diff options
Diffstat (limited to 'Master/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex')
-rw-r--r-- | Master/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex | 343 |
1 files changed, 330 insertions, 13 deletions
diff --git a/Master/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex b/Master/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex index 29a2be58693..c1f099ce160 100644 --- a/Master/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex +++ b/Master/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex @@ -13,8 +13,8 @@ \input pgfmathutil.code.tex \input pgfmathparser.code.tex -\input pgfmathoperations.code.tex -\input pgfmathbase.code.tex +\input pgfmathfunctions.code.tex +%\input pgfmathbase.code.tex % \pgfmathsetlength, \pgfmathaddtolength % @@ -85,7 +85,8 @@ \def\pgfmathsetcount#1#2{% \expandafter\pgfmath@onquick#2\pgfmath@% {% - #1#2\relax% + \afterassignment\pgfmath@gobbletilpgfmath@% + #1#2\relax\pgfmath@% }% {% \pgfmathparse{#2}% @@ -105,7 +106,10 @@ \def\pgfmathaddtocount#1#2{% \expandafter\pgfmath@onquick#2\pgfmath@% {% - \advance#1#2\relax% + \edef\pgfmath@addtocounttemp{\the#1}% + \afterassignment\pgfmath@gobbletilpgfmath@% + #1#2\relax\pgfmath@% + \advance#1\pgfmath@addtocounttemp\relax% }% {% \edef\pgfmath@addtocounttemp{\the#1}% @@ -240,14 +244,327 @@ % \pgfmath@onquick+0pt\pgfmath@{is quick}{is slow} \def\pgfmath@onquick{% - \afterassignment\pgfmath@afterquick% - \let\pgfmath@next=% + \futurelet\pgfmath@next% + \pgfmath@@onquick} +\def\pgfmath@@onquick#1\pgfmath@{% + \ifx\pgfmath@next+% + \let\pgfmath@next=\pgfmath@firstoftwo% + \else% + \let\pgfmath@next=\pgfmath@secondoftwo% + \fi% + \pgfmath@next% +} + +% *** The following commands DO NOT WORK without the rest of PGF *** +% +% (a dumping ground for stuff that doesn't really belong anywhere else) + +% \pgfmathanglebetweenpoints +% +% Define \pgfmathresult as the angle between points #1 and #2 +% Should get the quadrants right as well. +% +\def\pgfmathanglebetweenpoints#1#2{% + \begingroup% + \pgf@process{\pgfpointdiff{#1}{#2}}% + % + % First approximate the angle of the external point... + % + \pgf@xa\pgf@x% + \pgf@ya\pgf@y% + \pgf@xb\pgf@x% + \pgf@yb\pgf@y% + \ifdim\pgf@xa<0pt\relax% + \pgf@xa-\pgf@xa% + \fi% + \ifdim\pgf@ya<0pt\relax% + \pgf@ya-\pgf@ya% + \fi% + \ifdim\pgf@ya>\pgf@xa% + \pgf@x\pgf@xa% + \pgf@y\pgf@ya% + \else% + \pgf@x\pgf@ya% + \pgf@y\pgf@xa% + \fi% + \ifdim\pgf@y=0pt\relax% + \pgf@x0pt% + \else% + \pgfmathreciprocal@{\pgfmath@tonumber{\pgf@y}}% + \pgf@x\pgfmathresult\pgf@x% + \fi% + \multiply\pgf@x1000\relax% + \afterassignment\pgfmath@gobbletilpgfmath@% + \expandafter\c@pgf@counta\the\pgf@x\relax\pgfmath@% + \expandafter\pgf@x\csname pgfmath@atan@\the\c@pgf@counta\endcsname pt\relax% + \ifdim\pgfmath@ya>\pgfmath@xa\relax% + \pgf@x-\pgf@x% + \advance\pgf@x90pt% + \fi% + \ifdim\pgf@xb<0pt% + \ifdim\pgf@yb>0pt% + \pgf@x-\pgf@x% + \fi% + \advance\pgf@x180pt\relax% + \else% + \ifdim\pgf@yb<0pt% + \pgf@x-\pgf@x% + \advance\pgf@x360pt\relax% + \fi\fi% + \pgfmath@returnone\pgf@x% + \endgroup% } -\def\pgfmath@afterquick#1\pgfmath@{% - \ifx\pgfmath@next+% - \expandafter\pgfmath@firstoftwo% - \else% - \expandafter\pgfmath@secondoftwo% - \fi% -}
\ No newline at end of file +% +% \pgfmathrotatepointaround +% +% Rotate point #1 about point #2 by #3 degrees. +% +\def\pgfmathrotatepointaround#1#2#3{% + \pgf@process{% + \pgf@process{#1}% + \pgf@xc=\pgf@x% + \pgf@yc=\pgf@y% + \pgf@process{#2}% + \pgf@xa\pgf@x% + \pgf@ya\pgf@y% + \pgf@xb\pgf@x% + \pgf@yb\pgf@y% + \pgf@x=\pgf@xc% + \pgf@y=\pgf@yc% + \advance\pgf@x-\pgf@xa% + \advance\pgf@y-\pgf@ya% + \pgfmathsetmacro\angle{#3}% + \pgfmathsin@{\angle}% + \let\sineangle\pgfmathresult% + \pgfmathcos@{\angle}% + \let\cosineangle\pgfmathresult% + \pgf@xa\cosineangle\pgf@x% + \advance\pgf@xa-\sineangle\pgf@y% + \pgf@ya\sineangle\pgf@x% + \advance\pgf@ya\cosineangle\pgf@y% + \pgf@x\pgf@xb% + \pgf@y\pgf@yb% + \advance\pgf@x\pgf@xa% + \advance\pgf@y\pgf@ya% + }% +} + +% \pgfmathanglebetweenlines +% +% Calculate the clockwise angle between a line from point #1 +% to point #2 and a line from #3 to point #4. +% +\def\pgfmathanglebetweenlines#1#2#3#4{% + \begingroup% + \pgfmathanglebetweenpoints{#1}{#2}% + \let\firstangle\pgfmathresult% + \pgfmathanglebetweenpoints{#3}{#4}% + \let\secondangle\pgfmathresult% + \ifdim\firstangle pt>\secondangle pt\relax% + \pgfmathadd@{\secondangle}{360}% + \let\secondangle\pgfmathresult% + \fi% + \pgfmathsubtract@{\secondangle}{\firstangle}% + \pgfmath@smuggleone\pgfmathresult% + \endgroup% +} + +% \pgfmathpointreflectalongaxis +% +% Reflects point #2 around an axis centered on #2 at an angle #3. +% +\def\pgfmathreflectpointalongaxis#1#2#3{% + \pgf@process{% + \pgfmathanglebetweenpoints{#2}{#1}% + \pgfmath@tempdima\pgfmathresult pt\relax% + \pgfmathparse{#3}% + \advance\pgfmath@tempdima-\pgfmathresult pt\relax% + \pgfmath@tempdima-2.0\pgfmath@tempdima% + \pgfmathrotatepointaround{#1}{#2}{\pgfmath@tonumber{\pgfmath@tempdima}}% + }% +} + + + +% \pgfmathpointintersectionoflineandarc +% +% A bit experimental at the moment: +% +% Locates the point where a line crosses an eliptical arc. If the line +% does not cross the arc, a meaningless point will result. +% +% #1 the point of the line on the "convex" side of the arc. +% #2 the point of the line on the "concave" side of the arc. +% #3 the center of the eliptical arc. +% #4 start angle of the arc. +% #5 end angle of the arc. +% #6 radii of the arc. +% +\def\pgfmathpointintersectionoflineandarc#1#2#3#4#5#6{% + \pgf@process{% + % + % Get the required angle. + % + \pgfmathanglebetweenpoints{#2}{#1}% + \let\x\pgfmathresult% + % + % Get the radii of the arc. + % + \pgfmath@in@{and }{#6}% + \ifpgfmath@in@% + \pgf@polar@#6\@@% + \else% + \pgf@polar@#6 and #6\@@% + \fi% + \edef\xarcradius{\the\pgf@x}% + \edef\yarcradius{\the\pgf@y}% + % + % Get the start and end angles of the arc... + % + \pgfmathsetmacro\s{#4}% + \pgfmathsetmacro\e{#5}% + % + % ...and also with rounding. + % + \pgfmathmod@{\s}{360}% + \ifdim\pgfmathresult pt<0pt\relax% + \pgfmathadd@{\pgfmathresult}{360}% + \fi% + \let\ss\pgfmathresult% + \pgfmathmod@{\e}{360}% + \ifdim\pgfmathresult pt<0pt\relax% + \pgfmathadd@{\pgfmathresult}{360}% + \fi% + \let\ee\pgfmathresult% + % + % Hackery for when arc straddles zero. + % + \ifdim\ee pt<\ss pt\relax% + \pgfmathadd@{\x}{180}% + \pgfmathmod@{\pgfmathresult}{360}% + \let\x\pgfmathresult% + \fi% + \def\m{360}% Measure of nearness. + \pgfmathadd@{\s}{\e}% + \pgfmathdivide@{\pgfmathresult}{2}% + \let\n\pgfmathresult% The best estimate (default to middle of arc). + \pgfmathloop% + \pgfmathadd@{\s}{\e}% + \pgfmathdivide@{\pgfmathresult}{2}% + \let\p\pgfmathresult% + \ifdim\p pt=\s pt\relax% + \else% + \pgfmathanglebetweenpoints{#2}{% + \pgfpointadd{#3}{% + \pgf@x\xarcradius\relax% + \pgfmathcos@{\p}% + \pgf@x\pgfmathresult\pgf@x% + \pgf@y\yarcradius\relax% + \pgfmathsin@{\p}% + \pgf@y\pgfmathresult\pgf@y% + }% + }% + % + % Hackery for when arc straddles zero. + % + \ifdim\ee pt<\ss pt\relax% + \pgfmathadd@{\pgfmathresult}{180}% + \pgfmathmod@{\pgfmathresult}{360}% + \fi% + \let\q\pgfmathresult% + % + % More hackery... + % + \ifdim\x pt>335pt\relax% + \ifdim\q pt<45pt\relax% + \pgfmathadd@{\q}{360}% + \let\q\pgfmathresult% + \fi% + \fi% + \ifdim\x pt=\q pt% Found it! + \pgfmathbreakloop% Breaks after current iteration is complete. + \else + \ifdim\x pt<\q pt\relax% + \let\e\p% + \else% + \let\s\p% + \fi% + \fi% + \pgfmathsubtract@{\x}{\q}% + \pgfmathabs@{\pgfmathresult}% + % + % Save the estimate if it is better than any previous estimate. + % + \ifdim\pgfmathresult pt<\m pt\relax% + \let\m\pgfmathresult% + \let\n\p% + \fi% + \repeatpgfmathloop% + \pgfpointadd{#3}{\pgfpointpolar{\n}{\xarcradius and \yarcradius}}% + }% +} + +% \pgfmathangleonellipse +% +% Find the angle corresponding to a point on the border of an ellispe. +% +% #1 - the point on the border. +% #2 - the radii of the ellipse. +% +\def\pgfmathangleonellipse#1#2{% + \begingroup% + \pgfmath@in@{and }{#2}% + \ifpgfmath@in@% + \pgf@polar@#2\@@% + \else% + \pgf@polar@#2 and #2\@@% + \fi% + \pgf@xa\pgf@x% + \pgf@ya\pgf@y% + \pgf@process{#1}% + \ifdim\pgf@x=0pt\relax% + \pgfutil@tempdima1pt\relax% + \else% + \pgfutil@tempdima\pgf@x% + \pgfmathdivide@{\pgfmath@tonumber{\pgf@xa}}{\pgfmath@tonumber{\pgfutil@tempdima}}% + \pgfutil@tempdima\pgfmathresult pt\relax% + \fi% + \ifdim\pgf@y=0pt\relax% + \pgfutil@tempdima1pt\relax% + \else% + \pgfmathdivide@{\pgfmath@tonumber{\pgf@y}}{\pgfmath@tonumber{\pgf@ya}}% + \pgfutil@tempdima\pgfmathresult\pgfutil@tempdima% + \pgfmathatan@{\pgfmath@tonumber{\pgfutil@tempdima}}% + \fi% + % + \pgfutil@tempdima\pgfmathresult pt\relax% + \ifdim\pgfutil@tempdima<0pt\relax% + \advance\pgfutil@tempdima360pt\relax% + \fi% + \ifdim\pgf@x<0pt\relax% + \ifdim\pgf@y=0pt\relax% + \pgfutil@tempdima180pt\relax% + \else% + \ifdim\pgf@y<0pt\relax% + \advance\pgfutil@tempdima180pt\relax% + \else% + \advance\pgfutil@tempdima-180pt\relax% + \fi% + \fi% + \else% + \ifdim\pgf@x=0pt\relax% + \ifdim\pgf@y<0pt\relax% + \pgfutil@tempdima270pt\relax% + \else% + \pgfutil@tempdima90pt\relax% + \fi% + \else% + \ifdim\pgf@y=0pt\relax% + \pgfutil@tempdima0pt\relax% + \fi% + \fi% + \fi% + \pgfmath@returnone\pgfutil@tempdima% + \endgroup% +} |