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NumPy | allclose method

schedule Aug 11, 2023
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Numpy's allclose(~) performs an element-wise comparison given two arrays, and returns True if all of the differences between each pair falls within the specified tolerance.

Parameters

1. x1 | array-like

The first input array.

2. x2 | array-like

The second input array.

3. rtol | float | optional

The relative tolerance parameter. By default, rtol=0.

4. atol | float | optional

The absolute tolerance parameter. By default, atol is set to a small number (~1e-8)

5. equal_nan | boolean | optional

If True, then element-wise comparisons that involve two NaNs will evaluate to True. By default, equal_nan=False.

Here, the element-wise comparison evaluates to True if:

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

Return value

A single boolean that indicates whether or not two arrays are "close" enough.

Examples

Basic usage

np.allclose([2,3], [5,3])
False

Here, the first element-wise comparison 2 != 5, so the method returns False.

Specifying an absolute tolerance parameter

np.allclose([6,4], [8,3], atol=2)
True

Here, absolute(6,8) <= 2 and absolute(4,3) <= 2.

Specifying a relative tolerance parameter

np.allclose([6,3], [4,6], rtol=0.5)
True

Here, absolute(6,4) <= 4*0.5 and absolute(3,6) <= 6*0.5.

Comparing NaNs

np.allclose(np.NaN, np.NaN)
False
np.allclose(np.NaN, np.NaN, equal_nan=True)
True
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Published by Isshin Inada
Edited by 0 others
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