benchmark.spectral-norm-simd: SIMD implementation of spectral-norm algorithm using SIMD primitives, about 40% faster but takes ages to compile -- good compile-time benchmark

extra/benchmark/spectral-norm-simd/authors.txt

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+Marc Fauconneau

extra/benchmark/spectral-norm-simd/spectral-norm-simd.factor

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+! Copyright (C) 2010 Marc Fauconneau.
+! See http://factorcode.org/license.txt for BSD license.
+USING: alien.c-types specialized-arrays kernel math
+math.functions math.vectors sequences sequences.private
+prettyprint words typed locals math.vectors.simd
+math.vectors.simd.cords ;
+SPECIALIZED-ARRAYS: double double-4 ;
+IN: benchmark.spectral-norm-simd
+
+:: inner-loop ( u n quot -- seq )
+    n 4 /i iota [| i |
+        n iota [| j | u i j quot call ] [ v+ ] map-reduce
+    ] double-4-array{ } map-as ; inline
+
+: eval-A ( i j -- n )
+    [ >float ] bi@
+    [ drop ] [ + [ ] [ 1 + ] bi * 0.5 * ] 2bi
+    + 1 + ; inline
+
+: vrecip ( u -- v ) double-4{ 1.0 1.0 1.0 1.0 } swap v/ ; inline
+
+:: eval4-A ( i j -- n )
+    i 4 * 0 + j eval-A
+    i 4 * 1 + j eval-A
+    i 4 * 2 + j eval-A
+    i 4 * 3 + j eval-A
+    double-4-boa vrecip ; inline
+
+: (eval-A-times-u) ( u i j -- x )
+    [ swap nth-unsafe ] [ eval4-A ] bi-curry bi* n*v ; inline
+
+: eval-A-times-u ( n u -- seq )
+    [ (eval-A-times-u) ] inner-loop ; inline
+    
+:: eval4-A' ( i j -- n )
+    j i 4 * 0 + eval-A
+    j i 4 * 1 + eval-A
+    j i 4 * 2 + eval-A
+    j i 4 * 3 + eval-A
+    double-4-boa vrecip ; inline
+
+: (eval-At-times-u) ( u i j -- x )
+    [ swap nth-unsafe ] [ eval4-A' ] bi-curry bi* n*v ; inline
+
+: eval-At-times-u ( u n -- seq )
+    [ double-array-cast ] dip [ (eval-At-times-u) ] inner-loop ; inline
+
+: eval-AtA-times-u ( u n -- seq )
+    [ double-array-cast ] dip [ eval-A-times-u ] [ eval-At-times-u ] bi ; inline
+
+: ones ( n -- seq )
+    4 /i [ double-4{ 1.0 1.0 1.0 1.0 } ] double-4-array{ } replicate-as ; inline
+
+:: u/v ( n -- u v )
+    n ones dup
+    10 [
+        drop
+        n eval-AtA-times-u
+        [ n eval-AtA-times-u ] keep
+    ] times ; inline
+
+TYPED: spectral-norm ( n: fixnum -- norm )
+    u/v [ double-array-cast ] bi@ [ v. ] [ norm-sq ] bi /f sqrt ;
+
+: spectral-norm-main ( -- )
+    2000 spectral-norm . ;
+
+MAIN: spectral-norm-main