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Re: How to get data from solvin' numerically differential

Hi Mikhail,

The easiest probably is to use Put to store the definition
(InterpolatingFunction object), and later Get to load it into another
Mathematica session. I use it all the time and it works really well for me.

Here is a working example which will likely work on your machine without any
modification (provided that you have the administrator rights - you may want
to alter the base directory through the BaseDirectory option, I set it to
$UserBaseDirectory by default). The code below makes a few utility functions
to conveniently work with temporary (test) directories

ClearAll[dirExistsQ, createTestDir, removeTestDir, getBaseDir,

Options[dirExistsQ] = Options[createTestDir] = Options[removeTestDir] =
     Options[getBaseDir] = {BaseDirectory -> $UserBaseDirectory};

getBaseDir[OptionsPattern[]] :=
  If[# === $UserBaseDirectory,
     ToFileName[{#, "Applications"}],
     #] &[OptionValue[BaseDirectory]];

dirExistsQ[dirName_String, opts : OptionsPattern[]] :=
  Select[FileNames["*", {getBaseDir[opts]}],
    FileType[#] === Directory &&
      Last[FileNameSplit[#]] === dirName &] =!= {};

createTestDir::exists = "The directory `1` already exists";
createTestDir[dirName_String, opts : OptionsPattern[]] /; !
    dirExistsQ[dirName, opts] :=
  CreateDirectory[ToFileName[{getBaseDir[opts], dirName}]];
createTestDir[dirName_String, opts : OptionsPattern[]] :=
 (Message[createTestDir::exists, dirName];
  ToFileName[{getBaseDir[opts], dirName}])

removeTestDir::nodir = "No directory was found with the name `1`";
removeTestDir[dirName_String, opts : OptionsPattern[]] /;
   dirExistsQ[dirName, opts] :=
  DeleteDirectory[ToFileName[getBaseDir[opts], dirName],
   DeleteContents -> True];
removeTestDir[dirName_String, OptionsPattern[]] :=
  "never happens" /; Message[removeTestDir::nodir, dirName];

The example proper:


Out[1]= InterpolatingFunction[{{0.,6.28319}},<>]

In[2]:= Plot[f[x],{x,0,2Pi}]

Output suppressed

In[3] =
(* Create a test directory if it does not exist, and choose a test file name
testdir = createTestDir["Test"];
testfile = "testFile.dat";
testfileName = ToFileName[testdir, testfile];

(* Save your definition *)
Put[f, testfileName];

The following code models another Mathematica session (you may indeed
restart Mathematica but then you will have to re-run the In[3] code to
define testfileName, or indicate it by hand )

In[4] :=
g = Get[testfileName]

Out[4] =

In[5] = Plot[g[x], {x, 0, 2 Pi}]

Output suppressed

Remove the test directory if it is no longer needed

In[6] = removeTestDir["Test"]

Of course, normally you know the directory where you want to store your
so you just use Put and Get. I posted the above code just to provide a
self-contained working example independent of a particular machine or
directory structure.

In some cases (but probably not in this one), particularly when you want to
save the definitions of a DownValues or SubValues-based functions (or
generally, some global definitions), using Save instead of Put may be more

Hope this helps.


2009/10/20 =D0=9C=D0=B8=D1=85=D0=B0=D0=B8=D0=BB =D0=A8=D0=B0=D0=BB=D0=B0=D0=
=B3=D0=B8=D0=BD=D0=BE=D0=B2 <shalm89 at>

> Hi,
> Mathematica solves numerically differential equation and makes
> interpolation. I can plot this interpolating function. Can I save all
> the points in a file or somehow get this data?
> Best regards, Mikhail Shalaginov.

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