Pythagorean triples: Difference between revisions
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There are 64741 triples, below 100000. Of which 7026 are primitives. |
There are 64741 triples, below 100000. Of which 7026 are primitives. |
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There are 808950 triples, below 1000000. Of which 70229 are primitives. |
There are 808950 triples, below 1000000. Of which 70229 are primitives. |
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</pre> |
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=={{header|Elixir}}== |
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{{trans|Ruby}} |
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<lang elixir>defmodule RC do |
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def count_triples(limit), do: count_triples(limit,3,4,5) |
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defp count_triples(limit, a, b, c) when limit<(a+b+c), do: {0,0} |
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defp count_triples(limit, a, b, c) do |
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{p1, t1} = count_triples(limit, a-2*b+2*c, 2*a-b+2*c, 2*a-2*b+3*c) |
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{p2, t2} = count_triples(limit, a+2*b+2*c, 2*a+b+2*c, 2*a+2*b+3*c) |
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{p3, t3} = count_triples(limit,-a+2*b+2*c,-2*a+b+2*c,-2*a+2*b+3*c) |
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{1+p1+p2+p3, div(limit, a+b+c)+t1+t2+t3} |
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end |
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end |
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list = for n <- 1..8, do: Enum.reduce(1..n, 1, fn(_,acc)->10*acc end) |
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Enum.each(list, fn n -> IO.inspect {n, RC.count_triples(n)} end)</lang> |
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{{out}} |
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<pre> |
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{10, {0, 0}} |
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{100, {7, 17}} |
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{1000, {70, 325}} |
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{10000, {703, 4858}} |
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{100000, {7026, 64741}} |
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{1000000, {70229, 808950}} |
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{10000000, {702309, 9706567}} |
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{100000000, {7023027, 113236940}} |
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</pre> |
</pre> |
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@limit = limit |
@limit = limit |
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@total = 0 |
@total = 0 |
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@ |
@primitives = 0 |
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generate_triples(3, 4, 5) |
generate_triples(3, 4, 5) |
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end |
end |
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attr_reader :total, : |
attr_reader :total, :primitives |
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private |
private |
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return if perim > @limit |
return if perim > @limit |
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@ |
@primitives += 1 |
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@total += @limit / perim |
@total += @limit / perim |
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while perim <= 100_000_000 |
while perim <= 100_000_000 |
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c = PythagoranTriplesCounter.new perim |
c = PythagoranTriplesCounter.new perim |
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p [perim, c.total, c. |
p [perim, c.total, c.primitives] |
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perim *= 10 |
perim *= 10 |
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end</lang> |
end</lang> |
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