# Copyright (c) 2022 PaddlePaddle Authors. 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.

from paddle.distribution import constraint


class Variable(object):
    """Random variable of probability distribution.

    Args:
        is_discrete (bool): Is the variable discrete or continuous.
        event_rank (int): The rank of event dimensions.
    """

    def __init__(self, is_discrete=False, event_rank=0, constraint=None):
        self._is_discrete = is_discrete
        self._event_rank = event_rank
        self._constraint = constraint

    @property
    def is_discrete(self):
        return self._is_discrete

    @property
    def event_rank(self):
        return self._event_rank

    def constraint(self, value):
        """Check whether the 'value' meet the constraint conditions of this 
        random variable."""
        return self._constraint(value)


class Real(Variable):
    def __init__(self, event_rank=0):
        super(Real, self).__init__(False, event_rank, constraint.real)


class Positive(Variable):
    def __init__(self, event_rank=0):
        super(Positive, self).__init__(False, event_rank, constraint.positive)


class Independent(Variable):
    """Reinterprets some of the batch axes of variable as event axes.

    Args:
        base (Variable): Base variable.
        reinterpreted_batch_rank (int): The rightmost batch rank to be 
            reinterpreted. 
    """

    def __init__(self, base, reinterpreted_batch_rank):
        self._base = base
        self._reinterpreted_batch_rank = reinterpreted_batch_rank
        super(Independent, self).__init__(
            base.is_discrete, base.event_rank + reinterpreted_batch_rank)

    def constraint(self, value):
        ret = self._base.constraint(value)
        if ret.dim() < self._reinterpreted_batch_rank:
            raise ValueError(
                "Input dimensions must be equal or grater than  {}".format(
                    self._reinterpreted_batch_rank))
        return ret.reshape(ret.shape[:ret.dim() - self.reinterpreted_batch_rank]
                           + (-1, )).all(-1)


class Stack(Variable):
    def __init__(self, vars, axis=0):
        self._vars = vars
        self._axis = axis

    @property
    def is_discrete(self):
        return any(var.is_discrete for var in self._vars)

    @property
    def event_rank(self):
        rank = max(var.event_rank for var in self._vars)
        if self._axis + rank < 0:
            rank += 1
        return rank

    def constraint(self, value):
        if not (-value.dim() <= self._axis < value.dim()):
            raise ValueError(
                f'Input dimensions {value.dim()} should be grater than stack '
                f'constraint axis {self._axis}.')

        return paddle.stack([
            var.check(value)
            for var, value in zip(self._vars, paddle.unstack(value, self._axis))
        ], self._axis)


real = Real()
positive = Positive()