Opened 4 years ago
Closed 3 years ago
#22989 closed defect (fixed)
Doctest: Remaining issues with symbolic product
Reported by:  rws  Owned by:  

Priority:  minor  Milestone:  sage8.0 
Component:  calculus  Keywords:  
Cc:  charpent, tscrim  Merged in:  
Authors:  Ralf Stephan, Emmanuel Charpentier  Reviewers:  Marcelo Forets 
Report Upstream:  N/A  Work issues:  
Branch:  8be8a0c (Commits)  Commit:  8be8a0cecbcda7aa7d75aeba104df3621cc70e87 
Dependencies:  #22937  Stopgaps: 
Description
Continued from #17505 this ticket fixes LaTeX, documentation, and doctest issues around the symbolic product.
Change History (24)
comment:1 Changed 4 years ago by
 Cc charpent added
comment:2 Changed 4 years ago by
 Cc charpent removed
comment:4 Changed 4 years ago by
 Branch set to u/rws/22989
comment:5 followup: ↓ 6 Changed 4 years ago by
 Cc tscrim added
 Commit set to e75c124b677884a65a8e7bade96fb678b81b9a56
 Status changed from new to needs_review
New commits:
e75c124  22989: Remaining issues with symbolic product

comment:6 in reply to: ↑ 5 Changed 4 years ago by
comment:7 Changed 4 years ago by
 Branch changed from u/rws/22989 to u/rws/229891
comment:8 Changed 4 years ago by
 Commit changed from e75c124b677884a65a8e7bade96fb678b81b9a56 to 7df31d9058169c3505a34f54f675663e4c2dcde7
 Dependencies set to #22937
I ended up using your branch and resolve the conflict, so this depends on #22937.
Last 10 new commits:
687cc8e  Distribute : implement Travis Scrimshaw's suggestion for iterations.

d420ec4  17505: fix latex, cosmetics

b784a2c  Merge branch 'u/rws/implement_symbolic_product' of trac.sagemath.org:sage into distribute

5779423  17505: fix doctests

4b6e71b  Merge branch 'u/rws/implement_symbolic_product' of trac.sagemath.org:sage into distribute

2412f7a  Distribute : cosmetics on documentation.

c28097a  Distribute : at his request, Travis Crimshaw removed from Author's list.

7aee739  Distribute : one last typo (I hope...).

b2b4a0f  Merge branch 'develop' into t/22937/distribute

7df31d9  22989: Remaining issues with symbolic product

comment:9 Changed 4 years ago by
Found a small oversight in latex functions for Function_sum and Function_prod :
sage: latex(sum(sin(X(j)),j,1,p)) {\sum_{j=1}^{p} sin(X(j))}
whereas what is sought is something along the lines of {\sum_{j=1}^{p} \sin\left(X\left(j\right)\right)
}
Patch suggestion :
charpent@asus16ec:/usr/local/sage8$ git diff diff git a/src/sage/functions/other.py b/src/sage/functions/other.py index aaee96cf87..aafbb697e8 100644  a/src/sage/functions/other.py +++ b/src/sage/functions/other.py @@ 2617,7 +2617,8 @@ class Function_sum(BuiltinFunction): sage: latex(ssum(x^2, x, 1, 10)) {\sum_{x=1}^{10} x^2} """  return r"{{\sum_{{{}={}}}^{{{}}} {}}}".format(var, a, b, x) + return r"{{\sum_{{{}={}}}^{{{}}} {}}}".format(latex(var), latex(a), + latex(b), latex(x)) symbolic_sum = Function_sum() @@ 2664,6 +2665,7 @@ class Function_prod(BuiltinFunction): sage: latex(sprod(x^2, x, 1, 10)) {\prod_{x=1}^{10} x^2} """  return r"{{\prod_{{{}={}}}^{{{}}} {}}}".format(var, a, b, x) + return r"{{\prod_{{{}={}}}^{{{}}} {}}}".format(latex(var), latex(a), + latex(b), latex(x)) symbolic_product = Function_prod()
Simpleminded but correct (I think).
comment:10 Changed 4 years ago by
Yet another note :
sum()
expands its first argument. I'm not sure that this is pertinent. Compare :
sage: sum((X(j)+Y(j))^2,j,1,p) sum(X(j)^2 + 2*X(j)*Y(j) + Y(j)^2, j, 1, p) sage: maxima("sum(((X(j)+Y(j))^2),j,1,p)").sage() sum((X(j) + Y(j))^2, j, 1, p)
I have implemented (in a private branch), an "expand" option controlling if distribute()
should expand its first argument (default) or not (might come in handy in some situations). This allows :
sage: maxima("sum((X(j)+Y(j))^2+Z(j),j,1,p)").sage().distribute() sum(X(j)^2, j, 1, p) + sum(2*X(j)*Y(j), j, 1, p) + sum(Y(j)^2, j, 1, p) + sum(Z(j), j, 1, p) sage: maxima("sum((X(j)+Y(j))^2+Z(j),j,1,p)").sage().distribute(expand=False) sum((X(j) + Y(j))^2, j, 1, p) + sum(Z(j), j, 1, p)
But this currently works only from sum expressions cast from Maxima ; Sagebuilt sums get expanded volens nolens, as seen above, and the resulting expansions can't be factorized back by factor()
.
Possible solution : an "expand" keyword argument to sum (default=True) controlling the expansion ? What do you think ?
The same goes, of course, for products.
comment:11 Changed 4 years ago by
Please take take ASAP of the apply/python3 issue introduced in #22937.
comment:12 Changed 4 years ago by
 Summary changed from Remaining issues with symbolic product to Doctest: Remaining issues with symbolic product
The branch is fine.
comment:13 Changed 4 years ago by
 Branch changed from u/rws/229891 to u/charpent/229891
comment:14 Changed 4 years ago by
 Commit changed from 7df31d9058169c3505a34f54f675663e4c2dcde7 to 4c3d7f478979aaa6bc72aae57e57a0209b9942fb
This has been rebased over 8.0.beta7 (which incorporates #22937). Three fixes :
 Latex generation for symbolic sums and products.
 A
.prod()
method for symbolic expressions.  A public
product()
function (I wanted to nmae itprod
, but this clashes irreconciliably with the existingprod
function for lists and others. I you see how to implement this, you're welcome...).
Passes ptestlong
with the usual transient sage t long src/sage/homology/simplicial_complex.py
failure, which is transient.
==> needs_review
comment:15 Changed 3 years ago by
As of the day before yesterday, the patchbots started giving an error in building g2fx that I don't understand a bit...
Ca some king sould enlighten me on the possible causes (and possible remedies ?)
comment:16 followup: ↓ 17 Changed 3 years ago by
some comments:
 the
(optional) use Giac
should be justuse Giac
'mathematica'
 (optional) use Mathematica is missing
 add a SEEALSO block pointing to the new
symbolic_product
in the top levelprod
(misc_c.pyx
)
if you don't mind, i can add these minor things myself and review asap.
comment:17 in reply to: ↑ 16 ; followup: ↓ 20 Changed 3 years ago by
Replying to mforets:
some comments:
 the
(optional) use Giac
should be justuse Giac
Indeed : giac is now standard...
'mathematica'
 (optional) use Mathematica is missing
Indeed.
But I'm not so sure : the Mathematica interface has other (serious) problems, that can be triggered also in sums and products. This, IMHO, is a distinct problem, and should be fixed by someone knowing what it does with Mathematica (I don't...).
Is it reasonable do document a (good) way to use a (flaky) interface ? I let you judge...
 add a SEEALSO block pointing to the new
symbolic_product
in the top levelprod
(misc_c.pyx
)
Right...
if you don't mind, i can add these minor things myself and review asap.
Please go ahead ! Do you need me to review your review ?
comment:18 Changed 3 years ago by
 Branch changed from u/charpent/229891 to u/mforets/229891
comment:19 Changed 3 years ago by
 Commit changed from 4c3d7f478979aaa6bc72aae57e57a0209b9942fb to 5b8b16c47fb0d47835fe1e6c69465d051e4ba252
done. for mathematica
unfortunately i also don't have it so cannot test, but i do think it's good to mention as a valid option.
i'm having an issue with the hold
option:
sage: k, n = var('k, n') sage: sage.calculus.calculus.symbolic_product(k, k, 1, n) factorial(n) sage: sage.calculus.calculus.symbolic_product(k, k, 1, n, hold=True)  ImportError Traceback (most recent call last) <ipythoninput31fc22673b8c7> in <module>() > 1 sage.calculus.calculus.symbolic_product(k, k, Integer(1), n, hold=True) /Users/forets/sagesrc/sage/local/lib/python2.7/sitepackages/sage/calculus/calculus.pyc in symbolic_product(expression, v, a, b, algorithm, hold) 868 869 if hold == True: > 870 from sage.functions.other import symbolic_prod as sprod 871 return sprod(expression, v, a, b) 872 ImportError: cannot import name symbolic_prod
let me fix it by changing symbolic_prod
to symbolic_product
in line 870
New commits:
5b8b16c  docstring tweaks

comment:20 in reply to: ↑ 17 Changed 3 years ago by
Replying to charpent:
Replying to mforets:
'mathematica'
 (optional) use Mathematica is missing
But I'm not so sure : the Mathematica interface has other (serious) problems, that can be triggered also in sums and products. This, IMHO, is a distinct problem, and should be fixed by someone knowing what it does with Mathematica (I don't...).
Is it reasonable do document a (good) way to use a (flaky) interface ? I let you judge...
We are suppose to be supporting an interface to Mathematica, so I think we should document it. Doing so will both increase our user base and help find bugs from people using said interface.
comment:21 Changed 3 years ago by
 Commit changed from 5b8b16c47fb0d47835fe1e6c69465d051e4ba252 to 8be8a0cecbcda7aa7d75aeba104df3621cc70e87
Branch pushed to git repo; I updated commit sha1. New commits:
8be8a0c  fix import in hold option

comment:22 Changed 3 years ago by
 Reviewers set to Marcelo Forets
 Status changed from needs_review to positive_review
symbolic product works and html doc builds, tests in relevant modules pass.
comment:23 Changed 3 years ago by
Thanks.
comment:24 Changed 3 years ago by
 Branch changed from u/mforets/229891 to 8be8a0cecbcda7aa7d75aeba104df3621cc70e87
 Resolution set to fixed
 Status changed from positive_review to closed
BTW, Maxima can give back some "interesting" results: