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Diffstat (limited to 'macros/latex/contrib/curve2e/curve2e.sty')
-rw-r--r-- | macros/latex/contrib/curve2e/curve2e.sty | 729 |
1 files changed, 729 insertions, 0 deletions
diff --git a/macros/latex/contrib/curve2e/curve2e.sty b/macros/latex/contrib/curve2e/curve2e.sty new file mode 100644 index 0000000000..052cc398b0 --- /dev/null +++ b/macros/latex/contrib/curve2e/curve2e.sty @@ -0,0 +1,729 @@ +%% +%% This is file `curve2e.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% curve2e.dtx (with options: `package') +%% +%% Copyright (C) 2005--2019 Claudio Beccari all rights reserved. +%% License information appended +%% +\NeedsTeXFormat{LaTeX2e}[2016/01/01] +\ProvidesPackage{curve2e}% + [2019-10-17 v.2.0.3 Extension package for pict2e] + + + +\IfFileExists{xfp.sty}{% + \RequirePackage{color} + \RequirePackageWithOptions{pict2e}[2014/01/01] + \@ifl@aded{sty}{xparse}{}{\RequirePackage{xparse}} + \@ifl@aded{sty}{xfp}{}{\RequirePackage{xfp}}% +}{% + \RequirePackage{curve2e-v161}% + \PackageWarningNoLine{curve2e}{% + Package xfp is required, but apparently\MessageBreak% + such package cannot be found in this \MessageBreak% + TeX system installation\MessageBreak% + Either your installation is not complete \MessageBreak% + or it is older than 2018-10-17.\MessageBreak% + \MessageBreak% + ***************************************\MessageBreak% + Version 1.61 of curve2e has been loaded\MessageBreak% + instead of the current version\MessageBreak% + ***************************************\MessageBreak}% + \endinput +} +\def\TRON{\tracingcommands\tw@ \tracingmacros\tw@}% +\def\TROF{\tracingcommands\z@ \tracingmacros\z@}% +\ifx\undefined\@tdA \newdimen\@tdA \fi +\ifx\undefined\@tdB \newdimen\@tdB \fi +\ifx\undefined\@tdC \newdimen\@tdC \fi +\ifx\undefined\@tdD \newdimen\@tdD \fi +\ifx\undefined\@tdE \newdimen\@tdE \fi +\ifx\undefined\@tdF \newdimen\@tdF \fi +\ifx\undefined\defaultlinewidth \newdimen\defaultlinewidth \fi +\gdef\linethickness#1{% +\@wholewidth#1\@halfwidth.5\@wholewidth\ignorespaces}% +\newcommand\defaultlinethickness[1]{\defaultlinewidth=#1\relax +\def\thicklines{\linethickness{\defaultlinewidth}}% +\def\thinlines{\linethickness{.5\defaultlinewidth}}\thinlines + \ignorespaces}% +\def\LIne(#1){{\GetCoord(#1)\@tX\@tY + \moveto(0,0) + \pIIe@lineto{\@tX\unitlength}{\@tY\unitlength}\strokepath}\ignorespaces +}% +\def\segment(#1)(#2){\@killglue\polyline(#1)(#2)}% +\def\line(#1)#2{\begingroup + \@linelen #2\unitlength + \ifdim\@linelen<\z@\@badlinearg\else + \expandafter\DirOfVect#1to\Dir@line + \GetCoord(\Dir@line)\d@mX\d@mY + \ifdim\d@mX\p@=\z@\else + \edef\sc@lelen{\fpeval{1 / abs(\d@mX)}}\relax + \@linelen=\sc@lelen\@linelen + \fi + \moveto(0,0) + \pIIe@lineto{\d@mX\@linelen}{\d@mY\@linelen}% + \strokepath + \fi +\endgroup\ignorespaces}% +\ifx\Dashline\undefined + \def\Dashline{\@ifstar{\Dashline@@}{\Dashline@}} + + \def\Dashline@(#1)(#2)#3{% + \bgroup + \countdef\NumA3254\countdef\NumB3252\relax + \GetCoord(#1)\@tA\@tB \MakeVectorFrom\@tA\@tB to\V@ttA + \GetCoord(#2)\@tA\@tB \MakeVectorFrom\@tA\@tB to\V@ttB + \SubVect\V@ttA from\V@ttB to\V@ttC + \ModOfVect\V@ttC to\DlineMod + \DivideFN\DlineMod by#3 to\NumD + \NumA=\fpeval{trunc(\NumD,0)}\relax + \unless\ifodd\NumA\advance\NumA\@ne\fi + \NumB=\NumA \divide\NumB\tw@ + \DividE\DlineMod\p@ by\NumA\p@ to\D@shMod + \DividE\p@ by\NumA\p@ to \@tempa + \MultVect\V@ttC by\@tempa,0 to\V@ttB + \MultVect\V@ttB by 2,0 to\V@ttC + \advance\NumB\@ne + \edef\@mpt{\noexpand\egroup + \noexpand\multiput(\V@ttA)(\V@ttC){\number\NumB}% + {\noexpand\LIne(\V@ttB)}}% + \@mpt\ignorespaces}% + \let\Dline\Dashline + + \def\Dashline@@(#1)(#2)#3{\put(#1){\Dashline@(0,0)(#2){#3}}} +\fi +\ifx\Dotline\undefined + \def\Dotline{\@ifstar{\Dotline@@}{\Dotline@}} + \def\Dotline@(#1)(#2)#3{% + \bgroup + \countdef\NumA 3254\relax \countdef\NumB 3255\relax + \GetCoord(#1)\@tA\@tB \MakeVectorFrom\@tA\@tB to\V@ttA + \GetCoord(#2)\@tA\@tB \MakeVectorFrom\@tA\@tB to\V@ttB + \SubVect\V@ttA from\V@ttB to\V@ttC + \ModOfVect\V@ttC to\DotlineMod + \DivideFN\DotlineMod by#3 to\NumD + \NumA=\fpeval{trunc(\NumD,0)}\relax + \DivVect\V@ttC by\NumA,0 to\V@ttB + \advance\NumA\@ne + \edef\@mpt{\noexpand\egroup + \noexpand\multiput(\V@ttA)(\V@ttB){\number\NumA}% + {\noexpand\makebox(0,0){\noexpand\circle*{0.5}}}}% + \@mpt\ignorespaces}% + + \def\Dotline@@(#1)(#2)#3{\put(#1){\Dotline@(0,0)(#2){#3}}}% +\fi +\AtBeginDocument{\@ifpackageloaded{eso-pic}{% +\renewcommand\LenToUnit[1]{\strip@pt\dimexpr#1*\p@/\unitlength}}{}}% +\def\GetCoord(#1)#2#3{% +\expandafter\SplitNod@\expandafter(#1)#2#3\ignorespaces} +\def\SplitNod@(#1)#2#3{\isnot@polar#1:!!(#1)#2#3}% +\def\isnot@polar#1:#2!!{\def\@tempOne{#2}\ifx\@tempOne\empty +\expandafter\@firstoftwo\else +\expandafter\@secondoftwo\fi +{\SplitNod@@}{\SplitPolar@@}} + +\def\SplitNod@@(#1,#2)#3#4{\edef#3{#1}\edef#4{#2}}% +\def\SplitPolar@@(#1:#2)#3#4{\DirFromAngle#1to\@DirA +\ScaleVect\@DirA by#2to\@DirA +\expandafter\SplitNod@@\expandafter(\@DirA)#3#4} +\let\originalput\put +\def\put(#1){\bgroup\GetCoord(#1)\@tX\@tY +\edef\x{\noexpand\egroup\noexpand\originalput(\@tX,\@tY)}\x} +\RenewDocumentCommand{\multiput}{ d() d() m m o }{% +\IfNoValueTF{#1}{\PackageError{curve2e}{% + \string\multiput\space initial point coordinates missing}% + {Nothing done}}% + {\IfNoValueTF{#2}{\PackageError{curve2e}{% + \string\multiput\space Increment components missing}% + {Nothing done}% + }% + {\GetCoord(#2)\dX\dY + \put(#1){\def\X{0}\def\Y{0}\@multicnt=#3\relax + \@whilenum \@multicnt > \z@\do{% + \put(\X,\Y){#4}\IfValueTF{#5}{#5}{% + \edef\X{\fpeval{\X+\dX}}\edef\Y{\fpeval{\Y+\dY}}}% + \advance\@multicnt\m@ne + }% + }} + }% +} + \def\vector(#1)#2{% + \begingroup + \GetCoord(#1)\d@mX\d@mY + \@linelen#2\unitlength + \ifdim\d@mX\p@=\z@\ifdim\d@mY\p@=\z@\@badlinearg\fi\fi + \ifdim\@linelen<\z@ \@linelen=-\@linelen\fi + \MakeVectorFrom\d@mX\d@mY to\@Vect + \DirOfVect\@Vect to\Dir@Vect + \YpartOfVect\Dir@Vect to\@ynum \@ydim=\@ynum\p@ + \XpartOfVect\Dir@Vect to\@xnum \@xdim=\@xnum\p@ + \ifdim\d@mX\p@=\z@ + \else\ifdim\d@mY\p@=\z@ + \else + \edef\sc@lelen{\fpeval{1 / abs(\@xnum)}}\relax + \@linelen=\sc@lelen\@linelen + \fi + \fi + \@tdB=\@linelen +\pIIe@concat\@xdim\@ydim{-\@ydim}\@xdim{\@xnum\@linelen}{\@ynum\@linelen}% + \@linelen\z@ + \pIIe@vector + \fillpath + \@linelen=\@tdB + \@tdA=\pIIe@FAW\@wholewidth + \@tdA=\pIIe@FAL\@tdA + \advance\@linelen-\@tdA + \ifdim\@linelen>\z@ + \moveto(0,0) + \pIIe@lineto{\@xnum\@linelen}{\@ynum\@linelen}% + \strokepath\fi + \endgroup} +\def\Vector(#1){{% +\GetCoord(#1)\@tX\@tY +\ifdim\@tX\p@=\z@ + \vector(\@tX,\@tY){\@tY}% +\else + \vector(\@tX,\@tY){\@tX}% +\fi}} +\def\VECTOR(#1)(#2){\begingroup +\SubVect#1from#2to\@tempa +\expandafter\put\expandafter(#1){\expandafter\Vector\expandafter(\@tempa)}% +\endgroup\ignorespaces} +\def\VVECTOR(#1)(#2){{\SubVect#1from#2to\@tempb +\ScaleVect\@tempb by0.5to\@tempb +\AddVect\@tempb and#1to\@tempb +\VECTOR(\@tempb)(#2)\VECTOR(\@tempb)(#1)\ignorespaces}} +\let\lp@r( \let\rp@r) +\renewcommand*\polyline[1][\beveljoin]{\p@lylin@[#1]} + +\def\p@lylin@[#1](#2){\@killglue#1\GetCoord(#2)\d@mX\d@mY + \pIIe@moveto{\d@mX\unitlength}{\d@mY\unitlength}% + \@ifnextchar\lp@r{\p@lyline}{% + \PackageWarning{curve2e}% + {Polylines require at least two vertices!\MessageBreak + Control your polyline specification\MessageBreak}% + \ignorespaces}} + +\def\p@lyline(#1){\GetCoord(#1)\d@mX\d@mY + \pIIe@lineto{\d@mX\unitlength}{\d@mY\unitlength}% + \@ifnextchar\lp@r{\p@lyline}{\strokepath\ignorespaces}} +\providecommand\polygon{} +\RenewDocumentCommand\polygon{s O{\beveljoin} }{\@killglue\begingroup +\IfBooleanTF{#1}{\@tempswatrue}{\@tempswafalse}% +\@polygon[#2]} + +\def\@polygon[#1](#2){\@killglue#1\GetCoord(#2)\d@mX\d@mY + \pIIe@moveto{\d@mX\unitlength}{\d@mY\unitlength}% + \@ifnextchar\lp@r{\@@polygon}{% + \PackageWarning{curve2e}% + {Polygons require at least two vertices!\MessageBreak + Control your polygon specification\MessageBreak}% + \ignorespaces}} + + \def\@@polygon(#1){\GetCoord(#1)\d@mX\d@mY + \pIIe@lineto{\d@mX\unitlength}{\d@mY\unitlength}% + \@ifnextchar\lp@r{\@@polygon}{\pIIe@closepath + \if@tempswa\pIIe@fillGraph\else\pIIe@strokeGraph\fi + \endgroup + \ignorespaces}} + +\def\GraphGrid(#1,#2){\bgroup\textcolor{red}{\linethickness{.1\p@}% +\RoundUp#1modulo10to\@GridWd \RoundUp#2modulo10to\@GridHt +\@tempcnta=\@GridWd \divide\@tempcnta10\relax \advance\@tempcnta\@ne +\multiput(0,0)(10,0){\@tempcnta}{\line(0,1){\@GridHt}}% +\@tempcnta=\@GridHt \divide\@tempcnta10\advance\@tempcnta\@ne +\multiput(0,0)(0,10){\@tempcnta}{\line(1,0){\@GridWd}}\thinlines}% +\egroup\ignorespaces} +\def\RoundUp#1modulo#2to#3{\expandafter\@tempcnta\Integer#1.??% +\count254\@tempcnta\divide\count254by#2\relax +\multiply\count254by#2\relax +\count252\@tempcnta\advance\count252-\count254 +\ifnum\count252>0\advance\count252-#2\relax +\advance\@tempcnta-\count252\fi\edef#3{\number\@tempcnta}\ignorespaces}% +\def\Integer#1.#2??{#1}% + +\def\DividE#1by#2to#3{% + \edef#3{\fpeval{#1 / #2}}\relax +} +\let\DivideFN\DividE +\def\MultiplY#1by#2to#3{\edef#3{\fpeval{#1 * #2}}}\relax +\let\MultiplyFN\MultiplY +\unless\ifdefined\Numero + \def\Numero#1#2{\bgroup\dimen3254=#2\relax + \edef\x{\noexpand\egroup\noexpand\edef\noexpand#1{% + \strip@pt\dimen3254}}\x\ignorespaces}% +\fi +\def\SinOf#1to#2{\edef#2{\fpeval{round(sind#1,6)}}}\relax +\def\CosOf#1to#2{\edef#2{\fpeval{round(cosd#1,6)}}}\relax +\def\ArgOfVect#1to#2{\bgroup\GetCoord(#1){\t@X}{\t@Y}% +\def\s@gno{}% +\ifdim\t@X\p@=\z@ + \ifdim\t@Y\p@=\z@ + \def\ArcTan{0}% vettore nullo + \else + \def\ArcTan{90}% vettore verticale + \ifdim\t@Y\p@<\z@\def\ArcTan{-90}\fi + \fi +\else + \ifdim\t@Y\p@=\z@% vettore orizzontale + \ifdim\t@X\p@<\z@ + \def\ArcTan{180}% + \else + \def\ArcTan{0}% + \fi + \else % vettore qualsiasi + \edef\ArcTan{\fpeval{atand(\t@Y / \t@X)}}\relax + \ifdim\t@X\p@<\z@% vettore nei quadranti di sinistra + \ifdim\t@Y\p@<\z@ + \edef\ArcTan{\fpeval{\ArcTan - 180}}\relax + \else + \edef\ArcTan{\fpeval{\ArcTan + 180}}\relax + \fi + \fi + \fi +\fi +\edef\x{\noexpand\egroup\noexpand\edef\noexpand#2{\ArcTan}}% +\x\ignorespaces} +\def\MakeVectorFrom#1#2to#3{\edef#3{#1,#2}\ignorespaces}% +\def\CopyVect#1to#2{\edef#2{#1}\ignorespaces}% +\def\ModOfVect#1to#2{\GetCoord(#1)\t@X\t@Y +\edef#2{\fpeval{sqrt(\t@X*\t@X + \t@Y*\t@Y)}}\relax +\ignorespaces}% +\def\DirOfVect#1to#2{\GetCoord(#1)\t@X\t@Y +\ModOfVect#1to\@tempa +\unless\ifdim\@tempa\p@=\z@ + \DividE\t@X\p@ by\@tempa to\t@X + \DividE\t@Y\p@ by\@tempa to\t@Y +\fi +\MakeVectorFrom\t@X\t@Y to#2\ignorespaces}% +\def\ModAndDirOfVect#1to#2and#3{% +\GetCoord(#1)\t@X\t@Y +\ModOfVect#1to#2% +\DirOfVect#1to#3\ignorespaces}% +\def\DistanceAndDirOfVect#1minus#2to#3and#4{% +\SubVect#2from#1to\@tempa +\ModAndDirOfVect\@tempa to#3and#4\ignorespaces}% +\def\XpartOfVect#1to#2{% +\GetCoord(#1)#2\@tempa\ignorespaces}% +\def\YpartOfVect#1to#2{% +\GetCoord(#1)\@tempa#2\ignorespaces}% +\def\DirFromAngle#1to#2{% +\CosOf#1to\t@X +\SinOf#1to\t@Y +\MakeVectorFrom\t@X\t@Y to#2\ignorespaces}% +\def\ScaleVect#1by#2to#3{\GetCoord(#1)\t@X\t@Y +\edef\t@X{\fpeval{#2 * \t@X}}\relax +\edef\t@Y{\fpeval{#2 * \t@Y}}\relax +\MakeVectorFrom\t@X\t@Y to#3\ignorespaces}% +\def\ConjVect#1to#2{\GetCoord(#1)\t@X\t@Y +\edef\t@Y{-\t@Y}% +\MakeVectorFrom\t@X\t@Y to#2\ignorespaces}% +\def\AddVect#1and#2to#3{\GetCoord(#1)\tu@X\tu@Y +\GetCoord(#2)\td@X\td@Y +\edef\t@X{\fpeval{\tu@X + \td@X}}\relax +\edef\t@Y{\fpeval{\tu@Y + \td@Y}}\relax +\MakeVectorFrom\t@X\t@Y to#3\ignorespaces}% +\def\SubVect#1from#2to#3{\GetCoord(#1)\tu@X\tu@Y +\GetCoord(#2)\td@X\td@Y +\edef\t@X{\fpeval{\td@X - \tu@X}}\relax +\edef\t@Y{\fpeval{\td@Y - \tu@Y}}\relax +\MakeVectorFrom\t@X\t@Y to#3\ignorespaces}% +\def\MultVect#1by{\@ifstar{\@ConjMultVect#1by}{\@MultVect#1by}}% +\def\@MultVect#1by#2to#3{\GetCoord(#1)\tu@X\tu@Y +\GetCoord(#2)\td@X\td@Y +\edef\t@X{\fpeval{\tu@X * \td@X - \tu@Y * \td@Y}}\relax +\edef\t@Y{\fpeval{\tu@Y * \td@X + \tu@X * \td@Y}}\relax +\MakeVectorFrom\t@X\t@Y to#3\ignorespaces}% +\def\@ConjMultVect#1by#2to#3{\GetCoord(#1)\tu@X\tu@Y +\GetCoord(#2)\td@X\td@Y +\edef\t@X{\fpeval{\tu@X * \td@X + \tu@Y * \td@Y}}\relax +\edef\t@Y{\fpeval{\tu@Y * \td@X - \tu@X * \td@Y}}\relax +\MakeVectorFrom\t@X\t@Y to#3\ignorespaces} +\def\DivVect#1by#2to#3{\ModAndDirOfVect#2to\@Mod and\@Dir +\edef\@Mod{\fpeval{1 / \@Mod}}\relax +\ConjVect\@Dir to\@Dir +\ScaleVect#1by\@Mod to\@tempa +\MultVect\@tempa by\@Dir to#3\ignorespaces}% +\def\Arc(#1)(#2)#3{\begingroup +\@tdA=#3\p@ +\unless\ifdim\@tdA=\z@ + \@Arc(#1)(#2)% +\fi +\endgroup\ignorespaces}% +\def\@Arc(#1)(#2){% +\ifdim\@tdA>\z@ + \let\Segno+% +\else + \@tdA=-\@tdA \let\Segno-% +\fi +\Numero\@gradi\@tdA +\ifdim\@tdA>360\p@ + \PackageWarning{curve2e}{The arc aperture is \@gradi\space degrees + and gets reduced\MessageBreak% + to the range 0--360 taking the sign into consideration}% + \@whiledim\@tdA>360\p@\do{\advance\@tdA-360\p@}% +\fi +\SubVect#2from#1to\@V \ModOfVect\@V to\@Raggio +\CopyVect#2to\@pPun +\CopyVect#1to\@Cent \GetCoord(\@pPun)\@pPunX\@pPunY +\@@Arc\strokepath\ignorespaces}% +\def\@@Arc{% +\pIIe@moveto{\@pPunX\unitlength}{\@pPunY\unitlength}% +\ifdim\@tdA>180\p@ + \advance\@tdA-180\p@ + \Numero\@gradi\@tdA + \SubVect\@pPun from\@Cent to\@V + \AddVect\@V and\@Cent to\@sPun + \MultVect\@V by0,-1.3333333to\@V + \if\Segno-\ScaleVect\@V by-1to\@V\fi + \AddVect\@pPun and\@V to\@pcPun + \AddVect\@sPun and\@V to\@scPun + \GetCoord(\@pcPun)\@pcPunX\@pcPunY + \GetCoord(\@scPun)\@scPunX\@scPunY + \GetCoord(\@sPun)\@sPunX\@sPunY + \pIIe@curveto{\@pcPunX\unitlength}{\@pcPunY\unitlength}% + {\@scPunX\unitlength}{\@scPunY\unitlength}% + {\@sPunX\unitlength}{\@sPunY\unitlength}% + \CopyVect\@sPun to\@pPun +\fi +\ifdim\@tdA>\z@ + \DirFromAngle\@gradi to\@Dir \if\Segno-\ConjVect\@Dir to\@Dir \fi + \SubVect\@Cent from\@pPun to\@V + \MultVect\@V by\@Dir to\@V + \AddVect\@Cent and\@V to\@sPun + \@tdA=.5\@tdA \Numero\@gradi\@tdA + \DirFromAngle\@gradi to\@Phimezzi + \GetCoord(\@Phimezzi)\@cosphimezzi\@sinphimezzi + \@tdB=1.3333333\p@ \@tdB=\@Raggio\@tdB + \@tdC=\p@ \advance\@tdC -\@cosphimezzi\p@ \Numero\@tempa\@tdC + \@tdB=\@tempa\@tdB + \DividE\@tdB by\@sinphimezzi\p@ to\@cZ + \ScaleVect\@Phimezzi by\@cZ to\@Phimezzi + \ConjVect\@Phimezzi to\@mPhimezzi + \if\Segno-% + \let\@tempa\@Phimezzi + \let\@Phimezzi\@mPhimezzi + \let\@mPhimezzi\@tempa + \fi + \SubVect\@sPun from\@pPun to\@V + \DirOfVect\@V to\@V + \MultVect\@Phimezzi by\@V to\@Phimezzi + \AddVect\@sPun and\@Phimezzi to\@scPun + \ScaleVect\@V by-1to\@V + \MultVect\@mPhimezzi by\@V to\@mPhimezzi + \AddVect\@pPun and\@mPhimezzi to\@pcPun + \GetCoord(\@pcPun)\@pcPunX\@pcPunY + \GetCoord(\@scPun)\@scPunX\@scPunY + \GetCoord(\@sPun)\@sPunX\@sPunY + \pIIe@curveto{\@pcPunX\unitlength}{\@pcPunY\unitlength}% + {\@scPunX\unitlength}{\@scPunY\unitlength}% + {\@sPunX\unitlength}{\@sPunY\unitlength}% +\fi} +\def\VectorArc(#1)(#2)#3{\begingroup +\@tdA=#3\p@ \ifdim\@tdA=\z@\else + \@VArc(#1)(#2)% +\fi +\endgroup\ignorespaces}% +\def\VectorARC(#1)(#2)#3{\begingroup +\@tdA=#3\p@ +\ifdim\@tdA=\z@\else + \@VARC(#1)(#2)% +\fi +\endgroup\ignorespaces}% +\def\@VArc(#1)(#2){% +\ifdim\@tdA>\z@ + \let\Segno+% +\else + \@tdA=-\@tdA \let\Segno-% +\fi \Numero\@gradi\@tdA +\ifdim\@tdA>360\p@ + \PackageWarning{curve2e}{The arc aperture is \@gradi\space degrees + and gets reduced\MessageBreak% + to the range 0--360 taking the sign into consideration}% + \@whiledim\@tdA>360\p@\do{\advance\@tdA-360\p@}% +\fi +\SubVect#1from#2to\@V \ModOfVect\@V to\@Raggio \CopyVect#2to\@pPun +\@tdE=\pIIe@FAW\@wholewidth \@tdE=\pIIe@FAL\@tdE +\DividE\@tdE by \@Raggio\unitlength to\DeltaGradi +\@tdD=\DeltaGradi\p@ +\@tdD=57.29578\@tdD \Numero\DeltaGradi\@tdD +\@tdD=\ifx\Segno--\fi\@gradi\p@ \Numero\@tempa\@tdD +\DirFromAngle\@tempa to\@Dir +\MultVect\@V by\@Dir to\@sPun +\edef\@tempA{\ifx\Segno-\m@ne\else\@ne\fi}% +\MultVect\@sPun by 0,\@tempA to\@vPun +\DirOfVect\@vPun to\@Dir +\AddVect\@sPun and #1 to \@sPun +\GetCoord(\@sPun)\@tdX\@tdY +\@tdD\ifx\Segno--\fi\DeltaGradi\p@ +\@tdD=.5\@tdD \Numero\DeltaGradi\@tdD +\DirFromAngle\DeltaGradi to\@Dird +\MultVect\@Dir by*\@Dird to\@Dir +\GetCoord(\@Dir)\@xnum\@ynum +\put(\@tdX,\@tdY){\vector(\@xnum,\@ynum){0}}% +\@tdE =\ifx\Segno--\fi\DeltaGradi\p@ +\advance\@tdA -\@tdE \Numero\@gradi\@tdA +\CopyVect#1to\@Cent \GetCoord(\@pPun)\@pPunX\@pPunY +\@@Arc +\strokepath\ignorespaces}% +\def\@VARC(#1)(#2){% +\ifdim\@tdA>\z@ + \let\Segno+% +\else + \@tdA=-\@tdA \let\Segno-% +\fi \Numero\@gradi\@tdA +\ifdim\@tdA>360\p@ + \PackageWarning{curve2e}{The arc aperture is \@gradi\space degrees + and gets reduced\MessageBreak% + to the range 0--360 taking the sign into consideration}% + \@whiledim\@tdA>360\p@\do{\advance\@tdA-360\p@}% +\fi +\SubVect#1from#2to\@V \ModOfVect\@V to\@Raggio \CopyVect#2to\@pPun +\@tdE=\pIIe@FAW\@wholewidth \@tdE=0.8\@tdE +\DividE\@tdE by \@Raggio\unitlength to\DeltaGradi +\@tdD=\DeltaGradi\p@ \@tdD=57.29578\@tdD \Numero\DeltaGradi\@tdD +\@tdD=\if\Segno--\fi\@gradi\p@ \Numero\@tempa\@tdD +\DirFromAngle\@tempa to\@Dir +\MultVect\@V by\@Dir to\@sPun% corrects the end point +\edef\@tempA{\if\Segno--\fi1}% +\MultVect\@sPun by 0,\@tempA to\@vPun +\DirOfVect\@vPun to\@Dir +\AddVect\@sPun and #1 to \@sPun +\GetCoord(\@sPun)\@tdX\@tdY +\@tdD\if\Segno--\fi\DeltaGradi\p@ +\@tdD=.5\@tdD \Numero\@tempB\@tdD +\DirFromAngle\@tempB to\@Dird +\MultVect\@Dir by*\@Dird to\@Dir +\GetCoord(\@Dir)\@xnum\@ynum +\put(\@tdX,\@tdY){\vector(\@xnum,\@ynum){0}}% end point arrowt ip +\@tdE =\DeltaGradi\p@ +\advance\@tdA -2\@tdE \Numero\@gradi\@tdA +\CopyVect#1to\@Cent \GetCoord(\@pPun)\@pPunX\@pPunY +\SubVect\@Cent from\@pPun to \@V +\edef\@tempa{\if\Segno-\else-\fi\@ne}% +\MultVect\@V by0,\@tempa to\@vPun +\@tdE\if\Segno--\fi\DeltaGradi\p@ +\Numero\@tempB{0.5\@tdE}% +\DirFromAngle\@tempB to\@Dird +\MultVect\@vPun by\@Dird to\@vPun% corrects the starting point +\DirOfVect\@vPun to\@Dir\GetCoord(\@Dir)\@xnum\@ynum +\put(\@pPunX,\@pPunY){\vector(\@xnum,\@ynum){0}}% starting point arrow tip +\edef\@tempa{\if\Segno--\fi\DeltaGradi}% +\DirFromAngle\@tempa to \@Dir +\SubVect\@Cent from\@pPun to\@V +\MultVect\@V by\@Dir to\@V +\AddVect\@Cent and\@V to\@pPun +\GetCoord(\@pPun)\@pPunX\@pPunY +\@@Arc +\strokepath\ignorespaces}% +\def\CurveBetween#1and#2WithDirs#3and#4{% + \StartCurveAt#1WithDir{#3}\relax + \CurveTo#2WithDir{#4}\CurveFinish\ignorespaces +}% +\def\StartCurveAt#1WithDir#2{% +\begingroup +\GetCoord(#1)\@tempa\@tempb +\CopyVect\@tempa,\@tempb to\@Pzero +\pIIe@moveto{\@tempa\unitlength}{\@tempb\unitlength}% +\GetCoord(#2)\@tempa\@tempb +\CopyVect\@tempa,\@tempb to\@Dzero +\DirOfVect\@Dzero to\@Dzero +\ignorespaces} +\def\ChangeDir<#1>{% +\GetCoord(#1)\@tempa\@tempb +\CopyVect\@tempa,\@tempb to\@Dzero +\DirOfVect\@Dzero to\@Dzero +\ignorespaces} +\def\CurveFinish{\strokepath\endgroup\ignorespaces}% +\def\FillCurve{\fillpath\endgroup\ignorespaces} +\def\CurveEnd{\fillstroke\endgroup\ignorespaces} +\def\CbezierTo#1WithDir#2AndDists#3And#4{% +\GetCoord(#1)\@tX\@tY \MakeVectorFrom\@tX\@tY to\@Puno +\GetCoord(#2)\@tX\@tY \MakeVectorFrom\@tX\@tY to \@Duno +\DirOfVect\@Duno to\@Duno +\ScaleVect\@Dzero by#3to\@Czero \AddVect\@Pzero and\@Czero to\@Czero +\ScaleVect\@Duno by-#4to \@Cuno \AddVect\@Puno and\@Cuno to \@Cuno +\GetCoord(\@Czero)\@XCzero\@YCzero +\GetCoord(\@Cuno)\@XCuno\@YCuno +\GetCoord(\@Puno)\@XPuno\@YPuno +\pIIe@curveto{\@XCzero\unitlength}{\@YCzero\unitlength}% + {\@XCuno\unitlength}{\@YCuno\unitlength}% + {\@XPuno\unitlength}{\@YPuno\unitlength}% +\CopyVect\@Puno to\@Pzero +\CopyVect\@Duno to\@Dzero +\ignorespaces}% +\def\CbezierBetween#1And#2WithDirs#3And#4UsingDists#5And#6{% +\StartCurveAt#1WithDir{#3}\relax +\CbezierTo#2WithDir#4AndDists#5And{#6}\CurveFinish} + +\def\@isTension#1;#2!!{\def\@tempA{#1}% +\def\@tempB{#2}\unless\ifx\@tempB\empty\strip@semicolon#2\fi} + +\def\strip@semicolon#1;{\def\@tempB{#1}} +\def\CurveTo#1WithDir#2{% +\def\@Tuno{1}\def\@Tzero{1}\relax +\edef\@Puno{#1}\@isTension#2;!!% +\expandafter\DirOfVect\@tempA to\@Duno +\bgroup\unless\ifx\@tempB\empty\GetCoord(\@tempB)\@Tzero\@Tuno\fi +\DistanceAndDirOfVect\@Puno minus\@Pzero to\@Chord and\@DirChord +\MultVect\@Dzero by*\@DirChord to \@Dpzero +\MultVect\@Duno by*\@DirChord to \@Dpuno +\GetCoord(\@Dpzero)\@DXpzero\@DYpzero +\GetCoord(\@Dpuno)\@DXpuno\@DYpuno +\DivideFN\@Chord by2 to\@semichord +\ifdim\@DXpzero\p@=\z@ + \@tdA=1.333333\p@ + \Numero\@KCzero{\@semichord\@tdA}% +\fi +\ifdim\@DYpzero\p@=\z@ + \@tdA=1.333333\p@ + \Numero\@Kpzero{\@semichord\@tdA}% +\fi +\unless\ifdim\@DXpzero\p@=\z@ + \unless\ifdim\@DYpzero\p@=\z@ + \edef\@CosDzero{\ifdim\@DXpzero\p@<\z@ -\fi\@DXpzero}% + \edef\@SinDzero{\ifdim\@DYpzero\p@<\z@ -\fi\@DYpzero}% + \@tdA=\@semichord\p@ \@tdA=1.333333\@tdA + \DividE\@tdA by\@SinDzero\p@ to \@KCzero + \@tdA=\dimexpr(\p@-\@CosDzero\p@)\relax + \DividE\@KCzero\@tdA by\@SinDzero\p@ to \@KCzero + \fi +\fi +\MultiplyFN\@KCzero by \@Tzero to \@KCzero +\ScaleVect\@Dzero by\@KCzero to\@CPzero +\AddVect\@Pzero and\@CPzero to\@CPzero +\ifdim\@DXpuno\p@=\z@ + \@tdA=-1.333333\p@ + \Numero\@KCuno{\@semichord\@tdA}% +\fi +\ifdim\@DYpuno\p@=\z@ + \@tdA=-1.333333\p@ + \Numero\@KCuno{\@semichord\@tdA}% +\fi +\unless\ifdim\@DXpuno\p@=\z@ + \unless\ifdim\@DYpuno\p@=\z@ + \edef\@CosDuno{\ifdim\@DXpuno\p@<\z@ -\fi\@DXpuno}% + \edef\@SinDuno{\ifdim\@DYpuno\p@<\z@ -\fi\@DYpuno}% + \@tdA=\@semichord\p@ \@tdA=-1.333333\@tdA + \DividE\@tdA by \@SinDuno\p@ to \@KCuno + \@tdA=\dimexpr(\p@-\@CosDuno\p@)\relax + \DividE\@KCuno\@tdA by\@SinDuno\p@ to \@KCuno + \fi +\fi +\MultiplyFN\@KCuno by \@Tuno to \@KCuno +\ScaleVect\@Duno by\@KCuno to\@CPuno +\AddVect\@Puno and\@CPuno to\@CPuno +\GetCoord(\@Puno)\@XPuno\@YPuno +\GetCoord(\@CPzero)\@XCPzero\@YCPzero +\GetCoord(\@CPuno)\@XCPuno\@YCPuno +\pIIe@curveto{\@XCPzero\unitlength}{\@YCPzero\unitlength}% + {\@XCPuno\unitlength}{\@YCPuno\unitlength}% + {\@XPuno\unitlength}{\@YPuno\unitlength}\egroup +\CopyVect\@Puno to\@Pzero +\CopyVect\@Duno to\@Dzero +\ignorespaces}% +\def\Curve{\@ifstar{\let\fillstroke\fillpath\Curve@}% +{\let\fillstroke\strokepath\Curve@}} + +\def\Curve@(#1)<#2>{% + \StartCurveAt#1WithDir{#2}% + \@ifnextchar\lp@r\@Curve{% + \PackageWarning{curve2e}{% + Curve specifications must contain at least two nodes!\Messagebreak + Please, control your \string\Curve\space specifications\MessageBreak}}} +\def\@Curve(#1)<#2>{% + \CurveTo#1WithDir{#2}% + \@ifnextchar\lp@r\@Curve{% + \@ifnextchar[\@ChangeDir\CurveEnd}} +\def\@ChangeDir[#1]{\ChangeDir<#1>\@Curve} +\def\Qurve{\@ifstar{\let\fillstroke\fillpath\Qurve@}% +{\let\fillstroke\strokepath\Qurve@}} + +\def\Qurve@(#1)<#2>{% + \StartCurveAt#1WithDir{#2}% + \@ifnextchar\lp@r\@Qurve{% + \PackageWarning{curve2e}{% + Quadratic curve specifications must contain at least + two nodes!\Messagebreak + Please, control your Qurve specifications\MessageBreak}}}% + +\def\@Qurve(#1)<#2>{\QurveTo#1WithDir{#2}% + \@ifnextchar\lp@r\@Qurve{% + \@ifnextchar[\@ChangeQDir\CurveEnd}}% + +\def\@ChangeQDir[#1]{\ChangeDir<#1>\@Qurve}% +\def\QurveTo#1WithDir#2{% +\edef\@Puno{#1}\DirOfVect#2to\@Duno\bgroup +\DistanceAndDirOfVect\@Puno minus\@Pzero to\@Chord and\@DirChord +\MultVect\@Dzero by*\@Duno to \@Scalar +\YpartOfVect\@Scalar to \@YScalar +\ifdim\@YScalar\p@=\z@ +\PackageWarning{curve2e}% + {Quadratic Bezier arcs cannot have their starting\MessageBreak + and ending directions parallel or antiparallel with\MessageBreak + each other. This arc is skipped and replaced with + a dotted line.\MessageBreak}% + \Dotline(\@Pzero)(\@Puno){2}\relax +\else +\MultVect\@Dzero by*\@DirChord to \@Dpzero +\MultVect\@Duno by*\@DirChord to \@Dpuno +\GetCoord(\@Dpzero)\@DXpzero\@DYpzero +\GetCoord(\@Dpuno)\@DXpuno\@DYpuno +\MultiplyFN\@DXpzero by\@DXpuno to\@XXD +\MultiplyFN\@DYpzero by\@DYpuno to\@YYD +\unless\ifdim\@YYD\p@<\z@\ifdim\@XXD\p@<\z@ +\PackageWarning{curve2e}% + {Quadratic Bezier arcs cannot have inflection points\MessageBreak + Therefore the tangents to the starting and ending arc\MessageBreak + points cannot be directed to the same half plane.\MessageBreak + This arc is skipped and replaced by a dotted line\MessageBreak}% + \Dotline(\@Pzero)(\@Puno){2}\fi +\else +\edef\@CDzero{\@DXpzero}\relax +\edef\@SDzero{\@DYpzero}\relax +\edef\@CDuno{\@DXpuno}\relax +\edef\@SDuno{\@DYpuno}\relax +\MultiplyFN\@SDzero by\@CDuno to\@tempA +\MultiplyFN\@SDuno by\@CDzero to\@tempB +\edef\@tempA{\strip@pt\dimexpr\@tempA\p@-\@tempB\p@}\relax +\@tdA=\@SDuno\p@ \@tdB=\@Chord\p@ \@tdC=\@tempA\p@ +\edef\@tempC{\strip@pt\dimexpr \@tdA*\@tdB/\@tdC}\relax +\MultiplyFN\@tempC by\@CDzero to \@XC +\MultiplyFN\@tempC by\@SDzero to \@YC +\ModOfVect\@XC,\@YC to\@KC +\ScaleVect\@Dzero by\@KC to\@CP +\AddVect\@Pzero and\@CP to\@CP +\GetCoord(\@Pzero)\@XPzero\@YPzero +\GetCoord(\@Puno)\@XPuno\@YPuno +\GetCoord(\@CP)\@XCP\@YCP +\@ovxx=\@XPzero\unitlength \@ovyy=\@YPzero\unitlength +\@ovdx=\@XCP\unitlength \@ovdy=\@YCP\unitlength +\@xdim=\@XPuno\unitlength \@ydim=\@YPuno\unitlength + \pIIe@bezier@QtoC\@ovxx\@ovdx\@ovro + \pIIe@bezier@QtoC\@ovyy\@ovdy\@ovri + \pIIe@bezier@QtoC\@xdim\@ovdx\@clnwd + \pIIe@bezier@QtoC\@ydim\@ovdy\@clnht + \pIIe@curveto\@ovro\@ovri\@clnwd\@clnht\@xdim\@ydim +\fi\fi\egroup +\CopyVect\@Puno to\@Pzero +\CopyVect\@Duno to\@Dzero +\ignorespaces} + +%% +%% +%% Distributable under the LaTeX Project Public License, +%% version 1.3c or higher (your choice). The latest version of +%% this license is at: http://www.latex-project.org/lppl.txt +%% +%% This work is "author-maintained" +%% +%% This work consists of file curve2e.dtx, and the derived files +%% curve2e.sty and curve2e.pdf, plus the auxiliary derived files +%% README.txt and manifest.txt. +%% +%% +%% End of file `curve2e.sty'. |