Merge branch 'for-slava' of git://www.rfc1149.net/factor
commit
706d538db1
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@ -1,14 +1,6 @@
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USING: help.markup help.syntax ;
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IN: math.algebra
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HELP: ext-euclidian
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{ $values { "a" "a positive integer" } { "b" "a positive integer" } { "gcd" "a positive integer" } { "u" "an integer" } { "v" "an integer" } }
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{ $description "Compute the greatest common divisor " { $snippet "gcd" } " of integers " { $snippet "a" } " and " { $snippet "b" } " using the extended Euclidian algorithm. In addition, this word also computes two other values " { $snippet "u" } " and " { $snippet "v" } " such that " { $snippet "a*u + b*v = gcd" } "." } ;
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HELP: ring-inverse
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{ $values { "a" "a positive integer" } { "b" "a positive integer" } { "i" "a positive integer" } }
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{ $description "If " { $snippet "a" } " and " { $snippet "b" } " are coprime, " { $snippet "i" } " is the smallest positive integer such as " { $snippet "a*i = 1" } " in ring " { $snippet "Z/bZ" } "." } ;
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HELP: chinese-remainder
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{ $values { "aseq" "a sequence of integers" } { "nseq" "a sequence of positive integers" } { "x" "an integer" } }
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{ $description "If " { $snippet "nseq" } " integers are pairwise coprimes, " { $snippet "x" } " is the smallest positive integer congruent to each element in " { $snippet "aseq" } " modulo the corresponding element in " { $snippet "nseq" } "." } ;
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@ -1,5 +1,3 @@
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USING: math.algebra tools.test ;
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{ 2 5 -2 } [ 10 24 ext-euclidian ] unit-test
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{ 17 } [ 19 23 ring-inverse ] unit-test
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{ 11 } [ { 2 3 1 } { 3 4 5 } chinese-remainder ] unit-test
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@ -1,37 +1,8 @@
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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: kernel math math.ranges namespaces sequences vars ;
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USING: kernel math math.functions sequences ;
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IN: math.algebra
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<PRIVATE
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! The traditional name for the first variable is "r", but we want to avoid
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! a redefinition of "r>" and ">r", so we chose to use "s" instead.
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VARS: s-1 u-1 v-1 s u v ;
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: init ( a b -- )
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>s >s-1 0 >u 1 >u-1 1 >v 0 >v-1 ;
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: advance ( r u v -- )
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v> >v-1 >v u> >u-1 >u s> >s-1 >s ; inline
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: step ( -- )
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s-1> s> 2dup /mod drop [ * - ] keep u-1> over u> * - v-1> rot v> * -
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advance ;
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PRIVATE>
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! Extended Euclidian: http://en.wikipedia.org/wiki/Extended_Euclidean_algorithm
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: ext-euclidian ( a b -- gcd u v )
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[ init [ s> 0 > ] [ step ] [ ] while s-1> u-1> v-1> ] with-scope ; foldable
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! Inverse a in ring Z/bZ
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: ring-inverse ( a b -- i )
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[ ext-euclidian drop nip ] keep rem ; foldable
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! Chinese remainder: http://en.wikipedia.org/wiki/Chinese_remainder_theorem
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: chinese-remainder ( aseq nseq -- x )
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dup product
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[ [ over / [ ext-euclidian ] keep * 2nip * ] curry 2map sum ] keep rem ;
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foldable
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[ [ over / [ swap gcd drop ] keep * * ] curry 2map sum ] keep rem ; foldable
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@ -34,9 +34,9 @@ IN: project-euler.134
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over 0 2array rot next-power-of-10 rot 2array chinese-remainder ;
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: euler134 ( -- answer )
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5 lprimes-from [ 1000000 > ] luntil [ [ s + ] keep ] leach drop ;
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0 5 lprimes-from uncons [ 1000000 > ] luntil [ [ s + ] keep ] leach drop ;
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! [ euler134 ] 10 ave-time
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! 6743 ms run / 79 ms GC ave time - 10 trials
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! 3797 ms run / 30 ms GC ave time - 10 trials
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MAIN: euler134
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@ -1,23 +1,21 @@
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! Copyright (c) 2007 Aaron Schaefer
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! See http://factorcode.org/license.txt for BSD license.
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USING: arrays effects inference io kernel math math.functions math.parser
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USING: arrays combinators io kernel math math.functions math.parser
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math.statistics namespaces sequences tools.time ;
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IN: project-euler.ave-time
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<PRIVATE
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: clean-stack ( quot -- )
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infer dup effect-out swap effect-in - [ drop ] times ;
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: ave-benchmarks ( seq -- pair )
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flip [ mean round ] map ;
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PRIVATE>
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: collect-benchmarks ( quot n -- seq )
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[
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1- [ [ benchmark ] keep -rot 2array , [ clean-stack ] keep ] times
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] curry { } make >r benchmark 2array r> swap add ; inline
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[
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>r >r datastack r> [ benchmark 2array , ] curry tuck
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[ with-datastack drop ] 2curry r> swap times call
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] { } make ;
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: ave-time ( quot n -- )
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[ collect-benchmarks ] keep swap ave-benchmarks [
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@ -1,11 +1,14 @@
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! Copyright (c) 2007 Aaron Schaefer.
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! See http://factorcode.org/license.txt for BSD license.
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USING: io io.files kernel math.parser namespaces sequences strings
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vocabs vocabs.loader system project-euler.ave-time
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USING: definitions io io.files kernel math.parser sequences strings
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vocabs vocabs.loader
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project-euler.001 project-euler.002 project-euler.003 project-euler.004
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project-euler.005 project-euler.006 project-euler.007 project-euler.008
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project-euler.009 project-euler.010 project-euler.011 project-euler.012
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project-euler.013 project-euler.014 project-euler.015 project-euler.016 ;
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project-euler.013 project-euler.014 project-euler.015 project-euler.016
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project-euler.017 project-euler.018 project-euler.019
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project-euler.067
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project-euler.134 ;
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IN: project-euler
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<PRIVATE
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print readln string>number ;
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: number>euler ( n -- str )
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number>string string>digits 3 0 pad-left [ number>string ] map concat ;
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number>string 3 CHAR: 0 pad-left ;
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: solution-path ( n -- str )
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number>euler dup [
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"project-euler" vocab-root ?resource-path %
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os "windows" = [
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"\\project-euler\\" % % "\\" % % ".factor" %
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] [
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"/project-euler/" % % "/" % % ".factor" %
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] if
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] "" make ;
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: solution-path ( n -- str/f )
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number>euler "project-euler." swap append vocab where
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dup [ first ?resource-path ] when ;
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PRIVATE>
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: problem-solved? ( n -- ? )
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solution-path exists? ;
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solution-path ;
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: run-project-euler ( -- )
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problem-prompt dup problem-solved? [
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