> ## Documentation Index
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# Rust Multiplication Assignment

The `*=` (multiplication assignment) operator is a compound assignment operator that multiplies a mutable left-hand operand by a right-hand operand, storing the resulting product directly in the left-hand operand.

## Syntax and Desugaring

```rust theme={"dark"}
let mut x = 5;
x *= 3; // x is mutated in-place to 15
```

At the compiler level, `*=` is syntactic sugar for the `mul_assign` method defined in the `std::ops::MulAssign` trait. When the Rust compiler encounters `LHS *= RHS`, it desugars the expression into a method call:

```rust theme={"dark"}
LHS.mul_assign(RHS);
```

## Trait Definition

The underlying trait is defined in the standard library as follows:

```rust theme={"dark"}
pub trait MulAssign<Rhs = Self> {
    fn mul_assign(&mut self, rhs: Rhs);
}
```

## Technical Mechanics

* **Mutability Requirement:** The left-hand side (LHS) must be explicitly bound with `mut`. Because `mul_assign` takes `&mut self`, the operator requires an exclusive, mutable borrow of the LHS.
* **Type Resolution:** The types of the LHS and RHS do not strictly need to be identical, provided the LHS type implements `MulAssign<RHS>`. For example, standard library primitives implement `MulAssign` for their own types (e.g., `i32 *= i32`), but custom types can implement `MulAssign` to accept disparate RHS types.
* **Ownership:** The RHS operand is passed by value. If the RHS type does not implement `Copy`, it will be consumed (moved) by the `*=` operation, unless the trait is explicitly implemented to accept a reference (e.g., `MulAssign<&T>`).
* **Return Type:** The `*=` expression evaluates to the unit type `()`. It cannot be chained like in C or C++ (e.g., `a = b *= c` is invalid in Rust because `b *= c` returns `()`).
* **Overflow Behavior:** For primitive integer types, `*=` adheres to Rust's standard arithmetic overflow rules. It will trigger a panic in `debug` profiles if the multiplication exceeds the type's bounds, and it will perform two's complement wrapping in `release` profiles. Floating-point types (`f32`, `f64`) will yield `inf` or `-inf` upon overflow, adhering to IEEE 754 standards.

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