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-rw-r--r--Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex353
1 files changed, 177 insertions, 176 deletions
diff --git a/Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex b/Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex
index 9370a219fe3..581cdaade5f 100644
--- a/Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex
@@ -14,46 +14,46 @@
% Base conversion operations for the parser.
%
\pgfmathdeclarefunction{bin}{1}{%
- \begingroup%
- \afterassignment\pgfmath@gobbletilpgfmath@%
- \c@pgfmath@counta=#1\relax\pgfmath@%
- \expandafter\pgfmathbasetobase\expandafter\pgfmathresult\expandafter{\the\c@pgfmath@counta}{10}{2}%
- \pgfmath@smuggleone\pgfmathresult%
- \endgroup%
+ \begingroup%
+ \afterassignment\pgfmath@gobbletilpgfmath@%
+ \c@pgfmath@counta=#1\relax\pgfmath@%
+ \expandafter\pgfmathbasetobase\expandafter\pgfmathresult\expandafter{\the\c@pgfmath@counta}{10}{2}%
+ \pgfmath@smuggleone\pgfmathresult%
+ \endgroup%
}
\pgfmathdeclarefunction{hex}{1}{%
- \begingroup%
- \afterassignment\pgfmath@gobbletilpgfmath@%
- \c@pgfmath@counta=#1\relax\pgfmath@%
- \expandafter\pgfmathbasetobase\expandafter\pgfmathresult\expandafter{\the\c@pgfmath@counta}{10}{16}%
- \pgfmath@smuggleone\pgfmathresult%
- \endgroup%
-}
+ \begingroup%
+ \afterassignment\pgfmath@gobbletilpgfmath@%
+ \c@pgfmath@counta=#1\relax\pgfmath@%
+ \expandafter\pgfmathbasetobase\expandafter\pgfmathresult\expandafter{\the\c@pgfmath@counta}{10}{16}%
+ \pgfmath@smuggleone\pgfmathresult%
+ \endgroup%
+}
\pgfmathdeclarefunction{Hex}{1}{%
- \begingroup%
- \afterassignment\pgfmath@gobbletilpgfmath@%
- \c@pgfmath@counta=#1\relax\pgfmath@%
- \expandafter\pgfmathbasetoBase\expandafter\pgfmathresult\expandafter{\the\c@pgfmath@counta}{10}{16}%
- \pgfmath@smuggleone\pgfmathresult%
- \endgroup%
+ \begingroup%
+ \afterassignment\pgfmath@gobbletilpgfmath@%
+ \c@pgfmath@counta=#1\relax\pgfmath@%
+ \expandafter\pgfmathbasetoBase\expandafter\pgfmathresult\expandafter{\the\c@pgfmath@counta}{10}{16}%
+ \pgfmath@smuggleone\pgfmathresult%
+ \endgroup%
}
\pgfmathdeclarefunction{oct}{1}{%
- \begingroup%
- \afterassignment\pgfmath@gobbletilpgfmath@%
- \c@pgfmath@counta=#1\relax\pgfmath@%
- \expandafter\pgfmathbasetobase\expandafter\pgfmathresult\expandafter{\the\c@pgfmath@counta}{10}{8}%
- \pgfmath@smuggleone\pgfmathresult%
- \endgroup%
+ \begingroup%
+ \afterassignment\pgfmath@gobbletilpgfmath@%
+ \c@pgfmath@counta=#1\relax\pgfmath@%
+ \expandafter\pgfmathbasetobase\expandafter\pgfmathresult\expandafter{\the\c@pgfmath@counta}{10}{8}%
+ \pgfmath@smuggleone\pgfmathresult%
+ \endgroup%
}
% Additional macros:
% \pgfmathbasetodec
%
-% Convert a representation of an integer from
-% the specified base to base 10.
+% Convert a representation of an integer from
+% the spcified base to base 10.
%
% #1 - a macro to store the result.
% #2 - the representation of a number (i.e. not a register)
@@ -66,62 +66,62 @@
% \mynumber <- 23
%
\def\pgfmathbasetodec#1#2#3{%
- \pgfmath@checknumber{#2}%
- \pgfmath@checkbase{#3}%
- \def\pgfmath@base{#3}%
- \def\pgfmath@base@macro{#1}%
- \c@pgfmath@counta=1\relax%
- \let\pgfmath@reversed=\pgfmath@empty%
- \expandafter\pgfmathbasetodec@#2\pgfmath@base@stop}
-
+ \pgfmath@checknumber{#2}%
+ \pgfmath@checkbase{#3}%
+ \def\pgfmath@base{#3}%
+ \def\pgfmath@base@macro{#1}%
+ \c@pgfmath@counta=1\relax%
+ \let\pgfmath@reversed=\pgfmath@empty%
+ \expandafter\pgfmathbasetodec@#2\pgfmath@base@stop}
+
\def\pgfmathbasetodec@#1{%
- \ifx#1\pgfmath@base@stop%
- \c@pgfmath@countb=0%
- \divide\c@pgfmath@counta by\pgfmath@base\relax%
- \expandafter\pgfmathbasetodec@@%
- \else%
- \edef\pgfmath@reversed{\pgfmath@reversed#1}%
- \expandafter\multiply\expandafter\c@pgfmath@counta\pgfmath@base\relax%
- \expandafter\pgfmathbasetodec@%
- \fi}
+ \ifx#1\pgfmath@base@stop%
+ \c@pgfmath@countb=0%
+ \divide\c@pgfmath@counta by\pgfmath@base\relax%
+ \expandafter\pgfmathbasetodec@@%
+ \else%
+ \edef\pgfmath@reversed{\pgfmath@reversed#1}%
+ \expandafter\multiply\expandafter\c@pgfmath@counta\pgfmath@base\relax%
+ \expandafter\pgfmathbasetodec@%
+ \fi}
\def\pgfmathbasetodec@@{\expandafter\pgfmathbasetodec@@@\pgfmath@reversed\pgfmathbasetodec}
-
+
\def\pgfmathbasetodec@@@#1{%
- \ifx\pgfmathbasetodec#1\relax%
- \expandafter\edef\pgfmath@base@macro{\the\c@pgfmath@countb}%
- \let\pgfmath@next=\pgfmathbasetodec@@@@%
- \else%
- \chardef\pgfmath@charnum`#1\relax%
- \c@pgfmath@countc=\pgfmath@charnum\relax%
- \ifnum\c@pgfmath@countc>96\relax%
- \advance\c@pgfmath@countc by-87\relax%
- \else
- \ifnum\c@pgfmath@countc>64\relax%
- \advance\c@pgfmath@countc by-55\relax%
- \else
- \advance\c@pgfmath@countc by-48\relax%
- \fi%
- \fi%
- \ifnum\c@pgfmath@countc<\pgfmath@base\relax%
- \multiply\c@pgfmath@countc by\c@pgfmath@counta%
- \advance\c@pgfmath@countb by\c@pgfmath@countc%
- \divide\c@pgfmath@counta by\pgfmath@base\relax%
- \let\pgfmath@next\pgfmathbasetodec@@@%
- \else
- \pgfmath@error{Digit `#1' invalid for base \pgfmath@base}%
- \let\pgfmath@next=\relax%
- \fi%
- \fi%
- \pgfmath@next}
+ \ifx\pgfmathbasetodec#1\relax%
+ \expandafter\edef\pgfmath@base@macro{\the\c@pgfmath@countb}%
+ \let\pgfmath@next=\pgfmathbasetodec@@@@%
+ \else%
+ \chardef\pgfmath@charnum`#1\relax%
+ \c@pgfmath@countc=\pgfmath@charnum\relax%
+ \ifnum\c@pgfmath@countc>96\relax%
+ \advance\c@pgfmath@countc by-87\relax%
+ \else
+ \ifnum\c@pgfmath@countc>64\relax%
+ \advance\c@pgfmath@countc by-55\relax%
+ \else
+ \advance\c@pgfmath@countc by-48\relax%
+ \fi%
+ \fi%
+ \ifnum\c@pgfmath@countc<\pgfmath@base\relax%
+ \multiply\c@pgfmath@countc by\c@pgfmath@counta%
+ \advance\c@pgfmath@countb by\c@pgfmath@countc%
+ \divide\c@pgfmath@counta by\pgfmath@base\relax%
+ \let\pgfmath@next\pgfmathbasetodec@@@%
+ \else
+ \pgfmath@error{Digit `#1' invalid for base \pgfmath@base}%
+ \let\pgfmath@next=\relax%
+ \fi%
+ \fi%
+ \pgfmath@next}
\def\pgfmathbasetodec@@@@{%
- \expandafter\pgfmath@ensurenumberlength\expandafter{\pgfmath@base@macro}%
+ \expandafter\pgfmath@ensurenumberlength\expandafter{\pgfmath@base@macro}%
}
% \pgfmathdectobase
%
-% Convert a representation of an integer from
-% base 10 to the specified base. Letters for bases
+% Convert a representation of an integer from
+% base 10 to the spcified base. Letters for bases
% greater than 10 are in lowercase.
%
% #1 - a macro to store the result.
@@ -135,25 +135,25 @@
% \mynumber <- 7f
%
\def\pgfmathdectobase#1#2#3{%
- \pgfmath@checknumber{#2}%
- \pgfmath@checkbase{#3}%
- \c@pgfmath@counta=#2\relax%
- \let#1=\pgfmath@empty%
- \pgfmathloop
- \ifnum\c@pgfmath@counta>0\relax%
- \c@pgfmath@countb=\c@pgfmath@counta%
- \divide\c@pgfmath@countb by#3\relax%
- \multiply\c@pgfmath@countb by-#3\relax%
- \advance\c@pgfmath@countb by\c@pgfmath@counta%
- \edef#1{\csname pgfmath@lowercase digit@\the\c@pgfmath@countb\endcsname#1}%
- \divide\c@pgfmath@counta by#3\relax%
- \repeatpgfmathloop%
- \pgfmath@ensurenumberlength{#1}}
+ \pgfmath@checknumber{#2}%
+ \pgfmath@checkbase{#3}%
+ \c@pgfmath@counta=#2\relax%
+ \let#1=\pgfmath@empty%
+ \pgfmathloop
+ \ifnum\c@pgfmath@counta>0\relax%
+ \c@pgfmath@countb=\c@pgfmath@counta%
+ \divide\c@pgfmath@countb by#3\relax%
+ \multiply\c@pgfmath@countb by-#3\relax%
+ \advance\c@pgfmath@countb by\c@pgfmath@counta%
+ \edef#1{\csname pgfmath@lowercase digit@\the\c@pgfmath@countb\endcsname#1}%
+ \divide\c@pgfmath@counta by#3\relax%
+ \repeatpgfmathloop%
+ \pgfmath@ensurenumberlength{#1}}
% \pgfmathdectoBase
%
-% Convert a representation of an integer from
-% base 10 to the specified base. Letters for bases
+% Convert a representation of an integer from
+% base 10 to the spcified base. Letters for bases
% greater than 10 are in uppercase.
%
% #1 - a macro to store the result.
@@ -165,45 +165,45 @@
% \pgfmathdectoBase\mynumber{127}{16}
%
% \mynumber <- 7F
-%
+%
\def\pgfmathdectoBase#1#2#3{%
- \pgfmath@checkbase{#3}%
- \pgfmath@checknumber{#2}%
- \c@pgfmath@counta=#2\relax%
- \let#1=\pgfmath@empty%
- \pgfmathloop
- \ifnum\c@pgfmath@counta>0\relax%
- \c@pgfmath@countb=\c@pgfmath@counta%
- \divide\c@pgfmath@countb by#3\relax%
- \multiply\c@pgfmath@countb by-#3\relax%
- \advance\c@pgfmath@countb by\c@pgfmath@counta%
- \edef#1{\csname pgfmath@uppercase digit@\the\c@pgfmath@countb\endcsname#1}%
- \divide\c@pgfmath@counta by#3\relax%
- \repeatpgfmathloop%
- \pgfmath@ensurenumberlength{#1}}
+ \pgfmath@checkbase{#3}%
+ \pgfmath@checknumber{#2}%
+ \c@pgfmath@counta=#2\relax%
+ \let#1=\pgfmath@empty%
+ \pgfmathloop
+ \ifnum\c@pgfmath@counta>0\relax%
+ \c@pgfmath@countb=\c@pgfmath@counta%
+ \divide\c@pgfmath@countb by#3\relax%
+ \multiply\c@pgfmath@countb by-#3\relax%
+ \advance\c@pgfmath@countb by\c@pgfmath@counta%
+ \edef#1{\csname pgfmath@uppercase digit@\the\c@pgfmath@countb\endcsname#1}%
+ \divide\c@pgfmath@counta by#3\relax%
+ \repeatpgfmathloop%
+ \pgfmath@ensurenumberlength{#1}}
\def\pgfmath@base@digits@create{%
- \def\pgfmath@base@digit@style{lowercase digit}%
- \c@pgfmath@counta=0\relax%
- \pgfmath@base@digits@create@0123456789abcdefghijklmnopqrstuvwxyz\pgfmath@base@digits@create%
- \def\pgfmath@base@digit@style{uppercase digit}%
- \c@pgfmath@counta=0\relax%
- \pgfmath@base@digits@create@0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ\pgfmath@base@digits@create}
+ \def\pgfmath@base@digit@style{lowercase digit}%
+ \c@pgfmath@counta=0\relax%
+ \pgfmath@base@digits@create@0123456789abcdefghijklmnopqrstuvwxyz\pgfmath@base@digits@create%
+ \def\pgfmath@base@digit@style{uppercase digit}%
+ \c@pgfmath@counta=0\relax%
+ \pgfmath@base@digits@create@0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ\pgfmath@base@digits@create}
\def\pgfmath@base@digits@create@#1{%
- \ifx\pgfmath@base@digits@create#1\relax%
- \else%
- \expandafter\pgfmath@def\expandafter{\pgfmath@base@digit@style}{\the\c@pgfmath@counta}{#1}%
- \advance\c@pgfmath@counta by1\relax%
- \expandafter\pgfmath@base@digits@create@%
- \fi}
+ \ifx\pgfmath@base@digits@create#1\relax%
+ \else%
+ \expandafter\pgfmath@def\expandafter{\pgfmath@base@digit@style}{\the\c@pgfmath@counta}{#1}%
+ \advance\c@pgfmath@counta by1\relax%
+ \expandafter\pgfmath@base@digits@create@%
+ \fi}
\pgfmath@base@digits@create
% \pgfmathbasetobase
%
-% Convert a representation of an integer from
+% Convert a representation of an integer from
% between the specified bases. Letters for target
-% bases greater than 10 are in uppercase.
+% bases greater than 10 are in lppercase.
%
% #1 - a macro to store the result.
% #2 - a number (in a macro, not a register)
@@ -215,15 +215,15 @@
% \pgfmathbasetobase\mynumber{4321}{5}{9}
%
% \mynumber <- 721
-%
+%
\def\pgfmathbasetobase#1#2#3#4{%
- \pgfmathbasetodec{\pgfmath@base@temp}{#2}{#3}%
- \pgfmathdectobase{#1}{\pgfmath@base@temp}{#4}%
+ \pgfmathbasetodec{\pgfmath@base@temp}{#2}{#3}%
+ \pgfmathdectobase{#1}{\pgfmath@base@temp}{#4}%
}
% \pgfmathbasetobase
%
-% Convert a representation of an integer from
+% Convert a representation of an integer from
% between the specified bases. Letters for target
% bases greater than 10 are in uppercase.
%
@@ -237,34 +237,34 @@
% \pgfmathbasetobase\mynumber{1234}{5}{12}
%
% \mynumber <- 142
-%
+%
\def\pgfmathbasetoBase#1#2#3#4{%
- \pgfmathbasetodec{\pgfmath@base@temp}{#2}{#3}%
- \pgfmathdectoBase{#1}{\pgfmath@base@temp}{#4}%
+ \pgfmathbasetodec{\pgfmath@base@temp}{#2}{#3}%
+ \pgfmathdectoBase{#1}{\pgfmath@base@temp}{#4}%
}
\def\pgfmath@checkbase#1{%
- \ifnum#1<2\relax%
- \pgfmath@error{Cannot process numbers in base `#1'.}%
- \else%
- \ifnum#1>36\relax%
- \pgfmath@error{Cannot process numbers in base `#1'.}%
- \fi%
- \fi}
-
+ \ifnum#1<2\relax%
+ \pgfmath@error{Cannot process numbers in base `#1'.}%
+ \else%
+ \ifnum#1>36\relax%
+ \pgfmath@error{Cannot process numbers in base `#1'.}%
+ \fi%
+ \fi}
+
\def\pgfmath@checknumber#1{%
- \expandafter\pgfmath@checknumber@#1\pgfmath@}
+ \expandafter\pgfmath@checknumber@#1\pgfmath@}
\def\pgfmath@checknumber@#1#2\pgfmath@{%
- \ifx#1-%
- \pgfmath@error{Cannot process negative numbers.}%
- \fi}
+ \ifx#1-%
+ \pgfmath@error{Cannot process negative numbers.}%
+ \fi}
% \pgfmath@ensurenumberlength
%
% Internal macro for making a representation of a number have
-% a specific length, byte prefixing zeros to the number.
+% a specific length, byt prefixing zeros to the number.
%
-% #1 - a macro containing a representation of an integer.
+% #1 - a macro contatining a representation of an integer.
% #2 - the number of digits to ensure.
%
% e.g.
@@ -277,54 +277,55 @@
% \foo <- 000007FF
%
\def\pgfmath@ensurenumberlength#1{%
- \def\pgfmath@base@tempa{#1}%
- \expandafter\c@pgfmath@counta\pgfmath@basenumberlength\relax%
- \expandafter\pgfmath@ensurenumberlength@#1\pgfmath@ensurenumberlength}
+ \def\pgfmath@base@tempa{#1}%
+ \expandafter\c@pgfmath@counta\pgfmath@basenumberlength\relax%
+ \expandafter\pgfmath@ensurenumberlength@#1\pgfmath@ensurenumberlength}
\def\pgfmath@ensurenumberlength@#1{%
- \ifx\pgfmath@ensurenumberlength#1\relax%
- \expandafter\pgfmath@ensurenumberlength@@%
- \else%
- \advance\c@pgfmath@counta by-1\relax%
- \expandafter\pgfmath@ensurenumberlength@
- \fi}
+ \ifx\pgfmath@ensurenumberlength#1\relax%
+ \expandafter\pgfmath@ensurenumberlength@@%
+ \else%
+ \advance\c@pgfmath@counta by-1\relax%
+ \expandafter\pgfmath@ensurenumberlength@
+ \fi}
\def\pgfmath@ensurenumberlength@@{%
- \edef\pgfmath@base@tempb{\pgfmath@base@tempa}%
- \pgfmath@ensurenumberlength@@@}
+ \edef\pgfmath@base@tempb{\pgfmath@base@tempa}%
+ \pgfmath@ensurenumberlength@@@}
\def\pgfmath@ensurenumberlength@@@{%
- \ifnum\c@pgfmath@counta>0\relax%
- \advance\c@pgfmath@counta by-1\relax%
- \edef\pgfmath@base@tempb{0\pgfmath@base@tempb}%
- \expandafter\pgfmath@ensurenumberlength@@@%
- \fi%
- \expandafter\edef\pgfmath@base@tempa{\pgfmath@base@tempb}}
-
+ \ifnum\c@pgfmath@counta>0\relax%
+ \advance\c@pgfmath@counta by-1\relax%
+ \edef\pgfmath@base@tempb{0\pgfmath@base@tempb}%
+ \expandafter\pgfmath@ensurenumberlength@@@%
+ \fi%
+ \expandafter\edef\pgfmath@base@tempa{\pgfmath@base@tempb}}
+
\def\pgfmathsetbasenumberlength#1{\def\pgfmath@basenumberlength{#1}}
\pgfmathsetbasenumberlength{1}%
% \pgfmathtodigitlist\marg{macro}\marg{number}}
%
-% This command converts \meta{number} into a comma-separated
-% list of digits and stores the result in \meta{macro}.
-% The \marg{number} is \emph{not} parsed before processing.
+% This command converts \meta{number} into a comma-separated
+% list of digits and stores the result in \meta{macro}.
+% The \marg{number} is \emph{not} parsed before processing.
%
\def\pgfmathtodigitlist#1#2{%
- \def\pgfmath@temp{#1}%
- \let\pgfmath@digitlist=\pgfutil@empty%
- \edef\pgfmath@@tmp{#2}%
- \expandafter\pgfmath@todigitlist\pgfmath@@tmp @%
+ \def\pgfmath@temp{#1}%
+ \let\pgfmath@digitlist=\pgfutil@empty%
+ \edef\pgfmath@@tmp{#2}%
+ \expandafter\pgfmath@todigitlist\pgfmath@@tmp @%
}
\def\pgfmath@base@atchar{@}
\def\pgfmath@todigitlist#1{%
- \def\pgfmath@digit{#1}%
- \ifx\pgfmath@digit\pgfmath@base@atchar%
- \expandafter\let\pgfmath@temp=\pgfmath@digitlist%
- \else%
- \ifx\pgfmath@digitlist\pgfutil@empty%
- \edef\pgfmath@digitlist{#1}%
- \else%
- \edef\pgfmath@digitlist{\pgfmath@digitlist,#1}%
- \fi%
- \expandafter\pgfmath@todigitlist%
- \fi%
+ \def\pgfmath@digit{#1}%
+ \ifx\pgfmath@digit\pgfmath@base@atchar%
+ \expandafter\let\pgfmath@temp=\pgfmath@digitlist%
+ \else%
+ \ifx\pgfmath@digitlist\pgfutil@empty%
+ \edef\pgfmath@digitlist{#1}%
+ \else%
+ \edef\pgfmath@digitlist{\pgfmath@digitlist,#1}%
+ \fi%
+ \expandafter\pgfmath@todigitlist%
+ \fi%
}
+