# scipp.allclose#

scipp.allclose(x, y, rtol=None, atol=None, equal_nan=False)#

Checks if all elements in the inputs are close to each other.

Verifies that ALL element-wise comparisons meet the condition:

abs(x - y) <= atol + rtol * abs(y)

If both x and y have variances, the variances are also compared between elements. In this case, both values and variances must be within the computed tolerance limits. That is:

```abs(x.value - y.value) <= atol + rtol * abs(y.value) and abs(
sqrt(x.variance) - sqrt(y.variance))                 <= atol + rtol * abs(sqrt(y.variance))
```

Attention

Vectors and matrices are compared element-wise. This is not necessarily a good measure for the similarity of spatial dtypes like `scipp.DType.rotation3` or `scipp.Dtype.affine_transform3` (see `scipp.spatial`).

Parameters:
• x (`Variable`) – Left input.

• y (`Variable`) – Right input.

• rtol (, default: `None`) – Tolerance value relative (to y). Can be a scalar or non-scalar. Cannot have variances. Defaults to scalar 1e-5 if unset.

• atol (, default: `None`) – Tolerance value absolute. Can be a scalar or non-scalar. Cannot have variances. Defaults to scalar 1e-8 if unset and takes units from y arg.

• equal_nan (`bool`, default: `False`) – If true, non-finite values at the same index in (x, y) are treated as equal. Signbit must match for infs.

Returns:

`bool` – True if for all elements `value <= atol + rtol * abs(y)`, otherwise False.

`scipp.isclose`