Opened 4 years ago
Closed 16 months ago
#15046 closed defect (fixed)
Symbolic elliptic integrals
Reported by:  eviatarbach  Owned by:  

Priority:  major  Milestone:  sage7.3 
Component:  symbolics  Keywords:  special, functions 
Cc:  burcin, paulmasson  Merged in:  
Authors:  Eviatar Bach, Ralf Stephan  Reviewers:  KarlDieter Crisman, Travis Scrimshaw 
Report Upstream:  N/A  Work issues:  
Branch:  fc1ac57 (Commits)  Commit:  fc1ac5749722831ed8c86ac9c12917a5f299e327 
Dependencies:  Stopgaps: 
Description (last modified by )
This ticket is for making the elliptic integrals symbolic, including arbitraryprecision numeric evaluation.
Defect because elliptic_e(2.5,2.5).n()
throwing an ECL error is fixed with it.
Attachments (1)
Change History (38)
comment:1 Changed 4 years ago by
 Status changed from new to needs_review
Changed 4 years ago by
comment:2 Changed 4 years ago by
 Status changed from needs_review to needs_work
comment:3 Changed 4 years ago by
 Milestone changed from sage6.1 to sage6.2
comment:4 Changed 3 years ago by
 Milestone changed from sage6.2 to sage6.3
comment:5 Changed 3 years ago by
 Branch set to u/rws/symbolic_elliptic_integrals
comment:6 Changed 3 years ago by
 Commit set to a922acc1b23180816f5655e77f5030b530370390
Updated to 6.3beta6:
3 items had failures: 1 of 4 in sage.functions.special.elliptic_j.EllipticEC 1 of 2 in sage.functions.special.elliptic_j.EllipticEC._derivative_ 1 of 4 in sage.functions.special.elliptic_j.EllipticPi
New commits:
a922acc  15046: Making elliptic integrals symbolic

comment:7 Changed 3 years ago by
 Commit changed from a922acc1b23180816f5655e77f5030b530370390 to e950c33f11296ba41c8f7cccf41cc92649deb1e8
comment:8 Changed 3 years ago by
 Keywords special functions added
 Status changed from needs_work to needs_review
This is now ready for review.
BTW, is Maxima not able to solve the resp. integrals?
sage: integrate(sqrt(1  m*sin(x)^2), x, 0, phi) sage: integrate(sqrt(1  m*sin(x)^2), x, 0, pi/2) sage: integrate(1/sqrt(1  m*sin(x)^2), x, 0, phi)
comment:9 Changed 3 years ago by
 Commit changed from e950c33f11296ba41c8f7cccf41cc92649deb1e8 to 5547215bb7849935ff3a356704a584ddda5ccbf5
Branch pushed to git repo; I updated commit sha1. New commits:
5547215  Merge branch 'develop' into t/15046/symbolic_elliptic_integrals

comment:10 Changed 3 years ago by
 Milestone changed from sage6.3 to sage6.4
comment:11 Changed 3 years ago by
 Commit changed from 5547215bb7849935ff3a356704a584ddda5ccbf5 to 829da64c2768eb057f9edaa02a2fba80b22564fa
Branch pushed to git repo; I updated commit sha1. New commits:
829da64  Merge branch 'develop' into t/15046/symbolic_elliptic_integrals

comment:12 Changed 3 years ago by
Just to let you know: this conflicts with #17130.
comment:13 Changed 3 years ago by
 Commit changed from 829da64c2768eb057f9edaa02a2fba80b22564fa to ad02c9ca6c62d728af961435dd7333ef8e0df18f
comment:14 Changed 3 years ago by
With this MaximaFunction
is no longer used. I tend to put it in its own source file in functions
. Comments?
comment:15 Changed 3 years ago by
With this MaximaFunction? is no longer used. I tend to put it in its own source file in functions.
Do you mean it isn't used at all? Wow! I guess that is a good thing, though.
comment:16 Changed 3 years ago by
 Status changed from needs_review to needs_work
sage t long src/sage/functions/special.py # 2 doctests failed
comment:17 Changed 3 years ago by
 Commit changed from ad02c9ca6c62d728af961435dd7333ef8e0df18f to e1e8900ace95033f1718ef2fdb421c1406cabce0
comment:18 Changed 3 years ago by
 Milestone changed from sage6.4 to sage6.6
 Status changed from needs_work to needs_review
comment:19 Changed 3 years ago by
 Description modified (diff)
 Type changed from enhancement to defect
comment:20 Changed 3 years ago by
 Commit changed from e1e8900ace95033f1718ef2fdb421c1406cabce0 to 79c8fda1cd8a29c7dd435f494be59a5ea6b99c8f
Branch pushed to git repo; I updated commit sha1. New commits:
79c8fda  15046: add doctest for Maxima error

comment:21 Changed 3 years ago by
 Commit changed from 79c8fda1cd8a29c7dd435f494be59a5ea6b99c8f to b3b2e8cb5d97ec535849747fd207d6ee92524f6f
comment:22 Changed 3 years ago by
 Milestone changed from sage6.6 to sage6.7
Passes all patchbot tests.
comment:23 Changed 2 years ago by
 Dependencies #14996 deleted
I'd like to look at this  can you confirm that you are giving positive review to Eviatar's original changes? If so, I think I only need to give this one more good look and try out some more numerical things to confirm it's ready to go.
By the way, I note some inconsistency (probably due to my relative unfamiliarity with elliptic integrals). I see
This returns the value of the "incomplete elliptic integral of the second kind"
in two places, EllipticE
and EllipticEU
. Since the Maxima manual clarifies the relationship, we should too. Indeed, there is a bunch of stuff in here which assumes familiarity with syntax for the Jacobi functions dn
or sn
or the rest which should be clarified. Maybe a link in internal documentation to that file, or perhaps some Wikipedia refs would also not be amiss? Just throwing out doc ideas, as long as we implement a little more it will be fine.
comment:24 Changed 2 years ago by
 Status changed from needs_review to needs_work
comment:25 Changed 2 years ago by
 Commit changed from b3b2e8cb5d97ec535849747fd207d6ee92524f6f to 27278e3a64c6a0bd0ea0c12a8d9b37908bfbd090
comment:26 Changed 2 years ago by
 Milestone changed from sage6.7 to sage6.8
 Status changed from needs_work to needs_review
comment:27 Changed 17 months ago by
 Commit changed from 27278e3a64c6a0bd0ea0c12a8d9b37908bfbd090 to fa4fd6965d7180f0d5ed129429eb5b540545edbe
comment:28 Changed 17 months ago by
 Cc paulmasson added
 Milestone changed from sage6.8 to sage7.3
comment:29 Changed 16 months ago by
Sage startup time increased by 0.3%, why?
comment:30 Changed 16 months ago by
I am pretty sure that is from a bad startup time test batch. Also, could you break the longer lines to ~80 characters?
comment:31 Changed 16 months ago by
 Commit changed from fa4fd6965d7180f0d5ed129429eb5b540545edbe to e4b089ad130328607c5ee2bdbc149cee097f1520
comment:32 Changed 16 months ago by
I didn't break all the lines. If you insist I'll try again. Anything else?
comment:33 Changed 16 months ago by
 Reviewers set to KarlDieter Crisman, Travis Scrimshaw
I would prefer if the doctest output lines were split, probably 1 term per line should be good (or more if they are shorter). Once you do that, you can set a positive review on my behalf
comment:34 Changed 16 months ago by
 Commit changed from e4b089ad130328607c5ee2bdbc149cee097f1520 to fc1ac5749722831ed8c86ac9c12917a5f299e327
Branch pushed to git repo; I updated commit sha1. New commits:
fc1ac57  15046: break doctest output lines

comment:35 Changed 16 months ago by
 Status changed from needs_review to positive_review
I couldn't break lines at abc*xyz
(bug?) but it worked at abc  xyz
and abc + xyz
so I succeeded in most of the cases.
comment:36 Changed 16 months ago by
Thanks. What you did is exactly what I was looking for and plenty good. The reason why abc*xyz
cannot split is because there is no whitespace around the operator (and newlines get counted as whitespace, which the doctest framework ignores all after one whitespace char).
comment:37 Changed 16 months ago by
 Branch changed from u/rws/symbolic_elliptic_integrals to fc1ac5749722831ed8c86ac9c12917a5f299e327
 Resolution set to fixed
 Status changed from positive_review to closed
Need to get full doctest coverage.