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authorKarl Berry <karl@freefriends.org>2009-05-19 18:34:32 +0000
committerKarl Berry <karl@freefriends.org>2009-05-19 18:34:32 +0000
commit77adc9bb9bc69b5b61af7c5681ead56321b565e2 (patch)
treee2e535ba57812bfa4e057d062fc1f8c26eb09c34 /Master/texmf-doc
parent9d5c35d89adcf319f6232931cdf2c966dcb5dbde (diff)
move xypic-tut-pt out of texmf-doc
git-svn-id: svn://tug.org/texlive/trunk@13246 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-doc')
-rw-r--r--Master/texmf-doc/doc/portuguese/xypic-tut-pt/README3
-rw-r--r--Master/texmf-doc/doc/portuguese/xypic-tut-pt/grafico.eps460
-rw-r--r--Master/texmf-doc/doc/portuguese/xypic-tut-pt/xypic-tutorial.pdf3011
-rw-r--r--Master/texmf-doc/doc/portuguese/xypic-tut-pt/xypictutorial.tex1954
4 files changed, 0 insertions, 5428 deletions
diff --git a/Master/texmf-doc/doc/portuguese/xypic-tut-pt/README b/Master/texmf-doc/doc/portuguese/xypic-tut-pt/README
deleted file mode 100644
index 6bb13df8cc1..00000000000
--- a/Master/texmf-doc/doc/portuguese/xypic-tut-pt/README
+++ /dev/null
@@ -1,3 +0,0 @@
-A tutorial of the Xy-pic graphics package for LaTeX (in
-portuguese). Xy-pic provides a powerful graphics language
-for technical diagrams. \ No newline at end of file
diff --git a/Master/texmf-doc/doc/portuguese/xypic-tut-pt/grafico.eps b/Master/texmf-doc/doc/portuguese/xypic-tut-pt/grafico.eps
deleted file mode 100644
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diff --git a/Master/texmf-doc/doc/portuguese/xypic-tut-pt/xypic-tutorial.pdf b/Master/texmf-doc/doc/portuguese/xypic-tut-pt/xypic-tutorial.pdf
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diff --git a/Master/texmf-doc/doc/portuguese/xypic-tut-pt/xypictutorial.tex b/Master/texmf-doc/doc/portuguese/xypic-tut-pt/xypictutorial.tex
deleted file mode 100644
index e48c9271b2f..00000000000
--- a/Master/texmf-doc/doc/portuguese/xypic-tut-pt/xypictutorial.tex
+++ /dev/null
@@ -1,1954 +0,0 @@
-\documentclass[12pt]{article}
-
-\usepackage[english,brazil]{babel}
-\usepackage[latin1]{inputenc}
-
-\usepackage{indentfirst}
-\usepackage{graphicx}
-\usepackage{url}
-
-\usepackage[all,knot,arc,import,poly]{xy}
-
-\title{Tutorial de \Xy-pic}
-\author{Carlos A. P. Campani \\ {\tt campani@ufpel.edu.br}}
-
-\begin{document}
-
-\maketitle
-
-\section{Introduo}
-
-\Xy-pic{} um pacote para tipografar grficos e diagramas em
-\TeX. O pacote \Xy-pic pode ser usado com \TeX{} e \LaTeX{} e permite
-desenhar diversos tipos diferentes de grficos e diagramas, incluindo
-polgonos, ns e diagramas em matriz. Ele implementado em torno de um
-\emph{kernel de linguagem grfica}, que fornece uma notao
-mnemnica e consistente, baseada na composio lgica de
-componentes visuais.
-
-Este tutorial tem o objetivo de ser uma introduo breve e
-a\-ces\-s\-vel ao uso do \Xy-pic{}. Estamos longe de pretender apresentar todos os recursos
-disponveis. Ele complementa o \emph{\Xy-pic{} Reference
-Manual}, de \mbox{Kristoffer} H. Rose e Ross Moore \cite{bib:manual}, e o \emph{\Xy-pic{} User's
-Guide}, de Kristoffer H. Rose \cite{bib:guia}, que podem ser obtidos em
-\url{http://www.tug.org/applications/Xy-pic/}. Ainda h o timo livro \emph{The \LaTeX{} Graphics Companion}, de
-Goossens, Rahtz, e Mittelbach \cite{bib:goossens}. Recomendamos a leitura de todos estes textos
-para aqueles que desejam usar intensamente o \Xy-pic.
-
-Para carregar o pacote \Xy-pic{} no \TeX{} usam-se os comandos
-\verb+\input xy+ e \verb+\xyoption{all}+, que carrega todos os
-recursos, o que pode tornar a execuo do \TeX{} lenta. Para aumentar
-o desempenho do \TeX{} recomenda-se carregar apenas os recursos que
-sero usados. Da mesma forma que no \TeX{}, para carregar o \Xy-pic{} no
-\LaTeX{} usa-se o comando \verb+\usepackage[all]{xy}+ no cabealho do arquivo.
-
-Caso se queira produzir grficos de ns e arcos, deve-se incluir
-adicionalmente as opes
-\verb+knot+ e \verb+arc+. Tambm precisamos declarar as opes
-\verb+import+ e \verb+poly+ se quisermos importar imagens
-\emph{postscript} e desenhar polgonos nos diagramas. Para isto basta
-usar, no cabealho do arquivo \LaTeX{}, o comando \verb+\usepackage[all,knot,arc,import,poly]{xy}+.
-
-Problemas podem ocorrer devido a flexibilidade do formato de entrada do
-\TeX. Isto causa algumas situaes complicadas de conflito. Um exemplo
- o uso do \Xy-pic{} junto com o pacote \emph{babel}, em portugus e outras lnguas que redefinem
-as aspas, como o caso tambm do alemo, o que povoca conflito quando
-se deseja salvar posies em um diagrama. Este problema pode ser
-resolvido ao usarmos \verb+$$ \shorthandoff{"} \xy ... \endxy $$+,
-protegendo os comandos \Xy-pic{} definidos dentro de \verb+\xy ... \endxy+.
-
-
-Outro problema o conflito do caracter \verb+&+ quando usado em um diagrama
-do \Xy-pic{} dentro de um ambiente \emph{tabular}. Neste caso,
-possvel resolver o problema protegendo os comandos \Xy-pic{} dentro
-de um par \verb+{+ e \verb+}+.
-
-\section{Conceitos Bsicos}
-
-A estrutura geral de uma \Xy-figura \verb+\xy ... \endxy+,
-que constri uma caixa (\emph{box}) com uma \Xy-figura (usurios \LaTeX{} podem
-substituir este comando por \verb+\begin{xy} ... \end{xy}+). Nesta
-estrutura podem ser declarados comandos da ``linguagem grfica'' do
-\Xy-pic.
-
-No h necessidade de colocar a \Xy-figura explicitamente em modo
-ma\-te\-m\-ti\-co, pois a declarao \verb+\xy ... \endxy+ j o faz. Caso
-haja necessidade de apresentar texto dentro da \Xy-figura, basta
-usar o comando \verb+\txt{ ... }+.
-
-Os elementos que formam a linguagem do \Xy-pic{} so:
-\begin{description}
-\item [Posies] Representam coordenadas de pontos dentro da \emph{caixa} da
- \Xy-figura;
-\item [Objetos] Um objeto como uma caixa (\emph{box}) do \TeX{} que pode ser
- posto em uma posio, exceto que ele possui uma \emph{borda} (\emph{edge});
-\item [Conexes] Junto com a capacidade de colocar objetos em
- posies, todos os objetos podem ser usados para conectar duas
- posies;
-\item [Decoraes] Sempre que o \Xy-pic{} encontra algo que no pode
- ser interpretado como uma posio, ele interpreta o que se segue
- como uma \emph{de\-co\-ra\-o}, ou seja, um conjunto restrito de
- comandos a ser adicionado figura.
-\end{description}
-
-Posies podem ser representadas por pares \verb+(x,y)+, cujos valores
-$x$ crescem da esquerda para a direita, e os valores $y$ de baixo para
-cima. Assim, a origem do sistema de coordenadas o ponto $(0,0)$
-(tambm representado como \verb+0+),
-e a \Xy-figura est contida no seguinte retngulo:
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{}="A"; (40,0)*{}="B"; (0,30)*{}="C"; (40,30)*{}="D";
-"A";"B" **\dir{-};
-"A";"C" **\dir{-};
-"B";"D" **\dir{-};
-"C";"D" **\dir{-};
-{\ar@{<->} (0,10)*{};(40,10)*{}};
-{\ar@{<->} (15,0)*{};(15,30)*{}};
-(15,10)*{\bullet};
-(15,10)*{};(25,14)*{0} **\dir{.};
-(22,25)*{Y_{\mathrm{max}}};
-(22,5)*{Y_{\mathrm{min}}};
-(7,7)*{X_{\mathrm{min}}};
-(32,7)*{X_{\mathrm{max}}};
-(-40,5)*{\txt{ponto de referncia \TeX}};
-(-17,6)*{};(0,10)*{} **\dir{.};
-\endxy
-$$
-
-A forma mais simples de colocar coisas em uma \Xy-figura ``largar''
-um objeto em uma posio. Para definir posies e ``largar'' objetos
-usa-se o operador \verb+*+. Por exemplo,
-\begin{verbatim}
-(0,0)*{A}
-\end{verbatim}
-coloca o rtulo \verb+A+ na posio $(0,0)$.
-
-Alm de poder ``largar'' objetos em uma posio da \Xy-figura, podemos
-\emph{conectar} os dois objetos correntes do \emph{estado}, formado
-pelas posies $p$
-(posio prvia) e
-$c$ (posio corrente). Para definir conexes usa-se o operador \verb+**+. Assim,
-\begin{verbatim}
-\xy
-(0,0)*{};(10,0)*{} **\dir{-}
-\endxy
-\end{verbatim}
-define a posio prvia $p=(0,0)$ e a posio corrente $c=(10,0)$ e
-conecta ambas com um \emph{direcional} definido por
-\verb+**\dir{-}+. Qualquer objeto pode ser usado como conector e,
-neste caso, foi usado o \verb+-+, indicando que as duas posies devem
-ser conectadas por uma linha simples. Observe que \verb+(0,0)*{}+ e \verb+(10,0)*{}+
-define as posies prvia e corrente, sem ``largar'' nenhum objeto
-nelas.
-
-O operador \verb+;+ indica que deve-se atualizar as posies
-prvia e corrente, trocando a corrente anterior pela prvia e fazendo
-da ltima posio inserida a nova corrente. Assim, em
-\begin{verbatim}
-\xy
-(0,0)*{};(10,0)*{} **\dir{-};
-(10,10)*{} **\dir{-}
-\endxy
-\end{verbatim}
-O primeiro \verb+;+ define as posies $p=(0,0)$ e $c=(10,0)$. O
-segundo \verb+;+ atribui a $p$ o valor
-anterior de $c$, $(10,0)$, e faz $c=(10,10)$. Ento so traadas duas
-linhas, uma entre $(0,0)$ e $(10,0)$ e outra entre $(10,0)$ e
-$(10,10)$.
-
-Objetos possuem uma \emph{borda} (\emph{edge}). Assim, um objeto pode
-ser entendido como uma \emph{caixa} (\emph{box}) \TeX{}, com
-uma \emph{forma} (\emph{shape}), e com \emph{dimenses} $L$, $U$, $R$
-e $D$. A forma do objeto fora a forma de sua borda. O kernel do
-\Xy-pic fornece trs formas (shapes), nomeadas \verb+[.]+, \verb+[]+ e
-\verb+[o]+, correspondendo a:
-$$
- \shorthandoff{"}
-\xy (0,0)*{}; (1,0)*{} **\dir{} *\dir{x} \endxy \qquad , \qquad
-\xy
-(0,-6)*{}="A"; (20,-6)*{}="B"; (0,9)*{}="C"; (20,9)*{}="D";
-"A";"B" **\dir{-};
-"A";"C" **\dir{-};
-"B";"D" **\dir{-};
-"C";"D" **\dir{-};
-{\ar@{.} (0,0)*{};(20,0)*{}};
-{\ar@{.} (7,-6)*{};(7,9)*{}};
-(3,0)*{L};
-(7,4)*{U};
-(13,0)*{R};
-(7,-3)*{D};
-(0,0)*{}; (7,0)*{} **\dir{} ?>* \dir{x}
-\endxy \qquad \mathrm{e} \qquad
-\xy
-{\ar@{.} (0,0)*{};(16,0)*{}};
-{\ar@{.} (8,-8)*{};(8,8)*{}};
-(3,0)*{L};
-(8,4)*{U};
-(13,0)*{R};
-(8,-3)*{D};
-(0,0)*{}; (8,0)*{} **\dir{} ?>* \dir{x};
-(8,0)*{} *\cir<25pt>{}
-\endxy
-$$
-
-A forma (shape) \emph{default} dos objetos \verb+[]+.
-
-O \Xy-pic fornece um conjunto de \emph{direcionais}, como no exemplo anterior
-o \verb+**\dir{-}+. Os direcionais so
-elementos grficos que podem
-ser tanto \emph{conectores} quanto \emph{pontas} (que terminam as
-extremidades de uma conexo).
-
-Os conceitos apresentados de forma breve nesta seo sero melhor
-desenvolvidos nas prximas sees. Particularmente a seo seguinte
-tratar dos recursos do kernel do \Xy-pic, e mostrar por meio de
-exemplos o uso de posies, objetos e conexes.
-
-\section{Usando o Kernel do \Xy-pic}
-
-Nesta seo mostraremos o uso do kernel do \Xy-pic{} por meio de
-exemplos comentados. Sero introduzidos os recursos bsicos
-disponveis no kernel, e nas sees seguintes sero explorados
-aspectos mais avanados.
-
-A coisa mais simples que podemos fazer com o \Xy-pic{} definir duas
-posies e conecta-las. Isto mostrado no exemplo seguinte, onde
-produzida uma linha simples conectando as posies $(0,0)$ e $(10,0)$:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xy
-(0,0)*{};(10,0)*{} **\dir{-}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{};(10,0)*{} **\dir{-}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Podemos tambm ``largar'' objetos nas posies. Isto feito neste
-outro exemplo, em que definimos dois objetos com rtulos $A$ e $B$, e
-traamos uma linha na diagonal ligando estes dois rtulos:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xy
-(0,0)*+{A};(10,10)*+{B} **\dir{-}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*+{A};(10,10)*+{B} **\dir{-}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-O operador \verb+*+ usado para definir posies e ``largar''
-objetos, e o operador \verb+**+ usado para definir conexes.
-
-Neste ltimo exemplo, observa-se o \emph{modificador} \verb=+= usado
-em \verb=(0,0)*+{A}= e \verb=(10,10)*+{B}=. Este modificador serve
-para obter espao adicional em torno do objeto, evitando que o
-conector fique muito prximo ao objeto, como seria o caso de:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xy
-(0,0)*{A};(10,10)*{B} **\dir{-}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{A};(10,10)*{B} **\dir{-}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Podemos usar qualquer objeto como conector, como vemos no exemplo a
-seguir:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xy
-(0,0)*+{A};(10,10)*+{B} **\dir{>}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*+{A};(10,10)*+{B} **\dir{>}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Podemos definir trs posies em seqncia e conecta-las. Como se
-explicou na seo anterior, o direcional \verb+**\dir{-}+ conecta as
-posies $p$ e $c$ do estado do \Xy-pic{}. O operador \verb+;+ usado
-para mudar o estado, trocando as posies $p$ e $c$ e atualizando a
-$c$. Mostramos isso no seguinte exemplo:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xy
-(0,0)*{};(10,0)*{} **\dir{-};
-(10,10)*{} **\dir{-}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{};(10,0)*{} **\dir{-};
-(10,10)*{} **\dir{-}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Neste exemplo, a sequncia de mudanas de estado e aes do \Xy-pic{},
-associada aos comandos que as executam, apresentada na Tabela~\ref{tab:seq}.
-\vspace{10pt}
-
-\begin{table}
-\begin{center}
-\begin{tabular}{c|c|c}\hline
- & Ao & Comando \\ \hline\hline
-1 & $c\leftarrow (0,0)$ & \verb+(0,0)*{}+ \\ \hline
-2 & $p\leftarrow c$ & \verb+;+ \\ \hline
-3 & $c\leftarrow (10,0)$ & \verb+(10,0)*{}+ \\ \hline
-4 & traa linha entre $(0,0)$ e $(10,0)$ & \verb+**\dir{-}+ \\ \hline
-5 & $p\leftarrow c$ & \verb+;+ \\ \hline
-6 & $c\leftarrow (10,10)$ & \verb+(10,10)*{}+ \\ \hline
-7 & traa linha entre $(10,0)$ e $(10,10)$ & \verb+**\dir{-}+ \\ \hline
-\end{tabular}
-\end{center}
-\caption{Exemplo de execuo do \Xy-pic{}}\label{tab:seq}
-\end{table}
-
-Textos podem ser postos em uma \Xy-figura usando o comando \verb+\txt+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xy
-(5,5)*{A};(15,15)*{B} **\dir{-};
-(0,0)*{\txt{texto qualquer}}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(5,5)*{A};(15,15)*{B} **\dir{-};
-(0,0)*{\txt{texto qualquer}}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Este novo exemplo mostra o uso de conexes com \emph{pontas}:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*+{A};(10,10)*+{B} **\dir{-} ?>* \dir{>}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*+{A};(10,10)*+{B} **\dir{-} ?>* \dir{>}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Direcionais podem ser do tipo \emph{conectores} ou \emph{pontas}. No exemplo dado,
-\verb+**\dir{-}+ um \emph{direcional conector}, e \verb+\dir{>}+
-um \emph{direcional ponta}.
-
-O \verb+?>*+ serve para indicar a posio
-da ponta no conector. O operador \verb+?+
-serve para ``pegar'' o lugar da conexo mais recente definida por um
-\verb+**+. O modificador \verb+>+ move posies, neste caso para o
-extremo final da conexo.
-
-Poderamos posicionar a ponta no outro extremo do conector usando \verb+?<*+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*+{A};(10,10)*+{B} **\dir{-} ?<* \dir{>}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*+{A};(10,10)*+{B} **\dir{-} ?<* \dir{>}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Para melhorar o exemplo anterior poderamos usar espao adicional em
-torno dos objetos:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*++{A};(10,10)*++{B} **\dir{-} ?<* \dir{>}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*++{A};(10,10)*++{B} **\dir{-} ?<* \dir{>}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Cada modificador \verb=+= dobra o valor do espao em torno de um
-objeto. Assim, ao usar, por exemplo, \verb=(0,0)*++{A}= estamos
-introduzindo um espao 4 vezes maior.
-
-Agora podemos inverter a ponta, como fazemos no exemplo seguinte:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*+{A};(10,10)*+{B} **\dir{-} ?<* \dir{<}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*+{A};(10,10)*+{B} **\dir{-} ?<* \dir{<}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-As Figuras~\ref{fig:conectores} e \ref{fig:pontas} apresentam os
-direcionais (conectores e pontas). Observe-se o recurso de fazer o
-conector duplo ou triplo por meio de \verb+\dir2+ e \verb+\dir3+, e
-as variaes de pontas usando-se \verb+\dir^+ ou \verb+\dir_+.
-
-\begin{figure}[!tp]
-\begin{center}
-\begin{tabular}{cccccc}
-\verb=\dir{-}= & \xy (0,0)*{};(10,10)*{}; **\dir{-}; \endxy &
-\verb=\dir2{-}= & \xy (0,0)*{};(10,10)*{}; **\dir2{-}; \endxy &
-\verb=\dir3{-}= & \xy (0,0)*{};(10,10)*{}; **\dir3{-}; \endxy \\
-\verb=\dir{.}= & \xy (0,0)*{};(10,10)*{}; **\dir{.}; \endxy &
-\verb=\dir2{.}= & \xy (0,0)*{};(10,10)*{}; **\dir2{.}; \endxy &
-\verb=\dir3{.}= & \xy (0,0)*{};(10,10)*{}; **\dir3{.}; \endxy \\
-\verb=\dir{~}= & \xy (0,0)*{};(10,10)*{}; **\dir{~}; \endxy &
-\verb=\dir2{~}= & \xy (0,0)*{};(10,10)*{}; **\dir2{~}; \endxy &
-\verb=\dir3{~}= & \xy (0,0)*{};(10,10)*{}; **\dir3{~}; \endxy \\
-\verb=\dir{--}= & \xy (0,0)*{};(10,10)*{}; **\dir{--}; \endxy &
-\verb=\dir2{--}= & \xy (0,0)*{};(10,10)*{}; **\dir2{--}; \endxy &
-\verb=\dir3{--}= & \xy (0,0)*{};(10,10)*{}; **\dir3{--}; \endxy \\
-\verb=\dir{~~}= & \xy (0,0)*{};(10,10)*{}; **\dir{~~}; \endxy &
-\verb=\dir2{~~}= & \xy (0,0)*{};(10,10)*{}; **\dir2{~~}; \endxy &
-\verb=\dir3{~~}= & \xy (0,0)*{};(10,10)*{}; **\dir3{~~}; \endxy
-\end{tabular}
-\end{center}
-\caption{Direcionais (conectores)}\label{fig:conectores}
-\end{figure}
-
-\begin{figure}[!tp]
-\begin{center}
-\begin{tabular}{cccccc}
-\verb=\dir{>}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{>} \endxy &
-\verb=\dir^{>}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{>} \endxy &
-\verb=\dir_{>}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{>} \endxy \\
-\verb=\dir{<}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{<} \endxy &
-\verb=\dir^{<}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{<} \endxy &
-\verb=\dir_{<}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{<} \endxy \\
-\verb=\dir{|}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{|} \endxy &
-\verb=\dir^{|}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{|} \endxy &
-\verb=\dir_{|}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{|} \endxy \\
-\verb=\dir{(}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{(} \endxy &
-\verb=\dir^{(}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{(} \endxy &
-\verb=\dir_{(}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{(} \endxy \\
-\verb=\dir{)}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{)} \endxy &
-\verb=\dir^{)}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{)} \endxy &
-\verb=\dir_{)}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{)} \endxy \\
- & &
-\verb=\dir^{`}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{`} \endxy &
-\verb=\dir_{`}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{`} \endxy \\
- & &
-\verb=\dir^{'}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{'} \endxy &
-\verb=\dir_{'}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{'} \endxy \\
-\verb=\dir{>>}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{>>} \endxy &
-\verb=\dir^{>>}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{>>} \endxy &
-\verb=\dir_{>>}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{>>} \endxy \\
-\verb=\dir{<<}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{<<} \endxy &
-\verb=\dir^{<<}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{<<} \endxy &
-\verb=\dir_{<<}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{<<} \endxy \\
-\verb=\dir{||}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{||} \endxy &
-\verb=\dir^{||}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{||} \endxy &
-\verb=\dir_{||}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{||} \endxy \\
-\verb=\dir{|-}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{|-} \endxy &
-\verb=\dir^{|-}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir^{|-} \endxy &
-\verb=\dir_{|-}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir_{|-} \endxy \\
-\verb=\dir{>|}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{>|} \endxy &
-\verb=\dir{>>|}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{>>|} \endxy &
-\verb=\dir{|<}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{|<} \endxy \\
-\verb=\dir{|<<}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{|<<} \endxy &
-\verb=\dir{*}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{*} \endxy &
-\verb=\dir{o}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{o} \endxy \\
-\verb=\dir{+}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{+} \endxy &
-\verb=\dir{x}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{x} \endxy &
-\verb=\dir{/}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{/} \endxy \\
-\verb=\dir{//}= & \xy (0,0)*{};(5,5)*{} **\dir{.} ?>* \dir{//} \endxy &
- & & &
-\end{tabular}
-\end{center}
-\caption{Direcionais (pontas)}\label{fig:pontas}
-\end{figure}
-
-Podemos produzir setas com o \Xy-pic. Para isto usamos o comando \verb+\ar+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xy
-{\ar (0,0)*+{A}; (10,10)*+{B}}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-{\ar (0,0)*+{A}; (10,10)*+{B}}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-A Figura~\ref{fig:setas} apresenta as setas que podem ser usadas em
-uma \Xy-figura. De\-ve\-mos observar que \verb+\ar@{=>}+ e \verb+\ar@{:>}+ so
-abreviaturas de \verb+\ar@2{->}+ e \verb+\ar@2{.>}+.
-
-\begin{figure}
-\begin{center}
-\begin{tabular}{cccccc}
-\verb+\ar@{-}+ & \xy {\ar@{-} (0,0)*{}; (10,10)*{}}\endxy &
-\verb+\ar@{->}+ & \xy {\ar@{->} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@{->>}+ & \xy {\ar@{->>} (0,0)*{}; (10,10)*{}}\endxy \\
-\verb+\ar@{<-}+ & \xy {\ar@{<-} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@{<->}+ & \xy {\ar@{<->} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@2{->}+ & \xy {\ar@2{->} (0,0)*{}; (10,10)*{}} \endxy \\
-\verb+\ar@{=>}+ & \xy {\ar@{=>} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@3{->}+ & \xy {\ar@3{->} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@{-<}+ & \xy {\ar@{-<} (0,0)*{}; (10,10)*{}} \endxy \\
-\verb+\ar@{-|}+ & \xy {\ar@{-|} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@{-)}+ & \xy {\ar@{-)} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@{-o}+ & \xy {\ar@{-o} (0,0)*{}; (10,10)*{}} \endxy \\
-\verb+\ar@^{->}+ & \xy {\ar@^{->} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@_{->}+ & \xy {\ar@_{->} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@{|->}+ & \xy {\ar@{|->} (0,0)*{}; (10,10)*{}} \endxy \\
-\verb+\ar@{.>}+ & \xy {\ar@{.>} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@2{.>}+ & \xy {\ar@2{.>} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@{:>}+ & \xy {\ar@{:>} (0,0)*{}; (10,10)*{}} \endxy \\
-\verb+\ar@3{.>}+ & \xy {\ar@3{.>} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@{~>}+ & \xy {\ar@{~>} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@2{~>}+ & \xy {\ar@2{~>} (0,0)*{}; (10,10)*{}} \endxy \\
-\verb+\ar@3{~>}+ & \xy {\ar@3{~>} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@{-->}+ & \xy {\ar@{-->} (0,0)*{}; (10,10)*{}} \endxy &
-\verb+\ar@{~~>}+ & \xy {\ar@{~~>} (0,0)*{}; (10,10)*{}} \endxy \\
-
-\end{tabular}
-\end{center}
-\caption{Setas}\label{fig:setas}
-\end{figure}
-
-Podemos curvar uma seta, como por exemplo em:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-{\ar@/^1pc/ (0,0)*+{A}; (10,10)*+{B}}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-{\ar@/^1pc/ (0,0)*+{A}; (10,10)*+{B}}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-O \verb+/^1pc/+ um \emph{vetor}, normalmente usado para denotar um
-deslocamento, e que neste caso usado para especificar a curvatura da seta. A
-curvatura especificada no exemplo de 1pc=12pt (pontos). Outras unidades de
-medida usadas pelo \TeX{} so \emph{ex} (correspondendo altura da letra
-``x''), \emph{mm}, \emph{cm} e \emph{in} (polegadas). O \verb+^+
-indica a direo da curvatura (para cima).
-
-Poderamos curvar a seta para baixo, como em:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-{\ar@/_1pc/ (0,0)*+{A}; (10,10)*+{B}}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-{\ar@/_1pc/ (0,0)*+{A}; (10,10)*+{B}}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-\Xy-pic{} fornece a facilidade de rtulos para indicar
-posies. Assim, com \verb+(0,0)*{}="A"+ podemos criar o rtulo \verb+A+ para indicar a
-posio $(0,0)$. No seguinte exemplo definimos trs rtulos para
-indicar posies dos vrtices do tringulo que ser traado:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*{}="A"; (10,0)*{}="B"; (10,10)*{}="C";
-"A";"B" **\dir{-};
-"A";"C" **\dir{-};
-"B";"C" **\dir{-};
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{}="A"; (10,0)*{}="B"; (10,10)*{}="C";
-"A";"B" **\dir{-};
-"A";"C" **\dir{-};
-"B";"C" **\dir{-};
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-A operao \verb+!{pos1,pos2}+ permite encontrar o ponto em que a ltima conexo
-intercepta uma linha definida pelas posies \verb+pos1+ e \verb+pos2+. Por exem\-plo:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,5)*{1}="1"; (17,15)*{2}="2" **\dir{.};
-(6,0)*{A}="A"; (13,18)*{B}="B" **\dir{-}
-?!{"1";"2"} *{\bullet}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,5)*{1}="1"; (17,15)*{2}="2" **\dir{.};
-(6,0)*{A}="A"; (13,18)*{B}="B" **\dir{-}
-?!{"1";"2"} *{\bullet}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-No comando \verb+?!{"1";"2"} *{\bullet}+, o operador \verb+?+ ``pega'' a posio da ltima conexo definida
-(neste caso a que liga as posies \verb+"A"+ e \verb+"B"+), e a seguir a operao \verb+!{"1";"2"}+ encontra o
-ponto de interceptao desta conexo com a linha que liga as posies
-\verb+"1"+ e \verb+"2"+. Ento posto um $\bullet$ (``bullet'') no ponto de interceptao.
-
-Podemos definir diagramas aninhados, ou seja, diagramas dentro de
-ou\-tros diagramas. Para isto basta usar um diagrama como se fosse um
-objeto ou um direcional. Neste exemplo ilustramos o uso deste recurso:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{9cm}
-\begin{verbatim}
-\xy
-(0,0)*++{
-\xy
-(0,0)*+{A}; (0,10)*+{B} **\dir{-} ?>* \dir{>}
-\endxy
-}="x";
-(20,0)*++{
-\xy
-(0,0)*+{A}; (0,10)*+{B} **\dir{-} ?<* \dir{<}
-\endxy
-}="y";
-{\ar@{=>} "x";"y"};
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*++{
-\xy
-(0,0)*+{A}; (0,10)*+{B} **\dir{-} ?>* \dir{>}
-\endxy
-}="x";
-(20,0)*++{
-\xy
-(0,0)*+{A}; (0,10)*+{B} **\dir{-} ?<* \dir{<}
-\endxy
-}="y";
-{\ar@{=>} "x";"y"};
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Observe que
-\begin{verbatim}
-\xy
-(0,0)*+{A}; (0,10)*+{B} **\dir{-} ?>* \dir{>}
-\endxy
-\end{verbatim}
- atribuido a \verb+"x"+ e usado como objeto posicionado em $(0,0)$ e
-\begin{verbatim}
-\xy
-(0,0)*+{A}; (0,10)*+{B} **\dir{-} ?<* \dir{<}
-\endxy
-\end{verbatim}
- atribuido a \verb+"y"+ e usado como objeto posicionado em
-$(20,0)$. Ambos os objetos so conectados pela seta dupla definida por \verb+{\ar@{=>} "x";"y"}+.
-
-Podemos usar macros \TeX{} em \Xy-figuras. Por exemplo:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{9cm}
-\begin{verbatim}
-\def\grafo{\xy (0,10)*+{A}; (0,0)*+{B} **\dir{-}
-?>* \dir{>} \endxy}
-\xy
-{\ar@{=>} (0,0)*{\grafo};(15,0)*{\grafo}}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\def\grafo{\xy (0,10)*+{A}; (0,0)*+{B} **\dir{-}
-?>* \dir{>} \endxy}
-\xy
-{\ar@{=>} (0,0)*{\grafo};(15,0)*{\grafo}}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Neste diagrama,
-\begin{verbatim}
-\def\grafo{\xy (0,10)*+{A}; (0,0)*+{B} **\dir{-}
-?>* \dir{>} \endxy}
-\end{verbatim}
-define uma macro \TeX, referenciada como \verb+\grafo+, que usada duas
-vezes a\-ninha\-da no diagrama.
-
-\section{Extenses}
-
-Nesta seo so descritas algumas extenses ao kernel do
-\Xy-pic. Apresentaremos curvas, crculos, frames e
-importao de grficos externos.
-
-\vspace{10pt}
-Usando-se o comando \verb+\crv+ podemos criar curvas com mltiplos pontos tangentes:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xy
-(0,0)*{}="A";
-(10,0)*{}="B";
-"A"; "B" **\crv{(5,5)};
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{}="A";
-(10,0)*{}="B";
-"A"; "B" **\crv{(5,5)};
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Neste exemplo, a curva foi definida tendo apenas um ponto tangente, o $(5,5)$.
-
-Podemos definir curvas com mais pontos tangentes:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*{}="A";
-(25,0)*{}="B";
-"A"; "B" **\crv{(5,-17) & (12,8)};
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{}="A";
-(25,0)*{}="B";
-"A"; "B" **\crv{(5,-17) & (12,8)};
-\endxy
-$$
-}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Uma facilidade para desenvolver curvas tornar os pontos tangentes
-visveis. Para isto usa-se \verb+~pC+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*{}="A";
-(25,0)*{}="B";
-"A"; "B" **\crv~pC{(5,-17) & (12,8)};
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{}="A";
-(25,0)*{}="B";
-"A"; "B" **\crv~pC{(5,-17) & (12,8)};
-\endxy
-$$
-}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Para produzir crculos usamos o comando \verb+\cir+. O tamanho
-\emph{default} do crculo o tamanho do objeto que ele
-envolver. Este exemplo ilustra isto:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*+{A}; (10,0)*+{B}*\cir{} **\dir{-}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*+{A}; (10,0)*+{B}*\cir{} **\dir{-}
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Podemos especificar um raio para o crculo. Por exemplo, se o crculo
-deve ter \verb+20pt+ de raio, usamos \verb+\cir<20pt>{}+.
-
-Segmentos de crculo podem ser obtidos especificando-se as direes
-dos vetores tangentes e um giro em sentido horrio (usando \verb+_+)
-ou sentido anti-horrio (usando \verb+^+). As direes que podem ser
-especificadas so:
-$$
- \shorthandoff{"}
-\xy
-(0,0)*\cir<10pt>{};
-{\ar@{->} (-4,0)*{}; (-14,0)*+{l}};
-{\ar@{->} (4,0)*{}; (14,0)*+{r}};
-{\ar@{->} (0,4)*{}; (0,14)*+{u}};
-{\ar@{->} (0,-4)*{}; (0,-14)*+{d}};
-{\ar@{->} (3,3)*{}; (12,12)*+{ur=ru}};
-{\ar@{->} (-3,3)*{}; (-12,12)*+{ul=lu}};
-{\ar@{->} (-3,-3)*{}; (-12,-12)*+{dl=ld}};
-{\ar@{->} (3,-3)*{}; (12,-12)*+{dr=rd}};
-\endxy
-$$
-
-Exemplos de segmentos de crculo:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\verb+\xy *\cir<5pt>{l^r} \endxy+ & \xy *\cir<5pt>{l^r} \endxy \\
-\verb+\xy *\cir<5pt>{dl_u} \endxy+ & \xy *\cir<5pt>{dl_u} \endxy \\
-\verb+\xy *\cir<5pt>{dr^ur} \endxy+ & \xy *\cir<5pt>{dr^ur} \endxy \\
-\verb+\xy *\cir<5pt>{dr_ur} \endxy+ & \xy *\cir<5pt>{dr_ur} \endxy \\
-\verb+\xy *\cir<5pt>{ur^dr} \endxy+ & \xy *\cir<5pt>{ur^dr} \endxy
-\end{tabular}
-
-\vspace{10pt}
-Se so dadas a mesma diagonal duas vezes, ento nada produzido, como
-em \verb+\xy *\cir<5pt>{d^d} \endxy+, que produz ``\ ''.
-
-No prximo exemplo produziremos um ``\emph{smile}'' usando crculo,
-vetores, e os operadores \verb+?+, \verb+_+ e \verb+!+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*{};(4,0)*{} **\dir{} ? *_!/3pt/\dir{)}
-*_!/7pt/\dir{:}; (2,2)*\cir<5pt>{};
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{};(4,0)*{} **\dir{} ? *_!/3pt/\dir{)}
-*_!/7pt/\dir{:}; (2,2)*\cir<5pt>{};
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-O operador \verb+?+, que j explicamos anteriormente, serve para ``pegar'' a posio da
-ltima conexo. O operador \verb+_+ serve para girar um objeto $90^o$
-em sentido horrio (para o sentido anti-horrio usaramos o operador
-\verb+^+). O operador \verb+!+ serve para tornar a direo oblqua ao
-direcional usado (\emph{skew}). Finalmente, os vetores \verb+/3pt/+ e \verb+/7pt/+
-servem para deslocar os objetos ``\verb+)+'' e ``\verb+:+'' sobre a direo.
-
-Vamos explicar passo a passo a construo do smile do nosso exemplo.
-
-Em primeiro lugar, usamos o operador \verb+?+ para ``pegar'' a
-posio do direcional ``vazio'' (\emph{dummy}) que conecta $(0,0)$ e
-$(4,0)$. Sobre esta direo ser posto o ``\verb+)+''. Ilustramos isto,
-mostrando o direcional vazio como uma linha pontilhada para melhor visualizao:
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{}; (4,0)*{} **\dir{.} ?*{)}
-\endxy
-$$
-
-Para produzirmos a boca do smile devemos girar o ``\verb+)+'' em um ngulo de
-$90^o$ em sentido horrio, e para isto usamos o operador \verb+_+,
-resultando em:
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{}; (4,0)*{} **\dir{.} ?*_\dir{)}
-\endxy
-$$
-
-Usamos o operador \verb+!+ para indicar a direo oblqua ao
- direcional (para que possamos depois deslocar). Ilustramos com uma
- seta pontilhada esta nova direo:
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{}; (4,0)*{} **\dir{.} ?*_\dir{)};
-(2,-3)*{}; (2,5)*{} **\dir{.} ?>* \dir{>}
-\endxy
-$$
-
-As mesmas operaes so feitas sobre o ``\verb+:+'', que formar os olhos do smile.
-
-Finalmente, deslocamos o ``\verb+)+'' e o ``\verb+:+'' na nova direo, usando os vetores \verb+/3pt/+ e
-\verb+/7pt/+, res\-pec\-ti\-va\-men\-te:
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{}; (4,0)*{} **\dir{.} ?*_!/3pt/\dir{)} *_!/7pt/\dir{:};
-\endxy
-$$
-
-O crculo foi usado como ``toque final'' para completar o smile.
-
-Poderamos tambm desenhar um smile usando um segmento de crculo, como
-em:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*{};(4,0)*{} **\dir{} ? *_!/7pt/\dir{:};
-(2,2)*\cir<5pt>{};
-(2,2)*\cir<3pt>{dr^ur};
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*{};(4,0)*{} **\dir{} ? *_!/7pt/\dir{:};
-(2,2)*\cir<5pt>{};
-(2,2)*\cir<3pt>{dr^ur};
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Observe que a boca, tendo sido feita com um segmento de crculo,
-resultou em um smile um pouco diferente ao do exemplo anterior.
-
-\emph{Frames} so molduras que podem ser postas em \Xy-figuras. Uma moldura
-(frame) um objeto \Xy-pic{} na forma \verb+\frm{ ... }+. Na
-Figura~\ref{fig:frames} so mostrados alguns tipos de molduras
-disponveis (para mais veja o \emph{\Xy-pic{} Reference Manual}).
-
-\begin{figure}[!tp]
-\begin{center}
-\begin{tabular}{ccc}
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{\}}}}*\frm{} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{.\}}}}*\frm{.} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm<44pt>\{.\}}}}*\frm<44pt>{.} \endxy \\
- & & \\
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{-\}}}}*\frm{-} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm<8pt>\{-\}}}}*\frm<8pt>{-} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm<44pt>\{-\}}}}*\frm<44pt>{-} \endxy \\
- & & \\
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{--\}}}}*\frm{--} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{o-\}}}}*\frm{o-} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm<44pt>\{--\}}}}*\frm<44pt>{--} \endxy \\
- & & \\
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{,\}}}}*\frm{,} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm<5pt>\{,\}}}}*\frm<5pt>{,} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{-,\}}}}*\frm{-,} \endxy \\
- & & \\
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{o\}}}}*\frm{o} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm<8pt>\{o\}}}}*\frm<8pt>{o} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{.o\}}}}*\frm{.o} \endxy \\
- & & \\
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{ee\}}}}*\frm{ee} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm<20pt,8pt>\{ee\}}}}*\frm<20pt,8pt>{ee} \endxy &
-\xy (0,0)*{\txt{Usando \\ $\backslash${\tt frm\{-e\}}}}*\frm<44pt>{-e}
-\endxy
-\end{tabular}
-\end{center}
-\caption{Molduras (frames)}\label{fig:frames}
-\end{figure}
-
-Podemos agora, usando curvas e molduras (frames), construir o seguinte diagrama:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy
-(0,0)*++{\txt{Redondo}}*\frm{oo}="r";
-(30,30)*++{\txt{Quadrado}}*\frm{-,}="q";
-"r";"q" **\dir{} ? *++{\txt{Liga}}*\frm{.}="l";
-"r";"l" **\crv{(15,0)};
-"l";"q" **\crv{(15,30)} ?>* \dir{>};
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-$$
- \shorthandoff{"}
-\xy
-(0,0)*++{\txt{Redondo}}*\frm{oo}="r";
-(30,30)*++{\txt{Quadrado}}*\frm{-,}="q";
-"r";"q" **\dir{} ? *++{\txt{Liga}}*\frm{.}="l";
-"r";"l" **\crv{(15,0)};
-"l";"q" **\crv{(15,30)} ?>* \dir{>};
-\endxy
-$$
-\end{minipage}
-\end{tabular}
-
-\vspace{20pt}
-Observe neste exemplo como o \verb+Liga+ posicionado usando-se o
-operador \verb+?+ para obter a posio da ligao entre \verb+"r"+ e \verb+"q"+.
-
-Para importar imagens \emph{postscript} devemos declarar a opo
-\verb+import+ na declarao
-\verb+\usepackage[all,import]{xy}+. Podemos usar qualquer pacote
-para importar a imagem, como por exemplo, \verb+graphicx+, \verb+graphics+, \verb+epsf+ ou
-\verb+epsfig+. Neste caso, usamos o \verb+graphicx+, e para isto
-devemos declarar o uso do pacote com o comando
-\verb+\usepackage{graphicx}+.
-
-Usamos \verb+\xyimport+ para estabelecer um sistema de coordenadas
-para uma imagem em particular, permitindo que qualquer comando do
-\Xy-pic{} seja u\-sa\-do, com as posies relativas ao sistema de
-coordenadas definido. Para isto, o comando
-\verb+\xyimport(larg,alt){imagem}+ exige que se defina uma largura e uma
-altura, que fornece uma distncia em unidades de coordenadas,
-iniciando no canto inferior esquerdo, onde o sistema de coordenadas
-usualmente deve estar localizado.
-
-Assim, usando a imagem apresentada
-na Figura~\ref{fig:semxy}, podemos produzir o que se pode ver na
-Figura~\ref{fig:import}, usando o seguinte cdigo:
-\begin{verbatim}
-\def\grafico{\includegraphics[width=9cm]{grafico.eps}}
-\xy
-\xyimport(100,100){\grafico}
-{\ar (75,85)*+{\txt{Astride}}; (60,75)*{}}
-{\ar (75,25)*+{\txt{Elipse}}; (80,37)*{}}
-\endxy
-\end{verbatim}
-
-Observe-se que
-\begin{verbatim}
-\def\grafico{\includegraphics[width=9cm]{grafico.eps}}
-\end{verbatim}
- uma
-macro \TeX{} para definir a imagem a ser importada.
-
-\begin{figure}[!tp]
-\begin{center}
-\includegraphics[width=9cm]{grafico.eps}
-\end{center}
-\caption{Imagem sem comandos \Xy}\label{fig:semxy}
-\end{figure}
-
-\begin{figure}[!tp]
-\[
-\def\grafico{\includegraphics[width=9cm]{grafico.eps}}
-\xy
-\xyimport(100,100){\grafico}
-{\ar (75,85)*+{\txt{Astride}}; (60,75)*{}}
-{\ar (75,25)*+{\txt{Elipse}}; (80,37)*{}}
-\endxy
-\]
-\caption{Importando uma imagem}\label{fig:import}
-\end{figure}
-
-\section{Usando Polgonos e Elipses}
-
-Para usar polgonos em diagramas necessrio carregar o \Xy-pic declarando a opo
-\verb+poly+, usando o comando \verb+\usepackage[all,poly]{xy}+.
-
-Polgonos podem ser produzidos usando-se o comando
-\verb+\xypolygon+. Por exemplo, podemos criar um hexgono usando:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xy
-/r4pc/:{\xypolygon6{\circ}}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xy
-/r4pc/:{\xypolygon6{\circ}}
-\endxy
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Observe-se que \verb+/r4pc/+ especifica o tamanho do polgono em 4pc
-(48pt). O nmero de lados do polgono declarado por meio de um valor
-inteiro aps o comando \verb+\xypolygon+. Assim, especificamos o
-hexgono com \verb+\xypolygon6+. Alm disto, o argumento \verb+\circ+ indica que os vrtices do
-polgono devero ser crculos.
-
-Alguns outros exemplos de polgonos so:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy /r8mm/:
-, 0 ,{\xypolygon6{}}
-,+/r18mm/,{\xypolygon8{@{o}}}
-,+/r18mm/,{*@{o}\xypolygon6{@{*}}}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xy /r8mm/:
-, 0 ,{\xypolygon6{}}
-,+/r18mm/,{\xypolygon8{@{o}}}
-,+/r18mm/,{*@{o}\xypolygon6{@{*}}}
-\endxy
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Nestes exemplos, \verb+0+ (origem) e
-\verb=+/r18mm/= (deslocamento)
-especificam o posicionamento dos trs polgonos, e os \verb+@{o}+ e
-\verb+@{*}+ especificam os vrtices.
-
-Mais exemplos:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xy /r8mm/:
-, 0 ,{\xypolygon6{~*{\dir{*}}}}
-,+/r18mm/,
-{\xypolygon8{~<{.}~>{}~={45}{\dir{*}}}}
-,+/r18mm/,
-{\xypolygon6{~<{=}~>{:}{\dir{*}}}}
-\endxy
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xy /r8mm/:
-, 0 ,{\xypolygon6{~*{\dir{*}}}}
-,+/r18mm/,
-{\xypolygon8{~<{.}~>{}~={45}{\dir{*}}}}
-,+/r18mm/,
-{\xypolygon6{~<{=}~>{:}{\dir{*}}}}
-\endxy
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Neste exemplo, observamos o uso de \verb+~<+, \verb+~>+ e \verb+~=+
-para indicar conexes entre os vrtices do polgono.
-
-Para produzir elipses usamos \verb+xycircle+. Assim,
-\verb+(0,0)*\xycircle(7,2){.}+ produz uma elipse centrada em $(0,0)$,
-com largura $7$ e altura $2$, e pontilhada:
-\[
-\xy
-(0,0)*\xycircle(7,2){.}
-\endxy
-\]
-
-\section{Produzindo Diagramas em Matriz}
-
-O \Xy-pic oferece uma facilidade (\emph{feature}) para tipografar
-diagramas em forma de matriz. Este tipo de diagrama tem
-aplicao em diversas reas da matemtica e de cincia da computao, como por exemplo em teoria dos autmatos e teoria das categorias. Para
-produzir um diagrama deste tipo usamos o comando
-\verb+\xymatrix{ ... }+.
-
-O diagrama ser formado pelas entradas de uma matriz, organizadas em
-linhas e colunas. Cada entrada pode conter uma expresso matemtica
-(produzida usando o modo matemtico).
-
-Usa-se \verb+&+ para separar as colunas e \verb+\\+ para indicar nova
-linha, em uma notao semelhante ao ambiente \emph{array} do modo
-matemtico do \LaTeX. Assim, se desejamos produzir uma matriz com duas linhas e duas
-colunas, usamos:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xymatrix{
-1 & 2 \\
-3 & 4
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-1 & 2 \\
-3 & 4
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Poderamos omitir entradas direita que no fossem necessrias no
-diagrama, como em:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xymatrix{
-1 & 2 \\
-3
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-1 & 2 \\
-3
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Tambm podemos deixar entradas em branco na matriz, como em:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xymatrix{
-1 & 2 \\
- & 4
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-1 & 2 \\
- & 4
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Para conectar entradas por setas usamos \verb+\ar+. O destino da seta
-definido de forma relativa origem por meio de uma seqncia de \verb+u+ (acima), \verb+d+ (abaixo),
-\verb+l+ (esquerda) e \verb+r+ (direita), colocados entre colchetes. Assim, para conectar a
-entrada da primeira linha e coluna com a da segunda linha e coluna usamos \verb+\ar[dr]+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xymatrix{
-1 \ar[dr] & 2 \\
-3 & 4
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-1 \ar[dr] & 2 \\
-3 & 4
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-As setas da Figura~\ref{fig:setas} funcionaro tambm com o
-\verb+\xymatrix+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-{\bullet} \ar@{:>}[r] \ar@{-->}[dr] & {\bullet}
-\ar@{=>}[d] \\
-{\bullet} \ar@{-}[u] \ar@{.>}[r] & {\bullet}
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-{\bullet} \ar@{:>}[r] \ar@{-->}[dr] & {\bullet}
-\ar@{=>}[d] \\
-{\bullet} \ar@{-}[u] \ar@{.>}[r] & {\bullet}
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Este um exemplo com uma matriz trs por trs:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-2\times 4 \ar[ddrr] & \sqrt{2} \ar[ddl]
-& 2^2 \ar[dl] \\
-2 & 4 & 6 \\
-1.414 & 2.7 & 8
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-2\times 4 \ar[ddrr] & \sqrt{2} \ar[ddl]
-& 2^2 \ar[dl] \\
-2 & 4 & 6 \\
-1.414 & 2.7 & 8
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Observe que a seta que liga $2\times 4$ e $8$ passa sobre o $4$, o que pode ser inconveniente. Para evitar isto podemos
-curvar a seta para cima, usando ``\verb+@/^/+'', ou para baixo, usando
-``\verb+@/_/+''. Neste caso, curvaremos para baixo:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-2\times 4 \ar@/_/[ddrr] & \sqrt{2} \ar[ddl]
-& 2^2 \ar[dl] \\
-2 & 4 & 6 \\
-1.414 & 2.7 & 8
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-2\times 4 \ar@/_/[ddrr] & \sqrt{2} \ar[ddl]
-& 2^2 \ar[dl] \\
-2 & 4 & 6 \\
-1.414 & 2.7 & 8
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Para uma curvatura maior poderiamos usar, por exemplo, \verb+@/_1pc/+.
-
-Podemos colocar um rtulo acima (ou abaixo) de uma seta. Para isto
-basta usar ``\verb+^+'' (ou ``\verb+_+''). Neste exemplo mostramos
-isto:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-A \ar[dr]^{a} \\
-B & C
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-A \ar[dr]^{a} \\
-B & C
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Observe que ``acima'' pode no significar exatamente acima da seta, se a
-seta est voltada para a esquerda:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-A & B\ar[dl]^{a} \\
-C
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-A & B\ar[dl]^{a} \\
-C
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Tambm podemos posicionar o rtulo da seta sobre a seta, ou no ``meio'', usando
-\verb+|+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-A\ar[r]|a & B
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-A\ar[r]|a & B
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-O ``\verb+|+'' pode ser til para fazer ``buracos'' nas setas (por
-exemplo, para passar outras setas sem que se cruzem). Para isto usamos
-\verb+\hole+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-A\ar[r]|\hole & B
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-A\ar[r]|\hole & B
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-O seguinte diagrama a definio de produto fibrado em teoria das
-categorias. Nele usamos vrios dos recursos do \verb+\xymatrix+ j apresentados:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-d\ar@/_/[ddr]_h\ar[dr]|{<h,k>_a}
-\ar@/^/[drr]^k \\
- & {b\times_a c}\ar[d]^p\ar[r]_q &
-c\ar[d]^g\\
- & b\ar[r]^f & a
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-d\ar@/_/[ddr]_h\ar[dr]|{<h,k>_a}
-\ar@/^/[drr]^k \\
- & {b\times_a c}\ar[d]^p\ar[r]_q &
-c\ar[d]^g\\
- & b\ar[r]^f & a
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-O comando \verb+\xymatrix+ permite especificar a forma com que
-o diagrama ser tipografado. A especificao uma seqncia de
-\verb+@<especificao>+ que antecedem os comandos dentro do
-\verb+\xymatrix+. Assim, por exemplo, \verb+\xymatrix@1{ ... }+
-especifica que o diagrama deve ser tipografado em uma linha, como em
-\verb+\xymatrix@1{A\ar[r]^f & B}+, que produz \xymatrix@1{A\ar[r]^f &
- B}. Isto til para produzir pequenos diagramas que aparecero
-dentro do pargrafo do texto.
-
-Da mesma forma podemos modificar o espaamento das linhas e das colunas por
-meio das especificaes \verb+@R<dim>+ e/ou \verb+@C<dim>+, como por
-exemplo em
-\verb+\xymatrix@R10pt@C5pt{ ... }+, que especifica 10pt para o
-espaamento das linhas e 5pt para o das colunas.
-
-Podemos explicitamente posicionar o rtulo sobre a seta:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\verb+\xymatrix{A\ar[r]^<{f} & B}+ & {\xymatrix{A\ar[r]^<{f} & B}} \\
-\verb+\xymatrix{A\ar[r]^>{f} & B}+ & {\xymatrix{A\ar[r]^>{f} & B}} \\
-\verb+\xymatrix{A\ar[r]^(.4){f} & B}+ & {\xymatrix{A\ar[r]^(.4){f} & B}}
-\end{tabular}
-
-\vspace{10pt}
-Observe-se que, no ltimo caso, podemos usar um valor entre $0$ e $1$
-como fator para posicionar o rtulo (foi usado 0,4 como exemplo). O
-fator $0$ representa o incio da seta, e o fator $1$ representa o fim.
-
-Finalmente, outra possibilidade usar \verb+!{t1;t2}+, que posiciona
-o rtulo no ponto em que a seta cruza a linha que liga os lugares
-\verb+t1+ e \verb+t2+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-A \ar[rr]^f \ar[dr]_(.3)g |!{[d];[rr]}\hole
-& & B \\
-C \ar[rru]_(.7)h \ar[r]_i & D
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-A \ar[rr]^f \ar[dr]_(.3)g |!{[d];[rr]}\hole
-& & B \\
-C \ar[rru]_(.7)h \ar[r]_i & D
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Neste ltimo exemplo, o \verb+!{[d];[rr]}+ determina o ponto em que a
-seta que liga $A$ e $D$ se cruza com a que liga $C$ e $B$. Neste ponto
- posto o \verb+\hole+.
-
-Podemos indicar a posio que a seta deve entrar ou sair de uma entrada
-usando as seguintes direes, que j haviam sido mostradas, e
-repetimos aqui para facilitar:
-$$
- \shorthandoff{"}
-\xy
-(0,0)*\cir<10pt>{};
-{\ar@{->} (-4,0)*{}; (-14,0)*+{l}};
-{\ar@{->} (4,0)*{}; (14,0)*+{r}};
-{\ar@{->} (0,4)*{}; (0,14)*+{u}};
-{\ar@{->} (0,-4)*{}; (0,-14)*+{d}};
-{\ar@{->} (3,3)*{}; (12,12)*+{ur=ru}};
-{\ar@{->} (-3,3)*{}; (-12,12)*+{ul=lu}};
-{\ar@{->} (-3,-3)*{}; (-12,-12)*+{dl=ld}};
-{\ar@{->} (3,-3)*{}; (12,-12)*+{dr=rd}};
-\endxy
-$$
-
-Isto nos permite fazer uma seta ``reflexiva'', especificando a seta
-usando o comando
-\verb+\ar@(sada,entrada)[]+. O \verb+[]+ indica que a seta apontar
-para a prpria entrada, e a especificao \verb+@(sada,entrada)+
-define as direes de sada e entrada da seta. Assim,
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xymatrix{
-1 \ar@(ul,ur)[]^{id} \ar[r]_f &
-2 \ar@(ul,ur)[]^{id}
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-1 \ar@(ul,ur)[]^{id} \ar[r]_f &
-2 \ar@(ul,ur)[]^{id}
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Podemos produzir setas paralelas, usando uma \emph{dimenso} para
-separa-las, definida por \verb+@<dim>+:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xymatrix{
-A\ar@<1ex>[r]^a_{.} & B\ar@<1ex>[l]^b
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-A\ar@<1ex>[r]^a_{.} & B\ar@<1ex>[l]^b
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-A dimenso de 1ex, adotada neste caso, conveniente pois corresponde
- altura da letra ``x''.
-
-Os recursos de frames (molduras) que podem ser usados nos objetos do diagrama so
-apresentados na Figura~\ref{tab:framematriz}. Os modificadores
-\verb=+= e \verb=-= podem ser usados para aumentar ou diminuir o
-tamanho da moldura.
-
-\begin{figure}[!tp]
-\begin{center}
-\begin{tabular}{cccc}
-\verb+[F]+ & {\xymatrix{*+[F]{\txt{Simples}}}} & \verb+[F=]+ &
- {\xymatrix{*+[F=]{\txt{Duplo}}}} \\
- & & & \\
-\verb+[F.]+ & {\xymatrix{*+[F.]{\txt{Pontilhado}}}} & \verb+[F--]+ &
- {\xymatrix{*+[F--]{\txt{Tracejado}}}} \\
- & & & \\
-\verb+[F-,]+ & {\xymatrix{*+[F-,]{\txt{Sombra}}}} & \verb+[F-:<3pt>]+ &
- {\xymatrix{*+[F-:<3pt>]{\txt{Arredondado}}}} \\
- & & & \\
-\verb+[o][F-]+ & {\xymatrix{*+[o][F-]{\txt{Redondo}}}}
-\end{tabular}
-\end{center}
-\caption{Frames em diagramas em matriz}\label{tab:framematriz}
-\end{figure}
-
-Um exemplo usando frames :
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-*+[F-,]{\int_{-\infty}^{+\infty}
-f(x)\mathrm{d}x } \ar[dr] \\
-*+[o][F-]{\txt{pi}} & 10
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-*+[F-,]{\int_{-\infty}^{+\infty}
-f(x)\mathrm{d}x } \ar[dr] \\
-*+[o][F-]{\txt{pi}} & 10
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-O exemplo a seguir um diagrama que representa um autmato finito:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{8cm}
-\begin{verbatim}
-\xymatrix{
-*++[o][F-]{1} \ar@(ul,ul)[] \ar[r]^{1}
-\ar[d]^{0} & *++[o][F=]{3} \\
-*++[o][F-]{2} \ar[ur]_{1} \ar@(dl,d)[]_{0}}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-*++[o][F-]{1} \ar@(ul,ul)[] \ar[r]^{1}
-\ar[d]^{0} & *++[o][F=]{3} \\
-*++[o][F-]{2} \ar[ur]_{1} \ar@(dl,d)[]_{0}}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Outro exemplo:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xymatrix{
-{\txt{Oceano}}
-\ar@/^3pc/[rr]^{\txt{evaporao}}
-& *+[F-]{H_2O}
-& {\txt{Atmosfera}}
-\ar@/^3pc/[ll]^{\txt{precipitao}}
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-{\txt{Oceano}}
-\ar@/^3pc/[rr]^{\txt{evaporao}}
-& *+[F-]{H_2O}
-& {\txt{Atmosfera}}
-\ar@/^3pc/[ll]^{\txt{precipitao}}
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Ainda possvel colocar entradas extras, que estaro fora da matriz,
-usando o comando \verb+\save ... \restore+. Neste caso, o que fica
-dentro do comando no far parte de nenhuma entrada da matriz:
-\vspace{10pt}
-
-\noindent \begin{tabular}{lr}
-\begin{minipage}{7cm}
-\begin{verbatim}
-\xymatrix{
-A \ar@{-}[dr] &
-\save[]+<3cm,0cm>*\txt<8pc>{
-Este um longo comentrio que
-no ocupar nenhuma entrada
-da matriz}
-\ar[l]\ar[d]
-\restore \\
- & B\ar@{-}[r] & C
-}
-\end{verbatim}
-\end{minipage} &
-\begin{minipage}{6cm}
-{$$
- \shorthandoff{"}
-\xymatrix{
-A \ar@{-}[dr] &
-\save[]+<3cm,0cm>*\txt<8pc>{
-Este um longo comentrio que
-no ocupar nenhuma entrada
-da matriz}
-\ar[l]\ar[d]
-\restore \\
- & B\ar@{-}[r] & C
-}
-$$}
-\end{minipage}
-\end{tabular}
-
-\vspace{10pt}
-Observe-se que a seta \verb+\ar[d]+, que parte do comentrio, no
-necessariamente ``para baixo''.
-
-\begin{thebibliography}{1}
-\bibitem {bib:guia} Rose, K. H. \emph{\Xy-pic User's Guide}. Disponvel em: \url{http://tug.org/applications/Xy-pic/soft/xyguide.ps.gz}.
-\bibitem {bib:manual} Rose, K. H. \& Moore, R. \emph{\Xy-pic Reference
- Manual}. Disponvel em: \url{http://tug.org/applications/Xy-pic/soft/xyrefer.ps.gz}.
-\bibitem {bib:goossens} Goossens, M. \& Rahtz, S. \& Mittelbach,
- F. \emph{The \LaTeX{} Graphics Companion}, Addison-Wesley, 1997.
-\end{thebibliography}
-
-\newpage
-
-Copyright \copyright 2006 Carlos A. P. Campani.
-
- garantida a permisso para copiar, distribuir e/ou modificar este documento sob os termos da Licena de Documentao Livre GNU (GNU Free Documentation License), Verso 1.2 ou qualquer verso posterior publicada pela Free Software Foundation; sem Sees Invariantes, Textos de Capa Frontal, e sem Textos de Quarta Capa. Uma cpia da licena includa na seo intitulada ``GNU Free Documentation License''.
-
-veja: \url{http://www.ic.unicamp.br/~norton/fdl.html}.
-
-\end{document}
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