honest plotting using Mathematica 2.0 RealIntervals

*To*: mathgroup at yoda.physics.unc.edu*Subject*: honest plotting using Mathematica 2.0 RealIntervals*From*: fateman at peoplesparc.berkeley.edu (Richard Fateman)*Date*: Thu, 13 Feb 92 16:08:40 PST*Cc*: fateman at peoplesparc.berkeley.edu

OK, you can get, by anonymous ftp from peoplesparc.berkeley.edu (128.32.131.14), stuff about plotting using intervals. plotinterval.m realinterval.m and plotpaper.ps.Z (the latter is a paper, and is compressed.) The file realinterval.m shows the kind of patching over that was needed to make Mathematica work up to some primitive standard. The file plotinterval.m should show the kinds of gyrations necessary to change the plot package. No warranties on anything. There are other ideas we are pursuing that use divided difference for much better adaptive plots, but the code is even rougher, and I'm not willing to send it out yet. I've also written a 3-D analog of adaptive plotting of surfaces, that chooses more mesh points near rapidly changing places, also quite roughly coded. There are far better programs that Mathematica for doing this particular task, since the built-in surface display is defined on a rectangular mesh, not locally subdivisible. Richard Fateman, UC Berkeley