```Date: Jul 15, 2013 4:16 PM
Author: daly@axiom-developer.org
Subject: Re: An independent integration test suite

On Monday, July 15, 2013 3:07:38 AM UTC-4, Albert Rich wrote:> On Sunday, July 14, 2013 12:58:04 AM UTC-10, Nasser M. Abbasi wrote:> > > > > I think the way to do this is by automation. The way I was> > > doing it so far is not practical. It should instead by> > > done by writing a script to run through all the test cases > > > automatically, otherwise it will take me another 2 years to> > > finish. But the problem comes when one wants to combine> > > results of many CAS'es in one document.> > > > I agree completely that automating the testing of systems AND grading their results is essential for any test-suite of significant size. However, I do not think it necessary or practical to combine the raw test results of multiple systems into a single document. > > > > Instead a system's test-suite program should compare its solution for each problem with the optimal solution in the test-suite, and assign it a numerical grade.  Then the grades of all the systems for each of the problems, rather than the raw results, should be combined into a single table. > > > > This was how I compiled the table of Charlwood Fifty test results for 7 systems that was posted in another sci.math.symbolic thread. Although the grading system used was relatively coarse (2 for an optimal antiderivative, 1 for a nonoptimal antiderivative, and 0 if unable to integrate), the table's bottom-line made it easy to compare the relative performance of the systems on this small test-suite. Obviously, it would be even more useful on a large test-suite with all the major systems tested...> > > > AlbertFor some of the integration problems Axiom finds more than one result.For instance,t1:=sqrt(a+b*x)/x         +-------+        \|b x + a   (1)  ----------             x                                                    Type: Expression(Integer)(2) -> integrate(t1,x)   (2)                +-+ +-------+     +-+    - 2\|a \|b x + a  + b x + 2a      +-------+   [\|a log(----------------------------) + 2\|b x + a ,                          x                   +-------+        +---+     \|b x + a       +-------+    - 2\|- a atan(----------) + 2\|b x + a ]                     +---+                    \|- a                                   Type: Union(List(Expression(Integer)),...)The posted suite only shows one answer.How should a test suite handle this?Tim
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