import numpy as np
import torch
import torch.nn as nn
from torch.autograd import Variable



def guassian_kernel(source, target, kernel_mul=2.0, kernel_num=5, fix_sigma=None):
    n_samples = int(source.size()[0]) + int(target.size()[0])
    total = torch.cat([source, target], dim=0)
    total0 = total.unsqueeze(0).expand(int(total.size(0)), int(total.size(0)), int(total.size(1)))
    total1 = total.unsqueeze(1).expand(int(total.size(0)), int(total.size(0)), int(total.size(1)))
    L2_distance = ((total0 - total1) ** 2).sum(2)
    if fix_sigma:
        bandwidth = fix_sigma
    else:
        bandwidth = torch.sum(L2_distance.data) / (n_samples ** 2 - n_samples)
    bandwidth /= kernel_mul ** (kernel_num // 2)
    bandwidth_list = [bandwidth * (kernel_mul ** i) for i in range(kernel_num)]
    kernel_val = [torch.exp(-L2_distance / bandwidth_temp) for bandwidth_temp in bandwidth_list]
    return sum(kernel_val)  # /len(kernel_val)

def JAN(source_list, target_list, kernel_muls=[2.0, 2.0], kernel_nums=[5, 1], fix_sigma_list=[None, 1.68]):
    batch_size = int(source_list[0].size()[0])
    layer_num = len(source_list)
    joint_kernels = None
    for i in range(layer_num):
        source = source_list[i]
        target = target_list[i]
        kernel_mul = kernel_muls[i]
        kernel_num = kernel_nums[i]
        fix_sigma = fix_sigma_list[i]
        kernels = guassian_kernel(source, target,
                                  kernel_mul=kernel_mul, kernel_num=kernel_num, fix_sigma=fix_sigma)
        if joint_kernels is not None:
            joint_kernels = joint_kernels * kernels
        else:
            joint_kernels = kernels

    XX = joint_kernels[:batch_size, :batch_size]
    YY = joint_kernels[batch_size:, batch_size:]
    XY = joint_kernels[:batch_size, batch_size:]
    YX = joint_kernels[batch_size:, :batch_size]
    loss = torch.mean(XX + YY - XY - YX)
    return loss