def atan_func(x: torch.Tensor) -> torch.Tensor:
r"""arctan object function.
.. code-block:: python
return x.atan().div(math.pi).add(0.5)
Args:
x (torch.Tensor): The tensor ranging from
:math:`[-\infty], +\infty]`.
Returns:
torch.Tensor: The tensor ranging in ``[0, 1]``
"""
return x.atan().div(math.pi).add(0.5)
def ts2s(ts: Tensor, smax: Tensor) -> Tensor:
r"""Convert ts ≔ tan(s/s_max⋅π/2) to slew rate
Usage:
``s = ts2s(ts, smax)``
Inputs:
- ``ts``: `(N, xyz, nT)`, tan(s/smax*π/2), (-∞, ∞)
- ``smax``: `(N, xyz)`, max \|slew rate\|, Gauss/cm/Sec.
Outputs:
- ``s``: `(N, xyz, nT)`, slew rate, Gauss/cm/Sec.
See Also:
:func:`~mrphy.utils.s2ts`
"""
return ts.atan() / π * 2 * smax[..., None]
def atan_func(x: torch.Tensor) -> torch.Tensor:
return x.atan().div(math.pi).add(0.5)