Simplify totient in math.primes.factors

db4
Aaron Schaefer 2008-01-14 02:38:23 -05:00
parent 0d166264c8
commit 12b24af934
1 changed files with 15 additions and 15 deletions

View File

@ -6,36 +6,36 @@ IN: math.primes.factors
<PRIVATE
: (factor) ( n d -- n' )
2dup mod zero? [ [ / ] keep dup , (factor) ] [ drop ] if ;
2dup mod zero? [ [ / ] keep dup , (factor) ] [ drop ] if ;
: (count) ( n d -- n' )
[ (factor) ] { } make
dup empty? [ drop ] [ [ first ] keep length 2array , ] if ;
[ (factor) ] { } make
dup empty? [ drop ] [ [ first ] keep length 2array , ] if ;
: (unique) ( n d -- n' )
[ (factor) ] { } make
dup empty? [ drop ] [ first , ] if ;
[ (factor) ] { } make
dup empty? [ drop ] [ first , ] if ;
: (factors) ( quot list n -- )
dup 1 > [ swap uncons >r pick call r> swap (factors) ] [ 3drop ] if ;
dup 1 > [ swap uncons >r pick call r> swap (factors) ] [ 3drop ] if ;
: (decompose) ( n quot -- seq )
[ lprimes rot (factors) ] { } make ;
[ lprimes rot (factors) ] { } make ;
PRIVATE>
: factors ( n -- seq )
[ (factor) ] (decompose) ; foldable
[ (factor) ] (decompose) ; foldable
: count-factors ( n -- seq )
[ (count) ] (decompose) ; foldable
[ (count) ] (decompose) ; foldable
: unique-factors ( n -- seq )
[ (unique) ] (decompose) ; foldable
[ (unique) ] (decompose) ; foldable
: totient ( n -- t )
dup 2 < [
drop 0
] [
[ unique-factors dup 1 [ 1- * ] reduce swap product / ] keep *
] if ; foldable
dup 2 < [
drop 0
] [
dup unique-factors dup 1 [ 1- * ] reduce swap product / *
] if ; foldable