partitions: Integer Partitions

In eguidotti/calculus: High Dimensional Numerical and Symbolic Calculus

Integer Partitions

Description

Provides fast algorithms for generating integer partitions.

Usage

partitions(n, max = 0, length = 0, perm = FALSE, fill = FALSE, equal = T)

Arguments

n	positive integer.
max	maximum integer in the partitions.
length	maximum number of elements in the partitions.
perm	logical. Permute partitions?
fill	logical. Fill partitions with zeros to match length?
equal	logical. Return only partition of n? If FALSE, partitions of all integers less or equal to n are returned.

Value

list of partitions, or matrix if length>0 and fill=TRUE.

References

Guidotti E (2022). "calculus: High-Dimensional Numerical and Symbolic Calculus in R." Journal of Statistical Software, 104(5), 1-37. doi: 10.18637/jss.v104.i05

Examples

### partitions of 4
partitions(4)

### partitions of 4 and permute
partitions(4, perm = TRUE)

### partitions of 4 with max element equal to 2
partitions(4, max = 2)

### partitions of 4 with 2 elements
partitions(4, length = 2)

### partitions of 4 with 3 elements, fill with zeros
partitions(4, length = 3, fill = TRUE)

### partitions of 4 with 2 elements, fill with zeros and permute
partitions(4, length = 2, fill = TRUE, perm = TRUE)

### partitions of all integers less or equal to 3 
partitions(3, equal = FALSE) 

### partitions of all integers less or equal to 3, fill to 2 elements and permute
partitions(3, equal = FALSE, length = 2, fill = TRUE, perm = TRUE) 

eguidotti/calculus documentation built on March 17, 2023, 5:18 a.m.