Pisano period: Difference between revisions

Rename Perl 6 -> Raku, alphabetize, minor clean-up
m (→‎{{header|Haskell}}: Perhaps a few more (if-then-else) -> guards + pattern matching ? (OP may prefer to revert))
(Rename Perl 6 -> Raku, alphabetize, minor clean-up)
Line 36:
*  [[Prime decomposition]]
*  [[Least common multiple]]
 
 
=={{header|Factor}}==
Line 657 ⟶ 656:
50 36 72 240 60 168 316 78 216 240 48 216 328 120 40
168 336 48 364 180 72 264 348 168 400 120 232 132 178 120</pre>
 
=={{header|Perl 6}}==
{{works with|Rakudo|2020.02}}
Didn't bother making two differently named routines, just made a multi that will auto dispatch to the correct candidate.
<lang perl6>use Prime::Factor;
 
constant @fib := 1,1,*+*…*;
 
my %cache;
 
multi pisano-period (Int $p where *.is-prime, Int $k where * > 0 = 1) {
return %cache{"$p|$k"} if %cache{"$p|$k"};
my $fibmod = @fib.map: * % $p**$k;
%cache{"$p|$k"} = (1..*).first: { !$fibmod[$_-1] and ($fibmod[$_] == 1) }
}
 
multi pisano-period (Int $p where * > 0 ) {
[lcm] prime-factors($p).Bag.map: { samewith .key, .value }
}
 
 
put "Pisano period (p, 2) for primes less than 50";
put (map { pisano-period($_, 2) }, ^50 .grep: *.is-prime )».fmt('%4d');
 
put "\nPisano period (p, 1) for primes less than 180";
.put for (map { pisano-period($_, 1) }, ^180 .grep: *.is-prime )».fmt('%4d').batch(15);
 
put "\nPisano period (p, 1) for integers 1 to 180";
.put for (1..180).map( { pisano-period($_) } )».fmt('%4d').batch(15);</lang>
{{out}}
<pre>Pisano period (p, 2) for primes less than 50
6 24 100 112 110 364 612 342 1104 406 930 2812 1640 3784 1504
 
Pisano period (p, 1) for primes less than 180
3 8 20 16 10 28 36 18 48 14 30 76 40 88 32
108 58 60 136 70 148 78 168 44 196 50 208 72 108 76
256 130 276 46 148 50 316 328 336 348 178
 
Pisano period (p, 1) for integers 1 to 180
1 3 8 6 20 24 16 12 24 60 10 24 28 48 40
24 36 24 18 60 16 30 48 24 100 84 72 48 14 120
30 48 40 36 80 24 76 18 56 60 40 48 88 30 120
48 32 24 112 300 72 84 108 72 20 48 72 42 58 120
60 30 48 96 140 120 136 36 48 240 70 24 148 228 200
18 80 168 78 120 216 120 168 48 180 264 56 60 44 120
112 48 120 96 180 48 196 336 120 300 50 72 208 84 80
108 72 72 108 60 152 48 76 72 240 42 168 174 144 120
110 60 40 30 500 48 256 192 88 420 130 120 144 408 360
36 276 48 46 240 32 210 140 24 140 444 112 228 148 600
50 36 72 240 60 168 316 78 216 240 48 216 328 120 40
168 336 48 364 180 72 264 348 168 400 120 232 132 178 120</pre>
 
=={{header|Phix}}==
Line 862 ⟶ 810:
48 216 328 120 40 168 336 48 364 180
72 264 348 168 400 120 232 132 178 120</pre>
 
=={{header|Raku}}==
(formerly Perl 6)
{{works with|Rakudo|2020.02}}
Didn't bother making two differently named routines, just made a multi that will auto dispatch to the correct candidate.
<lang perl6>use Prime::Factor;
 
constant @fib := 1,1,*+*…*;
 
my %cache;
 
multi pisano-period (Int $p where *.is-prime, Int $k where * > 0 = 1) {
return %cache{"$p|$k"} if %cache{"$p|$k"};
my $fibmod = @fib.map: * % $p**$k;
%cache{"$p|$k"} = (1..*).first: { !$fibmod[$_-1] and ($fibmod[$_] == 1) }
}
 
multi pisano-period (Int $p where * > 0 ) {
[lcm] prime-factors($p).Bag.map: { samewith .key, .value }
}
 
 
put "Pisano period (p, 2) for primes less than 50";
put (map { pisano-period($_, 2) }, ^50 .grep: *.is-prime )».fmt('%4d');
 
put "\nPisano period (p, 1) for primes less than 180";
.put for (map { pisano-period($_, 1) }, ^180 .grep: *.is-prime )».fmt('%4d').batch(15);
 
put "\nPisano period (p, 1) for integers 1 to 180";
.put for (1..180).map( { pisano-period($_) } )».fmt('%4d').batch(15);</lang>
{{out}}
<pre>Pisano period (p, 2) for primes less than 50
6 24 100 112 110 364 612 342 1104 406 930 2812 1640 3784 1504
 
Pisano period (p, 1) for primes less than 180
3 8 20 16 10 28 36 18 48 14 30 76 40 88 32
108 58 60 136 70 148 78 168 44 196 50 208 72 108 76
256 130 276 46 148 50 316 328 336 348 178
 
Pisano period (p, 1) for integers 1 to 180
1 3 8 6 20 24 16 12 24 60 10 24 28 48 40
24 36 24 18 60 16 30 48 24 100 84 72 48 14 120
30 48 40 36 80 24 76 18 56 60 40 48 88 30 120
48 32 24 112 300 72 84 108 72 20 48 72 42 58 120
60 30 48 96 140 120 136 36 48 240 70 24 148 228 200
18 80 168 78 120 216 120 168 48 180 264 56 60 44 120
112 48 120 96 180 48 196 336 120 300 50 72 208 84 80
108 72 72 108 60 152 48 76 72 240 42 168 174 144 120
110 60 40 30 500 48 256 192 88 420 130 120 144 408 360
36 276 48 46 240 32 210 140 24 140 444 112 228 148 600
50 36 72 240 60 168 316 78 216 240 48 216 328 120 40
168 336 48 364 180 72 264 348 168 400 120 232 132 178 120</pre>
 
=={{header|REXX}}==
10,327

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