core/modules/attention_temporal.py

import math

import torch
import torch as th
import torch.nn.functional as F
from einops import rearrange, repeat
from torch import nn, einsum

try:
    import xformers
    import xformers.ops

    XFORMERS_IS_AVAILBLE = True
except:
    XFORMERS_IS_AVAILBLE = False
from core.common import gradient_checkpoint, exists, default
from core.basics import conv_nd, zero_module, normalization


class GEGLU(nn.Module):
    def __init__(self, dim_in, dim_out):
        super().__init__()
        self.proj = nn.Linear(dim_in, dim_out * 2)

    def forward(self, x):
        x, gate = self.proj(x).chunk(2, dim=-1)
        return x * F.gelu(gate)


class FeedForward(nn.Module):
    def __init__(self, dim, dim_out=None, mult=4, glu=False, dropout=0.0):
        super().__init__()
        inner_dim = int(dim * mult)
        dim_out = default(dim_out, dim)
        project_in = (
            nn.Sequential(nn.Linear(dim, inner_dim), nn.GELU())
            if not glu
            else GEGLU(dim, inner_dim)
        )

        self.net = nn.Sequential(
            project_in, nn.Dropout(dropout), nn.Linear(inner_dim, dim_out)
        )

    def forward(self, x):
        return self.net(x)


def Normalize(in_channels):
    return torch.nn.GroupNorm(
        num_groups=32, num_channels=in_channels, eps=1e-6, affine=True
    )


class RelativePosition(nn.Module):

    def __init__(self, num_units, max_relative_position):
        super().__init__()
        self.num_units = num_units
        self.max_relative_position = max_relative_position
        self.embeddings_table = nn.Parameter(
            th.Tensor(max_relative_position * 2 + 1, num_units)
        )
        nn.init.xavier_uniform_(self.embeddings_table)

    def forward(self, length_q, length_k):
        device = self.embeddings_table.device
        range_vec_q = th.arange(length_q, device=device)
        range_vec_k = th.arange(length_k, device=device)
        distance_mat = range_vec_k[None, :] - range_vec_q[:, None]
        distance_mat_clipped = th.clamp(
            distance_mat, -self.max_relative_position, self.max_relative_position
        )
        final_mat = distance_mat_clipped + self.max_relative_position
        final_mat = final_mat.long()
        embeddings = self.embeddings_table[final_mat]
        return embeddings


class TemporalCrossAttention(nn.Module):
    def __init__(
        self,
        query_dim,
        context_dim=None,
        heads=8,
        dim_head=64,
        dropout=0.0,
        # For relative positional representation and image-video joint training.
        temporal_length=None,
        image_length=None,  # For image-video joint training.
        # whether use relative positional representation in temporal attention.
        use_relative_position=False,
        # For image-video joint training.
        img_video_joint_train=False,
        use_tempoal_causal_attn=False,
        bidirectional_causal_attn=False,
        tempoal_attn_type=None,
        joint_train_mode="same_batch",
        **kwargs,
    ):
        super().__init__()
        inner_dim = dim_head * heads
        context_dim = default(context_dim, query_dim)
        self.context_dim = context_dim

        self.scale = dim_head**-0.5
        self.heads = heads
        self.temporal_length = temporal_length
        self.use_relative_position = use_relative_position
        self.img_video_joint_train = img_video_joint_train
        self.bidirectional_causal_attn = bidirectional_causal_attn
        self.joint_train_mode = joint_train_mode
        assert joint_train_mode in ["same_batch", "diff_batch"]
        self.tempoal_attn_type = tempoal_attn_type

        if bidirectional_causal_attn:
            assert use_tempoal_causal_attn
        if tempoal_attn_type:
            assert tempoal_attn_type in ["sparse_causal", "sparse_causal_first"]
            assert not use_tempoal_causal_attn
            assert not (
                img_video_joint_train and (self.joint_train_mode == "same_batch")
            )
        self.to_q = nn.Linear(query_dim, inner_dim, bias=False)
        self.to_k = nn.Linear(context_dim, inner_dim, bias=False)
        self.to_v = nn.Linear(context_dim, inner_dim, bias=False)

        assert not (
            img_video_joint_train
            and (self.joint_train_mode == "same_batch")
            and use_tempoal_causal_attn
        )
        if img_video_joint_train:
            if self.joint_train_mode == "same_batch":
                mask = torch.ones(
                    [1, temporal_length + image_length, temporal_length + image_length]
                )
                mask[:, temporal_length:, :] = 0
                mask[:, :, temporal_length:] = 0
                self.mask = mask
            else:
                self.mask = None
        elif use_tempoal_causal_attn:
            # normal causal attn
            self.mask = torch.tril(torch.ones([1, temporal_length, temporal_length]))
        elif tempoal_attn_type == "sparse_causal":
            # true indicates keeping
            mask1 = torch.tril(torch.ones([1, temporal_length, temporal_length])).bool()
            # initialize to same shape with mask1
            mask2 = torch.zeros([1, temporal_length, temporal_length])
            mask2[:, 2:temporal_length, : temporal_length - 2] = torch.tril(
                torch.ones([1, temporal_length - 2, temporal_length - 2])
            )
            mask2 = (1 - mask2).bool()  # false indicates masking
            self.mask = mask1 & mask2
        elif tempoal_attn_type == "sparse_causal_first":
            # true indicates keeping
            mask1 = torch.tril(torch.ones([1, temporal_length, temporal_length])).bool()
            mask2 = torch.zeros([1, temporal_length, temporal_length])
            mask2[:, 2:temporal_length, 1 : temporal_length - 1] = torch.tril(
                torch.ones([1, temporal_length - 2, temporal_length - 2])
            )
            mask2 = (1 - mask2).bool()  # false indicates masking
            self.mask = mask1 & mask2
        else:
            self.mask = None

        if use_relative_position:
            assert temporal_length is not None
            self.relative_position_k = RelativePosition(
                num_units=dim_head, max_relative_position=temporal_length
            )
            self.relative_position_v = RelativePosition(
                num_units=dim_head, max_relative_position=temporal_length
            )

        self.to_out = nn.Sequential(
            nn.Linear(inner_dim, query_dim), nn.Dropout(dropout)
        )

        nn.init.constant_(self.to_q.weight, 0)
        nn.init.constant_(self.to_k.weight, 0)
        nn.init.constant_(self.to_v.weight, 0)
        nn.init.constant_(self.to_out[0].weight, 0)
        nn.init.constant_(self.to_out[0].bias, 0)

    def forward(self, x, context=None, mask=None):
        nh = self.heads
        out = x
        q = self.to_q(out)
        context = default(context, x)
        k = self.to_k(context)
        v = self.to_v(context)

        q, k, v = map(lambda t: rearrange(t, "b n (h d) -> (b h) n d", h=nh), (q, k, v))
        sim = einsum("b i d, b j d -> b i j", q, k) * self.scale

        if self.use_relative_position:
            len_q, len_k, len_v = q.shape[1], k.shape[1], v.shape[1]
            k2 = self.relative_position_k(len_q, len_k)
            sim2 = einsum("b t d, t s d -> b t s", q, k2) * self.scale
            sim += sim2
        if exists(self.mask):
            if mask is None:
                mask = self.mask.to(sim.device)
            else:
                # .to(sim.device)
                mask = self.mask.to(sim.device).bool() & mask
        else:
            mask = mask
        if mask is not None:
            max_neg_value = -1e9
            sim = sim + (1 - mask.float()) * max_neg_value  # 1=masking,0=no masking

        attn = sim.softmax(dim=-1)

        out = einsum("b i j, b j d -> b i d", attn, v)

        if self.bidirectional_causal_attn:
            mask_reverse = torch.triu(
                torch.ones(
                    [1, self.temporal_length, self.temporal_length], device=sim.device
                )
            )
            sim_reverse = sim.float().masked_fill(mask_reverse == 0, max_neg_value)
            attn_reverse = sim_reverse.softmax(dim=-1)
            out_reverse = einsum("b i j, b j d -> b i d", attn_reverse, v)
            out += out_reverse

        if self.use_relative_position:
            v2 = self.relative_position_v(len_q, len_v)
            out2 = einsum("b t s, t s d -> b t d", attn, v2)
            out += out2
        out = rearrange(out, "(b h) n d -> b n (h d)", h=nh)
        return self.to_out(out)


class CrossAttention(nn.Module):
    def __init__(
        self,
        query_dim,
        context_dim=None,
        heads=8,
        dim_head=64,
        dropout=0.0,
        sa_shared_kv=False,
        shared_type="only_first",
        **kwargs,
    ):
        super().__init__()
        inner_dim = dim_head * heads
        context_dim = default(context_dim, query_dim)
        self.sa_shared_kv = sa_shared_kv
        assert shared_type in [
            "only_first",
            "all_frames",
            "first_and_prev",
            "only_prev",
            "full",
            "causal",
            "full_qkv",
        ]
        self.shared_type = shared_type

        self.scale = dim_head**-0.5
        self.heads = heads
        self.dim_head = dim_head

        self.to_q = nn.Linear(query_dim, inner_dim, bias=False)
        self.to_k = nn.Linear(context_dim, inner_dim, bias=False)
        self.to_v = nn.Linear(context_dim, inner_dim, bias=False)

        self.to_out = nn.Sequential(
            nn.Linear(inner_dim, query_dim), nn.Dropout(dropout)
        )
        if XFORMERS_IS_AVAILBLE:
            self.forward = self.efficient_forward

    def forward(self, x, context=None, mask=None):
        h = self.heads
        b = x.shape[0]

        q = self.to_q(x)
        context = default(context, x)
        k = self.to_k(context)
        v = self.to_v(context)
        if self.sa_shared_kv:
            if self.shared_type == "only_first":
                k, v = map(
                    lambda xx: rearrange(xx[0].unsqueeze(0), "b n c -> (b n) c")
                    .unsqueeze(0)
                    .repeat(b, 1, 1),
                    (k, v),
                )
            else:
                raise NotImplementedError

        q, k, v = map(lambda t: rearrange(t, "b n (h d) -> (b h) n d", h=h), (q, k, v))

        sim = einsum("b i d, b j d -> b i j", q, k) * self.scale

        if exists(mask):
            mask = rearrange(mask, "b ... -> b (...)")
            max_neg_value = -torch.finfo(sim.dtype).max
            mask = repeat(mask, "b j -> (b h) () j", h=h)
            sim.masked_fill_(~mask, max_neg_value)

        # attention, what we cannot get enough of
        attn = sim.softmax(dim=-1)

        out = einsum("b i j, b j d -> b i d", attn, v)
        out = rearrange(out, "(b h) n d -> b n (h d)", h=h)
        return self.to_out(out)

    def efficient_forward(self, x, context=None, mask=None):
        q = self.to_q(x)
        context = default(context, x)
        k = self.to_k(context)
        v = self.to_v(context)

        b, _, _ = q.shape
        q, k, v = map(
            lambda t: t.unsqueeze(3)
            .reshape(b, t.shape[1], self.heads, self.dim_head)
            .permute(0, 2, 1, 3)
            .reshape(b * self.heads, t.shape[1], self.dim_head)
            .contiguous(),
            (q, k, v),
        )
        # actually compute the attention, what we cannot get enough of
        out = xformers.ops.memory_efficient_attention(q, k, v, attn_bias=None, op=None)

        if exists(mask):
            raise NotImplementedError
        out = (
            out.unsqueeze(0)
            .reshape(b, self.heads, out.shape[1], self.dim_head)
            .permute(0, 2, 1, 3)
            .reshape(b, out.shape[1], self.heads * self.dim_head)
        )
        return self.to_out(out)


class VideoSpatialCrossAttention(CrossAttention):
    def __init__(self, query_dim, context_dim=None, heads=8, dim_head=64, dropout=0):
        super().__init__(query_dim, context_dim, heads, dim_head, dropout)

    def forward(self, x, context=None, mask=None):
        b, c, t, h, w = x.shape
        if context is not None:
            context = context.repeat(t, 1, 1)
        x = super.forward(spatial_attn_reshape(x), context=context) + x
        return spatial_attn_reshape_back(x, b, h)


class BasicTransformerBlockST(nn.Module):
    def __init__(
        self,
        # Spatial Stuff
        dim,
        n_heads,
        d_head,
        dropout=0.0,
        context_dim=None,
        gated_ff=True,
        checkpoint=True,
        # Temporal Stuff
        temporal_length=None,
        image_length=None,
        use_relative_position=True,
        img_video_joint_train=False,
        cross_attn_on_tempoal=False,
        temporal_crossattn_type="selfattn",
        order="stst",
        temporalcrossfirst=False,
        temporal_context_dim=None,
        split_stcontext=False,
        local_spatial_temporal_attn=False,
        window_size=2,
        **kwargs,
    ):
        super().__init__()
        # Self attention
        self.attn1 = CrossAttention(
            query_dim=dim,
            heads=n_heads,
            dim_head=d_head,
            dropout=dropout,
            **kwargs,
        )
        self.ff = FeedForward(dim, dropout=dropout, glu=gated_ff)
        # cross attention if context is not None
        self.attn2 = CrossAttention(
            query_dim=dim,
            context_dim=context_dim,
            heads=n_heads,
            dim_head=d_head,
            dropout=dropout,
            **kwargs,
        )
        self.norm1 = nn.LayerNorm(dim)
        self.norm2 = nn.LayerNorm(dim)
        self.norm3 = nn.LayerNorm(dim)
        self.checkpoint = checkpoint
        self.order = order
        assert self.order in ["stst", "sstt", "st_parallel"]
        self.temporalcrossfirst = temporalcrossfirst
        self.split_stcontext = split_stcontext
        self.local_spatial_temporal_attn = local_spatial_temporal_attn
        if self.local_spatial_temporal_attn:
            assert self.order == "stst"
            assert self.order == "stst"
            self.window_size = window_size
        if not split_stcontext:
            temporal_context_dim = context_dim
        # Temporal attention
        assert temporal_crossattn_type in ["selfattn", "crossattn", "skip"]
        self.temporal_crossattn_type = temporal_crossattn_type
        self.attn1_tmp = TemporalCrossAttention(
            query_dim=dim,
            heads=n_heads,
            dim_head=d_head,
            dropout=dropout,
            temporal_length=temporal_length,
            image_length=image_length,
            use_relative_position=use_relative_position,
            img_video_joint_train=img_video_joint_train,
            **kwargs,
        )
        self.attn2_tmp = TemporalCrossAttention(
            query_dim=dim,
            heads=n_heads,
            dim_head=d_head,
            dropout=dropout,
            # cross attn
            context_dim=(
                temporal_context_dim if temporal_crossattn_type == "crossattn" else None
            ),
            # temporal attn
            temporal_length=temporal_length,
            image_length=image_length,
            use_relative_position=use_relative_position,
            img_video_joint_train=img_video_joint_train,
            **kwargs,
        )
        self.norm4 = nn.LayerNorm(dim)
        self.norm5 = nn.LayerNorm(dim)

    def forward(
        self,
        x,
        context=None,
        temporal_context=None,
        no_temporal_attn=None,
        attn_mask=None,
        **kwargs,
    ):
        if not self.split_stcontext:
            # st cross attention use the same context vector
            temporal_context = context.detach().clone()

        if context is None and temporal_context is None:
            # self-attention models
            if no_temporal_attn:
                raise NotImplementedError
            return gradient_checkpoint(
                self._forward_nocontext, (x), self.parameters(), self.checkpoint
            )
        else:
            # cross-attention models
            if no_temporal_attn:
                forward_func = self._forward_no_temporal_attn
            else:
                forward_func = self._forward
            inputs = (
                (x, context, temporal_context)
                if temporal_context is not None
                else (x, context)
            )
            return gradient_checkpoint(
                forward_func, inputs, self.parameters(), self.checkpoint
            )

    def _forward(
        self,
        x,
        context=None,
        temporal_context=None,
        mask=None,
        no_temporal_attn=None,
    ):
        assert x.dim() == 5, f"x shape = {x.shape}"
        b, c, t, h, w = x.shape

        if self.order in ["stst", "sstt"]:
            x = self._st_cross_attn(
                x,
                context,
                temporal_context=temporal_context,
                order=self.order,
                mask=mask,
            )  # no_temporal_attn=no_temporal_attn,
        elif self.order == "st_parallel":
            x = self._st_cross_attn_parallel(
                x,
                context,
                temporal_context=temporal_context,
                order=self.order,
            )  # no_temporal_attn=no_temporal_attn,
        else:
            raise NotImplementedError

        x = self.ff(self.norm3(x)) + x
        if (no_temporal_attn is None) or (not no_temporal_attn):
            x = rearrange(x, "(b h w) t c -> b c t h w", b=b, h=h, w=w)  # 3d -> 5d
        elif no_temporal_attn:
            x = rearrange(x, "(b t) (h w) c -> b c t h w", b=b, h=h, w=w)  # 3d -> 5d
        return x

    def _forward_no_temporal_attn(
        self,
        x,
        context=None,
        temporal_context=None,
    ):
        assert x.dim() == 5, f"x shape = {x.shape}"
        b, c, t, h, w = x.shape

        if self.order in ["stst", "sstt"]:
            mask = torch.zeros([1, t, t], device=x.device).bool()
            x = self._st_cross_attn(
                x,
                context,
                temporal_context=temporal_context,
                order=self.order,
                mask=mask,
            )
        elif self.order == "st_parallel":
            x = self._st_cross_attn_parallel(
                x,
                context,
                temporal_context=temporal_context,
                order=self.order,
                no_temporal_attn=True,
            )
        else:
            raise NotImplementedError

        x = self.ff(self.norm3(x)) + x
        x = rearrange(x, "(b h w) t c -> b c t h w", b=b, h=h, w=w)  # 3d -> 5d
        return x

    def _forward_nocontext(self, x, no_temporal_attn=None):
        assert x.dim() == 5, f"x shape = {x.shape}"
        b, c, t, h, w = x.shape

        if self.order in ["stst", "sstt"]:
            x = self._st_cross_attn(
                x, order=self.order, no_temporal_attn=no_temporal_attn
            )
        elif self.order == "st_parallel":
            x = self._st_cross_attn_parallel(
                x, order=self.order, no_temporal_attn=no_temporal_attn
            )
        else:
            raise NotImplementedError

        x = self.ff(self.norm3(x)) + x
        x = rearrange(x, "(b h w) t c -> b c t h w", b=b, h=h, w=w)  # 3d -> 5d

        return x

    def _st_cross_attn(
        self, x, context=None, temporal_context=None, order="stst", mask=None
    ):
        b, c, t, h, w = x.shape
        if order == "stst":
            x = rearrange(x, "b c t h w -> (b t) (h w) c")
            x = self.attn1(self.norm1(x)) + x
            x = rearrange(x, "(b t) (h w) c -> b c t h w", b=b, h=h)
            if self.local_spatial_temporal_attn:
                x = local_spatial_temporal_attn_reshape(x, window_size=self.window_size)
            else:
                x = rearrange(x, "b c t h w -> (b h w) t c")
            x = self.attn1_tmp(self.norm4(x), mask=mask) + x

            if self.local_spatial_temporal_attn:
                x = local_spatial_temporal_attn_reshape_back(
                    x, window_size=self.window_size, b=b, h=h, w=w, t=t
                )
            else:
                x = rearrange(x, "(b h w) t c -> b c t h w", b=b, h=h, w=w)  # 3d -> 5d

            # spatial cross attention
            x = rearrange(x, "b c t h w -> (b t) (h w) c")
            if context is not None:
                if context.shape[0] == t:  # img captions no_temporal_attn or
                    context_ = context
                else:
                    context_ = []
                    for i in range(context.shape[0]):
                        context_.append(context[i].unsqueeze(0).repeat(t, 1, 1))
                    context_ = torch.cat(context_, dim=0)
            else:
                context_ = None
            x = self.attn2(self.norm2(x), context=context_) + x

            # temporal cross attention
            # if (no_temporal_attn is None) or (not no_temporal_attn):
            x = rearrange(x, "(b t) (h w) c -> b c t h w", b=b, h=h)
            x = rearrange(x, "b c t h w -> (b h w) t c")
            if self.temporal_crossattn_type == "crossattn":
                # tmporal cross attention
                if temporal_context is not None:
                    # print(f'STATTN context={context.shape}, temporal_context={temporal_context.shape}')
                    temporal_context = torch.cat(
                        [context, temporal_context], dim=1
                    )  # blc
                    # print(f'STATTN after concat temporal_context={temporal_context.shape}')
                    temporal_context = temporal_context.repeat(h * w, 1, 1)
                    # print(f'after repeat temporal_context={temporal_context.shape}')
                else:
                    temporal_context = context[0:1, ...].repeat(h * w, 1, 1)
                # print(f'STATTN after concat x={x.shape}')
                x = (
                    self.attn2_tmp(self.norm5(x), context=temporal_context, mask=mask)
                    + x
                )
            elif self.temporal_crossattn_type == "selfattn":
                # temporal self attention
                x = self.attn2_tmp(self.norm5(x), context=None, mask=mask) + x
            elif self.temporal_crossattn_type == "skip":
                # no temporal cross and self attention
                pass
            else:
                raise NotImplementedError

        elif order == "sstt":
            # spatial self attention
            x = rearrange(x, "b c t h w -> (b t) (h w) c")
            x = self.attn1(self.norm1(x)) + x

            # spatial cross attention
            context_ = context.repeat(t, 1, 1) if context is not None else None
            x = self.attn2(self.norm2(x), context=context_) + x
            x = rearrange(x, "(b t) (h w) c -> b c t h w", b=b, h=h)

            if (no_temporal_attn is None) or (not no_temporal_attn):
                if self.temporalcrossfirst:
                    # temporal cross attention
                    if self.temporal_crossattn_type == "crossattn":
                        # if temporal_context is not None:
                        temporal_context = context.repeat(h * w, 1, 1)
                        x = (
                            self.attn2_tmp(
                                self.norm5(x), context=temporal_context, mask=mask
                            )
                            + x
                        )
                    elif self.temporal_crossattn_type == "selfattn":
                        x = self.attn2_tmp(self.norm5(x), context=None, mask=mask) + x
                    elif self.temporal_crossattn_type == "skip":
                        pass
                    else:
                        raise NotImplementedError
                    # temporal self attention
                    x = rearrange(x, "b c t h w -> (b h w) t c")
                    x = self.attn1_tmp(self.norm4(x), mask=mask) + x
                else:
                    # temporal self attention
                    x = rearrange(x, "b c t h w -> (b h w) t c")
                    x = self.attn1_tmp(self.norm4(x), mask=mask) + x
                    # temporal cross attention
                    if self.temporal_crossattn_type == "crossattn":
                        if temporal_context is not None:
                            temporal_context = context.repeat(h * w, 1, 1)
                        x = (
                            self.attn2_tmp(
                                self.norm5(x), context=temporal_context, mask=mask
                            )
                            + x
                        )
                    elif self.temporal_crossattn_type == "selfattn":
                        x = self.attn2_tmp(self.norm5(x), context=None, mask=mask) + x
                    elif self.temporal_crossattn_type == "skip":
                        pass
                    else:
                        raise NotImplementedError
        else:
            raise NotImplementedError

        return x

    def _st_cross_attn_parallel(
        self, x, context=None, temporal_context=None, order="sst", no_temporal_attn=None
    ):
        """order: x -> Self Attn -> Cross Attn -> attn_s
        x -> Temp Self Attn -> attn_t
        x' = x + attn_s + attn_t
        """
        if no_temporal_attn is not None:
            raise NotImplementedError

        B, C, T, H, W = x.shape
        # spatial self attention
        h = x
        h = rearrange(h, "b c t h w -> (b t) (h w) c")
        h = self.attn1(self.norm1(h)) + h
        # spatial cross
        # context_ = context.repeat(T, 1, 1) if context is not None else None
        if context is not None:
            context_ = []
            for i in range(context.shape[0]):
                context_.append(context[i].unsqueeze(0).repeat(T, 1, 1))
            context_ = torch.cat(context_, dim=0)
        else:
            context_ = None

        h = self.attn2(self.norm2(h), context=context_) + h
        h = rearrange(h, "(b t) (h w) c -> b c t h w", b=B, h=H)

        # temporal self
        h2 = x
        h2 = rearrange(h2, "b c t h w -> (b h w) t c")
        h2 = self.attn1_tmp(self.norm4(h2))  # + h2
        h2 = rearrange(h2, "(b h w) t c -> b c t h w", b=B, h=H, w=W)
        out = h + h2
        return rearrange(out, "b c t h w -> (b h w) t c")


def spatial_attn_reshape(x):
    return rearrange(x, "b c t h w -> (b t) (h w) c")


def spatial_attn_reshape_back(x, b, h):
    return rearrange(x, "(b t) (h w) c -> b c t h w", b=b, h=h)


def temporal_attn_reshape(x):
    return rearrange(x, "b c t h w -> (b h w) t c")


def temporal_attn_reshape_back(x, b, h, w):
    return rearrange(x, "(b h w) t c -> b c t h w", b=b, h=h, w=w)


def local_spatial_temporal_attn_reshape(x, window_size):
    B, C, T, H, W = x.shape
    NH = H // window_size
    NW = W // window_size
    # x = x.view(B, C, T, NH, window_size, NW, window_size)
    # tokens = x.permute(0, 1, 2, 3, 5, 4, 6).contiguous()
    # tokens = tokens.view(-1, window_size, window_size, C)
    x = rearrange(
        x,
        "b c t (nh wh) (nw ww) -> b c t nh wh nw ww",
        nh=NH,
        nw=NW,
        wh=window_size,
        # # B, C, T, NH, NW, window_size, window_size
        ww=window_size,
    ).contiguous()
    # (B, NH, NW) (T, window_size, window_size) C
    x = rearrange(x, "b c t nh wh nw ww -> (b nh nw) (t wh ww) c")
    return x


def local_spatial_temporal_attn_reshape_back(x, window_size, b, h, w, t):
    B, L, C = x.shape
    NH = h // window_size
    NW = w // window_size
    x = rearrange(
        x,
        "(b nh nw) (t wh ww) c -> b c t nh wh nw ww",
        b=b,
        nh=NH,
        nw=NW,
        t=t,
        wh=window_size,
        ww=window_size,
    )
    x = rearrange(x, "b c t nh wh nw ww -> b c t (nh wh) (nw ww)")
    return x


class SpatialTemporalTransformer(nn.Module):
    """
    Transformer block for video-like data (5D tensor).
    First, project the input (aka embedding) with NO reshape.
    Then apply standard transformer action.
    The 5D -> 3D reshape operation will be done in the specific attention module.
    """

    def __init__(
        self,
        in_channels,
        n_heads,
        d_head,
        depth=1,
        dropout=0.0,
        context_dim=None,
        # Temporal stuff
        temporal_length=None,
        image_length=None,
        use_relative_position=True,
        img_video_joint_train=False,
        cross_attn_on_tempoal=False,
        temporal_crossattn_type=False,
        order="stst",
        temporalcrossfirst=False,
        split_stcontext=False,
        temporal_context_dim=None,
        **kwargs,
    ):
        super().__init__()

        self.in_channels = in_channels
        inner_dim = n_heads * d_head

        self.norm = Normalize(in_channels)
        self.proj_in = nn.Conv3d(
            in_channels, inner_dim, kernel_size=1, stride=1, padding=0
        )

        self.transformer_blocks = nn.ModuleList(
            [
                BasicTransformerBlockST(
                    inner_dim,
                    n_heads,
                    d_head,
                    dropout=dropout,
                    # cross attn
                    context_dim=context_dim,
                    # temporal attn
                    temporal_length=temporal_length,
                    image_length=image_length,
                    use_relative_position=use_relative_position,
                    img_video_joint_train=img_video_joint_train,
                    temporal_crossattn_type=temporal_crossattn_type,
                    order=order,
                    temporalcrossfirst=temporalcrossfirst,
                    split_stcontext=split_stcontext,
                    temporal_context_dim=temporal_context_dim,
                    **kwargs,
                )
                for d in range(depth)
            ]
        )

        self.proj_out = zero_module(
            nn.Conv3d(inner_dim, in_channels, kernel_size=1, stride=1, padding=0)
        )

    def forward(self, x, context=None, temporal_context=None, **kwargs):
        # note: if no context is given, cross-attention defaults to self-attention
        assert x.dim() == 5, f"x shape = {x.shape}"
        b, c, t, h, w = x.shape
        x_in = x

        x = self.norm(x)
        x = self.proj_in(x)

        for block in self.transformer_blocks:
            x = block(x, context=context, temporal_context=temporal_context, **kwargs)

        x = self.proj_out(x)
        return x + x_in


class STAttentionBlock2(nn.Module):
    def __init__(
        self,
        channels,
        num_heads=1,
        num_head_channels=-1,
        use_checkpoint=False,  # not used, only used in ResBlock
        use_new_attention_order=False,  # QKVAttention or QKVAttentionLegacy
        temporal_length=16,  # used in relative positional representation.
        image_length=8,  # used for image-video joint training.
        # whether use relative positional representation in temporal attention.
        use_relative_position=False,
        img_video_joint_train=False,
        # norm_type="groupnorm",
        attn_norm_type="group",
        use_tempoal_causal_attn=False,
    ):
        """
        version 1: guided_diffusion implemented version
        version 2: remove args input argument
        """
        super().__init__()

        if num_head_channels == -1:
            self.num_heads = num_heads
        else:
            assert (
                channels % num_head_channels == 0
            ), f"q,k,v channels {channels} is not divisible by num_head_channels {num_head_channels}"
            self.num_heads = channels // num_head_channels
        self.use_checkpoint = use_checkpoint

        self.temporal_length = temporal_length
        self.image_length = image_length
        self.use_relative_position = use_relative_position
        self.img_video_joint_train = img_video_joint_train
        self.attn_norm_type = attn_norm_type
        assert self.attn_norm_type in ["group", "no_norm"]
        self.use_tempoal_causal_attn = use_tempoal_causal_attn

        if self.attn_norm_type == "group":
            self.norm_s = normalization(channels)
            self.norm_t = normalization(channels)

        self.qkv_s = conv_nd(1, channels, channels * 3, 1)
        self.qkv_t = conv_nd(1, channels, channels * 3, 1)

        if self.img_video_joint_train:
            mask = th.ones(
                [1, temporal_length + image_length, temporal_length + image_length]
            )
            mask[:, temporal_length:, :] = 0
            mask[:, :, temporal_length:] = 0
            self.register_buffer("mask", mask)
        else:
            self.mask = None

        if use_new_attention_order:
            # split qkv before split heads
            self.attention_s = QKVAttention(self.num_heads)
            self.attention_t = QKVAttention(self.num_heads)
        else:
            # split heads before split qkv
            self.attention_s = QKVAttentionLegacy(self.num_heads)
            self.attention_t = QKVAttentionLegacy(self.num_heads)

        if use_relative_position:
            self.relative_position_k = RelativePosition(
                num_units=channels // self.num_heads,
                max_relative_position=temporal_length,
            )
            self.relative_position_v = RelativePosition(
                num_units=channels // self.num_heads,
                max_relative_position=temporal_length,
            )

        self.proj_out_s = zero_module(
            # conv_dim, in_channels, out_channels, kernel_size
            conv_nd(1, channels, channels, 1)
        )
        self.proj_out_t = zero_module(
            # conv_dim, in_channels, out_channels, kernel_size
            conv_nd(1, channels, channels, 1)
        )

    def forward(self, x, mask=None):
        b, c, t, h, w = x.shape

        # spatial
        out = rearrange(x, "b c t h w -> (b t) c (h w)")
        if self.attn_norm_type == "no_norm":
            qkv = self.qkv_s(out)
        else:
            qkv = self.qkv_s(self.norm_s(out))
        out = self.attention_s(qkv)
        out = self.proj_out_s(out)
        out = rearrange(out, "(b t) c (h w) -> b c t h w", b=b, h=h)
        x += out

        # temporal
        out = rearrange(x, "b c t h w -> (b h w) c t")
        if self.attn_norm_type == "no_norm":
            qkv = self.qkv_t(out)
        else:
            qkv = self.qkv_t(self.norm_t(out))

        # relative positional embedding
        if self.use_relative_position:
            len_q = qkv.size()[-1]
            len_k, len_v = len_q, len_q
            k_rp = self.relative_position_k(len_q, len_k)
            v_rp = self.relative_position_v(len_q, len_v)  # [T,T,head_dim]
            out = self.attention_t(
                qkv,
                rp=(k_rp, v_rp),
                mask=self.mask,
                use_tempoal_causal_attn=self.use_tempoal_causal_attn,
            )
        else:
            out = self.attention_t(
                qkv,
                rp=None,
                mask=self.mask,
                use_tempoal_causal_attn=self.use_tempoal_causal_attn,
            )

        out = self.proj_out_t(out)
        out = rearrange(out, "(b h w) c t -> b c t h w", b=b, h=h, w=w)

        return x + out


class QKVAttentionLegacy(nn.Module):
    """
    A module which performs QKV attention. Matches legacy QKVAttention + input/ouput heads shaping
    """

    def __init__(self, n_heads):
        super().__init__()
        self.n_heads = n_heads

    def forward(self, qkv, rp=None, mask=None):
        """
        Apply QKV attention.

        :param qkv: an [N x (H * 3 * C) x T] tensor of Qs, Ks, and Vs.
        :return: an [N x (H * C) x T] tensor after attention.
        """
        if rp is not None or mask is not None:
            raise NotImplementedError
        bs, width, length = qkv.shape
        assert width % (3 * self.n_heads) == 0
        ch = width // (3 * self.n_heads)
        q, k, v = qkv.reshape(bs * self.n_heads, ch * 3, length).split(ch, dim=1)
        scale = 1 / math.sqrt(math.sqrt(ch))
        weight = th.einsum(
            "bct,bcs->bts", q * scale, k * scale
        )  # More stable with f16 than dividing afterwards
        weight = th.softmax(weight.float(), dim=-1).type(weight.dtype)
        a = th.einsum("bts,bcs->bct", weight, v)
        return a.reshape(bs, -1, length)

    @staticmethod
    def count_flops(model, _x, y):
        return count_flops_attn(model, _x, y)


class QKVAttention(nn.Module):
    """
    A module which performs QKV attention and splits in a different order.
    """

    def __init__(self, n_heads):
        super().__init__()
        self.n_heads = n_heads

    def forward(self, qkv, rp=None, mask=None, use_tempoal_causal_attn=False):
        """
        Apply QKV attention.

        :param qkv: an [N x (3 * H * C) x T] tensor of Qs, Ks, and Vs.
        :return: an [N x (H * C) x T] tensor after attention.
        """
        bs, width, length = qkv.shape
        assert width % (3 * self.n_heads) == 0
        ch = width // (3 * self.n_heads)
        # print('qkv', qkv.size())
        q, k, v = qkv.chunk(3, dim=1)
        scale = 1 / math.sqrt(math.sqrt(ch))
        # print('bs, self.n_heads, ch, length', bs, self.n_heads, ch, length)

        weight = th.einsum(
            "bct,bcs->bts",
            (q * scale).view(bs * self.n_heads, ch, length),
            (k * scale).view(bs * self.n_heads, ch, length),
        )  # More stable with f16 than dividing afterwards
        # weight:[b,t,s] b=bs*n_heads*T

        if rp is not None:
            k_rp, v_rp = rp  # [length, length, head_dim] [8, 8, 48]
            weight2 = th.einsum(
                "bct,tsc->bst", (q * scale).view(bs * self.n_heads, ch, length), k_rp
            )
            weight += weight2

        if use_tempoal_causal_attn:
            # weight = torch.tril(weight)
            assert mask is None, f"Not implemented for merging two masks!"
            mask = torch.tril(torch.ones(weight.shape))
        else:
            if mask is not None:  # only keep upper-left matrix
                # process mask
                c, t, _ = weight.shape

                if mask.shape[-1] > t:
                    mask = mask[:, :t, :t]
                elif mask.shape[-1] < t:  # pad ones
                    mask_ = th.zeros([c, t, t]).to(mask.device)
                    t_ = mask.shape[-1]
                    mask_[:, :t_, :t_] = mask
                    mask = mask_
                else:
                    assert (
                        weight.shape[-1] == mask.shape[-1]
                    ), f"weight={weight.shape}, mask={mask.shape}"

        if mask is not None:
            INF = -1e8  # float('-inf')
            weight = weight.float().masked_fill(mask == 0, INF)

        weight = F.softmax(weight.float(), dim=-1).type(
            weight.dtype
        )  # [256, 8, 8] [b, t, t] b=bs*n_heads*h*w,t=nframes
        # weight = F.softmax(weight, dim=-1)#[256, 8, 8] [b, t, t] b=bs*n_heads*h*w,t=nframes
        # [256, 48, 8] [b, head_dim, t]
        a = th.einsum("bts,bcs->bct", weight, v.reshape(bs * self.n_heads, ch, length))

        if rp is not None:
            a2 = th.einsum("bts,tsc->btc", weight, v_rp).transpose(1, 2)  # btc->bct
            a += a2

        return a.reshape(bs, -1, length)