Calculus constructions mix explicit calls to maxima

[robertwb]

See http://www.sagemath.org.nyud.net/doc/constructions/calculus.html

[wdj]

From an email [sage-support] error in documentation "Construction" on 2010-01-15:

Hi everyone,

I just checked out one of  first page in the "Constructions" page:

http://www.sagemath.org.nyud.net/doc/constructions/calculus.html

Just after the first example "Differentiation"

sage: var('x k w')
(x, k, w)
sage: f = x^3 * e^(k*x) * sin(w*x); f
x^3*e^(k*x)*sin(w*x)
sage: f.diff(x)
k*x^3*e^(k*x)*sin(w*x) + w*x^3*e^(k*x)*cos(w*x) + 3*x^2*e^(k*x)*sin
(w*x)
sage: latex(f.diff(x))
k x^{3} e^{\left(k x\right)} \sin\left(w x\right) + w x^{3} e^{\left(k
x\right)} \cos\left(w x\right) + 3 \, x^{2} e^{\left(k x\right)} \sin
\left(w x\right)

there is

"If you type view(f.diff('x')) another... "

When I do that, I get a long error message, which could frighten off
(it is the first example...). With "view(f.diff(x))" it works.
However, if the function is defined via

f = maxima(....)

then both ways work:   view(f.diff('x')),  view(f.diff(x))

I don't know if this is intended, but at least on the website it
should be changed, not to get the error.

Greets,
Stefan

[mvngu]

apply to sage-main; based on Sage 4.3.1.alpha2

[mvngu]

apply to examples/ repository; based on Sage 4.3.1.alpha2

[mvngu]

Here are two patches, which should fix errors in the calculus chapter of the Constructions document. Apply the patch trac_7936-constructions.patch to the repository sage-main. The second patch applies to the examples/ directory, which is separate from sage-main. But before applying the second patch, the release manager needs to remove a junk file:

[mvngu@boxen examples]$ pwd
/dev/shm/mvngu/sage-4.3.1.alpha2-7936-maxima/examples
[mvngu@boxen examples]$ hg st
? .hgtags.orig
[mvngu@boxen examples]$ rm .hgtags.orig 
[mvngu@boxen examples]$ hg st

[robertwb]

It would be really nice if that whole constructions page could be written without any explicit calls to maxima at all--not sure how much of that is possible, but for derivatives, integrals, and power series it certainly is.

Also, nearly every example involves Piecewise, which doesn't play nicely with all the symbolic stuff (nor does it make for concise examples).

[kcrisman]

The constructions document is quasi-deprecated in any case, as it dates from over two years ago, I believe. wdj wanted to make a new 'cookbook' document which replaced it, but no one has had time to do so. Of course, if the whole constructions document were updated, that would be great! I agree that if one is serious about that, though, one would have to remove Piecewise stuff, as at the time that was one of the better-implemented function types but now is waiting on someone to add them to Pynac.

[was]

The constructions document is quasi-deprecated in any case, as it dates from over two years ago,

Two years? It from at least *four* years ago! It was mostly written around the time of Sage 1.0, or earlier. It needs a total rewrite. When it was written, explicit calls to maxima were the only way to do any calculus.

[kcrisman]

Replying to was:

The constructions document is quasi-deprecated in any case, as it dates from over two years ago,

Two years? It from at least *four* years ago! It was mostly written around the time of Sage 1.0, or earlier. It needs a total rewrite. When it was written, explicit calls to maxima were the only way to do any calculus.

Like I said, over two years ago :)

[mvngu]

Is this fixed by #8132?

[wdj]

Replying to mvngu:

Is this fixed by #8132?

No, unfortunately, I don't think so.

I give a positive review to the first patch. I don't understand the second patch. I'm giving the first a positive review though. Fell free to reverse my vote back to needs review, but I'm marking it for now as needs info. The instructions for patch 2 are just completely unclear to me.

[mvngu]

Replying to wdj:

I give a positive review to the first patch.

I think the attachment ​trac_7936-constructions.patch is now superseded by #8132. No need to use that patch anymore.

I don't understand the second patch. The instructions for patch 2 are just completely unclear to me.

Without the attachment ​trac_7936-desolvers.patch applied to the repository examples/calculus, I get an error when loading the file desolvers.sage:

[mvngu@mod calculus]$ pwd
/dev/shm/mvngu/sage-4.3.2.alpha1-sage.math/examples/calculus
[mvngu@mod calculus]$ ls
desolvers.py    eulers_method.sage  newton_raphson.sage
desolvers.sage  field_plot2d.sage   README.txt
[mvngu@mod calculus]$ ../../sage
----------------------------------------------------------------------
| Sage Version 4.3.2.alpha1, Release Date: 2010-01-31                |
| Type notebook() for the GUI, and license() for information.        |
----------------------------------------------------------------------
**********************************************************************
*                                                                    *
* Warning: this is a prerelease version, and it may be unstable.     *
*                                                                    *
**********************************************************************
sage: load "desolvers.sage"
------------------------------------------------------------
   File "<string>", line 147
     #maxima.eval(cmd)
                     ^
SyntaxError: invalid syntax

Now apply the patch ​trac_7936-desolvers.patch to the repository examples/calculus to resolve this syntax error:

[mvngu@mod calculus]$ hg qimport http://trac.sagemath.org/sage_trac/raw-attachment/ticket/7936/trac_7936-desolvers.patch && hg qpush
adding trac_7936-desolvers.patch to series file
applying trac_7936-desolvers.patch
now at: trac_7936-desolvers.patch
[mvngu@mod calculus]$ ../../sage
----------------------------------------------------------------------
| Sage Version 4.3.2.alpha1, Release Date: 2010-01-31                |
| Type notebook() for the GUI, and license() for information.        |
----------------------------------------------------------------------
**********************************************************************
*                                                                    *
* Warning: this is a prerelease version, and it may be unstable.     *
*                                                                    *
**********************************************************************
sage: load "desolvers.sage"
sage: des=["'diff(x(t),t)=-4*y(t)","'diff(y(t),t)=-x(t)"]
sage: vars = ["t","x","y"]
sage: desolve_system(des,vars)
[x(t)=(2*y(0)+x(0))*%e^-(2*t)/2-(2*y(0)-x(0))*%e^(2*t)/2,y(t)=(2*y(0)-x(0))*%e^(2*t)/4+(2*y(0)+x(0))*%e^-(2*t)/4]

[wdj]

Thanks for explaining that about the second patch.

desolvers.sage can be removed now since Robert Marik has kindly implemented everything in it in sage already.

Can you just delete the file, Minh?

[kcrisman]

Replying to wdj:

Thanks for explaining that about the second patch.

desolvers.sage can be removed now since Robert Marik has kindly implemented everything in it in sage already.

Can you just delete the file, Minh?

I just want to point out also that William is probably going to get rid of the examples directory in the near future - as usual, I do not have the URL for that discussion :) so the sooner we explicitly know it's not necessary, the better.

[kcrisman]

I can verify that desolvers.sage and euler_method.sage from this directory are completely taken care of by the changes of Robert, and some of field_plot2d.sage is also now in the plot/plot_field.py file (maybe not all of it, but maybe not all is needed?). I think the stuff in newton_raphson.sage probably should be jettisoned or somehow put in one of the sage/calculus files.

wdj, what do you think? Probably we can just about delete that whole directory. What do you think is worth putting into the main Sage library?

[wdj]

Replying to kcrisman:

I can verify that desolvers.sage and euler_method.sage from this directory are completely taken care of by the changes of Robert, and some of field_plot2d.sage is also now in the plot/plot_field.py file (maybe not all of it, but maybe not all is needed?). I think the stuff in newton_raphson.sage probably should be jettisoned or somehow put in one of the sage/calculus files.

wdj, what do you think? Probably we can just about delete that whole directory. What do you think is worth putting into the main Sage library?

Agreed. delete it. newton_raphson is so simple, it is easy to just post to the wiki or something anyway. Thanks for looking at this!

[kcrisman]

Okay, this patch, applied to the examples/ repository, should take of this. Needs review. wdj, why don't you go ahead and look at the newton-raphson examples on the interact part of the Wiki and see if that essentially has that, otherwise can you think of an appropriate place to store it?

Also see #7494 on removing all of this examples/ directory.

[mvngu]

Do I only need to apply ​trac_7936-no-calc-examples.patch?

[kcrisman]

Replying to mvngu:

Do I only need to apply ​trac_7936-no-calc-examples.patch?

I think so. Someone should check the interact wiki and make sure that the essence of the Newton-Raphson example is captured in the interacts already there which are about that. Recall that this needs review, though, so you (or someone) would need to formally give this positive review at least.

[wdj]

Replying to kcrisman:

Okay, this patch, applied to the examples/ repository, should take of this. Needs review. wdj, why don't you go ahead and look at the newton-raphson examples on the interact part of the Wiki and see if that essentially has that, otherwise can you think of an appropriate place to store it?

Looks good to me. I also copied the file to ​http://boxen.math.washington.edu/home/wdj/sagefiles/

Also see #7494 on removing all of this examples/ directory.

[wdj]

Replying to kcrisman:

Replying to mvngu:

Do I only need to apply ​trac_7936-no-calc-examples.patch?

I think so. Someone should check the interact wiki and make sure that the essence of the Newton-Raphson example is captured in the interacts already there which are about that. Recall that this needs review, though, so you (or someone) would need to formally give this positive review at least.

This patch does not apply to 4.4.2.a0 for me. Does anyone else have this problem?

[kcrisman]

You have to apply it "manually" (using ./sage -hg, unfortunately) to the examples/ directory. There is no hg_examples :(

[wdj]

Replying to kcrisman:

You have to apply it "manually" (using ./sage -hg, unfortunately) to the examples/ directory. There is no hg_examples :(

Can you tell me exactly the command to use to apply the patch Please?

sage -hg ????

[kcrisman]

I'll use ... to indicate the rest of the path until the Sage folder.

cd .../sage-4.4.1/examples/
~/.../sage-4.4.1/sage -hg log | less  # gives you the log, which is very boring :)
~/.../sage-4.4.1/sage -hg import http://trac.sagemath.org/sage_trac/raw-attachment/ticket/7936/trac_7936-no-calc-examples.patch
~/.../sage-4.4.1/sage -hg log | less  # gives you the log, which should now indicate the patch was applied.

And if you go in ./sage/examples/calculus/ now, it should be empty. The release manager would have to remove the empty folder by hand, I think.

I agree that it is very annoying that one has to do this without hg_sage - it took me a long time to figure out how to do it - but eventually the examples directory will cease to exist and so that won't be a problem. This is just a first step.

[wdj]

Replying to kcrisman:

I'll use ... to indicate the rest of the path until the Sage folder.

cd .../sage-4.4.1/examples/
~/.../sage-4.4.1/sage -hg log | less  # gives you the log, which is very boring :)
~/.../sage-4.4.1/sage -hg import http://trac.sagemath.org/sage_trac/raw-attachment/ticket/7936/trac_7936-no-calc-examples.patch
~/.../sage-4.4.1/sage -hg log | less  # gives you the log, which should now indicate the patch was applied.

And if you go in ./sage/examples/calculus/ now, it should be empty. The release manager would have to remove the empty folder by hand, I think.

I agree that it is very annoying that one has to do this without hg_sage - it took me a long time to figure out how to do it - but eventually the examples directory will cease to exist and so that won't be a problem. This is just a first step.

Thanks very much!

This applies fine to 4.4.2.a0 and sage -testall passes (except for unrelated failures in interfaces/r.py and misc/sagedoc.py).

[mvngu]

Merged ​trac_7936-no-calc-examples.patch in examples repository.