Nested brace expansion is the recursive evaluation of Bash brace expressions (Documentation Index
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{...}) embedded within one another. The Bash parser evaluates these structures strictly outside-in using top-down recursive descent. It identifies the outermost brace expression, splits the contents by commas at the current nesting level (level 0), and recursively expands each resulting part left-to-right, preserving strict ordering without applying implicit sorting.
Syntax and Lexical Parsing
During the parsing phase, Bash identifies unescaped braces and commas to determine the hierarchical depth of the expression. Brace expansion occurs strictly before variable, command, and arithmetic expansions.Expansion Mechanics
1. Hierarchical Comma Separation
Commas define the boundaries of elements at the current nesting level. An element can be a literal string, a sequence, or another brace expression.- The parser identifies the outermost brace and splits it by the level-0 comma into two elements:
AandB{C,D}. - The first element
Acontains no further braces and remainsA. - The second element
B{C,D}is recursively evaluated. The parser splits{C,D}intoCandD. - The prefix
Bis distributed to both, yieldingBCandBD.
2. Deep Nesting
Nesting can occur at arbitrary depths. Because evaluation is strictly outside-in, the parser resolves the outermost structure first and recursively descends into deeper levels.- The parser splits the outermost level into
1and2{3,4{5,6}}. - The element
1is fully resolved. - The element
2{3,4{5,6}}is recursively expanded. The parser splits the next brace{3,4{5,6}}into3and4{5,6}, yielding23and24{5,6}. - The element
23is fully resolved. - The element
24{5,6}is recursively expanded. The parser splits{5,6}into5and6, yielding245and246.
3. Adjacent Nesting (Left-to-Right Expansion)
If multiple brace expressions are nested adjacently within a single outer element, Bash evaluates them left-to-right, outside-in.- The outermost brace is split into
AandB{1,2}{X,Y}. - The element
Ais fully resolved. - In
B{1,2}{X,Y}, the leftmost brace{1,2}is expanded first, yieldingB1{X,Y}andB2{X,Y}. - The parser then recursively expands
{X,Y}in each resulting string. B1{X,Y}expands toB1XandB1Y.B2{X,Y}expands toB2XandB2Y.
4. Nested Sequences
Sequence expressions ({x..y}) can be nested within comma-separated brace lists. The sequence is generated as a standard element during the recursive descent.
Edge Cases and Limitations
- Malformed Sequence Bounds: Sequence expressions require hardcoded integers or single characters at the time of lexical analysis. Nesting a sequence inside a sequence bound (e.g.,
{1..{2..5}}) does not throw a syntax error or halt execution. Instead, the parser fails to identify the outer structure as a valid sequence. It falls back to standard expansion, evaluating the inner sequence and treating the outer characters as literals.
- Empty Elements: An empty element within a nested brace is treated as a null string. It is a valid token and will be concatenated as an empty value during recursive expansion.
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