## Appendix B: Operators

### Unary operator expressions

Rust defines the following unary operators. They are all written as prefix operators, before the expression they apply to.

- `-` : Negation. Signed integer types and floating-point types support negation. It is an error to apply negation to unsigned types; for example, the compiler rejects `-1u32`.
- `*` : Dereference. When applied to a pointer, it denotes the pointed-to location. For pointers to mutable locations, the resulting value can be assigned to. On non-pointer types, it calls the `deref` method of the `std::ops::Deref` trait, or the `deref_mut` method of the `std::ops::DerefMut` trait (if implemented by the type and required for an outer expression that will or could mutate the dereference), and produces the result of dereferencing the `&` or `&mut` borrowed pointer returned from the overload method.
- `!` : Logical negation. On the boolean type, this flips between `true` and `false`. On integer types, this inverts the individual bits in the two’s complement representation of the value.
- `&` and `&mut` : Borrowing. When applied to a value, these operators produce a reference (pointer) to that value. The value is also placed into a borrowed state for the duration of the reference. For a shared borrow (`&`), this implies that the value may not be mutated, but it may be read or shared again. For a mutable borrow (`&mut`), the value may not be accessed in any way until the borrow expires.

### Binary operator expressions

Binary operators expressions are given in order of operator precedence.

#### Arithmetic operators

Binary arithmetic expressions are syntactic sugar for calls to built-in traits, defined in the `std::ops` module of the `std` library. This means arithmetic operators can be overridden for user-defined types. The default meaning of the operators on standard types is given here.

- `+` : Addition and array/string concatenation. Calls the `add` method on the `std::ops::Add` trait.
- `-` : Subtraction. Calls the `sub` method on the `std::ops::Sub` trait.
- `*` : Multiplication. Calls the `mul` method on the `std::ops::Mul` trait.
- `/` : Quotient. Calls the `div` method on the `std::ops::Div` trait.
- `%` : Remainder. Calls the `rem` method on the `std::ops::Rem` trait.

Note that Rust does not have a built-in operator for exponential (power) calculation; see the `pow` method on the numeric types.

#### Bitwise operators

Like the arithmetic operators, bitwise operators are syntactic sugar for calls to methods of built-in traits. This means bitwise operators can be overridden for user-defined types. The default meaning of the operators on standard types is given here. Bitwise `&`, `|` and `^` applied to boolean arguments are equivalent to logical `&&`, `||` and `!=` evaluated in non-lazy fashion.

- `&` : Bitwise AND. Calls the `bitand` method of the `std::ops::BitAnd` trait.
- `|` : Bitwise inclusive OR. Calls the `bitor` method of the `std::ops::BitOr` trait.
- `^` : Bitwise exclusive OR. Calls the `bitxor` method of the `std::ops::BitXor` trait.
- `<<` : Left shift. Calls the `shl` method of the `std::ops::Shl` trait.
- `>>` : Right shift (arithmetic). Calls the `shr` method of the `std::ops::Shr` trait.

#### Lazy boolean operators

The operators `||` and `&&` may be applied to operands of boolean type. The `||` operator denotes logical ‘or’, and the `&&` operator denotes logical ‘and’. They differ from `|` and `&` in that the right-hand operand is only evaluated when the left-hand operand does not already determine the result of the expression. That is, `||` only evaluates its right-hand operand when the left-hand operand evaluates to `false`, and `&&` only when it evaluates to `true`.

#### Comparison operators

Comparison operators are, like the arithmetic operators and bitwise operators, syntactic sugar for calls to built-in traits. This means that comparison operators can be overridden for user-defined types. The default meaning of the operators on standard types is given here.

- `==` : Equal to. Calls the `eq` method on the `std::cmp::PartialEq` trait.
- `!=` : Unequal to. Calls the `ne` method on the `std::cmp::PartialEq` trait.
- `<` : Less than. Calls the `lt` method on the `std::cmp::PartialOrd` trait.
- `>` : Greater than. Calls the `gt` method on the `std::cmp::PartialOrd` trait.
- `<=` : Less than or equal. Calls the `le` method on the `std::cmp::PartialOrd` trait.
- `>=` : Greater than or equal. Calls the `ge` method on the `std::cmp::PartialOrd` trait.

#### Type cast expressions

A type cast expression is denoted with the binary operator `as`.

Executing an `as` expression casts the value on the left-hand side to the type on the right-hand side.

An example of an `as` expression:

    # #![allow(unused_variables)]
    #fn main() {
    # fn sum(values: &[f64]) -> f64 { 0.0 }
    # fn len(values: &[f64]) -> i32 { 0 }

    fn average(values: &[f64]) -> f64 {
        let sum: f64 = sum(values);
        let size: f64 = len(values) as f64;
        sum / size
    }
    #}

Some of the conversions which can be done through the `as` operator can also be done implicitly at various points in the program, such as argument passing and assignment to a `let` binding with an explicit type. Implicit conversions are limited to “harmless” conversions that do not lose information and which have minimal or no risk of surprising side-effects on the dynamic execution semantics.

#### Assignment expressions

An assignment expression consists of a pattern followed by an equals sign (`=`) and an expression.

Evaluating an assignment expression either copies or moves its right-hand operand to its left-hand operand.

    # let mut x = 0;
    # let y = 0;
    x = y;

#### Compound assignment expressions

The `+`, `-`, `*`, `/`, `%`, `&`, `|`, `^`, `<<`, and `>>` operators may be composed with the `=` operator. The expression `lval OP= val` is equivalent to `lval = lval OP val`. For example, `x = x + 1` may be written as `x += 1`.

Any such expression always has the `unit` type.

#### Operator precedence

The precedence of Rust operators is ordered as follows, going from strong to weak. Binary Operators at the same precedence level are evaluated in the order given by their associativity.

Operator | Associativity
--- | ---
`?` |
Unary `-` `*` `!` `&` `&mut` |
`as` `:` | left to right
`*` `/` `%` | left to right
`+` `-` | left to right
`<<` `>>` | left to right
`&` | left to right
`^` | left to right
`|` | left to right
`==` `!=` `<` `>` `<=` `>=` | Require parentheses
`&&` | left to right
`||` | left to right
`..` `...` | Require parentheses
`<-` | right to left
`=` `+=` `-=` `*=` `/=` `%=` `&=` `|=` `^=` `<<=` `>>=` | right to left