math.extras: adding more permutation-bits words.

db4
John Benediktsson 2013-04-10 15:51:58 -07:00
parent 83659c228a
commit dd94812561
3 changed files with 37 additions and 7 deletions

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@ -91,6 +91,6 @@ HELP: next-permutation-bits
{ $values { "v" integer } { "w" integer } }
{ $description "Generates the next bitwise permutation with the same number of set bits, given a previous lexicographical value." } ;
HELP: permutation-bits
HELP: all-permutation-bits
{ $values { "bit-count" integer } { "bits" integer } { "seq" sequence } }
{ $description "Generates all permutations of numbers with a given bit-count and number of bits." } ;

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@ -138,4 +138,11 @@ IN: math.extras.test
0b00111 0b01011 0b01101 0b01110 0b10011
0b10101 0b10110 0b11001 0b11010 0b11100
}
} [ 3 5 permutation-bits ] unit-test
} [ 3 5 all-permutation-bits ] unit-test
{ { 14 22 26 28 38 42 44 50 52 56 } } [ 3 5 [ 2 * ] map-permutation-bits ] unit-test
{ V{ 14 22 26 28 } } [ 3 5 [ even? ] filter-permutation-bits ] unit-test
{ 14 } [ 3 5 [ even? ] find-permutation-bits ] unit-test
{ f } [ 3 5 [ 0 < ] find-permutation-bits ] unit-test

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@ -261,9 +261,32 @@ M: float round-to-even
: next-permutation-bits ( v -- w )
[ dup 1 - bitor 1 + dup ] keep
[ dup neg bitand ] bi@ /i -1 shift 1 - bitor ;
[ dup neg bitand ] bi@ /i 2/ 1 - bitor ;
: permutation-bits ( bit-count bits -- seq )
[ on-bits dup '[ dup _ >= ] ]
[ on-bits '[ [ next-permutation-bits _ bitand ] keep ] ]
bi* produce nip ;
<PRIVATE
: permutation-bits-quot ( bit-count bits quot -- n pred body )
[ [ on-bits dup '[ dup _ >= ] ] [ on-bits ] bi* ] dip swap
'[ _ [ next-permutation-bits _ bitand ] bi ] ; inline
PRIVATE>
: each-permutation-bits ( ... bit-count bits quot: ( ... n -- ... ) -- ... )
permutation-bits-quot while drop ; inline
: map-permutation-bits ( ... bit-count bits quot: ( ... n -- ... m ) -- ... seq )
permutation-bits-quot [ swap ] compose produce nip ; inline
: filter-permutation-bits ( ... bit-count bits quot: ( ... n -- ... ? ) -- ... seq )
selector [ each-permutation-bits ] dip ; inline
: all-permutation-bits ( bit-count bits -- seq )
[ ] map-permutation-bits ;
: find-permutation-bits ( ... bit-count bits quot: ( ... n -- ... ? ) -- ... elt/f )
[ f f ] 3dip [ 2nip ] prepose [ keep swap ] curry
permutation-bits-quot [ [ pick not and ] compose ] dip
while drop swap and ; inline
: reduce-permutation-bits ( ... bit-count bits identity quot: ( ... prev elt -- ... next ) -- ... result )
[ -rot ] dip each-permutation-bits ; inline