NumpyTensorSpace._dist

NumpyTensorSpace._dist(x1, x2)

Return the distance between x1 and x2.

This function is part of the subclassing API. Do not call it directly.

Parameters:

x1, x2NumpyTensor

Elements whose mutual distance is calculated.

Returns:

distfloat

Distance between the elements.

Examples

Different exponents result in difference metrics:

>>> space_2 = odl.rn(3, exponent=2)
>>> x = space_2.element([-1, -1, 2])
>>> y = space_2.one()
>>> space_2.dist(x, y)
3.0

>>> space_1 = odl.rn(3, exponent=1)
>>> x = space_1.element([-1, -1, 2])
>>> y = space_1.one()
>>> space_1.dist(x, y)
5.0

Weighting is supported, too:

>>> space_1_w = odl.rn(3, exponent=1, weighting=[2, 1, 1])
>>> x = space_1_w.element([-1, -1, 2])
>>> y = space_1_w.one()
>>> space_1_w.dist(x, y)
7.0