Dear Contributors,
I have a data of the form:
4 8 10 8590 12516
4 8 11 8641 98143
4 8 12 8705 98916
4 8 13 8750 89911
4 8 14 8685 104835
4 8 15 8629 121963
4 8 16 8676 77655
4 8 17 8577 81081
4 8 18 8593 83385
4 8 19 8642 112164
4 8 20 8708 103684
4 8 21 8622 83982
4 8 22 8593 75944
4 8 23 8600 97036
4 8 24 8650 104911
4 8 25 8730 114098
4 8 26 8731 99421
4 8 27 8715 85707
4 8 28 8717 81273
4 8 29 8739 106462
4 8 30 8684 110635
4 8 31 8713 105214
4 9 1 8771 92456
4 9 2 8759 109270
4 9 3 8762 99150
4 9 4 8730 77306
4 9 5 8780 86324
4 9 6 8804 90214
4 9 7 8797 99894
4 9 8 8863 95177
4 9 9 8873 95910
4 9 10 8827 108511
4 9 11 8806 115636
4 9 12 8869 85542
4 9 13 8854 111018
4 9 14 8571 93247
4 9 15 8533 85105
4 9 16 8553 114725
4 9 17 8561 122195
4 9 18 8532 100945
4 9 19 8560 108552
4 9 20 8634 108707
4 9 21 8646 117420
4 9 22 8633 113823
4 9 23 8680 82763
4 9 24 8765 121072
4 9 25 8756 89835
4 9 26 8750 104578
4 9 27 8790 88429
4 9 28 8824 84022
4 9 29 8843 80413
4 9 30 8795 118462
4 10 1 8795 139761
4 10 2 8805 103049
4 10 3 8826 104996
4 10 4 8841 104496
4 10 5 8882 75603
4 10 6 8865 89768
4 10 7 8875 93353
4 10 8 8898 98410
4 10 9 8920 114540
4 10 10 8937 95220
4 10 11 8926 104083
4 10 12 8912 106089
4 10 13 8898 116228
4 10 14 8926 149610
4 10 15 8954 109594
4 10 16 8941 75008
4 10 17 8952 119182
4 10 18 9003 151011
4 10 19 9002 146797
4 10 20 8995 145769
4 10 21 8969 121248
4 10 22 8954 107991
4 10 23 8992 128
4 10 24 8981 23036
4 10 25 8920 137485
4 10 26 8899 131756
4 10 27 8913 108729
4 10 28 8874 109478
4 10 29 8846 119627
4 10 30 8867 89999
4 10 31 8868 64833
4 11 1 9004 95864
4 11 2 9028 82322
4 11 3 8969 95591
4 11 4 8932 69378
4 11 5 8929 74281
4 11 6 8916 103261
4 11 7 8807 92473
4 11 8 8449 84344
4 11 9 8484 127415
4 11 10 8148 123826
4 11 11 8282 100029
4 11 12 8305 76205
4 11 13 8380 105162
4 11 14 8530 119533
4 11 15 8642 106490
4 11 16 8780 114771
4 11 17 8890 55593
4 11 18 8962 227
4 11 19 8949 109699
4 11 20 8974 86004
4 11 21 8956 74496
4 11 22 8881 109350
4 11 23 8872 134020
4 11 24 8847 105212
4 11 25 8868 91512
where columns 1= year 2004, 2 = month, 3= day, 4= CR data, 5= Lightning data.
The data range is 2004/8/10 to 2008/8/22.
With the code below:
data <- read.table("CRandWWLLNremzro", col.names =
c("year", "month",
"day", "CR","WW"))
new.century <- data$year < 50
data$year <- ifelse(new.century, data$year + 2000, data$year + 1900)
data$date <- as.Date(ISOdate(data$year, data$month, data$day))
x = data$date
CR = data$CR
WWLLN=data$WW
Year<-x
Li<-WWLLN
CR<-CR
setEPS()
postscript("twoinone2.eps")
par(mar = c(5, 4, 4, 4) + 2) # Leave space for z axis
library(plotrix)
plot(Year,Li,pch=16,axes=F,xlab="",ylab="",type="l",col="black")
axis(2, col="black",las=1) ## las=1 makes horizontal labels
mtext("Lightning Stroke/day", side=2, line=4)
#box()
par(new=TRUE)
plot(Year,CR, pch=15,
xlab="",ylab="",axes=FALSE,type="l",col="red")
mtext("GCR count/day",side=4,col="red",line=3)
axis(4, ylim=c(-7499,9684), col="red",col.axis="red",las=1)
axis(side=1) ##
mtext("YEAR",side=1,col="black",line=2.5)
mtext("Long-term Variation betwenn WWLLN and
GCRs",side=3,col="black",line=2.5)
legend("topleft",col=c("red","black"),lty=1,legend=c("GCRs","WWLLN"))
dev.off()
I got the correct axes except that the x-axis is not what I want. I
want the date to appear on the x-axis. i actually got that by using:
axis(side=1,at=c(1,400,800,1200,1500),labels=c("2004","2005","2006","2007","2008"))
But there is a little time shift, indicating that the above line may
not have been assigned correctly.
I then fiddled with axis(side=1) to see if the correct date can
naturally appear. I could not succeed.
I can attach the plot I generated. Instead of date appearing on the
x-axis, ordinary numbers appeared.
I guess the best way of getting the correct date on x-axis is to allow
the system to fix the date as data points are many. But I don't know
how to do that.
Thank you in advance for your usual kind help.
Best regards
Ogbos
Hi
If I understand correctly you want Li and CR appear in one plot with the same x
axis. Although it is not usually recommended you could use twoord.plot from
plotrix or undocumented code below.
plot.yy <- function (x, yright, yleft, yleftlim = NULL, yrightlim = NULL,
xlab = NULL, yylab = list(NA, NA), pch = c(1, 2), col = c(1, 2), linky = F,
smooth = 0, lwds = 1, length = 10, format = "%d/%m", rect = NULL,
type = "p", ...)
{
par(mar = c(5, 4, 4, 2), oma = c(0, 0, 0, 3))
plot(x, yright, ylim = yrightlim, axes = F, ylab = "", xlab =
xlab, pch = pch[1], col = col[1], type = type, ...)
if (!is.null(rect))
rect(x[rect[1]], rect[2], x[rect[3]], rect[4], col = "grey")
points(x, yright, ylim = yrightlim, ylab = "", xlab = xlab, pch =
pch[1], col = col[1], ...)
axis(4, pretty(range(yright, na.rm = T), 10), col = col[1])
if (linky)
lines(x, yright, col = col[1], ...)
if (smooth != 0)
lines(supsmu(x, yright, span = smooth), col = col[1], lwd = lwds, ...)
if (is.na(yylab[[1]]))
mtext(deparse(substitute(yright)), side = 4, outer = T, line = 1, col
= col[1], ...) else mtext(yylab[[1]], side = 4, outer = T, line = 1, col =
col[1], ...)
par(new = T)
plot(x, yleft, ylim = yleftlim, ylab = "", axes = F, xlab = xlab,
pch = pch[2], col = col[2], ...)
box()
axis(2, pretty(range(yleft, na.rm = T), 10), col = col[2],
col.axis = col[2])
if (!inherits(x, c("Date", "POSIXt")))
axis(1, pretty(range(x, na.rm = T), 10))
else {
l <- length(x)
axis(1, at = x[seq(1, l, length = length)], labels =
format(as.POSIXct(x[seq(1, l, length = length)]), format = format))
}
if (is.na(yylab[[2]]))
mtext(deparse(substitute(yleft)), side = 2, line = 2, col = col[2],
...)
else mtext(yylab[[2]], side = 2, line = 2, col = col[2], ...)
if (linky)
lines(x, yleft, col = col[2], lty = 2, ...)
if (smooth != 0)
lines(supsmu(x, yleft, span = smooth), col = col[2], lty = 2, lwd =
lwds, ...)
}
something like
plot.yy(Year, Li, CR)
Cheers
Petr
> -----Original Message-----
> From: R-help <r-help-bounces at r-project.org> On Behalf Of Ogbos
Okike
> Sent: Thursday, November 29, 2018 2:33 PM
> To: r-help <r-help at r-project.org>
> Subject: [R] Correct x-axis of two in one graph
>
> Dear Contributors,
>
> I have a data of the form:
> 4 8 10 8590 12516
> 4 8 11 8641 98143
> 4 8 12 8705 98916
> 4 8 13 8750 89911
> 4 8 14 8685 104835
> 4 8 15 8629 121963
> 4 8 16 8676 77655
> 4 8 17 8577 81081
> 4 8 18 8593 83385
> 4 8 19 8642 112164
> 4 8 20 8708 103684
> 4 8 21 8622 83982
> 4 8 22 8593 75944
> 4 8 23 8600 97036
> 4 8 24 8650 104911
> 4 8 25 8730 114098
> 4 8 26 8731 99421
> 4 8 27 8715 85707
> 4 8 28 8717 81273
> 4 8 29 8739 106462
> 4 8 30 8684 110635
> 4 8 31 8713 105214
> 4 9 1 8771 92456
> 4 9 2 8759 109270
> 4 9 3 8762 99150
> 4 9 4 8730 77306
> 4 9 5 8780 86324
> 4 9 6 8804 90214
> 4 9 7 8797 99894
> 4 9 8 8863 95177
> 4 9 9 8873 95910
> 4 9 10 8827 108511
> 4 9 11 8806 115636
> 4 9 12 8869 85542
> 4 9 13 8854 111018
> 4 9 14 8571 93247
> 4 9 15 8533 85105
> 4 9 16 8553 114725
> 4 9 17 8561 122195
> 4 9 18 8532 100945
> 4 9 19 8560 108552
> 4 9 20 8634 108707
> 4 9 21 8646 117420
> 4 9 22 8633 113823
> 4 9 23 8680 82763
> 4 9 24 8765 121072
> 4 9 25 8756 89835
> 4 9 26 8750 104578
> 4 9 27 8790 88429
> 4 9 28 8824 84022
> 4 9 29 8843 80413
> 4 9 30 8795 118462
> 4 10 1 8795 139761
> 4 10 2 8805 103049
> 4 10 3 8826 104996
> 4 10 4 8841 104496
> 4 10 5 8882 75603
> 4 10 6 8865 89768
> 4 10 7 8875 93353
> 4 10 8 8898 98410
> 4 10 9 8920 114540
> 4 10 10 8937 95220
> 4 10 11 8926 104083
> 4 10 12 8912 106089
> 4 10 13 8898 116228
> 4 10 14 8926 149610
> 4 10 15 8954 109594
> 4 10 16 8941 75008
> 4 10 17 8952 119182
> 4 10 18 9003 151011
> 4 10 19 9002 146797
> 4 10 20 8995 145769
> 4 10 21 8969 121248
> 4 10 22 8954 107991
> 4 10 23 8992 128
> 4 10 24 8981 23036
> 4 10 25 8920 137485
> 4 10 26 8899 131756
> 4 10 27 8913 108729
> 4 10 28 8874 109478
> 4 10 29 8846 119627
> 4 10 30 8867 89999
> 4 10 31 8868 64833
> 4 11 1 9004 95864
> 4 11 2 9028 82322
> 4 11 3 8969 95591
> 4 11 4 8932 69378
> 4 11 5 8929 74281
> 4 11 6 8916 103261
> 4 11 7 8807 92473
> 4 11 8 8449 84344
> 4 11 9 8484 127415
> 4 11 10 8148 123826
> 4 11 11 8282 100029
> 4 11 12 8305 76205
> 4 11 13 8380 105162
> 4 11 14 8530 119533
> 4 11 15 8642 106490
> 4 11 16 8780 114771
> 4 11 17 8890 55593
> 4 11 18 8962 227
> 4 11 19 8949 109699
> 4 11 20 8974 86004
> 4 11 21 8956 74496
> 4 11 22 8881 109350
> 4 11 23 8872 134020
> 4 11 24 8847 105212
> 4 11 25 8868 91512
> where columns 1= year 2004, 2 = month, 3= day, 4= CR data, 5= Lightning
data.
>
> The data range is 2004/8/10 to 2008/8/22.
> With the code below:
> data <- read.table("CRandWWLLNremzro", col.names =
c("year", "month",
> "day", "CR","WW"))
>
>
> new.century <- data$year < 50
>
> data$year <- ifelse(new.century, data$year + 2000, data$year + 1900)
>
> data$date <- as.Date(ISOdate(data$year, data$month, data$day))
> x = data$date
> CR = data$CR
> WWLLN=data$WW
>
> Year<-x
> Li<-WWLLN
> CR<-CR
>
> setEPS()
> postscript("twoinone2.eps")
> par(mar = c(5, 4, 4, 4) + 2) # Leave space for z axis
> library(plotrix)
>
plot(Year,Li,pch=16,axes=F,xlab="",ylab="",type="l",col="black")
> axis(2, col="black",las=1) ## las=1 makes horizontal labels
> mtext("Lightning Stroke/day", side=2, line=4)
> #box()
> par(new=TRUE)
> plot(Year,CR, pch=15,
xlab="",ylab="",axes=FALSE,type="l",col="red")
> mtext("GCR count/day",side=4,col="red",line=3)
> axis(4, ylim=c(-7499,9684),
col="red",col.axis="red",las=1)
>
>
>
> axis(side=1) ##
> mtext("YEAR",side=1,col="black",line=2.5)
> mtext("Long-term Variation betwenn WWLLN and
> GCRs",side=3,col="black",line=2.5)
>
>
>
legend("topleft",col=c("red","black"),lty=1,legend=c("GCRs","WWLLN"))
>
> dev.off()
>
> I got the correct axes except that the x-axis is not what I want. I
> want the date to appear on the x-axis. i actually got that by using:
>
axis(side=1,at=c(1,400,800,1200,1500),labels=c("2004","2005","2006","2007",
> "2008"))
>
> But there is a little time shift, indicating that the above line may
> not have been assigned correctly.
>
> I then fiddled with axis(side=1) to see if the correct date can
> naturally appear. I could not succeed.
>
> I can attach the plot I generated. Instead of date appearing on the
> x-axis, ordinary numbers appeared.
>
> I guess the best way of getting the correct date on x-axis is to allow
> the system to fix the date as data points are many. But I don't know
> how to do that.
>
> Thank you in advance for your usual kind help.
> Best regards
> Ogbos
>
> ______________________________________________
> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide
http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.
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Dear Petr,
Thank you so much for your contribution.
Let me show you what I have please.
I am attaching two plots. The first (twoineone) is my own while the
second (testrun) is plotted with the code you send.
The first is closer to my interest. The major problem I have is the
date. Those were set arbitrary with:
axis(side=1,at=c(1,400,800,1200,1500),labels=c("2004","2005","2006","2007","2008"))
and they seem not to be correct.
The second one does not show date and date is very important to me here.
Is there a way your code can implement the correct date on x-axis? I
would be very glad for further assistance.
Thank you again.
Best wishes
Ogbos
On Thu, Nov 29, 2018 at 3:03 PM PIKAL Petr <petr.pikal at precheza.cz>
wrote:>
> Hi
>
> If I understand correctly you want Li and CR appear in one plot with the
same x axis. Although it is not usually recommended you could use twoord.plot
from plotrix or undocumented code below.
>
> plot.yy <- function (x, yright, yleft, yleftlim = NULL, yrightlim =
NULL, xlab = NULL, yylab = list(NA, NA), pch = c(1, 2), col = c(1, 2),
linky = F, smooth = 0, lwds = 1, length = 10, format = "%d/%m",
rect = NULL, type = "p", ...)
> {
> par(mar = c(5, 4, 4, 2), oma = c(0, 0, 0, 3))
> plot(x, yright, ylim = yrightlim, axes = F, ylab = "", xlab =
xlab, pch = pch[1], col = col[1], type = type, ...)
> if (!is.null(rect))
> rect(x[rect[1]], rect[2], x[rect[3]], rect[4], col =
"grey")
> points(x, yright, ylim = yrightlim, ylab = "", xlab = xlab,
pch = pch[1], col = col[1], ...)
> axis(4, pretty(range(yright, na.rm = T), 10), col = col[1])
> if (linky)
> lines(x, yright, col = col[1], ...)
> if (smooth != 0)
> lines(supsmu(x, yright, span = smooth), col = col[1], lwd = lwds,
...)
> if (is.na(yylab[[1]]))
> mtext(deparse(substitute(yright)), side = 4, outer = T, line = 1,
col = col[1], ...) else mtext(yylab[[1]], side = 4, outer = T, line = 1, col =
col[1], ...)
> par(new = T)
> plot(x, yleft, ylim = yleftlim, ylab = "", axes = F, xlab =
xlab,
> pch = pch[2], col = col[2], ...)
> box()
> axis(2, pretty(range(yleft, na.rm = T), 10), col = col[2],
> col.axis = col[2])
> if (!inherits(x, c("Date", "POSIXt")))
> axis(1, pretty(range(x, na.rm = T), 10))
> else {
> l <- length(x)
> axis(1, at = x[seq(1, l, length = length)], labels =
format(as.POSIXct(x[seq(1, l, length = length)]), format = format))
> }
> if (is.na(yylab[[2]]))
> mtext(deparse(substitute(yleft)), side = 2, line = 2, col =
col[2], ...)
> else mtext(yylab[[2]], side = 2, line = 2, col = col[2], ...)
> if (linky)
> lines(x, yleft, col = col[2], lty = 2, ...)
> if (smooth != 0)
> lines(supsmu(x, yleft, span = smooth), col = col[2], lty = 2,
lwd = lwds, ...)
> }
>
> something like
>
> plot.yy(Year, Li, CR)
>
> Cheers
> Petr
>
> > -----Original Message-----
> > From: R-help <r-help-bounces at r-project.org> On Behalf Of
Ogbos Okike
> > Sent: Thursday, November 29, 2018 2:33 PM
> > To: r-help <r-help at r-project.org>
> > Subject: [R] Correct x-axis of two in one graph
> >
> > Dear Contributors,
> >
> > I have a data of the form:
> > 4 8 10 8590 12516
> > 4 8 11 8641 98143
> > 4 8 12 8705 98916
> > 4 8 13 8750 89911
> > 4 8 14 8685 104835
> > 4 8 15 8629 121963
> > 4 8 16 8676 77655
> > 4 8 17 8577 81081
> > 4 8 18 8593 83385
> > 4 8 19 8642 112164
> > 4 8 20 8708 103684
> > 4 8 21 8622 83982
> > 4 8 22 8593 75944
> > 4 8 23 8600 97036
> > 4 8 24 8650 104911
> > 4 8 25 8730 114098
> > 4 8 26 8731 99421
> > 4 8 27 8715 85707
> > 4 8 28 8717 81273
> > 4 8 29 8739 106462
> > 4 8 30 8684 110635
> > 4 8 31 8713 105214
> > 4 9 1 8771 92456
> > 4 9 2 8759 109270
> > 4 9 3 8762 99150
> > 4 9 4 8730 77306
> > 4 9 5 8780 86324
> > 4 9 6 8804 90214
> > 4 9 7 8797 99894
> > 4 9 8 8863 95177
> > 4 9 9 8873 95910
> > 4 9 10 8827 108511
> > 4 9 11 8806 115636
> > 4 9 12 8869 85542
> > 4 9 13 8854 111018
> > 4 9 14 8571 93247
> > 4 9 15 8533 85105
> > 4 9 16 8553 114725
> > 4 9 17 8561 122195
> > 4 9 18 8532 100945
> > 4 9 19 8560 108552
> > 4 9 20 8634 108707
> > 4 9 21 8646 117420
> > 4 9 22 8633 113823
> > 4 9 23 8680 82763
> > 4 9 24 8765 121072
> > 4 9 25 8756 89835
> > 4 9 26 8750 104578
> > 4 9 27 8790 88429
> > 4 9 28 8824 84022
> > 4 9 29 8843 80413
> > 4 9 30 8795 118462
> > 4 10 1 8795 139761
> > 4 10 2 8805 103049
> > 4 10 3 8826 104996
> > 4 10 4 8841 104496
> > 4 10 5 8882 75603
> > 4 10 6 8865 89768
> > 4 10 7 8875 93353
> > 4 10 8 8898 98410
> > 4 10 9 8920 114540
> > 4 10 10 8937 95220
> > 4 10 11 8926 104083
> > 4 10 12 8912 106089
> > 4 10 13 8898 116228
> > 4 10 14 8926 149610
> > 4 10 15 8954 109594
> > 4 10 16 8941 75008
> > 4 10 17 8952 119182
> > 4 10 18 9003 151011
> > 4 10 19 9002 146797
> > 4 10 20 8995 145769
> > 4 10 21 8969 121248
> > 4 10 22 8954 107991
> > 4 10 23 8992 128
> > 4 10 24 8981 23036
> > 4 10 25 8920 137485
> > 4 10 26 8899 131756
> > 4 10 27 8913 108729
> > 4 10 28 8874 109478
> > 4 10 29 8846 119627
> > 4 10 30 8867 89999
> > 4 10 31 8868 64833
> > 4 11 1 9004 95864
> > 4 11 2 9028 82322
> > 4 11 3 8969 95591
> > 4 11 4 8932 69378
> > 4 11 5 8929 74281
> > 4 11 6 8916 103261
> > 4 11 7 8807 92473
> > 4 11 8 8449 84344
> > 4 11 9 8484 127415
> > 4 11 10 8148 123826
> > 4 11 11 8282 100029
> > 4 11 12 8305 76205
> > 4 11 13 8380 105162
> > 4 11 14 8530 119533
> > 4 11 15 8642 106490
> > 4 11 16 8780 114771
> > 4 11 17 8890 55593
> > 4 11 18 8962 227
> > 4 11 19 8949 109699
> > 4 11 20 8974 86004
> > 4 11 21 8956 74496
> > 4 11 22 8881 109350
> > 4 11 23 8872 134020
> > 4 11 24 8847 105212
> > 4 11 25 8868 91512
> > where columns 1= year 2004, 2 = month, 3= day, 4= CR data, 5=
Lightning data.
> >
> > The data range is 2004/8/10 to 2008/8/22.
> > With the code below:
> > data <- read.table("CRandWWLLNremzro", col.names =
c("year", "month",
> > "day", "CR","WW"))
> >
> >
> > new.century <- data$year < 50
> >
> > data$year <- ifelse(new.century, data$year + 2000, data$year +
1900)
> >
> > data$date <- as.Date(ISOdate(data$year, data$month, data$day))
> > x = data$date
> > CR = data$CR
> > WWLLN=data$WW
> >
> > Year<-x
> > Li<-WWLLN
> > CR<-CR
> >
> > setEPS()
> > postscript("twoinone2.eps")
> > par(mar = c(5, 4, 4, 4) + 2) # Leave space for z axis
> > library(plotrix)
> >
plot(Year,Li,pch=16,axes=F,xlab="",ylab="",type="l",col="black")
> > axis(2, col="black",las=1) ## las=1 makes horizontal labels
> > mtext("Lightning Stroke/day", side=2, line=4)
> > #box()
> > par(new=TRUE)
> > plot(Year,CR, pch=15,
xlab="",ylab="",axes=FALSE,type="l",col="red")
> > mtext("GCR count/day",side=4,col="red",line=3)
> > axis(4, ylim=c(-7499,9684),
col="red",col.axis="red",las=1)
> >
> >
> >
> > axis(side=1) ##
> > mtext("YEAR",side=1,col="black",line=2.5)
> > mtext("Long-term Variation betwenn WWLLN and
> > GCRs",side=3,col="black",line=2.5)
> >
> >
> >
legend("topleft",col=c("red","black"),lty=1,legend=c("GCRs","WWLLN"))
> >
> > dev.off()
> >
> > I got the correct axes except that the x-axis is not what I want. I
> > want the date to appear on the x-axis. i actually got that by using:
> >
axis(side=1,at=c(1,400,800,1200,1500),labels=c("2004","2005","2006","2007",
> > "2008"))
> >
> > But there is a little time shift, indicating that the above line may
> > not have been assigned correctly.
> >
> > I then fiddled with axis(side=1) to see if the correct date can
> > naturally appear. I could not succeed.
> >
> > I can attach the plot I generated. Instead of date appearing on the
> > x-axis, ordinary numbers appeared.
> >
> > I guess the best way of getting the correct date on x-axis is to allow
> > the system to fix the date as data points are many. But I don't
know
> > how to do that.
> >
> > Thank you in advance for your usual kind help.
> > Best regards
> > Ogbos
> >
> > ______________________________________________
> > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see
> > https://stat.ethz.ch/mailman/listinfo/r-help
> > PLEASE do read the posting guide
http://www.R-project.org/posting-guide.html
> > and provide commented, minimal, self-contained, reproducible code.
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