Smoothing
Functions to smooth distributions.
Functions¶
planck_tapering_function(x: Array, x_min: float, delta: float) -> Array
Planck tapering function to smoothly transition between 0 and 1.
References: - GWTC-4.0: Population Properties of Merging Compact Binaries: https://arxiv.org/abs/2508.18083
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
x
|
Array
|
The input value. |
required |
x_min
|
float
|
The minimum value of the transition region. |
required |
delta
|
float
|
The width of the transition region. |
required |
Returns:
| Type | Description |
|---|---|
Array
|
An array with the value of the tapering function at x. |
log_planck_tapering_function(x: Array, x_min: float, delta: float) -> Array
Log of the Planck tapering function to smoothly transition between 0 and 1.
References: - GWTC-4.0: Population Properties of Merging Compact Binaries: https://arxiv.org/abs/2508.18083
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
x
|
Array
|
The input value. |
required |
x_min
|
float
|
The minimum value of the transition region. |
required |
delta
|
float
|
The width of the transition region. |
required |
Returns:
| Type | Description |
|---|---|
Array
|
An array with the value of the log tapering function at x. |