Eisenstein primes: Difference between revisions

Content added Content deleted
(Added Perl (in the right place))
(Added Sidef)
Line 375:
 
=={{header|Raku}}==
<syntaxhighlight lang="perl6raku" line>
my \ω = exp 2i × π/3;
 
Line 414:
-0.5000 -7.7942i -7.0000 +3.4641i +0.5000 -7.7942i -6.5000 +4.3301i
+6.5000 -4.3301i -0.5000 +7.7942i +7.0000 -3.4641i +0.5000 +7.7942i
</pre>
 
=={{header|Sidef}}==
{{trans|Raku}}
<syntaxhighlight lang="ruby" line>class Eisenstein(a, b, w = (-1 + sqrt(3).i)/2) {
method norm {
a**2 - a*b + b**2
}
 
method to_s {
sprintf('%+8.4f%+8.4fi', reals(a + b*w))
}
}
 
var E = []
 
for e in (-10..10 ~X -10..10 -> map_2d {|x,y| Eisenstein(x,y) }) {
var c = [e.a,e.b].map{.abs}.max
if (
((0 ~~ [e.a, e.b]) || (e.a == e.b)) ?
(c.is_congruent(2,3) && c.is_prime) : e.norm.is_prime
) {
E << e
}
}
 
E.sort_by { .norm }.first(100).slices(4).each {|s|
say s.join(' ')
}</syntaxhighlight>
{{out}}
<pre>
-1.5000 -0.8660i +0.0000 -1.7321i -1.5000 +0.8660i +1.5000 -0.8660i
+0.0000 +1.7321i +1.5000 +0.8660i -1.0000 -1.7321i -2.0000 +0.0000i
+1.0000 -1.7321i -1.0000 +1.7321i +2.0000 +0.0000i +1.0000 +1.7321i
-2.0000 -1.7321i -2.5000 -0.8660i -0.5000 -2.5981i -2.5000 +0.8660i
+0.5000 -2.5981i -2.0000 +1.7321i +2.0000 -1.7321i -0.5000 +2.5981i
+2.5000 -0.8660i +0.5000 +2.5981i +2.5000 +0.8660i +2.0000 +1.7321i
-2.5000 -2.5981i -3.5000 -0.8660i -1.0000 -3.4641i -3.5000 +0.8660i
+1.0000 -3.4641i -2.5000 +2.5981i +2.5000 -2.5981i -1.0000 +3.4641i
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-3.5000 -2.5981i -4.0000 -1.7321i -0.5000 -4.3301i -4.0000 +1.7321i
+0.5000 -4.3301i -3.5000 +2.5981i +3.5000 -2.5981i -0.5000 +4.3301i
+4.0000 -1.7321i +0.5000 +4.3301i +4.0000 +1.7321i +3.5000 +2.5981i
-2.5000 -4.3301i -5.0000 +0.0000i +2.5000 -4.3301i -2.5000 +4.3301i
+5.0000 +0.0000i +2.5000 +4.3301i -3.5000 -4.3301i -5.5000 -0.8660i
-2.0000 -5.1962i -5.5000 +0.8660i +2.0000 -5.1962i -3.5000 +4.3301i
+3.5000 -4.3301i -2.0000 +5.1962i +5.5000 -0.8660i +2.0000 +5.1962i
+5.5000 +0.8660i +3.5000 +4.3301i -5.0000 -3.4641i -5.5000 -2.5981i
-0.5000 -6.0622i -5.5000 +2.5981i +0.5000 -6.0622i -5.0000 +3.4641i
+5.0000 -3.4641i -0.5000 +6.0622i +5.5000 -2.5981i +0.5000 +6.0622i
+5.5000 +2.5981i +5.0000 +3.4641i -4.0000 -5.1962i -6.5000 -0.8660i
-2.5000 -6.0622i -6.5000 +0.8660i +2.5000 -6.0622i -4.0000 +5.1962i
+4.0000 -5.1962i -2.5000 +6.0622i +6.5000 -0.8660i +2.5000 +6.0622i
+6.5000 +0.8660i +4.0000 +5.1962i -6.5000 -4.3301i -7.0000 -3.4641i
-0.5000 -7.7942i -7.0000 +3.4641i +0.5000 -7.7942i -6.5000 +4.3301i
+6.5000 -4.3301i -0.5000 +7.7942i +7.0000 -3.4641i +0.5000 +7.7942i
</pre>