Numbers

Abstract supertype of types that support scaling by a numeric factor. Examples of such types include vectors and matrices. The scale operator `a ** x` accepts a scale factor as its first operand, and an instance of `Scalable` as its second operand.

    Vector scaled = 2.0 ** Vector(x,y,z);

Concrete classes which implement this interface should satisfy:

- `x == 1**x`
- `a ** (b ** x) == a*b ** x`

where `1` denotes the multiplicative identity of the numeric scaling type.

Concrete classes which implement this interface are encouraged to also satisfy `Invertible`, in which case, the following identity should be satisfied:

- `-x == -1**x`

Concrete classes which implement this interface and which also satisfy `Summable` should satisfy:

- `x+x == 2**x`
- `a ** (x+y) == a**x + a**y`

The Scale must be a numeric type, but is not required to be `Number`, since a complex number scaling type should be allowed.

By: Gavin

no type hierarchy

no supertypes hierarchy

no subtypes hierarchy

Inherited Attributes
Attributes inherited from: `Object` `hash`, `string`

Methods
`scale` | Source Code `shared formal Value scale(Scale scalar)` Scale this value by the given scale factor.

Inherited Methods
Methods inherited from: `Object` `equals()`