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D.15.4.52 part

Procedure from library chern.lib (see chern_lib).

Usage:
part( m, n ); m positive integer, n non-negative integer

Return:
list of lists

Purpose:
computes all partitions of integers not exceeding n into m non-negative summands

Note:
if n is negative or m is non-positive, the list with one empty entry is returned

Example:
 
LIB "chern.lib";
// partitions into 3 summands of numbers not exceeding 1
print( part(3, 1) );
==> [1]:
==>    [1]:
==>       0
==>    [2]:
==>       0
==>    [3]:
==>       0
==> [2]:
==>    [1]:
==>       0
==>    [2]:
==>       0
==>    [3]:
==>       1
==> [3]:
==>    [1]:
==>       0
==>    [2]:
==>       1
==>    [3]:
==>       1
==> [4]:
==>    [1]:
==>       1
==>    [2]:
==>       1
==>    [3]:
==>       1