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-rw-r--r--Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_loader.code.tex56
-rw-r--r--Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_patches.code.tex18
-rw-r--r--Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgflibraryfpu.code.tex199
-rw-r--r--Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgflibraryluamath.code.tex540
-rw-r--r--Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgfmathfloat.code.tex69
-rw-r--r--Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_tikzexternalshared.code.tex24
-rw-r--r--Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_trig_format.code.tex37
7 files changed, 880 insertions, 63 deletions
diff --git a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_loader.code.tex b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_loader.code.tex
index 8b5a3eaa055..ced1ab3c95b 100644
--- a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_loader.code.tex
+++ b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_loader.code.tex
@@ -17,6 +17,7 @@
}%
}%
+
\def\pgfmathfloatrounddisplaystyle@shared@impl@WRONG#1#2{%
{\toks0={#1}%
\toks1=\expandafter{\pgfmathfloatrounddisplaystyle@e@mark #2}%
@@ -60,9 +61,10 @@
}%
}%
-\pgfutil@ifundefined{pgfmathdeclarepseudoconstant}{
+\pgfutil@ifundefined{pgfmathfloatatan2}{
\immediate\write16{Package pgfplots: loading complementary arithmetics for your pgf version...}
\input pgfplotsoldpgfsupp_pgflibraryfpu.code.tex
+ \input pgfplotsoldpgfsupp_pgfmathfloat.code.tex
}
{}%
@@ -88,5 +90,57 @@
}%
}{}%
+\ifpgfplots@LUA@supported
+ \def\PATCH@pgfmath@local@function@body#1;{%
+ \def\pgfmath@local@body{#1}%
+ \begingroup%
+ \c@pgf@counta=0\relax%
+ \ifx\pgfmath@local@args\pgfmath@empty%
+ \expandafter\pgfmath@toks\expandafter=\expandafter{\pgfmath@local@body}%
+ \else%
+ \pgfmath@toks={}%
+ \expandafter\pgfmath@local@function@@body\pgfmath@local@args,,%
+ \fi%
+ \xdef\pgfmath@local@temp{%
+ \noexpand\pgfmathnotifynewdeclarefunction{\pgfmath@local@name}{\the\c@pgf@counta}%
+ {\the\pgfmath@toks}%
+ }%
+ \endgroup%
+ \pgfmath@local@temp%
+ }
+ % #1: the name
+ % #2: the number of arguments <n>
+ % #3: a math expression containing '#1', '#2', ... ,'#'<n>
+ % This callback is overwritten by pgflibraryluamath.
+ \def\PATCH@pgfmathnotifynewdeclarefunction#1#2#3{%
+ \pgfmathdeclarefunction{#1}{#2}{\pgfmathparse{#3}}%
+ }%
+ %
+ % currently, pgfplots does NOT call directly call any TeX macros
+ % from this library - but it relies on the fact that "trig
+ % format", \pgfmathsetseed and other configuration macros also
+ % mirror their values in LUA.
+ % And this mirroring is done in library luamath:
+ \def\pgfplots@glob@TMPa{3.0.0}%
+ \ifx\pgfversion\pgfplots@glob@TMPa
+ % 3.0.0 does not have the (correct) luamath library.
+ \let\pgfmathnotifynewdeclarefunction=\PATCH@pgfmathnotifynewdeclarefunction
+ \let\pgfmath@local@function@body=\PATCH@pgfmath@local@function@body
+ \pgfplotsusecompatibilityfile{pgflibraryluamath.code.tex}
+ \else
+ \pgfutil@IfFileExists{pgflibraryluamath.code.tex}{%
+ % ah - we have a very recent version of PGF.
+ % Well, it will hopefully come with a suitable version of the
+ % luamath library! Use it.
+ \usepgflibrary{luamath}%
+ }{%
+ % hm. PGF 2.10 ?
+ %
+ % FIXME
+ %\pgfplots@LUA@supportedfalse
+ }%
+ \fi
+\fi
+
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_patches.code.tex b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_patches.code.tex
deleted file mode 100644
index 698769ec1e5..00000000000
--- a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_patches.code.tex
+++ /dev/null
@@ -1,18 +0,0 @@
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%% This file contains patches on top of PGF/Tikz.
-%%%
-%%% It has been copied here to provide :
-%%% - compatibility with older PGF versions
-%%% - availability of PGF contributions by Christian Feuersaenger
-%%% which are necessary or helpful for pgfplots.
-%%%
-%%% For reasons of simplicity, I have copied the whole file, including own contributions AND
-%%% PGF parts. The copyrights are as they appear in PGF.
-%%%
-%%% Note that pgfplots has compatible licenses.
-%%%
-%%% This copy has been modified in the following ways:
-%%% - nested \input commands have been updated
-%%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
diff --git a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgflibraryfpu.code.tex b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgflibraryfpu.code.tex
index c45a35f60c8..8b5784c1172 100644
--- a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgflibraryfpu.code.tex
+++ b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgflibraryfpu.code.tex
@@ -19,7 +19,7 @@
% with the deployment of this patch or partial content of PGF. Note that the author and/or maintainer of pgfplots has no obligation to fix anything:
% This file comes without any warranty as the rest of pgfplots; there is no obligation for help.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%% Date of this copy: Di 25. Dez 18:14:20 CET 2012 %%%
+%%% Date of this copy: So 11. Jan 18:03:19 CET 2015 %%%
@@ -182,24 +182,13 @@
\expandafter\let\expandafter#1\csname pgfmathfloat@backup@\string#1\endcsname%
}%
}
-\def\pgfmathfloat@prepareuninstallcmd@csname#1{%
- % and store backup information (globally - I don't want to do that
- % all the time when the FPU is used!):
- {%
- \globaldefs=1
- \pgfutil@namelet{pgfmathfloat@backup@#1}{#1}%
- \expandafter\gdef\expandafter\pgfmathfloat@uninstall\expandafter{\pgfmathfloat@uninstall
- \pgfutil@namelet{#1}{pgfmathfloat@backup@#1}%
- }%
- }%
-}
\def\pgfmathfloat@install#1=#2{%
\pgfmathfloat@prepareuninstallcmd{#1}%
\let#1=#2%
}
\def\pgfmathfloat@install@csname#1#2{%
- \pgfmathfloat@prepareuninstallcmd@csname{#1}%
+ \expandafter\pgfmathfloat@prepareuninstallcmd\csname #1\endcsname%
\pgfutil@namelet{#1}{#2}%
}
\def\pgfmathfloat@install@unimplemented#1{%
@@ -238,6 +227,7 @@
\pgfmathfloat@install\pgfmathmultiply@=\pgfmathfloatmultiply@%
\pgfmathfloat@install\pgfmathdivide@=\pgfmathfloatdivide@%
\pgfmathfloat@install\pgfmathabs@=\pgfmathfloatabs@%
+ \pgfmathfloat@install\pgfmathsign@=\pgfmathfloatsign@%
\pgfmathfloat@install\pgfmathround@=\pgfmathfloatround@%
\pgfmathfloat@install\pgfmathfloor@=\pgfmathfloatfloor@%
\pgfmathfloat@install\pgfmathmod@=\pgfmathfloatmod@%
@@ -293,13 +283,13 @@
\pgfmathfloat@install\pgfmathcosh@=\pgfmathfloatcosh@
\pgfmathfloat@install\pgfmathsinh@=\pgfmathfloatsinh@
\pgfmathfloat@install\pgfmathtanh@=\pgfmathfloattanh@
+ \expandafter\pgfmathfloat@install\csname pgfmathatan2@\endcsname=\pgfmathfloatatantwo@
\pgfmathfloat@install@unimplemented{ceil}%
\pgfmathfloat@install@unimplemented{frac}%
\pgfmathfloat@install@unimplemented{random}%
\pgfmathfloat@install@unimplemented{setseed}%
\pgfmathfloat@install@unimplemented{Mod}%
\pgfmathfloat@install@unimplemented{real}%
-% \pgfmathfloat@install@unimplemented{atan2}%
% \pgfmathfloat@install@unimplemented{height}%
%
%
@@ -333,6 +323,21 @@
\pgfmathfloat@install\pgfmath@parse@exponent=\pgfmathfloat@parse@float@or@exponent
%
\pgfmathfloat@install\pgfmathparse=\pgfmathfloatparse%
+ %\pgfmathfloat@install\pgfmathparse@trynumber@token=\pgfmathfloat@parse@trynumber@token
+ \pgfmathfloat@install\pgfmathparse@expression@is@number=\pgfmathfloat@parse@expression@is@number
+}%
+
+% This here might bring speed improvements... if implemented
+% correctly.
+% However, this heuristics might fail in cases like "1+1" vs "1e+1" ...
+%\def\pgfmathfloat@parse@trynumber@token{numericfpu}
+%\pgfmath@tokens@make{numericfpu}{eE+-Y.0123456789}
+
+\def\pgfmathfloat@parse@expression@is@number{%
+ \pgfmathfloatparsenumber{\pgfmath@expression}%
+ \pgfmath@smuggleone\pgfmathresult%
+ \endgroup
+ \ignorespaces
}%
\def\pgfmathfloat@defineadapter@for@pgf@two@null@null@ONEARG#1{%
@@ -1018,7 +1023,7 @@
\if#2+%
\pgfmathfloatifflags{#1}{1}{#3}{#4}%
\else
- \pgfmathfloatgetflagstomacro#1\pgfmathfloat@loc@TMPa
+ \pgfmathfloatgetflagstomacro{#1}\pgfmathfloat@loc@TMPa
\if#2u%
\ifnum\pgfmathfloat@loc@TMPa>2
#3\relax
@@ -1501,7 +1506,34 @@
\pgfmath@smuggleone\pgfmathresult
\endgroup
}%
-\let\pgfmathfloatabs=\pgfmathfloatabs@
+%
+% Defines \pgfmathresult to be sign(#1)
+\def\pgfmathfloatsign@#1{%
+ \begingroup
+ \expandafter\pgfmathfloat@decompose@tok#1\relax\pgfmathfloat@a@S\pgfmathfloat@a@Mtok\pgfmathfloat@a@E
+ \ifcase\pgfmathfloat@a@S
+ % 0:
+ \pgfmathfloatcreate{0}{0.0}{0}%
+ \or
+ % +: ok, is positive.
+ \pgfmathfloatcreate{1}{1.0}{0}%
+ \or
+ % -:
+ \pgfmathfloatcreate{2}{1.0}{0}%
+ \or
+ % nan: do nothing.
+ \pgfmathfloatcreate{\the\pgfmathfloat@a@S}{\the\pgfmathfloat@a@Mtok}{\the\pgfmathfloat@a@E}%
+ \or
+ % +infty:.
+ \pgfmathfloatcreate{1}{1.0}{0}%
+ \or
+ % -infty:
+ \pgfmathfloatcreate{2}{1.0}{0}%
+ \fi
+ \pgfmath@smuggleone\pgfmathresult
+ \endgroup
+}%
+\let\pgfmathfloatsign=\pgfmathfloatsign@
% Computes the absolute error |#1 - #2| into \pgfmathresult.
\def\pgfmathfloatabserror@#1#2{%
@@ -1519,8 +1551,8 @@
\let\pgfmathresult=\pgfmathfloat@subtract
}{%
\pgfmathfloatdivide@{\pgfmathfloat@subtract}{#2}%
- \pgfmathfloatabs@{\pgfmathresult}%
}%
+ \pgfmathfloatabs@{\pgfmathresult}%
}%
\let\pgfmathfloatrelerror=\pgfmathfloatrelerror@
@@ -1592,14 +1624,27 @@
%
% #1 is a one-argument macro which assigns \pgfmathresult.
\def\pgfmathfloatTRIG@#1#2{%
- \expandafter\ifx\csname pgfmathfloatTRIG@NUM\endcsname\relax%
- % Lazy evaluation:
- \pgfmathfloatcreate{1}{3.6}{2}%
- \global\let\pgfmathfloatTRIG@NUM=\pgfmathresult
- \pgfmathfloatcreate{1}{2.77777777777778}{-3}%
- \global\let\pgfmathfloatTRIG@NUM@INV=\pgfmathresult
+ \if0\pgfmath@trig@format@choice
+ % trig format=deg
+ \expandafter\ifx\csname pgfmathfloatTRIG@NUM\endcsname\relax%
+ % Lazy evaluation:
+ \pgfmathfloatcreate{1}{3.6}{2}%
+ \global\let\pgfmathfloatTRIG@NUM=\pgfmathresult
+ \pgfmathfloatcreate{1}{2.77777777777778}{-3}%
+ \global\let\pgfmathfloatTRIG@NUM@INV=\pgfmathresult
+ \fi
+ \pgfmathfloatmodknowsinverse@{#2}{\pgfmathfloatTRIG@NUM}{\pgfmathfloatTRIG@NUM@INV}%
+ \else
+ % trig format=rad
+ \expandafter\ifx\csname pgfmathfloatTRIG@rad@NUM\endcsname\relax%
+ % Lazy evaluation:
+ \pgfmathfloatcreate{1}{6.28318530717959}{0}%
+ \global\let\pgfmathfloatTRIG@rad@NUM=\pgfmathresult
+ \pgfmathfloatcreate{1}{1.59154943091895}{-1}%
+ \global\let\pgfmathfloatTRIG@rad@NUM@INV=\pgfmathresult
+ \fi
+ \pgfmathfloatmodknowsinverse@{#2}{\pgfmathfloatTRIG@rad@NUM}{\pgfmathfloatTRIG@rad@NUM@INV}%
\fi
- \pgfmathfloatmodknowsinverse@{#2}{\pgfmathfloatTRIG@NUM}{\pgfmathfloatTRIG@NUM@INV}%
\pgfmathfloattofixed@{\pgfmathresult}%
\expandafter#1\expandafter{\pgfmathresult}%
\pgfmathfloatparsenumber{\pgfmathresult}%
@@ -1643,11 +1688,19 @@
\fi
\pgfmathfloatgreaterthan@{#1}{\pgfmathfloatatan@TMP}%
\ifpgfmathfloatcomparison
- \pgfmathfloatcreate{1}{9.0}{1}%
+ \pgfmathiftrigonometricusesdeg{%
+ \pgfmathfloatcreate{1}{9.0}{1}%
+ }{%
+ \pgfmathfloatcreate{1}{1.570796326794}{0}%
+ }%
\else
\pgfmathfloatlessthan{#1}{\pgfmathfloatatan@TMPB}%
\ifpgfmathfloatcomparison
- \pgfmathfloatcreate{2}{9.0}{1}%
+ \pgfmathiftrigonometricusesdeg{%
+ \pgfmathfloatcreate{2}{9.0}{1}%
+ }{%
+ \pgfmathfloatcreate{2}{1.570796326794}{0}%
+ }%
\else
\pgfmathfloattofixed@{#1}%
\expandafter\pgfmath@basic@atan@\expandafter{\pgfmathresult}%
@@ -1659,6 +1712,75 @@
}%
\let\pgfmathfloatatan=\pgfmathfloatatan@
+\def\pgfmathfloatatantwo#1#2{%
+ % Note: first parameter is y (!), second is x (!)
+ \begingroup%
+ \let\pgfmath@trig@format@choice@@=\pgfmath@trig@format@choice
+ \def\pgfmath@trig@format@choice{0}%
+ %
+ \expandafter\pgfmathfloat@decompose@tok#1\relax\pgfmathfloat@a@S\pgfmathfloat@a@Mtok\pgfmathfloat@a@E
+ \expandafter\pgfmathfloat@decompose#2\relax\pgfmathfloat@b@S\pgfmathfloat@b@M\pgfmathfloat@b@E
+ \ifnum\pgfmathfloat@a@S=0
+ \pgfmathfloat@a@E=-16 %
+ \fi
+ %
+ \ifnum\pgfmathfloat@a@E<-3 %
+ \ifnum\pgfmathfloat@b@S=2 %
+ % #2 < 0
+ \pgfmathfloatcreate{1}{1.8}{2}% +180
+ \else
+ \ifnum\pgfmathfloat@b@S=1 %
+ % #2 >0
+ \pgfmathfloatcreate{0}{0.0}{0}%
+ \else
+ % + or - 90, just use the sign of #1:
+ \pgfmathfloatcreate{\the\pgfmathfloat@a@S}{9.0}{1}%
+ \fi
+ \fi
+ \else%
+ \pgfmathfloatabs@{#1}\let\pgfmath@tempa\pgfmathresult%
+ \pgfmathfloatabs@{#2}\let\pgfmath@tempb\pgfmathresult%
+ \pgfmathfloatgreaterthan@{\pgfmath@tempa}{\pgfmath@tempb}%
+ \ifpgfmathfloatcomparison
+ \pgfmathfloatdivide@{#2}{\pgfmath@tempa}%
+ \expandafter\pgfmathfloatatan@\expandafter{\pgfmathresult}%
+ \let\pgfmath@tempa=\pgfmathresult
+ \pgfmathfloatcreate{1}{9.0}{1}%
+ \let\pgfmath@tempb=\pgfmathresult
+ \pgfmathfloatsubtract@{\pgfmath@tempb}{\pgfmath@tempa}%
+ \else%
+ \pgfmathfloatdivide@{\pgfmath@tempa}{#2}%
+ \expandafter\pgfmathfloatatan@\expandafter{\pgfmathresult}%
+ \expandafter\pgfmathfloatifflags\expandafter{\pgfmathresult}{2}{%
+ \let\pgfmath@tempa=\pgfmathresult
+ \pgfmathfloatcreate{1}{1.8}{2}%
+ \let\pgfmath@tempb=\pgfmathresult
+ \pgfmathfloatadd@{\pgfmath@tempa}{\pgfmath@tempb}%
+ }{}%
+ \fi%
+ %
+ \pgfmathfloatifflags{#1}{-}{%
+ % #1 < 0:
+ \pgfmathfloatmultiplyfixed@{\pgfmathresult}{-1}%
+ }{}%
+ \fi%
+ \if1\pgfmath@trig@format@choice@@
+ % trig format=rad
+ \pgfmathfloat@scale@deg@to@rad\pgfmathresult
+ \fi
+ \pgfmath@smuggleone\pgfmathresult%
+ \endgroup%
+}%
+\let\pgfmathfloatatantwo@=\pgfmathfloatatantwo
+\expandafter\let\csname pgfmathfloatatan2\endcsname=\pgfmathfloatatantwo
+\expandafter\let\csname pgfmathfloatatan2@\endcsname=\pgfmathfloatatantwo@
+
+\def\pgfmathfloat@scale@deg@to@rad#1{%
+ \edef\pgfmathfloat@loc@TMPb{#1}%
+ \pgfmathfloatcreate{1}{1.74532925199433}{-2}% = pi / 180
+ \pgfmathfloatmultiply@{\pgfmathresult}{\pgfmathfloat@loc@TMPb}%
+}%
+
\def\pgfmathfloatsec@#1{\pgfmathfloatTRIG@\pgfmath@basic@cos@{#1}\pgfmathfloatreciprocal@{\pgfmathresult}}
\let\pgfmathfloatsec=\pgfmathfloatsec@
\def\pgfmathfloatcosec@#1{\pgfmathfloatTRIG@\pgfmath@basic@sin@{#1}\pgfmathfloatreciprocal@{\pgfmathresult}}
@@ -1905,12 +2027,25 @@
\divide\c@pgfmath@counta by2\relax%
\repeatpgfmathloop%
\else
- % employ #1^#2 = exp( #2 * ln(#1) )
- \pgfmathfloatln@{#1}%
- \let\pgfmathfloat@loc@TMPa=\pgfmathresult
- \edef\pgfmathfloat@loc@TMPb{#2}%
- \pgfmathfloatmultiply@{\pgfmathfloat@loc@TMPa}{\pgfmathfloat@loc@TMPb}%
- \pgfmathfloatexp@{\pgfmathresult}%
+ \pgfmathfloatgetflags{#1}\c@pgfmath@counta
+ \ifnum0=\c@pgfmath@counta
+ % ah: 0^x
+ \pgfmathfloatgetflags{#2}\c@pgfmath@counta
+ \ifnum0=\c@pgfmath@counta
+ % ah: 0^0
+ \pgfmathfloatcreate{1}{1.0}{0}%
+ \else
+ % ah: 0^x with x!=0:
+ \pgfmathfloatcreate{0}{0.0}{0}%
+ \fi
+ \else
+ % employ #1^#2 = exp( #2 * ln(#1) )
+ \pgfmathfloatln@{#1}%
+ \let\pgfmathfloat@loc@TMPa=\pgfmathresult
+ \edef\pgfmathfloat@loc@TMPb{#2}%
+ \pgfmathfloatmultiply@{\pgfmathfloat@loc@TMPa}{\pgfmathfloat@loc@TMPb}%
+ \pgfmathfloatexp@{\pgfmathresult}%
+ \fi
\fi
}
diff --git a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgflibraryluamath.code.tex b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgflibraryluamath.code.tex
new file mode 100644
index 00000000000..28de0607b25
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgflibraryluamath.code.tex
@@ -0,0 +1,540 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% This file is a copy of some part of PGF/Tikz.
+%%% It has been copied here to provide :
+%%% - compatibility with older PGF versions
+%%% - availability of PGF contributions by Christian Feuersaenger
+%%% which are necessary or helpful for pgfplots.
+%%%
+%%% For reasons of simplicity, I have copied the whole file, including own contributions AND
+%%% PGF parts. The copyrights are as they appear in PGF.
+%%%
+%%% Note that pgfplots has compatible licenses.
+%%%
+%%% This copy has been modified in the following ways:
+%%% - nested \input commands have been updated
+%%%
+%
+% Support for the contents of this file will NOT be done by the PGF/TikZ team.
+% Please contact the author and/or maintainer of pgfplots (Christian Feuersaenger) if you need assistance in conjunction
+% with the deployment of this patch or partial content of PGF. Note that the author and/or maintainer of pgfplots has no obligation to fix anything:
+% This file comes without any warranty as the rest of pgfplots; there is no obligation for help.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% Date of this copy: Do 1. Jan 22:31:46 CET 2015 %%%
+
+
+
+% Copyright 2011 by Christophe Jorssen and Mark Wibrow
+% Copyright 2014 by Christian Feuersänger
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+%
+% $Id: pgflibraryluamath.code.tex,v 1.19 2014/12/27 14:11:49 cfeuersaenger Exp $
+%
+% !!! Warning: this library does not work with fpu!!!
+%
+%
+% This is a library for a LUA math parser and LUA math operations.
+% Advantage compared to its TeX pendant: it is FASTER and has HIGHER
+% ACCURACY.
+% Disadvantage: any function declared by means of
+% \pgfmathdeclarefunction is NOT automatically transported to the LUA
+% side (at the time of this writing).
+% LUA functions need to be defined by means of LUA code
+%
+% function pgfluamathfunctions.myoperation(a,b)
+% return a*2*b
+% end
+%
+% this will automatically set up 'myoperation' for use in
+% \pgfluamathparse{myoperation(4,2)}
+%
+% The library has TWO use-cases which are more or less distinct: one
+% is to use LUA for all math function, but not for math expression
+% parsing -- this was still under control of the TeX math parser.
+% This approach works like the 'fpu' library.
+%
+% The second approach is to use LUA to parse all math expressions -
+% but if someone calls \pgfmathadd@{1}{2}, it would use the TeX
+% command. This approach is relatively lightweight because it does not
+% need to substitute all \pgfmath* macros.
+%
+% One can mix both modes.
+
+% *******************************************************************
+% Some luatex stuff. Should be put elsewhere (e.g. in
+% pgfutil-luatex-engine).
+
+\edef\pgfliblua@oldcatcodedoublequote{\the\catcode`\"}%
+\catcode`\"=12
+
+% We assume luatex version > 0.39:
+% - \directlua <general text> will work
+% - \directlua is the only luatex primitive that we can assume
+% accessible without being prefixed by the format via
+% tex.enableprimitives.
+% Ideas taken from the ifluatex package (Heiko Oberdiek)
+\let\pgfutil@ifluatex\iffalse
+\begingroup\expandafter\expandafter\expandafter\endgroup
+\expandafter\ifx\csname directlua\endcsname\relax
+\else
+ \expandafter\let\csname pgfutil@ifluatex\expandafter\endcsname
+ \csname iftrue\endcsname
+\fi
+
+\pgfutil@ifluatex
+ \let\pgfutil@directlua\directlua
+ \pgfutil@directlua{%
+ tex.enableprimitives('pgfutil@',{'luaescapestring'})}
+\else
+ \def\pgfutil@directlua#1{}
+ \def\pgfutil@luaescapestring#1{}
+\fi
+
+\pgfutil@directlua{%
+ pgfluamathfunctions = require("pgfplotsoldpgfsupp.luamath.functions")
+ pgfluamathparser = require("pgfplotsoldpgfsupp.luamath.parser")}
+
+
+% Patch some configuration macros such that the modifications are
+% available in LUA as well:
+\pgfkeys{
+ /pgf/trig format/deg/.add code={}{\directlua{pgfluamathfunctions.setTrigFormat("deg")}\aftergroup\pgfmath@settrigformat},
+ /pgf/trig format/rad/.add code={}{\directlua{pgfluamathfunctions.setTrigFormat("rad")}\aftergroup\pgfmath@settrigformat},
+}
+% ... and reactivate the key:
+\pgfmathiftrigonometricusesdeg{%
+ \pgfkeys{/pgf/trig format/deg}%
+}{%
+ \pgfkeys{/pgf/trig format/rad}%
+}%
+
+% re-activates the current trig format. This is important after a TeX
+% group has been closed.
+\def\pgfmath@settrigformat{%
+ \pgfmathiftrigonometricusesdeg{%
+ \directlua{pgfluamathfunctions.setTrigFormat("deg")}%
+ }{%
+ \directlua{pgfluamathfunctions.setTrigFormat("rad")}%
+ }%
+}%
+
+\let\pgfmathsetseed@pgfbasic = \pgfmathsetseed
+\def\pgfmathsetseed#1{%
+ \pgfmathsetseed@pgfbasic{#1}%
+ \directlua{pgfluamathfunctions.setRandomSeed(pgfluamathfunctions.tonumber("\pgfmathresult"))}%
+}%
+
+% Patch 'declare function' such that it communicates the function
+% directly to LUA.
+\let\pgfmathnotifynewdeclarefunction@orig=\pgfmathnotifynewdeclarefunction
+\def\pgfmathnotifynewdeclarefunction#1#2#3{%
+ \pgfmathnotifynewdeclarefunction@orig{#1}{#2}{#3}%
+ \directlua{pgfluamathparser.pushLocalExpressionFunction(%
+ "\pgfutil@luaescapestring{#1}",%
+ #2,%
+ "\pgfutil@luaescapestring{#3}")}%
+ %
+ % ensure that the local function is removed at the end of the
+ % scope. To this end, we maintain a stack on the LUA side.
+ \aftergroup\pgfluamathparse@pop@local@function
+}%
+
+\def\pgfluamathparse@pop@local@function{%
+ \directlua{pgfluamathparser.popLocalExpressionFunction()}%
+}%
+
+% End of luatex stuff
+% *******************************************************************
+
+% Loading part: based on fpu library
+
+
+% if LUA failed to evaluate the expression, it will be evaluated in
+% TeX as fallback. This boolean defines if the error message shall be
+% shown or suppressed. The default is to suppress it and show any
+% resulting TeX errors.
+%
+% If LUA fails \pgfmathresult will be empty.
+%
+% This is actually only for debugging; it will be set implicitly when
+% activating/deactivating TeX fallback.
+\newif\ifpgfluamathshowerrormessage
+
+% Defines what happens if LUA failed to evaluate the expression: if
+% this is true, the TeX parser will be invoked as fallback.
+%
+% This happens
+% - for \chardef'ed boxes for which LUA lacks evaluation capabilities
+% - if the expression includes some function which is unavailable in
+% LUA (defined only in TeX)
+% - some special cases which simply haven't been added to the LUA
+% parser (yet).
+% At the time of this writing, this includes
+% -- arrays created via '{}' and indexed with '[]'
+% -- strings with "<str>"
+% -- 'scalar' function
+% -- hex/octal/binary input
+\newif\ifpgfluamathenableTeXfallback
+
+\newif\ifpgfluamathcomputationactive
+\newif\ifpgfluamathparseractive
+
+\def\pgfluamath@makecomputationactive{%
+ \ifpgfluamathcomputationactive
+ \else
+ \pgfluamath@checkuninstallcmd%
+ \pgfluamath@install%
+ \pgfluamathcomputationactivetrue
+ \fi}
+
+\def\pgfluamath@makecomputationinactive{%
+ \ifpgfluamathcomputationactive
+ \pgfluamath@uninstall%
+ \pgfluamathcomputationactivefalse
+ \fi}
+
+\let\pgfluamath@pgfmathparse\pgfmathparse
+\def\pgfluamath@makeparseractive{%
+ \ifpgfluamathparseractive
+ \else
+ \let\pgfluamath@pgfmathparse\pgfmathparse
+ \let\pgfmathparse\pgfluamathparse
+ \pgfluamathparseractivetrue
+ \fi}
+
+\def\pgfluamath@makeparserinactive{%
+ \ifpgfluamathparseractive
+ \let\pgfmathparse\pgfluamath@pgfmathparse
+ \pgfluamathparseractivefalse
+ \fi}
+
+\pgfqkeys{/pgf}{%
+ % Enable lua-side computation of \pgfmathresult
+ % (will be deactivated after the current TeX group)
+ luamath/.is choice,
+ luamath/only computation/.code={%
+ \pgfutil@ifluatex
+ \pgfluamath@makecomputationactive
+ \pgfluamath@makeparserinactive
+ \else
+ \pgfmath@error{Sorry, you need the luaTeX engine to use the
+ luamath library}%
+ \fi},
+ luamath/parser and computation/.code={%
+ \pgfutil@ifluatex
+ \pgfluamath@makecomputationactive
+ \pgfluamath@makeparseractive
+ \else
+ \pgfmath@error{Sorry, you need the luaTeX engine to use the
+ luamath library}%
+ \fi},
+ luamath/off/.code={%
+ \pgfluamath@makecomputationinactive
+ \pgfluamath@makeparserinactive},
+ luamath/.default=only computation,
+ %
+ % activates ONLY the parser. This is fast and does not replace the
+ % \pgfmath* functions.
+ % @see |parser and computation| which also allows to write
+ % \pgfmathadd{1}{2} to call LUA
+ luamath/parser/.code={%
+ \pgfutil@ifluatex
+ \pgfluamath@makeparseractive
+ \else
+ \pgfmath@error{Sorry, you need the luaTeX engine to use the
+ luamath library}%
+ \fi
+ },
+ luamath/output format/.is choice,
+ luamath/output format/fixed/.code= {\def\pgfluamath@outputformat@choice{0}},
+ % returns results for use in the FPU
+ luamath/output format/float/.code= {\def\pgfluamath@outputformat@choice{1}},
+ luamath/output format/fixed,
+ % this is merely useful for debugging purposes, I guess.
+ luamath/show error message/.is if=pgfluamathshowerrormessage,
+ luamath/enable TeX fallback/.is choice,
+ luamath/enable TeX fallback/true/.code={\pgfluamathenableTeXfallbacktrue\pgfluamathshowerrormessagefalse},
+ luamath/enable TeX fallback/false/.code={\pgfluamathenableTeXfallbackfalse\pgfluamathshowerrormessagetrue},
+ luamath/enable TeX fallback/.default=true,
+ luamath/enable TeX fallback=true,
+}
+
+\def\pgfluamath@uninstall@appendcmd#1{%
+ \expandafter\gdef\expandafter\pgfluamath@uninstall\expandafter{%
+ \pgfluamath@uninstall #1}}
+
+% If the uninstall command is already assembled, it will skip the
+% uninstall assemblation.
+\def\pgfluamath@checkuninstallcmd{%
+ \pgfutil@ifundefined{pgfluamath@uninstall}{%
+ \global\let\pgfluamath@uninstall=\pgfutil@empty
+ }{%
+ % We already HAVE an uninstall command (prepared globally).
+ % So: don't waste time assembling one!
+ \def\pgfluamath@uninstall@appendcmd##1{}%
+ \def\pgfluamath@prepareuninstallcmd##1{}%
+ }%
+}
+
+% This assembles an uninstall command globally ON FIRST USAGE.
+% See \pgfmathfloat@plots@checkuninstallcmd
+\def\pgfluamath@prepareuninstallcmd#1{%
+ \expandafter\global\expandafter\let
+ \csname pgfluamath@backup@\string#1\endcsname=#1%
+ \expandafter\gdef\expandafter\pgfluamath@uninstall\expandafter{%
+ \pgfluamath@uninstall
+ \expandafter\let\expandafter#1\csname pgfluamath@backup@\string#1\endcsname}%
+}
+
+\def\pgfluamath@install@function#1=#2{%
+ \pgfluamath@prepareuninstallcmd{#1}%
+ \let#1=#2%
+}
+
+\def\pgfluamath@install{%
+ \pgfluamath@install@function\pgfmathadd@=\pgfluamathadd@%
+ \pgfluamath@install@function\pgfmathsubtract@=\pgfluamathsubtract@%
+ \pgfluamath@install@function\pgfmathneg@=\pgfluamathneg@%
+ \pgfluamath@install@function\pgfmathmultiply@=\pgfluamathmultiply@%
+ \pgfluamath@install@function\pgfmathdivide@=\pgfluamathdivide@%
+ % \pgfluamath@install@function\pgfmathdiv@=\pgfluamathdiv@%
+ \pgfluamath@install@function\pgfmathfactorial@=\pgfluamathfactorial@%
+ \pgfluamath@install@function\pgfmathsqrt@=\pgfluamathsqrt@%
+ % \pgfluamath@install@function\pgfmathpow@=\pgfluamathpow@%
+ \pgfluamath@install@function\pgfmathe@=\pgfluamathe@%
+ \pgfluamath@install@function\pgfmathexp@=\pgfluamathexp@%
+ \pgfluamath@install@function\pgfmathln@=\pgfluamathln@%
+ \pgfluamath@install@function\pgfmathlogten@=\pgfluamathlogten@%
+ % \pgfluamath@install@function\pgfmathlogtwo@=\pgfluamathlogtwo@%
+ \pgfluamath@install@function\pgfmathabs@=\pgfluamathabs@%
+ \pgfluamath@install@function\pgfmathmod@=\pgfluamathmod@%
+ \pgfluamath@install@function\pgfmathMod@=\pgfluamathMod@%
+ \pgfluamath@install@function\pgfmathround@=\pgfluamathround@%
+ \pgfluamath@install@function\pgfmathfloor@=\pgfluamathfloor@%
+ \pgfluamath@install@function\pgfmathceil@=\pgfluamathceil@%
+ % \pgfluamath@install@function\pgfmathint@=\pgfluamathint@%
+ % \pgfluamath@install@function\pgfmathfrac@=\pgfluamathfrac@%
+ % \pgfluamath@install@function\pgfmathreal@=\pgfluamathreal@%
+ \pgfluamath@install@function\pgfmathgcd@=\pgfluamathgcd@%
+ \pgfluamath@install@function\pgfmathisprime@=\pgfluamathisprime@%
+ \pgfluamath@install@function\pgfmathpi@=\pgfluamathpi@%
+ \pgfluamath@install@function\pgfmathrad@=\pgfluamathrad@%
+ \pgfluamath@install@function\pgfmathdeg@=\pgfluamathdeg@%
+ \pgfluamath@install@function\pgfmathsin@=\pgfluamathsin@%
+ \pgfluamath@install@function\pgfmathcos@=\pgfluamathcos@%
+ \pgfluamath@install@function\pgfmathtan@=\pgfluamathtan@%
+ \pgfluamath@install@function\pgfmathsec@=\pgfluamathsec@%
+ \pgfluamath@install@function\pgfmathcosec@=\pgfluamathcosec@%
+ \pgfluamath@install@function\pgfmathcot@=\pgfluamathcot@%
+ \pgfluamath@install@function\pgfmathasin@=\pgfluamathasin@%
+ \pgfluamath@install@function\pgfmathacos@=\pgfluamathacos@%
+ \pgfluamath@install@function\pgfmathatan@=\pgfluamathatan@%
+ \pgfluamath@install@function\pgfmathatantwo@=\pgfluamathatantwo@%
+ \pgfluamath@install@function\pgfmathmax@=\pgfluamathmax@%
+ \pgfluamath@install@function\pgfmathmin@=\pgfluamathmin@%
+ % \pgfluamath@install@function\pgfmath@pi=\pgfluamathpi@%
+ % \pgfluamath@install@function\pgfmathpi=\pgfluamathpi@%
+ % \pgfluamath@install@function\pgfmathe@=\pgfluamathe@%
+ % \pgfluamath@install@function\pgfmathe=\pgfluamathe@%
+ % \pgfluamath@install@function\pgfmathlessthan@=\pgfluamathlessthan@%
+ % \pgfluamath@install@function\pgfmathless@=\pgfluamathlessthan@%
+ % \pgfluamath@install@function\pgfmathgreaterthan@=\pgfluamathgreaterthan@%
+ % \pgfluamath@install@function\pgfmathgreater@=\pgfluamathgreaterthan@%
+ % \pgfluamath@install@function\pgfmathpow@=\pgfluamathpow@
+ \pgfluamath@install@function\pgfmathrand@=\pgfluamathrand@
+ \pgfluamath@install@function\pgfmathrand=\pgfluamathrand@
+ \pgfluamath@install@function\pgfmathrnd@=\pgfluamathrnd@
+ \pgfluamath@install@function\pgfmathrnd=\pgfluamathrnd@
+ % \pgfluamath@install@function\pgfmathtrue@=\pgfluamathtrue@
+ % \pgfluamath@install@function\pgfmathfalse@=\pgfluamathfalse@
+ % \pgfluamath@install@function\pgfmathnot@=\pgfluamathnot@
+ % \pgfluamath@install@function\pgfmathhex@=\pgfluamathhex@
+ % \pgfluamath@install@function\pgfmathHex@=\pgfluamathHex@
+ % \pgfluamath@install@function\pgfmathoct@=\pgfluamathoct@
+ % \pgfluamath@install@function\pgfmathbin@=\pgfluamathbin@
+ % \pgfluamath@install@function\pgfmathand@=\pgfluamathand@
+ % \pgfluamath@install@function\pgfmathor@=\pgfluamathor@
+ % \pgfluamath@install@function\pgfmathfactorial@=\pgfluamathfactorial@
+ % \pgfluamath@install@function\pgfmathveclen@=\pgfluamathveclen@
+ % \pgfluamath@install@function\pgfmathcosh@=\pgfluamathcosh@
+ % \pgfluamath@install@function\pgfmathsinh@=\pgfluamathsinh@
+ % \pgfluamath@install@function\pgfmathtanh@=\pgfluamathtanh@
+ % \pgfluamath@install@function@unimplemented{ceil}%
+ % \pgfluamath@install@function@unimplemented{frac}%
+ % \pgfluamath@install@function@unimplemented{log2}%
+ % \pgfluamath@install@function@unimplemented{log10}%
+ % \pgfluamath@install@function@unimplemented{equalto}%
+ % \pgfluamath@install@function@unimplemented{random}%
+ % \pgfluamath@install@function@unimplemented{setseed}%
+ % \pgfluamath@install@function@unimplemented{Mod}%
+ % \pgfluamath@install@function@unimplemented{real}%
+ % \pgfluamath@install@function@unimplemented{notequal}%
+ \pgfluamath@install@function\pgfmathreciprocal=\pgfluamathreciprocal%
+ \pgfluamath@install@function\pgfpointnormalised=\pgfluamathpointnormalised
+}
+
+\def\pgfluamathgetresult#1{%
+ \edef\pgfmathresult{\pgfutil@directlua{tex.print(-1,#1)}}}
+
+\def\pgfluamathpi@{%
+ \pgfluamathgetresult{pgfluamathfunctions.pi()}}
+\def\pgfluamathe@{%
+ \pgfluamathgetresult{pgfluamathfunctions.e()}}
+\def\pgfluamathadd@#1#2{%
+ \pgfluamathgetresult{pgfluamathfunctions.add(#1,#2)}}
+\def\pgfluamathsubtract@#1#2{%
+ \pgfluamathgetresult{pgfluamathfunctions.substract(#1,#2)}}
+\def\pgfluamathneg@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.neg(#1)}}
+\def\pgfluamathmultiply@#1#2{%
+ \pgfluamathgetresult{pgfluamathfunctions.multiply(#1,#2)}}
+\def\pgfluamathdivide@#1#2{%
+ \pgfluamathgetresult{pgfluamathfunctions.divide(#1,#2)}}
+\def\pgfluamathabs@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.abs(#1)}}
+\def\pgfluamathround@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.round(#1)}}
+\def\pgfluamathfloor@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.floor(#1)}}
+\def\pgfluamathceil@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.ceil(#1)}}
+\def\pgfluamathgcd@#1#2{%
+ \pgfluamathgetresult{pgfluamathfunctions.gcd(#1,#2)}}
+\def\pgfluamathisprime@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.isprime(#1)}}
+\def\pgfluamathmax@#1{%
+ \pgfluamathgetresult{%
+ math.max(pgfluamathfunctions.split_braces_to_explist("#1"))}}
+\def\pgfluamathmin@#1{%
+ \pgfluamathgetresult{%
+ math.min(pgfluamathfunctions.split_braces_to_explist("#1"))}}
+\def\pgfluamathsin@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.Sin(#1)}}
+\def\pgfluamathcos@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.Cos(#1)}}
+\def\pgfluamathtan@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.Tan(#1)}}
+\def\pgfluamathmod@#1#2{%
+ \pgfluamathgetresult{pgfluamathfunctions.mod(#1,#2)}}
+\def\pgfluamathMod@#1#2{%
+ \pgfluamathgetresult{pgfluamathfunctions.Mod(#1,#2)}}
+\def\pgfluamathrad@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.rad(#1)}}
+\def\pgfluamathdeg@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.deg(#1)}}
+\def\pgfluamathatan@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.aTan(#1)}}
+\def\pgfluamathatantwo@#1#2{%
+ \pgfluamathgetresult{pgfluamathfunctions.aTan2(#1,#2)}}
+\def\pgfluamathasin@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.aSin(#1)}}
+\def\pgfluamathacos@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.aCos(#1)}}
+\def\pgfluamathcot@#1{%
+ \pgfluamathgetresult{1/pgfluamathfunctions.Tan(#1)}}
+\def\pgfluamathsec@#1{%
+ \pgfluamathgetresult{1/pgfluamathfunctions.Cos(#1)}}
+\def\pgfluamathcosec@#1{%
+ \pgfluamathgetresult{1/pgfluamathfunctions.Sin(#1)}}
+\def\pgfluamathexp@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.exp(#1)}}
+\def\pgfluamathln@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.log(#1)}}
+\def\pgfluamathlogten@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.log10(#1)}}
+\def\pgfluamathsqrt@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.sqrt(#1)}}
+\def\pgfluamathrnd@{%
+ \pgfluamathgetresult{pgfluamathfunctions.rnd()}}
+\def\pgfluamathrand@{%
+ \pgfluamathgetresult{pgfluamathfunctions.rand(-1,1)}}
+\def\pgfluamathfactorial@#1{%
+ \pgfluamathgetresult{pgfluamathfunctions.factorial(#1)}}
+\def\pgfluamathreciprocal#1{%
+ \pgfluamathgetresult{1/#1}}
+% \pgfluamath@install@function\pgfmath@pi=\pgfluamathpi@%
+% \pgfluamath@install@function\pgfmathpi=\pgfluamathpi@%
+% \pgfluamath@install@function\pgfmathe@=\pgfluamathe@%
+% \pgfluamath@install@function\pgfmathe=\pgfluamathe@%
+% \pgfluamath@install@function\pgfmathlessthan@=\pgfluamathlessthan@%
+% \pgfluamath@install@function\pgfmathless@=\pgfluamathlessthan@%
+% \pgfluamath@install@function\pgfmathgreaterthan@=\pgfluamathgreaterthan@%
+% \pgfluamath@install@function\pgfmathgreater@=\pgfluamathgreaterthan@%
+% \pgfluamath@install@function\pgfmathpow@=\pgfluamathpow@
+% \pgfluamath@install@function\pgfmathrand@=\pgfluamathrand@
+% \pgfluamath@install@function\pgfmathrand=\pgfluamathrand@
+% \pgfluamath@install@function\pgfmathrnd@=\pgfluamathrnd@
+% \pgfluamath@install@function\pgfmathrnd=\pgfluamathrnd@
+% \pgfluamath@install@function\pgfmathtrue@=\pgfluamathtrue@
+% \pgfluamath@install@function\pgfmathfalse@=\pgfluamathfalse@
+% \pgfluamath@install@function\pgfmathnot@=\pgfluamathnot@
+% \pgfluamath@install@function\pgfmathhex@=\pgfluamathhex@
+% \pgfluamath@install@function\pgfmathHex@=\pgfluamathHex@
+% \pgfluamath@install@function\pgfmathoct@=\pgfluamathoct@
+% \pgfluamath@install@function\pgfmathbin@=\pgfluamathbin@
+% \pgfluamath@install@function\pgfmathand@=\pgfluamathand@
+% \pgfluamath@install@function\pgfmathor@=\pgfluamathor@
+% \pgfluamath@install@function\pgfmathfactorial@=\pgfluamathfactorial@
+% \pgfluamath@install@function\pgfmathveclen@=\pgfluamathveclen@
+% \pgfluamath@install@function\pgfmathcosh@=\pgfluamathcosh@
+% \pgfluamath@install@function\pgfmathsinh@=\pgfluamathsinh@
+% \pgfluamath@install@function\pgfmathtanh@=\pgfluamathtanh@
+
+\def\pgfluamathpointnormalised#1{%
+ \pgf@process{#1}%
+ \pgfutil@directlua{%
+ pgfluamathfunctions.pointnormalised(%
+ \pgf@sys@tonumber{\pgf@x},\pgf@sys@tonumber{\pgf@y})}%
+ \ignorespaces}
+
+% Parser
+
+\newif\ifpgfluamathunitsdeclared
+
+% true if and only if LUA failed to evaluate the expression and the
+% expression was evaluated by means of the TeX parser as fallback.
+%
+% This happens
+% - for \chardef'ed boxes for which LUA lacks evaluation capabilities
+% - if the expression includes some function which is unavailable in
+% LUA (defined only in TeX)
+% - some special cases which simply haven't been added to the LUA
+% parser (yet).
+% At the time of this writing, this includes
+% -- arrays created via '{}' and indexed with '[]'
+% -- strings with "<str>"
+% -- 'scalar' function
+% -- hex/octal/binary input
+\newif\ifpgfluamathusedTeXfallback
+
+% Parses the math expression and defines \pgfmathresult and
+% \ifpgfmathunitsdeclared to contain the result.
+%
+% If \ifpgfluamathparseractive then the result is also assigned to
+% \pgfmathresult. Furthermore, if the expression cannot be evaluated (because LUA does not support
+% it), it will be evaluated by mean of TeX as fallback.
+%
+% @see \ifpgfluamathusedTeXfallback
+% @see \ifpgfluamathshowerrormessage
+\def\pgfluamathparse#1{%
+ \pgfluamathusedTeXfallbackfalse
+ \pgfutil@directlua{pgfluamathparser.texCallParser(
+ "\pgfutil@luaescapestring{#1}",
+ \pgfluamath@outputformat@choice,
+ \ifpgfluamathshowerrormessage true\else false\fi)%
+ }%
+ \ifx\pgfmathresult\pgfutil@empty
+ \ifpgfluamathenableTeXfallback
+ \pgfluamathusedTeXfallbacktrue
+ \pgfluamath@pgfmathparse{#1}%
+ \fi
+ \fi
+}
+
+\catcode`\"=\pgfliblua@oldcatcodedoublequote
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgfmathfloat.code.tex b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgfmathfloat.code.tex
index 58eb9de28f1..241741e53b4 100644
--- a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgfmathfloat.code.tex
+++ b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_pgfmathfloat.code.tex
@@ -19,7 +19,7 @@
% with the deployment of this patch or partial content of PGF. Note that the author and/or maintainer of pgfplots has no obligation to fix anything:
% This file comes without any warranty as the rest of pgfplots; there is no obligation for help.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%% Date of this copy: Di 25. Dez 18:14:20 CET 2012 %%%
+%%% Date of this copy: Di 30. Dez 15:31:24 CET 2014 %%%
@@ -452,8 +452,29 @@
% Expands a floating point number to scientific format 1.234e5.
%
% This operation is very fast.
-\def\pgfmathfloatvalueof#1{\expandafter\pgfmathfloatvalueof@@#1\relax}%
-\def\pgfmathfloatvalueof@@#1Y#2e#3]\relax{%
+\def\pgfmathfloatvalueof#1{\expandafter\pgfmathfloatvalueof@@#1@@}%
+
+% Make it fool proof such that the following arguments work:
+% \pgfmathfloatvalueof{1Y1.0e1} -> 1.0e1
+% \pgfmathfloatvalueof{2Y1.0e1} -> -1.0e1
+% and wrong arguments as well:
+% \pgfmathfloatvalueof{1} -> 1
+% \pgfmathfloatvalueof{1e2} -> 1e2
+\def\pgfmathfloatvalueof@@#1#2{%
+ \if#2Y%
+ % keep in mind that \pgfmathfloatvalueof should be expandable!
+ % We must not use \let here. Let's hope that #1 and #2 are
+ % single tokens (not something which was enclosed by curly
+ % braces...)
+ \expandafter\pgfmathfloatvalueof@@@\expandafter#1\expandafter#2%
+ \else
+ % Oh - no float!? Ok, we cannot report errors in this context.
+ % So: make it a feature and return the input argument as-is.
+ % Might be useful, in fact...
+ \expandafter\pgfmathfloatvalueof@abort\expandafter#1\expandafter#2%
+ \fi
+}
+\def\pgfmathfloatvalueof@@@#1Y#2e#3]@@{%
\ifcase#1 %
0.0e0%
\or
@@ -465,6 +486,8 @@
\or -inf%
\fi
}%
+\def\pgfmathfloatvalueof@abort#1@@{#1}%
+
% Rounds a fixed point number #1 to \pgfmathfloat@round@precision digits precision and returns
@@ -932,6 +955,7 @@
\newif\ifpgfmathprintnumber@showpositive
\newif\ifpgfmathprintnumber@frac@warn
\newif\ifpgfmathprintnumber@frac@whole
+\newif\ifpgfmathparsenumber@comma@as@period
\long\def\pgfmathfloatfrac@verbatim#1#2{#1/#2}%
@@ -1012,6 +1036,8 @@
showpos/.default=true,
print sign/.is if=pgfmathprintnumber@showpositive,
print sign/.default=true,
+ read comma as period/.is if=pgfmathparsenumber@comma@as@period,
+ read comma as period/.default=true,
skip 0./.is if=pgfmathprintnumberskipzeroperiod,
skip 0./.default=true,
skip 0.= false,
@@ -1276,7 +1302,7 @@
% The numerator and denominator is always a number (not empty)
\def\pgfmathfloatgetfrac#1{%
\pgfutil@ifundefined{pgfmathfloatmultiply@}{%
- \PackageError{tikz}{Sorry, the number format 'frac' requires '\string\usetikzlibrary{fpu}' (and, optionally, \string\usepackage{fp}) in order to work correctly}{}%
+ \pgfmath@PackageError{Sorry, the number format 'frac' requires '\string\usetikzlibrary{fpu}' (and, optionally, \string\usepackage{fp}) in order to work correctly}%
\edef\pgfmathresult{{#1}{0}{1}}%
}{%
\pgfmathfloatgetfrac@{#1}%
@@ -2270,6 +2296,9 @@
\pgfmathfloatcreate{0}{0.0}{0}%
}%
},%
+ /pgf/fpu/handlers/invalid separator/.code 2 args={%
+ \pgfmath@error{Could not parse input '#1' as a floating point number, sorry. The unreadable part was near the decimal separator '#2'. Do you need the option 'read comma as period'?}{}%
+ },
/pgf/fpu/handlers/invalid number/.code 2 args={%
\pgfmath@error{Could not parse input '#1' as a floating point number, sorry. The unreadable part was near '#2'.}{}%
},
@@ -2342,6 +2371,30 @@
\expandafter\def\csname pgffltA@.\endcsname{% read '.9' like '0.9'
\pgfmathfloat@a@E=-1
\pgfflt@leadingzero@foundperiod}%
+\expandafter\def\csname pgffltA@,\endcsname{% read ',9' like '0,9'
+ \pgfmathfloat@frenchinput{%
+ \pgfmathfloat@a@E=-1
+ \pgfflt@leadingzero@foundperiod
+ }%
+}%
+
+\def\pgfmathfloat@frenchinput#1{%
+ \ifpgfmathparsenumber@comma@as@period
+ \def\pgf@marshal{#1}%
+ \expandafter\pgf@marshal
+ \else
+ \expandafter\pgfflt@error@separator\expandafter,%
+ \fi
+}%
+\def\pgfflt@error@separator#1\pgfflt@EOI{%
+ \begingroup
+ \pgfmathfloat@a@Mtok={#1}%
+ \xdef\pgfmathfloat@glob@TMP{%
+ \noexpand\pgfmathfloatparsenumber@handleerror
+ {invalid separator}{\pgfmathresult}{\the\pgfmathfloat@a@Mtok}}%
+ \endgroup
+ \pgfmathfloat@glob@TMP
+}%
\def\pgfflt@finish#1\pgfflt@EOI{}
@@ -2399,6 +2452,12 @@
\expandafter\def\csname pgffltB@.\endcsname{%
\pgfmathfloat@a@E=-1
\pgfflt@leadingzero@foundperiod}%
+\expandafter\def\csname pgffltB@,\endcsname{%
+ \pgfmathfloat@frenchinput{%
+ \pgfmathfloat@a@E=-1
+ \pgfflt@leadingzero@foundperiod
+ }%
+}%
\expandafter\def\csname pgffltB@e\endcsname{%
\pgfmathfloat@a@S=0\relax%
\pgfmathfloat@a@Mtok={0.0}%
@@ -2463,6 +2522,7 @@
\expandafter\def\csname pgffltD@9\endcsname{\pgffltD@nonzerodigit9}%
\expandafter\def\csname pgffltD@\pgfmathfloat@POSTFLAGSCHAR\endcsname{\pgfflt@readlowlevelfloat}%
\expandafter\def\csname pgffltD@.\endcsname{\pgfflt@finish@number@after@period}% FIXME : inlining?
+\expandafter\def\csname pgffltD@,\endcsname{\pgfmathfloat@frenchinput{\pgfflt@finish@number@after@period}}%
\expandafter\def\csname pgffltD@e\endcsname{\pgfflt@readexponent}% FIXME : inlining?
\let\pgffltD@E=\pgffltD@e
\expandafter\def\csname pgffltD@\pgfflt@EOI\endcsname{}% NOP
@@ -2522,6 +2582,7 @@
\expandafter\def\csname pgffltE@8\endcsname{\pgffltE@nonzerodigit8}%
\expandafter\def\csname pgffltE@9\endcsname{\pgffltE@nonzerodigit9}%
\expandafter\def\csname pgffltE@.\endcsname{\pgfflt@finish@number@after@period}% FIXME : inlining?
+\expandafter\def\csname pgffltE@,\endcsname{\pgfmathfloat@frenchinput{\pgfflt@finish@number@after@period}}% FIXME : inlining?
\def\pgffltE@e{\pgfflt@readexponent}% FIXME : inlining?
\let\pgffltE@E=\pgffltE@e
\expandafter\def\csname pgffltE@\pgfflt@EOI\endcsname{}% NOP
diff --git a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_tikzexternalshared.code.tex b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_tikzexternalshared.code.tex
index b1e21bc5222..adf818bef7e 100644
--- a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_tikzexternalshared.code.tex
+++ b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_tikzexternalshared.code.tex
@@ -19,7 +19,7 @@
% with the deployment of this patch or partial content of PGF. Note that the author and/or maintainer of pgfplots has no obligation to fix anything:
% This file comes without any warranty as the rest of pgfplots; there is no obligation for help.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%% Date of this copy: Mi 9. Jul 15:41:39 CEST 2014 %%%
+%%% Date of this copy: So 11. Jan 19:35:13 CET 2015 %%%
@@ -123,15 +123,22 @@
}%
-\pgfutil@ifundefined{pdfshellescape}{%
- \def\tikzexternalcheckshellescape{}%
+\pgfutil@IfUndefined{pdfshellescape}{%
+ % let's hope that \usepackage{pdftexcmds} has been used...
+ \pgfutil@IfUndefined{pdf@shellescape}{%
+ \def\tikzexternalcheckshellescape{0}%
+ }{%
+ \let\tikzexternalcheckshellescape=\pdf@shellescape
+ }%
}{%
- \ifnum\pdfshellescape=1
- \def\tikzexternalcheckshellescape{\pgfkeysvalueof{/tikz/external/shell escape}\space}%
- \else
- \def\tikzexternalcheckshellescape{}%
- \fi
+ \let\tikzexternalcheckshellescape=\pdfshellescape
}%
+\ifnum\tikzexternalcheckshellescape=1
+ \def\tikzexternalcheckshellescape{\pgfkeysvalueof{/tikz/external/shell escape}\space}%
+\else
+ \def\tikzexternalcheckshellescape{}%
+\fi
+
\newif\iftikzexternal@auto@detect@jobname
\pgfqkeys{/tikz/external}{
@@ -257,6 +264,7 @@
\fi
},
optimize command away=\includegraphics,
+ optimize command away=\pgfincludeexternalgraphics,
% EXPERIMENTAL (UNTESTED):
optimize latex env away/.code={%
\expandafter\let\expandafter\pgf@tempa\csname #1\endcsname
diff --git a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_trig_format.code.tex b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_trig_format.code.tex
index 4937d000e0a..4ebb95439e7 100644
--- a/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_trig_format.code.tex
+++ b/Master/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfsupp_trig_format.code.tex
@@ -30,6 +30,43 @@
\fi
}%
+\pgfutil@ifundefined{pgfmath@multiply@thousand}{%
+ % Oh - we are working against PGF 2.10 . Apply more patches:
+ %
+ \def\pgfmath@multiply@thousand#1.#2#3#4#5\relax{%
+ \edef\pgfmathresult{#1#2#3#4.#5}%
+ }%
+ % Defines \pgfmath@x to be the result of the table lookup for value
+ % '#1' in table '#2'
+ %
+ % #1: a value for which lookup should be performed
+ % #2: the table's prefix name
+ % #3: the table's size
+ \def\pgfmath@table@lookup#1#2#3{%
+ \pgfmath@x=#1\relax
+ \expandafter\pgfmath@table@lookup@\the\pgfmath@x\relax{#2}{#3}%
+ }
+ \def\pgfmath@table@lookup@#1.#2\relax#3#4{%
+ \edef\pgf@temp{\Pgf@geT#2}% strip 'pt' suffix.
+ %
+ % prepare constant interpolant (i.e. the value at node '#1'):
+ \pgfmath@x=\csname #3#1\endcsname pt %
+ %
+ \c@pgfmath@countc=#1 %
+ \advance\c@pgfmath@countc by1 %
+ \ifnum\c@pgfmath@countc<#4 %
+ % Ah - we have enough elements in the table.
+ %
+ % perform linear interpolation:
+ \pgfmath@ya=\csname #3\the\c@pgfmath@countc\endcsname pt %
+ \advance\pgfmath@ya by-\pgfmath@x %
+ \advance\pgfmath@x by0.\pgf@temp\pgfmath@ya
+ \fi
+ }%
+}{}%
+
+
+
\def\pgfmath@scale@rad@to@deg#1{%
#1=57.29577#1\relax% 57.29577 = 360/(2*pi)
}%