Nth root: Difference between revisions
→{{header|Picat}}
Drkameleon (talk | contribs) (Added Arturo implementation) |
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return $x[1];
}</lang>
=={{header|Picat}}==
<lang Picat>go =>
L = [[2,2],
[34,5],
[34**5,5],
[7131.5**10],
[7,0.5],
[1024,10],
[5642, 125]
],
foreach([A,N] in L)
R = nthroot(A,N),
printf("nthroot(%8w,%8w) %20w (check: %w)\n",A,N,R,A**(1/N))
end,
nl.
%
% x^n = a
%
% Given a and n, find x (to Precision)
%
nthroot(A,N) = nthroot(A,N,0.000001).
nthroot(A,N,Precision) = X1 =>
NF = N * 1.0, % float version of N
X0 = A / NF,
X1 = 1.0,
do
X0 := X1,
X1 := (1.0 / NF)*((NF - 1.0)*X0 + (A / (X0 ** (NF - 1))))
while( abs(X0-X1) > Precision).</lang>
{{out}}
<pre>nthroot( 2, 2) 1.414213562373095 (check: 1.414213562373095)
nthroot( 34, 5) 2.024397458499885 (check: 2.024397458499885)
nthroot(45435424, 5) 34.0 (check: 34.000000000000007)
nthroot( 7, 0.5) 48.999999999999993 (check: 49.0)
nthroot( 1024, 10) 2.0 (check: 2.0)
nthroot( 5642, 125) 1.071547591944767 (check: 1.071547591944767)</pre>
=={{header|PicoLisp}}==
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