python-units 0.2.0

Python library to represent numbers with units

units

Python library to represent quantities with units.

Supported Python versions: 3.10+

Python 2 is not supported.

Project layout:

• public facade: src/units
• API exports: src/api
• business logic: src/core
• data models: src/models
• utilities: src/utils
• tests: tests/unit and tests/integration

Preferred API:

from units import Quantity
from units.si import metre, second, newton

distance = 10 * metre
time = 2 * second
speed = distance / time
force = 5 * newton
print(distance)
print(speed)
print(force)

The preferred construction style is scalar-by-unit multiplication:

from units.si import metre, second

length = 3 * metre
time = 2 * second
speed = length / time
volume = 5 * metre ** 3

Because ** binds more tightly than *, 5 * metre ** 3 is interpreted as 5 * (metre ** 3), which is the intended geometric-unit behavior.

The explicit constructor remains supported and is still the right low-level form when you want to be fully explicit:

from units import Quantity
from units.si import metre

length = Quantity(3, metre)

Legacy API compatibility:

import units as u
print(u.Unit(1, u.metre))

The legacy Unit constructor remains available as a compatibility alias for Quantity during the migration period, but new code should prefer from units import Quantity and from units.si import ....

The package is Python 3-only. Python 2 compatibility behavior is not part of the supported interface.

Migration guide

Old style:

import units as u
distance = u.Unit(3, u.metre)
time = u.Unit(2, u.second)
speed = distance / time

New style:

from units.si import metre, second

distance = 3 * metre
time = 2 * second
speed = distance / time
volume = 5 * metre ** 3

Still supported when you want the fully explicit constructor form:

from units import Quantity
from units.si import metre, second

distance = Quantity(3, metre)
time = Quantity(2, second)
speed = distance / time

Public API

Stable top-level imports:

• Quantity
• Unit (compatibility alias for Quantity)
• UnitsError, InvalidUnitError, InvalidValueError, UnitCompatibilityError, UnitOperandError

Canonical unit imports:

• from units.si import metre, second, newton

Legacy compatibility helpers:

• long_quantity
• long_unit

These names remain available as compatibility aliases for integer conversion in Python 3, but new code should prefer int_quantity.

Notes on semantics

• Addition and subtraction require identical units.
• Multiplication and division combine units algebraically.
• Integer powers of units and unit-bearing quantities are supported.
• Unitless quantities are supported explicitly.
• The core quantity model allows signed values. Domain-specific constraints such as non-negative lengths should be enforced by higher-level types or validators.

Real-world examples

Electrical engineering: from resistance to power dissipation

from units.si import ampere, ohm, volt, watt

current = 12 * ampere
resistance = 8 * ohm
voltage = current * resistance
power = voltage * current

print(voltage)  # 96 V
print(power)    # 1152 W

This works because the package canonicalizes unambiguous derived-unit assemblies:

• ampere * ohm -> volt
• volt * ampere -> watt

Pump sizing: hydraulic power from pressure rise and flow rate

from units.si import metre, second, kilogram, pascal, watt

density = 998 * (kilogram / metre ** 3)
flow_velocity = 2.5 * (metre / second)
pipe_area = 0.0314 * metre ** 2
pressure_rise = 180000 * pascal

volumetric_flow = flow_velocity * pipe_area
hydraulic_power = pressure_rise * volumetric_flow

print(volumetric_flow)   # m^3·s^-1
print(hydraulic_power)   # W

This is a good example of a multi-step engineering computation that still renders to intuitive derived units at the end of the chain.

Structural mechanics: work from force over distance

from units.si import metre, newton

force = 4200 * newton
displacement = 0.35 * metre
work = force * displacement

print(work)  # J

Geometric quantities: powers of units

from units.si import metre

volume = 5 * metre ** 3
area = (12 * metre) ** 2

print(volume)  # 5 m^3
print(area)    # 144 m^2

The unit form is also valid on its own:

from units.si import metre

area_unit = metre ** 2
volume_unit = metre ** 3

Fluid mechanics: dynamic pressure

from units.si import kilogram, metre, pascal, second

density = 1.225 * (kilogram / metre ** 3)
velocity = 68 * (metre / second)
dynamic_pressure = 0.5 * density * velocity * velocity

print(dynamic_pressure)  # Pa

Custom unit systems

Custom unit systems are supported, but they are intentionally separate from SI canonicalization. Use them when you want the same algebra and formatting behaviour without forcing your units into the SI registry.

from units import CustomUnitBase, DimensionSystem

class CommUnit(CustomUnitBase):
    dimension_system = DimensionSystem('comm', ('b', 's', 'B'))

bit = CommUnit.define('b')
second = CommUnit.define('s')

data = 32 * bit
duration = 4 * second
rate = data / duration

print(rate)  # 8.0 b·s^-1

Custom systems inherit useful behaviour:

• dimensional algebra
• string rendering
• incompatibility checks within a system

They do not automatically simplify into SI-derived names such as V, J, or Pa, and they cannot be mixed with SI units unless you build an explicit bridge.