Fractions in pattern counts

[agners]

I tried making use of this project to cut stock in a real world application but realized that it returns pattern counts with fractions. This is not really practical for what I try to use it.

E.g. the Wikipedia example:

$ cat wikipedia.txt
5600
1380    22
1520    25
1560    12
1710    14
1820    18
1880    18
1930    20
2000    10
2050    12
2100    14
2140    16
2150    18
2200    20
$./bin/cutting_stock wikipedia.txt
Execution of the algorithm in 0.020760s.
Pattern { 4x1380 } x 0.250000
Pattern { 3x1820 } x 0.666667
Pattern { 1x1380  2x2100 } x 7.000000
Pattern { 1x1560  1x1880  1x2140 } x 7.000000
Pattern { 2x1710  1x2140 } x 3.000000
Pattern { 1x1380  1x2050  1x2150 } x 4.000000
Pattern { 1x1380  1x2000 1x2200} x 10.000000
Pattern { 1x1520  1x1930  1x2140 } x 6.000000
Pattern { 1x1820  2x1880 } x 3.000000
Pattern { 1x1710  1x1820  1x2050 } x 8.000000
Pattern { 1x1520  1x1880 1x2200} x 5.000000
Pattern { 1x1520  1x1930  1x2150 } x 14.000000
Pattern { 1x1560  1x1820 1x2200} x 5.000000
Objective value : 72.916667

The first two pattern return a fractional count. In this case they actually can be combined and lead to a pretty good optimization nonetheless, but this is not always the case.