Data Update
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206 changed files with 4762 additions and 965 deletions
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# FRACTRAN interpreter implemented as an iterable struct
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using .Iterators: filter, map, take
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import Base: iterate, show
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struct Fractran
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rs::Vector{Rational{BigInt}}
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i₀::BigInt
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limit::Int
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end
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iterate(f::Fractran, i = f.i₀) =
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Base.iterate(f::Fractran, i = f.i₀) =
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for r in f.rs
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if iszero(i % r.den) # faster than isinteger(i*r)
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if iszero(i % r.den)
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i = i ÷ r.den * r.num
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return (i, i)
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return i, i
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end
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end
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run(f::Fractran) = map(trailing_zeros, filter(ispow2, f))
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interpret(f::Fractran) =
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take(
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map(trailing_zeros,
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filter(ispow2, f))
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f.limit)
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show(io::IO, f::Fractran) = join(io, take(run(f), 30), ' ')
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Base.show(io::IO, f::Fractran) =
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join(io, interpret(f), ' ')
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macro code_str(s)
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eval(Meta.parse("[" * replace(s, "/" => "//") * "]"))
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[eval(Meta.parse(replace(t, "/" => "//"))) for t ∈ split(s)]
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end
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# Example FRACTRAN program generating primes
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primes = Fractran(code"17/91, 78/85, 19/51, 23/38, 29/33, 77/29, 95/23,
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77/19, 1/17, 11/13, 13/11, 15/14, 15/2, 55/1", 2)
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primes = Fractran(code"17/91 78/85 19/51 23/38 29/33 77/29 95/23
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77/19 1/17 11/13 13/11 15/14 15/2 55/1", 2, 30)
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# Output
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println("First 25 iterations of FRACTRAN program 'primes':\n2 ",
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