"""Module for the angular velocity class."""
# ruff: noqa: TID252
from typing import overload
from ..angle import Unit as AngleUnit
from ..angle import get_unit_abbreviation as get_angle_unit_abbreviation
from ..angle import (
get_unit_delta_per_radian as get_angle_unit_delta_per_radian,
)
from ..angle import get_unit_name as get_angle_unit_name
from ..time import Unit as TimeUnit
from ..time import get_unit_abbreviation as get_time_unit_abbreviation
from ..time import get_unit_delta_per_second as get_time_unit_delta_per_second
from ..time import get_unit_name as get_time_unit_name
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class Velocity:
"""The rate of change of the angular displacement of an object wrt time."""
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def __init__(
self, value: float, angle_unit: AngleUnit, time_unit: TimeUnit
) -> None:
"""Initialise a new angular velocity."""
self._value = value
self._angle_unit = angle_unit
self._time_unit = time_unit
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def as_unit(self, angle_unit: AngleUnit, time_unit: TimeUnit) -> float:
"""Return the angular velocity in the specified units."""
internal_angle_unit_delta_per_radian = get_angle_unit_delta_per_radian(
self._angle_unit
)
internal_time_unit_delta_per_second = get_time_unit_delta_per_second(
self._time_unit
)
internal_unit_to_radian_per_second_factor = (
internal_time_unit_delta_per_second / internal_angle_unit_delta_per_radian
)
value_as_radian_per_second = (
internal_unit_to_radian_per_second_factor * self._value
)
external_angle_unit_delta_per_radian = get_angle_unit_delta_per_radian(
angle_unit
)
external_time_unit_delta_per_second = get_time_unit_delta_per_second(time_unit)
radian_per_second_to_external_unit_factor = (
external_angle_unit_delta_per_radian / external_time_unit_delta_per_second
)
return radian_per_second_to_external_unit_factor * value_as_radian_per_second
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def __mul__(self, value: float) -> "Velocity":
"""Return a angular velocity scaled by the value."""
scaled_value = self._value * value
return Velocity(scaled_value, self._angle_unit, self._time_unit)
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def __rmul__(self, value: float) -> "Velocity":
"""Return a angular velocity scaled by the value."""
return self * value
@overload
def __truediv__(self, other: float) -> "Velocity": ...
@overload
def __truediv__(self, other: "Velocity") -> float: ...
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def __truediv__(self, other: "float | Velocity") -> "Velocity | float":
"""Return a scaled angular velocity or the ratio between the angular velocities.
The behaviour depends upon the type of the argument.
- If the argument is :py:class:`float`, return a angular velocity scaled by the
inverse of the value
- If the argument is a :py:class:`Velocity`, return the ratio between the two
angular velocities
"""
if isinstance(other, Velocity):
value_as_radian_per_second = self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND)
other_value_as_radian_per_second = other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
return value_as_radian_per_second / other_value_as_radian_per_second
return (1 / other) * self
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def __add__(self, other: "Velocity") -> "Velocity":
"""Return the sum of two angular velocities."""
value_as_radian_per_second = self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND)
other_value_as_radian_per_second = other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
value_sum_as_radian_per_second = (
value_as_radian_per_second + other_value_as_radian_per_second
)
return Velocity(
value_sum_as_radian_per_second, AngleUnit.RADIAN, TimeUnit.SECOND
)
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def __sub__(self, other: "Velocity") -> "Velocity":
"""Return the difference of two angular velocities."""
value_as_radian_per_second = self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND)
other_value_as_radian_per_second = other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
value_difference_as_radian_per_second = (
value_as_radian_per_second - other_value_as_radian_per_second
)
return Velocity(
value_difference_as_radian_per_second,
AngleUnit.RADIAN,
TimeUnit.SECOND,
)
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def __neg__(self) -> "Velocity":
"""Return the inverse of the angular velocity."""
return -1 * self
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def __abs__(self) -> "Velocity":
"""Return the absolute version of the angular velocity."""
absolute_value = abs(self._value)
return Velocity(absolute_value, self._angle_unit, self._time_unit)
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def __floordiv__(self, other: "Velocity") -> float:
"""Return the floored ratio between the angular velocities."""
value_as_radian_per_second = self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND)
other_value_as_radian_per_second = other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
return value_as_radian_per_second // other_value_as_radian_per_second
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def __mod__(self, other: "Velocity") -> float:
"""Return the remainder of the ratio between the angular velocity."""
value_as_radian_per_second = self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND)
other_value_as_radian_per_second = other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
return value_as_radian_per_second % other_value_as_radian_per_second
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def __divmod__(self, other: "Velocity") -> tuple[float, float]:
"""Return the quotient & remainder of the ratio between the velocities."""
value_as_radian_per_second = self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND)
other_value_as_radian_per_second = other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
return divmod(value_as_radian_per_second, other_value_as_radian_per_second)
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def __eq__(self, other: object) -> bool:
"""Return whether the objects are equal angular velocities."""
if not isinstance(other, Velocity):
return NotImplemented
return self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND) == other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
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def __lt__(self, other: "Velocity") -> bool:
"""Return whether the angular velocity is less than the other."""
return self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND) < other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
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def __le__(self, other: "Velocity") -> bool:
"""Return whether the angular velocity is less than or equal to the other."""
return self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND) <= other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
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def __gt__(self, other: "Velocity") -> bool:
"""Return whether the angular velocity is greater than the other."""
return self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND) > other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
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def __ge__(self, other: "Velocity") -> bool:
"""Return whether the angular velocity is greater than or equal to the other."""
return self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND) >= other.as_unit(
AngleUnit.RADIAN, TimeUnit.SECOND
)
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def __hash__(self) -> int:
"""Return the hash of the angular velocity."""
return hash(self.as_unit(AngleUnit.RADIAN, TimeUnit.SECOND))
def __str__(self) -> str:
"""Return a string representation of the angular velocity."""
return (
f"{self._value} "
f"{get_angle_unit_abbreviation(self._angle_unit)}/"
f"{get_time_unit_abbreviation(self._time_unit)}"
)
def __repr__(self) -> str:
"""Return a string representation of the angular velocity for developers."""
return (
f"{__class__.__name__}({self._value},"
f" {get_angle_unit_name(self._angle_unit)},"
f" {get_time_unit_name(self._time_unit)})"
)