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Ingy döt Net 2025-02-27 18:35:13 -05:00
parent 8e4e15fa56
commit 72eb4943cb
1853 changed files with 35514 additions and 9441 deletions
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Task/Partition-function-P/ALGOL-68/partition-function-p.alg Normal file
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BEGIN # calculate the partition function of some integers #
# translated from the FreeBASIC sample #
PR precision 128 PR # set the number of digits for LONG LONG INT #
MODE PARTINT = LONG LONG INT;
PROC partitions p = ( INT n )PARTINT:
BEGIN
[ 0 : n ]PARTINT p; FOR i FROM LWB p TO UPB p DO p[ i ] := 0 OD;
p[ 0 ] := 1;
FOR i TO n DO
INT k := 0;
WHILE k +:= 1;
INT j := ( k * ( 3 * k - 1 ) ) OVER 2;
IF j > i
THEN FALSE # exit the loop #
ELSE IF ODD k THEN
p[ i ] +:= p[ i - j ]
ELSE
p[ i ] -:= p[ i - j ]
FI;
j +:= k;
IF j > i
THEN FALSE # exit the loop #
ELSE IF ODD k THEN
p[ i ] +:= p[ i - j ]
ELSE
p[ i ] -:= p[ i - j ]
FI;
TRUE # continue to loop #
FI
FI
DO SKIP OD
OD;
p[ n ]
END # partitions p # ;
BEGIN
print( ( "P(0..12):" ) );
FOR x FROM 0 TO 12 DO
print( ( " ", whole( partitions p( x ), 0 ) ) )
OD;
print( ( newline, "P(127): ", whole( partitions p( 127 ), 0 ) ) );
print( ( newline, "P(255): ", whole( partitions p( 255 ), 0 ) ) );
print( ( newline, "P(6666): ", whole( partitions p( 6666 ), 0 ) ) );
print( ( newline ) )
END
END