nix-super/doc/manual/src/language/operators.md
Silvan Mosberger 70b396649c doc: logical implication is right-associative
nix-repl> bools = [ false true ]

    nix-repl> combinations = builtins.concatMap (a: builtins.concatMap (b: map (c: { inherit a b c; }) bools) bools) bools

    nix-repl> builtins.all ({ a, b, c }: (a -> b -> c) == (a -> (b -> c))) combinations
    true

    nix-repl> builtins.all ({ a, b, c }: (a -> b -> c) == ((a -> b) -> c)) combinations
    false
2023-11-15 07:04:09 +01:00

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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 - number none 3
Has attribute attrset ? attrpath none 4
List concatenation list ++ list right 5
Multiplication number * number left 6
Division number / number left 6
Subtraction number - number left 7
Addition 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 expr < expr none 10
Less than or equal to expr <= expr none 10
Greater than expr > expr none 10
Greater than or equal to 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 || bool left 13
Logical implication bool -> bool right 14

Attribute selection

Syntax

attrset . attrpath [ or expr ]

Select the attribute denoted by attribute path attrpath from attribute set attrset. If the attribute doesnt exist, return the expr after or if provided, otherwise abort evaluation.

An attribute path is a dot-separated list of attribute names.

Syntax

attrpath = name [ . name ]...

Has attribute

Syntax

attrset ? attrpath

Test whether attribute set attrset contains the attribute denoted by attrpath. The result is a Boolean value.

See also: builtins.hasAttr

After evaluating attrset and attrpath, the computational complexity is O(log(n)) for n attributes in the attrset

Arithmetic

Numbers are type-compatible: Pure integer operations will always return integers, whereas any operation involving at least one floating point number return a floating point number.

See also Comparison and Equality.

The + operator is overloaded to also work on strings and paths.

String concatenation

Syntax

string + string

Concatenate two strings and merge their string contexts.

Path concatenation

Syntax

path + path

Concatenate two paths. The result is a path.

Path and string concatenation

Syntax

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.

String and path concatenation

Syntax

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.

Update

Syntax

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.

Comparison

Comparison is

  • arithmetic for numbers
  • lexicographic for strings and paths
  • item-wise lexicographic for lists: 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 )

Equality

  • Attribute sets and lists are compared recursively, and therefore are fully evaluated.
  • Comparison of functions always returns false.
  • Numbers are type-compatible, see arithmetic operators.
  • Floating point numbers only differ up to a limited precision.

Logical implication

Equivalent to !b1 || b2.