# Transforming “rel axis cs” to absolute coordinates?

I've got two plots arranged vertically using \matrix. I'd like to draw a vertical line, that spans over both plots with a margin of 1cm at the top and at the bottom. The starting point of the line should be expressed in the "plot coordinates", that is in the axis units. I know that (rel axis cs:1,1) gives me a reference to such a point, but this seams only to work from within the \begin{axis} and \end{axis} block. I tried to define a coordinate: \coordinate (somePoint) at (axis cs:1,1);  but when i call it from outside the axis environment, it gives me the wrong coordinates(namely the same numerical values as from within the axis environment. Is there some way to map those rel axis cs coordinates back to the global absolute coordinate frame of reference?

That's what it looks right now:

\begin{tikzpicture}
\matrix{
\begin{axis}[
width=10cm,
height=2cm,
scale only axis,
xmin=0, xmax=40,
xlabel={},
ymin=0, ymax=3,
ylabel={Due},
title={}]
color=red,
solid
]
coordinates{
(0,0)(0.2,0)(0.4,0)(0.6,0)(0.8,0)(0.999999999999993,0)(1,0)(1.00000000000001,2.01683462742295e-28)(1.14649554253811,0.0213589663789572)(1.29299108507621,0.0846022573641427)(1.43948662761431,0.187268256107688)(1.58598217015241,0.32528040626792)(1.72771701757709,0.487486503111306)(1.86945186500177,0.672263692138235)(2.01118671242645,0.873452331776075)(2.15292155985113,1.08467979233251)(2.31543104724529,1.33100985856566)(2.47794053463946,1.57234477636291)(2.64045002203363,1.79967676805324)(2.8029595094278,2.00551257147503)(2.98053021234866,2.19876151854678)(3.15810091526952,2.35244141897818)(3.33567161819038,2.46238739403315)(3.51324232111124,2.52760440278721)(3.68276033542686,2.54936421904797)(3.85227834974248,2.53395924312724)(4.0217963640581,2.48547075104593)(4.19131437837372,2.40939424477928)(4.36144250477258,2.31169263223231)(4.53157063117143,2.19954333533971)(4.70169875757028,2.08008163360487)(4.87182688396914,1.96004827223993)(5.07182688396914,1.82640088403678)(5.27182688396914,1.70979582906575)(5.47182688396914,1.617641255691)(5.67182688396914,1.55422821545046)(5.87182688396914,1.52140637481918)(6.07182688396914,1.51973030678785)(6.27182688396914,1.54742116712065)(6.47182688396914,1.60031420101171)(6.65584182087078,1.66647705176111)(6.83985675777243,1.74458910354999)(7.02387169467407,1.82945895191515)(7.20788663157572,1.91599278757709)(7.40788663157572,2.00643755970277)(7.60788663157572,2.08745942980826)(7.80788663157572,2.15434119261216)(8.00788663157572,2.20415598987417)(8.20788663157572,2.23541366658473)(8.40788663157572,2.24739040647259)(8.60788663157572,2.24078939178001)(8.80788663157572,2.21783083420832)(9.00788663157572,2.18162684312606)(9.20788663157572,2.13567933429455)(9.40788663157572,2.08393835162223)(9.60788663157572,2.03036373971575)(9.80788663157572,1.97864834179063)(10.0078866315757,1.93226909781905)(10.2078866315757,1.89406920512591)(10.4078866315757,1.86582500378213)(10.6078866315757,1.84845514086576)(10.8078866315757,1.84241900489823)(11.0078866315757,1.847323647113)(11.2078866315757,1.86186910799404)(11.4078866315757,1.88422069366918)(11.6078866315757,1.91230861115138)(11.8078866315757,1.94379273865212)(12.0078866315757,1.97632328033215)(12.2078866315757,2.00770648772674)(12.4078866315757,2.03587509712973)(12.6078866315757,2.05913715379371)(12.8078866315757,2.07643452896072)(13.0078866315757,2.0872190157743)(13.2078866315757,2.09121520153385)(13.4078866315757,2.08865532190129)(13.6078866315757,2.08031268413037)(13.8078866315757,2.0672798453753)(14.0078866315757,2.05078959741403)(14.2078866315757,2.03223686676426)(14.4078866315757,2.01302386478946)(14.6078866315757,1.99446079289273)(14.8078866315757,1.97778280166389)(15.0078866315757,1.96400221255129)(15.2078866315757,1.95375431056398)(15.4078866315757,1.9473706876799)(15.6078866315757,1.94502028574849)(15.8078866315757,1.94656933049034)(16.0078866315757,1.95156097193769)(16.2078866315757,1.95934742341858)(16.4078866315757,1.96919685943856)(16.6078866315757,1.98027998419899)(16.8078866315757,1.99176206079332)(17.0078866315757,2.00286238227422)(17.2078866315757,2.01284452454694)(17.4078866315757,2.02110421167421)(17.6078866315757,2.02726132441398)(17.8078866315757,2.03111647485838)(18.0078866315757,2.03256709492489)(18.2078866315757,2.03169103390014)(18.4078866315757,2.02875896942978)(18.6078866315757,2.02415568506227)(18.8078866315757,2.01831622468402)(19.0078866315757,2.01173416380239)(19.2078866315757,2.00490692603852)(19.4078866315757,1.9983001599852)(19.6078866315757,1.99235332531059)(19.8078866315757,1.98742747670345)(20.0078866315757,1.98375037334477)(20.2078866315757,1.9814421856748)(20.4078866315757,1.98056541140936)(20.6078866315757,1.9810749978163)(20.8078866315757,1.9828107839024)(21.0078866315757,1.98554439707405)(21.2078866315757,1.98901738137615)(21.4078866315757,1.99293611965805)(21.6078866315757,1.99700432820979)(21.8078866315757,2.00094439283236)(22.0078866315757,2.0044941703592)(22.2078866315757,2.00743802526637)(22.4078866315757,2.00963957743918)(22.6078866315757,2.01102648435241)(22.8078866315757,2.01156074684303)(23.0078866315757,2.01126847195621)(23.2078866315757,2.01024447415014)(23.4078866315757,2.00862433772467)(23.6078866315757,2.00656164635699)(23.8078866315757,2.00423110032442)(24.0078866315757,2.00180920816223)(24.2078866315757,1.99946150782)(24.4078866315757,1.99734439445886)(24.6078866315757,1.99558667463292)(24.8078866315757,1.99427002957375)(25.0078866315757,1.99343802309594)(25.2078866315757,1.99311376562469)(25.4078866315757,1.9932821555175)(25.6078866315757,1.993887079401)(25.8078866315757,1.99484805499117)(26.0078866315757,1.9960738293381)(26.2078866315757,1.99746046754702)(26.4078866315757,1.99890282575726)(26.6078866315757,2.0003022044146)(26.8078866315757,2.00156530553347)(27.0078866315757,2.00261519573034)(27.2078866315757,2.00340296141983)(27.4078866315757,2.00390237698767)(27.6078866315757,2.00409939715391)(27.8078866315757,2.00400275321987)(28.0078866315757,2.00364565586901)(28.207886631575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};

\end{axis}
\\
\begin{axis}  [%
%view={0}{90},
width=10cm,
height=2cm,
scale only axis,
xmin=0, xmax=40,
xlabel={},
ymin=0, ymax=3,
ylabel={Uno},
title={}]
color=blue,
solid
]
coordinates{
(0,0)(0.2,0)(0.4,0)(0.6,0)(0.8,0)(0.999999999999993,0)(1,0)(1.00000000000001,2.01683462742295e-28)(1.14649554253811,0.0213589663789572)(1.29299108507621,0.0846022573641427)(1.43948662761431,0.187268256107688)(1.58598217015241,0.32528040626792)(1.72771701757709,0.487486503111306)(1.86945186500177,0.672263692138235)(2.01118671242645,0.873452331776075)(2.15292155985113,1.08467979233251)(2.31543104724529,1.33100985856566)(2.47794053463946,1.57234477636291)(2.64045002203363,1.79967676805324)(2.8029595094278,2.00551257147503)(2.98053021234866,2.19876151854678)(3.15810091526952,2.35244141897818)(3.33567161819038,2.46238739403315)(3.51324232111124,2.52760440278721)(3.68276033542686,2.54936421904797)(3.85227834974248,2.53395924312724)(4.0217963640581,2.48547075104593)(4.19131437837372,2.40939424477928)(4.36144250477258,2.31169263223231)(4.53157063117143,2.19954333533971)(4.70169875757028,2.08008163360487)(4.87182688396914,1.96004827223993)(5.07182688396914,1.82640088403678)(5.27182688396914,1.70979582906575)(5.47182688396914,1.617641255691)(5.67182688396914,1.55422821545046)(5.87182688396914,1.52140637481918)(6.07182688396914,1.51973030678785)(6.27182688396914,1.54742116712065)(6.47182688396914,1.60031420101171)(6.65584182087078,1.66647705176111)(6.83985675777243,1.74458910354999)(7.02387169467407,1.82945895191515)(7.20788663157572,1.91599278757709)(7.40788663157572,2.00643755970277)(7.60788663157572,2.08745942980826)(7.80788663157572,2.15434119261216)(8.00788663157572,2.20415598987417)(8.20788663157572,2.23541366658473)(8.40788663157572,2.24739040647259)(8.60788663157572,2.24078939178001)(8.80788663157572,2.21783083420832)(9.00788663157572,2.18162684312606)(9.20788663157572,2.13567933429455)(9.40788663157572,2.08393835162223)(9.60788663157572,2.03036373971575)(9.80788663157572,1.97864834179063)(10.0078866315757,1.93226909781905)(10.2078866315757,1.89406920512591)(10.4078866315757,1.86582500378213)(10.6078866315757,1.84845514086576)(10.8078866315757,1.84241900489823)(11.0078866315757,1.847323647113)(11.2078866315757,1.86186910799404)(11.4078866315757,1.88422069366918)(11.6078866315757,1.91230861115138)(11.8078866315757,1.94379273865212)(12.0078866315757,1.97632328033215)(12.2078866315757,2.00770648772674)(12.4078866315757,2.03587509712973)(12.6078866315757,2.05913715379371)(12.8078866315757,2.07643452896072)(13.0078866315757,2.0872190157743)(13.2078866315757,2.09121520153385)(13.4078866315757,2.08865532190129)(13.6078866315757,2.08031268413037)(13.8078866315757,2.0672798453753)(14.0078866315757,2.05078959741403)(14.2078866315757,2.03223686676426)(14.4078866315757,2.01302386478946)(14.6078866315757,1.99446079289273)(14.8078866315757,1.97778280166389)(15.0078866315757,1.96400221255129)(15.2078866315757,1.95375431056398)(15.4078866315757,1.9473706876799)(15.6078866315757,1.94502028574849)(15.8078866315757,1.94656933049034)(16.0078866315757,1.95156097193769)(16.2078866315757,1.95934742341858)(16.4078866315757,1.96919685943856)(16.6078866315757,1.98027998419899)(16.8078866315757,1.99176206079332)(17.0078866315757,2.00286238227422)(17.2078866315757,2.01284452454694)(17.4078866315757,2.02110421167421)(17.6078866315757,2.02726132441398)(17.8078866315757,2.03111647485838)(18.0078866315757,2.03256709492489)(18.2078866315757,2.03169103390014)(18.4078866315757,2.02875896942978)(18.6078866315757,2.02415568506227)(18.8078866315757,2.01831622468402)(19.0078866315757,2.01173416380239)(19.2078866315757,2.00490692603852)(19.4078866315757,1.9983001599852)(19.6078866315757,1.99235332531059)(19.8078866315757,1.98742747670345)(20.0078866315757,1.98375037334477)(20.2078866315757,1.9814421856748)(20.4078866315757,1.98056541140936)(20.6078866315757,1.9810749978163)(20.8078866315757,1.9828107839024)(21.0078866315757,1.98554439707405)(21.2078866315757,1.98901738137615)(21.4078866315757,1.99293611965805)(21.6078866315757,1.99700432820979)(21.8078866315757,2.00094439283236)(22.0078866315757,2.0044941703592)(22.2078866315757,2.00743802526637)(22.4078866315757,2.00963957743918)(22.6078866315757,2.01102648435241)(22.8078866315757,2.01156074684303)(23.0078866315757,2.01126847195621)(23.2078866315757,2.01024447415014)(23.4078866315757,2.00862433772467)(23.6078866315757,2.00656164635699)(23.8078866315757,2.00423110032442)(24.0078866315757,2.00180920816223)(24.2078866315757,1.99946150782)(24.4078866315757,1.99734439445886)(24.6078866315757,1.99558667463292)(24.8078866315757,1.99427002957375)(25.0078866315757,1.99343802309594)(25.2078866315757,1.99311376562469)(25.4078866315757,1.9932821555175)(25.6078866315757,1.993887079401)(25.8078866315757,1.99484805499117)(26.0078866315757,1.9960738293381)(26.2078866315757,1.99746046754702)(26.4078866315757,1.99890282575726)(26.6078866315757,2.0003022044146)(26.8078866315757,2.00156530553347)(27.0078866315757,2.00261519573034)(27.2078866315757,2.00340296141983)(27.4078866315757,2.00390237698767)(27.6078866315757,2.00409939715391)(27.8078866315757,2.00400275321987)(28.0078866315757,2.00364565586901)(28.207886631575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};

\end{axis}
\\};

\end{tikzpicture}

-
Can you provide a compilable document with two dummy plots? –  percusse Jun 17 '12 at 1:01
Of course, appended it to the qustion. –  bijan Jun 17 '12 at 1:25
Thanks. The easiest solution seems to be naming your matrix, say (a), and using \draw (a.70) -- (a.-70); in the end. –  percusse Jun 17 '12 at 1:47

If I understood your question correctly, all you have to do is to use the option remember picture for tikzpicture; I wasn't sure about where you wanted the line, so I chose some "test" points:

\documentclass{article}
\usepackage{pgfplots}

\begin{document}

\begin{tikzpicture}[remember picture]
\matrix{
\begin{axis}[
width=10cm,
height=2cm,
scale only axis,
xmin=0, xmax=40,
xlabel={},
ymin=0, ymax=3,
ylabel={Due},
title={}]
color=red,
solid
]
coordinates{
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-
That is exactly what i was looking for. So simple.. Thank you so much! –  bijan Jun 17 '12 at 1:39

I would recommend using the groupplots library for arranging your plots, instead of a matrix. That way, you don't have to repeat the options for each axis, and you can do things like move the ticklabels only to the bottom edge. It also eliminates the need for compiling twice (which you have to do when using remmeber picture:

\documentclass{article}
\usepackage{pgfplots}
\usepgfplotslibrary{groupplots}

\pgfplotsset{compat=1.5}
\begin{document}

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8.40788663157572,2.24739040647259
8.60788663157572,2.24078939178001
8.80788663157572,2.21783083420832
9.00788663157572,2.18162684312606
9.20788663157572,2.13567933429455
9.40788663157572,2.08393835162223
9.60788663157572,2.03036373971575
12.0078866315757,1.97632328033215
40,1.99972342906517
}\datatable

\begin{tikzpicture}
\begin{groupplot}[
width=10cm,
height=2cm,
scale only axis,
xmin=0, xmax=40,
xlabel={},
ymin=0, ymax=3,
ylabel={Due},
title={},
group style={
rows=2,
xticklabels at=edge bottom
}
]

\nextgroupplot
color=red,
solid
]
table {\datatable};

\coordinate (somePoint1) at (axis cs:1,1);

\nextgroupplot[ylabel=Uno]

@bijan: For setting the distance between the plots, you can use group/vertical sep=<length>, to make one of the plots taller, use height=<length> in the \nextgroupplot[...] options. –  Jake Jun 17 '12 at 16:24