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Integer roots: Difference between revisions
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Example: With N=2 and X=2×100<sup>2,000</sup> you would calculate a large integer consisting of the first 2,001 in order digits of the square root of two.
=={{header|Elixir}}==
{{trans|Ruby}}
<lang elixir>defmodule Integer_roots do
def root(_, b) when b<2, do: b
def root(a, b) do
a1 = a - 1
f = fn x -> (a1 * x + div(b, power(x, a1))) |> div(a) end
c = 1
d = f.(c)
e = f.(d)
until(c, d, e, f)
end
defp until(c, d, e, _) when c in [d, e], do: min(d, e)
defp until(_, d, e, f), do: until(d, e, f.(e), f)
defp power(_, 0), do: 1
defp power(n, m), do: Enum.reduce(1..m, 1, fn _,acc -> acc*n end)
def task do
IO.puts root(3,8)
IO.puts root(3,9)
IO.puts "First 2,001 digits of the square root of two:"
IO.puts root(2, 2 * power(100, 2000))
end
end
Integer_roots.task</lang>
{{out}}
<pre>
2
2
First 2,001 digits of the square root of two:
141421356237309504880168872420969807856967187537694807317667973799073247846210703885038753432764157273501384623091229702492483605585073721264412149709993583141322266592750559275579995050115278206057147010955997160597027453459686201472851741864088919860955232923048430871432145083976260362799525140798968725339654633180882964062061525835239505474575028775996172983557522033753185701135437460340849884716038689997069900481503054402779031645424782306849293691862158057846311159666871301301561856898723723528850926486124949771542183342042856860601468247207714358548741556570696776537202264854470158588016207584749226572260020855844665214583988939443709265918003113882464681570826301005948587040031864803421948972782906410450726368813137398552561173220402450912277002269411275736272804957381089675040183698683684507257993647290607629969413804756548237289971803268024744206292691248590521810044598421505911202494413417285314781058036033710773091828693147101711116839165817268894197587165821521282295184884720896946338628915628827659526351405422676532396946175112916024087155101351504553812875600526314680171274026539694702403005174953188629256313851881634780015693691768818523786840522878376293892143006558695686859645951555016447245098368960368873231143894155766510408839142923381132060524336294853170499157717562285497414389991880217624309652065642118273167262575395947172559346372386322614827426222086711558395999265211762526989175409881593486400834570851814722318142040704265090565323333984364578657967965192672923998753666172159825788602633636178274959942194037777536814262177387991945513972312740668983299898953867288228563786977496625199665835257761989393228453447356947949629521688914854925389047558288345260965240965428893945386466257449275563819644103169798330618520193793849400571563337205480685405758679996701213722394758214263065851322174088323829472876173936474678374319600015921888073478576172522118674904249773669292073110963697216089337086611567345853348332952546758516447107578486024636008
</pre>
=={{header|Go}}==
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