TreeElementSizeFunction

is an option for Tree and related functions that specifies a function to use to generate sizes for subtree elements.

Details

TreeElementSizeFunction allows specifying the function to generate the size of the root node of a tree, as well as that of any subtree at positions matching a pattern.
The following settings can be used:

	Automatic	use the automatic setting for the size function
	func	a general subtree element size function
	{pos₁func₁,pos₂func₂,…}	use subtree element size function func_i at position pos_i
	{patt₁func₁,patt₂func₂,…}	use func_i at positions matching the pattern patt_i

TreeElementSizeFunction specifications override TreeElementSize specifications.
TreeElementSizeFunctionfunc specifies that the size of the root node should be provided by func[data], where data is the data in the root.
In TreeElementSizeFunction, Allfunc uses func for all subtrees.
In TreeElementSizeFunction, TreeCases[pattern]func uses func for all subtrees with data matching pattern.

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Specify an individual subtree element size:

Specify all subtree element sizes:

Use the same size function for all subtree elements:

Specify positions using position patterns:

Specify positions using data patterns:

Sizes for subtree elements can be specified by position:

Sizes specified by a subtree take precedence over sizes specified by its ancestors:

A position {i,j,…} in a subtree refers to its subtree at relative position {i,j,…}:

A relative position {2} at position {1} refers to the global position {1,2}:

In general, a pattern patt applies to subtrees at global positions {i,j,…} that match patt:

A list of patterns {patt₁,patt₂,…} applies to relative positions {i,j,…} that match patt_i:

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