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# Operators
| Name | Syntax | Associativity | Precedence |
|----------------------------------------|--------------------------------------------|---------------|------------|
| [Attribute selection] | *attrset* `.` *attrpath* \[ `or` *expr* \] | none | 1 |
| Function application | *func* *expr* | left | 2 |
| [Arithmetic negation][arithmetic] | `-` *number* | none | 3 |
| [Has attribute] | *attrset* `?` *attrpath* | none | 4 |
| List concatenation | *list* `++` *list* | right | 5 |
| [Multiplication][arithmetic] | *number* `*` *number* | left | 6 |
| [Division][arithmetic] | *number* `/` *number* | left | 6 |
| [Subtraction][arithmetic] | *number* `-` *number* | left | 7 |
| [Addition][arithmetic] | *number* `+` *number* | left | 7 |
| [String concatenation] | *string* `+` *string* | left | 7 |
| [Path concatenation] | *path* `+` *path* | left | 7 |
| [Path and string concatenation] | *path* `+` *string* | left | 7 |
| [String and path concatenation] | *string* `+` *path* | left | 7 |
| Logical negation (`NOT`) | `!` *bool* | none | 8 |
| [Update] | *attrset* `//` *attrset* | right | 9 |
| [Less than][Comparison] | *expr* `<` *expr* | none | 10 |
| [Less than or equal to][Comparison] | *expr* `<=` *expr* | none | 10 |
| [Greater than][Comparison] | *expr* `>` *expr* | none | 10 |
| [Greater than or equal to][Comparison] | *expr* `>=` *expr* | none | 10 |
| [Equality] | *expr* `==` *expr* | none | 11 |
| Inequality | *expr* `!=` *expr* | none | 11 |
| Logical conjunction (`AND`) | *bool* `&&` *bool* | left | 12 |
| Logical disjunction (`OR`) | *bool* <code>\|\|</code> *bool* | left | 13 |
| [Logical implication] | *bool* `->` *bool* | none | 14 |
[string]: ./values.md#type-string
[path]: ./values.md#type-path
[number]: ./values.md#type-number
[list]: ./values.md#list
[attribute set]: ./values.md#attribute-set
## Attribute selection
> *attrset* `.` *attrpath* \[ `or` *expr* \]
Select the attribute denoted by attribute path *attrpath* from [attribute set] *attrset*.
If the attribute doesn’t exist, return the *expr* after `or` if provided, otherwise abort evaluation.
An attribute path is a dot-separated list of [attribute names](./values.md#attribute-set).
> *attrpath* = *name* [ `.` *name* ]...
[Attribute selection]: #attribute-selection
## Has attribute
> *attrset* `?` *attrpath*
Test whether [attribute set] *attrset* contains the attribute denoted by *attrpath*.
The result is a [Boolean] value.
[Boolean]: ./values.md#type-boolean
[Has attribute]: #has-attribute
## Arithmetic
Numbers will retain their type unless mixed with other numeric types:
Pure integer operations will always return integers, whereas any operation involving at least one floating point number returns a floating point number.
Integer overflow (of 64-bit signed integers) and division by zero are defined to throw an error.
See also [Comparison] and [Equality].
The `+` operator is overloaded to also work on strings and paths.
[arithmetic]: #arithmetic
## String concatenation
> *string* `+` *string*
Concatenate two [string]s and merge their string contexts.
[String concatenation]: #string-concatenation
## Path concatenation
> *path* `+` *path*
Concatenate two [path]s.
The result is a path.
[Path concatenation]: #path-concatenation
## Path and string concatenation
> *path* + *string*
Concatenate *[path]* with *[string]*.
The result is a path.
> **Note**
>
> The string must not have a string context that refers to a [store path].
[Path and string concatenation]: #path-and-string-concatenation
## String and path concatenation
> *string* + *path*
Concatenate *[string]* with *[path]*.
The result is a string.
> **Important**
>
> The file or directory at *path* must exist and is copied to the [store].
> The path appears in the result as the corresponding [store path].
[store path]: ../glossary.md#gloss-store-path
[store]: ../glossary.md#gloss-store
[String and path concatenation]: #string-and-path-concatenation
## Update
> *attrset1* // *attrset2*
Update [attribute set] *attrset1* with names and values from *attrset2*.
The returned attribute set will have of all the attributes in *attrset1* and *attrset2*.
If an attribute name is present in both, the attribute value from the latter is taken.
[Update]: #update
## Comparison
Comparison is
- [arithmetic] for [number]s
- lexicographic for [string]s and [path]s
- item-wise lexicographic for [list]s:
elements at the same index in both lists are compared according to their type and skipped if they are equal.
All comparison operators are implemented in terms of `<`, and the following equivalencies hold:
| comparison | implementation |
|--------------|-----------------------|
| *a* `<=` *b* | `! (` *b* `<` *a* `)` |
| *a* `>` *b* | *b* `<` *a* |
| *a* `>=` *b* | `! (` *a* `<` *b* `)` |
[Comparison]: #comparison-operators
## Equality
- [Attribute sets][attribute set] and [list]s are compared recursively, and therefore are fully evaluated.
- Comparison of [function]s always returns `false`.
- Numbers are type-compatible, see [arithmetic] operators.
- Floating point numbers only differ up to a limited precision.
[function]: ./constructs.md#functions
[Equality]: #equality
## Logical implication
Equivalent to `!`*b1* `||` *b2*.
[Logical implication]: #logical-implication
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