Rational

class pyarts3.arts.Rational(*args, **kwargs)

Holds a rational number as two Index

\[x = \frac{a}{b}\]

where \(a\) is the numerator and \(b\) is the denominator.

Overview

Method	readxml()	Read variable from file.
Method	savexml()	Saves variable to file.
Static Method	fromxml()	Create variable from file.
Index	d	Denominator
Index	n	Numerator
Operator	__add__()	__add__(self, arg: pyarts3.arts.Rational, /) -> pyarts3.arts.Rational
Operator	__eq__()	__eq__(self, arg: pyarts3.arts.Rational, /) -> bool
Operator	__format__()	__format__(self, arg: str, /) -> str
Operator	__ge__()	__ge__(self, arg: pyarts3.arts.Rational, /) -> bool
Operator	__gt__()	__gt__(self, arg: pyarts3.arts.Rational, /) -> bool
Operator	__hash__()	Return hash(self).
Operator	__iadd__()	__iadd__(self, arg: pyarts3.arts.Rational, /) -> pyarts3.arts.Rational
Operator	__imul__()	__imul__(self, arg: pyarts3.arts.Rational, /) -> pyarts3.arts.Rational
Operator	__init__()	__init__(self, arg: pyarts3.arts.Rational) -> None
Operator	__isub__()	__isub__(self, arg: pyarts3.arts.Rational, /) -> pyarts3.arts.Rational
Operator	__itruediv__()	__itruediv__(self, arg: pyarts3.arts.Rational, /) -> pyarts3.arts.Rational
Operator	__le__()	__le__(self, arg: pyarts3.arts.Rational, /) -> bool
Operator	__lt__()	__lt__(self, arg: pyarts3.arts.Rational, /) -> bool
Operator	__mul__()	__mul__(self, arg: pyarts3.arts.Rational, /) -> pyarts3.arts.Rational
Operator	__ne__()	__ne__(self, arg: pyarts3.arts.Rational, /) -> bool
Operator	__radd__()	__radd__(self, arg: int, /) -> pyarts3.arts.Rational
Operator	__repr__()	__repr__(self) -> str
Operator	__rmul__()	__rmul__(self, arg: int, /) -> pyarts3.arts.Rational
Operator	__rsub__()	__rsub__(self, arg: int, /) -> pyarts3.arts.Rational
Operator	__rtruediv__()	__rtruediv__(self, arg: int, /) -> pyarts3.arts.Rational
Operator	__str__()	__str__(self) -> str
Operator	__truediv__()	__truediv__(self, arg: pyarts3.arts.Rational, /) -> pyarts3.arts.Rational

Constructors

__init__(self, n: int = 0, d: int = 1) → None

__init__(self, arg: str, /) → None

__init__(self) → None

__init__(self, arg: Rational) → None

Methods

readxml(self, file: str) → str

Read variable from file.

Parameters:

file (str) – A file that can be read.

Raises:

RuntimeError – For any failure to read.

Returns:

file – The file path found (may differ from input due to environment variables).

Return type:

str

savexml(self, file: str, type: str = 'ascii', clobber: bool = True) → str

Saves variable to file.

Parameters:

• file (str) – The path to which the file is written. Note that several of the options might modify the name or write more files.

• type (str, optional) – Type of file to save. See FileType for options. Defaults is “ascii”.

• clobber (bool, optional) – Overwrite existing files or add new file with modified name? Defaults is True.

Raises:

RuntimeError – For any failure to write.

Returns:

file – The file saved. May differ from input.

Return type:

str

Static Methods

fromxml(file: str) → Rational

Create variable from file.

Parameters:

file (str) – A file that can be read

Raises:

RuntimeError – For any failure to read.

Attributes

d: Index

Denominator

n: Index

Numerator

Operators

__add__(self, arg: int, /) → Rational

__add__(self, arg: Rational, /) → Rational

__eq__(self, arg: int, /) → bool

__eq__(self, arg: int, /) → bool

__eq__(self, arg: Rational, /) → bool

__eq__(self, arg: Rational, /) → bool

__format__(self, arg: str, /) → str

__ge__(self, arg: int, /) → bool

__ge__(self, arg: int, /) → bool

__ge__(self, arg: Rational, /) → bool

__ge__(self, arg: Rational, /) → bool

__gt__(self, arg: int, /) → bool

__gt__(self, arg: int, /) → bool

__gt__(self, arg: Rational, /) → bool

__gt__(self, arg: Rational, /) → bool

__hash__()

Return hash(self).

__iadd__(self, arg: int, /) → Rational

__iadd__(self, arg: Rational, /) → Rational

__imul__(self, arg: int, /) → Rational

__imul__(self, arg: Rational, /) → Rational

__init__(self, n: int = 0, d: int = 1) → None

__init__(self, arg: str, /) → None

__init__(self) → None

__init__(self, arg: Rational) → None

__isub__(self, arg: int, /) → Rational

__isub__(self, arg: Rational, /) → Rational

__itruediv__(self, arg: int, /) → Rational

__itruediv__(self, arg: Rational, /) → Rational

__le__(self, arg: int, /) → bool

__le__(self, arg: int, /) → bool

__le__(self, arg: Rational, /) → bool

__le__(self, arg: Rational, /) → bool

__lt__(self, arg: int, /) → bool

__lt__(self, arg: int, /) → bool

__lt__(self, arg: Rational, /) → bool

__lt__(self, arg: Rational, /) → bool

__mul__(self, arg: int, /) → Rational

__mul__(self, arg: Rational, /) → Rational

__ne__(self, arg: int, /) → bool

__ne__(self, arg: int, /) → bool

__ne__(self, arg: Rational, /) → bool

__ne__(self, arg: Rational, /) → bool

__radd__(self, arg: int, /) → Rational

__repr__(self) → str

__rmul__(self, arg: int, /) → Rational

__rsub__(self, arg: int, /) → Rational

__rtruediv__(self, arg: int, /) → Rational

__str__(self) → str

__truediv__(self, arg: int, /) → Rational

__truediv__(self, arg: Rational, /) → Rational