maxframe.tensor.expm1#
- maxframe.tensor.expm1(x, out=None, where=None, **kwargs)[source]#
Calculate
exp(x) - 1
for all elements in the tensor.- Parameters:
x (array_like) – Input values.
out (Tensor, None, or tuple of Tensor and None, optional) – A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or None, a freshly-allocated tensor is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs.
where (array_like, optional) – Values of True indicate to calculate the ufunc at that position, values of False indicate to leave the value in the output alone.
**kwargs
- Returns:
out – Element-wise exponential minus one:
out = exp(x) - 1
.- Return type:
Tensor
See also
log1p
log(1 + x)
, the inverse of expm1.
Notes
This function provides greater precision than
exp(x) - 1
for small values ofx
.Examples
The true value of
exp(1e-10) - 1
is1.00000000005e-10
to about 32 significant digits. This example shows the superiority of expm1 in this case.>>> import maxframe.tensor as mt
>>> mt.expm1(1e-10).execute() 1.00000000005e-10 >>> (mt.exp(1e-10) - 1).execute() 1.000000082740371e-10