# This code is part of Qiskit.
#
# (C) Copyright IBM 2017, 2018.
#
# This code is licensed under the Apache License, Version 2.0. You may
# obtain a copy of this license in the LICENSE.txt file in the root directory
# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
#
# Any modifications or derivative works of this code must retain this
# copyright notice, and modified files need to carry a notice indicating
# that they have been altered from the originals.

"""Helper functions for building dictionaries from matrices and lists."""

from __future__ import annotations
import math
import numpy as np


def make_dict_observable(matrix_observable: list | np.ndarray) -> dict:
    """Convert an observable in matrix form to dictionary form.

    Takes in a diagonal observable as a matrix and converts it to a dictionary
    form. Can also handle a list sorted of the diagonal elements.

    Args:
        matrix_observable (list): The observable to be converted to dictionary
        form. Can be a matrix or just an ordered list of observed values

    Returns:
        Dict: A dictionary with all observable states as keys, and corresponding
        values being the observed value for that state
    """
    dict_observable = {}
    observable = np.array(matrix_observable)
    observable_size = len(observable)
    observable_bits = math.ceil(math.log2(observable_size))
    binary_formatter = f"0{observable_bits}b"
    if observable.ndim == 2:
        observable = observable.diagonal()
    for state_no in range(observable_size):
        state_str = format(state_no, binary_formatter)
        dict_observable[state_str] = observable[state_no]
    return dict_observable