#10042: Doctest failure in sage/rings/polynomial/polynomial_element.pyx
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   Reporter:  mpatel   |       Owner:  mvngu     
       Type:  defect   |      Status:  needs_info
   Priority:  blocker  |   Milestone:  sage-4.6  
  Component:  doctest  |    Keywords:            
     Author:           |    Upstream:  N/A       
   Reviewer:           |      Merged:            
Work_issues:           |  
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Comment(by drkirkby):

 Replying to [comment:6 zimmerma]:
 > > I've not looked at this code, but is this only using machine
 precision?
 > > If so, why is there any surprise this acts differently on different
 machines?
 >
 > if the code is only using basic arithmetic operations and the square
 root, which is what it should
 > do to solve {{{x^2-pi}}} (which is what the failing test does) the
 behaviour should not depend on
 > the machine used, since those operations are standardized by IEEE 754.
 >
 > Paul

 But the maths library is not standardised by IEEE 754. It's known for
 example that exp(1.0) gives a different answer on SPARC to x86.

 That said, the fact the answers should be sqrt(pi) and -sqrt(pi), one
 might hope that one gets the same magnitude I must admit.

 I just created a noddy C program on my !OpenSolaris machine where this
 failed.

 {{{
 drkir...@hawk:~$ cat test.c
 #include <stdio.h>
 #include <math.h>

 volatile double x=M_PI;
 int main() {
     printf ("%.70lf\n",sqrt(x));
 }

 drkir...@hawk:~$ gcc -lm test.c
 drkir...@hawk:~$ ./a.out
 1.7724538509055158819194275565678253769874572753906250000000000000000000
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10042#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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