# numpy.ma.allclose¶

Returns True if two arrays are element-wise equal within a tolerance.

This function is equivalent to `allclose` except that masked values are treated as equal (default) or unequal, depending on the `masked_equal` argument.

Parameters
a, barray_like

Input arrays to compare.

Whether masked values in a and b are considered equal (True) or not (False). They are considered equal by default.

rtolfloat, optional

Relative tolerance. The relative difference is equal to `rtol * b`. Default is 1e-5.

atolfloat, optional

Absolute tolerance. The absolute difference is equal to atol. Default is 1e-8.

Returns
ybool

Returns True if the two arrays are equal within the given tolerance, False otherwise. If either array contains NaN, then False is returned.

Notes

If the following equation is element-wise True, then `allclose` returns True:

```absolute(`a` - `b`) <= (`atol` + `rtol` * absolute(`b`))
```

Return True if all elements of a and b are equal subject to given tolerances.

Examples

```>>> a = np.ma.array([1e10, 1e-7, 42.0], mask=[0, 0, 1])
>>> a
fill_value=1e+20)
>>> b = np.ma.array([1e10, 1e-8, -42.0], mask=[0, 0, 1])
>>> np.ma.allclose(a, b)
False
```
```>>> a = np.ma.array([1e10, 1e-8, 42.0], mask=[0, 0, 1])
>>> b = np.ma.array([1.00001e10, 1e-9, -42.0], mask=[0, 0, 1])
>>> np.ma.allclose(a, b)
True
```>>> a = np.ma.array([1e10, 1e-8, 42.0], mask=[0, 0, 1])