41 lines
743 B
Scheme
41 lines
743 B
Scheme
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;; 1.29
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(define(cube x)
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(* x x x))
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(define(sum-integers a b)
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(if ( > a b)
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0
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(+ a (sum-integers (+ a 1) b))))
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(define(sum-cubes a b)
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(if (> a b)
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0
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(+ (cube a) (sum-cubes(+ a 1) b))))
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(define (sum term a next b)
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(if (> a b)
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0
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(+ (term a)
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(sum term (next a) next b))))
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(define (integral f a b dx)
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(define (add-dx x) (+ x dx))
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(* (sum f (+ a (/ dx 2.0)) add-dx b)
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dx))
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(define (simpson f a b n)
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(define h (/ (- b a) n))
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(define (add-hh a) (+ a h h))
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(* (+ (- (f a))
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(* 2 (sum f a add-hh b))
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(* 4 (sum f (+ a h) add-hh b))
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(- (f b)))
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(/ h 3.0)))
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(display (simpson cube 1 2 100))
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(display "\n")
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(display (simpson cube 1 2 1000))
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(display "\n")
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