#12718: polynomial substitution overflow hell (libsingular bug?)
---------------------------------------+------------------------------------
       Reporter:  was                  |         Owner:  malb                   
    
           Type:  defect               |        Status:  needs_work             
    
       Priority:  critical             |     Milestone:  sage-5.0               
    
      Component:  commutative algebra  |    Resolution:                         
    
       Keywords:                       |   Work issues:                         
    
Report Upstream:  N/A                  |     Reviewers:  Volker Braun, William 
Stein
        Authors:  Martin Albrecht      |     Merged in:                         
    
   Dependencies:                       |      Stopgaps:                         
    
---------------------------------------+------------------------------------
Changes (by jdemeyer):

  * status:  positive_review => needs_work


Comment:

 On moufang (OSX 10.4 ppc32):
 {{{
 **********************************************************************
 File
 "/Users/buildbot/build/sage/moufang-1/moufang_full/build/sage-5.0.beta15/devel
 /sage-main/sage/rings/polynomial/multi_polynomial_libsingular.pyx", line
 3154:
     sage: n=1000; f = x^n; f.subs(x = x^n)
 Exception raised:
     Traceback (most recent call last):
       File
 
"/Users/buildbot/build/sage/moufang-1/moufang_full/build/sage-5.0.beta15/local/bin/ncadoctest.py",
 line 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File
 
"/Users/buildbot/build/sage/moufang-1/moufang_full/build/sage-5.0.beta15/local/bin/sagedoctest.py",
 line 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File
 
"/Users/buildbot/build/sage/moufang-1/moufang_full/build/sage-5.0.beta15/local/bin/ncadoctest.py",
 line 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_61[28]>", line 1, in <module>
         n=Integer(1000); f = x**n; f.subs(x = x**n)###line 3154:
     sage: n=1000; f = x^n; f.subs(x = x^n)
       File "multi_polynomial_libsingular.pyx", line 3240, in
 sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular.subs
 (sage/rings/polynomial/multi_polynomial_libsingular.cpp:21411)
         raise OverflowError("Exponent overflow (%d)."%(degree))
     OverflowError: Exponent overflow (1000000).
 **********************************************************************
 File
 "/Users/buildbot/build/sage/moufang-1/moufang_full/build/sage-5.0.beta15/devel
 /sage-main/sage/rings/polynomial/multi_polynomial_libsingular.pyx", line
 3157:
     sage: n=100000; f = x^n; f.subs(x = x^n)
 Expected:
     Traceback (most recent call last):
     ...
     OverflowError: Exponent overflow (10000000000).
 Got:
     Traceback (most recent call last):
       File
 
"/Users/buildbot/build/sage/moufang-1/moufang_full/build/sage-5.0.beta15/local/bin/ncadoctest.py",
 line 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File
 
"/Users/buildbot/build/sage/moufang-1/moufang_full/build/sage-5.0.beta15/local/bin/sagedoctest.py",
 line 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File
 
"/Users/buildbot/build/sage/moufang-1/moufang_full/build/sage-5.0.beta15/local/bin/ncadoctest.py",
 line 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_61[29]>", line 1, in <module>
         n=Integer(100000); f = x**n; f.subs(x = x**n)###line 3157:
     sage: n=100000; f = x^n; f.subs(x = x^n)
       File "multi_polynomial_libsingular.pyx", line 2347, in
 
sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular.__pow__
 (sage/rings/polynomial/multi_polynomial_libsingular.cpp:16619)
         singular_polynomial_pow(&_p, self._poly, exp, _ring)
       File "polynomial.pyx", line 322, in
 sage.libs.singular.polynomial.singular_polynomial_pow
 (sage/libs/singular/polynomial.cpp:3976)
       File "singular.pyx", line 667, in
 sage.libs.singular.singular.overflow_check
 (sage/libs/singular/singular.cpp:6526)
     OverflowError: Exponent overflow (100000).
 **********************************************************************
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12718#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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