=\pgfkeysvalueof{/tikz/data
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visualization/angle axis/padding max}}{options at=0 as
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[{style={draw=none}, no tick text}]}
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}
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}
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},
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lower half clockwise/.style={
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@setup axes/.style={
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angle axis={scaling=min at 0 and max at -180, ticks},
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@visualize zero=south,
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@inner radius axes at={{min}{low},{max}{high}},
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@clean radius axes at={%
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{min}{low}{high}{yshift=-\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{max}{high}{low}{yshift=\pgfkeysvalueof{/tikz/data
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visualization/angle axis/padding max}}{options at=0 as
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[{style={draw=none}, no tick text}]}
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}
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}
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},
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%
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% Right half
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%
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-pi half to pi half/.style={
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@setup axes/.style={
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@rad,
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angle axis={min value=-1.570796326794897, max value=1.570796326794897},
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@visualize zero=east,
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@inner radius axes at={{0}{low},{1.570796326794897}{low},{-1.570796326794897}{high}},
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@clean radius axes at={%
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{-1.570796326794897}{low}{high}{xshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{1.570796326794897}{high}{low}{xshift=-\pgfkeysvalueof{/tikz/data
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visualization/angle axis/padding max}}{options at=0 as
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[{style={draw=none}, no tick text}]}
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}
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}
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},
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-90 to 90/.style={
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@setup axes/.style={
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angle axis={min value=-90, max value=90},
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@degrees,
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@visualize zero=east,
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@inner radius axes at={{-90}{low},{0}{low},{90}{high}},
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@clean radius axes at={%
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{-90}{low}{high}{xshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
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{90}{high}{low}{xshift=-\pgfkeysvalueof{/tikz/data
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visualization/angle axis/padding max}}{options at=0 as
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[{style={draw=none}, no tick text}]}
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}
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}
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},
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right half/.style={
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@setup axes/.style={
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angle axis={scaling=min at -90 and max at 90, ticks},
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@visualize zero=east,
|
|
@inner radius axes at={{min}{low},{max}{high}},
|
|
@clean radius axes at={%
|
|
{min}{low}{high}{xshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
|
|
{max}{high}{low}{xshift=-\pgfkeysvalueof{/tikz/data
|
|
visualization/angle axis/padding max}}{options at=0 as
|
|
[{style={draw=none}, no tick text}]}
|
|
}
|
|
}
|
|
},
|
|
right half clockwise/.style={
|
|
@setup axes/.style={
|
|
angle axis={scaling=min at 90 and max at -90, ticks},
|
|
@visualize zero=east,
|
|
@inner radius axes at={{min}{low},{max}{high}},
|
|
@clean radius axes at={%
|
|
{min}{low}{high}{xshift=\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
|
|
{max}{high}{low}{xshift=-\pgfkeysvalueof{/tikz/data
|
|
visualization/angle axis/padding max}}{options at=0 as
|
|
[{style={draw=none}, no tick text}]}
|
|
}
|
|
}
|
|
},
|
|
%
|
|
% Left half
|
|
%
|
|
left half/.style={
|
|
@setup axes/.style={
|
|
angle axis={scaling=min at 90 and max at 270, ticks},
|
|
@visualize zero=west,
|
|
@inner radius axes at={{min}{low},{max}{high}},
|
|
@clean radius axes at={%
|
|
{min}{low}{high}{xshift=-\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
|
|
{max}{high}{low}{xshift=\pgfkeysvalueof{/tikz/data
|
|
visualization/angle axis/padding max}}{options at=0 as
|
|
[{style={draw=none}, no tick text}]}
|
|
}
|
|
}
|
|
},
|
|
left half clockwise/.style={
|
|
@setup axes/.style={
|
|
angle axis={scaling=min at 270 and max at 90, ticks},
|
|
@visualize zero=west,
|
|
@inner radius axes at={{min}{low},{max}{high}},
|
|
@clean radius axes at={%
|
|
{min}{low}{high}{xshift=-\pgfkeysvalueof{/tikz/data visualization/angle axis/padding min}}{},%
|
|
{max}{high}{low}{xshift=\pgfkeysvalueof{/tikz/data
|
|
visualization/angle axis/padding max}}{options at=0 as
|
|
[{style={draw=none}, no tick text}]}
|
|
}
|
|
}
|
|
},
|
|
%
|
|
% Full circle
|
|
%
|
|
0 to 2pi/.style={
|
|
@setup axes/.style={
|
|
angle axis={min value=0, max value=6.283185307179586},
|
|
@rad,
|
|
@visualize zero=north east,
|
|
@inner radius axes at={{0}{low},{1.570796326794897}{high},{3.141592653589793}{high},{4.71238898038469}{low}},
|
|
@clean radius axes at={{0}{low}{high}{}{}}
|
|
}
|
|
},
|
|
-pi to pi/.style={
|
|
@setup axes/.style={
|
|
angle axis={min value=-3.141592653589793, max value=3.141592653589793},
|
|
@rad,
|
|
@visualize zero=north east,
|
|
@inner radius axes at={{0}{low},{1.570796326794897}{high},{3.141592653589793}{high},{-1.57079632679489}{low}},
|
|
@clean radius axes at={{0}{low}{high}{}{}}
|
|
}
|
|
},
|
|
0 to 360/.style={
|
|
@setup axes/.style={
|
|
angle axis={min value=0, max value=360},
|
|
@degrees,
|
|
@visualize zero=north east,
|
|
@inner radius axes at={{0}{low},{90}{high},{180}{high},{270}{low}},
|
|
@clean radius axes at={{0}{low}{high}{}{}}
|
|
}
|
|
},
|
|
-180 to 180/.style={
|
|
@setup axes/.style={
|
|
angle axis={min value=-180, max value=180},
|
|
@degrees,
|
|
@visualize zero=north east,
|
|
@inner radius axes at={{0}{low},{90}{high},{180}{high},{-90}{low}},
|
|
@clean radius axes at={{0}{low}{high}{}{}}
|
|
}
|
|
},
|
|
}%
|
|
|
|
|
|
|
|
|
|
%
|
|
% Pie-charts -- still under construction...
|
|
%
|
|
|
|
\tikzset{
|
|
/tikz/data visualization/axis options/.cd,
|
|
percent/.style={\tikz@dv@axis/scaling=0 at 0 and 1 at 3.6},
|
|
full circle/.style={\tikz@dv@axis/scaling=min at 0 and max at 360},
|
|
half circle/.style={\tikz@dv@axis/scaling=min at 0 and max at 180},
|
|
quarter circle/.style={\tikz@dv@axis/scaling=min at 0 and max at 90}
|
|
}%
|
|
|
|
|
|
|
|
|
|
\endinput
|
|
|