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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-dist/doc/generic
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-dist/doc/generic')
-rw-r--r--Master/texmf-dist/doc/generic/xypic-tut-pt/README3
-rw-r--r--Master/texmf-dist/doc/generic/xypic-tut-pt/grafico.eps460
-rw-r--r--Master/texmf-dist/doc/generic/xypic-tut-pt/xypic-tutorial.pdf3011
-rw-r--r--Master/texmf-dist/doc/generic/xypic-tut-pt/xypictutorial.tex1954
4 files changed, 5428 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/generic/xypic-tut-pt/README b/Master/texmf-dist/doc/generic/xypic-tut-pt/README
new file mode 100644
index 00000000000..6bb13df8cc1
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/xypic-tut-pt/README
@@ -0,0 +1,3 @@
+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-dist/doc/generic/xypic-tut-pt/grafico.eps b/Master/texmf-dist/doc/generic/xypic-tut-pt/grafico.eps
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diff --git a/Master/texmf-dist/doc/generic/xypic-tut-pt/xypictutorial.tex b/Master/texmf-dist/doc/generic/xypic-tut-pt/xypictutorial.tex
new file mode 100644
index 00000000000..e48c9271b2f
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/xypic-tut-pt/xypictutorial.tex
@@ -0,0 +1,1954 @@
+\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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