Re: Plot axis length and size ratio (TwoPlot revive)

*To*: mathgroup at smc.vnet.net*Subject*: [mg121619] Re: Plot axis length and size ratio (TwoPlot revive)*From*: Ray Koopman <koopman at sfu.ca>*Date*: Thu, 22 Sep 2011 07:27:01 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <j5781h$jac$1@smc.vnet.net>

On Sep 19, 4:11 am, matyigtm <matyi... at gmail.com> wrote: > Hi, > > I want to combine two plots with the same "x" axis into one graphic. > Because the two plots have different magnitude, I choosed the "Inset" > command inside of one of the two plots. I want to put the two "y" axes > on left and right for the two plots, resp. (aka. TwoPlot) > My problem is that the two plots take different sizes when the numbers > written at the ticks on the "y" axis get different length, or when > AxesLabel is used. I've understood the the area of the plot is > extended by PlotRangePadding and with ImagePadding, but I cannot > retrieve the latter from the plots to get the right sizes. > > The Inset command help a lot to position the origins of the two plots, > but its "size" parameter looses any relation to the coordinates used > in the plots. > > The following example illustrates the problem, the hardcoded number > 1.045 is to be programmed to give good results. > > plt2 = Plot[x (x - 10) Cos[x], {x, 0, 10}, PlotStyle -> Red, > AxesOrigin -> {10, 0}, AxesStyle -> Red]; > Plot[x Sin[x], {x, 0, 10}, Epilog -> Inset[plt2, {0, 0}, {0, 0}, 10 * > 1.045] > > Any idea to align the two plots is appreciated, > Matyi It may take a little messing around to get values of shift, scale, and tix that give you what you want, but something like this might work for you. With[{shift = 0, scale = .2, tix = Range[-20,20,5]}, Plot[{x Sin[x], shift + scale * x(x-10)Cos[x]},{x,0,10}, PlotStyle->{Black,Orange}, Frame->True, FrameLabel->{None, "x Sin[x] (black)", None, "x (x-10) Cos[x] (orange)"}, FrameTicks->{Automatic, Automatic, None, {shift+scale*#,#}&/@tix}]]

**Follow-Ups**:**Error Message on Magnification***From:*"Tong Shiu-sing" <sstong@phy.cuhk.edu.hk>