\HeaderA{polygon}{Polygon Drawing}{polygon}
\keyword{aplot}{polygon}
\begin{Description}\relax
\code{polygon} draws the polygons whose vertices are
given in \code{x} and \code{y}.
\end{Description}
\begin{Usage}
\begin{verbatim}
polygon(x, y = NULL, density = NULL, angle = 45,
        border = NULL, col = NA, lty = par("lty"), ...)
\end{verbatim}
\end{Usage}
\begin{Arguments}
\begin{ldescription}
\item[\code{x,y}] vectors containing the coordinates of the vertices
of the polygon.
\item[\code{density}] the density of shading lines, in lines per inch.  The
default value of \code{NULL} means that no shading lines are drawn.
A zero value of \code{density} means no shading nor filling whereas
negative values (and \code{NA}) suppress shading (and so allow
color filling).
\item[\code{angle}] the slope of shading lines, given as an angle
in degrees (counter-clockwise).
\item[\code{col}] the color for filling the polygon. The default,
\code{NA}, is to leave polygons unfilled, unless \code{density} is
specified.  (For back-compatibility, \code{NULL} is equivalent to
\code{NA}.)  If \code{density} is specified with a positive value
this gives the color of the shading lines.
\item[\code{border}] the color to draw the border.  The default, \code{NULL},
means to use \code{\LinkA{par}{par}("fg")}.  Use \code{border = NA} to
omit borders.

For compatibility with S, \code{border} can also be logical, in
which case \code{FALSE} is equivalent to \code{NA} (borders omitted)
and \code{TRUE} is equivalent to \code{NULL} (use the foreground colour),

\item[\code{lty}] the line type to be used, as in \code{\LinkA{par}{par}}.
\item[\code{...}] graphical parameters such as \code{xpd}, \code{lend},
\code{ljoin} and \code{lmitre} can be given as arguments.
\end{ldescription}
\end{Arguments}
\begin{Details}\relax
The coordinates can be passed in a plotting structure
(a list with \code{x} and \code{y} components), a two-column matrix,
\dots.  See \code{\LinkA{xy.coords}{xy.coords}}.

It is assumed that the polygon is to be closed by joining the last point to
the first point.

The coordinates can contain missing values.  The behaviour is similar
to that of \code{\LinkA{lines}{lines}}, except
that instead of breaking a line into several lines, \code{NA}
values break the polygon into several complete polygons
(including closing the last point to the first point).  See
the examples below.

When multiple polygons are produced,
the values of \code{density}, \code{angle}, \code{col}, \code{border},
and \code{lty} are recycled in the usual manner.
\end{Details}
\begin{Section}{Bugs}
The present shading algorithm can produce incorrect results for
self-intersecting polygons.
\end{Section}
\begin{Author}\relax
The code implementing polygon shading was donated by
Kevin Buhr \email{buhr@stat.wisc.edu}.
\end{Author}
\begin{References}\relax
Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988)
\emph{The New S Language}.
Wadsworth \& Brooks/Cole.

Murrell, P. (2005) \emph{R Graphics}. Chapman \& Hall/CRC Press.
\end{References}
\begin{SeeAlso}\relax
\code{\LinkA{segments}{segments}} for even more flexibility, \code{\LinkA{lines}{lines}},
\code{\LinkA{rect}{rect}}, \code{\LinkA{box}{box}}, \code{\LinkA{abline}{abline}}.

\code{\LinkA{par}{par}} for how to specify colors.
\end{SeeAlso}
\begin{Examples}
\begin{ExampleCode}
x <- c(1:9,8:1)
y <- c(1,2*(5:3),2,-1,17,9,8,2:9)
op <- par(mfcol=c(3,1))
for(xpd in c(FALSE,TRUE,NA)) {
  plot(1:10, main = paste("xpd =", xpd))
  box("figure", col = "pink", lwd=3)
  polygon(x,y, xpd=xpd, col="orange", lty=2, lwd=2, border="red")
}
par(op)

n <- 100
xx <- c(0:n, n:0)
yy <- c(c(0,cumsum(stats::rnorm(n))), rev(c(0,cumsum(stats::rnorm(n)))))
plot   (xx, yy, type="n", xlab="Time", ylab="Distance")
polygon(xx, yy, col="gray", border = "red")
title("Distance Between Brownian Motions")

# Multiple polygons from NA values
# and recycling of col, border, and lty
op <- par(mfrow=c(2,1))
plot(c(1,9), 1:2, type="n")
polygon(1:9, c(2,1,2,1,1,2,1,2,1),
        col=c("red", "blue"),
        border=c("green", "yellow"),
        lwd=3, lty=c("dashed", "solid"))
plot(c(1,9), 1:2, type="n")
polygon(1:9, c(2,1,2,1,NA,2,1,2,1),
        col=c("red", "blue"),
        border=c("green", "yellow"),
        lwd=3, lty=c("dashed", "solid"))
par(op)

# Line-shaded polygons
plot(c(1,9), 1:2, type="n")
polygon(1:9, c(2,1,2,1,NA,2,1,2,1),
        density=c(10, 20), angle=c(-45, 45))
\end{ExampleCode}
\end{Examples}

