#14318: More doctests from the book "Calcul mathématique avec Sage" chapter
"integration"
-------------------------------------------------+-------------------------
       Reporter:  lfousse                        |        Owner:  mvngu
           Type:  enhancement                    |       Status:
       Priority:  minor                          |  needs_work
      Component:  doctest coverage               |    Milestone:  sage-5.12
       Keywords:                                 |   Resolution:
        Authors:  Laurent Fousse, Paul           |    Merged in:
  Zimmermann                                     |    Reviewers:  Frédéric
Report Upstream:  N/A                            |  Chapoton
         Branch:                                 |  Work issues:
   Dependencies:                                 |       Commit:
                                                 |     Stopgaps:
-------------------------------------------------+-------------------------
Changes (by jdemeyer):

 * status:  positive_review => needs_work


Comment:

 Some of these examples yield slightly different results on 32-bit systems:
 {{{
 sage -t --long devel/sage/sage/tests/french_book/integration_doctest.py
 **********************************************************************
 File "devel/sage/sage/tests/french_book/integration_doctest.py", line 30,
 in sage.tests.french_book.integration_doctest
 Failed example:
     N(integrate(exp(-x^2)*log(x), x, 17, 42))
 Expected:
     2.5657285006962035e-127
 Got:
     2.565728500696221e-127
 **********************************************************************
 File "devel/sage/sage/tests/french_book/integration_doctest.py", line 42,
 in sage.tests.french_book.integration_doctest
 Failed example:
     numerical_integral(exp(-x^2)*log(x), 17, 42)
 Expected:
     (2.5657285006962035e-127, 3.3540254049238093e-128)
 Got:
     (2.565728500696221e-127, 3.3540254049023843e-128)
 **********************************************************************
 File "devel/sage/sage/tests/french_book/integration_doctest.py", line 49,
 in sage.tests.french_book.integration_doctest
 Failed example:
     numerical_integral(exp(-x^100), 0, 1.1, algorithm='qng')
 Expected:
     (0.994327538576531..., 0.016840666914688864)
 Got:
     (0.9943275385765319, 0.016840666914705607)
 **********************************************************************
 File "devel/sage/sage/tests/french_book/integration_doctest.py", line 59,
 in sage.tests.french_book.integration_doctest
 Failed example:
     N(integrate(exp(-x^2)*log(x), x, 17, 42), 200)
 Expected:
     2.5657285006962035e-127
 Got:
     2.565728500696221e-127
 **********************************************************************
 File "devel/sage/sage/tests/french_book/integration_doctest.py", line 80,
 in sage.tests.french_book.integration_doctest
 Failed example:
     gp('intnum(x=17, 42, exp(-x^2)*log(x))')
 Expected:
     2.5657285005610514829173563961304785900 E-127
 Got:
     2.565728500561051482917356396 E-127
 **********************************************************************
 File "devel/sage/sage/tests/french_book/integration_doctest.py", line 85,
 in sage.tests.french_book.integration_doctest
 Failed example:
     gp('intnum(x=0, 1, sin(sin(x)))')
 Expected:
     0.43060610312069060491237735524846578643
 Got:
     0.4306061031206906049123773553
 **********************************************************************
 File "devel/sage/sage/tests/french_book/integration_doctest.py", line 94,
 in sage.tests.french_book.integration_doctest
 Failed example:
     gp('intnum(x=0, 1, x^(-1/2))')
 Expected:
     1.999999999999999999999999999998...
 Got:
     1.999999999999999999990291881
 **********************************************************************
 File "devel/sage/sage/tests/french_book/integration_doctest.py", line 99,
 in sage.tests.french_book.integration_doctest
 Failed example:
     gp('intnum(x=[0, -1/2], 1, x^(-1/2))')
 Expected:
     2.00000000000000000000000000000...
 Got:
     2.000000000000000000000000000
 **********************************************************************
 File "devel/sage/sage/tests/french_book/integration_doctest.py", line 104,
 in sage.tests.french_book.integration_doctest
 Failed example:
     gp('intnum(x=[0, -1/42], 1, x^(-1/2))')
 Expected:
     1.9999999999999999999999999999996...
 Got:
     1.999999999999999999996899473
 **********************************************************************
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/14318#comment:10>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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