Re: intnum

[Bill Allombert <allomber@math.u-bordeaux.fr>]

On Mon, Jun 17, 2002 at 07:31:31PM +0200, Karim BELABAS wrote:
> Received the following bug report:
> 
> (19:10) gp > intnum(x=0,Pi,sin(16*x)^2)
> %1 = 1.855125350366532182 E-54  \\ should be Pi/2
> 
> Cause: integral computed using Romberg method, with equally spaced points
> (+ interpolation of successive values for a few runs with increasing number
> of points). For highly oscillating functions (esp. integrating over 2^k *
> period), we may be unlucky.
> 
> Possible solution: pick random point in each subinterval ?

? intnum(x=0,Pi,sin(16*x)^2,3)
%1 = 1.570796326794896619231321691

So what trick does this flag use ?

Cheer,

Bill.