## A clustering example for levels 0 and 1

The guarantees and benefits of level 0 and level 1 can be seen with some examples. First, let us examine what happens with cluster values when shaping involves cluster merging with ligatures and decomposition.

Let's say we start with the following character sequence (top row) and initial cluster values (bottom row):

          A,B,C,D,E
          0,1,2,3,4

During shaping, HarfBuzz maps these characters to glyphs from the font. For simplicity, let us assume that each character maps to the corresponding, identical-looking glyph:

          A,B,C,D,E
          0,1,2,3,4

Now if, for example, `B` and `C` form a ligature, then the clusters to which they belong "merge". This merged cluster takes for its cluster value the minimum of all the cluster values of the clusters that went in to the ligature. In this case, we get:

          A,BC,D,E
          0,1 ,3,4

because 1 is the minimum of the set {1,2}, which were the cluster values of `B` and `C`.

Next, let us say that the `BC` ligature glyph decomposes into three components, and `D` also decomposes into two components. These components each inherit the cluster value of their parent:

          A,BC0,BC1,BC2,D0,D1,E
          0,1  ,1  ,1  ,3 ,3 ,4

Next, if `BC2` and `D0` form a ligature, then their clusters (cluster values 1 and 3) merge into `min(1,3) = 1`:

          A,BC0,BC1,BC2D0,D1,E
          0,1  ,1  ,1    ,1 ,4

At this point, cluster 1 means: the character sequence `BCD` is represented by glyphs `BC0,BC1,BC2D0,D1` and cannot be broken down any further.