VakintNumericalResult

symbolica.community.vakint Class

VakintNumericalResult(values: Sequence[tuple[int, tuple[float, float]]])

Numerical Laurent series in the dimensional-regularization parameter epsilon.

Constructor

Create a numerical Laurent series from (epsilon exponent, (real, imaginary)) tuples.

Examples

from symbolica.community.vakint import VakintNumericalResult
result = VakintNumericalResult([
    (-3, (0.0, -11440.53140354612)),
    (-2, (0.0, 57169.95521898031)),
    (-1, (0.0, -178748.9838377694)),
    (0, (0.0, 321554.1122184795)),
])
len(result.to_list())

Parameters

Name	Type	Default	Description
`values`	`Sequence[tuple[int, tuple[float, float]]]`	`—`	A list of tuples, each containing an integer exponent of epsilon and a tuple of two floats representing the real and imaginary parts of the coefficient.

Member details

`str`

Method

__str__() -> str

String representation of the numerical result.

Examples

from symbolica.community.vakint import VakintNumericalResult
result = VakintNumericalResult([
    (-3, (0.0, -11440.53140354612)),
    (-2, (0.0, 57169.95521898031)),
    (-1, (0.0, -178748.9838377694)),
    (0, (0.0, 321554.1122184795)),
])
str(result)

`to_list`

Method

to_list() -> list[tuple[int, tuple[float, float]]]

Convert the numerical result to a native Python list of (epsilon exponent, (real, imag)) tuples.

Examples

from symbolica.community.vakint import VakintNumericalResult
result = VakintNumericalResult([
    (-3, (0.0, -11440.53140354612)),
    (-2, (0.0, 57169.95521898031)),
    (-1, (0.0, -178748.9838377694)),
    (0, (0.0, 321554.1122184795)),
])
values = result.to_list()
values[0]

`compare_to`

Method

compare_to(other: VakintNumericalResult, relative_threshold: float, error: Optional[VakintNumericalResult] = None, max_pull: Optional[float] = None) -> tuple[bool, str]

Compare this numerical result to another, returning a tuple of (bool, str) where the bool indicates whether the results match within the specified thresholds, and the str provides details of the comparison.

Examples

from symbolica.community.vakint import VakintNumericalResult
result1 = VakintNumericalResult([
    (-3, (0.0, -11440.53140354612)),
])
result2 = VakintNumericalResult([
    (-3, (0.0, -11440.53140354612)),
    (-2, (0.0, 2.0)),
])
matches, details = result1.compare_to(result2, relative_threshold=1e-5)
matches
"ε^-2" in details

Parameters

Name	Type	Default	Description
`other`	`VakintNumericalResult`	`—`	The other numerical result to compare to.
`relative_threshold`	`float`	`—`	The relative threshold for comparison.
`error`	`Optional[VakintNumericalResult]`	`None`	An optional numerical result representing the error in the evaluation.
`max_pull`	`Optional[float]`	`None`	The maximum pull for comparison. Default is 3.0.

View generated signature source: docs/api/python/vakint-community.pyi:441