diff options
Diffstat (limited to 'Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex')
| -rw-r--r-- | Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex | 353 |
1 files changed, 176 insertions, 177 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 581cdaade5f..9370a219fe3 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 spcified base to base 10. +% Convert a representation of an integer from +% the specified 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 spcified base. Letters for bases +% Convert a representation of an integer from +% base 10 to the specified 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 spcified base. Letters for bases +% Convert a representation of an integer from +% base 10 to the specified 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 lppercase. +% bases greater than 10 are in uppercase. % % #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, byt prefixing zeros to the number. +% a specific length, byte prefixing zeros to the number. % -% #1 - a macro contatining a representation of an integer. +% #1 - a macro containing a representation of an integer. % #2 - the number of digits to ensure. % % e.g. @@ -277,55 +277,54 @@ % \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% } - |