[R] srt --- slope text with function?

[ivo welch]

Some more experimentation reveals that I need to also adjust for the
plot dimensions.  (And there are other issues I probably do not know
yet and totally misprogrammed...just trying to be helpful.)

native.slope <- function( x, y, where.i,
			 xlim = par()$xaxp, ylim= par()$yaxp,
			 asp.ratio = (par()$fin)[1]/(par()$fin)[2],
			 debug =0) {
  if (where.i<=1) { return(0); }
  if (where.i>=length(y)) { return(0); }
  if (length(x)!=length(y)) {
    stop("native.slope: Sorry, but x and y must have equal dimensions,
not ", length(x), " and ", length(y), "\n"); }

  # native slope in a 1:1 coordinate system
  d= ( (y[where.i-1]-y[where.i+1])/(x[where.i-1]-x[where.i+1]) );
  if (is.na(d)) return(0); # we do not know how to handle an undefined
spot at a function!

  d.m= (ylim[2]-ylim[1])/(xlim[2]-xlim[1]); # now adjust by the axis scale
  if (is.na(d)) stop("native.slope: internal error, I do not have
sensible axis dimensions (", xlim, ylim, ")\n");

  if (is.na(asp.ratio)) stop("native.slope: internal error, I do not
have a reasonable drawing aspect ratio");

  ## alas, we also need to take into account the plot region:
  pq= par()$plt; plt.distort= (pq[2]-pq[1])/(pq[4]-pq[3]);

  net.slope= d/asp.ratio/d.m / plt.distort;

  slope = atan(net.slope)/pi*180.0;


  if (debug) {
    cat("xlim=", par()$xaxp, "\n");
    cat("ylim=", par()$yaxp, "\n\n");

    cat("native.slope: d=", d, " (",y[where.i-1],y[where.i+1],
x[where.i-1], x[where.i+1],")",
	"d.m=",d.m, " (", ylim[2],ylim[1],xlim[2],xlim[1], ")",
	"asp.ratio=", (par()$fin)[1], ":", (par()$fin)[2], "==>", net.slope,
"=", slope, "deg\n");
  }

  return( slope = slope );
}





On 2/4/06, ivo welch <ivowel at gmail.com> wrote:
> Thank you, Duncan.  This led me to the info I needed.  Here is a
> simple utility function that does what I needed---maybe it will come
> in helpful for others.
>
> ################################################################
> #### native.slope computes a suitable srt from a function around
> #### a point on a function.  This is useful until text() gets
> #### an srt parameter that is relative to the coordinate system.
> ####   (Ideally, R would be able to slope along a function.)
> ################################################################
>  [old function deleted]
>
> # some test code
> x<- seq(-10,20,by=0.1)
> y<- x*x;
>
> plot( x, y, type="l" );
>
> display= ((1:length(y))%%40 == 0)
>
> for (i in 1:(length(y))) {
>   if (display[i]) {
>     points(x[i],y[i], pch=19);
>     srt= native.slope( x, y, i );
>     text( x[i], y[i], paste(i,"=",x[i],"=",srt), srt=srt, cex=0.9 );
>   }
> }
>
>
>
> On 2/4/06, Duncan Murdoch <murdoch at stats.uwo.ca> wrote:
> > On 2/4/2006 3:50 PM, ivo welch wrote:
> > > [resent, plus small addition; I do not understand why gmail sent a
> > > weird charset.]
> > >
> > > Dear R wizards:
> > >
> > > I would love to write a general function that matches the slope of a plotted
> > > line in an xy-plot at a particular x,y location.  something like
> > >
> > >    x<- (1:10)^2; y<- 40:50;
> > >    plot( x,y, type="l", xlim=c(0,90) )
> > >    srt.at5 = text.at.current.plot.with.slope( x, y,  5);
> > >    text( x[5],y[5], pos=3, srt=srt.at.5);
> > >
> > > to do this, I first need to compute the function slope around x[5], which is
> > > an easy task.  alas, the harder task is that I need to scale this by the
> > > plot aspect ratio and the axes.  How can a function read this from the
> > > current plot?
> >
> > I haven't done this, but you can presumably work it out from the
> > conversions implied by the "fig", "fin", "plt", and/or "usr" values.
> > >
> > > (Has someone written such a function, perhaps more embellished, to save me
> > > the debugging effort?)
> > >
> > > Or, is there an alternative to srt, which slopes the text relative to the
> > > existing scale?
> > >
> > >   *** come to think of it, what I would really like is the ability of
> > > text to 'snake' itself along the line itself.  I doubt that this is
> > > easily possible, but I just wanted to ask.
> >
> > Using strsplit and strwidth you should be able to do it, but it will
> > probably look quite ugly.
> >
> > Duncan Murdoch
> >
>