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# Dart Unary Minus

The `-` operator in Dart functions as both a binary arithmetic operator for subtraction and a prefix unary operator for numeric negation. Its behavior and precedence are determined by the arity of the expression in which it is invoked.

## Binary Subtraction

When used as a binary operator, `-` calculates the difference between a left operand and a right operand. It operates at the additive precedence level with left-to-right associativity.

In Dart's core numeric types (`int` and `double`), the return type depends on the operands: if both are integers, the result is an `int`; if either is a floating-point number, the result is a `double`.

```dart theme={"dark"}
int difference = 10 - 3;       // Evaluates to 7
double floatDiff = 10.5 - 2;   // Evaluates to 8.5
```

## Unary Negation

When used as a prefix unary operator, `-` reverses the algebraic sign of a single numeric operand. It operates at the unary prefix precedence level, which is higher than multiplicative and additive operators.

```dart theme={"dark"}
int value = 5;
int negated = -value;          // Evaluates to -5
int doubleNegated = -(-value); // Evaluates to 5
```

## Operator Overloading

Dart permits custom classes to override the `-` operator. Because the operator serves two distinct arities, Dart uses different syntax signatures to differentiate between binary subtraction and unary negation during operator overloading.

* **Binary Overload:** Defined using `operator -` with a single parameter representing the right operand.
* **Unary Overload:** Defined using the specific syntax `operator unary-` with empty parentheses to indicate the prefix negation.

```dart theme={"dark"}
class Vector {
  final int x;
  final int y;

  const Vector(this.x, this.y);

  // Overriding binary subtraction
  Vector operator -(Vector other) {
    return Vector(x - other.x, y - other.y);
  }

  // Overriding unary negation
  Vector operator unary-() {
    return Vector(-x, -y);
  }
}

void main() {
  Vector v1 = Vector(4, 5);
  Vector v2 = Vector(1, 2);

  Vector v3 = v1 - v2; // Invokes binary operator -(Vector other)
  Vector v4 = -v1;     // Invokes unary operator unary-()
}
```

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