"""
SGDP Optimizer Implementation copied from https://github.com/clovaai/AdamP/blob/master/adamp/sgdp.py

Paper: `Slowing Down the Weight Norm Increase in Momentum-based Optimizers` - https://arxiv.org/abs/2006.08217
Code: https://github.com/clovaai/AdamP

Copyright (c) 2020-present NAVER Corp.
MIT license
"""

import torch
import torch.nn as nn
from torch.optim.optimizer import Optimizer, required
import math


class SGDP(Optimizer):
    def __init__(
        self,
        params,
        lr=required,
        momentum=0,
        dampening=0,
        weight_decay=0,
        nesterov=False,
        eps=1e-8,
        delta=0.1,
        wd_ratio=0.1,
    ):
        defaults = dict(
            lr=lr,
            momentum=momentum,
            dampening=dampening,
            weight_decay=weight_decay,
            nesterov=nesterov,
            eps=eps,
            delta=delta,
            wd_ratio=wd_ratio,
        )
        super(SGDP, self).__init__(params, defaults)

    def _channel_view(self, x):
        return x.view(x.size(0), -1)

    def _layer_view(self, x):
        return x.view(1, -1)

    def _cosine_similarity(self, x, y, eps, view_func):
        x = view_func(x)
        y = view_func(y)

        x_norm = x.norm(dim=1).add_(eps)
        y_norm = y.norm(dim=1).add_(eps)
        dot = (x * y).sum(dim=1)

        return dot.abs() / x_norm / y_norm

    def _projection(self, p, grad, perturb, delta, wd_ratio, eps):
        wd = 1
        expand_size = [-1] + [1] * (len(p.shape) - 1)
        for view_func in [self._channel_view, self._layer_view]:

            cosine_sim = self._cosine_similarity(grad, p.data, eps, view_func)

            if cosine_sim.max() < delta / math.sqrt(view_func(p.data).size(1)):
                p_n = p.data / view_func(p.data).norm(dim=1).view(expand_size).add_(eps)
                perturb -= p_n * view_func(p_n * perturb).sum(dim=1).view(expand_size)
                wd = wd_ratio

                return perturb, wd

        return perturb, wd

    def step(self, closure=None):
        loss = None
        if closure is not None:
            loss = closure()

        for group in self.param_groups:
            weight_decay = group["weight_decay"]
            momentum = group["momentum"]
            dampening = group["dampening"]
            nesterov = group["nesterov"]

            for p in group["params"]:
                if p.grad is None:
                    continue
                grad = p.grad.data
                state = self.state[p]

                # State initialization
                if len(state) == 0:
                    state["momentum"] = torch.zeros_like(p.data)

                # SGD
                buf = state["momentum"]
                buf.mul_(momentum).add_(1 - dampening, grad)
                if nesterov:
                    d_p = grad + momentum * buf
                else:
                    d_p = buf

                # Projection
                wd_ratio = 1
                if len(p.shape) > 1:
                    d_p, wd_ratio = self._projection(
                        p, grad, d_p, group["delta"], group["wd_ratio"], group["eps"]
                    )

                # Weight decay
                if weight_decay != 0:
                    p.data.mul_(
                        1
                        - group["lr"]
                        * group["weight_decay"]
                        * wd_ratio
                        / (1 - momentum)
                    )

                # Step
                p.data.add_(-group["lr"], d_p)

        return loss
