Thanks so much for your help. I should have made clear that I was aware that
the definitions were mutually dependent. What I was hoping was that Haskell
could solve this for me without my having to resort to effectively finessing
any sequencing considerations.
Perhaps I am really asking it to do too much.
This I thought might be reasonable since one is supposed to be achieving a
sequence-less style of programming. But this would seem to be a counter
example where I will be essentially forced to implement a sequential
processing semantic in a language environment which ostensibly would deny me
such (for my own good I understand).
Thoughts?
On 4/6/06, Garrett Mitchener
I came up with a system of coloring -- you'll have to view this message as html to see it. You start with the input parameters -- those are green. Anything defined in terms of green is blue. Anything defined in terms of green & blue is purple. Anything defined in terms of green, blue, and purple is orange, etc. Then you can see the problem. So in foo, everything checks out, you get to orange and there's just a couple of expressions left and you can see that there's no loop.
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foo (step,r0,mu0) = bar ( step,r1,r0,mu1,mu0) where r1 = r0- step*rd mu1 = mu0-step*mud
rd = c*c*mu0 mud = c*c/r0 - (foobar_r z)/c
c = baz(z) z = 6.378388e6-r0
baz z | z<125 = -0.25*z+1537.5
| otherwise = 0.0169*z+1504.1
foobar_r z | z<125 = 0.25
| otherwise = -0.0169
But when you try coloring bar, you get this far and then we're stuck. The problem is clear: r depends on rdc, which depends on rd0, which depends on c0, which depends on z0, which depends on r. So your definition for r includes a loop.
bar
(step,r2,r1,mu2,mu1) = (r,z0) : bar (step,r1,r,mu1,m) where r = r2 +2*step*rdc m = mu2+2*step*mudc rdc = ( rd2+rd1+rd0)/6 mudc = (mud2+mud1+mud0)/6
rd2 = c2*c2*mu2 mud2 = c2*c2/r2 - (foobar_r z2)/c2
rd1 = c1*c1*mu1 mud1 = c1*c1/r1 - (foobar_r z1)/c1
rd0 = c0*c0*m mud0 = c0*c0/r - (foobar_r z0)/c0
c2 = baz(z2)
c1 = baz( z1) c0 = baz(z0)
z2 = 6.378388e6-r2 z1 = 6.378388e6 -r1 z0 = 6.378388e6-r
main :: IO () main = do print $ take 100 (foo (0.1, 6.378388e6,0))