56 lines
1.5 KiB
Factor
56 lines
1.5 KiB
Factor
! Copyright (C) 2008, 2010 Slava Pestov.
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! See http://factorcode.org/license.txt for BSD license.
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!
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! Factor port of
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! http://shootout.alioth.debian.org/gp4/benchmark.php?test=spectralnorm&lang=all
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USING: alien.c-types io kernel math math.functions math.parser
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math.vectors sequences sequences.private specialized-arrays
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typed locals ;
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SPECIALIZED-ARRAY: double
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IN: benchmark.spectral-norm
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:: inner-loop ( u n quot -- seq )
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n iota [| i |
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n iota 0.0 [| j |
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u i j quot call +
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] reduce
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] double-array{ } map-as ; inline
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: eval-A ( i j -- n )
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[ >float ] bi@
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[ drop ] [ + [ ] [ 1 + ] bi * 0.5 * ] 2bi
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+ 1 + recip ; inline
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: (eval-A-times-u) ( u i j -- x )
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[ swap nth-unsafe ] [ eval-A ] bi-curry bi* * ; inline
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: eval-A-times-u ( n u -- seq )
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[ (eval-A-times-u) ] inner-loop ; inline
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: (eval-At-times-u) ( u i j -- x )
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[ swap nth-unsafe ] [ swap eval-A ] bi-curry bi* * ; inline
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: eval-At-times-u ( u n -- seq )
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[ (eval-At-times-u) ] inner-loop ; inline
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: eval-AtA-times-u ( u n -- seq )
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[ eval-A-times-u ] [ eval-At-times-u ] bi ; inline
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: ones ( n -- seq ) [ 1.0 ] double-array{ } replicate-as ; inline
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:: u/v ( n -- u v )
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n ones dup
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10 [
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drop
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n eval-AtA-times-u
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[ n eval-AtA-times-u ] keep
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] times ; inline
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TYPED: spectral-norm ( n: fixnum -- norm )
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u/v [ v. ] [ norm-sq ] bi /f sqrt ;
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: spectral-norm-main ( -- )
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2000 spectral-norm number>string print ;
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MAIN: spectral-norm-main
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