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author | Karl Berry <karl@freefriends.org> | 2021-10-01 22:02:17 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2021-10-01 22:02:17 +0000 |
commit | 198243b8998916deb875ce76b943080704c49ed7 (patch) | |
tree | ac8d6d4a7cd897936c3b6a91261e8b62cd33a0c0 /Master/texmf-dist/doc/generic/pst-fill | |
parent | 91db8d984edbc2bdf3d6051f4bafe35849dbf3c5 (diff) |
pst-fill (2oct21)
git-svn-id: svn://tug.org/texlive/trunk@60671 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/generic/pst-fill')
-rw-r--r-- | Master/texmf-dist/doc/generic/pst-fill/Changes | 2 | ||||
-rw-r--r-- | Master/texmf-dist/doc/generic/pst-fill/README | 23 | ||||
-rw-r--r-- | Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.bib | 168 | ||||
-rw-r--r-- | Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.pdf | bin | 0 -> 957618 bytes | |||
-rw-r--r-- | Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.tex | 1238 | ||||
-rw-r--r-- | Master/texmf-dist/doc/generic/pst-fill/pst-fill.pdf | bin | 1230303 -> 0 bytes |
6 files changed, 1415 insertions, 16 deletions
diff --git a/Master/texmf-dist/doc/generic/pst-fill/Changes b/Master/texmf-dist/doc/generic/pst-fill/Changes index 9310a2082cd..8b7ad7e33b4 100644 --- a/Master/texmf-dist/doc/generic/pst-fill/Changes +++ b/Master/texmf-dist/doc/generic/pst-fill/Changes @@ -1,4 +1,6 @@ pst-fill.sty -------- + pst-fill.tex -------- +1.02 2021-10-01 make it run under lualatex 1.01 2007-03-10 bugfix for incomplete ifx (hv) diff --git a/Master/texmf-dist/doc/generic/pst-fill/README b/Master/texmf-dist/doc/generic/pst-fill/README index 71304960dfb..6a97aba5073 100644 --- a/Master/texmf-dist/doc/generic/pst-fill/README +++ b/Master/texmf-dist/doc/generic/pst-fill/README @@ -1,20 +1,8 @@ pst-fill: tiling and filing of areas and characters - -pst-fill.dtx - The dtx file -pst-fill.ins - The ins file -pst-fill.pdf - The documentation, generated from the docstrip file - -to get the sty, the tex and the pdf file, run the Makefile or alternative - -latex pst-fill.ins -latex pst-fill.dtx -makeindex -s gind.ist pst-fill -makeindex -s gglo.ist -o pst-fill.gls pst-fill.glo -latex pst-fill.dtx -dvips pst-fill.dvi -ps2pdf pst-fill.ps - +pst-fill.sty - The latex file +pst-fill.tex - The tex file +pst-fill-doc.pdf - The documentation, generated from the docstrip file This version of pst-fill uses the extended version of the keyval package. So be sure that you @@ -23,7 +11,10 @@ package. So be sure that you - do not load another package after pst-fill, which loads the old keyval.sty or pst-key.tex +%% This program can be redistributed and/or modified under the terms +%% of the LaTeX Project Public License Distributed from CTAN archives +%% in directory macros/latex/base/lppl.txt. -- -Herbert Voss 2006-11-06 +hvoss@tug.org
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.bib b/Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.bib new file mode 100644 index 00000000000..a92704ac2d3 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.bib @@ -0,0 +1,168 @@ +@STRING{tugboat = {TUGboat} } +@STRING{beiprogramm = {{\TeX}-Beiprogramm} } +@STRING{bretter = {Bretter, die die Welt bedeuten} } +@STRING{dtk = {{D}ie {\TeX}nische {K}om{\"o}die} } +@STRING{editorial = {Editorial} } +@STRING{fremdebuehne = {Von fremden B{\"u}hnen} } +@STRING{fundus = {Aus dem Fundus} } +@STRING{hinterbuehne = {Hinter der B{\"u}hne} } +@STRING{leserbrief = {Leserbrief(e)} } +@STRING{magazin = {Magazin} } +@STRING{rezension = {Rezensionen} } +@STRING{schonimmer = {Was Sie schon immer {\"u}ber {\TeX} wissen wollten \dots} } +@STRING{theaterkasse = {Von der Theaterkasse} } +@STRING{theatertage = {{\TeX}-Theatertage} } + +@manual{PostScript95, +author= {Adobe Systems~Incorporated}, +title = {PostScript Language Reference Manual}, +publisher = {Addison-Wesley}, +edition=2, +date ={1995} +} + +@article{Bolek98, +author={Piotr Bolek}, +title={\MP{} and patterns}, +journal = tugboat, +volume=19, +number=3, +pages= {276--283}, +date = {1998-09}, +} +% +@article{MLgraphTSI, +author={Emmanuel Chailloux and Guy Cousineau and Ascánder Suárez}, +title={Programmation fonctionnelle de graphismes pour la production +d'illustrations techniques}, +journal={Technique et science informatique}, +volume=15, +number=7, +pages={977--1007}, +date= {1996}, +} +% +@book{Deledicq97, +author={André Deledicq}, +title={Le monde des pavages}, +Publisher={ACL Editions}, +date={1997}, +} +% +@article{EsperetGirou98, +author={Philippe Esperet and Denis Girou}, +title={Coloriage du pavage dit de Truchet}, +journal={Cahiers GUTenberg}, +Number=31, +pages={ 5--18}, +date={1998-12}, +} + +@article{Girou94, + author = {Denis Girou}, + title = {Pr\'esentation de {PST}ricks}, + journal = {Cahier {GUT}enberg}, + year = 1994, + volume = {16}, + month = apr, + pages = {21-70}, +} + +@book{LGC97, +author = {Michel Goosens and Frank Mittelbach and Sebastian Rahtz and Dennis Roegel and Herbert Vo\ss}, + title = {The {\LaTeX} {G}raphics {C}ompanion}, + publisher = {{Addison-Wesley Publishing Company}}, + edition = {2}, + year = {2007}, + location = {Boston, Mass.} +} + +@book{GS87, +author={Branko Grünbaum and Geoffrey Shephard}, +title= {Tilings and Patterns}, +publisher={Freeman and Company}, +date={1987}, +} +@book{Hoenig97, +author= {Alan Hoenig}, +title= {\TeX{} Unbound: \LaTeX{} \& \TeX{}}, +subtitle={Strategies, Fonts, Graphics, and More}, +publisher={Oxford University Press}, +date={1997}, +} +% +@ctan{XYpic, +title = {The Xypic package}, +subtitle = {Flexible diagramming macros}, +author = {Rose, Kristoffer H. and Moore, Ross}, +url = {https://ctan.org/pkg/xypic}, +urldate = {2021-09-30}, +date = {}, +version = {3.8.9}, +} +% +@article{LAAN96, +author= {Kees van der Laan}, +title= {Paradigms: Just a little bit of PostScript}, +journal={MAPS}, +volume =17, +pages = {137--150}, +date = {1996}, +} +% +@article{LAAN97, +author= {Kees van der Laan}, +title= {Tiling in PostScript and \MF{} -- Escher's +wink}, +journal={MAPS}, +volume =19, +number=2, +pages = {39--67}, +date = {1997}, +} + +@ctan{vanZandt93, + Title = {PSTricks -- {\PS} macros for {G}eneric \TeX}, + author = {Timothy Van Zandt and Herbert Voß} , + date = 2016, + url = {http://PSTricks.tug.org/}, + urldate={2016-04-18}, +} +% +@article{vanZandtGirou94, + author = {Timothy Van Zandt and Denis Girou}, + title = {Inside PSTricks}, + journal = {TUGboat}, + year = {1994}, + volume = {15}, + month = sep, + pages = {239--246} +} + +% +@Book{voss07, + author = {Herbert Vo\ss{}}, + title = {\texttt{PSTricks} -- {G}rafik f\"ur \TeX{} und \LaTeX}, + edition = {7}, + publisher = {DANTE and Lehmanns Media}, + year = {2016}, + location = {Heidelberg and Berlin} +} + +@Book{PSTricksE, + author = {Herbert Vo\ss{}}, + title = {\texttt{PSTricks} -- {G}raphics and {P}ost{S}cript for \LaTeX}, + edition = {1}, + publisher = {UIT}, + year = {2011}, + location = {Cambridge -- UK} +} +% +@jornal{Wang65, +author= {Hao Wang}, +title={Games, Logic and Computers}, +jpurnal={Scientific American}, +pages={98--106}, +date ={1965-11}, +} + diff --git a/Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.pdf b/Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.pdf Binary files differnew file mode 100644 index 00000000000..4e2abf14df6 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.pdf diff --git a/Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.tex b/Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.tex new file mode 100644 index 00000000000..edcbfdd3089 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-fill/pst-fill-doc.tex @@ -0,0 +1,1238 @@ +\RequirePackage{pdfmanagement-testphase} +\DeclareDocumentMetadata{} +%% $Id: pst-fill-doc.tex 293 2021-10-01 11:24:25Z herbert $ +\documentclass[fontsize=11pt,english,BCOR=10mm,DIV=12,bibliography=totoc,parskip=false, + headings=small, headinclude=false,footinclude=false,oneside]{pst-doc} + +\usepackage{hvlogos,hvextern} +\usepackage{pstricks,pst-grad} +\usepackage{pst-text,pst-node} +\usepackage[tiling]{pst-fill} + +\input random.tex + +\DeclareRobustCommand\cs[1]{\texttt{\char`\\#1}} +\makeatletter +\newcommand\acro[1]{\textsc{#1}\@} +\def\CTAN{\acro{CTAN}} +\let\texttub\textsl % % redefined in other situations +\def\TUB{\texttub{TUGboat}} +\def\TUG{\TeX\ \UG} +\def\tug{\acro{TUG}} +\def\UG{Users Group} +\newcommand\CTANdirectory[1]{\expandafter\urldef\csname CTAN@#1\endcsname\path} +\newcommand\CTANfile[1]{\expandafter\urldef\csname CTAN@#1\endcsname\path} +\newcommand\CTANref[1]{\expandafter\@setref\csname CTAN@#1\endcsname\relax{#1}} +\makeatother +\CTANdirectory{mpattern}{graphics/metapost/macros/mpattern} +\CTANdirectory{pstricks}{graphics/pstricks} +\CTANdirectory{pst-fill.sty}{graphics/pstricks/latex/pst-fill.sty} +\CTANdirectory{pst-fill}{graphics/pstricks/generic/pst-fill.tex} +\CTANdirectory{Roegel}{graphics/metapost/contrib/macros/truchet} +\CTANdirectory{xypic}{macros/generic/diagrams/xypic} +% +\definecolor{LemonChiffon}{rgb}{1.,0.98,0.8} +\definecolor{LightBlue} {rgb}{0.8,0.85,0.95} +\definecolor{PaleGreen} {rgb}{0.88,1,0.88} +\definecolor{PeachPuff} {rgb}{1.0,0.85,0.73} +% +\newcommand{\FillPackage}{\texttt{`pst-fill'}} +\newcommand{\XYpic}{% + \leavevmode\hbox{\kern-.1em X\kern-.3em\lower.4ex\hbox{Y\kern-.15em}-pic}} +\psset{dimen=middle} +% +% % Translation in PSTricks from the one drawn by Emmanuel Chailloux and +% % Guy Cousineau for the MLgraph system +% % (see /ftp.ens.fr:/pub/unix/lang/MLgraph/version-2.1/MLgraph-refman.ps.gz) +% % The kangaroo itself is reproduce from an original picture from Raoul Raba + \newcommand{\DimX}{2.47} + \newcommand{\DimY}{4.8} + \newcommand{\DimXDivTwo}{1.235} +% + \newcommand\KangarooItself[1]{% + \pspolygon[fillstyle=solid,fillcolor=#1]% + (52.5,68)(55,72.5)(55.8,76.5)(56.8,79.8)(58.2,83)(60,85.8)(61.5,86.5) + (64,87)(66,87.5)(67.8,87.3)(70,87)(71.5,87.3)(73,88)(74.7,88.5) + (76,90.3)(77,91.5)(72.8,93.8)(69,96)(64.5,99)(59.4,103)(56.2,106.3) + (53,110.5)(49.5,115.5)(47.2,119.9)(45.7,126)(43.2,123)(41.5,121)(37.5,125) + (37,122.5)(36.8,120)(37,117)(37.6,113.5)(38.6,110)(40,106.3)(42,102.3) + (43.5,99.5)(45,97)(46.2,94)(46.8,91.7)(47.2,88)(47,83.5)(46.3,80.8) + (45.3,78.5)(42.5,76.5)(39.5,75.8)(36,75.9)(33,75.9)(29,76.2)(26,77) + (22.3,77.5)(18,78.4)(12.8,79.3)(8.6,80)(5.5,80.3)(3,80.5)(0,80) + (-5.2,78.5)(-9,76.3)(-11.2,74.8)(-13,72.5)(-16.5,68)(-16.5,68)(-19.5,62.5) + (-22,58)(-25.5,53)(-29,48.5)(-32.5,45)(-36,42)(-39,39.5)(-44,37) + (-49,35)(-51,34)(-53.5,34.5)(-55.5,36)(-56.5,38)(-56.5,40.5)(-55,41.5) + (-53.5,41)(-51.5,41)(-50.5,43)(-50.5,44.5)(-51,47)(-51.5,47.2)(-56.5,47) + (-58.5,46.5)(-60,44.7)(-62,42.3)(-63,39.5)(-63.5,36.3)(-63.5,33)(-63.1,29.5) + (-61.5,26)(-58,23.6)(-54,22.2)(-50.7,22)(-47.5,22)(-44.5,22.3)(-41,23.5) + (-36.8,25.8)(-33,28)(-28.5,31)(-23.4,35)(-20.2,38.3)(-17,42.5)(-13.5,47.5) + (-11.2,51.9)(-9.7,58)(-7.2,55)(-5.5,53)(-1.5,57)(-1,54.5)(-0.8,52) + (-1,49)(-1.6,45.5)(-2.6,42)(-4,38.3)(-6,34.3)(-7.5,31.5)(-9,29) + (-10.2,26)(-10.8,23.7)(-11.2,20)(-11,15.5)(-10.3,12.8)(-9.3,10.5)(-6.5,8.5) + (-3.5,7.8)(0,7.9)(3,7.9)(7,8.2)(10,9)(13.7,9.5)(18,10.4) + (23.2,11.3)(27.4,12)(30.5,12.3)(33,12.5)(36,12)(41.2,10.5)(45,8.3) + (47.2,6.8)(49,4.5)(52.5,0)(50,4.5)(49.2,8.5)(48.2,11.8)(46.8,15) + (45,17.8)(43.5,18.5)(41,19)(39,19.5)(37.2,19.3)(35,19)(33.5,19.3) + (32,20)(30.3,20.5)(29,22.3)(28,23.5)(28,23.5)(24.5,22.3)(21.5,22) + (18.3,22)(15,22.2)(11,23.6)(7.5,26)(5.9,29.5)(5.5,33)(5.5,36.3) + (6,39.5)(7,42.3)(9,44.7)(10.5,46.5)(12.5,47)(17.5,47.2)(18,47) + (18.5,44.5)(18.5,43)(17.5,41)(15.5,41)(14,41.5)(12.5,40.5)(12.5,38) + (13.5,36)(15.5,34.5)(18,34)(20,35)(25,37)(30,39.5)(33,42) + (36.5,45)(40,48.5)(43.5,53)(47,58)(49.5,62.5)(52.5,68) + \pscircle*[linecolor=white](58.2,98.3){2\psxunit} +\pscircle*(58.2,97.3){\psxunit} +% Mouth +\psline(71.5,88)(70,89.3)(68.5,90.3)(67,91.9)% +% Tear +\psline(42,121)(45,118)(47,115.3)(48.5,112.7)(50,110)(51.8,106.5) + (52.5,103.7)(53,100.5)% +\pspolygon(41.2,115.8)(43.2,114.7)(45,112.5)(47,109.8)(48,107)(49.5,104.2)% + (50.5,101.6)(51,98.5)(47.7,100.6)(46,102.2)(44.8,104)(43.5,106) + (42.5,108)(41.7,110.5)(41,113.2)} +% +\newcommand\Kangaroo[1]{% + \begin{pspicture}(\DimX,\DimY) + \psset{unit=0.035278cm}% + \KangarooItself{#1}% + \end{pspicture}} +% +\newcommand\KangarooPstChart[1]{{% + \psset{xunit=0.006784,yunit=0.00735,linewidth=0.01}% + \begin{pspicture}(-65.5,0)(82,126)% + \KangarooItself{#1}% + \end{pspicture}}} +% +% +% For the possible index and changes log +\setlength{\columnseprule}{0.6pt} +% +% Beginning of the documentation itself +\title{\texttt{pst-fill}\\A PSTricks package for filling and tiling areas} +%\author{Timothy Van Zandt\thanks{\protect\url{tvz@econ.insead.fr}. (documentation by +\author{Timothy Van Zandt\\Denis Girou\\ Herbert Voß} +% +%\date{\shortstack{\today --- Version 1.00\\ +% {\small Documentation revised \today}}} + +\addbibresource{\jobname.bib} + +\begin{document} +\settitle +\tableofcontents +% +\begin{abstract} + \FillPackage{} is a PSTricks \cite{vanZandt93},\cite{Girou94},\cite{vanZandtGirou94}, +\cite{Hoenig97},\cite{LGC97} +package to draw easily + various kinds of filling and tiling of areas. It is also a good example of + the great power and flexibility of PSTricks, as in fact it is a very short + program (it body is around 200~lines long) but nevertheless really powerful. + + It was written in 1994 by Timothy \textsc{van Zandt} but + publicly available only in PSTricks 97 and without any documentation. + We describe here the version \emph{97 patch 2} of December 12, 1997, which + is the original one modified by myself to manage \emph{tilings} in the + so-called \emph{automatic} mode. This article would like to serve both of + reference manual and of user's guide. +% +This package is available on \CTAN{} in the + \texttt{graphics/pstricks} directory (files \texttt{latex/pst-fill.sty} and + \texttt{generic/pst-fill.tex}). +\end{abstract} +% +\section{Introduction} + + Here we will refer as \emph{filling} as the operation which consist to fill +a defined area by a pattern (or a composition of patterns). We will refer as +\emph{tiling} as the operation which consist to do the same thing, but with +the control of the starting point, which is here the upper left corner. +The pattern is positioned relatively to this point. This make an essential +difference between the two modes, as without control of the starting point we +can't draw \emph{tilings} (sometimes called \emph{tesselations}) as used in +many fields of Art and Science% +\footnote{For an extensive presentation of tilings, in their history and usage +in many fields, see the reference book \cite{GS87}. + +In the \TeX{} world, few work was done on tilings. You can look at the +\emph{tile} extension of the \XYpic{} package \cite{XYpic}, at the articles of +Kees \textsc{van der Laan} \cite[paragraph 7]{LAAN96} (the tiling was in +fact directly done in PostScript) and \cite{LAAN97}, at the \MP{} program +(available on \path{CTAN:graphics/metapost/contrib/macros/truchet}) by Denis \textsc{Roegel} for the +\textsc{Truchet} contest in 1995 \cite{EsperetGirou98} and at the \MP{} +package \cite{Bolek98} to draw patterns, which have a strong connection with +tilings.} + +Nevertheless, as tilings are a wide and difficult field in mathematics, this +package is limited to simple ones, mainly \emph{monohedral} tilings with one +prototile (which can be composite, see section \ref{sec:KindTiles}). With some +experience and wiliness we can do more and obtained easily rather +sophisticated results, but obviously hyperbolic tilings like the famous +\textsc{Escher} ones or aperiodic tilings like the \textsc{Penrose} ones are +not in the capabilities of this package. For more complex needs, we must used +low level and more painfull technics, with the basic \cs{multido} +and \cs{multirput} macros. + + +\newcommand\Square{\begin{pspicture}(1,1)\psframe[dimen=middle](1,1)\end{pspicture}} +\newcommand\Tiling[2][]{% + \begin{pspicture}#2 + \psframe[fillstyle=boxfill,#1]#2 +\end{pspicture}} + + +\section{Package history and description of it two different modes} +% + As already said, this package was written in 1994 by Timothy \textsc{van +Zandt}. Two modes were defined, called respectively \emph{manual} and +\emph{automatic}. For both, the pattern is generated on contiguous positions in +a rather large area which include the region to fill, later cut to the +required dimensions by clipping mechanism. In the first mode, the pattern is +explicitely inserted in the PostScript file each time. In the second one, the +result is the same but with an unique explicit insertion of the pattern and a +repetition done by PostScript. Nevertheless, in this method, the control of +the starting point was loosed, so it allowed only to \emph{fill} a region and +not to \emph{tile} it. + +Between the two modes, \emph{tiling} and filling is a difference: for filling the current point +is taken into account and two identical objects in a line may differ in the output. + +\pstFillSetDefaults + See the difference between the two modes, \emph{tiling}: +{\psset{unit=0.5} + \psboxfill{\begin{pspicture}(1,1)\psframe[dimen=middle](1,1)\end{pspicture}} + \begin{pspicture}(3,3.3) + \psframe[fillstyle=boxfill](3,3) + \end{pspicture} +} +and \emph{filling}: +{% +\makeatletter +\pst@def{BoxFill}<% + gsave + gsave \tx@STV CM grestore dtransform CM idtransform + abs /h ED abs /w ED + pathbbox + h div round 2 add cvi /y2 ED + w div round 2 add cvi /x2 ED + h div round 2 sub cvi /y1 ED + w div round 2 sub cvi /x1 ED + /y2 y2 y1 sub def + /x2 x2 x1 sub def + CP + y1 h mul sub neg /y1 ED + x1 w mul sub neg /x1 ED + clip + y2 { + /x x1 def + x2 { + save CP x y1 T moveto Box restore + /x x w add def + } repeat + /y1 y1 h add def + } repeat + currentpoint currentfont grestore setfont moveto> + \makeatother +% + \psset{unit=0.5} + \psboxfill{\begin{pspicture}(1,1)\psframe[dimen=middle](1,1)\end{pspicture}} + \begin{pspicture}(3,3.3) + \psframe[fillstyle=boxfill](3,3) + \end{pspicture} + or + \begin{pspicture}(3,3.3) + \psframe[fillstyle=boxfill](3,3) + \end{pspicture} +} +as we can see that initial position is arbitrary and dependent of +the current point. + + +It's clear that usage of filling is very restrictive comparing to tiling, +as desired effects required very often the possibility to control the starting +point. So, this mode was of limited interest, but unfortunately the +\emph{manual} one has the very big disadvantage to require very huge amounts +of ressources, mainly in disk space and consequently in printing time. +A small tiling can require sometimes several megabytes in \emph{manual} mode! +So, it was very often not really usable in practice. + +It is why I modified the code, to allow tilings in \emph{automatic} mode, +controlling in this mode too the starting point. And most of the time, that is +to say if some special options are not used, the tiling is done exactly in the +region described, which make it faster. So there is no more reason to use the +\emph{manual} mode, apart very special cases where \emph{automatic} one cannot +work, as explained later -- currently, I know only one case. + + To load this modified \emph{automatic} mode, with \LaTeX{} use +simply:\newline +\verb+\usepackage[tiling]{pst-fill}+\newline +and in plain \TeX{} after:\newline +\verb+\input{pst-fill}+\newline +add the following definition:\newline +\verb+\def\PstTiling{1}+ + +To obtain the original behaviour, just don't use the \emph{tiling} optional +keyword at loading. + +Take care than in \emph{tiling} mode, I introduce also some other changes. +First I define aliases on some parameter names for consistancy (all specific +parameters will begin by the \texttt{fill} prefix in this case) and I change +some default values, which were not well adapted for tilings (\Lkeyword{fillsep} +is set to 0 and as explained \Lkeyword{fillsize} set to \Lkeyval{auto}). I rename +\Lkeyword{fillcycle} to \Lkeyword{fillcyclex}. I also restore normal way so that +the frame of the area is drawn and all line (\Lkeyword{linestyle}, +\Lkeyword{linecolor}, \texttt{doubleline}, etc.) parameters are now active (but +there are not in non \emph{tiling} mode). And I also introduce new parameters +to control the tilings (see below). + + \textbf{In all the following examples, we will consider only the +\Lkeyword{tiling} mode.} +% + To do a tiling, we have just to define the pattern with the +\Lcs{psboxfill} macro and to use the new \Lkeyword{fillstyle} +\Lkeyval{boxfill}. +% + Note that tilings are drawn from left to right and top to bottom, which can +have an importance in some circonstances. +% + PostScript programmers can be also interested to know that, even in the +\emph{automatic} mode, the iterations of the pattern are managed directly by +the PostScript code of the package which used only PostScript Level 1 +operators. The special ones introduced in Level 2 for drawing of patterns +\cite[section 4.9]{PostScript95} are not used. +% + And first, for conveniance, we define a simple \Lcs{Tiling} macro, which +will simplify our examples: +% +\begin{verbatim} + \newcommand{\Tiling}[2][]{% + \begin{pspicture}#2 + \psframe[fillstyle=boxfill,#1]#2 + \end{pspicture}} +\end{verbatim} +% +\subsection{Parameters} +% + There are \textbf{14} specific parameters available to change the way the +filling/tiling is defined, and one debugging option. +% +\begin{description} + \item [\Lkeyword{fillangle} (real)\hfill :] the value of the rotation + applied to the patterns (\emph{Default:~0}). +\end{description} +% +\pstFillSetDefaults +% + In this case, we must force the tiling area to be notably larger than the +area to cover, to be sure that the defined area will be covered after rotation. +\begin{LTXexample}[width=4cm,pos=l] +\newcommand\Cross{\begin{pspicture}(1,1) + \psline[linecolor=red,dimen=middle](0,0.5)(1,0.5) + \psline[linecolor=blue,dimen=middle](0.5,0)(0.5,1) +\end{pspicture}} +\psset{unit=0.5cm} +\psboxfill{\Cross} +\Tiling[fillangle=0]{(3,3)} \\[2pt] +\Tiling[fillangle=45]{(3,3)}\\[2pt] +\Tiling[fillangle=-60]{(3,3)} +\end{LTXexample} + + +\begin{description} + \item[\Lkeyword{fillsepx} (real$\|$dim) :] value of the horizontal + separation between consecutive patterns (\emph{Default:~0 for + tilings\footnote{This option is not part of the original package + and is available only if the + \texttt{tiling} keyword is used when loading the package.} , 2pt otherwise}). + \item [\Lkeyword{fillsepy} (real$\|$dim)\hfill :] value of the vertical + separation between consecutive patterns (\emph{Default:~0 for + ti\-lings\footnote{ebd.}, 2pt otherwise}). +%\addtocounter{footnote}{-1} + \item [\Lkeyword{fillsep} (real$\|$dim)\hfill :] value of horizontal and + vertical separations between consecutive patterns (\emph{Default:~0 for + tilings\footnote{ebd.}, 2pt otherwise}). +\end{description} + + These values can be negative, which allow the tiles to overlap. + +\begin{LTXexample}[width=\linewidth] +\psset{unit=0.5cm} +\psboxfill{\Square} +\Tiling[fillsepx=2mm]{(3,3)} \quad +\Tiling[fillsepy=1mm]{(3,3)} \quad +\Tiling[fillsep=0.5]{(3,3)} \quad +\Tiling[fillsep=-0.5]{(3,3)} +\end{LTXexample} + + + + +\begin{description} + \item [\Lkeyword{fillcyclex}\footnotemark\ (integer)\hfill :] Shift + coefficient applied to each row (\emph{Default:~0}). + \footnote{It was \texttt{fillcycle} in the original version.} + \item [\Lkeyword{fillcycley}\footnotemark\ (integer)\hfill :] Same thing for + columns (\emph{Default:~0}). + \item [\Lkeyword{fillcycle}\footnote{ebd.} (integer)\hfill :] Allow to fix + both \Lkeyword{fillcyclex} and \Lkeyword{fillcycley} directly to the same value + (\emph{Default:~0}). +\end{description} + + For instance, if \Lkeyword{fillcyclex} is 2, the second row of patterns will +be horizontally shifted by a factor of $\frac{1}{2}=0.5$, and by a factor of +0.333 if \Lkeyword{fillcyclex} is 3, etc.). These values can be negative. + +\begin{LTXexample}[width=\linewidth] +\psset{unit=0.5} +\psboxfill{\Square} +\newcommand\TilingA[1]{\Tiling[fillcyclex=#1]{(3,3)}} +\TilingA{0} \TilingA{1} \quad +\TilingA{2} \TilingA{3}\quad +\TilingA{4} \TilingA{5}\quad +\TilingA{6} \TilingA{-3}\\[3mm] +\Tiling[fillcycley=2]{(3,3)}\quad +\Tiling[fillcycley=3]{(3,3)}\quad +\Tiling[fillcycley=-3]{(3,3)}\quad +\Tiling[fillcycle=2]{(3,3)} +\end{LTXexample} + +\begin{description} + \item [\Lkeyword{fillmovex}\footnotemark\ (real$\|$dim)\hfill :] value of the + horizontal moves between consecutive patterns (\emph{Default:~0}). + \item [\Lkeyword{fillmovey}\footnotemark\ (real$\|$dim)\hfill :] value of the + vertical moves between consecutive patterns (\emph{Default:~0}). + \item [\Lkeyword{fillmove}\footnotemark\ (real$\|$dim)\hfill :] value of + horizontal and vertical moves between consecutive patterns + (\emph{Default:~0}). +\end{description} + + These parameters allow the patterns to overlap and to draw some special +kinds of tilings. They are implemented only for the \emph{automatic} and +\emph{tiling} modes and their values can be negative. + + In some cases, the effect of these parameters will be the same that with the +\texttt{fillcycle?} ones, but you can see that it is not true for some other +values. + +\begin{LTXexample} +\psset{unit=0.5} +\psboxfill{\Square} +\Tiling[fillmovex=0.5]{(3,3)}\quad +\Tiling[fillmovey=0.5]{(3,3)}\quad +\Tiling[fillmove=0.5]{(3,3)}\quad +\Tiling[fillmove=-0.5]{(3,3)} +\end{LTXexample} + +\begin{description} + \item [\Lkeyword{fillsize} + (auto$\|$\{(real$\|$dim,real$\|$dim)(real$\|$dim,real$\|$dim)\}) :] The + choice of \emph{automatic} mode or the size of the area in \emph{manual} + mode. If first pair values are not given, (0,0) is used. (\emph{Default: + auto when \emph{tiling} mode is used, {(-15cm,-15cm)(15cm,15cm)} + otherwise}). +\end{description} + + As explained in the introduction, the \emph{manual} mode can require very +huge amount of computer ressources. So, it usage is to discourage in front off +the \emph{automatic} mode. It seems only useful in special circonstances, in +fact when the \emph{automatic} mode failed, which is known only in one case, +for some kinds of EPS files, as the ones produce by dump of portions of +screens (see \ref{sec:GraphicFiles}). + +\begin{description} + \item [\Lkeyword{fillloopaddx}\footnotemark\ (integer)\hfill :] number of + times the pattern is added on left and right positions (\emph{Default:~0}). + \item [\Lkeyword{fillloopaddy}\footnotemark\ (integer)\hfill :] number of + times the pattern is added on top and bottom positions (\emph{Default:~0}). + \item [\Lkeyword{fillloopadd}\footnotemark\ (integer)\hfill :] number of + times the pattern is added on left, right, top and bottom positions + (\emph{Default:~0}). +\end{description} + + These parameters are only useful in special circonstances, as for complex +patterns when the size of the rectangular box used to tile the area doesn't +correspond to the pattern itself (see an example in Figure~\ref{fig:Sheeps}) +and also sometimes when the size of the pattern is not a divisor of the size +of the area to fill and that the number of loop repeats is not properly +computed, which can occur. + + They are implemented only for the \emph{tiling} mode. + + + +\begin{description} + \item [\Lkeyword{PstDebug}\footnotemark\ (integer, 0 or 1)\hfill :] to + require to see the exact tiling done, without clipping (\emph{Default:~0}). +\end{description} + + + It's mainly useful for debugging or to understand better how the tilings +are done. It is implemented only for the \emph{tiling} mode. + + +%\begin{LTXexample}[width=\linewidth] +\psset{unit=0.3cm,PstDebug=1} +\psboxfill{\Square} +\psset{linewidth=1mm} +\Tiling{(2,2)}\hfill \Tiling[fillcyclex=2]{(2,2)}\hfill\Tiling[fillmove=0.5]{(2,2)} +%\end{LTXexample} + +\begin{lstlisting} +\psset{unit=0.3cm,PstDebug=1} +\psboxfill{\Square} +\psset{linewidth=1mm} +\Tiling{(2,2)}\hfill \Tiling[fillcyclex=2]{(2,2)}\hfill\Tiling[fillmove=0.5]{(2,2)} +\end{lstlisting} + +\psset{unit=1cm,PstDebug=0,linewidth=0.8pt} + +\section{Examples} + + In fact this unique \Lcs{psboxfill} macro allow a lot a variations and +different usages. We will try here to demonstrate this. + +\subsection{Kind of tiles} +\label{sec:KindTiles} + + Of course, we can access to all the power of PSTricks macros to define the +\emph{tiles} (\emph{patterns}) used. So, we can define complicated ones. + + Here we give four other Archimedian tilings (those built with only some +regular polygons) among the twelve existing, first discovered completely by +Johanes \textsc{Kepler} at the beginning of 17th century \cite{GS87}, the two +other \emph{regular} ones with the tiling by squares, formed by a unique +regular polygon, and two other formed by two different regular polygons. + +\begin{LTXexample}[pos=t] + \newcommand{\Triangle}{% + \begin{pspicture}(1,1) + \pstriangle[dimen=middle](0.5,0)(1,1) + \end{pspicture}} + \newcommand\Hexagon{ + \begin{pspicture}(0.866,0.75)% sin(60)=0.866 + \pspolygon[dimen=middle]% % Hexagon + (0.5;30)(0.5;90)(0.5;150)(0.5;210)(0.5;270)(0.5;330) + \end{pspicture}} + \psset{unit=0.5cm} + \psboxfill{\Triangle} + \Tiling{(4,4)}\qquad + \Tiling[fillcyclex=2]{(4,4)}\qquad + \psboxfill{\Hexagon} + \Tiling[fillcyclex=2,fillloopaddy=1]{(5,5)} +\end{LTXexample} + +\begin{LTXexample}[pos=t] + \newcommand{\ArchimedianA}{%Archimedian tiling 3^2.4.3.4 + \psset{dimen=middle} + % sin(60)=0.866 + \begin{pspicture}(1.866,1.866) + \psframe(1,1) + \psline(1,0)(1.866,0.5)(1,1)(0.5,1.866)(0,1)(-0.866,0.5) + \psline(0,0)(0.5,-0.866) + \end{pspicture}} + \newcommand{\ArchimedianB}{% Archimedian tiling 4.8^2 + \psset{dimen=middle,unit=1.5cm} + % sin(22.5)=0.3827 ; cos(22.5)=0.9239 + \begin{pspicture}(1.3066,0.6533) + \SpecialCoor + % Octogon + \pspolygon(0.5;22.5)(0.5;67.5)(0.5;112.5)(0.5;157.5) + (0.5;202.5)(0.5;247.5)(0.5;292.5)(0.5;337.5) + \end{pspicture}} + + \psset{unit=0.5cm} + \psboxfill{\ArchimedianA} + \Tiling[fillmove=0.5]{(7,7)}\hfill + \psboxfill{\ArchimedianB} + \Tiling[fillcyclex=2,fillloopaddy=1]{(7,7)} +\end{LTXexample} + + We can of course tile an area arbitrarily defined. And with the +\Lkeyword{addfillstyle} parameter\footnote{Introduced in PSTricks 97.}, we can +easily mix the \Lkeyword{boxfill} style with another one. + +\begin{LTXexample}[width=6cm] + \psset{unit=0.5cm,dimen=middle} + \psboxfill{% + \begin{pspicture}(1,1) + \psframe(1,1) + \pscircle(0.5,0.5){0.25} + \end{pspicture}} + \begin{pspicture}(4,6) + \pspolygon[fillstyle=boxfill,fillsep=0.25](0,1)(1,4)(4,6)(4,0)(2,1) + \end{pspicture}\hspace{1em} + \begin{pspicture}(4,4) +% \pscircle[linestyle=none,fillstyle=solid,fillcolor=yellow,fillsep=0.5, +% addfillstyle=boxfill](2,2){2} + \end{pspicture} +\end{LTXexample} +% + Various effects can be obtained, sometimes complicated ones very easily, as +in this example reproduced from one shown by Slavik \textsc{Jablan} in the +field of \emph{OpTiles}, inspired by the \emph{Op-art}: + +\begin{LTXexample}[pos=t] +\newcommand\ProtoTile{% + \begin{pspicture}(1,1)%%1/12=0.08333 + \psset{linestyle=none,linewidth=0, + hatchwidth=0.08333\psunit,hatchsep=0.08333\psunit} + \psframe[fillstyle=solid,fillcolor=black,addfillstyle=hlines,hatchcolor=white](1,1) + \pswedge[fillstyle=solid,fillcolor=white,addfillstyle=hlines]{1}{0}{90} + \end{pspicture}} +\newcommand\BasicTile{% + \begin{pspicture}(2,1) + \rput[lb](0,0){\ProtoTile}\rput[lb](1,0){\psrotateleft{\ProtoTile}} + \end{pspicture}} +\ProtoTile\hfill\BasicTile\hfill +\psboxfill{\BasicTile} +\Tiling[fillcyclex=2]{(4,4)} +\end{LTXexample} + + It is also directly possible to surimpose several different tilings. Here is +the splendid visual proof of the \textsc{Pytha\-gore} theorem done by the arab +mathematician \textsc{Annairizi} around the year 900, given by superposition +of two tilings by squares of different sizes. + +\begin{LTXexample}[pos=t] +\psset{unit=1.5,dimen=middle} +\begin{pspicture*}(3,3) + \psboxfill{\begin{pspicture}(1,1) + \psframe(1,1)\end{pspicture}} + \psframe[fillstyle=boxfill](3,3) + \psboxfill{\begin{pspicture}(1,1) + \rput{-37}{\psframe[linecolor=red](0.8,0.8)} + \end{pspicture}} + \psframe[fillstyle=boxfill](3,4) + \pspolygon[fillstyle=hlines,hatchangle=90](1,2)(1.64,1.53)(2,2) +\end{pspicture*} +\end{LTXexample} + + In a same way, it is possible to build tilings based on figurative patterns, +in the style of the famous \textsc{Escher} ones. Following an example of +Andr\'e \textsc{Deledicq} \cite{Deledicq97}, we first show a simple tiling of +the \emph{p1} category (according to the international classification of the +17~symmetry groups of the plane first discovered by the russian +crystalographer Jevgraf \textsc{Fedorov} at the end of the 19th century): + +\begin{LTXexample}[pos=t] + \newcommand\SheepHead[1]{% + \begin{pspicture}(3,1.5) + \pscustom[liftpen=2,fillstyle=solid,fillcolor=#1]{% + \pscurve(0.5,-0.2)(0.6,0.5)(0.2,1.3)(0,1.5)(0,1.5) + (0.4,1.3)(0.8,1.5)(2.2,1.9)(3,1.5)(3,1.5)(3.2,1.3) + (3.6,0.5)(3.4,-0.3)(3,0)(2.2,0.4)(0.5,-0.2)} + \pscircle*(2.65,1.25){0.12\psunit} %Eye + \psccurve*(3.5,0.3)(3.35,0.45)(3.5,0.6)(3.6,0.4)% Muzzle + % Mouth + \pscurve(3,0.35)(3.3,0.1)(3.6,0.05) + % Ear + \pscurve(2.3,1.3)(2.1,1.5)(2.15,1.7)\pscurve(2.1,1.7)(2.35,1.6)(2.45,1.4) + \end{pspicture}} + \psboxfill{\psset{unit=0.5}\SheepHead{yellow}\SheepHead{cyan}} + \Tiling[fillcyclex=2,fillloopadd=1]{(10,5)} +\end{LTXexample} +\label{fig:Sheeps} + + Now a tiling of the \emph{pg} category (the code for the kangaroo itself is +too long to be shown here, but has no difficulties ; the kangaroo is reproduce +from an original picture from Raoul \textsc{Raba} and here is a translation in +PSTricks from the one drawn by Emmanuel \textsc{Chailloux} and Guy +\textsc{Cousineau} for their MLgraph system \cite{MLgraphTSI}): + +\begin{LTXexample}[pos=t] +\psboxfill{\psset{unit=0.4} + \Kangaroo{yellow}\Kangaroo{red}\Kangaroo{cyan}\Kangaroo{green}% + \psscalebox{-1 1}{% + \rput(1.235,4.8){\Kangaroo{green}\Kangaroo{cyan}\Kangaroo{red}\Kangaroo{yellow}}}} + \Tiling[fillloopadd=1]{(10,6)} +\end{LTXexample} + + And here a \textsc{Wang} tiling \cite{Wang65}, \cite[chapter +11]{GS87}, based on very simple tiles of the form of a square and composed +of four colored triangles. Such tilings are built with only a matching color +constraint. Despite of it simplicity, it is an important kind of tilings, as +\textsc{Wang} and others used them to study the special class of +\emph{aperiodic} tilings, and also because it was shown that surprisingly this +tiling is similar to a \textsc{Turing} machine. + +\begin{LTXexample}[pos=t] + \newcommand{\WangTile}[4]{% + \begin{pspicture}(1,1) + \pspolygon*[linecolor=#1](0,0)(0,1)(0.5,0.5) + \pspolygon*[linecolor=#2](0,1)(1,1)(0.5,0.5) + \pspolygon*[linecolor=#3](1,1)(1,0)(0.5,0.5) + \pspolygon*[linecolor=#4](1,0)(0,0)(0.5,0.5) + \end{pspicture}} + \newcommand{\WangTileA}{\WangTile{cyan}{yellow}{cyan}{cyan}} + \newcommand{\WangTileB}{\WangTile{yellow}{cyan}{cyan}{red}} + \newcommand{\WangTileC}{\WangTile{cyan}{red}{yellow}{yellow}} + \newcommand{\WangTiles}[1][]{% + \begin{pspicture}(3,3) \psset{ref=lb} + \rput(0,2){\WangTileB} \rput(1,2){\WangTileA}% + \rput(2,2){\WangTileC} \rput(0,1){\WangTileC}% + \rput(1,1){\WangTileB} \rput(2,1){\WangTileA} + \rput(0,0){\WangTileA} \rput(1,0){\WangTileC}% + \rput(2,0){\WangTileB} + #1 + \end{pspicture}} + \WangTileA\hfill\WangTileB\hfill\WangTileC\hfill + \WangTiles[{\psgrid[subgriddiv=0,gridlabels=0](3,3)}]\hfill + \psset{unit=0.4} \psboxfill{\WangTiles} \Tiling{(12,12)} +\end{LTXexample} + +\subsection{External graphic files} +\label{sec:GraphicFiles} + + We can also fill an arbitrary area with an external image. We have only, +as usual, to matter of the \emph{BoundingBox} definition if there is no one +provided or if it is not the accurate one, as for the well known +\texttt{tiger} picture part of the \texttt{ghostscript} distribution. + +\begin{LTXexample}[pos=t] + \psboxfill{%Strangely require x1=x2... + \begin{pspicture}(0,1)(0,4.1) + \includegraphics[bb=17 176 560 74,width=3cm]{images/tiger} + \end{pspicture}} + \Tiling{(6,6.2)} +\end{LTXexample} + + Nevertheless, there are some special files for which the \emph{automatic} +mode doesn't work, specially for some files obtained by a screen dump, as in +the next example, where a picture was reduced before it conversion in the +\emph{Encapsulated PostScript} format by a screen dump utility. In this case, +usage of the \emph{manual} mode is the only alternative, at the price of the +real multiple inclusion of the EPS file. We must take care to specify the +correct \texttt{fillsize} parameter, because otherwise the default values are +large and will load the file many times, perhaps just really using few +occurrences as the other ones would be clipped... + +\begin{LTXexample}[pos=t] + \psboxfill{\includegraphics{images/flowers}} + \begin{pspicture}(8,4) + \psellipse[fillstyle=boxfill,fillsize={(8,4)}](4,2)(4,2) + \end{pspicture} +\end{LTXexample} + +\subsection{Tiling of characters} + + We can also use the \cs{psboxfill} macro to fill the interior of characters +for special effects like these ones: + +\begin{LTXexample}[pos=t] + \DeclareFixedFont{\bigsf}{T1}{phv}{b}{n}{4.5cm} + \DeclareFixedFont{\smallrm}{T1}{ptm}{m}{n}{3mm} + \psboxfill{\smallrm Since 182 days...} + \begin{pspicture*}(8,4) + \centerline{% + \pscharpath[fillstyle=gradient,gradangle=-45, + gradmidpoint=0.5,addfillstyle=boxfill, + fillangle=45,fillsep=0.7mm] + {\rput[b](0,0.1){\bigsf 2000}}} + \end{pspicture*} +\end{LTXexample} + +\begin{LTXexample}[pos=t] + \DeclareFixedFont{\mediumrm}{T1}{ptm}{m}{n}{2cm} + \psboxfill{% + \psset{unit=0.1,linewidth=0.2pt} + \Kangaroo{PeachPuff}\Kangaroo{PaleGreen}% + \Kangaroo{LightBlue}\Kangaroo{LemonChiffon}% + \psscalebox{-1 1}{% + \rput(1.235,4.8){% + \Kangaroo{LemonChiffon}\Kangaroo{LightBlue}% + \Kangaroo{PaleGreen}\Kangaroo{PeachPuff}}}}% +% A kangaroo of kangaroos... + \begin{pspicture}(8,2) + \pscharpath[linestyle=none,fillstyle=boxfill,fillloopadd=1] + {\rput[b](4,0){\mediumrm Kangaroo}} + \end{pspicture} +\end{LTXexample} + +\subsection{Other kinds of usage} + + Other kinds of usage can be imagined. For instance, we can use tilings in a +sort of degenerated way to draw some special lines made by a unique or +multiple repeating patterns. But it can be only a special dashed line, as here +with three different dashes: + +\begin{LTXexample}[pos=t] + \newcommand{\Dashes}{% + \psset{dimen=middle} + \begin{pspicture}(0,-0.5\pslinewidth)(1,0.5\pslinewidth) + \rput(0,0){\psline(0.4,0)}% + \rput(0.5,0){\psline(0.2,0)}% + \rput(0.8,0){\psline(0.1,0)} + \end{pspicture}} + + \newcommand{\SpecialDashedLine}[3]{% + \psboxfill{#3} + \Tiling[linestyle=none] + {(#1,-0.5\pslinewidth)(#2,0.5\pslinewidth)}} + + \SpecialDashedLine{0}{7}{\Dashes} + + \psset{unit=0.5,linewidth=1mm,linecolor=red} + \SpecialDashedLine{0}{10}{\Dashes} +\end{LTXexample} + + It allows also to use special patterns in business graphics, as in the +following example generated by \texttt{PstChart}\footnote{A personal +development to draw business charts with PSTricks, not distributed.}. + + +\vspace{3mm} +\begin{figure}[!ht] +\centering +\psset{unit=0.75cm} +% Generated by pstchart.sh version 0.21 (11/28/97) +{\psset{dimen=middle} +\psset{xunit=2,yunit=5} +\begin{pspicture}(-0.6,-0.2)(6.6,2.3) +% Title + \rput(3,2.200){\shortstack{Fantaisist repartition of kangaroos\\ + in the world (in thousands)}} +% Frame background + \psframe*[linecolor=LemonChiffon!40](0,0)(6,2.000) +% Graduations + \multido{\r=0.0+0.500,\n=0+500}{5}{\rput[r](-0.12,\r){\psscalebox{0.8}{\n}}} +% Minor ticks + \multips(0,0.100)(0,0.100){19}{\psline[unit=4.8pt](1,0)} + \multips(6,0.100)(0,0.100){19}{\psline[unit=4.8pt](-1,0)} +% Major ticks + \multips(0,0.500)(0,0.500){3}{\psline[unit=9.6pt](1,0)} + \multips(6,0.500)(0,0.500){3}{\psline[unit=9.6pt](-1,0)} +% Lines from major ticks marks + \multips(0,0.500)(0,0.500){3}{\psline[linestyle=dotted,linewidth=0.6pt](6,0)} +% Drawing for the data + \psset{linestyle=none,fillcycley=1,fillcyclex=1,fillloopaddy=2} + \psboxfill{\psset{unit=0.78\psxunit}\KangarooPstChart{red}} + \rput(0.7,0){\psframe[fillstyle=boxfill](0,0)(0.75,1.8)} + \psboxfill{\psset{unit=0.78\psxunit}\KangarooPstChart{yellow}} + \rput(1.7,0){\psframe[fillstyle=boxfill](0,0)(0.75,0.8)} + \psboxfill{\psset{unit=0.78\psxunit}\KangarooPstChart{cyan}} + \rput(2.7,0){\psframe[fillstyle=boxfill](0,0)(0.75,0.55)} + \psboxfill{\psset{unit=0.78\psxunit}\KangarooPstChart{magenta}} + \rput(3.7,0){\psframe[fillstyle=boxfill](0,0)(0.75,0.5)} + \psboxfill{\psset{unit=0.78\psxunit}\KangarooPstChart{green}} + \rput(4.7,0){\psframe[fillstyle=boxfill](0,0)(0.75,0.2)} +% Bottom labels + \uput{0.2}[270]{0}(1,0){\psscalebox{0.7}{Oceania}} + \uput{0.2}[270]{0}(2,0){\psscalebox{0.7}{Africa}} + \uput{0.2}[270]{0}(3,0){\psscalebox{0.7}{Asia}} + \uput{0.2}[270]{0}(4,0){\psscalebox{0.7}{America}} + \uput{0.2}[270]{0}(5,0){\psscalebox{0.7}{Europe}} +% Frame box around the chart + \psframe[linestyle=solid](0,0)(6,2.000) +\end{pspicture}} + \caption{Bar chart generated by PstChart, with bars filled by patterns} + \label{fig:PstChart} +\end{figure} + + +\section{``Dynamic'' tilings} + + In some cases, tilings used non \emph{static} tiles, that is to say that the +\emph{prototile(s)}, even if unique, can have several forms, by instance +specified by different colors or rotations, not fixed before generation or +varying each time. + +\subsection{Lewthwaite-Pickover-Truchet tiling} + + + + + + We give here for example the so-called \emph{Truchet} tiling, which much be +in fact better called \emph{Lewthwaite-Pick\-over-Truchet (LPT)} tiling% +\footnote{For description of the context, history and references about +S\'ebastien \textsc{Truchet} and this tiling, see \cite{EsperetGirou98}.}. + + The unique prototile is only a square with two opposite circle arcs. +This tile has obviously two positions, if we rotate it from 90 degrees (see +the two tiles on the next figure). A \emph{LPT tiling} is a tiling with +randomly oriented LPT tiles. We can see that even if it is very simple in it +principle, it draw sophisticated curves with strange properties. + + Nevertheless, in the straightforward way \FillPackage{} does not work, +because the \Lcs{psboxfill} macro store the content of the tile used in a +\TeX{} box, which is static. So the calling to the random function is done +only one time, which explain that only one rotation of the tile is used for +all the tiling. It's only the one of the two rotations which could differ from +one drawing to the next one... + +% Truchet (Lewthwaite-Pickover-Truchet) tiling +% -------------------------------------------- + +\begin{LTXexample}[pos=t] +% LPT prototile + \newcommand\ProtoTileLPT{% + \psset{dimen=middle} + \begin{pspicture}(1,1) + \psframe(1,1) + \psarc(0,0){0.5}{0}{90} + \psarc(1,1){0.5}{-180}{-90} + \end{pspicture}} + +% LPT tile + \newcount\Boolean + \newcommand{\BasicTileLPT}{% +% From random.tex by Donald Arseneau + \setrannum{\Boolean}{0}{1}% + \ifnum\Boolean=0 + \ProtoTileLPT% + \else + \psrotateleft{\ProtoTileLPT}% + \fi} + + \ProtoTileLPT\hfill\psrotateleft{\ProtoTileLPT}\hfill + \psset{unit=0.5} + \psboxfill{\BasicTileLPT} + \Tiling{(5,5)} +\end{LTXexample} + + + But, for simple cases, there is a solution to this problem using a mixture +of PSTricks and PostScript programming. Here the PSTricks +construction \Lcs{pscustom}\verb+{+\Lcs{code}\verb+{...}}+ allow to insert PostScript code +inside the \LaTeX{} + PSTricks one. + + Programmation is less straightforward, but it has also the advantage to be +notably faster, as all the tilings operations are done in PostScript, and +mainly to not be limited by \TeX{} memory (the \TeX{} + PSTricks solution +I wrote in 1995 for the colored problem was limited to small sizes for this +reason). Just note also that \Lcs{pslbrace} and \Lcs{psrbrace} are two +PSTricks macros to define and be able to insert the \verb+{+ and \verb+}+ +characters. + + + + +\begin{LTXexample}[pos=t] +% LPT prototile +\newcommand\ProtoTileLPT{% + \psset{dimen=middle} + \psframe(1,1) + \psarc[linecolor=blue](0,0){0.5}{0}{90} + \psarc[linecolor=red](1,1){0.5}{-180}{-90}} + +\newcount\InitCounter + +\ifPSTlualatex + \newcommand\BasicTileLPT{% + \InitCounter=\the\time + \begin{pspicture}(1,1) + \pstverb{ + rand \the\InitCounter\space add 2 mod 0 eq + {\luaPSTbox\hbox{\ProtoTileLPT}}% + { 1 0 \csname tx@ScreenCoor\endcsname translate + \luaPSTbox\hbox{\psrotateleft{\ProtoTileLPT}}} ifelse /.TeXBox findresource exec + }% + \end{pspicture}} +\else + \newcommand\BasicTileLPT{% + \InitCounter=\the\time + \pscustom{\code{% + rand \the\InitCounter\space add 2 mod 0 eq \pslbrace}} + \begin{pspicture}(1,1) + \ProtoTileLPT + \end{pspicture}% + \pscustom{\code{\psrbrace \pslbrace}} + \psrotateleft{\ProtoTileLPT}% + \pscustom{\code{\psrbrace ifelse}}} +\fi +\psset{fillcycley=1,fillcyclex=1,fillloopaddy=2,unit=0.4,linewidth=0.8pt} +\psboxfill{\BasicTileLPT} +\Tiling{(10,10)} +\end{LTXexample} + + + + + Using the very surprising fact (see \cite{EsperetGirou98}) that +coloration of these tiles do not depend of their neighbors (even if it is +difficult to believe as the opposite seems obvious!) but only of the parity of +the value of row and column positions, we can directly program in the same way +a colored version of the LPT tiling. + + We have also introduce in the \FillPackage{} code for \emph{tiling} mode two +new accessible Post\-Script variables, \texttt{row} and +\texttt{column}\footnotemark, which can be useful in some circonstances, like +this one. + + + + + +\newcommand\ProtoTileLPT[2]{% + \psset{dimen=middle,linestyle=none,fillstyle=solid} + \psframe[fillcolor=#1](1,1) + \psset{fillcolor=#2} + \pswedge(0,0){0.5}{0}{90} + \pswedge(1,1){0.5}{-180}{-90}} + +\newcount\InitCounter + +\ifPSTlualatex + \newcommand\BasicTileLPT[2]{% + \InitCounter=\the\time + \begin{pspicture}(1,1)% + \pstverb{ + rand \the\InitCounter\space sub 2 mod 0 eq { + \txfillDict row column end add 2 mod 0 eq {\luaPSTbox\hbox{% + \ProtoTileLPT{#1}{#2}% + }} {\luaPSTbox\hbox{% + \ProtoTileLPT{#2}{#1}% + }} ifelse /.TeXBox findresource exec + } { + 1 0 \csname tx@ScreenCoor\endcsname translate + \txfillDict row column end add 2 mod 0 eq {\luaPSTbox\hbox{% + \psrotateleft{\ProtoTileLPT{#2}{#1}}% + }} {\luaPSTbox\hbox{% + \psrotateleft{\ProtoTileLPT{#1}{#2}}% + }} ifelse /.TeXBox findresource exec + } ifelse + }% + \end{pspicture}} +\else + \newcommand\BasicTileLPT[2]{% + \InitCounter=\the\time + \pscustom{\code{% + rand \the\InitCounter\space sub 2 mod 0 eq \pslbrace + row column add 2 mod 0 eq \pslbrace}} + \begin{pspicture}(1,1)\ProtoTileLPT{#1}{#2}\end{pspicture}% + \pscustom{\code{\psrbrace \pslbrace}} + \ProtoTileLPT{#2}{#1}% + \pscustom{\code{% + \psrbrace ifelse \psrbrace \pslbrace row column add 2 mod 0 eq \pslbrace}} + \psrotateleft{\ProtoTileLPT{#2}{#1}}\pscustom{\code{\psrbrace \pslbrace}} + \psrotateleft{\ProtoTileLPT{#1}{#2}}\pscustom{\code{\psrbrace ifelse \psrbrace ifelse}}} +\fi + +\psboxfill{\BasicTileLPT{red}{yellow}} +\Tiling{(4,4)}\hfill +\psset{unit=0.4}\psboxfill{\BasicTileLPT{blue}{cyan}} +\Tiling{(15,15)} + + +\psset{unit=1cm} +\begin{lstlisting} +\newcommand\ProtoTileLPT[2]{% + \psset{dimen=middle,linestyle=none,fillstyle=solid} + \psframe[fillcolor=#1](1,1) + \psset{fillcolor=#2} + \pswedge(0,0){0.5}{0}{90} + \pswedge(1,1){0.5}{-180}{-90}} + +\newcount\InitCounter + + \newcommand\BasicTileLPT[2]{% + \InitCounter=\the\time + \begin{pspicture}(1,1)% + \pstverb{ + rand \the\InitCounter\space sub 2 mod 0 eq { + \txfillDict row column end add 2 mod 0 eq {\luaPSTbox\hbox{% + \ProtoTileLPT{#1}{#2}% + }} {\luaPSTbox\hbox{% + \ProtoTileLPT{#2}{#1}% + }} ifelse /.TeXBox findresource exec + } { + 1 0 \csname tx@ScreenCoor\endcsname translate + \txfillDict row column end add 2 mod 0 eq {\luaPSTbox\hbox{% + \psrotateleft{\ProtoTileLPT{#2}{#1}}% + }} {\luaPSTbox\hbox{% + \psrotateleft{\ProtoTileLPT{#1}{#2}}% + }} ifelse /.TeXBox findresource exec + } ifelse + }% + \end{pspicture}} + + \psboxfill{\BasicTileLPT{red}{yellow}} + \Tiling{(4,4)}\hfill + \psset{unit=0.4}\psboxfill{\BasicTileLPT{blue}{cyan}} + \Tiling{(15,15)} +\end{lstlisting} + + + Another classic example is to generate coordinates and numerotation for a +grid. Of course, it is possible to do it directly in PSTricks using nested +\Lcs{multido} commands. It would be clearly easy to program, but, nevertheless, +for users who have a little knowledge of PostScript programming, this offer +an alternative which is useful for large cases, because on this way it will +be notably faster and less computer ressources consuming. + + Remember here that the tiling is drawn from left to right, and top to +bottom, and note that the PostScript variable \texttt{x2} give the total +number of columns. + + + +\begin{externalDocument}[ +% grfOptions={width=0.48\linewidth}, +% pages={1,3}, +% frame, + compiler=lualatex, +% showFilename, + crop, + cropmargin=5, + eps, + force, + %runs=2, + code, + docType=latex, + %frame, + %lstOptions={columns=fixed} + ]{pst-fill-doc} +\RequirePackage{pdfmanagement-testphase} +\DeclareDocumentMetadata{uncompress} +\documentclass{article} +\pagestyle{empty} +\usepackage[tiling]{pst-fill} +%StartVisiblePreamble +\newcommand\Square{\begin{pspicture}(1,1)\psframe[dimen=middle](1,1)\end{pspicture}} +\newcommand\Tiling[2][]{% + \begin{pspicture}#2 \psframe[fillstyle=boxfill,#1]#2\end{pspicture}} +\newcommand\ProtoTile{% + \Square + \pscustom{% + \moveto(-0.9,0.75) % In PSTricks units + \code{\ifPSTlualatex\txfillDict\fi + /Times-Italic findfont 8 scalefont setfont + (\string\() show row 3 string cvs show (,) show + column 3 string cvs show (\string\)) show \ifPSTlualatex end \fi} + \moveto(-0.5,0.25) % In PSTricks units + \code{\ifPSTlualatex\txfillDict\fi + /Times-Bold findfont 18 scalefont setfont + 1 0 0 setrgbcolor % Red color + /center { dup stringwidth pop 2 div neg 0 rmoveto } def + row 1 sub x2 mul column add 3 string cvs + center show \ifPSTlualatex end \fi }}} +%StopVisiblePreamble +\begin{document} +\psset{fillcycley=0,fillcyclex=0,fillloopaddy=0} +\psboxfill{\ProtoTile} +\Tiling{(6,4)} +\end{document} +\end{externalDocument} + + + +\subsection{A complete example: the Poisson equation} + + To finish, we will show a complete real example, a drawing to explain the +method used to solve the \textsc{Poisson} equation by a domain +decomposition method, adapted to distributed memory computers. The +objective is to show the communications required between processes and the +position of the data to exchange. This code also show some useful and powerful +technics for PSTricks programming (look specially at the way some higher level +macros are defined, and how the same object is used to draw the four +neighbors). + +\psset{unit=1cm} +\newcommand{\Pattern}[1]{% + \begin{pspicture}(-0.25,-0.25)(0.25,0.25)\rput{*0}{\psdot[dotstyle=#1]} + \end{pspicture}} +\newcommand{\West}{\Pattern{o}} \newcommand{\South}{\Pattern{x}} +\newcommand{\Central}{\Pattern{+}}\newcommand{\North}{\Pattern{square}} +\newcommand{\East}{\Pattern{triangle}} +\newcommand{\Cross}{% + \pspolygon[unit=0.5,linewidth=0.2,linecolor=red](0,0)(0,1)(1,1)(1,2)(2,2)(2,1)% + (3,1)(3,0)(2,0)(2,-1)(1,-1)(1,0)} +\newcommand{\StylePosition}[1]{\LARGE\textcolor{red}{\textbf{#1}}} +\newcommand{\SubDomain}[4]{% + \psboxfill{#4}\begin{psclip}{\psframe[linestyle=none]#1}% + \psframe[linestyle=#3](5,5)\psframe[fillstyle=boxfill]#2% + \end{psclip}} +\newcommand{\SendArea}[1]{\psframe[fillstyle=solid,fillcolor=cyan]#1} +\newcommand{\ReceiveData}[2]{% + \psboxfill{#2}\psframe[fillstyle=solid,fillcolor=yellow,addfillstyle=boxfill]#1}% +\newcommand{\Neighbor}[2]{% + \begin{pspicture}(5,5) + \rput{*0}(2.5,2.5){\StylePosition{#1}} + \ReceiveData{(0.5,0)(4.5,0.5)}{\Central}\SendArea{(0.5,0.5)(4.5,1)}% + \SubDomain{(5,2)}{(0.5,0.5)(4.5,3)}{dashed}{#2}% + \pcarc[arcangle=45,arrows=->](0.5,-1.25)(0.5,0.25)% + \pcarc[arcangle=45,arrows=->,linestyle=dotted,dotsep=2pt](4.5,0.75)(4.5,-0.75)% + \end{pspicture}}% + \psset{dimen=middle,dotscale=2,fillloopadd=2} +\begin{pspicture}(-5.7,-5.7)(5.7,5.7) + \rput(0,0){% + \begin{pspicture}(5,5) + \ReceiveData{(0,0.5)(0.5,4.5)}{\West} \ReceiveData{(4.5,0.5)(5,4.5)}{\East} + \ReceiveData{(0.5,4.5)(4.5,5)}{\North}\ReceiveData{(0.5,0)(4.5,0.5)}{\South} + \SendArea{(0.5,0.5)(1,4.5)}\SendArea{(4,0.5)(4.5,4.5)} + \SendArea{(0.5,0.5)(4.5,1)}\SendArea{(0.5,4)(4.5,4.5)} + \SubDomain{(5,5)}{(0.5,0.5)(4.5,4.5)}{solid}{\Central} + \psline(1,0.5)(1,4.5)\psline(4,0.5)(4,4.5)% + \rput(1.5,4){\Cross}\rput(2,2){\Cross}% + \end{pspicture}}% + \rput(0,5.5){\Neighbor{N}{\North}}\rput{-90}(5.5,0){\Neighbor{E}{\East}}% + \rput{90}(-5.5,0){\Neighbor{W}{\West}}\rput{180}(0,-5.5){\Neighbor{S}{\South}}% +\end{pspicture} + +\begin{lstlisting} + \newcommand{\Pattern}[1]{% + \begin{pspicture}(-0.25,-0.25)(0.25,0.25)\rput{*0}{\psdot[dotstyle=#1]} + \end{pspicture}} + \newcommand{\West}{\Pattern{o}} \newcommand{\South}{\Pattern{x}} + \newcommand{\Central}{\Pattern{+}}\newcommand{\North}{\Pattern{square}} + \newcommand{\East}{\Pattern{triangle}} + \newcommand{\Cross}{% + \pspolygon[unit=0.5,linewidth=0.2,linecolor=red](0,0)(0,1)(1,1)(1,2)(2,2)(2,1) + (3,1)(3,0)(2,0)(2,-1)(1,-1)(1,0)} + \newcommand{\StylePosition}[1]{\LARGE\textcolor{red}{\textbf{#1}}} + \newcommand{\SubDomain}[4]{% + \psboxfill{#4} + \begin{psclip}{\psframe[linestyle=none]#1} + \psframe[linestyle=#3](5,5)\psframe[fillstyle=boxfill]#2 + \end{psclip}} + \newcommand{\SendArea}[1]{\psframe[fillstyle=solid,fillcolor=cyan]#1} + \newcommand{\ReceiveData}[2]{% + \psboxfill{#2} + \psframe[fillstyle=solid,fillcolor=yellow,addfillstyle=boxfill]#1} + \newcommand{\Neighbor}[2]{% + \begin{pspicture}(5,5) + \rput{*0}(2.5,2.5){\StylePosition{#1}} + \ReceiveData{(0.5,0)(4.5,0.5)}{\Central}\SendArea{(0.5,0.5)(4.5,1)} + \SubDomain{(5,2)}{(0.5,0.5)(4.5,3)}{dashed}{#2}% +% Receive and send arrows + \pcarc[arcangle=45,arrows=->](0.5,-1.25)(0.5,0.25) + \pcarc[arcangle=45,arrows=->,linestyle=dotted,dotsep=2pt](4.5,0.75)(4.5,-0.75) + \end{pspicture}} + \psset{dimen=middle,dotscale=2,fillloopadd=2} + \begin{pspicture}(-5.7,-5.7)(5.7,5.7) +% Central domain + \rput(0,0){% + \begin{pspicture}(5,5) +% Receive from West, East, North and South + \ReceiveData{(0,0.5)(0.5,4.5)}{\West} \ReceiveData{(4.5,0.5)(5,4.5)}{\East} + \ReceiveData{(0.5,4.5)(4.5,5)}{\North}\ReceiveData{(0.5,0)(4.5,0.5)}{\South} +% send area for West, East, North and South + \SendArea{(0.5,0.5)(1,4.5)} \SendArea{(4,0.5)(4.5,4.5)} + \SendArea{(0.5,0.5)(4.5,1)} \SendArea{(0.5,4)(4.5,4.5)} +% Central domain + \SubDomain{(5,5)}{(0.5,0.5)(4.5,4.5)}{solid}{\Central} +% Redraw overlapped linesY + \psline(1,0.5)(1,4.5) \psline(4,0.5)(4,4.5) +% Two crossesY + \rput(1.5,4){\Cross} \rput(2,2){\Cross} + \end{pspicture}} +% The four neighborsY + \rput(0,5.5){\Neighbor{N}{\North}} \rput{-90}(5.5,0){\Neighbor{E}{\East}} + \rput{90}(-5.5,0){\Neighbor{W}{\West}} \rput{180}(0,-5.5){\Neighbor{S}{\South}} + \end{pspicture} +\end{lstlisting} +% + +\section{Debugging} + +For debugging (to debug, set PstDebug=1) +we now use the one from pstricks to prevent a clash with package +pstricks 2004-06-22 +% \define@key[psset]{pst-fill}{PstDebug}{\pst@getint{#1}\psk@PstDebug} + \psset{PstDebug=0} + +\printbibliography +\printindex + + +\end{document} + diff --git a/Master/texmf-dist/doc/generic/pst-fill/pst-fill.pdf b/Master/texmf-dist/doc/generic/pst-fill/pst-fill.pdf Binary files differdeleted file mode 100644 index f09defc07ee..00000000000 --- a/Master/texmf-dist/doc/generic/pst-fill/pst-fill.pdf +++ /dev/null |