Multivariate power series are missing integral and division method

[hivert]

sage: R.<x>=PowerSeriesRing(QQ, 'x')
sage: (x+x^2).integral()
1/2*x^2 + 1/3*x^3
sage: R.<x,y>=PowerSeriesRing(QQ, 'x y')
sage: (x+x^2).integral(x)
...
AttributeError: 'MPowerSeries' object has no attribute 'integral'

I also implement division by a non unit series (thanks Nicolas for preliminary code) and fixes the latex method which was buggy

Apply:

• attachment: trac_14814-power_series_inverse_latex-fix-fh.patch​
• attachment: trac_14814_review.patch​
• attachment: trac_14814-review-2-dg.patch

Component: algebra

Keywords: integral multivariate power series

Author: Florent Hivert, Nicolas M. Thiéry

Branch/Commit: u/vbraun/series_integral_div @ 02333e3

Reviewer: Frédéric Chapoton

Issue created by migration from https://trac.sagemath.org/ticket/14814

[hivert]

Author: Florent Hivert, Nicolas Thiéry

[fchapoton]

comment:3

Attachment: trac_14814-power_series_inverse_latex-fix-fh.patch.gz

this may interfere with #14334

[fchapoton]

comment:5

It seems that there is no conflict with #14334

2 remarks:

• there is a typo in quo_rem: increassing

• please use the new syntax ValueError('please')

[fchapoton]

comment:6

I have made a review patch. If you are happy with the few small changes I have made, you can set a positive review.

[fchapoton]

Reviewer: Frédéric Chapoton

[fchapoton]

comment:7

Attachment: trac_14814_review.patch.gz

Ping ! Florent ? anybody else ?

[fchapoton]

comment:8

Ping again ! Nobody available to have a look at this ticket ?

[darijgr]

another review patch, atop of the previous one

[darijgr]

comment:9

Attachment: trac_14814-review-2-dg.patch.gz

New review patch allows the denominator to lie in a different parent (as long as it coerces into that of the numerator), deals with an endless-loop bug, and adds doc and comments. If you are fine with it, Frederic and Florent, this is positive_review!

for the patchbot

apply trac_14814-power_series_inverse_latex-fix-fh.patch​ trac_14814_review.patch​ trac_14814-review-2-dg.patch

[vbraun]

Branch: u/vbraun/series_integral_div

[vbraun]

New commits:

02333e3	trac #14814: review patch
09c2670	trac #14814 review patch (minor details)
aeea9a1	Implement integration and division or power series.

[vbraun]

Commit: 02333e3

[darijgr]

comment:12

Thanks for the final review, Volker!

[jdemeyer]

Changed author from Florent Hivert, Nicolas Thiéry to Florent Hivert, Nicolas M. Thiéry