23 lines
587 B
Text
23 lines
587 B
Text
procedure main()
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showroot(125,3)
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showroot(27,3)
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showroot(1024,10)
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showroot(39.0625,4)
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showroot(7131.5^10,10)
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end
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procedure showroot(a,n)
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printf("%i-th root of %i = %i\n",n,a,root(a,n))
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end
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procedure root(a,n,p) #: finds the n-th root of the number a to precision p
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if n < 0 | type(n) !== "integer" then runerr(101,n)
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if a < 0 then runerr(205,a)
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/p := 1e-14 # precision
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xn := a / real(n) # initial guess
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while abs(a - xn^n) > p do
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xn := ((n - 1) * (xi := xn) + a / (xi ^ (n-1))) / real(n)
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return xn
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end
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link printf
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