Integer roots: Difference between revisions
Rename Perl 6 -> Raku, alphabetize, minor clean-up
(→{{header|Phix}}: now uses mpz_root() instead) |
Thundergnat (talk | contribs) (Rename Perl 6 -> Raku, alphabetize, minor clean-up) |
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Line 95:
2nd root of 2000000000000000000 = 1414213562</pre>
=={{header|C
{{trans|Java}}
<lang csharp>using System;
Line 178 ⟶ 137:
3rd integer root of 9 = 2
First 2001 digits of the sqaure root of 2: 141421356237309504880168872420969807856967187537694807317667973799073247846210703885038753432764157273501384623091229702492483605585073721264412149709993583141322266592750559275579995050115278206057147010955997160597027453459686201472851741864088919860955232923048430871432145083976260362799525140798968725339654633180882964062061525835239505474575028775996172983557522033753185701135437460340849884716038689997069900481503054402779031645424782306849293691862158057846311159666871301301561856898723723528850926486124949771542183342042856860601468247207714358548741556570696776537202264854470158588016207584749226572260020855844665214583988939443709265918003113882464681570826301005948587040031864803421948972782906410450726368813137398552561173220402450912277002269411275736272804957381089675040183698683684507257993647290607629969413804756548237289971803268024744206292691248590521810044598421505911202494413417285314781058036033710773091828693147101711116839165817268894197587165821521282295184884720896946338628915628827659526351405422676532396946175112916024087155101351504553812875600526314680171274026539694702403005174953188629256313851881634780015693691768818523786840522878376293892143006558695686859645951555016447245098368960368873231143894155766510408839142923381132060524336294853170499157717562285497414389991880217624309652065642118273167262575395947172559346372386322614827426222086711558395999265211762526989175409881593486400834570851814722318142040704265090565323333984364578657967965192672923998753666172159825788602633636178274959942194037777536814262177387991945513972312740668983299898953867288228563786977496625199665835257761989393228453447356947949629521688914854925389047558288345260965240965428893945386466257449275563819644103169798330618520193793849400571563337205480685405758679996701213722394758214263065851322174088323829472876173936474678374319600015921888073478576172522118674904249773669292073110963697216089337086611567345853348332952546758516447107578486024636008</pre>
=={{header|C++}}==
<lang cpp>#include <iostream>
#include <math.h>
unsigned long long root(unsigned long long base, unsigned int n) {
if (base < 2) return base;
if (n == 0) return 1;
unsigned int n1 = n - 1;
unsigned long long n2 = n;
unsigned long long n3 = n1;
unsigned long long c = 1;
auto d = (n3 + base) / n2;
auto e = (n3 * d + base / pow(d, n1)) / n2;
while (c != d && c != e) {
c = d;
d = e;
e = (n3*e + base / pow(e, n1)) / n2;
}
if (d < e) return d;
return e;
}
int main() {
using namespace std;
cout << "3rd root of 8 = " << root(8, 3) << endl;
cout << "3rd root of 9 = " << root(9, 3) << endl;
unsigned long long b = 2e18;
cout << "2nd root of " << b << " = " << root(b, 2) << endl;
return 0;
}</lang>
{{out}}
<pre>3rd root of 8 = 2
3rd root of 9 = 2
2nd root of 2000000000000000000 = 1414213562</pre>
=={{header|D}}==
Line 694:
Both generate the same output as above.
=={{header|Phix}}==
Line 760 ⟶ 744:
See [[#Scheme]], there’s very little can be done to improve it.
=={{header|Raku}}==
(formerly Perl 6)
{{trans|Python}}
<lang perl6>sub integer_root ( Int $p where * >= 2, Int $n --> Int ) {
my Int $d = $p - 1;
my $guess = 10**($n.chars div $p);
my $iterator = { ( $d * $^x + $n div ($^x ** $d) ) div $p };
my $endpoint = { $^x ** $p <= $n
and ($^x + 1) ** $p > $n };
min (+$guess, $iterator ... $endpoint)[*-1, *-2];
}
say integer_root( 2, 2 * 100 ** 2000 );</lang>
{{out}}
<pre>141421356237309504880168872420969807856967187537694807317667973799073247846210703885038753432764157273501384623091229702492483605585073721264412149709993583141322266592750559275579995050115278206057147010955997160597027453459686201472851741864088919860955232923048430871432145083976260362799525140798968725339654633180882964062061525835239505474575028775996172983557522033753185701135437460340849884716038689997069900481503054402779031645424782306849293691862158057846311159666871301301561856898723723528850926486124949771542183342042856860601468247207714358548741556570696776537202264854470158588016207584749226572260020855844665214583988939443709265918003113882464681570826301005948587040031864803421948972782906410450726368813137398552561173220402450912277002269411275736272804957381089675040183698683684507257993647290607629969413804756548237289971803268024744206292691248590521810044598421505911202494413417285314781058036033710773091828693147101711116839165817268894197587165821521282295184884720896946338628915628827659526351405422676532396946175112916024087155101351504553812875600526314680171274026539694702403005174953188629256313851881634780015693691768818523786840522878376293892143006558695686859645951555016447245098368960368873231143894155766510408839142923381132060524336294853170499157717562285497414389991880217624309652065642118273167262575395947172559346372386322614827426222086711558395999265211762526989175409881593486400834570851814722318142040704265090565323333984364578657967965192672923998753666172159825788602633636178274959942194037777536814262177387991945513972312740668983299898953867288228563786977496625199665835257761989393228453447356947949629521688914854925389047558288345260965240965428893945386466257449275563819644103169798330618520193793849400571563337205480685405758679996701213722394758214263065851322174088323829472876173936474678374319600015921888073478576172522118674904249773669292073110963697216089337086611567345853348332952546758516447107578486024636008
</pre>
=={{header|REXX}}==
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