Function composition: Difference between revisions
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(Function composition with Python example.) |
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0.5 |
0.5 |
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>>> </lang> |
>>> </lang> |
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=={{header|Scheme}}== |
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<lang scheme>(define (compose f g) (lambda (x) (f (g x))))</lang> |
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Example use: |
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<lang scheme>> (define (compose f g) (lambda (x) (f (g x)))) |
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> (define sin_asin (compose sin asin)) |
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> (sin_asin 0.5) |
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0.5</lang> |
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Revision as of 07:09, 3 March 2009
You are encouraged to solve this task according to the task description, using any language you may know.
Create a function, compose, whose two arguments f and g, are both functions with one argument. The result of compose is to be a function of one argument, (lets call the argument x), which works like applying function f to the result of applying function g to x.
I.e:
compose(f, g)(x) == f( g(x) )
Reference: Function composition
Python
<lang python>compose = lambda f, g: lambda x: f( g(x) )</lang> Example use: <lang python>>>> compose = lambda f, g: lambda x: f( g(x) ) >>> from math import sin, asin >>> sin_asin = compose(sin, asin) >>> sin_asin(0.5) 0.5 >>> </lang>
Scheme
<lang scheme>(define (compose f g) (lambda (x) (f (g x))))</lang> Example use: <lang scheme>> (define (compose f g) (lambda (x) (f (g x)))) > (define sin_asin (compose sin asin)) > (sin_asin 0.5) 0.5</lang>