tomo/docs/operators.md
2024-08-10 20:58:24 -04:00

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Operator Overloading

Operator overloading is supported, but strongly discouraged. Operator overloading should only be used for types that represent mathematical concepts that users can be reliably expected to understand how they behave with math operators, and for which the implementations are extremely efficient. Operator overloading should not be used to hide expensive computations or to create domain-specific syntax to make certain operations more concise. Examples of good candidates for operator overloading would include:

  • Mathematical vectors
  • Matrices
  • Quaternions
  • Complex numbers

Bad candidates would include:

  • Arbitrarily sized datastructures
  • Objects that represent regular expressions
  • Objects that represent filesystem paths

Available Operator Overloads

When performing a math operation between any two types that are not both numerical or boolean, the compiler will look up the appropriate method and insert a function call to that method. Math overload operations are all assumed to return a value that is the same type as the first argument and the second argument must be either the same type as the first argument or a number, depending on the specifications of the specific operator.

If no suitable method is found with the appropriate types, a compiler error will be raised.

Addition

func plus(T, T)->T

In an addition expression a + b between two objects of the same type, the method a:plus(b) will be invoked, which returns a new value of the same type.

Subtraction

func minus(T, T)->T

In a subtraction expression a - b between two objects of the same type, the method a:minus(b) will be invoked, which returns a new value of the same type.

Multiplication

func times(T, T)->T
func scaled_by(T, N)->T

The multiplication expression a * b invokes either the a:times(b) method, if a and b are the same non-numeric type, or a:scaled_by(b) if a is non-numeric and b is numeric, or b:scaled_by(a) if b is non-numeric and a is numeric. In all cases, a new value of the non-numeric type is returned.

Division

func divided_by(T, N)->T

In a division expression a / b the method a:divided_by(b) will be invoked if a has type T and b has a numeric type N.

Exponentiation

func power(T, N)->T

In an exponentiation expression, a ^ b, if a has type T and b has a numeric type N, then the method a:power(b) will be invoked.

Modulus

func mod(T, N)->T
func mod1(T, N)->T

In a modulus expression, a mod b or a mod1 b, if a has type T and b has a numeric type N, then the method mod() or mod1() will be invoked.

Negative

func negative(T)->T

In a unary negative expression -x, the method negative() will be invoked and will return a value of the same type.

Bit Operations

func left_shift(T, Int)->T
func right_shift(T, Int)->T
func bit_and(T, T)->T
func bit_or(T, T)->T
func bit_xor(T, T)->T

In a bit shifting expression, a >> b or a << b, if a has type T and b is an Int, then the method left_shift() or right_shift() will be invoked. A value of type T will be returned.

In a bitwise binary operation a and b, a or b, or a xor b, then the method bit_and(), bit_or(), or bit_xor() will be invoked, assuming that a and b have the same type, T. A value of type T will be returned.

Bitwise Negation

func negated(T)->T

In a unary bitwise negation expression not x, the method negated() will be invoked and will return a value of the same type.