Remove unused and redundant math.erato
The math.erato module brings nothing more is brought by lprimes from math.primes. Remove it, as it has no user, and a better version is available in math.primes.erato anyway.db4
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USING: help.markup help.syntax ;
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IN: math.erato
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HELP: lerato
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{ $values { "n" "a positive number" } { "lazy-list" "a lazy prime numbers generator" } }
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{ $description "Builds a lazy list containing the prime numbers between 2 and " { $snippet "n" } " (inclusive)." } ;
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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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USING: lists.lazy math.erato tools.test ;
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IN: math.erato.tests
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[ { 2 3 5 7 11 13 17 19 } ] [ 20 lerato list>array ] unit-test
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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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USING: accessors bit-arrays fry kernel lists.lazy math math.functions
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math.primes.list math.ranges sequences ;
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IN: math.erato
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<PRIVATE
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TUPLE: erato limit bits latest ;
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: ind ( n -- i )
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2/ 1- ; inline
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: is-prime ( n limit -- bool )
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[ ind ] [ bits>> ] bi* nth ; inline
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: indices ( n erato -- range )
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limit>> ind over 3 * ind spin <range> ;
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: mark-multiples ( n erato -- )
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2dup [ sq ] [ limit>> ] bi* <= [
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[ indices ] keep bits>> '[ _ f -rot set-nth ] each
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] [ 2drop ] if ;
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: <erato> ( n -- erato )
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dup ind 1+ <bit-array> dup set-bits 1 erato boa ;
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: next-prime ( erato -- prime/f )
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[ 2 + ] change-latest [ latest>> ] keep
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2dup limit>> <= [
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2dup is-prime [ dupd mark-multiples ] [ nip next-prime ] if
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] [
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2drop f
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] if ;
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PRIVATE>
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: lerato ( n -- lazy-list )
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dup 1000003 < [
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0 primes-under-million seq>list swap '[ _ <= ] lwhile
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] [
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<erato> 2 [ drop next-prime ] with lfrom-by [ ] lwhile
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] if ;
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