| When rewriting in Haskell, I got some rather interesting
| results, hugs
| apparently runs the program about as fast as compiled Scheme (!) (I
| get 8 seconds on a P150, while the numbers above were from a
| PPro200), and a compilation with GHC brings it down to about zero (0.7s
to be
| exact), but returns 0 instead of some large number.
|
| This puzzles me, so I thought I'd turn to the list to see if anybody
| here can shed light on my practices. Am I committing some
| grave error in my translations? Have I inadvertently performed source
code
| optimization? Is there a bug in GHC? Or is it just damned good at
| figuring out things analytically?
I tried your program, and printed out 'es' as well. The results are below
(and the program is attached).
Apparently, GHC computes all zeros for 'es', while Hugs puts a bunch
of 2^11s in the middle! GHC is not doing any analytic work.
I assume that the answer is supposed to be zero, right? I conclude that
there
may be a bug in Hugs, so I'm sending this to the Hugs bugs list.
Simon
|
| The source code is as follows, with most of the original Scheme code
| submitted in comments. (The missing Scheme is the integrate*
| functions, which are rather trivially translated. If anybody asks,
| I'll dig them up). Here goes:
|
| -----8<----------------
| integrate1D :: Double -> Double -> (Double->Double) -> Double
| integrate1D l u f =
| let d = (u-l)/8.0 in
| d * sum
| [ (f l)*0.5,
| f (l+d),
| f (l+(2.0*d)),
| f (l+(3.0*d)),
| f (l+(4.0*d)),
| f (u-(3.0*d)),
| f (u-(2.0*d)),
| f (u-d),
| (f u)*0.5]
|
| integrate2D l1 u1 l2 u2 f = integrate1D l2 u2
| (\y->integrate1D l1 u1
| (\x->f x y))
|
| zark u v = integrate2D 0.0 u 0.0 v (\x->(\y->x*y))
|
| {-
| (define (r-total N)
| (do ((I 1 (+ I 1))
| (Sum 0.0 (+ Sum (zark (* I 1.0) (* I 2.0)))))
| ((> I N) Sum)))
| -}
|
| ints = [1.0..]
| zarks = zipWith zark ints (map (2.0*) ints)
| rtotals = head zarks : zipWith (+) (tail zarks) rtotals
| rtotal n = rtotals!!n
|
| {-
| (define (i-total N)
| (do ((I 1 (+ I 1))
| (Sum 0.0 (+ Sum (let ((I2 (* (* I I) 1.0))) (* I2 I2)))))
| ((> I N) Sum)))
| -}
|
| is = map (^4) ints
| itotals = head is : zipWith (+) (tail is) itotals
| itotal n = itotals!!n
|
| {-
| (define (error-sum-of-squares N)
| (do ((I 1 (+ I 1))
| (Sum 0.0 (+ Sum (let ((E (- (r-total I) (i-total I))))
| (* E E)))))
| ((> I N) Sum)))
|
| (begin (display (error-sum-of-squares 1000)) (newline))
| -}
|
| es = map (^2) (zipWith (-) rtotals itotals)
| etotal n = sum (take n es)
|
| main = putStrLn (show (etotal 1000))
|
| --------8<----------------
|
Hugs session for:
/home/simonmar/fp/share/hugs/lib/Prelude.hs
Prelude> main
ERROR: Undefined variable "main"
Prelude> :l Main.hs
Reading file "Main.hs":
Dependenc
T
Hugs session for:
/home/simonmar/fp/share/hugs/lib/Prelude.hs
Main.hs
Main> main
zarks [1.0,16.0,81.0,256.0,625.0,1296.0,2401.0,4096.0,6561.0,10000.0]
is [1.0,16.0,81.0,256.0,625.0,1296.0,2401.0,4096.0,6561.0,10000.0]
itotals [1.0,17.0,98.0,354.0,979.0,2275.0,4676.0,8772.0,15333.0,25333.0]
rtotals [1.0,17.0,98.0,354.0,979.0,2275.0,4676.0,8772.0,15333.0,25333.0]
es
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8.63117e+13
Main> [Leaving Hugs]
============================================================
cam-02-unx:~/tmp$ ghc-4.06 -O -o integrate Main.hs
cam-02-unx:~/tmp$ ./integrate
zarks [1.0,16.0,81.0,256.0,625.0,1296.0,2401.0,4096.0,6561.0,10000.0]
is [1.0,16.0,81.0,256.0,625.0,1296.0,2401.0,4096.0,6561.0,10000.0]
itotals [1.0,17.0,98.0,354.0,979.0,2275.0,4676.0,8772.0,15333.0,25333.0]
rtotals [1.0,17.0,98.0,354.0,979.0,2275.0,4676.0,8772.0,15333.0,25333.0]
es
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cam-02-unx:~/tmp$
