Losses and metrics

losses.py

def euler_loss(y_true, y_pred):
    dist1 = tf.abs(y_true - y_pred)
    dist2 = tf.abs(2*np.pi + y_true - y_pred)
    dist3 = tf.abs(-2*np.pi + y_true - y_pred)
    loss = tf.where(dist1<dist2, dist1, dist2)
    loss = tf.where(loss<dist3, loss, dist3)
    return tf.reduce_mean(loss)
  
def quaternion_loss(y_true, y_pred):
    dist1 = tf.reduce_mean(tf.abs(y_true-y_pred), axis=-1)
    dist2 = tf.reduce_mean(tf.abs(y_true+y_pred), axis=-1)
    loss = tf.where(dist1<dist2, dist1, dist2)
    return tf.reduce_mean(loss)
  
def mean_angle_btw_vectors(v1, v2, eps = 1e-8):
    dot_product = tf.reduce_sum(v1*v2, axis=-1)
    cos_a = dot_product / (tf.norm(v1, axis=-1) * tf.norm(v2, axis=-1))
    cos_a = tf.clip_by_value(cos_a, -1 + eps, 1 - eps)
    angle_dist = tf.math.acos(cos_a) / np.pi * 180.0
    return tf.reduce_mean(angle_dist)

In Euler loss, are the inputs in radians or in degrees? If radians, is it in the range [-pi,pi] or [0, 2pi]?