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_norm.py
import numpy as np

# Author: Jean Kossaifi

# License: BSD 3 clause



def norm(tensor, order):
    """Computes the l-`order` norm of tensor

    Parameters
    ----------
    tensor : ndarray
    order : int

    Returns
    -------
    float
        l-`order` norm of tensor
    """
    if order == 1:
        return np.sum(np.abs(tensor))
    elif order == 2:
        return np.sqrt(np.sum(tensor**2))
    else:
        return np.sum(np.abs(tensor)**order)**(1/order)
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