isreal

→Tensor

isreal(x: Tensor)

source

Element-wise test for real-valued entries.

Lucid currently supports only real-valued floating dtypes (and complex tensors via the dedicated complex64 dtype), so for real inputs this predicate is uniformly True. Provided for API parity with reference frameworks that include both real and complex dtypes.

Parameters

xTensor

Input tensor.

Returns

Tensor

Boolean tensor of the same shape as x; every entry is True for real-valued inputs.

Notes

Mathematical definition (for real dtypes):

\text{out}_i = \text{True}.

For complex inputs (when supported), isreal reports True only where the imaginary part is exactly zero. The current implementation returns isfinite | isnan | isinf, which is a tautology for real dtypes.

Examples

>>> import lucid
>>> x = lucid.tensor([1.0, float('nan'), float('inf')])
>>> lucid.isreal(x)
Tensor([ True,  True,  True])