Optimize primes-between
Rather than having primes-between return a slice of primes-upto, make primes-upto use primes-between. Also, those two words cannot be marked as foldable as their output is mutable.db4
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! Copyright (C) 2007 Samuel Tardieu.
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! Copyright (C) 2007 Samuel Tardieu.
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! See http://factorcode.org/license.txt for BSD license.
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! See http://factorcode.org/license.txt for BSD license.
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USING: binary-search combinators kernel lists.lazy math math.functions
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USING: combinators kernel lists.lazy math math.functions
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math.miller-rabin math.primes.erato math.ranges sequences ;
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math.miller-rabin math.order math.primes.erato math.ranges sequences ;
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IN: math.primes
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IN: math.primes
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<PRIVATE
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<PRIVATE
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@ -28,15 +28,11 @@ PRIVATE>
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: lprimes-from ( n -- list )
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: lprimes-from ( n -- list )
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dup 3 < [ drop lprimes ] [ 1- next-prime [ next-prime ] lfrom-by ] if ;
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dup 3 < [ drop lprimes ] [ 1- next-prime [ next-prime ] lfrom-by ] if ;
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: primes-upto ( n -- seq )
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dup 2 < [
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drop V{ }
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] [
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3 swap 2 <range> [ prime? ] filter 2 prefix
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] if ; foldable
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: primes-between ( low high -- seq )
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: primes-between ( low high -- seq )
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primes-upto [ 1- next-prime ] dip
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[ dup 3 max dup even? [ 1 + ] when ] dip
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[ natural-search drop ] [ length ] [ ] tri <slice> ; foldable
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2 <range> [ prime? ] filter
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swap 3 < [ 2 prefix ] when ;
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: primes-upto ( n -- seq ) 2 swap primes-between ;
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: coprime? ( a b -- ? ) gcd nip 1 = ; foldable
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: coprime? ( a b -- ? ) gcd nip 1 = ; foldable
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