import numpy as np

""" Here I implemented the scoring functions.
    MAE, MSE, RMSE, RMSLE are included.

    Those are used for calculating differences between
    predicted values and actual values.

    Metrics are slightly differentiated. Sometimes squared, rooted,
    even log is used.

    Using log and roots can be perceived as tools for penalizing big
    erors. However, using appropriate metrics depends on the situations,
    and types of data
"""

#Mean Absolute Error
def mae(predict, actual):
    predict = np.array(predict)
    actual = np.array(actual)

    difference = abs(predict - actual)
    score = difference.mean()

    return score

#Mean Squared Error
def mse(predict, actual):
    predict = np.array(predict)
    actual = np.array(actual)

    difference = predict - actual
    square_diff = np.square(difference)

    score = square_diff.mean()
    return score

#Root Mean Squared Error
def rmse(predict, actual):
    predict = np.array(predict)
    actual = np.array(actual)

    difference = predict - actual
    square_diff = np.square(difference)
    mean_square_diff = square_diff.mean()
    score = np.sqrt(mean_square_diff)
    return score

#Root Mean Square Logarithmic Error
def rmsle(predict, actual):
    predict = np.array(predict)
    actual = np.array(actual)

    log_predict = np.log(predict+1)
    log_actual = np.log(actual+1)

    difference = log_predict - log_actual
    square_diff = np.square(difference)
    mean_square_diff = square_diff.mean()

    score = np.sqrt(mean_square_diff)

    return score

#Mean Bias Deviation
def mbd(predict, actual):
    predict = np.array(predict)
    actual = np.array(actual)

    difference = predict - actual
    numerator = np.sum(difference) / len(predict) 
    denumerator =  np.sum(actual) / len(predict)
    print str(numerator)
    print str(denumerator)

    score = float(numerator) / denumerator * 100

    return score