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+%--------------------------------------------
+%
+% Package pgfplots
+%
+% Provides a user-friendly interface to create function plots (normal
+% plots, semi-logplots and double-logplots).
+%
+% It is based on Till Tantau's PGF package.
+%
+% Copyright 2007/2008 by Christian Feuersänger.
+%
+% This program is free software: you can redistribute it and/or modify
+% it under the terms of the GNU General Public License as published by
+% the Free Software Foundation, either version 3 of the License, or
+% (at your option) any later version.
+%
+% This program is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public License
+% along with this program. If not, see <http://www.gnu.org/licenses/>.
+%
+%--------------------------------------------
+
+% This file contains the code to process coordinates
+% - coordinate input: \addplot and its variants,
+% - coordinate loops,
+% - single coordinate processing
+
+
+
+% Denotes a point in a twodimensional hyperplane. The hyperplane is
+% one of the six planes of the threedimensional axis cube.
+%
+% The meaning of coordinates #1 and #2 will be redefined depending on
+% which surface we are currently processing. You can get the axis
+% names for '#1' (a) and '#2' (b) using the macros
+% \pgfplotspointonorientedsurfaceA
+% and
+% \pgfplotspointonorientedsurfaceB.
+%
+% Example:
+% \pgfplotspointonorientedsurfaceabsetupforxyz{0}
+% ->
+% \pgfplotspointonorientedsurfaceA = x
+% \pgfplotspointonorientedsurfaceB = y
+% \pgfplotspointonorientedsurfaceab{3}{4} = \pgfqpointxyz{3}{4}{0}
+%
+% \pgfplotspointonorientedsurfaceabsetupforyxz{0}
+% ->
+% \pgfplotspointonorientedsurfaceA = y
+% \pgfplotspointonorientedsurfaceB = x
+% \pgfplotspointonorientedsurfaceab{3}{4} = \pgfqpointxyz{4}{3}{0}
+%
+% @see \pgfplotspointonorientedsurfaceabsetupforxyz
+\def\pgfplotspointonorientedsurfaceab#1#2{%
+ \pgfplots@error{Internal logic error: \string\pgfplotspointonorientedsurfaceab\ used although surface has not been declared! You need to call \string\pgfplotspointonorientedsurfaceabsetupforxyz\ or its friends to do so.}%
+}%
+
+% This macro will be defined after
+% \pgfplotspointonorientedsurfaceabsetupfor...
+% routines. It expands to a three-character string
+% where the first character contains information about the x axis,
+% the second about the y axis and the third about the z axis.
+%
+% The single characters can be one of
+% - 'a' - the corresponding axis is the PRIMARY direction of the
+% oriented surface.
+% - 'b' - the corresponding axis is the SECONDARY direction of the
+% oriented surface.
+% - anything else - the characters provides as second argument for
+% \pgfplotspointonorientedsurfaceabsetupforsetz{}{}, for example.
+% Common choices are '0' for lower limit, '1' for upper limit and
+% '2' for other.
+\def\pgfplotspointonorientedsurfacespec{}%
+
+% Similar to \pgfplotspointonorientedsurfacespec, this macro encodes
+% the currently active oriented surface.
+% However, it only contains the characters 'v', '0' and '1' and '2'.
+% The distinction 'v in {a,b}' is eliminated.
+\def\pgfplotspointonorientedsurfacespecunordered{}%
+
+% Initialises \pgfplotspointonorientedsurfaceab such that 'a' is the x
+% axis and 'b' is the y axis and the z coordinate has been fixed with
+% \pgfplotspointonorientedsurfaceabsetupforsetz{}.
+%
+% The Z value needs to be fixed with
+% \pgfplotspointonorientedsurfaceabsetupforsetz .
+%
+\def\pgfplotspointonorientedsurfaceabsetupforxyz{%
+ \def\pgfplotspointonorientedsurfaceab##1##2{\pgfplotsqpointxyz{##1}{##2}{\pgfplotspointonorientedsurfaceabsetupfor@fixedZ}}%
+ \def\pgfplotspointonorientedsurfaceA{x}%
+ \def\pgfplotspointonorientedsurfaceB{y}%
+ \edef\pgfplotspointonorientedsurfacespec{ab\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol}%
+ \edef\pgfplotspointonorientedsurfacespecunordered{vv\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol}%
+}%
+\def\pgfplotspointonorientedsurfaceabsetupforyxz{%
+ \def\pgfplotspointonorientedsurfaceab##1##2{\pgfplotsqpointxyz{##2}{##1}{\pgfplotspointonorientedsurfaceabsetupfor@fixedZ}}%
+ \def\pgfplotspointonorientedsurfaceA{y}%
+ \def\pgfplotspointonorientedsurfaceB{x}%
+ \edef\pgfplotspointonorientedsurfacespec{ba\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol}%
+ \edef\pgfplotspointonorientedsurfacespecunordered{vv\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol}%
+}%
+\def\pgfplotspointonorientedsurfaceabsetupforxzy{%
+ \def\pgfplotspointonorientedsurfaceab##1##2{\pgfplotsqpointxyz{##1}{\pgfplotspointonorientedsurfaceabsetupfor@fixedY}{##2}}%
+ \def\pgfplotspointonorientedsurfaceA{x}%
+ \def\pgfplotspointonorientedsurfaceB{z}%
+ \edef\pgfplotspointonorientedsurfacespec{a\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol b}%
+ \edef\pgfplotspointonorientedsurfacespecunordered{v\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol v}%
+}%
+\def\pgfplotspointonorientedsurfaceabsetupforzxy{%
+ \def\pgfplotspointonorientedsurfaceab##1##2{\pgfplotsqpointxyz{##2}{\pgfplotspointonorientedsurfaceabsetupfor@fixedY}{##1}}%
+ \def\pgfplotspointonorientedsurfaceA{z}%
+ \def\pgfplotspointonorientedsurfaceB{x}%
+ \edef\pgfplotspointonorientedsurfacespec{b\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol a}%
+ \edef\pgfplotspointonorientedsurfacespecunordered{v\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol v}%
+}%
+\def\pgfplotspointonorientedsurfaceabsetupforyzx{%
+ \def\pgfplotspointonorientedsurfaceab##1##2{\pgfplotsqpointxyz{\pgfplotspointonorientedsurfaceabsetupfor@fixedX}{##1}{##2}}%
+ \def\pgfplotspointonorientedsurfaceA{y}%
+ \def\pgfplotspointonorientedsurfaceB{z}%
+ \edef\pgfplotspointonorientedsurfacespec{\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol ab}%
+ \edef\pgfplotspointonorientedsurfacespecunordered{\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol vv}%
+}%
+\def\pgfplotspointonorientedsurfaceabsetupforzyx{%
+ \def\pgfplotspointonorientedsurfaceab##1##2{\pgfplotsqpointxyz{\pgfplotspointonorientedsurfaceabsetupfor@fixedX}{##2}{##1}}%
+ \def\pgfplotspointonorientedsurfaceA{z}%
+ \def\pgfplotspointonorientedsurfaceB{y}%
+ \edef\pgfplotspointonorientedsurfacespec{\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol ba}%
+ \edef\pgfplotspointonorientedsurfacespecunordered{\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol vv}%
+}%
+
+% Fixes 'x' to #1 for use in
+% \pgfplotspointonorientedsurfaceabsetupforzyx and
+% \pgfplotspointonorientedsurfaceabsetupforyzx.
+%
+% #1: The fixed value for 'x'.
+% #2: a one-character symbol describing 'x'.
+% Command characters are
+% - 0 : x is the lower x-axis range.
+% - 1 : x is the upper x-axis range.
+% - 2 : other.
+\def\pgfplotspointonorientedsurfaceabsetupforsetx#1#2{%
+ \edef\pgfplotspointonorientedsurfaceabsetupfor@fixedX{#1}%
+ \edef\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol{#2}%
+}%
+\def\pgfplotspointonorientedsurfaceabsetupforsety#1#2{%
+ \edef\pgfplotspointonorientedsurfaceabsetupfor@fixedY{#1}%
+ \edef\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol{#2}%
+}%
+\def\pgfplotspointonorientedsurfaceabsetupforsetz#1#2{%
+ \edef\pgfplotspointonorientedsurfaceabsetupfor@fixedZ{#1}%
+ \edef\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol{#2}%
+}%
+
+% Helper methods which should be used if no Z component exists (pure
+% 2d plots).
+\def\pgfplotspointonorientedsurfaceabsetupforxy{%
+ \def\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol{0}%
+ \def\pgfplotspointonorientedsurfaceab##1##2{\pgfplotsqpointxy{##1}{##2}}%
+ \def\pgfplotspointonorientedsurfaceA{x}%
+ \def\pgfplotspointonorientedsurfaceB{y}%
+ \edef\pgfplotspointonorientedsurfacespec{ab\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol}%
+ \edef\pgfplotspointonorientedsurfacespecunordered{vv\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol}%
+}%
+\def\pgfplotspointonorientedsurfaceabsetupforyx{%
+ \def\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol{0}%
+ \def\pgfplotspointonorientedsurfaceab##1##2{\pgfplotsqpointxy{##2}{##1}}%
+ \def\pgfplotspointonorientedsurfaceA{y}%
+ \def\pgfplotspointonorientedsurfaceB{x}%
+ \edef\pgfplotspointonorientedsurfacespec{ba\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol}%
+ \edef\pgfplotspointonorientedsurfacespecunordered{vv\pgfplotspointonorientedsurfaceabsetupfor@fixedsymbol}%
+}%
+
+
+% Assuming that an oriented surface has been initialised, say 'a0b',
+% we have the following possible axis lines which can be drawn:
+% - b=0: 'v00'
+% - b=1: 'v01'
+% - b=2: 'v02'
+%
+% To check which of them should be drawn, this macro here convert 'a'
+% to 'v' and 'b' to '#1'.
+%
+% The resulting three-character-string is written into '#2'.
+\def\pgfplotspointonorientedsurfaceabgetcontainedaxisline#1#2{%
+ \expandafter\pgfplotspointonorientedsurfaceabgetcontainedaxisline@\pgfplotspointonorientedsurfacespec\relax{#1}%
+ \let#2=\pgfplots@loc@TMPa
+}%
+% writes into \pgfplots@loc@TMPa:
+\def\pgfplotspointonorientedsurfaceabgetcontainedaxisline@#1#2#3\relax#4{%
+ \pgfplotspointonorientedsurfaceabgetcontainedaxisline@single{#1}{#4}\to\pgfplots@loc@TMPa
+ \pgfplotspointonorientedsurfaceabgetcontainedaxisline@single{#2}{#4}\to\pgfplots@loc@TMPb
+ \pgfplotspointonorientedsurfaceabgetcontainedaxisline@single{#3}{#4}\to\pgfplots@loc@TMPc
+ \edef\pgfplots@loc@TMPa{\pgfplots@loc@TMPa\pgfplots@loc@TMPb\pgfplots@loc@TMPc}%
+}%
+\def\pgfplotspointonorientedsurfaceabgetcontainedaxisline@single#1#2\to#3{%
+ \if#1a%
+ \def#3{v}%
+ \else
+ \if#1b%
+ \def#3{#2}%
+ \else
+ \def#3{#1}%
+ \fi
+ \fi
+}%
+
+
+% Finds the two surfaces which are adjacent to an axis line encoded as
+% three-character-string.
+%
+% There are the following possibilities:
+% #1 = 'v**' where '*' is not 'v'.
+% -> #2 = 'vv*' and #3 = 'v*v'
+%
+% #1 = '*v*'
+% -> #2 = 'vv*' and #3 = '*vv'
+%
+% #1 = '**v'
+% -> #2 = 'v*v' and #3 = '*vv'
+\def\pgfplotsgetadjacentsurfsforaxisline#1\to#2#3{%
+ \edef\pgfplots@loc@TMPa{#1}%
+ \expandafter\pgfplotsgetadjacentsurfsforaxisline@\pgfplots@loc@TMPa\relax{#2}{#3}%
+}%
+\def\pgfplotsgetadjacentsurfsforaxisline@#1#2#3\relax#4#5{%
+ \if#1v%
+ \def#4{vv#3}%
+ \def#5{v#2v}%
+ \else
+ \if#2v%
+ \def#4{vv#3}%
+ \def#5{#1vv}%
+ \else
+ \def#4{v#2v}%
+ \def#5{#1vv}%
+ \fi
+ \fi
+}%
+
+% Executes code '#2' if the axis line with 'b=#1' on the current
+% oriented surface shall be drawn.
+% If that is not the case, the code '#3' will be executed.
+%
+% Example:
+% Let's assume the current oriented surface is 'b0a'.
+% Then,
+% \pgfplots@ifaxisline@B@onorientedsurf@should@be@drawn{0}{draw it!}{\relax}
+% will check whether the line '00v' shall be drawn while
+% \pgfplots@ifaxisline@B@onorientedsurf@should@be@drawn{1}{draw it!}{\relax}
+% will check whether the line '10v' shall be drawn.
+%
+% @see \pgfplotspointonorientedsurfaceabgetcontainedaxisline
+%
+% @ATTENTION : this command will be always true for the 2D case. (it
+% will be overwritten, see \pgfplots@decide@which@figure@surfaces@are@drawn)
+\def\pgfplots@ifaxisline@B@onorientedsurf@should@be@drawn#1#2#3{%
+ \pgfplotspointonorientedsurfaceabgetcontainedaxisline#1\pgfplots@loc@TMPc
+ \pgfplotsgetadjacentsurfsforaxisline\pgfplots@loc@TMPc\to\pgfplots@loc@TMPb\pgfplots@loc@TMPc
+ \if1\csname pgfplots@surfenabled@\pgfplots@loc@TMPb\endcsname
+ #2%
+ \else
+ \if1\csname pgfplots@surfenabled@\pgfplots@loc@TMPc\endcsname
+ #2%
+ \else
+ #3%
+ \fi
+ \fi
+}%
+
+
+% Checks whether the line specified by a three-character-string '#1'
+% is inside of the currently set-up oriented surface.
+%
+% The return value is encoded as integer into the macro #2 as
+% described below.
+%
+% #1 : a three-character string uniquely identifing an axis line.
+% Each of the three characters can be 'v', '0' or '1'.
+% The value '0' denotes the lower axis range while '1' denotes
+% the upper axis range. The character 'v' stands for 'varying'
+% and indicates the direction in which the line varies. The first
+% character contains the values for the 'x' axis, the second
+% character for the 'y' axis and the third character for the 'z'
+% axis.
+% Example:
+% 'v01' is the axis line with 'y=lower y limit' and 'z=upper z limit'
+% '10v' is the axis line with 'x=upper x limit' and 'y=lower y limit'
+% The 'v' character indicates the varying component. There may be
+% only one 'v'.
+% #2 : a macro name. It will be empty if the line is NOT on the
+% current surface. If will be non-empty if it IS on the current
+% surface.
+% To be more precise, If the line IS on the current surface, '#2' will be set to
+% the character in '#1' which belongs to the second oriented
+% surface axis (which is called the 'b' axis).
+% Thus, the following values for '#2' can be expected:
+% - '' (empty) if the line is not on the surface,
+% - 'v' if the line IS on the surface, and '#1' contains a 'v'
+% in direction of the surface's 'b' axis.
+% - '0' if the line IS on the surface and '#1' contains a '0' in
+% direction of the surface's 'b' axis,
+% - '1' if the line IS on the surface and '#1' contains a '1' in
+% direction of the surface's 'b' axis.
+% No other values are possible.
+%
+% Example:
+% \pgfplotspointonorientedsurfaceabsetupforsetz{\zmax}{1}
+% \pgfplotspointonorientedsurfaceabsetupforyxz
+% \pgfplotspointonorientedsurfaceabmatchaxisline{v01}{\result}
+% -> \result will be 'v' because 'x=v' in '{v01}
+%
+% \pgfplotspointonorientedsurfaceabsetupforsety{\ymin}{0}
+% \pgfplotspointonorientedsurfaceabsetupforxzy
+% \pgfplotspointonorientedsurfaceabmatchaxisline{v01}{\result}
+% -> \result will be '1' because 'z=1' in '{v01}
+%
+% \pgfplotspointonorientedsurfaceabsetupforsety{\ymax}{1}
+% \pgfplotspointonorientedsurfaceabsetupforxzy
+% \pgfplotspointonorientedsurfaceabmatchaxisline{v01}{\result}
+% -> \result will be empty because 'y=0' in '{v01}
+%
+% \pgfplotspointonorientedsurfaceabsetupforsetx{\xmax}{1}
+% \pgfplotspointonorientedsurfaceabsetupforyzx
+% \pgfplotspointonorientedsurfaceabmatchaxisline{10v}{\result}
+% -> \result will be 'v' because 'z=v' in '{10v}
+\def\pgfplotspointonorientedsurfaceabmatchaxisline#1#2{%
+ \pgfplotsmatchcubeparts{#1}{\pgfplotspointonorientedsurfacespec}{#2}%
+}%
+
+% Checks whether the line or surface specified by a three-character-string '#1'
+% is inside of the surface designated by the three-character-string '#2'.
+%
+%
+% Arguments:
+% #1 a cube-part (axis line or surface) encoded as three character
+% string. Can be '0v1' or 'vv0' or so (see above).
+% #2 a surface, also encoded as three character string. Maybe
+% oriented.
+% #3 The return value is encoded as integer into the macro #3 as
+% described in \pgfplotspointonorientedsurfaceabmatchaxisline:
+% '#3' will be EMPTY if '#1' NOT in '#2'.
+% '#3' will be NON-EMPTY if '#1' IN '#2'.
+\def\pgfplotsmatchcubeparts#1#2#3{%
+ \edef\pgfplots@loc@TMPa{#1:#2}%
+ \expandafter\pgfplotspointonorientedsurfaceabmatchaxisline@\pgfplots@loc@TMPa\pgfplots@EOI
+ \let#3=\pgfplots@loc@TMPa
+}%
+
+% IMPLEMENTATION:
+% The return value is 'yes, #1#2#3 is on the oriented surface #4#5#6'
+% if and only if for all three character pairs, the following single
+% relations hold.
+% Input char oriented surface char
+% 'v' : is either a or b or v
+% '0' : is either 0, a, b, v or 2 (i.e. NOT 1)
+% '1' : is either 1, a, b, v or 2 (i.e. NOT 0)
+% That's all.
+%
+% If the 'oriented surface char' is 'v', then we actually don't have
+% an oriented surface but just a surface.
+% So, 'a0b' is the same surface as 'v0v', but the first choice has
+% designated orientations.
+%
+% @POST \pgfplots@loc@TMPa contains the return value macro.
+\def\pgfplotspointonorientedsurfaceabmatchaxisline@#1#2#3:#4#5#6\pgfplots@EOI{%
+ % Search for the 'b' character:
+ \if#4b%
+ \def\pgfplots@loc@TMPa{#1}%
+ \else
+ \if#5b%
+ \def\pgfplots@loc@TMPa{#2}%
+ \else
+ \if#6b%
+ \def\pgfplots@loc@TMPa{#3}%
+ \else
+ \def\pgfplots@loc@TMPa{v}% FALLBACK solution.
+ \fi
+ \fi
+ \fi
+ % Now, check whether we need to clear the return value (i.e.
+ % return false)
+ \pgfplotspointonorientedsurfaceabmatchaxisline@single{#1}{#4}%
+ \pgfplotspointonorientedsurfaceabmatchaxisline@single{#2}{#5}%
+ \pgfplotspointonorientedsurfaceabmatchaxisline@single{#3}{#6}%
+}
+\def\pgfplotspointonorientedsurfaceabmatchaxisline@single#1#2{%
+ \if#1v%
+ \if#2a%
+ \else
+ \if#2b%
+ \else
+ \if#2v%
+ \else
+ \let\pgfplots@loc@TMPa=\pgfutil@empty
+ \fi
+ \fi
+ \fi
+ \else
+ \if0#1%
+ \if1#2%
+ \let\pgfplots@loc@TMPa=\pgfutil@empty
+ \fi
+ \else
+ \if1#1%
+ \if0#2%
+ \let\pgfplots@loc@TMPa=\pgfutil@empty
+ \fi
+ \else
+ \pgfplots@error{The character '#1' is no valid element for a three-character axis line or surface description!}%
+ \fi
+ \fi
+ \fi
+}%
+
+% Takes Pitch '#1' and Yaw '#2' (both in degrees) and computes
+% x,y and z vectors which define the view in the direction
+% defined by '#1' and '#2'.
+%
+% 'Pitch' means a rotation around the viewport's x axis. 'Yaw' means
+% a rotation around the original coordinate system's z axis.
+%
+% The method works by computing
+% Az = [ cos(yaw) -sin(yaw) 0; ...
+% sin(yaw) cos(yaw) 0; ...
+% 0 0 1 ];
+% Ax = [ 1 0 0; ...
+% 0 cos(pitch) -sin(pitch) ;...
+% 0 sin(pitch) cos(pitch) ];
+% v= Ax * Az;
+%
+% = [ ...
+% cosy -siny cosp siny sinp; ...
+% siny cosy cosp -sinp cosy; ...
+% 0 sinp cosp ];
+%
+% Then, we use the rotated XY plane as viewport, that means
+% xvec = v * [1 0 0]'
+% yvec = v * [0 1 0]'
+% and we define the projection onto the twodimensional surface
+% spanned by 'xvec' and 'yvec' as
+% P( q ) = [ q^T xvec, q^T yvec ]'
+% for q in R^3.
+% As a consequence, we compute the three unit vectors as
+% x = P( [1 0 0] )
+% y = P( [0 1 0] )
+% z = P( [0 0 1] )
+% and get thus in matlab notation:
+%
+% proj = 1:2;
+% x = v(1,proj);
+% y = v(2,proj);
+% z = v(3,proj);
+%
+% INPUT:
+% - #1 : pitch
+% - #2 : yaw
+% OUTPUT:
+% - #3 : a macro which will be set to '1' if and only if
+% the viewport is the standard XY axis (i.e. pitch=0,yaw=0).
+% - \pgfplots@[xyz]@veclength
+% \pgfplots@[xyz]@inverseveclength
+% are set properly
+\def\pgfplotssetaxesfrompitchyaw#1#2#3{%
+ \begingroup
+ \pgfmathsin@{#1}%
+ \let\sinp=\pgfmathresult
+ \pgfmathsin@{#2}%
+ \let\siny=\pgfmathresult
+ \pgfmathcos@{#1}%
+ \let\cosp=\pgfmathresult
+ \pgfmathcos@{#2}%
+ \let\cosy=\pgfmathresult
+ % x:
+ \pgfmathmultiply@{\siny}{-1}%
+ \expandafter\pgfmathmultiply@\expandafter{\pgfmathresult}{\cosp}%
+ \xdef\pgfplots@glob@TMPa{\noexpand\pgfqpoint{\cosy pt}{\pgfmathresult pt}}%
+ % y:
+ \pgfmathmultiply@{\cosy}{\cosp}%
+ \xdef\pgfplots@glob@TMPb{\noexpand\pgfqpoint{\siny pt}{\pgfmathresult pt}}%
+ % z:
+ \xdef\pgfplots@glob@TMPc{\noexpand\pgfqpoint{0pt}{\sinp pt}}%
+ \endgroup
+\message{Setting x,y and z from {#1}{#2} to x = \meaning\pgfplots@glob@TMPa, y = \meaning\pgfplots@glob@TMPb, z = \meaning\pgfplots@glob@TMPc...}%
+ \pgfsetxvec{\pgfplots@glob@TMPa}%
+ \pgfsetyvec{\pgfplots@glob@TMPb}%
+ \pgfsetzvec{\pgfplots@glob@TMPc}%
+ \def#3{0}%
+ \def\pgfplots@x@veclength{1.0}%
+ \def\pgfplots@y@veclength{1.0}%
+ \def\pgfplots@z@veclength{1.0}%
+ \def\pgfplots@x@inverseveclength{1.0}%
+ \def\pgfplots@y@inverseveclength{1.0}%
+ \def\pgfplots@z@inverseveclength{1.0}%
+% FIXME :
+\def\scale{200}%
+\pgfmathreciprocal@{\scale}%
+\let\invscale=\pgfmathresult
+\pgfsetxvec{\pgfpointscale{\scale}{\pgfplots@glob@TMPa}}%
+\pgfsetyvec{\pgfpointscale{\scale}{\pgfplots@glob@TMPb}}%
+\pgfsetzvec{\pgfpointscale{\scale}{\pgfplots@glob@TMPc}}%
+\let\pgfplots@x@veclength=\scale%
+\let\pgfplots@y@veclength=\scale%
+\let\pgfplots@z@veclength=\scale%
+\let\pgfplots@x@inverseveclength=\invscale%
+\let\pgfplots@y@inverseveclength=\invscale%
+\let\pgfplots@z@inverseveclength=\invscale%
+}%
+
+
+
+% Internal stream methods.
+%
+% Please overwrite
+% - \pgfplots@coord@stream@start@,
+% - \pgfplots@coord@stream@end@ and
+% - \pgfplots@coord@stream@coord@
+% if you implement streams.
+%
+% REMARK:
+% - the stream methods automatically collect first and last
+% coordinates.
+% - I have experimented with global \addplot accumulation to reduce
+% copy operations. That experiment was not successfull (it was not
+% faster :-( ). However, the streaming methods still assign their
+% things globally...
+\newif\ifpgfplots@coord@stream@isfirst
+\def\pgfplots@coord@stream@start{%
+ \global\pgfplots@coord@stream@isfirsttrue
+ \global\let\pgfplots@currentplot@firstcoord@x=\pgfutil@empty
+ \global\let\pgfplots@currentplot@firstcoord@y=\pgfutil@empty
+ \global\let\pgfplots@currentplot@firstcoord@z=\pgfutil@empty
+ \global\let\pgfplots@currentplot@lastcoord@x=\pgfutil@empty
+ \global\let\pgfplots@currentplot@lastcoord@y=\pgfutil@empty
+ \global\let\pgfplots@currentplot@lastcoord@z=\pgfutil@empty
+ \let\pgfplots@current@point@x=\pgfutil@empty
+ \let\pgfplots@current@point@y=\pgfutil@empty
+ \let\pgfplots@current@point@z=\pgfutil@empty
+ \let\pgfplots@current@point@meta=\pgfutil@empty
+ \let\pgfplots@current@point@x@error=\pgfutil@empty
+ \let\pgfplots@current@point@y@error=\pgfutil@empty
+ \let\pgfplots@current@point@z@error=\pgfutil@empty
+ \pgfplots@coord@stream@start@}%
+\def\pgfplots@coord@stream@end{\pgfplots@coord@stream@end@}
+
+% Will be invoked for every point coordinate.
+%
+% It invokes \pgfplots@coord@stream@coord@.
+%
+% Arguments:
+% \pgfplots@current@point@[xyz]
+% \pgfplots@current@point@[xyz]@error (if in argument list)
+% \pgfplots@current@point@meta
+\def\pgfplots@coord@stream@coord{%
+ \pgfplots@coord@stream@coord@%
+ % FIXME : needs to be updated for 3D
+ % FIXME : reduce \if's
+ \ifx\pgfplots@current@point@x\pgfutil@empty
+ \else
+ \ifx\pgfplots@current@point@y\pgfutil@empty
+ \else
+ \ifpgfplots@coord@stream@isfirst
+ \global\let\pgfplots@currentplot@firstcoord@x=\pgfplots@current@point@x
+ \global\let\pgfplots@currentplot@firstcoord@y=\pgfplots@current@point@y
+ \global\pgfplots@coord@stream@isfirstfalse
+ \fi
+ \global\let\pgfplots@currentplot@lastcoord@x=\pgfplots@current@point@x
+ \global\let\pgfplots@currentplot@lastcoord@y=\pgfplots@current@point@y
+ \fi
+ \fi
+}%
+
+% Initialises
+% \pgfplots@coord@stream@start
+% \pgfplots@coord@stream@coord
+% \pgfplots@coord@stream@end
+% such that a following coordinate stream is processed properly. The
+% following coordinate stream may come from different input methods.
+%
+% Arguments:
+% #1: all options of \addplot[...] (the plot style)
+% #2: any trailing path commands after the 'plot' command as such,
+% for example \addplot plot coordinates {...} -- (0,0);
+% would yield #2 =' -- (0,0)'
+%
+% PRECONDITION:
+% - needs to be called inside of \addplot.
+%
+% REMARK:
+% The following code is permissable:
+% \pgfplots@PREPARE@COORD@STREAM{..}{...}
+% \pgfplots@coord@stream@start
+% ...
+% \pgfplots@coord@stream@coord
+% ..
+% \pgfplots@coord@stream@coord
+% ..
+% \pgfplots@coord@stream@end
+% -> All need to be the SAME LEVEL OF SCOPING! The '@coord' commands
+% may not be scoped deeper than 'begin' and 'end'!
+% - I had a version which allowed that. it was actually slower!
+% - For now, the following things are global / local:
+% - point coordinate list: local
+% - meta data limits: global,
+% - recorded error bar commands: local,
+% - what about stacked plot stuff: appears to be a combination
+% of local/global.
+%
+\long\def\pgfplots@PREPARE@COORD@STREAM#1#2{%
+ \ifpgfplots@curplot@threedim
+ \global\pgfplots@threedimtrue
+ \fi
+ \def\pgfplots@coord@stream@start@{%
+ \pgfplotsapplistXXnewempty
+ \ifpgfplots@errorbars@enabled
+ \pgfplots@streamerrorbar@recordto{\pgfplots@recordederrorbar}%
+ \pgfplots@streamerrorbarstart
+ \else
+ \let\pgfplots@recordederrorbar=\pgfutil@empty
+ \fi
+ \ifpgfplots@stackedmode
+ \pgfplots@stacked@beginplot
+ \fi
+ %
+ %\let\pgfplots@coord@stream@recorded=\pgfutil@empty
+ %
+ \pgfplots@perpointmeta@usesfloattrue
+ % %%%%%%%%%%%%%%
+ %
+ % Define \pgfplots@set@perpointmeta properly:
+ \ifcase\pgfplots@perpointmeta@choice
+ % disabled.
+ \def\pgfplots@set@perpointmeta{%
+ \let\pgfplots@current@point@meta=\pgfutil@empty
+ }%
+ \or
+ % point meta/x
+ \def\pgfplots@set@perpointmeta{%
+ \let\pgfplots@current@point@meta=\pgfplots@current@point@x
+ }%
+ \ifpgfplots@xislinear
+ \else
+ \pgfplots@perpointmeta@usesfloatfalse
+ \fi
+ \or
+ % point meta/y
+ \def\pgfplots@set@perpointmeta{%
+ \let\pgfplots@current@point@meta=\pgfplots@current@point@y
+ }%
+ \ifpgfplots@yislinear
+ \else
+ \pgfplots@perpointmeta@usesfloatfalse
+ \fi
+ \or
+ % point meta/z
+ \def\pgfplots@set@perpointmeta{%
+ \let\pgfplots@current@point@meta=\pgfplots@current@point@z
+ }%
+ \ifpgfplots@zislinear
+ \else
+ \pgfplots@perpointmeta@usesfloatfalse
+ \fi
+ \or
+ % point meta/explicit : parse the information found
+ % somewhere:
+ \def\pgfplots@set@perpointmeta{%
+ \pgfmathfloatparsenumber{\pgfplots@current@point@meta}%
+ \let\pgfplots@current@point@meta=\pgfmathresult
+ }%
+ \or
+ % point meta/explicit symbolic : simply collect the
+ % information, no math.
+ \def\pgfplots@set@perpointmeta{}%
+ \fi
+ \ifnum\pgfplots@perpointmeta@choice=0
+ \global\let\pgfplots@metamin=\pgfutil@empty
+ \global\let\pgfplots@metamax=\pgfutil@empty
+ \else
+ \ifnum\pgfplots@perpointmeta@choice=5
+ \global\let\pgfplots@metamin=\pgfutil@empty
+ \global\let\pgfplots@metamax=\pgfutil@empty
+ \else
+ % We need to work with per point meta data.
+ % So, also compute the data range on a per-stream basis!
+ % These limits are important later.
+ \ifpgfplots@perpointmeta@usesfloat
+ \pgfmathfloatcreate{1}{1.0}{2147483645}%
+ \let\pgfplots@invalidrange@metamin=\pgfmathresult
+ \pgfmathfloatcreate{2}{1.0}{2147483645}%
+ \let\pgfplots@invalidrange@metamax=\pgfmathresult
+ \global\let\pgfplots@metamin=\pgfplots@invalidrange@metamin
+ \global\let\pgfplots@metamax=\pgfplots@invalidrange@metamax
+ \expandafter\def\expandafter\pgfplots@set@perpointmeta\expandafter{%
+ \pgfplots@set@perpointmeta
+ \pgfplotsmathfloatmin{\pgfplots@metamin}{\pgfplots@current@point@meta}%
+ \global\let\pgfplots@metamin=\pgfmathresult
+ \pgfplotsmathfloatmax{\pgfplots@metamax}{\pgfplots@current@point@meta}%
+ \global\let\pgfplots@metamax=\pgfmathresult
+ }%
+ \else
+ \def\pgfplots@invalidrange@metamin{16300}%
+ \def\pgfplots@invalidrange@metamax{-16300}%
+ \global\let\pgfplots@metamin=\pgfplots@invalidrange@metamin
+ \global\let\pgfplots@metamax=\pgfplots@invalidrange@metamax
+ \expandafter\def\expandafter\pgfplots@set@perpointmeta\expandafter{%
+ \pgfplots@set@perpointmeta
+ \pgfplotsmathmin{\pgfplots@metamin}{\pgfplots@current@point@meta}%
+ \global\let\pgfplots@metamin=\pgfmathresult
+ \pgfplotsmathmax{\pgfplots@metamax}{\pgfplots@current@point@meta}%
+ \global\let\pgfplots@metamax=\pgfmathresult
+ }%
+ \fi
+ \fi
+ \fi
+ }%
+ \begingroup
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \let\E=\noexpand
+ %
+ % Setup Just-In-Time-Macro Compilation:
+ % I compile a set of macros which is highly optimized for this
+ % particular plot.
+ %
+ % 1.\pgfplots@update@limits@for@one@point
+ % Updates the current x and y limits for point (#1,#2).
+ %
+ % To eliminate all those case distinctions, it is created with
+ % 'edef' and a lot of '\noexpand' calls here:
+ %
+ %
+ % The point coordinates may be given in floating point format, see
+ % below.
+ %
+ % Please note that if user specified limits are given, automatic
+ % limits are only applied to points which fall into the user specified
+ % clipping region.
+ %
+ % PRECONDITIONS:
+ % - the input coordinates have been parsed correctly (floating point
+ % format for linear axis, log applied for logarithmic ones)
+ %
+ % Arguments:
+ % \pgfplots@current@point@[xyz]
+ \xdef\pgfplots@update@limits@for@one@point{%
+%\E\tracingmacros=2\E\tracingcommands=2
+%\E\pgfplots@message{Updating limits for (\E\pgfplots@current@point@x,\E\pgfplots@current@point@y) ...}%
+ %
+ % VIM SEARCH PATTERN:
+ % [^E]\zs\\\ze[^E]
+ % -> this finds '\' which is neither '\E' nor is it prefixed
+ % by 'E'.
+ %
+ %
+ %
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDfalse
+ % check whether we need to clip limits:
+ \ifpgfplots@clip@limits
+ \ifpgfplots@autocompute@xmin
+ \else
+ \ifpgfplots@xislinear
+ \E\pgfmathfloatlessthan@{\E\pgfplots@current@point@x}{\E\pgfplots@xmin}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \else
+ \E\pgfplotsmathlessthan{\E\pgfplots@current@point@x}{\E\pgfplots@xmin}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \fi
+ \fi
+ \ifpgfplots@autocompute@xmax
+ \else
+ \ifpgfplots@xislinear
+ \E\pgfmathfloatlessthan@{\E\pgfplots@xmax}{\E\pgfplots@current@point@x}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \else
+ \E\pgfplotsmathlessthan{\E\pgfplots@xmax}{\E\pgfplots@current@point@x}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \fi
+ \fi
+ \ifpgfplots@autocompute@ymin
+ \else
+ \ifpgfplots@yislinear
+ \E\pgfmathfloatlessthan@{\E\pgfplots@current@point@y}{\E\pgfplots@ymin}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \else
+ \E\pgfplotsmathlessthan{\E\pgfplots@current@point@y}{\E\pgfplots@ymin}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \fi
+ \fi
+ \ifpgfplots@autocompute@ymax
+ \else
+ \ifpgfplots@yislinear
+ \E\pgfmathfloatlessthan@{\E\pgfplots@ymax}{\E\pgfplots@current@point@y}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \else
+ \E\pgfplotsmathlessthan{\E\pgfplots@ymax}{\E\pgfplots@current@point@y}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \fi
+ \fi
+ \ifpgfplots@curplot@threedim
+ \else
+ \ifpgfplots@autocompute@zmin
+ \else
+ \ifpgfplots@zislinear
+ \E\pgfmathfloatlessthan@{\E\pgfplots@current@point@z}{\E\pgfplots@zmin}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \else
+ \E\pgfplotsmathlessthan{\E\pgfplots@current@point@z}{\E\pgfplots@zmin}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \fi
+ \fi
+ \ifpgfplots@autocompute@zmax
+ \else
+ \ifpgfplots@zislinear
+ \E\pgfmathfloatlessthan@{\E\pgfplots@zmax}{\E\pgfplots@current@point@z}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \else
+ \E\pgfplotsmathlessthan{\E\pgfplots@zmax}{\E\pgfplots@current@point@z}%
+ \E\ifpgfmathfloatcomparison
+ \E\pgfplots@update@limits@for@one@point@ISCLIPPEDtrue
+ \E\fi
+ \fi
+ \fi
+ \fi
+ \fi
+ %
+ %
+ %
+ % Update limits:
+ \E\ifpgfplots@update@limits@for@one@point@ISCLIPPED
+ \E\else
+ \ifpgfplots@autocompute@xmin
+ \ifpgfplots@xislinear
+ \E\pgfplotsmathfloatmin{\E\pgfplots@xmin}{\E\pgfplots@current@point@x}%
+ \E\global\E\let\E\pgfplots@xmin=\E\pgfmathresult
+ \else
+ \E\pgfplotsmathmin{\E\pgfplots@xmin}{\E\pgfplots@current@point@x}%
+ \E\global\E\let\E\pgfplots@xmin=\E\pgfmathresult
+ \fi
+ \fi
+ \ifpgfplots@autocompute@xmax
+ \ifpgfplots@xislinear
+ \E\pgfplotsmathfloatmax{\E\pgfplots@xmax}{\E\pgfplots@current@point@x}%
+ \E\global\E\let\E\pgfplots@xmax=\E\pgfmathresult
+ \else
+ \E\pgfplotsmathmax{\E\pgfplots@xmax}{\E\pgfplots@current@point@x}%
+ \E\global\E\let\E\pgfplots@xmax=\E\pgfmathresult
+ \fi
+ \fi
+ \ifpgfplots@autocompute@ymin
+ \ifpgfplots@yislinear
+ \E\pgfplotsmathfloatmin{\E\pgfplots@ymin}{\E\pgfplots@current@point@y}%
+ \E\global\E\let\E\pgfplots@ymin=\E\pgfmathresult
+ \else
+ \E\pgfplotsmathmin{\E\pgfplots@ymin}{\E\pgfplots@current@point@y}%
+ \E\global\E\let\E\pgfplots@ymin=\E\pgfmathresult
+ \fi
+ \fi
+ \ifpgfplots@autocompute@ymax
+ \ifpgfplots@yislinear
+ \E\pgfplotsmathfloatmax{\E\pgfplots@ymax}{\E\pgfplots@current@point@y}%
+ \E\global\E\let\E\pgfplots@ymax=\E\pgfmathresult
+ \else
+ \E\pgfplotsmathmax{\E\pgfplots@ymax}{\E\pgfplots@current@point@y}%
+ \E\global\E\let\E\pgfplots@ymax=\E\pgfmathresult
+ \fi
+ \fi
+ \ifpgfplots@curplot@threedim
+ \ifpgfplots@autocompute@zmin
+ \ifpgfplots@zislinear
+ \E\pgfplotsmathfloatmin{\E\pgfplots@zmin}{\E\pgfplots@current@point@z}%
+ \E\global\E\let\E\pgfplots@zmin=\E\pgfmathresult
+ \else
+ \E\pgfplotsmathmin{\E\pgfplots@zmin}{\E\pgfplots@current@point@z}%
+ \E\global\E\let\E\pgfplots@zmin=\E\pgfmathresult
+ \fi
+ \fi
+ \ifpgfplots@autocompute@zmax
+ \ifpgfplots@zislinear
+ \E\pgfplotsmathfloatmax{\E\pgfplots@zmax}{\E\pgfplots@current@point@z}%
+ \E\global\E\let\E\pgfplots@zmax=\E\pgfmathresult
+ \else
+ \E\pgfplotsmathmax{\E\pgfplots@zmax}{\E\pgfplots@current@point@z}%
+ \E\global\E\let\E\pgfplots@zmax=\E\pgfmathresult
+ \fi
+ \fi
+ \fi
+ \E\fi
+ %
+ % Compute data range:
+ \ifpgfplots@autocompute@all@limits
+ % the data range will be acquired simply from the axis
+ % range, see below!
+ \else
+ % Attention: it is only done for linear axis!
+ \ifpgfplots@xislinear
+ \E\pgfplotsmathfloatmin{\E\pgfplots@data@xmin}{\E\pgfplots@current@point@x}%
+ \E\global\E\let\E\pgfplots@data@xmin=\E\pgfmathresult
+ \E\pgfplotsmathfloatmax{\E\pgfplots@data@xmax}{\E\pgfplots@current@point@x}%
+ \E\global\E\let\E\pgfplots@data@xmax=\E\pgfmathresult
+ \fi
+ \ifpgfplots@yislinear
+ \E\pgfplotsmathfloatmin{\E\pgfplots@data@ymin}{\E\pgfplots@current@point@y}%
+ \E\global\E\let\E\pgfplots@data@ymin=\E\pgfmathresult
+ \E\pgfplotsmathfloatmax{\E\pgfplots@data@ymax}{\E\pgfplots@current@point@y}%
+ \E\global\E\let\E\pgfplots@data@ymax=\E\pgfmathresult
+ \fi
+ \ifpgfplots@curplot@threedim
+ \ifpgfplots@zislinear
+ \E\pgfplotsmathfloatmin{\E\pgfplots@data@zmin}{\E\pgfplots@current@point@z}%
+ \E\global\E\let\E\pgfplots@data@zmin=\E\pgfmathresult
+ \E\pgfplotsmathfloatmax{\E\pgfplots@data@zmax}{\E\pgfplots@current@point@z}%
+ \E\global\E\let\E\pgfplots@data@zmax=\E\pgfmathresult
+ \fi
+ \fi
+ \fi
+%\E\pgfplots@message{Updated limits: (\E\pgfplots@xmin,\E\pgfplots@ymin) rectangle (\E\pgfplots@xmax,\E\pgfplots@ymax).}%
+%\E\tracingmacros=0\E\tracingcommands=0
+ }%
+%\message{Assembled update-limits macro to {\meaning\pgfplots@update@limits@for@one@point}}%
+ \ifpgfplots@bb@isactive
+ \else
+ % we are inside of
+ % \pgfplotsinterruptdatabb
+ % ..
+ % \endpgfinterruptboundingbox
+ % -> don't change data limits!
+ \global\let\pgfplots@update@limits@for@one@point=\relax
+ \fi
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ %
+ % This here is the MAIN code of \pgfplots@process@one@point .
+ % It is inserted below into the right, into one of two prepared
+ % places.
+ \def\pgfplots@loc@TMPa{%
+ \ifpgfplots@apply@datatrafo
+ \ifpgfplots@datascaletrafo@initialised
+ % apply data transformation directly.
+ \ifpgfplots@apply@datatrafo@x
+ \E\pgfplots@datascaletrafo@x\E\pgfplots@current@point@x
+ \E\let\E\pgfplots@current@point@x=\E\pgfmathresult
+ \fi
+ \ifpgfplots@apply@datatrafo@y
+ \E\pgfplots@datascaletrafo@y\E\pgfplots@current@point@y
+ \E\let\E\pgfplots@current@point@y=\E\pgfmathresult
+ \fi
+ \ifpgfplots@curplot@threedim
+ \ifpgfplots@apply@datatrafo@z
+ \E\pgfplots@datascaletrafo@z\E\pgfplots@current@point@z
+ \E\let\E\pgfplots@current@point@z=\E\pgfmathresult
+ \fi
+ \fi
+ \fi
+ \fi
+ % All following routines (limit updating/stacking/error
+ % bars) will use float numerics if necessary (controlled
+ % by ifs).
+ \ifpgfplots@stackedmode
+ \E\pgfplots@stacked@preparepoint@inmacro%
+ \ifpgfplots@datascaletrafo@initialised% is also true if there is no scale trafo.
+ \E\pgfplots@stacked@finishpoint
+ \else
+ % the finishpoint routine will be invoked at
+ % \endaxis.
+ \fi
+ \fi
+ %
+ % Prepare \pgfplots@current@point@meta (see the preparation
+ % routine above):
+ \E\pgfplots@set@perpointmeta
+ %
+ % update also axis / data limits:
+ % Arguments: \pgfplots@current@point@[xy]
+ \E\pgfplots@update@limits@for@one@point
+ \ifpgfplots@errorbars@enabled
+ % This thing gets the 'current@point@...' context,
+ % that means
+ % \pgfplots@current@point@[xy]
+ % \pgfplots@current@point@[xy]@error
+ % \pgfplots@current@point@[xy]@unfiltered
+ \E\pgfplots@process@errorbar@for%
+ \fi
+ %
+ % Store normalized point for list:
+ % We need
+ % xi,yi,zi,mi;
+ % where zi and mi may be empty. mi is the per-point meta
+ % information. It is used for per-coordinate marker
+ % modifications (like colormaps for scatter plots).
+ \E\edef\E\pgfplots@loc@TMPa{\E\pgfplots@current@point@x,\E\pgfplots@current@point@y,\E\pgfplots@current@point@z,\E\pgfplots@current@point@meta;}%
+ \E\expandafter\E\pgfplotsapplistXXpushback\E\expandafter{\E\pgfplots@loc@TMPa}%
+ %
+ \ifpgfplots@collect@firstplot@astick
+ \ifnum\pgfplots@numplots=0
+ \E\ifx\E\pgfplots@firstplot@coords@x\E\pgfutil@empty
+ \E\t@pgfplots@tokc={}%
+ \E\else
+ \E\t@pgfplots@tokc=\E\expandafter{\E\pgfplots@firstplot@coords@x,}%
+ \E\fi
+ \E\xdef\E\pgfplots@firstplot@coords@x{\E\the\E\t@pgfplots@tokc\E\pgfplots@current@point@x}%
+ \E\ifx\E\pgfplots@firstplot@coords@y\E\pgfutil@empty
+ \E\t@pgfplots@tokc={}%
+ \E\else
+ \E\t@pgfplots@tokc=\E\expandafter{\E\pgfplots@firstplot@coords@y,}%
+ \E\fi
+ \E\xdef\E\pgfplots@firstplot@coords@y{\E\the\E\t@pgfplots@tokc\E\pgfplots@current@point@y}%
+ %
+ \ifpgfplots@curplot@threedim
+ \E\ifx\E\pgfplots@firstplot@coords@z\E\pgfutil@empty
+ \E\t@pgfplots@tokc={}%
+ \E\else
+ \E\t@pgfplots@tokc=\E\expandafter{\E\pgfplots@firstplot@coords@z,}%
+ \E\fi
+ \E\xdef\E\pgfplots@firstplot@coords@z{\E\the\E\t@pgfplots@tokc\E\pgfplots@current@point@z}%
+ \fi
+ \fi
+ \fi
+ }%
+ % The following code assembles the command which is executed for
+ % each coordinate.
+ %
+ % To eliminate all those case distinctions, it is created with
+ % 'edef' and a lot of '\noexpand' calls here:
+ %
+ % Arguments:
+ % \pgfplots@current@point@[xyz]
+ % \pgfplots@current@point@[xyz]@error (if in argument list)
+ \xdef\pgfplots@process@one@point{%
+ % These things are necessary for error bars:
+ \E\let\E\pgfplots@current@point@x@unfiltered=\E\pgfplots@current@point@x
+ \E\let\E\pgfplots@current@point@y@unfiltered=\E\pgfplots@current@point@y
+ \ifpgfplots@curplot@threedim
+ \E\let\E\pgfplots@current@point@z@unfiltered=\E\pgfplots@current@point@z
+ \fi
+ %
+ \E\pgfplots@prepare@xcoord{\E\pgfplots@current@point@x}%
+ \E\expandafter\E\pgfplots@invoke@filter\E\expandafter{\E\pgfmathresult}{x}%
+ \E\let\E\pgfplots@current@point@x=\E\pgfmathresult
+ %
+ \E\pgfplots@prepare@ycoord{\E\pgfplots@current@point@y}%
+ \E\expandafter\E\pgfplots@invoke@filter\E\expandafter{\E\pgfmathresult}{y}%
+ \E\let\E\pgfplots@current@point@y=\E\pgfmathresult
+ %
+ \ifpgfplots@xislinear
+ \E\ifx\E\pgfplots@current@point@x\E\pgfutil@empty
+ \E\else
+ \E\pgfmathfloatparsenumber{\E\pgfplots@current@point@x}%
+ \E\expandafter\E\pgfmathfloat@decompose@F\E\pgfmathresult\E\relax\E\c@pgf@counta
+ \E\ifnum\E\c@pgf@counta>2
+ \E\let\E\pgfplots@current@point@x=\E\pgfutil@empty
+ \E\else
+ \E\let\E\pgfplots@current@point@x=\E\pgfmathresult
+ \E\fi
+ \E\fi
+ \fi
+ %
+ \ifpgfplots@yislinear
+ \E\ifx\E\pgfplots@current@point@y\E\pgfutil@empty
+ \E\else
+ \E\pgfmathfloatparsenumber{\E\pgfplots@current@point@y}%
+ \E\expandafter\E\pgfmathfloat@decompose@F\E\pgfmathresult\E\relax\E\c@pgf@counta
+ \E\ifnum\E\c@pgf@counta>2
+ \E\let\E\pgfplots@current@point@y=\E\pgfutil@empty
+ \E\else
+ \E\let\E\pgfplots@current@point@y=\E\pgfmathresult
+ \E\fi
+ \E\fi
+ \fi
+ %
+ \ifpgfplots@curplot@threedim
+ \E\let\E\pgfplots@current@point@z@unfiltered=\E\pgfplots@current@point@z
+ \E\pgfplots@prepare@zcoord{\E\pgfplots@current@point@z}%
+ \E\expandafter\E\pgfplots@invoke@filter\E\expandafter{\E\pgfmathresult}{z}%
+ \E\let\E\pgfplots@current@point@z=\E\pgfmathresult
+ %
+ \ifpgfplots@zislinear
+ \E\ifx\E\pgfplots@current@point@z\E\pgfutil@empty
+ \E\else
+ \E\pgfmathfloatparsenumber{\E\pgfplots@current@point@z}%
+ \E\expandafter\E\pgfmathfloat@decompose@F\E\pgfmathresult\E\relax\E\c@pgf@counta
+ \E\ifnum\E\c@pgf@counta>2
+ \E\let\E\pgfplots@current@point@z=\E\pgfutil@empty
+ \E\else
+ \E\let\E\pgfplots@current@point@z=\E\pgfmathresult
+ \E\fi
+ \E\fi
+ \fi
+ \fi
+ %
+ \E\ifx\E\pgfplots@current@point@x\E\pgfutil@empty
+ \ifpgfplots@warn@for@filter@discards
+ \E\pgfplots@message{NOTE: coordinate (\E\pgfplots@current@point@x@unfiltered,\E\pgfplots@current@point@y@unfiltered\ifpgfplots@curplot@threedim,\E\pgfplots@current@point@z@unfiltered\fi) has been dropped because of the x-coordinate filter.}%
+ \fi
+ \E\else
+ \E\ifx\E\pgfplots@current@point@y\E\pgfutil@empty
+ \ifpgfplots@warn@for@filter@discards
+ \E\pgfplots@message{NOTE: coordinate (\E\pgfplots@current@point@x@unfiltered,\E\pgfplots@current@point@y@unfiltered\ifpgfplots@curplot@threedim,\E\pgfplots@current@point@z@unfiltered\fi) has been dropped because of the y-coordinate filter.}%
+ \fi
+ \E\else
+ \ifpgfplots@curplot@threedim
+ \E\ifx\E\pgfplots@current@point@z\E\pgfutil@empty
+ \ifpgfplots@warn@for@filter@discards
+ \E\pgfplots@message{NOTE: coordinate (\E\pgfplots@current@point@x@unfiltered,\E\pgfplots@current@point@y@unfiltered,\E\pgfplots@current@point@z@unfiltered) has been dropped because of the z-coordinate filter.}%
+ \fi
+ \E\else
+ % insert the main 3d code here:
+ \pgfplots@loc@TMPa
+ \E\fi
+ \else
+ % insert the main 2d code here:
+ \pgfplots@loc@TMPa
+ \fi
+ \E\fi
+ \E\fi
+ %
+ % increase \pgfplots@current@point@coordindex:
+ \E\begingroup
+ \E\c@pgf@counta=\E\pgfplots@current@point@coordindex
+ \E\advance\E\c@pgf@counta by1\E\relax
+ \E\xdef\E\pgfplots@glob@TMPc{\E\the\E\c@pgf@counta}%
+ \E\endgroup
+ \E\let\E\pgfplots@current@point@coordindex=\E\pgfplots@glob@TMPc
+ }%
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \endgroup
+%\message{Prepared macro \string\pgfplots@update@limits@for@one@point: {\meaning\pgfplots@update@limits@for@one@point}}%
+%\message{Prepared macro \string\pgfplots@process@one@point: {\meaning\pgfplots@process@one@point}}%
+ \let\pgfplots@coord@stream@coord@=\pgfplots@process@one@point
+ %
+ \def\pgfplots@coord@stream@end@{%
+ \ifpgfplots@autocompute@all@limits
+ \global\let\pgfplots@data@xmin=\pgfplots@xmin
+ \global\let\pgfplots@data@xmax=\pgfplots@xmax
+ \global\let\pgfplots@data@ymin=\pgfplots@ymin
+ \global\let\pgfplots@data@ymax=\pgfplots@ymax
+ \global\let\pgfplots@data@zmin=\pgfplots@zmin
+ \global\let\pgfplots@data@zmax=\pgfplots@zmax
+ \fi
+ \ifpgfplots@errorbars@enabled
+ \pgfplots@streamerrorbarend
+ \fi
+ \ifpgfplots@stackedmode
+ \pgfplots@stacked@endplot
+ \fi
+ \ifpgfplots@coord@stream@isfirst
+ \pgfplots@warning{the current plot has no coordinates (left?)}%
+ \fi
+% \else
+ % Idea: use
+ % \scope[plot specification]
+ % <any paths for error bars>
+ % \endscope
+ % \draw plot coordinates {...};
+ % to share plot specifications between error bars and plot
+ % coordinates. Unfortunately, it is NOT sufficient to use
+ % \tikzset{#1}
+ \ifpgfplots@curplot@isirrelevant
+ \edef\pgfplots@addplot@preoptionsTMP{/pgfplots/every axis plot,/pgfplots/every forget plot/.try}%
+ \else
+ \edef\pgfplots@addplot@preoptionsTMP{/pgfplots/every axis plot,/pgfplots/every axis plot no \the\pgfplots@numplots/.try}%
+ \expandafter\pgfplots@rememberplotspec\expandafter{\pgfplots@addplot@preoptionsTMP,#1,/pgfplots/every axis plot post}%
+ \fi
+ % warning: rememberplotspec calls list macros which
+ % overwrite \t@pgfplots@toka
+ \t@pgfplots@toka=\expandafter{\pgfplots@addplot@preoptionsTMP,#1,/pgfplots/every axis plot post}%
+ \xdef\pgfplots@last@plot@style{\the\t@pgfplots@toka}% store it for \label commands.
+ % ATTENTION: do NOT call list macros from here on!
+ %
+ \ifpgfplots@datascaletrafo@initialised
+ \pgfplots@addplot@get@named@startendpoints@command\pgfplots@loc@TMPa
+ \t@pgfplots@tokc=\expandafter{\pgfplots@loc@TMPa}%
+ \else
+ \t@pgfplots@tokc={}%
+ \fi
+ % assembe a \pgfplots@addplot@enqueue@coords command ...
+ % BEGIN HERE ...
+ % vvvvvvvvvv
+ \xdef\pgfplots@glob@TMPa{%
+ \noexpand\pgfplots@addplot@enqueue@coords
+ {% precommand(s):
+ \expandafter\noexpand\csname pgfplots@curplot@threedim\ifpgfplots@curplot@threedim true\else false\fi\endcsname
+ \noexpand\def\noexpand\plotnum{\the\pgfplots@numplots}%
+ \noexpand\pgfplots@initzerolevelhandler
+ \the\t@pgfplots@tokc% named start/end points (if already available)
+ \noexpand\pgfkeysdef{/tikz/current plot style}{\noexpand\pgfkeysalso{\the\t@pgfplots@toka}}%
+ % per-point meta data ranges:
+ \noexpand\xdef\noexpand\pgfplots@metamin{\pgfplots@metamin}%
+ \noexpand\xdef\noexpand\pgfplots@metamax{\pgfplots@metamax}%
+ \ifpgfplots@perpointmeta@usesfloat
+ \noexpand\pgfplots@perpointmeta@usesfloattrue
+ \else
+ \noexpand\pgfplots@perpointmeta@usesfloatfalse
+ \fi
+ \noexpand\def\noexpand\pgfplots@perpointmeta@choice{\pgfplots@perpointmeta@choice}%
+ }%
+ {% draw command:
+ \noexpand\draw%
+ }%
+ }%
+ \pgfplotsapplistXXlet\pgfplots@coord@stream@recorded
+ \pgfplotsapplistXXclear
+ \t@pgfplots@tokc=\expandafter{\pgfplots@coord@stream@recorded}%
+ \t@pgfplots@tokb={#2;}%
+ \t@pgfplots@toka=\expandafter{\pgfplots@glob@TMPa}%
+ \xdef\pgfplots@glob@TMPa{%
+ \the\t@pgfplots@toka
+ {% coordinates which need to be processed in \endaxis:
+ normalized coordinates {\the\t@pgfplots@tokc}\the\t@pgfplots@tokb
+ }%
+ }%
+ %
+ % Ok, now assemble the POST COMMANDS. Error bar
+ % commands will be append here (if any)
+ \ifx\pgfplots@recordederrorbar\pgfutil@empty
+ \pgfplots@glob@TMPa
+ {%
+ % Post commands are empty here.
+ }%
+ \else
+ \t@pgfplots@toka=\expandafter{\pgfplots@glob@TMPa}%
+ \t@pgfplots@tokb=\expandafter{\pgfplots@recordederrorbar}%
+ \def\pgfplots@loc@TMPb{%
+ \noexpand\pgfplots@errorbars@finishwithstyleoptions[current plot style]{\the\t@pgfplots@tokb}%
+ }%
+ \xdef\pgfplots@glob@TMPa{
+ \the\t@pgfplots@toka
+ {
+ % Post commands: append error bar commands.
+ \pgfplots@loc@TMPb
+ }%
+ }%
+ \pgfplots@glob@TMPa
+ \fi
+ %^^^^^^^^^^^^ ... END of \pgfplots@addplot@enqueue@coords HERE
+% \fi
+ \pgfplots@end@plot
+ }%
+}%
+
+% Defines the linear transformation macro \pgfplots@perpointmeta@trafo,
+%
+% phi : [meta_min,meta,max] -> [0,10^k]
+%
+% which operates on the per-point meta data (if any).
+% The trafo will be skipped if there is no such data.
+%
+% The trafo is expected to prepare meta information before it is used
+% as input to \pgfplotscolormapfind. Thus, the 10^k is chosen to be
+% the same as \pgfplotscolormaprange (which is 1000 per default).
+%
+% If there is now data range (for example because meta information is
+% not available or is not of numeric type), the trafo will simply
+% copy the input argument symbolically.
+\def\pgfplots@perpointmeta@preparetrafo{%
+ \ifx\pgfplots@metamax\pgfutil@empty
+ \def\pgfplots@perpointmeta@trafo##1{\def\pgfmathresult{##1}}%
+ \def\pgfplots@perpointmeta@traforange{0:0}%
+ \else
+ % The transformation is
+ %
+ % phi(m) = ( m- meta_min) * 1000/ (meta_max-meta_min).
+ %
+ % -> precompute the scaling factor!
+ \ifpgfplots@perpointmeta@usesfloat
+ \edef\pgfplots@loc@TMPa{\pgfplotscolormaprange}%
+ \ifnum\pgfplots@loc@TMPa=1000
+ \else
+ \pgfplots@error{LOGIC ERROR: sorry, I have hard-coded the assumption \string\pgfplotscolormaprange = 1000, but now it is \pgfplots@loc@TMPa.}%
+ \fi
+ \pgfmathfloatsubtract@{\pgfplots@metamax}{\pgfplots@metamin}%
+ \let\pgfplots@loc@TMPa=\pgfmathresult
+ \pgfmathfloatcreate{1}{1.0}{3}%
+ \expandafter\pgfmathfloatdivide@\expandafter{\pgfmathresult}{\pgfplots@loc@TMPa}%
+ \let\pgfplots@perpointmeta@trafo@factor=\pgfmathresult
+ %
+ % Now, setup the trafo as such.
+ % It assigns \pgfmathresult (in fixed point).
+ \def\pgfplots@perpointmeta@trafo##1{%
+ \pgfmathfloatsubtract@{##1}{\pgfplots@metamin}%
+ \expandafter\pgfmathfloatmultiply@\expandafter{\pgfmathresult}{\pgfplots@perpointmeta@trafo@factor}%
+ \expandafter\pgfmathfloattofixed@\expandafter{\pgfmathresult}%
+ }%
+ % Expands to the transformation range as 'a:b':
+ \def\pgfplots@perpointmeta@traforange{0:1000}%
+ \else
+ \edef\pgfplots@loc@TMPa{\pgfplotscolormaprange}%
+ \ifnum\pgfplots@loc@TMPa=1000
+ \else
+ \pgfplots@error{LOGIC ERROR: sorry, I have hard-coded the assumption \string\pgfplotscolormaprange = 1000, but now it is \pgfplots@loc@TMPa.}%
+ \fi
+ \pgfmathsubtract@{\pgfplots@metamax}{\pgfplots@metamin}%
+ \let\pgfplots@loc@TMPa=\pgfmathresult
+ \expandafter\pgfmathdivide@\expandafter{\pgfplotscolormaprange}{\pgfplots@loc@TMPa}%
+ \let\pgfplots@perpointmeta@trafo@factor=\pgfmathresult
+ %
+ % Now, setup the trafo as such.
+ % It assigns \pgfmathresult (in fixed point).
+ \def\pgfplots@perpointmeta@trafo##1{%
+ \pgfmathsubtract@{##1}{\pgfplots@metamin}%
+ \expandafter\pgfmathmultiply@\expandafter{\pgfmathresult}{\pgfplots@perpointmeta@trafo@factor}%
+ }%
+ % Expands to the transformation range as 'a:b':
+ \def\pgfplots@perpointmeta@traforange{0:1000}%
+ \fi
+ \fi
+}%
+
+% A looping method which applies
+% \pgfplots@coord@stream@start
+% for each coordinate '(x,y)' or '(x,y) +- (ex,ey)',
+% assign \pgfplots@current@point@[xyz]
+% assign \pgfplots@current@point@[xyz]@error (if in argument list)
+% assign \pgfplots@current@point@meta
+% call \pgfplots@coord@stream@coord
+% \pgfplots@coord@stream@end
+%
+% #1 a sequence of coordinates of the form
+% '(x,y)' or '(x,y,z)'
+% or
+% '(x,y[,z]) +- (ex,ey)'
+% or
+% '(x,y) [meta]'
+% or
+% '(x,y) +- (ex,ey) [meta]'
+% separated by white-space.
+%
+% The per-point meta is not implemented yet.
+\long\def\pgfplots@coord@stream@foreach#1{%
+ \pgfplots@coord@stream@start
+ \pgfplots@foreach@plot@coord@ITERATE#1\pgfplots@EOI%
+ \pgfplots@coord@stream@end
+}%
+
+% A looping command to loop through plot coordinates.
+% For every point, #1{X}{Y} will be invoked.
+%
+% No scoping is used during this operation, so you can access outer
+% variables.
+\def\pgfplots@foreach@plot@coord@ITERATE{%
+ \pgfutil@ifnextchar\pgfplots@EOI{%
+ \pgfplots@foreach@plot@coord@FINISH%
+ }{%
+ \pgfutil@ifnextchar\par{%
+ \pgfplots@foreach@plot@coord@ITERATE@gobbleone
+ }{%
+ \pgfutil@ifnextchar({%
+ \pgfplots@foreach@plot@coord@NEXT%
+ }{%
+ \pgfplots@foreach@plot@coord@error
+ }%
+ }%
+ }%
+}
+\long\def\pgfplots@foreach@plot@coord@error#1\pgfplots@EOI{%
+ \pgfplots@error{Sorry, I could not read the plot coordinates near '#1'. Please check for format mistakes.}%
+}%
+\long\def\pgfplots@foreach@plot@coord@ITERATE@gobbleone#1{\pgfplots@foreach@plot@coord@ITERATE}%
+\def\pgfplots@foreach@plot@coord@NEXT(#1,#2){%
+ \def\pgfplots@current@point@x{#1}%
+ \def\pgfplots@current@point@y{#2}%
+ \pgfutil@ifnextchar+{%
+ \pgfplots@foreach@plot@coord@NEXT@WITH@ERRORRANGE%
+ }{%
+ \let\pgfplots@current@point@x@error=\pgfutil@empty
+ \let\pgfplots@current@point@y@error=\pgfutil@empty
+ \pgfutil@ifnextchar[{%
+ \pgfplots@foreach@plot@coord@NEXT@meta
+ }{%
+ \let\pgfplots@current@point@meta=\pgfutil@empty
+ \pgfplots@coord@stream@coord
+ \pgfplots@foreach@plot@coord@ITERATE
+ }%
+ }%
+}
+\def\pgfplots@foreach@plot@coord@NEXT@meta[#1]{%
+ \def\pgfplots@current@point@meta{#1}%
+ \pgfplots@coord@stream@coord
+ \pgfplots@foreach@plot@coord@ITERATE
+}%
+% processing something like '(x,y) +- (error_x,error_y)'
+\def\pgfplots@foreach@plot@coord@NEXT@WITH@ERRORRANGE+-#1({%
+ \pgfplots@foreach@plot@coord@NEXT@WITH@ERRORRANGE@%
+}
+\def\pgfplots@foreach@plot@coord@NEXT@WITH@ERRORRANGE@#1,#2){%
+ \def\pgfplots@current@point@x@error{#1}%
+ \def\pgfplots@current@point@y@error{#2}%
+ \pgfutil@ifnextchar[{%
+ \pgfplots@foreach@plot@coord@NEXT@meta
+ }{%
+ \let\pgfplots@current@point@meta=\pgfutil@empty
+ \pgfplots@coord@stream@coord
+ \pgfplots@foreach@plot@coord@ITERATE
+ }%
+}
+\def\pgfplots@foreach@plot@coord@FINISH\pgfplots@EOI{}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
+% The same for three dim coords:
+\long\def\pgfplots@coord@stream@foreach@threedim#1{%
+ \pgfplots@coord@stream@start
+ \pgfplots@foreach@plot@coord@threedim@ITERATE#1\pgfplots@EOI%
+ \pgfplots@coord@stream@end
+}%
+\def\pgfplots@foreach@plot@coord@threedim@ITERATE{%
+ \pgfutil@ifnextchar\pgfplots@EOI{%
+ \pgfplots@foreach@plot@coord@FINISH%
+ }{%
+ \pgfutil@ifnextchar\par{%
+ \pgfplots@foreach@plot@coord@threedim@ITERATE@gobbleone
+ }{%
+ \pgfutil@ifnextchar({%
+ \pgfplots@foreach@plot@coord@threedim@NEXT%
+ }{%
+ \pgfplots@foreach@plot@coord@error
+ }%
+ }%
+ }%
+}
+\long\def\pgfplots@foreach@plot@coord@threedim@ITERATE@gobbleone#1{\pgfplots@foreach@plot@coord@threedim@ITERATE}%
+\def\pgfplots@foreach@plot@coord@threedim@NEXT(#1,#2,#3){%
+ \def\pgfplots@current@point@x{#1}%
+ \def\pgfplots@current@point@y{#2}%
+ \def\pgfplots@current@point@z{#3}%
+ \pgfutil@ifnextchar+{%
+ \pgfplots@foreach@plot@coord@threedim@NEXT@WITH@ERRORRANGE%
+ }{%
+ \let\pgfplots@current@point@x@error=\pgfutil@empty
+ \let\pgfplots@current@point@y@error=\pgfutil@empty
+ \let\pgfplots@current@point@z@error=\pgfutil@empty
+ \pgfutil@ifnextchar[{%
+ \pgfplots@foreach@plot@coord@threedim@NEXT@meta
+ }{%
+ \let\pgfplots@current@point@meta=\pgfutil@empty
+ \pgfplots@coord@stream@coord
+ \pgfplots@foreach@plot@coord@threedim@ITERATE
+ }%
+ }%
+}
+\def\pgfplots@foreach@plot@coord@threedim@NEXT@meta[#1]{%
+ \def\pgfplots@current@point@meta{#1}%
+ \pgfplots@coord@stream@coord
+ \pgfplots@foreach@plot@coord@threedim@ITERATE
+}%
+% processing something like '(x,y) +- (error_x,error_y)'
+\def\pgfplots@foreach@plot@coord@threedim@NEXT@WITH@ERRORRANGE+-#1({%
+ \pgfplots@foreach@plot@coord@threedim@NEXT@WITH@ERRORRANGE@%
+}
+\def\pgfplots@foreach@plot@coord@threedim@NEXT@WITH@ERRORRANGE@#1,#2,#3){%
+ \def\pgfplots@current@point@x@error{#1}%
+ \def\pgfplots@current@point@y@error{#2}%
+ \def\pgfplots@current@point@z@error{#3}%
+ \pgfutil@ifnextchar[{%
+ \pgfplots@foreach@plot@coord@threedim@NEXT@meta
+ }{%
+ \let\pgfplots@current@point@meta=\pgfutil@empty
+ \pgfplots@coord@stream@coord
+ \pgfplots@foreach@plot@coord@threedim@ITERATE
+ }%
+}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
+%
+% The same in normalized coordinates of the form
+% x1,y1,z1,m1;x2,y2,z2,m2;...;xN,yN,zN,mN;
+% if the plot is not threedim, zi is empty.
+%
+% The mi are Meta Values associated to point coordinates. They are
+% usually empty, but can be used to realize per-point marker
+% modifications (scatter plots, especially for colormaps).
+\long\def\pgfplots@coord@stream@foreach@NORMALIZED#1{%
+ \pgfplots@coord@stream@start
+ \pgfplots@foreach@plot@coord@NORMALIZED@ITERATE#1\pgfplots@EOI
+ \pgfplots@coord@stream@end
+}%
+
+% A looping command to loop through plot coordinates.
+% For every point, #1{X}{Y} will be invoked.
+%
+% No scoping is used during this operation, so you can access outer
+% variables.
+\def\pgfplots@foreach@plot@coord@NORMALIZED@ITERATE{%
+ \pgfutil@ifnextchar\pgfplots@EOI{%
+ \pgfplots@foreach@plot@coord@FINISH%
+ }{%
+ \pgfplots@foreach@plot@coord@NORMALIZED@NEXT%
+ }%
+}
+\def\pgfplots@foreach@plot@coord@NORMALIZED@NEXT#1,#2,#3,#4;{%
+ \def\pgfplots@current@point@x{#1}%
+ \def\pgfplots@current@point@y{#2}%
+ \def\pgfplots@current@point@z{#3}%
+ \def\pgfplots@current@point@meta{#4}%
+ \pgfplots@coord@stream@coord
+ \pgfplots@foreach@plot@coord@NORMALIZED@ITERATE
+}
+
+
+\newif\ifpgfplots@curplot@threedim
+
+% The main interface to draw a plot into an axis.
+%
+% Usage:
+% \addplot
+% plot coordinates {
+% (0,0)
+% (1,1)
+% };
+%
+% or
+%
+% \addplot[color=blue,mark=*]
+% plot coordinates {
+% (0,0)
+% (1,1)
+% };
+%
+% or one of the other input types.
+%
+% The first syntax will use the next plot specification in the list
+% \autoplotspeclist
+% and the first will use blue color and * markers.
+%
+% \addplot [<style options>] plot[<behavior options>] <input type and args> <post plot path> ;
+% \addplot3[<style options>] plot[<behavior options>] <input type and args> <post plot path> ;
+%
+% The complete accumulation is done GLOBALLY. It should be safe to put
+% '\addplot' into local groups.
+%
+%
+% The linespec. will be used in the legend.
+%
+% Low-level implementation:
+%
+% \pgfplots@addplot
+% \pgfplots@addplotimpl
+% \pgfplots@start@plot@with@behavioroptions <--- \begingroup
+% ...
+% ... remember options GLOBALLY
+% ... update limits GLOBALLY
+% ... \pgfplots@addplot@enqueue@coords GLOBALLY
+% ...
+% \pgfplots@end@plot <--- \endgroup
+\def\pgfplots@addplot{%
+ \pgfutil@ifnextchar3{%
+ \pgfplots@curplot@threedimtrue
+ \pgfplots@addplot@three
+ }{%
+ \pgfplots@curplot@threedimfalse
+ \pgfplots@addplot@
+ }%
+}
+\def\pgfplots@addplot@three3{\pgfplots@addplot@}%
+\def\pgfplots@addplot@{%
+ \pgfutil@ifnextchar+{%
+ \pgfplots@getautoplotspec into\nextplotspec
+ \pgfplots@addplotimplAPPEND
+ }{%
+ \pgfutil@ifnextchar[{%
+ \pgfplots@addplotimpl%
+ }{%
+ \pgfplots@getautoplotspec into\nextplotspec
+ % the space after ']' is required here:
+ % FIXME:
+ % - \addplot[]plot coordinates is NOT allowed!?
+ \expandafter\pgfplots@addplotimpl\expandafter[\nextplotspec]%
+ }%
+ }%
+}
+
+\long\def\pgfplots@addplotimplAPPEND+[{%
+ \expandafter\pgfplots@addplotimpl\expandafter[\nextplotspec,
+}
+
+\long\def\pgfplots@addplotimpl[#1]{%
+ \pgfutil@ifnextchar p{%
+ \pgfplots@addplotimpl@plot{#1}%
+ }{%
+ \pgfplots@addplotimpl@plot{#1}plot
+ }%
+}
+
+\def\pgfplots@addplotimpl@plot#1plot{%
+ \pgfutil@ifnextchar[{%
+ \pgfplots@addplotimpl@plot@withoptions{#1}%
+ }{%
+ \pgfplots@addplotimpl@plot@withoptions{#1}[]%
+ }%
+}
+
+\def\pgfplots@addplotimpl@plot@withoptions#1[#2]{
+ \begingroup% <-- This groups ends in \pgfplots@end@plot
+ %
+ \pgfutil@ifnextchar c{%
+ \pgfplots@addplotimpl@coordinates{#1}{#2}plot
+ }{%
+ \pgfutil@ifnextchar f{%
+ \pgfplots@addplotimpl@f{#1}{#2}%
+ }{%
+ \pgfutil@ifnextchar t{%
+ \pgfplots@start@plot@with@behavioroptions{#2}%
+ \pgfplots@addplotimpl@table{#1}%
+ }{%
+ \pgfutil@ifnextchar ({%
+ \pgfplots@addplotimpl@expression{#1}{#2}%
+ }{%
+ \pgfutil@ifnextchar\bgroup{%
+ \pgfplots@addplotimpl@expression@curly{#1}{#2}%
+ }{%
+ \pgfutil@ifnextchar e{%
+ \pgfplots@addplotimpl@expression@e{#1}{#2}%
+ }{%
+ \pgfutil@ifnextchar g{%
+ \pgfplots@addplotimpl@gnuplot{#1}{#2}%
+ }{%
+ \pgfplots@error{Sorry, the supplied plot command is unknown or unsupported by pgfplots! Ignoring it.}%
+ \pgfplots@gobble@until@semicolon
+ }%
+ }%
+ }%
+ }%
+ }%
+ }%
+ }%
+}
+\def\pgfplots@addplotimpl@f#1#2f{%
+ \pgfutil@ifnextchar i{%
+ \pgfplots@addplotimpl@file{#1}{#2}%
+ }{%
+ \pgfplots@addplotimpl@function{#1}{#2}%
+ }%
+}%
+
+\def\pgfplots@gobble@until@semicolon#1;{}
+
+% Plot expression. It invokes the pgf math parser and a customized
+% pgfplots point sampling routine. Combined with the 'fixed point
+% library' of pgf, it results in highly accurate plots.
+%
+%
+\long\def\pgfplots@addplotimpl@expression#1#2(#3,#4)#5;{\pgfplots@addplotimpl@expression@{#1}{#2}{#3}{#4}{#5}}%
+% \addplot[#1] [#2] (#3,#4) #5;
+\long\def\pgfplots@addplotimpl@expression@#1#2#3#4#5{%
+ \ifpgfplots@usefpu
+ \def\pgfplots@loc@TMPa{/pgf/fpu=true}%
+ \else
+ \let\pgfplots@loc@TMPa=\pgfutil@empty
+ \fi
+ \expandafter\pgfplots@start@plot@with@behavioroptions\expandafter{\pgfplots@loc@TMPa,#2}%
+ \pgfplots@PREPARE@COORD@STREAM{#1}{#5}%
+ %
+ \pgfplots@validate@plot@domain@arguments
+ \pgfkeysgetvalue{/pgfplots/domain}\pgfplots@plot@domain
+ \pgfkeysgetvalue{/pgfplots/samples at}\pgfplots@plot@samples@at
+ \pgfplots@gettikzinternal@keyval{variable}{tikz@plot@var}{\x}%
+ %
+ % Determine whether the x range is parameterized or uniform and
+ % prepare a macro which assigns \pgfplots@current@point@x:
+ \def\pgfplots@addplotimpl@expression@prepare@x{%
+ \pgfmathparse{#3}%
+ \let\pgfplots@current@point@x=\pgfmathresult
+ }%
+ \def\pgfplots@addplotimpl@expression@hasuniform@x{0}%
+ \def\pgfplots@loc@TMPa{#3}%
+ % do we have '\x' as x coordinate?
+ \expandafter\def\expandafter\pgfplots@loc@TMPb\expandafter{\tikz@plot@var}%
+ \ifx\pgfplots@loc@TMPa\pgfplots@loc@TMPb
+ \def\pgfplots@addplotimpl@expression@hasuniform@x{1}%
+ \else
+ \def\pgfplots@loc@TMPb{x}%
+ % do we have 'x' as x coordinate?
+ \ifx\pgfplots@loc@TMPa\pgfplots@loc@TMPb
+ \def\pgfplots@addplotimpl@expression@hasuniform@x{1}%
+ \fi
+ \fi
+ \if\pgfplots@addplotimpl@expression@hasuniform@x1%
+ % if '#3' is '\x' or 'x', we don't need the math parser -
+ % we can simply take \tikz@plot@var.
+ \def\pgfplots@addplotimpl@expression@prepare@x{%
+ \edef\pgfplots@current@point@x{\tikz@plot@var}%
+ }%
+ \fi
+ %
+ % Define a "function" x which sets \pgfmathresult := \x :
+ \pgfutil@ifundefined{pgfmathdeclarefunction}{%
+ % We have PGF 2.00 :
+ \def\pgfmath@parsefunction@x{\edef\pgfmathresult{\tikz@plot@var}\pgfmath@postfunction}%
+ \def\pgfmath@parsefunction@y{\let\pgfmathresult=\y\pgfmath@postfunction}%
+ }{%
+ % We have PGF > 2.00 :
+ \pgfmathdeclarefunction{x}{0}{\edef\pgfmathresult{\tikz@plot@var}}%
+ \pgfmathdeclarefunction{y}{0}{\let\pgfmathresult=\y}%
+ }%
+ %
+ % Now, prepare the loops.
+ %
+ % I am using \pgfplotsforeachungrouped in favor of
+ % \foreach because \foreach does NOT allow extended
+ % precision. Besided, \pgfplotsforeachungrouped avoids
+ % scoping problems.
+ %
+ \ifpgfplots@curplot@threedim
+ \pgfkeysgetvalue{/pgfplots/y domain}{\pgfplots@plot@ydomain}%
+ \def\pgfplots@addplotimpl@expression@split@yz##1,##3\pgfplots@EOI{%
+ \def\pgfplots@addplotimpl@expression@yEXPR{##1}%
+ \def\pgfplots@addplotimpl@expression@zEXPR{##3}%
+ }%
+ \pgfplots@addplotimpl@expression@split@yz#4\pgfplots@EOI%
+ \ifx\pgfplots@plot@ydomain\pgfutil@empty
+ \def\pgfplots@plot@ydomain{0:0}%
+ \fi
+ \ifx\pgfplots@plot@samples@at\pgfutil@empty
+ % we don't have 'samples at' -> use domain!
+ \expandafter\pgfplots@domain@to@foreach\pgfplots@plot@domain\relax
+ \let\pgfplots@loc@TMPa=\pgfplotslocretval
+ \else
+ % use 'samples at':
+ \let\pgfplots@loc@TMPa=\pgfplots@plot@samples@at
+ \fi
+ \expandafter\pgfplots@domain@to@foreach\pgfplots@plot@ydomain\relax
+ \let\pgfplots@loc@TMPb=\pgfplotslocretval
+ % Assemble a
+ % \pgfplots@plot@data##1 ->
+ % \foreach \x in {-5,-4.6,...,5}
+ % \foreach \y in {-5,-4.6,...,5} {##1};
+ % macro:
+ \edef\pgfplots@plot@data##1{%
+ \noexpand\pgfplotsforeachungrouped\expandafter\noexpand\tikz@plot@var in {\pgfplots@loc@TMPa}
+ {\noexpand\pgfplotsforeachungrouped\noexpand\y in {\pgfplots@loc@TMPb} {##1}}}%
+ \else
+ % Assemble a
+ % \pgfplots@plot@data##1 -> \foreach \x in {-5,-4.6,...,5} {##1} macro:
+ %
+ %
+ % if(
+ % x is logarithmic &&
+ % #3 == '\x' &&
+ % the 'samples at' key has not been used )
+ % -> sample logarithmically!
+ \def\pgfplots@samples@logarithmically{0}%
+ \ifpgfplots@xislinear
+ \else
+ \if\pgfplots@addplotimpl@expression@hasuniform@x1%
+ \ifx\pgfplots@plot@samples@at\pgfutil@empty
+ % we don't have 'samples at' -> use domain!
+ \def\pgfplots@samples@logarithmically{1}%
+ \fi
+ \fi
+ \fi
+ \if\pgfplots@samples@logarithmically1%
+ % sample logarithmically:
+ \edef\pgfplots@plot@data##1{%
+ \noexpand\pgfplotsforeachlogarithmicungrouped
+ \expandafter\noexpand\tikz@plot@var/\noexpand\pgfplots@current@point@x@log
+ in {\pgfplots@plot@domain} {##1}}%
+ % we have a logarithmic sampling sequence,
+ % \pgfplots@current@point@x@log is already available
+ % logarithmic! We can safe time and accuracy for the x
+ % coordinate by using that one instead of computing
+ % log(exp(\x)) numerically:
+ \pgfplots@disablelogfilter@xtrue
+ \def\pgfplots@addplotimpl@expression@prepare@x{%
+ \let\pgfplots@current@point@x=\pgfplots@current@point@x@log
+ }%
+ \pgflibraryfpuifactive
+ {\relax}
+ {%
+ % ok, if the FPU is NOT active, we should return
+ % results as fixed points.
+ % We need to configure that for
+ % \pgfplotsforeachlogarithmicungrouped manually:
+ \pgfplotsforeachlogarithmicformatresultwith{%
+ \pgfmathfloattofixed{\pgfmathresult}%
+ }%
+ }%
+ \else
+ \ifx\pgfplots@plot@samples@at\pgfutil@empty
+ % we don't have 'samples at' -> use domain!
+ \expandafter\pgfplots@domain@to@foreach\pgfplots@plot@domain\relax
+ \let\pgfplots@loc@TMPa=\pgfplotslocretval
+ \else
+ % use 'samples at':
+ \let\pgfplots@loc@TMPa=\pgfplots@plot@samples@at
+ \fi
+ \edef\pgfplots@plot@data##1{
+ \noexpand\pgfplotsforeachungrouped\expandafter\noexpand\tikz@plot@var in {\pgfplots@loc@TMPa} {##1}}%
+ \fi
+ \def\y{0}%
+ \def\pgfplots@addplotimpl@expression@yEXPR{#4}%
+ \def\pgfplots@current@point@z{}%
+ \fi
+ \pgfplots@coord@stream@start
+ \pgfplots@plot@data{%
+ \pgfplots@addplotimpl@expression@prepare@x%
+ \pgfmathparse{\pgfplots@addplotimpl@expression@yEXPR}%
+ \let\pgfplots@current@point@y=\pgfmathresult
+ \ifpgfplots@curplot@threedim
+ \pgfmathparse{\pgfplots@addplotimpl@expression@zEXPR}%
+ \let\pgfplots@current@point@z=\pgfmathresult
+ \fi
+ \pgfplots@coord@stream@coord
+ }%
+ \pgfplots@coord@stream@end
+}%
+% \addplot[#1] [#2] {#3} #4;
+\long\def\pgfplots@addplotimpl@expression@curly#1#2#3#4;{\pgfplots@addplotimpl@expression@curly@{#1}{#2}{#3}{#4}}%
+\long\def\pgfplots@addplotimpl@expression@curly@#1#2#3#4{%
+ \pgfplots@gettikzinternal@keyval{variable}{tikz@plot@var}{\x}%
+ \def\pgfplots@loc@TMPa{\pgfplots@addplotimpl@expression@{#1}{#2}}%
+ \expandafter\pgfplots@loc@TMPa\expandafter{\tikz@plot@var}{#3}{#4}%
+}%
+% \addplot[#1] [#2] expression[#3] {#4} #5;
+\def\pgfplots@addplotimpl@expression@e#1#2expression{%
+ \pgfutil@ifnextchar[{%
+ \pgfplots@addplotimpl@expression@e@{#1}{#2}%
+ }{%
+ \pgfplots@addplotimpl@expression@e@{#1}{#2}[]%
+ }%
+}%
+\def\pgfplots@addplotimpl@expression@e@#1#2[#3]{%
+ \pgfplots@addplotimpl@expression@curly{#1}{#2,#3}%
+}%
+
+
+\let\pgfplots@backupof@pgfplotxyfile=\pgfplotxyfile
+
+% the following code
+% results finally in
+%
+% set format "%.7e";; set samples <...>; plot ...
+%
+% The windows port of gnuplot doesn't run without the second semicolon
+% - for whatever reason.
+{
+ \catcode`\%=12
+ \catcode`\"=12
+ \catcode`\;=12
+ \xdef\pgfplots@gnuplot@format{set format "%.7e";}
+}
+
+% |\addplot gnuplot| is an alias to |\addplot function|
+\def\pgfplots@addplotimpl@gnuplot#1#2gnuplot{\pgfplots@addplotimpl@function{#1}{#2}unction}%
+
+% \addplot[<style options>]
+% plot[<behavior opts>]
+% function[<further behavior opts>]
+% {gnuplot code}
+% #3;
+% #1: args of \addplot[...]
+% #2: optional arguments after function[]
+% #3: gnuplot code to generate coordinates
+% #4: trailing path commands until ';'
+\def\pgfplots@addplotimpl@function#1#2unction{%
+ \pgfutil@ifnextchar[{%
+ \pgfplots@addplotimpl@function@opt{#1}{#2}%
+ }{%
+ \pgfplots@addplotimpl@function@opt{#1}{#2}[]%
+ }%
+}%
+\def\pgfplots@addplotimpl@function@opt#1#2[#3]#4#5;{\pgfplots@addplotimpl@function@opt@{#1}{#2}{#3}{#4}{#5}}%
+% \addplot[#1] [#2] function[#3] {#4} #5;
+\def\pgfplots@addplotimpl@function@opt@#1#2#3#4#5{%
+ \pgfplots@start@plot@with@behavioroptions{%
+ #2,#3}%
+ \pgfplots@gettikzinternal@keyval{prefix}{tikz@plot@prefix}{\jobname.}%
+ \pgfplots@gettikzinternal@keyval{id}{tikz@plot@id}{pgf-plot}%
+ \pgfplots@gettikzinternal@keyval{raw gnuplot}{iftikz@plot@raw@gnuplot}{\iffalse}%
+ \pgfplots@gettikzinternal@keyval{parametric}{iftikz@plot@parametric}{\iffalse}%
+ \pgfplots@validate@plot@domain@arguments
+ \pgfkeysgetvalue{/pgfplots/domain}\pgfplots@plot@domain
+ \pgfkeysgetvalue{/pgfplots/y domain}{\pgfplots@plot@ydomain}%
+ \ifx\pgfplots@plot@domain\pgfutil@empty
+ % this is a potential problem: 'plot gnuplot' doesn't support
+ % the 'samples at' framework which should be in effect now.
+ % -> acquire the /tikz/domain value!
+ \pgfplots@gettikzinternal@keyval{domain}{tikz@plot@domain}{-5:5}%
+ \let\pgfplots@plot@domain=\tikz@plot@domain
+ \fi
+ %
+ \def\pgfplots@plot@filename{\tikz@plot@prefix\tikz@plot@id}%
+ \def\pgfplots@addplotimpl@gnuplotresult@isthreedim@withtwocoords{0}%
+ \iftikz@plot@raw@gnuplot%
+ \def\pgfplots@plot@data{\pgfplotgnuplot[\pgfplots@plot@filename]{#4}}%
+ \else%
+ \def\pgfplots@gnuplot@logdirs{}%
+ \ifpgfplots@xislinear
+ \else
+ \expandafter\def\expandafter\pgfplots@gnuplot@logdirs\expandafter{\pgfplots@gnuplot@logdirs x}%
+ \fi
+ \ifpgfplots@yislinear
+ \else
+ \expandafter\def\expandafter\pgfplots@gnuplot@logdirs\expandafter{\pgfplots@gnuplot@logdirs y}%
+ \fi
+ \ifpgfplots@curplot@threedim
+ \ifpgfplots@zislinear
+ \else
+ \expandafter\def\expandafter\pgfplots@gnuplot@logdirs\expandafter{\pgfplots@gnuplot@logdirs z}%
+ \fi
+ \pgfplots@disablelogfilter@ztrue
+ \fi
+ \pgfplots@disablelogfilter@xtrue
+ \pgfplots@disablelogfilter@ytrue
+ \ifpgfplots@curplot@threedim
+ \ifx\pgfplots@plot@ydomain\pgfutil@empty
+ \pgfplots@error{Sorry, '\string\addplot3 plot function{}' can't be processed correctly because 'y domain' is empty.}%
+ \def\pgfplots@plot@ydomain{0:1}%
+ \fi
+ \fi
+ \def\pgfplots@plot@data{\pgfplotgnuplot[\pgfplots@plot@filename]{%
+ \pgfplots@gnuplot@format;
+ set samples \pgfkeysvalueof{/pgfplots/samples};
+ \ifx\pgfplots@gnuplot@logdirs\pgfutil@empty
+ \else
+ set logscale \pgfplots@gnuplot@logdirs\space 2.71828182845905;
+ \fi
+ \iftikz@plot@parametric set parametric;\fi
+ \ifpgfplots@curplot@threedim
+ splot [x=\pgfplots@plot@domain] [y=\pgfplots@plot@ydomain] #4;%
+ \else
+ plot [x=\pgfplots@plot@domain] #4;%
+ \fi
+ }}%
+ \fi%
+ \def\pgfplotxyfile{\pgfplots@addplotimpl@gnuplotresult{#1}{#5}}%
+ \pgfplots@plot@data
+ \let\pgfplotxyfile=\pgfplots@backupof@pgfplotxyfile
+}%
+
+\def\pgfplots@addplotimpl@gnuplotresult#1#2#3{%
+ \begingroup
+ \openin1=#3
+ \ifeof1
+ \pgfplots@error{Sorry, the gnuplot-result file '#3' could not be found. Maybe you need to enable the shell-escape feature? For pdflatex, this is '>> pdflatex -shell-escape'. You can also invoke '>> gnuplot <file>.gnuplot' manually on the respective gnuplot file.}%
+ \aftergroup\pgfplots@loop@CONTINUEfalse
+ \else
+ \aftergroup\pgfplots@loop@CONTINUEtrue
+ \fi
+ \closein1
+ \endgroup
+ \ifpgfplots@loop@CONTINUE
+ % Now, invoke 'plot file'.
+ %
+ % I invoke the private '@opt@' method because the semicolon ';'
+ % character may cause problems due to catcode mismatches.
+ % *sigh*.
+ \pgfplots@addplotimpl@file@opt@@{#1}{}{#3}{#2}%
+ \else
+ \expandafter\pgfplots@end@plot
+ \fi
+}
+
+% \addplot[#1] [#2] file{#3} #4;
+\def\pgfplots@addplotimpl@file#1#2ile{%
+ \pgfutil@ifnextchar[{%
+ \pgfplots@addplotimpl@file@opt{#1}{#2}%
+ }{%
+ \pgfplots@addplotimpl@file@opt{#1}{#2}[]%
+ }%
+}
+
+% \addplot[#1] [#2] file[#3] {#4} #5;
+\def\pgfplots@addplotimpl@file@opt#1#2[#3]#4#5;{\pgfplots@addplotimpl@file@opt@{#1}{#2}{#3}{#4}{#5}}%
+\def\pgfplots@addplotimpl@file@opt@#1#2#3#4#5{%
+ \pgfplots@start@plot@with@behavioroptions{#2}%
+ \pgfplots@addplotimpl@file@opt@@{#1}{#3}{#4}{#5}%
+}
+\def\pgfplots@addplotimpl@file@opt@@#1#2#3#4{%
+ \begingroup
+ \def\pgfplots@loc@TMPa{#2}%
+ \ifx\pgfplots@loc@TMPa\pgfutil@empty
+ \else
+ \pgfqkeys{/pgfplots/plot file}{#2}%
+ \fi
+ \pgfplots@PREPARE@COORD@STREAM{#1}{#4}%
+ \pgfplots@coord@stream@start
+ \pgfplots@logfileopen{#3}%
+ \openin1=#3
+ \ifeof1
+ \pgfplots@warning{sorry, plot file{#3} could not be opened!?}%
+ \else
+ \let\pgfplots@current@point@x@error=\pgfutil@empty
+ \let\pgfplots@current@point@y@error=\pgfutil@empty
+ \let\pgfplots@current@point@z@error=\pgfutil@empty
+ \ifpgfplots@curplot@threedim
+ \let\pgfplots@addplotimpl@file@parsesingle=\pgfplots@addplotimpl@file@parsesingle@threedim
+ \ifnum\pgfplots@perpointmeta@choice=4
+ \let\pgfplots@addplotimpl@file@parsesingle=\pgfplots@addplotimpl@file@parsesingle@threedim@andmeta
+ \else
+ \ifnum\pgfplots@perpointmeta@choice=5
+ \let\pgfplots@addplotimpl@file@parsesingle=\pgfplots@addplotimpl@file@parsesingle@threedim@andmeta
+ \fi
+ \fi
+ \else
+ \let\pgfplots@addplotimpl@file@parsesingle=\pgfplots@addplotimpl@file@parsesingle@twodim
+ \ifnum\pgfplots@perpointmeta@choice=4
+ \let\pgfplots@addplotimpl@file@parsesingle=\pgfplots@addplotimpl@file@parsesingle@twodim@andmeta
+ \else
+ \ifnum\pgfplots@perpointmeta@choice=5
+ \let\pgfplots@addplotimpl@file@parsesingle=\pgfplots@addplotimpl@file@parsesingle@twodim@andmeta
+ \fi
+ \fi
+ \fi
+ \pgfplots@addplotimpl@file@readall
+ \fi
+ \pgfplots@coord@stream@end
+ \endgroup
+}%
+\def\pgfplots@addplotimpl@file@readall{%
+ \read1 to\pgfplots@file@LINE
+ \expandafter\pgfplotstableread@checkspecial@line\pgfplots@file@LINE\pgfplotstable@EOI
+ \ifpgfplotstableread@skipline
+ \else
+ \ifpgfplots@plot@file@skipfirst
+ % Silently skip first data row, assuming it is a header.
+ \pgfplots@plot@file@skipfirstfalse
+ \else
+ \expandafter\pgfplots@addplotimpl@file@parsesingle\pgfplots@file@LINE\pgfplots@EOI
+ \fi
+ \fi
+ \ifeof1
+ \else
+ \expandafter
+ \pgfplots@addplotimpl@file@readall
+ \fi
+}%
+
+\def\pgfplots@addplotimpl@file@parsesingle@threedim#1 #2 #3 #4\pgfplots@EOI{%
+ \def\pgfplots@current@point@x{#1}%
+ \def\pgfplots@current@point@y{#2}%
+ \def\pgfplots@current@point@z{#3}%
+ \pgfplots@coord@stream@coord%
+}%
+\def\pgfplots@addplotimpl@file@parsesingle@twodim#1 #2 #3\pgfplots@EOI{%
+ \def\pgfplots@current@point@x{#1}%
+ \def\pgfplots@current@point@y{#2}%
+ \pgfplots@coord@stream@coord%
+}%
+\def\pgfplots@addplotimpl@file@parsesingle@threedim@andmeta#1 #2 #3 #4 #5\pgfplots@EOI{%
+ \def\pgfplots@current@point@x{#1}%
+ \def\pgfplots@current@point@y{#2}%
+ \def\pgfplots@current@point@z{#3}%
+ \def\pgfplots@current@point@meta{#4}%
+ \pgfplots@coord@stream@coord%
+}%
+\def\pgfplots@addplotimpl@file@parsesingle@twodim@andmeta#1 #2 #3 #4\pgfplots@EOI{%
+ \def\pgfplots@current@point@x{#1}%
+ \def\pgfplots@current@point@y{#2}%
+ \def\pgfplots@current@point@meta{#3}%
+ \pgfplots@coord@stream@coord%
+}%
+
+\def\pgfplots@addplotimpl@table#1table{%
+ \pgfutil@ifnextchar[{%
+ \pgfplots@addplotimpl@table@getopts{#1}%
+ }{%
+ \pgfplots@addplotimpl@table@getopts{#1}[x index=0,y index=1]%
+ }%
+}%
+
+\def\pgfplots@addplotimpl@table@getopts#1[#2]{%
+ \pgfutil@ifnextchar f{%
+ \pgfplots@addplotimpl@table@fromstructure{#1}{#2}%
+ }{%
+ \pgfplots@addplotimpl@table@fromfile{#1}{#2}%
+ }%
+}
+
+% this macro simply invokes the "correct" table processing routine.
+% The distinction between 'table from {<\macro>}' and 'table
+% {<filename>}' is deprecated; it is done automatically now.
+%
+% \addplot[#1] table[#2] [from] {#3} #4;
+\def\pgfplots@addplotimpl@table@startprocessing#1#2#3#4{%
+ \pgfplotstable@isloadedtable{#3}{%
+ \pgfplots@addplotimpl@table@fromstructure@{#1}{#2}{#3}{#4}%
+ }{%
+ \pgfplots@addplotimpl@table@fromfile@{#1}{#2}{#3}{#4}%
+ }%
+}%
+
+% \addplot[#1] table[#2] from {#3} #4;
+%
+% #1: arguments to \addplot[...]
+% #2: arguments to table[...]
+% #3: the argument of plot table{...}
+% #4: trailing path arguments after plot table{...}#4;
+\long\def\pgfplots@addplotimpl@table@fromstructure#1#2from#3#4;{\pgfplots@addplotimpl@table@startprocessing{#1}{#2}{#3}{#4}}%
+% \addplot[#1] table[#2] from {#3} #4 ;
+\long\def\pgfplots@addplotimpl@table@fromstructure@#1#2#3#4{%
+ % set options here. They may contain behavior options!
+ \pgfplots@addplotimpl@table@installkeypath
+ \pgfplotstableset{#2}%
+ \begingroup
+ % FIXME : this thing here has runtime O(N^2) !
+ % I fear it is faster to simply reload the data .... !?
+ %
+ % well, for a lot of columns which are used in different contexts
+ % and few rows, this here IS more efficient.
+ \pgfplotstablecopy#3\to\pgfplots@table
+ \pgfkeysgetvalue{/pgfplots/table/x}{\pgfplots@plot@tbl@x}%
+ \pgfkeysgetvalue{/pgfplots/table/x index}{\pgfplots@plot@tbl@xindex}%
+ \pgfkeysgetvalue{/pgfplots/table/y}{\pgfplots@plot@tbl@y}%
+ \pgfkeysgetvalue{/pgfplots/table/y index}{\pgfplots@plot@tbl@yindex}%
+ \pgfkeysgetvalue{/pgfplots/table/z}{\pgfplots@plot@tbl@z}%
+ \pgfkeysgetvalue{/pgfplots/table/z index}{\pgfplots@plot@tbl@zindex}%
+ \pgfkeysgetvalue{/pgfplots/table/meta}{\pgfplots@plot@tbl@meta}%
+ \pgfkeysgetvalue{/pgfplots/table/meta index}{\pgfplots@plot@tbl@metaindex}%
+ \ifx\pgfplots@plot@tbl@x\pgfutil@empty
+ \pgfplotstablegetcolumnbyindex\pgfplots@plot@tbl@xindex\of\pgfplots@table\to\addplot@tbl@x
+ \else
+ \pgfplotstablegetcolumnbyname\pgfplots@plot@tbl@x\of\pgfplots@table\to\addplot@tbl@x
+ \fi
+ \ifx\pgfplots@plot@tbl@y\pgfutil@empty
+ \pgfplotstablegetcolumnbyindex\pgfplots@plot@tbl@yindex\of\pgfplots@table\to\addplot@tbl@y
+ \else
+ \pgfplotstablegetcolumnbyname\pgfplots@plot@tbl@y\of\pgfplots@table\to\addplot@tbl@y
+ \fi
+ \ifpgfplots@curplot@threedim
+ \ifx\pgfplots@plot@tbl@z\pgfutil@empty
+ \pgfplotstablegetcolumnbyindex\pgfplots@plot@tbl@zindex\of\pgfplots@table\to\addplot@tbl@z
+ \else
+ \pgfplotstablegetcolumnbyname\pgfplots@plot@tbl@z\of\pgfplots@table\to\addplot@tbl@z
+ \fi
+ \fi
+ \let\addplot@tbl@meta=\pgfutil@empty
+ \ifx\pgfplots@plot@tbl@meta\pgfutil@empty
+ \ifx\pgfplots@plot@tbl@metaindex\pgfutil@empty
+ \else
+ \pgfplotstablegetcolumnbyindex\pgfplots@plot@tbl@metaindex\of\pgfplots@table\to\addplot@tbl@meta
+ \fi
+ \else
+ \pgfplotstablegetcolumnbyname\pgfplots@plot@tbl@meta\of\pgfplots@table\to\addplot@tbl@meta
+ \fi
+ %
+ \ifpgfplots@errorbars@enabled
+ \let\addplot@tbl@error@x=\pgfutil@empty
+ \let\addplot@tbl@error@z=\pgfutil@empty
+ \pgfkeysgetvalue{/pgfplots/table/x error index}\pgfplots@plot@tbl@error@xindex
+ \pgfkeysgetvalue{/pgfplots/table/x error}\pgfplots@plot@tbl@error@x
+ \pgfkeysgetvalue{/pgfplots/table/y error index}\pgfplots@plot@tbl@error@yindex
+ \pgfkeysgetvalue{/pgfplots/table/y error}\pgfplots@plot@tbl@error@y
+ \pgfkeysgetvalue{/pgfplots/table/z error index}\pgfplots@plot@tbl@error@zindex
+ \pgfkeysgetvalue{/pgfplots/table/z error}\pgfplots@plot@tbl@error@z
+ \ifx\pgfplots@plot@tbl@error@x\pgfutil@empty
+ \ifx\pgfplots@plot@tbl@error@xindex\pgfutil@empty
+ \else
+ \pgfplotstablegetcolumnbyindex\pgfplots@plot@tbl@error@xindex\of\pgfplots@table\to\addplot@tbl@error@x
+ \fi
+ \else
+ \pgfplotstablegetcolumnbyname\pgfplots@plot@tbl@error@x\of\pgfplots@table\to\addplot@tbl@error@x
+ \fi
+ \ifx\pgfplots@plot@tbl@error@y\pgfutil@empty
+ \ifx\pgfplots@plot@tbl@error@yindex\pgfutil@empty
+ \else
+ \pgfplotstablegetcolumnbyindex\pgfplots@plot@tbl@error@yindex\of\pgfplots@table\to\addplot@tbl@error@y
+ \fi
+ \else
+ \pgfplotstablegetcolumnbyname\pgfplots@plot@tbl@error@y\of\pgfplots@table\to\addplot@tbl@error@y
+ \fi
+ \ifpgfplots@curplot@threedim
+ \ifx\pgfplots@plot@tbl@error@z\pgfutil@empty
+ \ifx\pgfplots@plot@tbl@error@zindex\pgfutil@empty
+ \else
+ \pgfplotstablegetcolumnbyindex\pgfplots@plot@tbl@error@zindex\of\pgfplots@table\to\addplot@tbl@error@z
+ \fi
+ \else
+ \pgfplotstablegetcolumnbyname\pgfplots@plot@tbl@error@z\of\pgfplots@table\to\addplot@tbl@error@z
+ \fi
+ \fi
+ \fi
+ %
+ \ifpgfplots@errorbars@enabled
+ \else
+ \let\pgfplots@current@point@x@error=\pgfutil@empty
+ \let\pgfplots@current@point@y@error=\pgfutil@empty
+ \let\pgfplots@current@point@z@error=\pgfutil@empty
+ \fi
+ \let\pgfplots@current@point@meta=\pgfutil@empty
+ \pgfplots@PREPARE@COORD@STREAM{#1}{#4}%
+ \pgfplots@coord@stream@start
+ \pgfutil@loop
+ \pgfplotslistcheckempty\addplot@tbl@x
+ \ifpgfplotslistempty
+ \pgfplots@loop@CONTINUEfalse
+ \else
+ % This here is just for sanity checking: if the 'y' column is
+ % - for whatever reasons - invalid; provide good error
+ % recovery.
+ \pgfplotslistcheckempty\addplot@tbl@y
+ \ifpgfplotslistempty
+ \pgfplots@loop@CONTINUEfalse
+ \else
+ \pgfplots@loop@CONTINUEtrue
+ \fi
+ \fi
+ \ifpgfplots@loop@CONTINUE
+ \pgfplotslistpopfront\addplot@tbl@x\to\pgfplots@current@point@x
+ \pgfplotslistpopfront\addplot@tbl@y\to\pgfplots@current@point@y
+ \ifpgfplots@curplot@threedim
+ \pgfplotslistpopfront\addplot@tbl@z\to\pgfplots@current@point@z
+ \fi
+ \ifx\addplot@tbl@meta\pgfutil@empty
+ \else
+ \pgfplotslistpopfront\addplot@tbl@meta\to\pgfplots@current@point@meta
+ \fi
+ \ifpgfplots@errorbars@enabled
+ \ifx\addplot@tbl@error@x\pgfutil@empty
+ \let\pgfplots@current@point@x@error=\pgfutil@empty
+ \else
+ \pgfplotslistpopfront\addplot@tbl@error@x\to\pgfplots@current@point@x@error
+ \fi
+ \ifx\addplot@tbl@error@y\pgfutil@empty
+ \let\pgfplots@current@point@y@error=\pgfutil@empty
+ \else
+ \pgfplotslistpopfront\addplot@tbl@error@y\to\pgfplots@current@point@y@error
+ \fi
+ \ifpgfplots@errorbars@enabled
+ \ifx\addplot@tbl@error@z\pgfutil@empty
+ \let\pgfplots@current@point@z@error=\pgfutil@empty
+ \else
+ \pgfplotslistpopfront\addplot@tbl@error@z\to\pgfplots@current@point@z@error
+ \fi
+ \fi
+ \pgfplots@coord@stream@coord
+ \else
+ \pgfplots@coord@stream@coord
+ \fi
+ \pgfutil@repeat
+ \pgfplots@coord@stream@end
+ \endgroup
+}
+
+
+% \addplot[#1] table[#2] {#3} #4;
+%
+% This here is the (probably) faster input method from tables.
+%
+% It has linear complexity in the number of rows (as long as the
+% number of rows is less than about 110000).
+%
+% #1: arguments to \addplot[...]
+% #2: arguments to table[...]
+% #3: the argument of plot table{...}
+% #4: trailing path arguments after plot table{...}#4;
+\long\def\pgfplots@addplotimpl@table@fromfile#1#2#3#4;{\pgfplots@addplotimpl@table@startprocessing{#1}{#2}{#3}{#4}}%
+% \addplot[#1] table[#2] {#3} {#4};
+\long\def\pgfplots@addplotimpl@table@fromfile@#1#2#3#4{%
+ % set options outside of the following group.
+ % They may contain behavior options.
+ \pgfplots@addplotimpl@table@installkeypath
+ \pgfplotstableset{#2}%
+ %--------------------------------------------------
+ % \begingroup
+ % \pgfplotstableset{#2}%
+ % \pgfplotstableread{#3}\pgfplots@table
+ % \pgfplots@addplotimpl@table@fromstructure{#1}{}from{\pgfplots@table}{#4};%
+ % \endgroup
+ %--------------------------------------------------
+ \begingroup
+ \ifpgfplots@addplotimpl@readcompletely
+ \pgfplotstableread{#3}\pgfplots@table
+ \pgfplots@addplotimpl@table@fromstructure@{#1}{}{\pgfplots@table}{#4}%
+ \endgroup
+ \else
+ \pgfplotsapplistXXglobalnewempty
+ \pgfkeysgetvalue{/pgfplots/table/x}{\pgfplots@plot@tbl@x}%
+ \pgfkeysgetvalue{/pgfplots/table/x index}{\pgfplots@plot@tbl@xindex}%
+ \pgfkeysgetvalue{/pgfplots/table/y}{\pgfplots@plot@tbl@y}%
+ \pgfkeysgetvalue{/pgfplots/table/y index}{\pgfplots@plot@tbl@yindex}%
+ \pgfkeysgetvalue{/pgfplots/table/z}{\pgfplots@plot@tbl@z}%
+ \pgfkeysgetvalue{/pgfplots/table/z index}{\pgfplots@plot@tbl@zindex}%
+ \pgfkeysgetvalue{/pgfplots/table/meta}{\pgfplots@plot@tbl@meta}%
+ \pgfkeysgetvalue{/pgfplots/table/meta index}{\pgfplots@plot@tbl@metaindex}%
+ \let\pgfplots@table@PTR@x=\pgfutil@empty
+ \let\pgfplots@table@PTR@y=\pgfutil@empty
+ \let\pgfplots@table@PTR@z=\pgfutil@empty
+ \let\pgfplots@table@PTR@meta=\pgfutil@empty
+ \let\pgfplots@current@point@meta=\pgfutil@empty
+ \let\pgfplots@current@point@z=\pgfutil@empty
+ \ifpgfplots@errorbars@enabled
+ \let\pgfplots@table@ERRPTR@x=\pgfutil@empty
+ \let\pgfplots@table@ERRPTR@y=\pgfutil@empty
+ \let\pgfplots@table@ERRPTR@z=\pgfutil@empty
+ \pgfkeysgetvalue{/pgfplots/table/x error index}\pgfplots@plot@tbl@error@xindex
+ \pgfkeysgetvalue{/pgfplots/table/x error}\pgfplots@plot@tbl@error@x
+ \pgfkeysgetvalue{/pgfplots/table/y error index}\pgfplots@plot@tbl@error@yindex
+ \pgfkeysgetvalue{/pgfplots/table/y error}\pgfplots@plot@tbl@error@y
+ \pgfkeysgetvalue{/pgfplots/table/z error index}\pgfplots@plot@tbl@error@zindex
+ \pgfkeysgetvalue{/pgfplots/table/z error}\pgfplots@plot@tbl@error@z
+ \pgfplotstableread{#3} to listener\pgfplots@addplotimpl@table@fromfile@listener@witherrors@COLLECTHIGHLEVEL
+ \else
+ \pgfplotstableread{#3} to listener\pgfplots@addplotimpl@table@fromfile@listener@COLLECTNORMALIZED
+ \fi
+ \endgroup
+ %
+ \pgfplots@PREPARE@COORD@STREAM{#1}{#4}%
+ \pgfplotsapplistXXgloballet\pgfplots@coordlist
+ \pgfplotsapplistXXglobalclear
+ \ifpgfplots@errorbars@enabled
+ \ifpgfplots@curplot@threedim
+ \expandafter\pgfplots@coord@stream@foreach@threedim\expandafter{\pgfplots@coordlist}%%
+ \else
+ \expandafter\pgfplots@coord@stream@foreach\expandafter{\pgfplots@coordlist}%%
+ \fi
+ \else
+ % this here is the usual case; it is faster than the error bar
+ % stuff.
+ \expandafter\pgfplots@coord@stream@foreach@NORMALIZED\expandafter{\pgfplots@coordlist}%
+ \fi
+ \fi
+}
+\def\pgfplots@addplotimpl@table@fromfile@listener@COLLECTNORMALIZED{%
+ \pgfplots@addplotimpl@table@fromfile@listener@
+ \edef\pgfplots@current@point{%
+ \pgfplots@current@point@x,%
+ \pgfplots@current@point@y,%
+ \pgfplots@current@point@z,%
+ \pgfplots@current@point@meta%
+ ;%
+ }%
+ \expandafter\pgfplotsapplistXXglobalpushback\expandafter{\pgfplots@current@point}%
+}
+\def\pgfplots@addplotimpl@table@fromfile@listener@{%
+ \ifx\pgfplots@table@PTR@x\pgfutil@empty
+ % this here is only evaluated ONCE.
+ \ifx\pgfplots@plot@tbl@x\pgfutil@empty
+ \pgfplotstablereadgetptrtocolindex{\pgfplots@plot@tbl@xindex}{\pgfplots@table@PTR@x}%
+ \else
+ \pgfplotstablereadgetptrtocolname{\pgfplots@plot@tbl@x}{\pgfplots@table@PTR@x}%
+ \fi
+ \ifx\pgfplots@plot@tbl@y\pgfutil@empty
+ \pgfplotstablereadgetptrtocolindex{\pgfplots@plot@tbl@yindex}{\pgfplots@table@PTR@y}%
+ \else
+ \pgfplotstablereadgetptrtocolname{\pgfplots@plot@tbl@y}{\pgfplots@table@PTR@y}%
+ \fi
+ \ifpgfplots@curplot@threedim
+ \ifx\pgfplots@plot@tbl@z\pgfutil@empty
+ \pgfplotstablereadgetptrtocolindex{\pgfplots@plot@tbl@zindex}{\pgfplots@table@PTR@z}%
+ \else
+ \pgfplotstablereadgetptrtocolname{\pgfplots@plot@tbl@z}{\pgfplots@table@PTR@z}%
+ \fi
+ \fi
+ \ifx\pgfplots@plot@tbl@meta\pgfutil@empty
+ \ifx\pgfplots@plot@tbl@metaindex\pgfutil@empty
+ \else
+ \pgfplotstablereadgetptrtocolindex{\pgfplots@plot@tbl@metaindex}{\pgfplots@table@PTR@meta}%
+ \fi
+ \else
+ \pgfplotstablereadgetptrtocolname{\pgfplots@plot@tbl@meta}{\pgfplots@table@PTR@meta}%
+ \fi
+ \fi
+ \pgfplotstablereadevalptr\pgfplots@table@PTR@x\pgfplots@current@point@x
+ \pgfplotstablereadevalptr\pgfplots@table@PTR@y\pgfplots@current@point@y
+ \ifpgfplots@curplot@threedim
+ \pgfplotstablereadevalptr\pgfplots@table@PTR@z\pgfplots@current@point@z
+ \fi
+ \ifx\pgfplots@table@PTR@meta\pgfutil@empty
+ \else
+ \pgfplotstablereadevalptr\pgfplots@table@PTR@meta\pgfplots@current@point@meta
+ \fi
+}%
+\def\pgfplots@addplotimpl@table@fromfile@listener@witherrors@COLLECTHIGHLEVEL{%
+ \pgfplots@addplotimpl@table@fromfile@listener@
+ %
+ \ifx\pgfplots@table@ERRPTR@x\pgfutil@empty
+ % this here is only evaluated ONCE.
+ \ifx\pgfplots@plot@tbl@error@x\pgfutil@empty
+ \ifx\pgfplots@plot@tbl@error@xindex\pgfutil@empty
+ \let\pgfplots@table@ERRPTR@x=\relax%
+ \else
+ \pgfplotstablereadgetptrtocolindex{\pgfplots@plot@tbl@error@xindex}{\pgfplots@table@ERRPTR@x}%
+ \fi
+ \else
+ \pgfplotstablereadgetptrtocolname{\pgfplots@plot@tbl@error@x}{\pgfplots@table@ERRPTR@x}%
+ \fi
+ \ifx\pgfplots@plot@tbl@error@y\pgfutil@empty
+ \ifx\pgfplots@plot@tbl@error@yindex\pgfutil@empty
+ \let\pgfplots@table@ERRPTR@y=\relax%
+ \else
+ \pgfplotstablereadgetptrtocolindex{\pgfplots@plot@tbl@error@yindex}{\pgfplots@table@ERRPTR@y}%
+ \fi
+ \else
+ \pgfplotstablereadgetptrtocolname{\pgfplots@plot@tbl@error@y}{\pgfplots@table@ERRPTR@y}%
+ \fi
+ \ifpgfplots@curplot@threedim
+ \ifx\pgfplots@plot@tbl@error@z\pgfutil@empty
+ \ifx\pgfplots@plot@tbl@error@zindex\pgfutil@empty
+ \let\pgfplots@table@ERRPTR@z=\relax%
+ \else
+ \pgfplotstablereadgetptrtocolindex{\pgfplots@plot@tbl@error@zindex}{\pgfplots@table@ERRPTR@z}%
+ \fi
+ \else
+ \pgfplotstablereadgetptrtocolname{\pgfplots@plot@tbl@error@z}{\pgfplots@table@ERRPTR@z}%
+ \fi
+ \fi
+ \fi
+ \ifx\relax\pgfplots@table@ERRPTR@x
+ \let\pgfplots@current@point@x@error=\pgfutil@empty
+ \else
+ \pgfplotstablereadevalptr\pgfplots@table@ERRPTR@x\pgfplots@current@point@x@error
+ \fi
+ \ifx\relax\pgfplots@table@ERRPTR@y
+ \let\pgfplots@current@point@y@error=\pgfutil@empty
+ \else
+ \pgfplotstablereadevalptr\pgfplots@table@ERRPTR@y\pgfplots@current@point@y@error
+ \fi
+ \ifpgfplots@curplot@threedim
+ \ifx\relax\pgfplots@table@ERRPTR@z
+ \let\pgfplots@current@point@z@error=\pgfutil@empty
+ \else
+ \pgfplotstablereadevalptr\pgfplots@table@ERRPTR@z\pgfplots@current@point@z@error
+ \fi
+ \edef\pgfplots@current@point{(\pgfplots@current@point@x,\pgfplots@current@point@y,\pgfplots@current@point@z)+-(\pgfplots@current@point@x@error,\pgfplots@current@point@y@error,\pgfplots@current@point@z@error) [\pgfplots@current@point@meta]}%
+ \else
+ \edef\pgfplots@current@point{(\pgfplots@current@point@x,\pgfplots@current@point@y)+-(\pgfplots@current@point@x@error,\pgfplots@current@point@y@error) [\pgfplots@current@point@meta]}%
+ \fi
+ \expandafter\pgfplotsapplistXXglobalpushback\expandafter{\pgfplots@current@point}%
+}%
+\def\pgfplots@addplotimpl@table@installkeypath{%
+ \pgfkeysdef{/pgfplots/table/.unknown}{%
+ \let\pgfplots@table@curkeyname=\pgfkeyscurrentname
+ \pgfqkeys{/pgfplots}{\pgfplots@table@curkeyname=##1}%
+ }%
+}%
+
+% #1: arguments to \addplot plot[#1]
+% -> these are called 'behavior' options in the manual; they are set
+% immediately.
+\def\pgfplots@start@plot@with@behavioroptions#1{%
+ %\begingroup%<-- has been moved to \pgfplots@addplotimpl@plot@withoptions
+ \def\pgfplots@current@point@coordindex{0}% can be used inside of coordinate filters.
+ \def\coordindex{\pgfplots@current@point@coordindex}% valid inside of \addplot
+ \ifx\pgfplots@execute@at@begin@plot\pgfutil@empty
+ \else
+ \pgfplots@execute@at@begin@plot
+ \fi
+ \let\pgfplots@addplot@nonlegend@options=\pgfutil@empty
+ \pgfplots@process@behavioroptions{#1}%
+ % these styles may contain behavior options (error bars,
+ % samples,... ) activate them!
+ \ifpgfplots@curplot@isirrelevant
+ \pgfplotsset{/pgfplots/every axis plot,/pgfplots/every forget plot/.try}%
+ \else
+ \pgfplotsset{/pgfplots/every axis plot,/pgfplots/every axis plot no \the\pgfplots@numplots/.try}%
+ \fi
+}
+\def\pgfplots@process@behavioroptions#1{%
+ \def\pgfplots@loc@TMPa{#1}%
+ \ifx\pgfplots@loc@TMPa\pgfutil@empty
+ \else
+ \expandafter\def\expandafter\pgfplots@addplot@nonlegend@options\expandafter{%
+ \pgfplots@addplot@nonlegend@options,#1}%
+ \pgfplotsset{#1}%
+ \fi
+}%
+
+\def\pgfplots@end@plot{%
+ \ifpgfplots@curplot@isirrelevant
+ \else
+ \global\advance\pgfplots@numplots by1\relax%
+ \fi
+ \pgfplots@execute@at@end@plot
+ \endgroup%<-- close the \begingroup of \pgfplots@addplotimpl@plot@withoptions
+}
+
+% \addplot[#1] [#2] {#3} #4;
+\long\def\pgfplots@addplotimpl@coordinates#1#2plot coordinates#3#4;{\pgfplots@addplotimpl@coordinates@{#1}{#2}{#3}{#4}}%
+% \addplot[#1] [#2] coordinates {#3} #4;
+\long\def\pgfplots@addplotimpl@coordinates@#1#2#3#4{%
+%\tracingmacros=2\tracingcommands=2
+%\pgfplots@message{processing plots coords with trailing path '#4'}%
+ \pgfplots@start@plot@with@behavioroptions{#2}%
+ \pgfplots@PREPARE@COORD@STREAM{#1}{#4}%
+ \ifpgfplots@curplot@threedim
+ \pgfplots@coord@stream@foreach@threedim{#3}%
+ \else
+ \pgfplots@coord@stream@foreach{#3}%
+ \fi
+}%
+
+{
+ % A block which handles active semicolons.
+ %
+ % ATTENTION: this block does only work if
+ % \pgfplots@addplotimpl.... changes are reflected here!
+ %
+ \catcode`\;=\active
+ \globaldefs=1
+ % 'AS' == 'active semicolon'
+ % 'IS' == 'inactive semicolon'
+ \let\pgfplots@gobble@until@semicolon@IS=\pgfplots@gobble@until@semicolon
+ \let\pgfplots@addplotimpl@expression@IS=\pgfplots@addplotimpl@expression
+ \let\pgfplots@addplotimpl@expression@curly@IS=\pgfplots@addplotimpl@expression@curly
+ \let\pgfplots@addplotimpl@function@opt@IS=\pgfplots@addplotimpl@function@opt
+ \let\pgfplots@addplotimpl@file@opt@IS=\pgfplots@addplotimpl@file@opt
+ \let\pgfplots@addplotimpl@table@fromstructure@IS=\pgfplots@addplotimpl@table@fromstructure
+ \let\pgfplots@addplotimpl@table@fromfile@IS=\pgfplots@addplotimpl@table@fromfile
+ \let\pgfplots@addplotimpl@coordinates@IS=\pgfplots@addplotimpl@coordinates
+ %
+ \def\pgfplots@gobble@until@semicolon@AS#1;{}
+ \long\def\pgfplots@addplotimpl@expression@AS#1#2(#3,#4)#5;{\pgfplots@addplotimpl@expression@{#1}{#2}{#3}{#4}{#5}}%
+ \long\def\pgfplots@addplotimpl@expression@curly@AS#1#2#3#4;{\pgfplots@addplotimpl@expression@curly@{#1}{#2}{#3}{#4}}%
+ \def\pgfplots@addplotimpl@function@opt@AS#1#2[#3]#4#5;{\pgfplots@addplotimpl@function@opt@{#1}{#2}{#3}{#4}{#5}}%
+ \def\pgfplots@addplotimpl@file@opt@AS#1#2[#3]#4#5;{\pgfplots@addplotimpl@file@opt@{#1}{#2}{#3}{#4}{#5}}%
+ \long\def\pgfplots@addplotimpl@table@fromstructure@AS#1#2from#3#4;{\pgfplots@addplotimpl@table@startprocessing{#1}{#2}{#3}{#4}}%
+ \long\def\pgfplots@addplotimpl@table@fromfile@AS#1#2#3#4;{\pgfplots@addplotimpl@table@startprocessing{#1}{#2}{#3}{#4}}%
+ \long\def\pgfplots@addplotimpl@coordinates@AS#1#2plot coordinates#3#4;{\pgfplots@addplotimpl@coordinates@{#1}{#2}{#3}{#4}}%
+ %
+ % Checks whether ';' is an active character and, if that is the
+ % case, modifies all public macros for it.
+ \pgfplots@appendto@activesemicolon@switcher{%
+ \let\pgfplots@gobble@until@semicolon=\pgfplots@gobble@until@semicolon@AS
+ \let\pgfplots@addplotimpl@expression=\pgfplots@addplotimpl@expression@AS
+ \let\pgfplots@addplotimpl@expression@curly=\pgfplots@addplotimpl@expression@curly@AS
+ \let\pgfplots@addplotimpl@function@opt=\pgfplots@addplotimpl@function@opt@AS
+ \let\pgfplots@addplotimpl@file@opt=\pgfplots@addplotimpl@file@opt@AS
+ \let\pgfplots@addplotimpl@table@fromstructure=\pgfplots@addplotimpl@table@fromstructure@AS
+ \let\pgfplots@addplotimpl@table@fromfile=\pgfplots@addplotimpl@table@fromfile@AS
+ \let\pgfplots@addplotimpl@coordinates=\pgfplots@addplotimpl@coordinates@AS
+ }%
+}
+
+\newif\ifpgfplots@update@limits@for@one@point@ISCLIPPED
+\def\pgfplots@math@ONE{1.0}%
+
+\def\pgfplots@streamerrorbarstart{%
+}%
+\def\pgfplots@streamerrorbarend{%
+}%
+\def\pgfplots@streamerrorbarcoords#1#2{%
+}%
+
+\def\pgfplots@streamerrorbar@recordto#1{%
+ \def\pgfplots@streamerrorbarstart{%
+ \pgfplotsapplistXnewempty\pgfplots@streamerrorbar@recordto@@
+ }%
+ \def\pgfplots@streamerrorbarend{%
+ \pgfplotsapplistXlet#1=\pgfplots@streamerrorbar@recordto@@
+ \pgfplotsapplistXnewempty\pgfplots@streamerrorbar@recordto@@% clear
+ }%
+ \def\pgfplots@streamerrorbarcoords##1##2{%
+ \pgfplotsapplistXpushback{\pgfplots@errorbar@draw{##1}{##2}}\to\pgfplots@streamerrorbar@recordto@@
+ }%
+}
+\def\pgfplots@streamerrorbar@directdraw{%
+ \def\pgfplots@streamerrorbarstart{}%
+ \def\pgfplots@streamerrorbarend{}%
+ \def\pgfplots@streamerrorbarcoords##1##2{%
+ \pgfplots@errorbar@draw{##1}{##2}%
+ }%
+}
+
+\def\pgfplots@invoke@filter#1#2{%
+ \pgfkeysvalueof{/pgfplots/#2 filter/.@cmd}#1\pgfeov%
+}%
+
+% this is a convenience macro to save storage in the long coordinate
+% lists.
+\def\pgfplots@stream#1#2{\pgfplotstreampoint{\pgfqpoint{#1}{#2}}}
+\def\pgfplots@stream@withmeta#1#2#3{\def\pgfplots@current@point@meta{#3}\pgfplotstreampoint{\pgfqpoint{#1}{#2}}}
+
+\newif\ifpgfplots@record@marker@stream
+% Takes a sequence of PREPARED coordinates which are given in floating
+% point representation and applies the data scaling trafo (if
+% necessary).
+%
+% Any coordinate will be plotted with the selected PGF plot handler.
+%
+% This stream is designed to be done at the end of an axis.
+% See \pgfplots@coord@stream@finalize@storedcoords@START
+%
+% #1 : a macro which will be filled with a pgf plot stream for the
+% marker points.
+\def\pgfplots@coord@stream@INIT@finalize@storedcoords#1{%
+ %
+ % Init the plot handlers:
+ \pgfplots@getcurrent@plothandler\pgfplots@basiclevel@plothandler
+ \pgfplots@gettikzinternal@keyval{mark}{tikz@plot@mark}{}%
+ \ifpgfplots@scatterplotenabled
+ \ifx\tikz@plot@mark\pgfutil@empty
+ \pgfplots@warning{I am confused: A scatter plot with 'mark=none'? This may need attention...?}%
+ \fi
+ \fi
+ %
+ \ifx\tikz@plot@mark\pgfutil@empty
+ % mark=none : no need to waste time collecting marker
+ % positions.
+ \pgfplots@record@marker@streamfalse
+ \else
+ \ifx\pgfplots@basiclevel@plothandler\pgfplothandlerdiscard
+ \ifpgfplots@clip@marker@paths
+ % only marks: draw markers directly; no need for the
+ % two-pass-approach.
+ \let\pgfplots@basiclevel@plothandler=\relax
+ \pgfplots@install@plotmark@handler
+ \pgfplots@record@marker@streamfalse
+ \else
+ % collect mark positions... they will be drawn after
+ % the clipped axis range. Clipping will only be
+ % applied to their *positions*, not their paths.
+ \pgfplots@record@marker@streamtrue
+ \fi
+ \else
+ % ok, mark!=none and we also have a plot handler.
+ % So, collect mark positions!
+ \pgfplots@record@marker@streamtrue
+ \fi
+ \fi
+ \gdef#1{}%
+ %
+ % Now, set up coordinate streams.
+ \def\pgfplots@coord@stream@start@{%
+ \ifpgfplots@apply@datatrafo
+ \ifpgfplots@stackedmode
+ \pgfplots@stacked@beginplot
+ \fi
+ \fi
+ \pgfplots@basiclevel@plothandler
+ \pgfplotstreamstart
+ \let\pgfplots@data@scaletrafo@result=\pgfutil@empty
+ \ifpgfplots@record@marker@stream
+ \pgfplotsapplistXXnewempty
+ \pgfplotsapplistXXpushback{\pgfplotstreamstart}%
+ %\gdef#1{\pgfplotstreamstart}%
+ \fi
+ % Define \pgfplots@process@perpointmeta properly:
+ \ifnum\pgfplots@perpointmeta@choice=0
+ % disabled.
+ \def\pgfplots@process@perpointmeta{%
+ \let\pgfplots@current@point@meta=\pgfutil@empty
+ }%
+ \else
+ \fi
+ }%
+ \def\pgfplots@coord@stream@end@{%
+ \ifpgfplots@apply@datatrafo
+ \ifpgfplots@stackedmode
+ \pgfplots@stacked@endplot
+ \fi
+ \pgfplots@addplot@get@named@startendpoints@command\pgfplots@loc@TMPa
+ \pgfplots@loc@TMPa
+ \fi
+ \pgfplotstreamend
+ \ifpgfplots@record@marker@stream
+ \pgfplotsapplistXXpushback{\pgfplotstreamend}%
+ \pgfplotsapplistXXflushbuffers%
+ \global\let#1=\pgfplotsapplistXX
+ \pgfplotsapplistXXclear
+ %\expandafter\gdef\expandafter#1\expandafter{#1\pgfplotstreamend}%
+ \fi
+ }%
+ \begingroup
+ \let\E=\noexpand
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \pgfplots@coord@stream@INIT@finalize@storedcoords@prepare@scaletrafomacro
+ %
+ % Will be inserted in one of two possible places below:
+ \def\pgfplots@loc@TMPa{%
+ \ifnum\pgfplots@perpointmeta@choice=0
+ % we don't have per-point meta data. Nothing special to
+ % do:
+ \E\edef\E\pgfmathresult{\E\noexpand\E\pgfplots@stream{\E\the\E\pgf@x}{\E\the\E\pgf@y}}%
+ \E\expandafter\E\pgfplotsapplistXXpushback\E\expandafter{\E\pgfmathresult}%
+ \else
+ % Ok, then we need to process the meta data as well:
+ \E\edef\E\pgfmathresult{\E\noexpand\E\pgfplots@stream@withmeta{\E\the\E\pgf@x}{\E\the\E\pgf@y}{\E\pgfplots@current@point@meta}}%
+ \E\expandafter\E\pgfplotsapplistXXpushback\E\expandafter{\E\pgfmathresult}%
+ \fi
+ }%
+ % This finalize command maps the logical coordinate into PGF's
+ % point space. Furthermore, it collects marker coordinates
+ % (properly clipped by position) if markers are required (see
+ % above).
+ %
+ % It is prepared here to eliminate if's.
+ \xdef\pgfplots@coord@stream@finalize@currentpt{%
+ \ifpgfplots@curplot@threedim
+ \E\pgfplotsqpointxyz{\E\pgfplots@current@point@x}{\E\pgfplots@current@point@y}{\E\pgfplots@current@point@z}%
+ \else
+ \ifpgfplots@threedim
+ \E\pgfplotsqpointxyz{\E\pgfplots@current@point@x}{\E\pgfplots@current@point@y}{0.0}%
+ \else
+ \E\pgfplotsqpointxy{\E\pgfplots@current@point@x}{\E\pgfplots@current@point@y}%
+ \fi
+ \fi
+ \ifpgfplots@record@marker@stream
+ \E\pgf@xa=\E\pgfplots@current@point@x pt % FIXME : SCOPE REGISTERS!?
+ \E\pgf@ya=\E\pgfplots@current@point@y pt %
+ \ifpgfplots@curplot@threedim
+ \E\pgf@yb=\E\pgfplots@current@point@z pt %
+ \fi
+ \E\ifdim\E\pgf@xa<\E\pgfplots@xmin@reg
+ \E\else
+ \E\ifdim\E\pgf@xa>\E\pgfplots@xmax@reg
+ \E\else
+ \E\ifdim\E\pgf@ya<\E\pgfplots@ymin@reg
+ \E\else
+ \E\ifdim\E\pgf@ya>\E\pgfplots@ymax@reg
+ \E\else
+ \ifpgfplots@curplot@threedim
+ \E\ifdim\E\pgf@yb<\E\pgfplots@zmin@reg
+ \E\else
+ \E\ifdim\E\pgf@yb>\E\pgfplots@zmax@reg
+ \E\else
+ \pgfplots@loc@TMPa
+ \E\fi
+ \E\fi
+ \else
+ \pgfplots@loc@TMPa
+ \fi
+ \E\fi
+ \E\fi
+ \E\fi
+ \E\fi
+ \fi
+ \E\pgfplotstreampoint{}% it will simply take \pgf@x and \pgf@y!
+ }%
+ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ \endgroup
+%
+%\message{Prepared macro \string \pgfplots@apply@data@scaletrafo@to@one@point {\meaning\pgfplots@apply@data@scaletrafo@to@one@point}}%
+%\message{Prepared macro \string \pgfplots@coord@stream@finalize@currentpt {\meaning\pgfplots@coord@stream@finalize@currentpt}}%
+ \ifpgfplots@apply@datatrafo
+ \def\pgfplots@coord@stream@coord@{%
+ \pgfplots@apply@data@scaletrafo@to@one@point%
+ \pgfplots@coord@stream@finalize@currentpt
+ }%
+ \else
+ \def\pgfplots@coord@stream@coord@{%
+ \pgfplots@coord@stream@finalize@currentpt
+ }%
+ \fi
+ %
+}
+
+% Defines an optimized and matching \pgfplots@apply@data@scaletrafo@to@one@point
+% during the coordinate finalization step in \end{axis}.
+\def\pgfplots@coord@stream@INIT@finalize@storedcoords@prepare@scaletrafomacro{%
+ \begingroup
+ \let\E=\noexpand
+ % The command which is called for every non-yet-finished point.
+ %
+ % It is prepared here to eliminate if's.
+ %
+ % Arguments:
+ % \pgfplots@current@point@[xyz]
+ % \pgfplots@current@point@[xyz]@error (if in argument list)
+ \xdef\pgfplots@apply@data@scaletrafo@to@one@point{%
+ \ifpgfplots@apply@datatrafo@x
+ \E\pgfplots@datascaletrafo@x{\E\pgfplots@current@point@x}%
+ \E\let\E\pgfplots@current@point@x=\E\pgfmathresult
+ \fi
+ \ifpgfplots@apply@datatrafo@y
+ \E\pgfplots@datascaletrafo@y{\E\pgfplots@current@point@y}%
+ \E\let\E\pgfplots@current@point@y=\E\pgfmathresult
+ \fi
+ \ifpgfplots@curplot@threedim
+ \ifpgfplots@apply@datatrafo@z
+ \E\pgfplots@datascaletrafo@z{\E\pgfplots@current@point@z}%
+ \E\let\E\pgfplots@current@point@z=\E\pgfmathresult
+ \fi
+ \fi
+ \ifpgfplots@stackedmode
+ % all these calls work with pgfmath; no more floating point
+ % arithmetics are applied.
+ \E\pgfplots@stacked@getnextzerolevelpoint
+ \E\pgfplots@stacked@finishpoint%
+ \E\pgfplots@stacked@rememberzerolevelpoint@for@next@plot{(\E\pgfplots@current@point@x,\E\pgfplots@current@point@y)}%
+ \fi
+ % \t@pgfplots@tokc=\expandafter{\pgfplots@data@scaletrafo@result}%
+ % \edef\pgfplots@data@scaletrafo@result{\the\t@pgfplots@tokc(\pgfplots@current@point@x,\pgfplots@current@point@y)}%
+ }%
+ %
+ \endgroup
+}
+
+\def\pgfplots@addplot@get@named@startendpoints@command#1{%
+ \ifpgfplots@coord@stream@isfirst
+ \edef#1{%
+ \noexpand\pgfcoordinate{current plot begin}{\noexpand\pgfqpoint{\pgfplots@ZERO@x}{\pgfplots@ZERO@y}}%
+ \noexpand\pgfcoordinate{current plot end}{\noexpand\pgfqpoint{\pgfplots@ZERO@x}{\pgfplots@ZERO@y}}%
+ }%
+ \else
+ \edef#1{%
+ \noexpand\pgfcoordinate{current plot begin}{\noexpand\pgfplotsqpointxy{\pgfplots@currentplot@firstcoord@x}{\pgfplots@currentplot@firstcoord@y}}%
+ \noexpand\pgfcoordinate{current plot end}{\noexpand\pgfplotsqpointxy{\pgfplots@currentplot@lastcoord@x}{\pgfplots@currentplot@lastcoord@y}}%
+ }%
+ \fi
+}%
+
+% INPUT:
+% either floating point or fixed point coordinates (depending on the
+% state of the \ifpgfplots@apply@datatrafo boolean)
+%
+\long\def\pgfplots@coord@stream@finalize@storedcoords@START normalized coordinates #1#2;\pgfplots@EOI{%
+ \pgfplots@assert@tikzinternal@exists{tikz@make@last@position}%
+ \pgfplots@stored@current@cmd[current plot style]
+ \pgfextra
+ \tikzset{every plot/.try}%
+ \pgfplots@coord@stream@INIT@finalize@storedcoords\pgfplots@recorded@marker@stream%
+ \pgfplots@coord@stream@foreach@NORMALIZED{#1}%
+ \pgfutil@ifundefined{pgfplotlastpoint}{}{%
+ \tikz@make@last@position{\pgfplotlastpoint}%
+ }%
+ \endpgfextra
+ #2;
+ \ifx\pgfplots@recorded@marker@stream\pgfutil@empty
+ \else
+ \ifpgfplots@clip@marker@paths
+ % Draw markers on top of the plot lines:
+ %
+ % FIXME: inefficient! Use \scope to set variables of 'current plot style' !?
+ \pgfplots@stored@current@cmd[current plot style]
+ \pgfextra
+ \pgfplots@install@plotmark@handler
+ \pgfplots@recorded@marker@stream
+ \endpgfextra
+ ;
+ \else
+ % sigh... ok, store the marker list (once more again).
+ % They need to be drawn after the clipped area.
+ \pgfplots@stored@REMEMBER@MARK@COMMAND
+ \fi
+ \fi
+ \gdef\pgfplots@recorded@marker@stream{}% clear
+}%
+
+% This method MUST be called while \pgfplots@stored@plotlist is
+% evaluated, that means
+% - \pgfplots@stored@* commands need to be valid,
+% - the precommand has already been invoked.
+% - pgfplots@recorded@marker@stream exists
+% - current plot style is valid
+\def\pgfplots@stored@REMEMBER@MARK@COMMAND{%
+ \pgfkeysgetvalue{/tikz/current plot style/.@cmd}{\pgfplots@loc@TMPa}%
+ \t@pgfplots@toka=\expandafter{\pgfplots@loc@TMPa\pgfeov}%
+ \t@pgfplots@tokb=\expandafter{\pgfplots@stored@current@cmd[current plot style]}%
+ \t@pgfplots@tokc=\expandafter{\pgfplots@recorded@marker@stream}%
+ \edef\pgfplots@loc@TMPa{%
+ \noexpand\pgfkeysdef{/tikz/current plot style}{\the\t@pgfplots@toka}%
+ % de-activate the FPU here if it was active! I fear its number
+ % format may cause errors when used in low-level
+ % routines.
+ \noexpand\pgfkeys{/pgf/fpu=false}%
+ %
+ \noexpand\xdef\noexpand\pgfplots@metamin{\pgfplots@metamin}%
+ \noexpand\xdef\noexpand\pgfplots@metamax{\pgfplots@metamax}%
+ \ifpgfplots@perpointmeta@usesfloat
+ \noexpand\pgfplots@perpointmeta@usesfloattrue
+ \else
+ \noexpand\pgfplots@perpointmeta@usesfloatfalse
+ \fi
+ \noexpand\def\noexpand\pgfplots@perpointmeta@choice{\pgfplots@perpointmeta@choice}%
+ %
+ \the\t@pgfplots@tokb
+ \noexpand\pgfextra
+ \noexpand\pgfplots@install@plotmark@handler
+ \the\t@pgfplots@tokc
+ \noexpand\endpgfextra
+ ;}%
+ \t@pgfplots@toka=\expandafter{\pgfplots@loc@TMPa}%
+ \t@pgfplots@tokb=\expandafter{\pgfplots@stored@current@precmd}%
+ \edef\pgfplots@loc@TMPa{\the\t@pgfplots@tokb\the\t@pgfplots@toka}%
+ \expandafter\pgfplotslistpushbackglobal\expandafter{\pgfplots@loc@TMPa}\to\pgfplots@stored@markerlist
+}%
+
+\def\pgfplots@install@plotmark@handler{%
+ \pgfplots@assert@tikzinternal@exists{tikz@options}%
+ % note: I can't check on tikz@transform because it can be
+ % '\relax'.
+ \pgfplots@gettikzinternal@keyval{mark indices}{tikz@mark@list}{}%
+ \pgfplots@gettikzinternal@keyval{mark}{tikz@plot@mark}{}%
+ %
+ % do not reset \tikz@options: draw color may be acquired
+ % from 'current plot style'
+ %\let\tikz@options=\pgfutil@empty%
+ \let\tikz@transform=\pgfutil@empty%
+ \tikzset{every plot/.try,every mark}%
+ \tikz@options
+ \pgfplots@perpointmeta@preparetrafo
+ % this here is the MAIN marker code.
+ % It may be modified if scatter plot is enabled, see below.
+ \def\pgfplots@loc@TMPa{\tikz@transform\pgfuseplotmark{\tikz@plot@mark}}
+ \ifpgfplots@scatterplotenabled
+ % Scatter plots work like this:
+ %
+ % <compute per-point meta info>
+ % /pgfplots/scatter/@pre marker code
+ % <marker code, lowlevel>
+ % /pgfplots/scatter/@post marker code
+ %
+ % -> that's all. The Rest is configurable with style which
+ % (re)define '@pre marker code' and '@post marker code' (see
+ % the docs for details).
+ %
+ % Prepare arguments for '@pre/@post' macros:
+ \edef\pgfplotspointmetarange{\pgfplots@metamin:\pgfplots@metamax}%
+ \edef\pgfplotspointmetatransformedrange{\pgfplots@perpointmeta@traforange}%
+ \t@pgfplots@toka={%
+ \begingroup
+ \pgfutil@ifundefined{pgfplots@current@point@meta}{%
+ \pgfplots@error{'scatter' could not access its data source. Maybe you need to add '\string\addplot\space plot[scatter src=y]' or something like that?}%
+ \pgfmathfloatcreate{1}{1.0}{0}%
+ \def\pgfplotspointmetatransformed{1.0}%
+ }{%
+ % prepare arguments:
+ \let\pgfplotspointmeta=\pgfplots@current@point@meta
+ \pgfplots@perpointmeta@trafo{\pgfplotspointmeta}%
+ \let\pgfplotspointmetatransformed=\pgfmathresult
+ }%
+ \pgfkeysvalueof{/pgfplots/scatter/@pre marker code/.@cmd}\pgfeov
+ }%
+ \t@pgfplots@tokb=\expandafter{\pgfplots@loc@TMPa}%
+ \t@pgfplots@tokc={%
+ \pgfkeysvalueof{/pgfplots/scatter/@post marker code/.@cmd}\pgfeov
+ \endgroup
+ }%
+ \edef\pgfplots@loc@TMPa{%
+ \the\t@pgfplots@toka
+ \the\t@pgfplots@tokb
+ \the\t@pgfplots@tokc
+ }%
+ \fi
+ \ifx\tikz@mark@list\pgfutil@empty%
+ \expandafter\pgfplothandlermark\expandafter{\pgfplots@loc@TMPa}%
+ \else
+ \expandafter\pgfplothandlermarklisted\expandafter{\pgfplots@loc@TMPa}{\tikz@mark@list}%
+ \fi
+}%
+
+
+% This thing here shall draw all error bar commands listed in '#2'.
+%
+% It will be invoked when any plotting commands take effect (that
+% means all limits are computed; the axis has been drawn,
+% transformations are set up...)
+\def\pgfplots@errorbars@finishwithstyleoptions[#1]#2{%
+ \scope[/pgfplots/.cd,#1,/pgfplots/every error bar]% it uses the /pgfplots/.unknown handler
+ #2%
+ \endscope
+}
+
+\def\pgfplots@errorbar@draw@float(#1,#2)(#3,#4){%
+ \ifpgfplots@apply@datatrafo@x
+ \pgfplots@datascaletrafo@x{#1}%
+ \let\pgfplots@xarg=\pgfmathresult%
+ \pgfplots@datascaletrafo@x{#3}%
+ \let\pgfplots@error@xarg=\pgfmathresult%
+ \else
+ \def\pgfplots@xarg{#1}%
+ \def\pgfplots@error@xarg{#3}%
+ \fi
+ \ifpgfplots@apply@datatrafo@y
+ \pgfplots@datascaletrafo@y{#2}%
+ \let\pgfplots@yarg=\pgfmathresult%
+ \pgfplots@datascaletrafo@y{#4}%
+ \let\pgfplots@error@yarg=\pgfmathresult%
+ \else
+ \def\pgfplots@yarg{#2}%
+ \def\pgfplots@error@yarg{#4}%
+ \fi
+ \edef\pgfplots@loc@TMPa{{(\pgfplots@xarg,\pgfplots@yarg)}{(\pgfplots@error@xarg,\pgfplots@error@yarg)}}%
+ \def\pgfplots@loc@TMPb{\pgfkeysvalueof{/pgfplots/error bars/draw error bar/.@cmd}}%
+ \expandafter\pgfplots@loc@TMPb\pgfplots@loc@TMPa\pgfeov
+}
+
+\def\pgfplots@errorbar@draw#1#2{%
+ \begingroup
+ \ifpgfplots@apply@datatrafo
+ \pgfplots@errorbar@draw@float#1#2
+ \else
+ \pgfkeysvalueof{/pgfplots/error bars/draw error bar/.@cmd}{#1}{#2}\pgfeov%
+ \fi
+ \endgroup
+}%
+
+% Arguments:
+% \pgfplots@current@point@[xyz]
+% \pgfplots@current@point@[xyz]@unfiltered
+% \pgfplots@current@point@[xyz]@error (if in argument list)
+% Also provides UNFILTERED arguments x and y . These are use
+% in case of logplots, because we may need to compute log( x + e_x )
+% or log( y + e_y ).
+\def\pgfplots@process@errorbar@for{%
+% \begingroup
+ \edef\pgfplots@xarg{\pgfplots@current@point@x}%
+ \edef\pgfplots@yarg{\pgfplots@current@point@y}%
+ \let\pgfplots@xarg@unfiltered\pgfplots@current@point@x@unfiltered%
+ \let\pgfplots@yarg@unfiltered\pgfplots@current@point@y@unfiltered%
+ \edef\pgfplots@error@xarg{\pgfplots@current@point@x@error}%
+ \edef\pgfplots@error@yarg{\pgfplots@current@point@y@error}%
+ \def\pgfplots@loc@TMPa{0}%
+ \ifx\pgfplots@loc@TMPa\pgfplots@error@xarg
+ \let\pgfplots@error@xarg=\pgfutil@empty
+ \fi
+ \ifx\pgfplots@loc@TMPa\pgfplots@error@yarg
+ \let\pgfplots@error@yarg=\pgfutil@empty
+ \fi
+ % FIXME : INEFFICIENT! This code here does every computation
+ % multiple times!
+ \ifcase\pgfplots@errorbars@xdirection
+ \or
+ \pgfplots@process@errorbar@@for{x}{+}1%
+ \or
+ \pgfplots@process@errorbar@@for{x}{-}2%
+ \or
+ \pgfplots@process@errorbar@@for{x}{+}1%
+ \pgfplots@process@errorbar@@for{x}{-}2%
+ \fi
+ \ifcase\pgfplots@errorbars@ydirection
+ \or
+ \pgfplots@process@errorbar@@for{y}{+}1%
+ \or
+ \pgfplots@process@errorbar@@for{y}{-}2%
+ \or
+ \pgfplots@process@errorbar@@for{y}{+}1%
+ \pgfplots@process@errorbar@@for{y}{-}2%
+ \fi
+ % Restore macros which may have been overwritten:
+ \let\pgfplots@current@point@x=\pgfplots@xarg
+ \let\pgfplots@current@point@y=\pgfplots@yarg
+% \endgroup
+}
+
+% #1: either 'x' or 'y'
+% #2: either '+' or '-'
+% #3: an integer representing the argument #2. It is '1' if #2='+'
+% and '2' is #2 = '-'.
+\def\pgfplots@process@errorbar@@for#1#2#3{%
+ \csname ifpgfplots@#1islinear\endcsname
+ \edef\pgfplots@error@src{\csname pgfplots@#1arg\endcsname}%
+ \ifcase\csname pgfplots@errorbars@#1mode\endcsname
+ % fixed absolute error.
+ \edef\pgfplots@error@coord{\csname pgfplots@errorbars@#1fixed\endcsname}%
+ \pgfmathfloatparsenumber{\pgfplots@error@coord}%
+ \let\pgfplots@error@coord=\pgfmathresult
+ \ifnum#3=1
+ \pgfmathfloatadd@{\pgfplots@error@src}{\pgfplots@error@coord}%
+ \else
+ \pgfmathfloatsubtract@{\pgfplots@error@src}{\pgfplots@error@coord}%
+ \fi
+ \let\pgfplots@error@coord=\pgfmathresult
+ \or% fixed relative error:
+ \pgfmathparse{(1#2\csname pgfplots@errorbars@#1rel\endcsname)}%
+ \let\pgfplots@error@coord=\pgfmathresult
+ \pgfmathfloatmultiplyfixed@{\pgfplots@error@src}{\pgfplots@error@coord}%
+ \let\pgfplots@error@coord=\pgfmathresult
+ \or% explicit absolute:
+ \edef\pgfplots@error@coord{\csname pgfplots@error@#1arg\endcsname}%
+ \ifx\pgfplots@error@coord\pgfutil@empty
+ \else
+ \pgfmathfloatparsenumber{\pgfplots@error@coord}%
+ \let\pgfplots@error@coord=\pgfmathresult
+ \ifnum#3=1
+ \pgfmathfloatadd@{\pgfplots@error@src}{\pgfplots@error@coord}%
+ \else
+ \pgfmathfloatsubtract@{\pgfplots@error@src}{\pgfplots@error@coord}%
+ \fi
+ \let\pgfplots@error@coord=\pgfmathresult
+ \fi
+ \or% explicit relative:
+ \edef\pgfplots@error@coord{\csname pgfplots@error@#1arg\endcsname}%
+ \ifx\pgfplots@error@coord\pgfutil@empty
+ \else
+ \pgfmathparse{(1#2\pgfplots@error@coord)}%
+ \let\pgfplots@error@coord=\pgfmathresult
+ \pgfmathfloatmultiplyfixed@{\pgfplots@error@src}{\pgfplots@error@coord}%
+ \let\pgfplots@error@coord=\pgfmathresult
+ \fi
+ \fi
+ \else
+ % LOGARITHMIC scaling. All errors are interpreted as
+ % log(x +- e_x)
+ % or
+ % log( x*(1+-e_x) )
+ \ifcase\csname pgfplots@errorbars@#1mode\endcsname
+ % fixed absolute, log( x +- e_x )
+ \edef\pgfplots@error@src{\csname pgfplots@#1arg@unfiltered\endcsname}%
+ \edef\pgfplots@error@coord{\csname pgfplots@errorbars@#1fixed\endcsname}%
+ \pgfmathfloatparsenumber{\pgfplots@error@coord}%
+ \let\pgfplots@error@coord=\pgfmathresult
+ \pgfmathfloatparsenumber{\pgfplots@error@src}%
+ \let\pgfplots@error@src=\pgfmathresult
+ \ifnum#3=1
+ \pgfmathfloatadd@{\pgfplots@error@src}{\pgfplots@error@coord}%
+ \else
+ \pgfmathfloatsubtract@{\pgfplots@error@src}{\pgfplots@error@coord}%
+ \fi
+ \pgfmathlog@float{\pgfmathresult}%
+ \let\pgfplots@error@coord=\pgfmathresult
+ \or% fixed relative, log( x ( 1+-e_x ) ) = log(x) + log(1+-e_x)
+ \edef\pgfplots@error@src{\csname pgfplots@#1arg\endcsname}%
+ \pgfmathparse{\pgfplots@error@src + ln(1#2\csname pgfplots@errorbars@#1rel\endcsname)}%
+ \let\pgfplots@error@coord=\pgfmathresult%
+ \or% explicit absolute
+ \edef\pgfplots@error@src{\csname pgfplots@#1arg@unfiltered\endcsname}%
+ \edef\pgfplots@error@coord{\csname pgfplots@error@#1arg\endcsname}%
+ \ifx\pgfplots@error@coord\pgfutil@empty
+ \else
+ \pgfmathfloatparsenumber{\pgfplots@error@coord}%
+ \let\pgfplots@error@coord=\pgfmathresult
+ \pgfmathfloatparsenumber{\pgfplots@error@src}%
+ \let\pgfplots@error@src=\pgfmathresult
+ \ifnum#3=1
+ \pgfmathfloatadd@{\pgfplots@error@src}{\pgfplots@error@coord}%
+ \else
+ \pgfmathfloatsubtract@{\pgfplots@error@src}{\pgfplots@error@coord}%
+ \fi
+ \pgfmathlog@float{\pgfmathresult}%
+ \let\pgfplots@error@coord=\pgfmathresult
+ \fi
+ \or% explicit relative:
+ \edef\pgfplots@error@src{\csname pgfplots@#1arg\endcsname}%
+ \edef\pgfplots@error@coord{\csname pgfplots@error@#1arg\endcsname}%
+ \ifx\pgfplots@error@coord\pgfutil@empty
+ \else
+ \pgfmathparse{\pgfplots@error@src + ln(1#2 \pgfplots@error@coord)}%
+ \let\pgfplots@error@coord=\pgfmathresult%
+ \fi
+ \fi
+ \fi
+ \ifx\pgfplots@error@coord\pgfutil@empty
+ \else
+ \def\pgfplots@loc@TMPa{#1}%
+ \def\pgfplots@loc@TMPb{x}%
+ \ifx\pgfplots@loc@TMPa\pgfplots@loc@TMPb
+ \let\pgfplots@current@point@x=\pgfplots@error@coord
+ \let\pgfplots@current@point@y=\pgfplots@yarg
+ \pgfplots@update@limits@for@one@point
+ \edef\pgfplots@loc@TMPa{%
+ {(\pgfplots@xarg,\pgfplots@yarg)}%
+ {(\pgfplots@error@coord,\pgfplots@yarg)}%
+ }%
+ \else
+ \let\pgfplots@current@point@x=\pgfplots@xarg
+ \let\pgfplots@current@point@y=\pgfplots@error@coord
+ \pgfplots@update@limits@for@one@point
+ \edef\pgfplots@loc@TMPa{%
+ {(\pgfplots@xarg,\pgfplots@yarg)}%
+ {(\pgfplots@xarg,\pgfplots@error@coord)}%
+ }%
+ \fi
+ \expandafter\pgfplots@streamerrorbarcoords\pgfplots@loc@TMPa
+ \fi
+}
+% This routine is called at the begin of every plot.
+% It initialises a zero level stream.
+%
+% The default is to use '0' as zero level streams.
+%
+% This method is called as "precommand"; before any Tikz drawing
+% commands have been started.
+\def\pgfplots@initzerolevelhandler{%
+ \ifpgfplots@stackedmode
+ % ATTENTION: this thing here says:
+ % "draw zero level coordinates from list XYZ."
+ % But at the time of this initialisation, the list will be EMPTY!
+ %
+ % It will be filled later. That's ok, because
+ % \pgfplots@initzerolevelhandler will be
+ % used as 'precommand', that means before Tikz sees any
+ % coordinates.
+ \pgfplots@stacked@initzerolevelhandler
+ \else
+ \pgfplotxzerolevelstreamconstant{\pgfplots@ZERO@x}%
+ \pgfplotyzerolevelstreamconstant{\pgfplots@ZERO@y}%
+ \fi
+}
+
+% This code is mainly interesting for bar plots.
+%
+% It precomputes x = 0 and y = 0 - which is not necessarily
+% trivial in case of data scaling. Furthermore, it applies
+% coordinate clipping to the resulting values and multiplies them
+% with x- and y scale vectors.
+\def\pgfplots@prepare@ZERO@coordinates{%
+ \ifpgfplots@xislinear
+ \ifpgfplots@apply@datatrafo@x
+ \pgfplots@datascaletrafo@fromfixed@x{0}%
+ \global\let\pgfplots@logical@ZERO@x=\pgfmathresult
+ \else
+ \gdef\pgfplots@logical@ZERO@x{0}%
+ \fi
+ \pgfplotsmathmax{\pgfplots@logical@ZERO@x}{\pgfplots@xmin}%
+ \global\let\pgfplots@logical@ZERO@x=\pgfmathresult
+ \else
+ \global\let\pgfplots@logical@ZERO@x=\pgfplots@xmin%
+ \fi
+ %
+ \ifpgfplots@yislinear
+ \ifpgfplots@apply@datatrafo@y
+ \pgfplots@datascaletrafo@fromfixed@y{0}%
+ \global\let\pgfplots@logical@ZERO@y=\pgfmathresult
+ \else
+ \gdef\pgfplots@logical@ZERO@y{0}%
+ \fi
+ \pgfplotsmathmax{\pgfplots@logical@ZERO@y}{\pgfplots@ymin}%
+ \global\let\pgfplots@logical@ZERO@y=\pgfmathresult
+ \else
+ \global\let\pgfplots@logical@ZERO@y=\pgfplots@ymin%
+ \fi
+ %
+ \ifpgfplots@threedim
+ \ifpgfplots@zislinear
+ \ifpgfplots@apply@datatrafo@z
+ \pgfplots@datascaletrafo@fromfixed@z{0}%
+ \global\let\pgfplots@logical@ZERO@z=\pgfmathresult
+ \else
+ \gdef\pgfplots@logical@ZERO@z{0}%
+ \fi
+ \pgfplotsmathmax{\pgfplots@logical@ZERO@z}{\pgfplots@zmin}%
+ \global\let\pgfplots@logical@ZERO@z=\pgfmathresult
+ \else
+ \global\let\pgfplots@logical@ZERO@z=\pgfplots@zmin%
+ \fi
+ \fi
+ %
+ %
+ \pgfinterruptboundingbox%
+ \ifpgfplots@threedim
+ \pgfplotsqpointxyz{\pgfplots@logical@ZERO@x}{\pgfplots@logical@ZERO@y}{\pgfplots@logical@ZERO@z}%
+ \else
+ \pgfplotsqpointxy{\pgfplots@logical@ZERO@x}{\pgfplots@logical@ZERO@y}%
+ \fi
+ \xdef\pgfplots@ZERO@x{\the\pgf@x}%
+ \xdef\pgfplots@ZERO@y{\the\pgf@y}%
+ \endpgfinterruptboundingbox%
+}%
+