Dimension
An abstract class representing a dimensional unit of measure.
Declaration
class DimensionOverview
The Foundation framework provides concrete subclasses for many of the most common types of physical units.
Table 1: Dimension subclasses.
NSDimension subclass | Description | Base unit |
|---|---|---|
Unit of measure for acceleration | meters per second squared (m/s²) | |
Unit of measure for planar angle and rotation | degrees (°) | |
Unit of measure for area | square meters (m²) | |
Unit of measure for concentration of mass | grams per liter (g/L) | |
Unit of measure for dispersion | parts per million (ppm) | |
Unit of measure for duration of time | seconds (sec) | |
Unit of measure for electric charge | coulombs (C) | |
Unit of measure for electric current | amperes (A) | |
Unit of measure for electric potential difference | volts (V) | |
Unit of measure for electric resistance | ohms (Ω) | |
Unit of measure for energy | joules (J) | |
Unit of measure for frequency | hertz (Hz) | |
Unit of measure for fuel efficiency | liters per 100 kilometers (L/100km) | |
Unit of measure for illuminance | lux (lx) | |
Unit of measure for quantities of information | bytes (b) | |
Unit of measure for length | meters (m) | |
Unit of measure for mass | kilograms (kg) | |
Unit of measure for power | watts (W) | |
Unit of measure for pressure | newtons per square meter (N/m²) | |
Unit of measure for speed | meters per second (m/s) | |
Unit of measure for temperature | kelvin (K) | |
Unit of measure for volume | liters (L) |
Each instance of a Dimension subclass has a converter, which represents the unit in terms of the dimension’s baseUnit(). For example, the NSLengthUnit class uses meters as its base unit. The system defines the predefined miles unit by a UnitConverterLinear with a coefficient of 1609.34, which corresponds to the conversion ratio of miles to meters (1 mi = 1609.34 m); the system defines the predefined meters unit by a UnitConverterLinear with a coefficient of 1.0 because it’s the base unit.
You typically use an NSDimension subclass in conjunction with the NSMeasurement class to represent specific quantities of a particular unit.
Working with Custom Units
In addition to the Apple-provided units, you can define custom units. You can initialize custom units from a symbol and converter of an existing type or implemented as a class method of an existing type for additional convenience. You can also define your own NSDimension subclass to represent an entirely new unit dimension.
Initializing a Custom Unit with a Specified Symbol and Definition
The simplest way to define a custom unit is to create a new instance of an existing NSDimension subclass using the init(symbol:converter:) method.
For example, the smoot is a nonstandard unit of length (1 smoot = 1.70180 m). You can create a new instance of UnitLength as follows:
Extending Existing Dimension Subclasses
Alternatively, if you use a custom unit extensively throughout an app, consider extending the corresponding Dimension subclass and adding a static variable.
For example, a measurement of speed can be furlongs per fortnight (1 fur/ftn = 201.168 m / 1,209,600 s). If an app makes frequent use of this unit, you can extend UnitSpeed to add a furlongsPerFortnight static variable for convenient access as follows:
Creating a Custom Dimension Subclass
You can create a new subclass of Dimension to describe a new unit dimension.
For example, the Foundation framework doesn’t define any units for radioactivity. Radioactivity is the process by which the nucleus of an atom emits radiation. The SI unit of measure for radioactivity is the becquerel (Bq), which is the quantity of radioactive material in which one nucleus decays per second (1 Bq = 1 s-1). Radioactivity is also commonly described in terms of curies (Ci), a unit defined relative to the decay of one gram of the radium-226 isotope (1 Ci = 3.7 × 1010 Bq). You can implement a CustomUnitRadioactivity class that defines both units of radioactivity as follows:
Subclassing Notes
The system provides Dimension for subclassing. Although the subclasses listed in Table 1 above are suitable for most purposes, you may want to define a custom unit type. For instance, you may need a custom unit type to represent a derived unit, such as magnetic flux (measured as the product of electric potential difference and time).
To represent dimensionless units, subclass Unit directly.
Methods to Override
All subclasses must fully implement the baseUnit() method designating the base unit, relative to which you define any additional units.
You must also implement a class method named for the base unit itself, to use interchangeably. For example, the UnitIlluminance class defines its baseUnit() in terms of the lux (lx) and provides a corresponding lux class method.
Alternatives to Subclassing
As described in Working with Custom Units, you need to create a custom subclass of Dimension only if you or the system haven’t defined a unit of the desired dimension. You can define a custom unit for an existing Dimension subclass by either calling the init(symbol:converter:) method or extending the subclass and adding a corresponding class method.