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Diffstat (limited to 'Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex')
| -rw-r--r-- | Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex | 446 |
1 files changed, 223 insertions, 223 deletions
diff --git a/Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex b/Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex index bab8fefd4eb..9b807992787 100644 --- a/Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex +++ b/Master/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex @@ -11,116 +11,116 @@ % % Version 1.414213 29/9/2007 -% veclen function adapted from ideas due to Rouben Rostamian. +% veclen function adpated from ideas due to Rouben Rostamian. % -% Calculate the Euclidean length of a 2D vector. +% Calcluate the Eulidean length of a 2D vector. % % -\pgfmathdeclarefunction{veclen}{2}{% +\pgfmathdeclarefunction{veclen}{2}{% \begingroup% \pgfmath@x#1pt\relax% \pgfmath@y#2pt\relax% - \ifdim\pgfmath@x<0pt\relax% - \pgfmath@x-\pgfmath@x% - \fi% - \ifdim\pgfmath@y<0pt\relax% - \pgfmath@y-\pgfmath@y% - \fi% - \ifdim\pgfmath@x=0pt\relax% - \pgfmath@x\pgfmath@y% - \else% - \ifdim\pgfmath@y=0pt\relax% - \else% - \ifdim\pgfmath@x>\pgfmath@y% - \pgfmath@xa\pgfmath@x% - \pgfmath@x\pgfmath@y% - \pgfmath@y\pgfmath@xa% - \fi% - % We use a scaling factor to reduce errors. - \ifdim\pgfmath@y>10000pt\relax% - \c@pgfmath@counta1500\relax% - \else% - \ifdim\pgfmath@y>1000pt\relax% - \c@pgfmath@counta150\relax% - \else% - \ifdim\pgfmath@y>100pt\relax% - \c@pgfmath@counta50\relax% - \else% - \c@pgfmath@counta1\relax% - \fi% - \fi% - \fi% - \divide\pgfmath@x\c@pgfmath@counta\relax% - \divide\pgfmath@y\c@pgfmath@counta\relax% - \pgfmathreciprocal@{\pgfmath@tonumber{\pgfmath@y}}% - \pgfmath@x\pgfmathresult\pgfmath@x% - \pgfmath@xa\pgfmath@tonumber{\pgfmath@x}\pgfmath@x% - \edef\pgfmath@temp{\pgfmath@tonumber{\pgfmath@xa}}% - % - % Use A+x^2*(B+x^2*(C+x^2*(D+E*x^2))) - % where - % A = +1.000012594 - % B = +0.4993615349 - % C = -0.1195159052 - % D = +0.04453994279 - % E = -0.01019210944 - % - \pgfmath@x-0.01019210944\pgfmath@xa% - \advance\pgfmath@x0.04453994279pt\relax% - \pgfmath@x\pgfmath@temp\pgfmath@x% - \advance\pgfmath@x-0.1195159052pt\relax% - \pgfmath@x\pgfmath@temp\pgfmath@x% - \advance\pgfmath@x0.4993615349pt\relax% - \pgfmath@x\pgfmath@temp\pgfmath@x% - \advance\pgfmath@x1.000012594pt\relax% - \ifdim\pgfmath@y<0pt\relax% - \pgfmath@y-\pgfmath@y% - \fi% - \pgfmath@x\pgfmath@tonumber{\pgfmath@y}\pgfmath@x% - % Invert the scaling factor. - \multiply\pgfmath@x\c@pgfmath@counta\relax% - \fi% - \fi% - \pgfmath@returnone\pgfmath@x% - \endgroup% + \ifdim\pgfmath@x<0pt\relax% + \pgfmath@x-\pgfmath@x% + \fi% + \ifdim\pgfmath@y<0pt\relax% + \pgfmath@y-\pgfmath@y% + \fi% + \ifdim\pgfmath@x=0pt\relax% + \pgfmath@x\pgfmath@y% + \else% + \ifdim\pgfmath@y=0pt\relax% + \else% + \ifdim\pgfmath@x>\pgfmath@y% + \pgfmath@xa\pgfmath@x% + \pgfmath@x\pgfmath@y% + \pgfmath@y\pgfmath@xa% + \fi% + % We use a scaling factor to reduce errors. + \ifdim\pgfmath@y>10000pt\relax% + \c@pgfmath@counta1500\relax% + \else% + \ifdim\pgfmath@y>1000pt\relax% + \c@pgfmath@counta150\relax% + \else% + \ifdim\pgfmath@y>100pt\relax% + \c@pgfmath@counta50\relax% + \else% + \c@pgfmath@counta1\relax% + \fi% + \fi% + \fi% + \divide\pgfmath@x\c@pgfmath@counta\relax% + \divide\pgfmath@y\c@pgfmath@counta\relax% + \pgfmathreciprocal@{\pgfmath@tonumber{\pgfmath@y}}% + \pgfmath@x\pgfmathresult\pgfmath@x% + \pgfmath@xa\pgfmath@tonumber{\pgfmath@x}\pgfmath@x% + \edef\pgfmath@temp{\pgfmath@tonumber{\pgfmath@xa}}% + % + % Use A+x^2*(B+x^2*(C+x^2*(D+E*x^2))) + % where + % A = +1.000012594 + % B = +0.4993615349 + % C = -0.1195159052 + % D = +0.04453994279 + % E = -0.01019210944 + % + \pgfmath@x-0.01019210944\pgfmath@xa% + \advance\pgfmath@x0.04453994279pt\relax% + \pgfmath@x\pgfmath@temp\pgfmath@x% + \advance\pgfmath@x-0.1195159052pt\relax% + \pgfmath@x\pgfmath@temp\pgfmath@x% + \advance\pgfmath@x0.4993615349pt\relax% + \pgfmath@x\pgfmath@temp\pgfmath@x% + \advance\pgfmath@x1.000012594pt\relax% + \ifdim\pgfmath@y<0pt\relax% + \pgfmath@y-\pgfmath@y% + \fi% + \pgfmath@x\pgfmath@tonumber{\pgfmath@y}\pgfmath@x% + % Invert the scaling factor. + \multiply\pgfmath@x\c@pgfmath@counta\relax% + \fi% + \fi% + \pgfmath@returnone\pgfmath@x% + \endgroup% } % Hyperbolic functions contributed by Martin Heller. % \pgfmathdeclarefunction{cosh}{1}{% - \begingroup - \edef\pgfmath@arg{#1}% - \pgfmathexp@{\pgfmath@arg}% - \pgfmath@x=\pgfmathresult pt\relax% - \pgfmathexp@{-\pgfmath@arg}% - \advance\pgfmath@x by\pgfmathresult pt\relax% - \divide\pgfmath@x by2\relax% - \pgfmath@returnone\pgfmath@x% - \endgroup} + \begingroup + \edef\pgfmath@arg{#1}% + \pgfmathexp@{\pgfmath@arg}% + \pgfmath@x=\pgfmathresult pt\relax% + \pgfmathexp@{-\pgfmath@arg}% + \advance\pgfmath@x by\pgfmathresult pt\relax% + \divide\pgfmath@x by2\relax% + \pgfmath@returnone\pgfmath@x% + \endgroup} \pgfmathdeclarefunction{sinh}{1}{% - \begingroup - \edef\pgfmath@arg{#1}% - \pgfmathexp@{\pgfmath@arg}% - \pgfmath@x=\pgfmathresult pt\relax% - \pgfmathexp@{-\pgfmath@arg}% - \advance\pgfmath@x by-\pgfmathresult pt\relax% - \divide\pgfmath@x by2\relax% - \pgfmath@returnone\pgfmath@x% - \endgroup + \begingroup + \edef\pgfmath@arg{#1}% + \pgfmathexp@{\pgfmath@arg}% + \pgfmath@x=\pgfmathresult pt\relax% + \pgfmathexp@{-\pgfmath@arg}% + \advance\pgfmath@x by-\pgfmathresult pt\relax% + \divide\pgfmath@x by2\relax% + \pgfmath@returnone\pgfmath@x% + \endgroup }% \pgfmathdeclarefunction{tanh}{1}{% - \begingroup - \edef\pgfmath@arg{#1}% - \pgfmathsinh@{\pgfmath@arg}% - \pgfmath@x=\pgfmathresult pt\relax% - \pgfmathcosh@{\pgfmath@arg}% - \pgfmath@y=\pgfmathresult pt\relax% - \pgfmathdivide@{\pgfmath@tonumber{\pgfmath@x}}{\pgfmath@tonumber{\pgfmath@y}}% - \pgfmath@x=\pgfmathresult pt\relax% - \pgfmath@returnone\pgfmath@x% - \endgroup + \begingroup + \edef\pgfmath@arg{#1}% + \pgfmathsinh@{\pgfmath@arg}% + \pgfmath@x=\pgfmathresult pt\relax% + \pgfmathcosh@{\pgfmath@arg}% + \pgfmath@y=\pgfmathresult pt\relax% + \pgfmathdivide@{\pgfmath@tonumber{\pgfmath@x}}{\pgfmath@tonumber{\pgfmath@y}}% + \pgfmath@x=\pgfmathresult pt\relax% + \pgfmath@returnone\pgfmath@x% + \endgroup }% % \pgfmathscientific @@ -134,136 +134,136 @@ % NB These arguments *are not parsed*, as the long mantissa would be lost. % \def\pgfmathscientific#1#2{% - \begingroup% - \edef\pgfmath@sci@exponent{#2}% - \pgfmath@x#1pt\relax% - \ifdim\pgfmath@x<0pt\relax% - \pgfmath@x-\pgfmath@x% - \edef\pgfmath@sci@sign{-}% - \expandafter\edef\expandafter\pgfmath@temp\expandafter{\expandafter\pgfmath@gobbleone#1}% - \else% - \edef\pgfmath@sci@sign{+}% - \edef\pgfmath@temp{#1}% - \fi% - \expandafter\pgfmath@in@\expandafter.\expandafter{#1}% - \ifpgfmath@in@% - \else% - \edef\pgfmath@temp{\pgfmath@temp.0}% - \fi% - \expandafter\pgfmath@scientific@@\pgfmath@temp00000000000\pgfmath@} + \begingroup% + \edef\pgfmath@sci@exponent{#2}% + \pgfmath@x#1pt\relax% + \ifdim\pgfmath@x<0pt\relax% + \pgfmath@x-\pgfmath@x% + \edef\pgfmath@sci@sign{-}% + \expandafter\edef\expandafter\pgfmath@temp\expandafter{\expandafter\pgfmath@gobbleone#1}% + \else% + \edef\pgfmath@sci@sign{+}% + \edef\pgfmath@temp{#1}% + \fi% + \expandafter\pgfmath@in@\expandafter.\expandafter{#1}% + \ifpgfmath@in@% + \else% + \edef\pgfmath@temp{\pgfmath@temp.0}% + \fi% + \expandafter\pgfmath@scientific@@\pgfmath@temp00000000000\pgfmath@} \def\pgfmath@scientific@@#1.#2#3#4#5#6{% - \edef\pgfmath@sci@int{#1}% - \edef\pgfmath@sci@mantissaA{#2#3#4#5#6}% - \pgfmath@scientific@@@} - + \edef\pgfmath@sci@int{#1}% + \edef\pgfmath@sci@mantissaA{#2#3#4#5#6}% + \pgfmath@scientific@@@} + \def\pgfmath@scientific@@@#1#2#3#4#5#6\pgfmath@{% - \edef\pgfmath@sci@mantissaB{#1#2#3#4#5}% - \c@pgfmath@counta\pgfmath@sci@exponent\relax% + \edef\pgfmath@sci@mantissaB{#1#2#3#4#5}% + \c@pgfmath@counta\pgfmath@sci@exponent\relax% \ifnum\c@pgfmath@counta<-4\relax% \pgfmath@x0pt\relax% \else% - \c@pgfmath@countb\c@pgfmath@counta% - \ifnum\c@pgfmath@counta<0\relax% - \c@pgfmath@counta-\c@pgfmath@counta% - \fi% - \pgfmathpow@{10}{\the\c@pgfmath@counta}% - \afterassignment\pgfmath@gobbletilpgfmath@ - \c@pgfmath@countc\pgfmathresult\relax\pgfmath@ - \edef\pgfmath@sci@factor{\the\c@pgfmath@countc}% - \ifnum\c@pgfmath@countb<0\relax% - % xE-y: easy... - \pgfmath@x\pgfmath@sci@int.\pgfmath@sci@mantissaA pt\relax% - \divide\pgfmath@x\pgfmath@sci@factor\relax% - \else% - % xE+y: - % Must do this way so as not lose digits in a long mantissa. Sigh... - \c@pgfmath@counta\pgfmath@sci@int% - \c@pgfmath@countb\pgfmath@sci@mantissaA% - \multiply\c@pgfmath@counta\pgfmath@sci@factor\relax% - \multiply\c@pgfmath@countb\pgfmath@sci@factor\relax% - \c@pgfmath@countc\c@pgfmath@countb% - \divide\c@pgfmath@countb100000\relax% - \advance\c@pgfmath@counta\c@pgfmath@countb% - \multiply\c@pgfmath@countb100000\relax% - \advance\c@pgfmath@countc-\c@pgfmath@countb% - \c@pgfmath@countb\pgfmath@sci@mantissaB\relax% - \multiply\c@pgfmath@countb\pgfmath@sci@factor\relax% - \divide\c@pgfmath@countb100000\relax% - \advance\c@pgfmath@countc\c@pgfmath@countb% - \advance\c@pgfmath@countc100000\relax% - \edef\pgfmath@sci@result{\pgfmath@sci@sign\the\c@pgfmath@counta.\expandafter\pgfmath@gobbleone\the\c@pgfmath@countc pt}% - \pgfmath@x\pgfmath@sci@result\relax% - \fi\fi% - \pgfmath@returnone\pgfmath@x% - \endgroup} - + \c@pgfmath@countb\c@pgfmath@counta% + \ifnum\c@pgfmath@counta<0\relax% + \c@pgfmath@counta-\c@pgfmath@counta% + \fi% + \pgfmathpow@{10}{\the\c@pgfmath@counta}% + \afterassignment\pgfmath@gobbletilpgfmath@ + \c@pgfmath@countc\pgfmathresult\relax\pgfmath@ + \edef\pgfmath@sci@factor{\the\c@pgfmath@countc}% + \ifnum\c@pgfmath@countb<0\relax% + % xE-y: easy... + \pgfmath@x\pgfmath@sci@int.\pgfmath@sci@mantissaA pt\relax% + \divide\pgfmath@x\pgfmath@sci@factor\relax% + \else% + % xE+y: + % Must do this way so as not lose digits in a long mantissa. Sigh... + \c@pgfmath@counta\pgfmath@sci@int% + \c@pgfmath@countb\pgfmath@sci@mantissaA% + \multiply\c@pgfmath@counta\pgfmath@sci@factor\relax% + \multiply\c@pgfmath@countb\pgfmath@sci@factor\relax% + \c@pgfmath@countc\c@pgfmath@countb% + \divide\c@pgfmath@countb100000\relax% + \advance\c@pgfmath@counta\c@pgfmath@countb% + \multiply\c@pgfmath@countb100000\relax% + \advance\c@pgfmath@countc-\c@pgfmath@countb% + \c@pgfmath@countb\pgfmath@sci@mantissaB\relax% + \multiply\c@pgfmath@countb\pgfmath@sci@factor\relax% + \divide\c@pgfmath@countb100000\relax% + \advance\c@pgfmath@countc\c@pgfmath@countb% + \advance\c@pgfmath@countc100000\relax% + \edef\pgfmath@sci@result{\pgfmath@sci@sign\the\c@pgfmath@counta.\expandafter\pgfmath@gobbleone\the\c@pgfmath@countc pt}% + \pgfmath@x\pgfmath@sci@result\relax% + \fi\fi% + \pgfmath@returnone\pgfmath@x% + \endgroup} + % width function. % \pgfmathdeclarefunction{width}{1}{% - \begingroup% - \setbox\pgfmath@box=\hbox{{\pgfmath@selectfont{#1}}}% - \pgfmath@x=\wd\pgfmath@box% - \edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@x}}% - \pgfmath@smuggleone\pgfmathresult% - \endgroup% + \begingroup% + \setbox\pgfmath@box=\hbox{{\pgfmath@selectfont{#1}}}% + \pgfmath@x=\wd\pgfmath@box% + \edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@x}}% + \pgfmath@smuggleone\pgfmathresult% + \endgroup% } % height function. % \pgfmathdeclarefunction{height}{1}{% - \begingroup% - \setbox\pgfmath@box=\hbox{{\pgfmath@selectfont{#1}}}% - \pgfmath@x=\ht\pgfmath@box% - \edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@x}}% - \pgfmath@smuggleone\pgfmathresult% - \endgroup% + \begingroup% + \setbox\pgfmath@box=\hbox{{\pgfmath@selectfont{#1}}}% + \pgfmath@x=\ht\pgfmath@box% + \edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@x}}% + \pgfmath@smuggleone\pgfmathresult% + \endgroup% } % depth function. % \pgfmathdeclarefunction{depth}{1}{% - \begingroup% - \setbox\pgfmath@box=\hbox{{\pgfmath@selectfont{#1}}}% - \pgfmath@x=\dp\pgfmath@box% - \edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@x}}% - \pgfmath@smuggleone\pgfmathresult% - \endgroup% + \begingroup% + \setbox\pgfmath@box=\hbox{{\pgfmath@selectfont{#1}}}% + \pgfmath@x=\dp\pgfmath@box% + \edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@x}}% + \pgfmath@smuggleone\pgfmathresult% + \endgroup% } % array function. % \pgfmathdeclarefunction{array}{2}{% - \begingroup% - \afterassignment\pgfmath@gobbletilpgfmath@\pgfmath@count=#2\relax\pgfmath@% - \expandafter\pgfmatharray@@#1\pgfmath@stop% + \begingroup% + \afterassignment\pgfmath@gobbletilpgfmath@\pgfmath@count=#2\relax\pgfmath@% + \expandafter\pgfmatharray@@#1\pgfmath@stop% } \def\pgfmath@token@stop{\pgfmath@stop}% \def\pgfmatharray@@#1{% - \def\pgfmath@temp{#1}% - \advance\pgfmath@count by-1\relax% - \ifx\pgfmath@temp\pgfmath@token@stop% - \pgfmath@error{Array index out of bounds.}{}% - \def\pgfmathresult{0}% - \pgfmath@smuggleone\pgfmathresult\endgroup% - \let\pgfmath@next=\relax% - \else% - \ifnum\pgfmath@count=-1\relax% - \def\pgfmathresult{#1}% - \let\pgfmath@next=\pgfmatharray@@@% - \else% - \let\pgfmath@next=\pgfmatharray@@% - \fi% - \fi% - \pgfmath@next} + \def\pgfmath@temp{#1}% + \advance\pgfmath@count by-1\relax% + \ifx\pgfmath@temp\pgfmath@token@stop% + \pgfmath@error{Array index out of bounds.}{}% + \def\pgfmathresult{0}% + \pgfmath@smuggleone\pgfmathresult\endgroup% + \let\pgfmath@next=\relax% + \else% + \ifnum\pgfmath@count=-1\relax% + \def\pgfmathresult{#1}% + \let\pgfmath@next=\pgfmatharray@@@% + \else% + \let\pgfmath@next=\pgfmatharray@@% + \fi% + \fi% + \pgfmath@next} \def\pgfmatharray@@@#1\pgfmath@stop{% - \pgfmath@smuggleone\pgfmathresult\endgroup% + \pgfmath@smuggleone\pgfmathresult\endgroup% } % dim function: return dimension of an array @@ -288,55 +288,55 @@ % max function. % \pgfmathdeclarefunction{max}{...}{% - \begingroup% - \pgfmath@x=-16383pt\relax% - \pgfmathmax@@#1{}} + \begingroup% + \pgfmath@x=-16383pt\relax% + \pgfmathmax@@#1{}} \def\pgfmathmax@@#1{% - \def\pgfmath@temp{#1}% - \ifx\pgfmath@temp\pgfmath@empty% - \let\pgfmath@next=\pgfmathmax@@@% - \else% - \ifdim#1pt>\pgfmath@x% - \pgfmath@x=#1pt\relax% - \fi% - \let\pgfmath@next=\pgfmathmax@@% - \fi% - \pgfmath@next} + \def\pgfmath@temp{#1}% + \ifx\pgfmath@temp\pgfmath@empty% + \let\pgfmath@next=\pgfmathmax@@@% + \else% + \ifdim#1pt>\pgfmath@x% + \pgfmath@x=#1pt\relax% + \fi% + \let\pgfmath@next=\pgfmathmax@@% + \fi% + \pgfmath@next} \def\pgfmathmax@@@{\pgfmath@returnone\pgfmath@x\endgroup}% -% For computability with old code. +% For compatability with old code. \def\pgfmathmax#1#2{% - \pgfmathparse{#1,#2}% - \expandafter\pgfmathmax@\expandafter{\pgfmathresult}% + \pgfmathparse{#1,#2}% + \expandafter\pgfmathmax@\expandafter{\pgfmathresult}% } % min function. % \pgfmathdeclarefunction{min}{...}{% - \begingroup% - \pgfmath@x=16383pt\relax% - \pgfmathmin@@#1{}} + \begingroup% + \pgfmath@x=16383pt\relax% + \pgfmathmin@@#1{}} \def\pgfmathmin@@#1{% - \def\pgfmath@temp{#1}% - \ifx\pgfmath@temp\pgfmath@empty% - \let\pgfmath@next=\pgfmathmin@@@% - \else% - \ifdim#1pt<\pgfmath@x% - \pgfmath@x=#1pt\relax% - \fi% - \let\pgfmath@next=\pgfmathmin@@% - \fi% - \pgfmath@next} + \def\pgfmath@temp{#1}% + \ifx\pgfmath@temp\pgfmath@empty% + \let\pgfmath@next=\pgfmathmin@@@% + \else% + \ifdim#1pt<\pgfmath@x% + \pgfmath@x=#1pt\relax% + \fi% + \let\pgfmath@next=\pgfmathmin@@% + \fi% + \pgfmath@next} \def\pgfmathmin@@@{\pgfmath@returnone\pgfmath@x\endgroup}% -% For computability with old code. +% For compatability with old code. \def\pgfmathmin#1#2{% - \pgfmathparse{#1,#2}% - \expandafter\pgfmathmin@\expandafter{\pgfmathresult}% + \pgfmathparse{#1,#2}% + \expandafter\pgfmathmin@\expandafter{\pgfmathresult}% } @@ -346,4 +346,4 @@ \pgfmathdeclarefunction{scalar}{1}{% \def\pgfmathresult{#1}% \global\pgfmathunitsdeclaredfalse% -} +}
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