# Copyright 2020 Google Research. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# ==============================================================================
"""Region Similarity Calculators for BoxLists.

Region Similarity Calculators compare a pairwise measure of similarity
between the boxes in two BoxLists.
"""
from abc import ABCMeta
from abc import abstractmethod

import tensorflow.compat.v1 as tf


def area(boxlist, scope=None):
    """Computes area of boxes.

    Args:
      boxlist: BoxList holding N boxes
      scope: name scope.

    Returns:
      a tensor with shape [N] representing box areas.
    """
    with tf.name_scope(scope, "Area"):
        y_min, x_min, y_max, x_max = tf.split(value=boxlist.get(), num_or_size_splits=4, axis=1)
        return tf.squeeze((y_max - y_min) * (x_max - x_min), [1])


def intersection(boxlist1, boxlist2, scope=None):
    """Compute pairwise intersection areas between boxes.

    Args:
      boxlist1: BoxList holding N boxes
      boxlist2: BoxList holding M boxes
      scope: name scope.

    Returns:
      a tensor with shape [N, M] representing pairwise intersections
    """
    with tf.name_scope(scope, "Intersection"):
        y_min1, x_min1, y_max1, x_max1 = tf.split(value=boxlist1.get(), num_or_size_splits=4, axis=1)
        y_min2, x_min2, y_max2, x_max2 = tf.split(value=boxlist2.get(), num_or_size_splits=4, axis=1)
        all_pairs_min_ymax = tf.minimum(y_max1, tf.transpose(y_max2))
        all_pairs_max_ymin = tf.maximum(y_min1, tf.transpose(y_min2))
        intersect_heights = tf.maximum(0.0, all_pairs_min_ymax - all_pairs_max_ymin)
        all_pairs_min_xmax = tf.minimum(x_max1, tf.transpose(x_max2))
        all_pairs_max_xmin = tf.maximum(x_min1, tf.transpose(x_min2))
        intersect_widths = tf.maximum(0.0, all_pairs_min_xmax - all_pairs_max_xmin)
        return intersect_heights * intersect_widths


def iou(boxlist1, boxlist2, scope=None):
    """Computes pairwise intersection-over-union between box collections.

    Args:
      boxlist1: BoxList holding N boxes
      boxlist2: BoxList holding M boxes
      scope: name scope.

    Returns:
      a tensor with shape [N, M] representing pairwise iou scores.
    """
    with tf.name_scope(scope, "IOU"):
        intersections = intersection(boxlist1, boxlist2)
        areas1 = area(boxlist1)
        areas2 = area(boxlist2)
        unions = tf.expand_dims(areas1, 1) + tf.expand_dims(areas2, 0) - intersections
        return tf.where(tf.equal(intersections, 0.0), tf.zeros_like(intersections), tf.truediv(intersections, unions))


class RegionSimilarityCalculator(object):
    """Abstract base class for region similarity calculator."""

    __metaclass__ = ABCMeta

    def compare(self, boxlist1, boxlist2, scope=None):
        """Computes matrix of pairwise similarity between BoxLists.

        This op (to be overridden) computes a measure of pairwise similarity between
        the boxes in the given BoxLists. Higher values indicate more similarity.

        Note that this method simply measures similarity and does not explicitly
        perform a matching.

        Args:
          boxlist1: BoxList holding N boxes.
          boxlist2: BoxList holding M boxes.
          scope: Op scope name. Defaults to 'Compare' if None.

        Returns:
          a (float32) tensor of shape [N, M] with pairwise similarity score.
        """
        with tf.name_scope(scope, "Compare", [boxlist1, boxlist2]) as scope:
            return self._compare(boxlist1, boxlist2)

    @abstractmethod
    def _compare(self, boxlist1, boxlist2):
        pass


class IouSimilarity(RegionSimilarityCalculator):
    """Class to compute similarity based on Intersection over Union (IOU) metric.

    This class computes pairwise similarity between two BoxLists based on IOU.
    """

    def _compare(self, boxlist1, boxlist2):
        """Compute pairwise IOU similarity between the two BoxLists.

        Args:
          boxlist1: BoxList holding N boxes.
          boxlist2: BoxList holding M boxes.

        Returns:
          A tensor with shape [N, M] representing pairwise iou scores.
        """
        return iou(boxlist1, boxlist2)
