#2796: [with patches, needs work] Integer digits/ndigit disagree on default base
------------------------------+---------------------------------------------
 Reporter:  jbmohler          |        Owner:  somebody  
     Type:  defect            |       Status:  new       
 Priority:  major             |    Milestone:  sage-3.2.1
Component:  basic arithmetic  |   Resolution:            
 Keywords:                    |  
------------------------------+---------------------------------------------
Changes (by mabshoff):

  * summary:  [with patches, positive review] Integer digits/ndigit
              disagree on default base => [with patches,
              needs work] Integer digits/ndigit disagree on
              default base

Comment:

 The two patches here cause the following failures:
 {{{
 [EMAIL PROTECTED]:/scratch/mabshoff/release-cycle/sage-3.2.rc1$ ./sage -t
 -long devel/sage/sage/symbolic/expression.pyx
 sage -t -long devel/sage/sage/symbolic/expression.pyx
 **********************************************************************
 File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/devel/sage/sage/symbolic/expression.pyx", line 1269:
     sage: (x^3 - 1).gcd(x-1)
 Exception raised:
     Traceback (most recent call last):
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/ncadoctest.py", line 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/sagedoctest.py", line 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/ncadoctest.py", line 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_38[4]>", line 1, in <module>
         (x**Integer(3) - Integer(1)).gcd(x-Integer(1))###line 1269:
     sage: (x^3 - 1).gcd(x-1)
       File "expression.pyx", line 1286, in
 sage.symbolic.expression.Expression.gcd
 (sage/symbolic/expression.cpp:5544)
       File "pynac.pyx", line 575, in sage.symbolic.pynac.py_int_length
 (sage/symbolic/pynac.cpp:7102)
     TypeError: an integer is required
 **********************************************************************
 File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/devel/sage/sage/symbolic/expression.pyx", line 1271:
     sage: (x^3 - 1).gcd(x^2+x+1)
 Exception raised:
     Traceback (most recent call last):
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/ncadoctest.py", line 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/sagedoctest.py", line 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/ncadoctest.py", line 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_38[5]>", line 1, in <module>
         (x**Integer(3) -
 Integer(1)).gcd(x**Integer(2)+x+Integer(1))###line 1271:
     sage: (x^3 - 1).gcd(x^2+x+1)
       File "expression.pyx", line 1286, in
 sage.symbolic.expression.Expression.gcd
 (sage/symbolic/expression.cpp:5544)
       File "pynac.pyx", line 575, in sage.symbolic.pynac.py_int_length
 (sage/symbolic/pynac.cpp:7102)
     TypeError: an integer is required
 **********************************************************************
 File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/devel/sage/sage/symbolic/expression.pyx", line 1277:
     sage: gcd(x^3 - y^3, x-y)
 Exception raised:
     Traceback (most recent call last):
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/ncadoctest.py", line 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/sagedoctest.py", line 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/ncadoctest.py", line 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_38[7]>", line 1, in <module>
         gcd(x**Integer(3) - y**Integer(3), x-y)###line 1277:
     sage: gcd(x^3 - y^3, x-y)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/lib/python2.5/site-packages/sage/rings/arith.py",
 line 1037, in gcd
         return a.gcd(b, **kwargs)
       File "expression.pyx", line 1286, in
 sage.symbolic.expression.Expression.gcd
 (sage/symbolic/expression.cpp:5544)
       File "pynac.pyx", line 575, in sage.symbolic.pynac.py_int_length
 (sage/symbolic/pynac.cpp:7102)
     TypeError: an integer is required
 **********************************************************************
 File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/devel/sage/sage/symbolic/expression.pyx", line 1279:
     sage: gcd(x^100-y^100, x^10-y^10)
 Exception raised:
     Traceback (most recent call last):
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/ncadoctest.py", line 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/sagedoctest.py", line 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/ncadoctest.py", line 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_38[8]>", line 1, in <module>
         gcd(x**Integer(100)-y**Integer(100),
 x**Integer(10)-y**Integer(10))###line 1279:
     sage: gcd(x^100-y^100, x^10-y^10)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/lib/python2.5/site-packages/sage/rings/arith.py",
 line 1037, in gcd
         return a.gcd(b, **kwargs)
       File "expression.pyx", line 1286, in
 sage.symbolic.expression.Expression.gcd
 (sage/symbolic/expression.cpp:5544)
       File "pynac.pyx", line 575, in sage.symbolic.pynac.py_int_length
 (sage/symbolic/pynac.cpp:7102)
     TypeError: an integer is required
 **********************************************************************
 File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/devel/sage/sage/symbolic/expression.pyx", line 1281:
     sage: gcd(expand( (x^2+17*x+3/7*y)*(x^5 - 17*y + 2/3) ),
 expand((x^13+17*x+3/7*y)*(x^5 - 17*y + 2/3)) )
 Exception raised:
     Traceback (most recent call last):
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/ncadoctest.py", line 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/sagedoctest.py", line 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/bin/ncadoctest.py", line 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_38[9]>", line 1, in <module>
         gcd(expand(
 (x**Integer(2)+Integer(17)*x+Integer(3)/Integer(7)*y)*(x**Integer(5) -
 Integer(17)*y + Integer(2)/Integer(3)) ),
 expand((x**Integer(13)+Integer(17)*x+Integer(3)/Integer(7)*y)*(x**Integer(5)
 - Integer(17)*y + Integer(2)/Integer(3))) )###line 1281:
     sage: gcd(expand( (x^2+17*x+3/7*y)*(x^5 - 17*y + 2/3) ),
 expand((x^13+17*x+3/7*y)*(x^5 - 17*y + 2/3)) )
       File "/scratch/mabshoff/release-
 cycle/sage-3.2.rc1/local/lib/python2.5/site-packages/sage/rings/arith.py",
 line 1037, in gcd
         return a.gcd(b, **kwargs)
       File "expression.pyx", line 1286, in
 sage.symbolic.expression.Expression.gcd
 (sage/symbolic/expression.cpp:5544)
       File "pynac.pyx", line 575, in sage.symbolic.pynac.py_int_length
 (sage/symbolic/pynac.cpp:7102)
     TypeError: an integer is required
 **********************************************************************
 1 items had failures:
    5 of  10 in __main__.example_38
 ***Test Failed*** 5 failures.
 For whitespace errors, see the file /scratch/mabshoff/release-
 cycle/sage-3.2.rc1/tmp/.doctest_expression.py
          [10.3 s]
 exit code: 1024

 ----------------------------------------------------------------------
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/2796#comment:5>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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