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The htmlTable package is intended for generating
tables using HTML
formatting. This format is compatible with Markdown when used for
HTML-output. The most basic table can easily be created by just passing
a matrix
or a data.frame
to the
htmlTable
-function:
library(htmlTable)
library(magrittr)
# A simple output
matrix(1:4,
ncol = 2,
dimnames = list(c("Row 1", "Row 2"),
c("Column 1", "Column 2"))) %>%
htmlTable
Column 1 | Column 2 | |
---|---|---|
Row 1 | 1 | 3 |
Row 2 | 2 | 4 |
The function is also aware of the dimnames:
# A simple output
matrix(1:4,
ncol = 2,
dimnames = list(rows = c("Row 1", "Row 2"),
cols = c("Column 1", "Column 2"))) %>%
htmlTable
cols | ||
---|---|---|
Column 1 | Column 2 | |
rows | ||
Row 1 | 1 | 3 |
Row 2 | 2 | 4 |
This can be convenient when working with the base::table
function:
gear | ||||||
---|---|---|---|---|---|---|
3 | 4 | 5 | Sum | |||
cyl | ||||||
4 | 1 | 8 | 2 | 11 | ||
6 | 2 | 4 | 1 | 7 | ||
8 | 12 | 0 | 2 | 14 | ||
Sum | 15 | 12 | 5 | 32 |
As of version 1.1 you no longer need to specify
results='asis'
for each knitr
chunk.
Tip: If you are working a lot with
dplyr
and the tidyverse
approach to exploring
data you can make your life much easier using the
tidyHtmlTable()
function included in this package that
automatically calculates the rgroup
, cgroup
and other parameters that make htmlTable
so useful.
Cell alignment is specified through the align
,
align.header
, align.cgroup
arguments. For
aligning the cell values just use align
. The argument can
accept either a vector or a string, although supplying it with a string
is the simplest option as in the example below:
1:3 %>%
addHtmlTableStyle(align = "lcr") %>%
htmlTable(rnames = "Row 1",
header = c("'l' = left", "'c' = center", "'r' = right"),
caption = "The alignment is set through the align options. Available alternatives are l, r, c as designated by the below table.")
‘l’ = left | ‘c’ = center | ‘r’ = right | |
---|---|---|---|
Row 1 | 1 | 2 | 3 |
The alignment is set through the align options. Available alternatives are l, r, c as designated by the below table. |
Note that you can specify a string shorter than the number of
columns. This can be useful if you have plenty of columns and you simply
want all remaining columns to keep the alignment of the last column. To
align the row name you can just add another letter to the string while
the header is aligned through the align.header
argument:
1:3 %>%
addHtmlTableStyle(align = "clcr",
align.header = "lcr") %>%
htmlTable(rnames = "Row 1",
header = c("'l' = left", "'c' = center", "'r' = right"),
caption = "The alignment is set through the align options. Available alternatives are l, r, c as designated by the below table.")
‘l’ = left | ‘c’ = center | ‘r’ = right | |
---|---|---|---|
Row 1 | 1 | 2 | 3 |
The alignment is set through the align options. Available alternatives are l, r, c as designated by the below table. |
While it may be sufficient for basic tables a more advanced layout is often needed in medical articles with elements such as:
As many journals require that a MS Word-document is submitted it is
furthermore also important that the table imports correctly to a word
processor, i.e. that the table also looks nice in the final document not
only in the browser. The htmlTable
-function is written for
all these purposes.
For demonstration purposes we will setup a basic matrix:
mx <- matrix(ncol = 6, nrow = 8)
rownames(mx) <- paste(c("1st", "2nd",
"3rd",
paste0(4:8, "th")),
"row")
colnames(mx) <- paste(c("1st", "2nd",
"3rd",
paste0(4:6, "th")),
"hdr")
for (nr in 1:nrow(mx)) {
for (nc in 1:ncol(mx)) {
mx[nr, nc] <-
paste0(nr, ":", nc)
}
}
The purpose of the row groups is to group variables that belong to the same group, e.g. a factored variable with more than two levels often benefit from grouping variables together.
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
Group A | ||||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
Group B | ||||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
Group C | ||||||
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
We can easily mix row groups with regular variables by having an
empty row group name ""
:
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
Group A | ||||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
Group B | ||||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
When mixing row groups with variables without row groups we may want to omit the bold formatting of the row group label:
mx %>%
addHtmlTableStyle(css.rgroup = "") %>%
htmlTable(rgroup = c(paste("Group", LETTERS[1:2]), ""),
n.rgroup = c(2,4,nrow(mx) - 6))
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
Group A | ||||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
Group B | ||||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
The rgroup
is most commonly a single row without any
additional cells but sometimes you may want to have a p-value or similar
at the end of the row. This can be achieved by setting the ‘add’
attribute to the rgroup
:
rgroup <- c(paste("Group", LETTERS[1:2]), "")
attr(rgroup, "add") <- list(`2` = "More")
htmlTable(mx,
rgroup = rgroup,
n.rgroup = c(2,4,nrow(mx) - 6))
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
Group A | ||||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
Group B | More | |||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
A column spanner spans 2 or more columns:
Cgroup 1 | Cgroup 2 | |||||||
---|---|---|---|---|---|---|---|---|
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 | ||
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 | ||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 | ||
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 | ||
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 | ||
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 | ||
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 | ||
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
It can sometimes be convenient to have column spanners in multiple levels:
htmlTable(mx,
cgroup = rbind(c("", "Column spanners", NA),
c("", "Cgroup 1", "Cgroup 2")),
n.cgroup = rbind(c(1,2,NA),
c(2,2,2)))
Column spanners | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|
Cgroup 1 | Cgroup 2 | |||||||||
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 | ||||
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 | ||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 | ||||
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 | ||||
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 | ||||
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 | ||||
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 | ||||
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
Above example allows the column spanner to be a sum of the underlying
cgroups (see n.cgroup), this is not required by the function and you can
also provide a list
with elements that allows you to skip
the NA
at the end of the matrix:
htmlTable(mx,
cgroup = list(c("Super column spanner", ""),
c("", "Another cgroup"),
c("", "Cgroup 1", "Cgroup 2")),
n.cgroup = list(c(5,1),
c(1,2),
c(2,2,2)))
Super column spanner | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Another cgroup | ||||||||||||
Cgroup 1 | Cgroup 2 | |||||||||||
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |||||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 | ||||||
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 | ||||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 | ||||||
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 | ||||||
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 | ||||||
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 | ||||||
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 | ||||||
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
A table spanner is similar to rgroup but has the primary purpose of combining 2 or more tables with the same columns into one:
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
Spanner A | ||||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
Spanner B | ||||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
Spanner C | ||||||
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
Note that you actually don’t need the last n.tspanner
,
i.e. you can simplify the above to:
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
Spanner A | ||||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
Spanner B | ||||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
Spanner C | ||||||
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
Similarly you can use the number rgroups included in each tspanner instead of actual rows. This is convenient as the tspannners must align with underlying rgroups.
Many financial tables use the concept of a total row at the end that sums the above elements:
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
This can also be combined with table spanners:
mx %>%
addHtmlTableStyle(css.total = c("border-top: 1px dashed grey;",
"border-top: 1px dashed grey;",
"border-top: 1px solid grey; font-weight: 900")) %>%
htmlTable(total = "tspanner",
tspanner = paste("Spanner", LETTERS[1:3]),
n.tspanner = c(2,4,nrow(mx) - 6))
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
Spanner A | ||||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
Spanner B | ||||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
Spanner C | ||||||
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
The htmlTable has built-in numbering, initialized by:
1st hdr | 2nd hdr | |
---|---|---|
1st row | 1:1 | 1:2 |
2nd row | 2:1 | 2:2 |
Table 1: A table caption with a numbering |
As we often want to reference the table number in the text there are two associated functions:
## [1] 1
## [1] 2
1st hdr | 2nd hdr | |
---|---|---|
1st row | 1:1 | 1:2 |
2nd row | 2:1 | 2:2 |
Table 2: Another table with numbering |
If you want to start the counter at 2 you can instead of setting
table_counter to TRUE
set it to 1. Note that you need to
set the value to one less as each time the table is called the counter
is incremented by one. You can also turn off the feature by:
Zebra coloring is also know as an alternating color pattern or row shading. It is most commonly applied to rows:
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
The zebra coloring in htmlTable
is unique in that it
follows the rgroups. The zebra striping is centered around the rgroup
although rows with no set rgroup, i.e. “” will have alternating colors
event though they programatically are within the same group:
mx %>%
addHtmlTableStyle(col.rgroup = c("none", "#F7F7F7")) %>%
htmlTable(rgroup = c(paste("Group", LETTERS[1:2]), ""),
n.rgroup = c(2,2,nrow(mx) - 4))
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
Group A | ||||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
Group B | ||||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
We can also color the columns:
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
Or do both (note that the colors blend at the intersections):
mx %>%
addHtmlTableStyle(col.rgroup = c("none", "#F9FAF0"),
col.columns = c("none", "#F1F0FA")) %>%
htmlTable
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |
---|---|---|---|---|---|---|
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 |
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 |
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 |
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 |
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 |
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 |
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 |
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 |
Now if we want to do everything in one table it may look like this:
rgroup = paste("Group", LETTERS[1:3])
attr(rgroup, "add") <- list(`3` = "Group p-value < 0.001")
mx %>%
addHtmlTableStyle(align = "rr|r",
align.header = "cc|c",
spacer.celltype = "double_cell",
col.columns = c(rep("none", 2),
rep("#F5FBFF", 4)),
col.rgroup = c("none", "#F7F7F7"),
css.cell = "padding-left: .5em; padding-right: .2em;",
css.header = "font-weight: normal") %>%
htmlTable(rgroup = rgroup,
n.rgroup = c(2,4),
tspanner = paste("Spanner", LETTERS[1:2]),
n.tspanner = c(1),
cgroup = list(c("", "Column spanners"),
c("", "Cgroup 1", "Cgroup 2†")),
n.cgroup = list(c(1,5),
c(2,2,2)),
caption = "A table with column spanners, row groups, and zebra striping",
tfoot = "† A table footer commment",
cspan.rgroup = 2)
Column spanners | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Cgroup 1 | Cgroup 2† | |||||||||||
1st hdr | 2nd hdr | 3rd hdr | 4th hdr | 5th hdr | 6th hdr | |||||||
Spanner A | ||||||||||||
Group A | ||||||||||||
1st row | 1:1 | 1:2 | 1:3 | 1:4 | 1:5 | 1:6 | ||||||
2nd row | 2:1 | 2:2 | 2:3 | 2:4 | 2:5 | 2:6 | ||||||
Spanner B | ||||||||||||
Group B | ||||||||||||
3rd row | 3:1 | 3:2 | 3:3 | 3:4 | 3:5 | 3:6 | ||||||
4th row | 4:1 | 4:2 | 4:3 | 4:4 | 4:5 | 4:6 | ||||||
5th row | 5:1 | 5:2 | 5:3 | 5:4 | 5:5 | 5:6 | ||||||
6th row | 6:1 | 6:2 | 6:3 | 6:4 | 6:5 | 6:6 | ||||||
Group C | Group p-value < 0.001 | |||||||||||
7th row | 7:1 | 7:2 | 7:3 | 7:4 | 7:5 | 7:6 | ||||||
8th row | 8:1 | 8:2 | 8:3 | 8:4 | 8:5 | 8:6 | ||||||
A table with column spanners, row groups, and zebra striping | ||||||||||||
† A table footer commment |
These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.