extInteger

Returns a extInteger.

Description

Extensions to Integer

Attributes Summary

Instance Methods

partitionByRatio	Partitions receiver into nearest integer parts by ratio.
partitionIntoCanonicParts	Partitions integer into canonic parts.
partitionIntoMaximallyEvenParts	Partitions integer into m maximally even parts using the Björklund algorithm.
partitionIntoPartsLessThanDouble	Partitions integer into parts less than double integer m.

Instance Methods

partitionByRatio

Partitions receiver into nearest integer parts by ratio.

Returns array of integers.

Example
```
10.partitionByRatio(#[1, 2]);
```
```
[ 3, 7 ]
```

Example

-10.partitionByRatio(#[1, 2]);

[ -3, -7 ]

Example
```
10.partitionByRatio(#[1]);
```
```
[ 10 ]
```

Example

10.partitionByRatio(#[1, -1, -1]);

[ 3, -4, -3 ]

Example

10.partitionByRatio(#[0.3, 0.1]);

[ 8, 2 ]

Example

10.partitionByRatio(1 ! 20);

[ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]

partitionIntoCanonicParts

Partitions integer into canonic parts.

Returns array of one or more integers.

Example

(1..16).collect { |n| [n, n.partitionIntoCanonicParts] }.join("\n");

[ 1, [ 1 ] ]
[ 2, [ 2 ] ]
[ 3, [ 3 ] ]
[ 4, [ 4 ] ]
[ 5, [ 4, 1 ] ]
[ 6, [ 6 ] ]
[ 7, [ 7 ] ]
[ 8, [ 8 ] ]
[ 9, [ 8, 1 ] ]
[ 10, [ 8, 2 ] ]
[ 11, [ 8, 3 ] ]
[ 12, [ 12 ] ]
[ 13, [ 12, 1 ] ]
[ 14, [ 14 ] ]
[ 15, [ 15 ] ]
[ 16, [ 16 ] ]

partitionIntoMaximallyEvenParts

Partitions integer into m maximally even parts using the Björklund algorithm.

Returns array of one or more integers.

Example

16.partitionIntoMaximallyEvenParts(7);

[ 2, 2, 3, 2, 2, 3, 2 ]

partitionIntoPartsLessThanDouble

Partitions integer into parts less than double integer m.

Returns array of one or more integers.

Example

(1..24).collect { |n| [n, n.partitionIntoPartsLessThanDouble(4)] }.join("\n");

[ 1, [ 1 ] ]
[ 2, [ 2 ] ]
[ 3, [ 3 ] ]
[ 4, [ 4 ] ]
[ 5, [ 5 ] ]
[ 6, [ 6 ] ]
[ 7, [ 7 ] ]
[ 8, [ 4, 4 ] ]
[ 9, [ 4, 5 ] ]
[ 10, [ 4, 6 ] ]
[ 11, [ 4, 7 ] ]
[ 12, [ 4, 4, 4 ] ]
[ 13, [ 4, 4, 5 ] ]
[ 14, [ 4, 4, 6 ] ]
[ 15, [ 4, 4, 7 ] ]
[ 16, [ 4, 4, 4, 4 ] ]
[ 17, [ 4, 4, 4, 5 ] ]
[ 18, [ 4, 4, 4, 6 ] ]
[ 19, [ 4, 4, 4, 7 ] ]
[ 20, [ 4, 4, 4, 4, 4 ] ]
[ 21, [ 4, 4, 4, 4, 5 ] ]
[ 22, [ 4, 4, 4, 4, 6 ] ]
[ 23, [ 4, 4, 4, 4, 7 ] ]
[ 24, [ 4, 4, 4, 4, 4, 4 ] ]