b30c1d8 over 1 year ago

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import torch
import torch.nn as nn
from pointnet2_ops import pointnet2_utils
import contextlib
import logging
import torch.nn.functional as F

def fps(data, number):
    '''
        data B N 3
        number int
    '''
    fps_idx = pointnet2_utils.furthest_point_sample(data, number)
    fps_data = pointnet2_utils.gather_operation(data.transpose(1, 2).contiguous(), fps_idx).transpose(1,2).contiguous()
    return fps_data


def index_points(points, idx):
    """
    Input:
        points: input points data, [B, N, C]
        idx: sample index data, [B, S]
    Return:
        new_points:, indexed points data, [B, S, C]
    """
    device = points.device
    B = points.shape[0]
    view_shape = list(idx.shape)
    view_shape[1:] = [1] * (len(view_shape) - 1)
    repeat_shape = list(idx.shape)
    repeat_shape[0] = 1
    batch_indices = torch.arange(B, dtype=torch.long).to(device).view(view_shape).repeat(repeat_shape)
    new_points = points[batch_indices, idx, :]
    return new_points


# https://github.com/Strawberry-Eat-Mango/PCT_Pytorch/blob/main/util.py 
def knn_point(nsample, xyz, new_xyz):
    """
    Input:
        nsample: max sample number in local region
        xyz: all points, [B, N, C]
        new_xyz: query points, [B, S, C]
    Return:
        group_idx: grouped points index, [B, S, nsample]
    """
    sqrdists = square_distance(new_xyz, xyz)
    _, group_idx = torch.topk(sqrdists, nsample, dim = -1, largest=False, sorted=False)
    return group_idx

def square_distance(src, dst):
    """
    Calculate Euclid distance between each two points.
    src^T * dst = xn * xm + yn * ym + zn * zm;
    sum(src^2, dim=-1) = xn*xn + yn*yn + zn*zn;
    sum(dst^2, dim=-1) = xm*xm + ym*ym + zm*zm;
    dist = (xn - xm)^2 + (yn - ym)^2 + (zn - zm)^2
         = sum(src**2,dim=-1)+sum(dst**2,dim=-1)-2*src^T*dst
    Input:
        src: source points, [B, N, C]
        dst: target points, [B, M, C]
    Output:
        dist: per-point square distance, [B, N, M]
    """
    B, N, _ = src.shape
    _, M, _ = dst.shape
    dist = -2 * torch.matmul(src, dst.permute(0, 2, 1))
    dist += torch.sum(src ** 2, -1).view(B, N, 1)
    dist += torch.sum(dst ** 2, -1).view(B, 1, M)
    return dist    


class PatchDropout(nn.Module):
    """
    https://arxiv.org/abs/2212.00794
    """

    def __init__(self, prob, exclude_first_token=True):
        super().__init__()
        assert 0 <= prob < 1.
        self.prob = prob
        self.exclude_first_token = exclude_first_token  # exclude CLS token
        logging.info("patch dropout prob is {}".format(prob))

    def forward(self, x):
        # if not self.training or self.prob == 0.:
        #     return x

        if self.exclude_first_token:
            cls_tokens, x = x[:, :1], x[:, 1:]
        else:
            cls_tokens = torch.jit.annotate(torch.Tensor, x[:, :1])

        batch = x.size()[0]
        num_tokens = x.size()[1]

        batch_indices = torch.arange(batch)
        batch_indices = batch_indices[..., None]

        keep_prob = 1 - self.prob
        num_patches_keep = max(1, int(num_tokens * keep_prob))

        rand = torch.randn(batch, num_tokens)
        patch_indices_keep = rand.topk(num_patches_keep, dim=-1).indices

        x = x[batch_indices, patch_indices_keep]

        if self.exclude_first_token:
            x = torch.cat((cls_tokens, x), dim=1)

        return x


class Group(nn.Module):
    def __init__(self, num_group, group_size):
        super().__init__()
        self.num_group = num_group
        self.group_size = group_size

    def forward(self, xyz, color):
        '''
            input: B N 3
            ---------------------------
            output: B G M 3
            center : B G 3
        '''
        batch_size, num_points, _ = xyz.shape
        # fps the centers out
        center = fps(xyz, self.num_group) # B G 3
        # knn to get the neighborhood
        # _, idx = self.knn(xyz, center) # B G M
        idx = knn_point(self.group_size, xyz, center) # B G M
        assert idx.size(1) == self.num_group
        assert idx.size(2) == self.group_size
        idx_base = torch.arange(0, batch_size, device=xyz.device).view(-1, 1, 1) * num_points
        idx = idx + idx_base
        idx = idx.view(-1)
        neighborhood = xyz.view(batch_size * num_points, -1)[idx, :]
        neighborhood = neighborhood.view(batch_size, self.num_group, self.group_size, 3).contiguous()

        neighborhood_color = color.view(batch_size * num_points, -1)[idx, :]
        neighborhood_color = neighborhood_color.view(batch_size, self.num_group, self.group_size, 3).contiguous()

        # normalize
        neighborhood = neighborhood - center.unsqueeze(2)

        features = torch.cat((neighborhood, neighborhood_color), dim=-1)
        return neighborhood, center, features

class Encoder(nn.Module):
    def __init__(self, encoder_channel):
        super().__init__()
        self.encoder_channel = encoder_channel
        self.first_conv = nn.Sequential(
            nn.Conv1d(6, 128, 1),
            nn.BatchNorm1d(128),
            nn.ReLU(inplace=True),
            nn.Conv1d(128, 256, 1)
        )
        self.second_conv = nn.Sequential(
            nn.Conv1d(512, 512, 1),
            nn.BatchNorm1d(512),
            nn.ReLU(inplace=True),
            nn.Conv1d(512, self.encoder_channel, 1)
        )
    def forward(self, point_groups):
        '''
            point_groups : B G N 3
            -----------------
            feature_global : B G C
        '''
        bs, g, n , _ = point_groups.shape
        point_groups = point_groups.reshape(bs * g, n, 6)
        # encoder
        feature = self.first_conv(point_groups.transpose(2,1))  # BG 256 n
        feature_global = torch.max(feature,dim=2,keepdim=True)[0]  # BG 256 1
        feature = torch.cat([feature_global.expand(-1,-1,n), feature], dim=1)# BG 512 n
        feature = self.second_conv(feature) # BG 1024 n
        feature_global = torch.max(feature, dim=2, keepdim=False)[0] # BG 1024
        return feature_global.reshape(bs, g, self.encoder_channel)



class skeleton_Group(nn.Module):
    def __init__(self, num_group=32, group_size=8):
        super().__init__()
        self.num_group = num_group
        self.group_size = group_size

    def forward(self, xyz, token_feat,  num_group=32, group_size=8):
        '''
            xyz: 所有token的xyz
            input: B N 3
            ---------------------------
            output: B G M 3
            center : B G 3
        '''
        self.num_group = num_group
        self.group_size = group_size

        batch_size, num_points, _ = xyz.shape
        _, _, C_ = token_feat.shape
        # fps the centers out
        center = fps(xyz, self.num_group) # B G 3
        # knn to get the neighborhood
        # _, idx = self.knn(xyz, center) # B G M
        idx = knn_point(self.group_size, xyz, center) # B G M

        assert idx.size(1) == self.num_group
        assert idx.size(2) == self.group_size
        idx_base = torch.arange(0, batch_size, device=xyz.device).view(-1, 1, 1) * num_points
        idx = idx + idx_base
        idx = idx.view(-1)

        token_feat = token_feat.contiguous()
        neighborhood_token_feat = token_feat.view(batch_size * num_points, -1)[idx, :]
        # T_p: B, 32, 8,384 ->    B, M, K, C
        neighborhood_token_feat = neighborhood_token_feat.view(batch_size, self.num_group, self.group_size, C_).contiguous()



        # T_m: # B，32, 384 -> B, M, C
        center_token, _ = torch.max(neighborhood_token_feat, dim=2)


        # #### fix OM——pooling  no resnet, no dim norm
        # T_m:   B，32,1, 384 -> B, M, 1, C
        center_token = center_token.unsqueeze(2)
        # T_m (T):  B，32,384, 1 -> B, M, C, 1
        center_token = center_token.permute(0, 1, 3, 2)

        neighborhood_token_feat_ = torch.nn.functional.normalize(neighborhood_token_feat, p=2, dim=-1)
        center_token_ = torch.nn.functional.normalize(center_token, p=2, dim=-2)

        # A: B, 32, 8, 1 ->  B, M, K, 1
        router_weights = torch.einsum('btnj,btjm->btnm', [neighborhood_token_feat_, center_token_])
        # A(T): B, 32, 1, 8 ->  B, M, 1, K
        router_weights = router_weights.permute(0, 1, 3, 2)
        # A(T): B, 32, 1, 8 ->  B, M, 1, K
        router_weights = F.softmax(router_weights, dim=-1)


        # T^p_pc: B, 32,  1, 384 ->  B, M, 1, C
        skeleton_token = torch.einsum('bmok, bmkc->bmoc', [router_weights, neighborhood_token_feat])
        skeleton_token = skeleton_token.squeeze(dim=-2)
        ####

        return skeleton_token





class PointcloudEncoder(nn.Module):
    def __init__(self, point_transformer, args):
        super().__init__()
        from easydict import EasyDict
        self.trans_dim = args.pc_feat_dim # 768
        self.embed_dim = args.embed_dim # 512
        self.group_size = args.group_size # 32
        self.num_group = args.num_group # 512
        # grouper
        self.group_divider = Group(num_group = self.num_group, group_size = self.group_size)
        self.skeleton_Group  = skeleton_Group()
        # define the encoder
        self.encoder_dim =  args.pc_encoder_dim # 256
        self.encoder = Encoder(encoder_channel = self.encoder_dim)
       
        # bridge encoder and transformer
        self.encoder2trans = nn.Linear(self.encoder_dim,  self.trans_dim)
        
        # bridge transformer and clip embedding
        self.trans2embed = nn.Linear(self.trans_dim,  self.embed_dim)
        self.cls_token = nn.Parameter(torch.zeros(1, 1, self.trans_dim))
        self.cls_pos = nn.Parameter(torch.randn(1, 1, self.trans_dim))

        self.pos_embed = nn.Sequential(
            nn.Linear(3, 128),
            nn.GELU(),
            nn.Linear(128, self.trans_dim)
        )  
        # setting a patch_dropout of 0. would mean it is disabled and this function would be the identity fn
        self.patch_dropout = PatchDropout(args.patch_dropout) if args.patch_dropout > 0. else nn.Identity()
        self.visual = point_transformer

        self.float_flag =False #


    def forward(self, pc, get_pc_tokens_way=None):

        pc = pc.to(dtype=torch.float)

        pts = pc[:,:,:3].contiguous()
        colors = pc[:,:,3:].contiguous()

        # divide the point cloud in the same form. This is important
        _, center, features = self.group_divider(pts, colors)


        # encoder the input cloud patches
        group_input_tokens = self.encoder(features)  #  B G N

        group_input_tokens = self.encoder2trans(group_input_tokens)
        # prepare cls
        cls_tokens = self.cls_token.expand(group_input_tokens.size(0), -1, -1)
        cls_pos = self.cls_pos.expand(group_input_tokens.size(0), -1, -1)
        # add pos embedding
        pos = self.pos_embed(center)
        # final input
        x = torch.cat((cls_tokens, group_input_tokens), dim=1)
        pos = torch.cat((cls_pos, pos), dim=1)
        # transformer
        x = x + pos
        # x = x.half()

        # a patch_dropout of 0. would mean it is disabled and this function would do nothing but return what was passed in
        x = self.patch_dropout(x)

        x = self.visual.pos_drop(x)

        # ModuleList not support forward
        block_len = len(self.visual.blocks)
        for i, blk in enumerate(self.visual.blocks):
            x = blk(x)
            if block_len-2 == i:
                last_sec_x =x


        if get_pc_tokens_way=="CLS": # CLS
            x = self.visual.norm(x[:, 0, :])
            x = self.visual.fc_norm(x)
            x = self.trans2embed(x)
            x = x.unsqueeze(1)

        elif get_pc_tokens_way=="OM_Pooling":


            pc_skeleton = self.skeleton_Group(center,  last_sec_x[:, 1:])

            x = torch.cat([x[:, 0].unsqueeze(1), x[:, 1:].max(1)[0].unsqueeze(1), x[:, 1:].mean(1).unsqueeze(1), torch.sum(x[:, 1:], dim=1).unsqueeze(1), pc_skeleton], dim=-2)
            x = self.visual.norm(x)
            x = self.visual.fc_norm(x)
            x = self.trans2embed(x)

        return x

	import torch
	import torch.nn as nn
	from pointnet2_ops import pointnet2_utils
	import contextlib
	import logging
	import torch.nn.functional as F

	def fps(data, number):
	'''
	data B N 3
	number int
	'''
	fps_idx = pointnet2_utils.furthest_point_sample(data, number)
	fps_data = pointnet2_utils.gather_operation(data.transpose(1, 2).contiguous(), fps_idx).transpose(1,2).contiguous()
	return fps_data


	def index_points(points, idx):
	"""
	Input:
	points: input points data, [B, N, C]
	idx: sample index data, [B, S]
	Return:
	new_points:, indexed points data, [B, S, C]
	"""
	device = points.device
	B = points.shape[0]
	view_shape = list(idx.shape)
	view_shape[1:] = [1] * (len(view_shape) - 1)
	repeat_shape = list(idx.shape)
	repeat_shape[0] = 1
	batch_indices = torch.arange(B, dtype=torch.long).to(device).view(view_shape).repeat(repeat_shape)
	new_points = points[batch_indices, idx, :]
	return new_points


	# https://github.com/Strawberry-Eat-Mango/PCT_Pytorch/blob/main/util.py
	def knn_point(nsample, xyz, new_xyz):
	"""
	Input:
	nsample: max sample number in local region
	xyz: all points, [B, N, C]
	new_xyz: query points, [B, S, C]
	Return:
	group_idx: grouped points index, [B, S, nsample]
	"""
	sqrdists = square_distance(new_xyz, xyz)
	_, group_idx = torch.topk(sqrdists, nsample, dim = -1, largest=False, sorted=False)
	return group_idx

	def square_distance(src, dst):
	"""
	Calculate Euclid distance between each two points.
	src^T * dst = xn * xm + yn * ym + zn * zm;
	sum(src^2, dim=-1) = xnxn + ynyn + zn*zn;
	sum(dst^2, dim=-1) = xmxm + ymym + zm*zm;
	dist = (xn - xm)^2 + (yn - ym)^2 + (zn - zm)^2
	= sum(src2,dim=-1)+sum(dst2,dim=-1)-2src^Tdst
	Input:
	src: source points, [B, N, C]
	dst: target points, [B, M, C]
	Output:
	dist: per-point square distance, [B, N, M]
	"""
	B, N, _ = src.shape
	_, M, _ = dst.shape
	dist = -2 * torch.matmul(src, dst.permute(0, 2, 1))
	dist += torch.sum(src ** 2, -1).view(B, N, 1)
	dist += torch.sum(dst ** 2, -1).view(B, 1, M)
	return dist


	class PatchDropout(nn.Module):
	"""
	https://arxiv.org/abs/2212.00794
	"""

	def __init__(self, prob, exclude_first_token=True):
	super().__init__()
	assert 0 <= prob < 1.
	self.prob = prob
	self.exclude_first_token = exclude_first_token # exclude CLS token
	logging.info("patch dropout prob is {}".format(prob))

	def forward(self, x):
	# if not self.training or self.prob == 0.:
	# return x

	if self.exclude_first_token:
	cls_tokens, x = x[:, :1], x[:, 1:]
	else:
	cls_tokens = torch.jit.annotate(torch.Tensor, x[:, :1])

	batch = x.size()[0]
	num_tokens = x.size()[1]

	batch_indices = torch.arange(batch)
	batch_indices = batch_indices[..., None]

	keep_prob = 1 - self.prob
	num_patches_keep = max(1, int(num_tokens * keep_prob))

	rand = torch.randn(batch, num_tokens)
	patch_indices_keep = rand.topk(num_patches_keep, dim=-1).indices

	x = x[batch_indices, patch_indices_keep]

	if self.exclude_first_token:
	x = torch.cat((cls_tokens, x), dim=1)

	return x


	class Group(nn.Module):
	def __init__(self, num_group, group_size):
	super().__init__()
	self.num_group = num_group
	self.group_size = group_size

	def forward(self, xyz, color):
	'''
	input: B N 3
	---------------------------
	output: B G M 3
	center : B G 3
	'''
	batch_size, num_points, _ = xyz.shape
	# fps the centers out
	center = fps(xyz, self.num_group) # B G 3
	# knn to get the neighborhood
	# _, idx = self.knn(xyz, center) # B G M
	idx = knn_point(self.group_size, xyz, center) # B G M
	assert idx.size(1) == self.num_group
	assert idx.size(2) == self.group_size
	idx_base = torch.arange(0, batch_size, device=xyz.device).view(-1, 1, 1) * num_points
	idx = idx + idx_base
	idx = idx.view(-1)
	neighborhood = xyz.view(batch_size * num_points, -1)[idx, :]
	neighborhood = neighborhood.view(batch_size, self.num_group, self.group_size, 3).contiguous()

	neighborhood_color = color.view(batch_size * num_points, -1)[idx, :]
	neighborhood_color = neighborhood_color.view(batch_size, self.num_group, self.group_size, 3).contiguous()

	# normalize
	neighborhood = neighborhood - center.unsqueeze(2)

	features = torch.cat((neighborhood, neighborhood_color), dim=-1)
	return neighborhood, center, features

	class Encoder(nn.Module):
	def __init__(self, encoder_channel):
	super().__init__()
	self.encoder_channel = encoder_channel
	self.first_conv = nn.Sequential(
	nn.Conv1d(6, 128, 1),
	nn.BatchNorm1d(128),
	nn.ReLU(inplace=True),
	nn.Conv1d(128, 256, 1)
	)
	self.second_conv = nn.Sequential(
	nn.Conv1d(512, 512, 1),
	nn.BatchNorm1d(512),
	nn.ReLU(inplace=True),
	nn.Conv1d(512, self.encoder_channel, 1)
	)
	def forward(self, point_groups):
	'''
	point_groups : B G N 3
	-----------------
	feature_global : B G C
	'''
	bs, g, n , _ = point_groups.shape
	point_groups = point_groups.reshape(bs * g, n, 6)
	# encoder
	feature = self.first_conv(point_groups.transpose(2,1)) # BG 256 n
	feature_global = torch.max(feature,dim=2,keepdim=True)[0] # BG 256 1
	feature = torch.cat([feature_global.expand(-1,-1,n), feature], dim=1)# BG 512 n
	feature = self.second_conv(feature) # BG 1024 n
	feature_global = torch.max(feature, dim=2, keepdim=False)[0] # BG 1024
	return feature_global.reshape(bs, g, self.encoder_channel)



	class skeleton_Group(nn.Module):
	def __init__(self, num_group=32, group_size=8):
	super().__init__()
	self.num_group = num_group
	self.group_size = group_size

	def forward(self, xyz, token_feat, num_group=32, group_size=8):
	'''
	xyz: 所有token的xyz

	input: B N 3
	---------------------------
	output: B G M 3
	center : B G 3
	'''
	self.num_group = num_group
	self.group_size = group_size

	batch_size, num_points, _ = xyz.shape
	_, _, C_ = token_feat.shape
	# fps the centers out
	center = fps(xyz, self.num_group) # B G 3
	# knn to get the neighborhood
	# _, idx = self.knn(xyz, center) # B G M
	idx = knn_point(self.group_size, xyz, center) # B G M

	assert idx.size(1) == self.num_group
	assert idx.size(2) == self.group_size
	idx_base = torch.arange(0, batch_size, device=xyz.device).view(-1, 1, 1) * num_points
	idx = idx + idx_base
	idx = idx.view(-1)

	token_feat = token_feat.contiguous()
	neighborhood_token_feat = token_feat.view(batch_size * num_points, -1)[idx, :]
	# T_p: B, 32, 8,384 -> B, M, K, C
	neighborhood_token_feat = neighborhood_token_feat.view(batch_size, self.num_group, self.group_size, C_).contiguous()



	# T_m: # B，32, 384 -> B, M, C
	center_token, _ = torch.max(neighborhood_token_feat, dim=2)


	# #### fix OM——pooling no resnet, no dim norm
	# T_m: B，32,1, 384 -> B, M, 1, C
	center_token = center_token.unsqueeze(2)
	# T_m (T): B，32,384, 1 -> B, M, C, 1
	center_token = center_token.permute(0, 1, 3, 2)

	neighborhood_token_feat_ = torch.nn.functional.normalize(neighborhood_token_feat, p=2, dim=-1)
	center_token_ = torch.nn.functional.normalize(center_token, p=2, dim=-2)

	# A: B, 32, 8, 1 -> B, M, K, 1
	router_weights = torch.einsum('btnj,btjm->btnm', [neighborhood_token_feat_, center_token_])
	# A(T): B, 32, 1, 8 -> B, M, 1, K
	router_weights = router_weights.permute(0, 1, 3, 2)
	# A(T): B, 32, 1, 8 -> B, M, 1, K
	router_weights = F.softmax(router_weights, dim=-1)


	# T^p_pc: B, 32, 1, 384 -> B, M, 1, C
	skeleton_token = torch.einsum('bmok, bmkc->bmoc', [router_weights, neighborhood_token_feat])
	skeleton_token = skeleton_token.squeeze(dim=-2)
	####

	return skeleton_token





	class PointcloudEncoder(nn.Module):
	def __init__(self, point_transformer, args):
	super().__init__()
	from easydict import EasyDict
	self.trans_dim = args.pc_feat_dim # 768
	self.embed_dim = args.embed_dim # 512
	self.group_size = args.group_size # 32
	self.num_group = args.num_group # 512
	# grouper
	self.group_divider = Group(num_group = self.num_group, group_size = self.group_size)
	self.skeleton_Group = skeleton_Group()
	# define the encoder
	self.encoder_dim = args.pc_encoder_dim # 256
	self.encoder = Encoder(encoder_channel = self.encoder_dim)

	# bridge encoder and transformer
	self.encoder2trans = nn.Linear(self.encoder_dim, self.trans_dim)

	# bridge transformer and clip embedding
	self.trans2embed = nn.Linear(self.trans_dim, self.embed_dim)
	self.cls_token = nn.Parameter(torch.zeros(1, 1, self.trans_dim))
	self.cls_pos = nn.Parameter(torch.randn(1, 1, self.trans_dim))

	self.pos_embed = nn.Sequential(
	nn.Linear(3, 128),
	nn.GELU(),
	nn.Linear(128, self.trans_dim)
	)
	# setting a patch_dropout of 0. would mean it is disabled and this function would be the identity fn
	self.patch_dropout = PatchDropout(args.patch_dropout) if args.patch_dropout > 0. else nn.Identity()
	self.visual = point_transformer

	self.float_flag =False #


	def forward(self, pc, get_pc_tokens_way=None):

	pc = pc.to(dtype=torch.float)

	pts = pc[:,:,:3].contiguous()
	colors = pc[:,:,3:].contiguous()

	# divide the point cloud in the same form. This is important
	_, center, features = self.group_divider(pts, colors)


	# encoder the input cloud patches
	group_input_tokens = self.encoder(features) # B G N

	group_input_tokens = self.encoder2trans(group_input_tokens)
	# prepare cls
	cls_tokens = self.cls_token.expand(group_input_tokens.size(0), -1, -1)
	cls_pos = self.cls_pos.expand(group_input_tokens.size(0), -1, -1)
	# add pos embedding
	pos = self.pos_embed(center)
	# final input
	x = torch.cat((cls_tokens, group_input_tokens), dim=1)
	pos = torch.cat((cls_pos, pos), dim=1)
	# transformer
	x = x + pos
	# x = x.half()

	# a patch_dropout of 0. would mean it is disabled and this function would do nothing but return what was passed in
	x = self.patch_dropout(x)

	x = self.visual.pos_drop(x)

	# ModuleList not support forward
	block_len = len(self.visual.blocks)
	for i, blk in enumerate(self.visual.blocks):
	x = blk(x)
	if block_len-2 == i:
	last_sec_x =x


	if get_pc_tokens_way=="CLS": # CLS
	x = self.visual.norm(x[:, 0, :])
	x = self.visual.fc_norm(x)
	x = self.trans2embed(x)
	x = x.unsqueeze(1)

	elif get_pc_tokens_way=="OM_Pooling":


	pc_skeleton = self.skeleton_Group(center, last_sec_x[:, 1:])

	x = torch.cat([x[:, 0].unsqueeze(1), x[:, 1:].max(1)[0].unsqueeze(1), x[:, 1:].mean(1).unsqueeze(1), torch.sum(x[:, 1:], dim=1).unsqueeze(1), pc_skeleton], dim=-2)
	x = self.visual.norm(x)
	x = self.visual.fc_norm(x)
	x = self.trans2embed(x)

	return x