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-rw-r--r--examples/integrate.hs11
1 files changed, 9 insertions, 2 deletions
diff --git a/examples/integrate.hs b/examples/integrate.hs
index 10f0269..3a03da6 100644
--- a/examples/integrate.hs
+++ b/examples/integrate.hs
@@ -4,14 +4,21 @@ import Numeric.GSL
4quad f a b = fst $ integrateQAGS 1E-9 100 f a b 4quad f a b = fst $ integrateQAGS 1E-9 100 f a b
5 5
6-- A multiple integral can be easily defined using partial application 6-- A multiple integral can be easily defined using partial application
7quad2 f a b g1 g2 = quad h a b 7quad2 f y1 y2 g1 g2 = quad h y1 y2
8 where h x = quad (f x) (g1 x) (g2 x) 8 where
9 h y = quad (flip f y) (g1 y) (g2 y)
9 10
10volSphere r = 8 * quad2 (\x y -> sqrt (r*r-x*x-y*y)) 11volSphere r = 8 * quad2 (\x y -> sqrt (r*r-x*x-y*y))
11 0 r (const 0) (\x->sqrt (r*r-x*x)) 12 0 r (const 0) (\x->sqrt (r*r-x*x))
12 13
14-- wikipedia example
15exw = quad2 f 7 10 (const 11) (const 14)
16 where
17 f x y = x**2 + 4*y
18
13main = do 19main = do
14 print $ quad (\x -> 4/(x^2+1)) 0 1 20 print $ quad (\x -> 4/(x^2+1)) 0 1
15 print pi 21 print pi
16 print $ volSphere 2.5 22 print $ volSphere 2.5
17 print $ 4/3*pi*2.5**3 23 print $ 4/3*pi*2.5**3
24 print $ exw