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[Axiom-developer] Re: [Axiom-mail] Coersion error

From: Tim Daly
Subject: [Axiom-developer] Re: [Axiom-mail] Coersion error
Date: Tue, 16 Jun 2009 06:19:33 -0400
User-agent: Thunderbird (Windows/20090302)

Arnold Doray wrote:
I'm trying to create a set of orthogonal polynomials using the
Gram-Schmidt process, but I hit a problem:

dot(f,g) == integrate(f*g*x^2,x=-1..1)
proj(f,g) == dot(f,g)*f/dot(f,f)

p0 := 1
p1 := x - proj(p0,x)
p2 := x^2 - proj(p0,x^2) - proj(p1,x^2)

p0 and p1 evaluate correctly, but p2 hits this error:

; (DEFUN |*2;dot;5;frame1394| ...) is being compiled.
;; The variable |*2;dot;5;frame1394;MV| is undefined.
;; The compiler will assume this variable is a global.
   Internal Error
   The function coerce with signature OrderedCompletion Integer ->
      Expression OrderedCompletion Integer is missing from domain
      Expression(OrderedCompletion (Integer))

I've also tried to define p(n) as a recursive function like so:

p(0) == 1
p(n | n > 0) == x^n - sum(proj(p(k),x^n),k=0..n-1)

But get a stack overflow: (eg, evaluating p(1))

   OpenAxiom will attempt to step through and interpret the code.
   Cannot compile map: proj
   We will attempt to interpret the code.
   Cannot compile map: p
   We will attempt to interpret the code.

   >> System error:
   Bind stack overflow.

I would appreciate any pointers where I am going wrong. I'm an Axiom
newbie. These calculations were done using open-axiom 1.2.1


Axiom-mail mailing list

You are not doing anything wrong. The error message says that there is a missing function (coerce) from one domain to another. I will look at the problem and get
back to you.


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