project-euler.common: cleanup.
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! Copyright (c) 2007-2010 Aaron Schaefer.
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! The contents of this file are licensed under the Simplified BSD License
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! A copy of the license is available at http://factorcode.org/license.txt
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USING: accessors arrays byte-arrays fry hints kernel lists make math
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math.functions math.matrices math.order math.parser math.primes.factors
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math.primes.lists math.primes.miller-rabin math.ranges math.ratios
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math.vectors namespaces parser prettyprint quotations sequences sorting
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strings unicode vocabs vocabs.parser words ;
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USING: accessors arrays byte-arrays fry hints kernel lists make
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math math.functions math.matrices math.order math.parser
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math.primes.factors math.primes.lists math.ranges math.ratios
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math.vectors parser prettyprint sequences sorting strings
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unicode vocabs.parser words ;
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IN: project-euler.common
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! A collection of words used by more than one Project Euler solution
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@ -38,39 +38,19 @@ IN: project-euler.common
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: perfect-square? ( n -- ? )
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dup sqrt mod zero? ;
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<PRIVATE
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: count-digits ( n -- byte-array )
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10 <byte-array> [
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'[ 10 /mod _ [ 1 + ] change-nth dup 0 > ] loop drop
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] keep ;
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HINTS: count-digits fixnum ;
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: max-children ( seq -- seq )
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[ dup length 1 - <iota> [ nth-pair max , ] with each ] { } make ;
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! Propagate one row into the upper one
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: propagate ( bottom top -- newtop )
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[ over rest rot first2 max rot + ] map nip ;
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: (sum-divisors) ( n -- sum )
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dup sqrt >integer [1,b] [
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[ 2dup divisor? [ 2dup / + , ] [ drop ] if ] each
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dup perfect-square? [ sqrt >fixnum neg , ] [ drop ] if
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] { } make sum ;
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: transform ( triple matrix -- new-triple )
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[ 1array ] dip m. first ;
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PRIVATE>
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: alpha-value ( str -- n )
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>lower [ CHAR: a - 1 + ] map-sum ;
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: mediant ( a/c b/d -- (a+b)/(c+d) )
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2>fraction [ + ] 2bi@ / ;
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<PRIVATE
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: max-children ( seq -- seq )
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[ dup length 1 - <iota> [ nth-pair max , ] with each ] { } make ;
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PRIVATE>
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: max-path ( triangle -- n )
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dup length 1 > [
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2 cut* first2 max-children v+ suffix max-path
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@ -113,6 +93,14 @@ PRIVATE>
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: penultimate ( seq -- elt )
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dup length 2 - swap nth ;
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<PRIVATE
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! Propagate one row into the upper one
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: propagate ( bottom top -- newtop )
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[ over rest rot first2 max rot + ] map nip ;
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PRIVATE>
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! Not strictly needed, but it is nice to be able to dump the
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! triangle after the propagation
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: propagate-all ( triangle -- new-triangle )
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@ -120,9 +108,30 @@ PRIVATE>
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[ propagate dup ] map nip
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reverse swap suffix ;
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<PRIVATE
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: count-digits ( n -- byte-array )
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10 <byte-array> [
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'[ 10 /mod _ [ 1 + ] change-nth dup 0 > ] loop drop
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] keep ;
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HINTS: count-digits fixnum ;
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PRIVATE>
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: permutations? ( n m -- ? )
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[ count-digits ] same? ;
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<PRIVATE
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: (sum-divisors) ( n -- sum )
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dup sqrt >integer [1,b] [
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[ 2dup divisor? [ 2dup / + , ] [ drop ] if ] each
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dup perfect-square? [ sqrt >fixnum neg , ] [ drop ] if
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] { } make sum ;
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PRIVATE>
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: sum-divisors ( n -- sum )
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dup 4 < [ { 0 1 3 4 } nth ] [ (sum-divisors) ] if ;
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@ -150,6 +159,13 @@ PRIVATE>
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dupd divisor? [ [ 2 + ] dip ] when
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] each drop * ;
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<PRIVATE
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: transform ( triple matrix -- new-triple )
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[ 1array ] dip m. first ;
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PRIVATE>
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! These transforms are for generating primitive Pythagorean triples
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: u-transform ( triple -- new-triple )
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{ { 1 2 2 } { -2 -1 -2 } { 2 2 3 } } transform ;
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