The ContourFunctions R package provides functions that make it easier to make contour plots. The function `cf`

is a quick function that can take in grid data, a function, or any data, and give a contour plot showing the function or data.

`cf_grid`

`cf_grid`

creates a contour plot from a grid of points.

Below `a`

and `b`

create a grid of points at which `r`

is calculated. `cf_grid`

is used to create the contour plot. Note that the only indication of the relationship between the colors and the `r`

values is in the title of plot, which says that the darkest blue point is the minimum of -0.613, and the darkest pink point is the maximum of 1. (Note that this is not a good representation of the surface because there arenâ€™t enough points in the grid, the contours are actually concentric circles as shown below.)

```
library(ContourFunctions)
a <- b <- seq(-4*pi, 4*pi, len = 27)
r <- sqrt(outer(a^2, b^2, "+"))
cf_grid(a, b, cos(r^2)*exp(-r/(2*pi)))
```

To add a bar that shows how the colors relate to the output, simply set `bar=TRUE`

, as shown below.

`cf_grid(a, b, cos(r^2)*exp(-r/(2*pi)), bar=TRUE)`

Other parameters specifying details of the plot can be passed as well, see the documentation for those options.

`cf_func`

For the above we had to create the grid of points and give it in to `cf_grid`

. To make this easier, `cf_func`

allows you to simply pass in a function. It will then evaluate the function at a grid of points and pass these to `cf_grid`

to make the contour plot.

```
f1 <- function(r) cos(r[1]^2 + r[2]^2)*exp(-sqrt(r[1]^2 + r[2]^2)/(2*pi))
cf_func(f1, xlim = c(-4*pi, 4*pi), ylim = c(-4*pi, 4*pi))
```

If you give a function that can more efficient evaluate a bunch of points at a time, instead of one at a time, use the `batchmax`

to have it pass points as a matrix to the given function.

The argument `n`

controls how many points along each dimension are used. We see below that if we go back to `n=27`

, then we get the same plot as above.

`cf_func(f1, xlim = c(-4*pi, 4*pi), ylim = c(-4*pi, 4*pi), n=27)`

`cf_data`

Often one has data and wants to get an idea of what the surface looks like that fits the data. The `cf_data`

allows the user to pass in the data to get such a plot. A Gaussian process model is fit to the data, by default using the R package laGP to do so. The model is then used to make predictions at the grid of points to make the contour plot. The model prediction function is passed to `cf_func`

to create the contour plot. Note that this relies heavily on the model being somewhat accurate, and may not truly represent the data if the model is a poor fit.

Below a random sample of 20 points are taken from a function (a Gaussian peak centered at (0.5, 0.5)), and `cf_data`

is used to plot the data. The black dots show the data points used to create the model.

```
set.seed(0)
x <- runif(20)
y <- runif(20)
z <- exp(-(x-.5)^2-5*(y-.5)^2)# + rnorm(20,0,.05)
# cf_data(x,y,z)
cf_data(x,y,z, bar=T)
```

`afterplotfunc`

The contour plots are created using the `split.screen`

function. This causes the plot to not add additional items, such as points or lines, after making the plot. The plot below shows how when trying to add a point to the plot using `points`

, a point that should be placed at the center ends up in the bottom right corner.

```
cf_func(f1, xlim = c(-4*pi, 4*pi), ylim = c(-4*pi, 4*pi))
points(c(0,0), pch=19)
```

If you just want to add points, you can use the parameter `pts`

to do so. Below we see that the point ends up correctly in the center of the plot.

`cf_func(f1, xlim = c(-4*pi, 4*pi), ylim = c(-4*pi, 4*pi), pts=c(0,0))`

Another option, that gives you more capability, is to use the parameter `afterplotfunc`

to pass in a function that takes no arguments. After the plot is made this function will be called. You can put anything inside this function that you would normally do to a plot, including `points`

, `text`

, `legend`

, and `abline`

.

```
cf_func(f1, xlim = c(-4*pi, 4*pi), ylim = c(-4*pi, 4*pi),
afterplotfunc=function() {
points(5, 5, pch=19)
text(-5,5,"Text here")
legend('bottomright', legend=c(1,2,3), fill=c(1,2,3))
abline(a=0, b=1, col=2)
}
)
```

`cf`

To make using the above `cf_func`

and `cf_data`

slightly easier, the same inputs can be passed to the function `cf`

. It detects whether the first parameter is a function, in which case it passes everything to `cf_func`

or numeric, in which case it passes everything to `cf_data`

.

The following two plots demonstrate how `cf`

is used. Really the only benefit is that is saves you typing `_func`

or `_grid`

.

`cf(f1, xlim = c(-4*pi, 4*pi), ylim = c(-4*pi, 4*pi))`

`cf(x,y,z, bar=T)`