How to use the function "plot" as Matlab
On 13-Jul-05 Prof Brian Ripley wrote:
For most purposes it is easiest to use matplot() to plot superimposed plots like this. E.g. x <- 0.1*(0:20) matplot(x, cbind(sin(x), cos(x)), "pl", pch=1)
This, and Robin's suggestion, are good practical solutions especially when only a few graphs (2 or 3 or ... ) are involved. However, their undelying principle is to accumulate auxiliary variables encapsulating the graphs which will eventually be plotted. However, once in a while I like to make a really messy graph of superimposed sample paths of a simulated stochastic process, perhaps with several dozen replications and many points (even 5000) along each sample path. An example where this has a real practical point is diffusion from the chimney stack of, say, an incinerator. The resulting plot can give a good picture of the "average plume", allowing the viewer to form an impression of the variation in concentration along and on the fringes of the plume. This is definitely a case where "dynamic rescaling" could save hassle! Brian Ripley's suggestion involves first building a matrix whose columns are the replications and rows the time-points, and Robin Hankin's could be easily adapted to do the same, though I think would involve a loop over columns and some very long vectors. How much easier it would be with dynamic scaling! Best wishes, Ted.
On Wed, 13 Jul 2005, Robin Hankin wrote:
Hi Ted makes a good point... matlab can dynamically rescale a plot in response to plot(...,add=TRUE) statements. For some reason which I do not understand, the rescaling issue is only a problem for me when working in "matlab mode". It's not an issue when working in "R mode" Ted pointed out that the following does not behave as intended:
x = 0.1*(0:20); plot(x,sin(x)) lines(x,1.5*cos(x))
and presented an alternative method in which ylim was set by hand. I would suggest: x <- 0.1*(0:20) y1 <- sin(x) y2 <- 1.5*cos(x) plot(c(x,x),c(y1,y2),type="n") lines(x,y1) lines(x,y2) because this way, the axes are set by the plot() statement, but nothing is plotted. best wishes rksh On 13 Jul 2005, at 09:12, (Ted Harding) wrote:
Although this is an over-worked query -- for which an answer, given
that t="l" has been specified, is to use
plot(a,t="l",col="blue",ylim=c(0,10))
lines(b,t="l",col="red")
there is a more interesting issue associated with it (given that
Klebyn has come to it from a Matlab perspective).
It's a long time since I used real Matlab, but I'll illustrate
with octave which, in this respect, should be identical to Matlab.
Octave:
octave:1> x = 0.1*(0:20);
octave:2> plot(x,sin(x))
produces a graph of sin(x) with the y-axis scaled from 0 to 1.0
Next:
octave:3> hold on
octave:4> plot(x,1.5*cos(x))
superimposes a graph of 1.5*cos(x) with the y-axis automatically
re-scaled from -1 to 1.5.
This would not have happened in R with
x = 0.1*(0:20);
plot(x,sin(x))
lines(x,1.5*cos(x))
where the 0 to 1.0 scaling of the first plot would be kept for
the second, in which therefore part of the additional graph of
1.5*cos(x) would be "outside the box".
No doubt like many others, I've been caught on the wrong foot
by this more than a few times. The solution, of course (as
illustrated in the reply to Klebyn above) is to anticipate
what scaling you will need for all the graphs you intend to
put on the same plot, and set up the scalings at the time
of the first one using the options "xlim" and "ylim", e.g.:
x = 0.1*(0:20);
plot(x,sin(x),ylim=c(-1,1.5))
lines(x,1.5*cos(x))
This is not always feasible, and indeed should not be expected
to be feasible since part of the reason for using software
like R in the first place is to compute what you do not know!
Indeed, R will not allow you to use "xlim" or "ylim" once the
first plot has been drawn.
So in such cases I end up making a note (either on paper or,
when I do really serious planning, in auxiliary variables)
of the min's and max's for each graph, and then re-run the
plotting commands with appropriate "xlim" and "ylim" scaling
set up in the first plot so as to include all the subsequent
graphs in entirety. (Even this strategy can be defeated if
the succesive graphs represent simulations of long-tailed
distributions. Unless of course I'm sufficiently alert to
set the RNG seed first as well ... )
I'm not sufficiently acquainted with the internals of "plot"
and friends to anticipate the answer to this question; but,
anyway, the question is:
Is it feasible to include, as a parameter to "plot", "lines"
and "points",
rescale=FALSE
where this default value would maintain the existing behaviour
of these functions, while setting
rescale=TRUE
would allow each succeeding plot, adding graphs using "points"
or "lines", to be rescaled (as in Matlab/Octave) so as to
include the entirety of each successive graph?
Best wishes to all,
Ted.
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E-Mail: (Ted Harding) <Ted.Harding at nessie.mcc.ac.uk>
Fax-to-email: +44 (0)870 094 0861
Date: 13-Jul-05 Time: 09:12:34
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-- Robin Hankin Uncertainty Analyst National Oceanography Centre, Southampton European Way, Southampton SO14 3ZH, UK tel 023-8059-7743
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-- Brian D. Ripley, ripley at stats.ox.ac.uk Professor of Applied Statistics, http://www.stats.ox.ac.uk/~ripley/ University of Oxford, Tel: +44 1865 272861 (self) 1 South Parks Road, +44 1865 272866 (PA) Oxford OX1 3TG, UK Fax: +44 1865 272595
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