---
title: "New Features in the R Graphics Engine"
author: "Paul Murrell"
date: 2020-07-15
categories: ["Internals"]
tags: ["graphics"]
---

```{r eval=FALSE, echo=FALSE}
knitr::opts_chunk$set(
  fig.width = 2, fig.height = 2
)
```

Support for gradient fills, pattern fills, clipping paths and masks
has been added to the R graphics engine (in the development version
of R, which will probably become R version 4.1.0).

An R-level interface for these new features has been added to the
'grid' graphics package.  

```{r}
library(grid)
```

For example, the following code 
fills a circle with a linear gradient.

```{r eval=FALSE, gradient}
grid.circle(gp=gpar(col=NA, fill=linearGradient()))
```

<img src="data:image/png;base64,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" width="192">

The next code fills a rectangle with a radial gradient.

```{r eval=FALSE, radial}
grid.rect(gp=gpar(fill=radialGradient(c("white", "black"),
                                      cx1=.8, cy1=.8, r1=0)))
```

<img 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" width="192">

The next code fills a rectangle with a pattern of grey diamonds
(by repeating a single grey diamond drawn in the centre of the image).

```{r eval=FALSE, pattern}
pat <- pattern(polygonGrob(unit(.5, "npc") + unit(c(-2, 0, 2, 0), "mm"),
                           unit(.5, "npc") + unit(c(0, 2, 0, -2), "mm"),
                           gp=gpar(col=NA, fill="grey")),
               width=unit(4, "mm"), height=unit(4, "mm"),
               extend="repeat")
grid.rect(gp=gpar(col=NA, fill=pat))
```

<img 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" width="192">

The following code applies a mask to the circle with a linear gradient
fill.  First we show the mask itself, which is a rectangle filled with
a linear gradient from black to transparent (drawn over the grey diamond
fill to show the transparency).

```{r eval=FALSE, mask}
mask <- rectGrob(gp=gpar(col=NA,
                         fill=linearGradient(c("black", "transparent"),
                                             x1=.1, y1=.1)))
grid.rect(gp=gpar(col=NA, fill=pat))
grid.draw(mask)
```

<img 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" width="192">

Now we apply the mask to the circle with a linear gradient fill, by
pushing a viewport with 
the mask as part of the viewport definition.  Again, we draw
over the top of the diamond fill to show how the semitransparency 
of the mask dictates the semitransparency of the circle.

```{r eval=FALSE, masked}
grid.rect(gp=gpar(col=NA, fill=pat))
pushViewport(viewport(mask=mask))
grid.circle(gp=gpar(col=NA, fill=linearGradient()))
popViewport()
```

<img 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" width="192">

Finally, the next code shows a clipping path.
We define a circular clipping path by specifying a grob as the 
`clip` argument for a viewport, then we draw the previous image,
which gets clipped to the circular clipping path.

```{r eval=FALSE, clipped}
pushViewport(viewport(clip=circleGrob()))
grid.rect(gp=gpar(col=NA, fill=pat))
pushViewport(viewport(mask=mask))
grid.circle(gp=gpar(col=NA, fill=linearGradient()))
popViewport()
```

<img 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" width="192">

What use are these new features?  That's where you come in!
Let us know what use you can make of these new features
and how the current implementation helps or hinders with that.
Further discussion and more detail about the new features and
how they have been implemented can be found in
<a href="https://stattech.blogs.auckland.ac.nz/2020/07/14/2020-04-catching-up-with-r-graphics/">this technical report</a>.

The new features have only been implemented on a subset of graphics 
devices so far: `cairo_pdf()`, `cairo_ps()`,
`x11(type="cairo")`, `png(type="cairo")`,
`jpeg(type="cairo")`, `tiff(type="cairo")`, `svg()`, and `pdf()`.
Although there is no support yet for `quartz()` or `windows()`,
almost all of the graphics devices above will work on all major platforms.

R packages that implement graphics devices will need to be updated and 
reinstalled just so that they do not crash R, even if they do not
yet offer any support for the new features.

This work was partially funded by a donation from R Studio to the
University of Auckland Foundation.
