June 2018 Update

This commit is contained in:
Ingy döt Net 2018-06-22 20:57:24 +00:00
parent ba8067c3b7
commit 22f33d4004
5278 changed files with 84726 additions and 14379 deletions

View file

@ -1,27 +1,37 @@
import: mapping
import: quicksort
import: math
Object method: sum ( coll -- m )
#+ self reduce dup ifNull: [ drop 0 ] ;
Integer method: properDivs
| i l |
ListBuffer new dup add(1) ->l
2 self nsqrt tuck for: i [ self i mod ifFalse: [ l add(i) l add(self i / ) ] ]
sq self == ifTrue: [ l removeLast drop ]
l sort ;
Array new dup 1 over add ->l
2 self nsqrt tuck for: i [ self i mod ifFalse: [ i l add self i / l add ] ]
sq self == ifTrue: [ l pop drop ]
dup sort
;
: aliquot(n) // ( n -- aList ) : Returns aliquot sequence of n
: aliquot( n -- [] ) \ Returns aliquot sequence of n
| end l |
2 47 pow ->end
ListBuffer new dup add(n) dup ->l
while (l size 16 < l last 0 <> and l last end <= and) [ l last properDivs sum l add ] ;
Array new dup n over add ->l
while ( l size 16 < l last 0 <> and l last end <= and ) [ l last properDivs sum l add ]
;
: aliquotClass(n) // ( n -- aList aString ) : Returns aliquot sequence and classification
: aliquotClass( n -- [] s ) \ Returns aliquot sequence and classification
| l i j |
n aliquot dup ->l
l last 0 == ifTrue: [ "terminate" return ]
l second n == ifTrue: [ "perfect" return ]
l third n == ifTrue: [ "amicable" return ]
3 l at n == ifTrue: [ "amicable" return ]
l indexOfFrom(n, 2) ifNotNull: [ "sociable" return ]
l size loop: i [
l indexOfFrom(l at(i), i 1 +) -> j
j i 1 + == ifTrue: [ "aspiring" return ]
l indexOfFrom(l at(i), i 1+ ) -> j
j i 1+ == ifTrue: [ "aspiring" return ]
j ifNotNull: [ "cyclic" return ]
]
"non-terminating" ;
"non-terminating"
;