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# Copyright (c) Meta Platforms, Inc. and affiliates. All Rights Reserved

"""
ViTDet backbone adapted from Detectron2.
This module implements Vision Transformer (ViT) backbone for object detection.

Rope embedding code adopted from:
1. https://github.com/meta-llama/codellama/blob/main/llama/model.py
2. https://github.com/naver-ai/rope-vit
3. https://github.com/lucidrains/rotary-embedding-torch
"""

import math
from functools import partial
from typing import Callable, List, Optional, Tuple, Union

import torch
import torch.nn as nn
import torch.nn.functional as F
import torch.utils.checkpoint as checkpoint

try:
    from timm.layers import DropPath, Mlp, trunc_normal_
except ModuleNotFoundError:
    # compatibility for older timm versions
    from timm.models.layers import DropPath, Mlp, trunc_normal_
from torch import Tensor

from .model_misc import LayerScale


def init_t_xy(
    end_x: int, end_y: int, scale: float = 1.0, offset: int = 0
) -> Tuple[torch.Tensor, torch.Tensor]:
    t = torch.arange(end_x * end_y, dtype=torch.float32)
    t_x = (t % end_x).float()
    t_y = torch.div(t, end_x, rounding_mode="floor").float()
    return t_x * scale + offset, t_y * scale + offset


def compute_axial_cis(
    dim: int,
    end_x: int,
    end_y: int,
    theta: float = 10000.0,
    scale_pos: float = 1.0,
    offset: int = 0,
) -> torch.Tensor:
    freqs_x = 1.0 / (theta ** (torch.arange(0, dim, 4)[: (dim // 4)].float() / dim))
    freqs_y = 1.0 / (theta ** (torch.arange(0, dim, 4)[: (dim // 4)].float() / dim))

    t_x, t_y = init_t_xy(end_x, end_y, scale_pos, offset)
    freqs_x = torch.outer(t_x, freqs_x)
    freqs_y = torch.outer(t_y, freqs_y)
    freqs_cis_x = torch.polar(torch.ones_like(freqs_x), freqs_x)
    freqs_cis_y = torch.polar(torch.ones_like(freqs_y), freqs_y)
    return torch.cat([freqs_cis_x, freqs_cis_y], dim=-1)


def reshape_for_broadcast(freqs_cis: torch.Tensor, x: torch.Tensor) -> torch.Tensor:
    ndim = x.ndim
    assert 0 <= 1 < ndim
    assert freqs_cis.shape == (x.shape[-2], x.shape[-1])
    shape = [d if i >= ndim - 2 else 1 for i, d in enumerate(x.shape)]
    return freqs_cis.view(*shape)


def apply_rotary_enc(
    xq: torch.Tensor,
    xk: torch.Tensor,
    freqs_cis: torch.Tensor,
    repeat_freqs_k: bool = False,
) -> Tuple[torch.Tensor, torch.Tensor]:
    xq_ = torch.view_as_complex(xq.float().reshape(*xq.shape[:-1], -1, 2))
    xk_ = (
        torch.view_as_complex(xk.float().reshape(*xk.shape[:-1], -1, 2))
        if xk.shape[-2] != 0
        else None
    )
    freqs_cis = reshape_for_broadcast(freqs_cis, xq_)
    xq_out = torch.view_as_real(xq_ * freqs_cis).flatten(3)
    if xk_ is None:
        # no keys to rotate, due to dropout
        return xq_out.type_as(xq).to(xq.device), xk
    # repeat freqs along seq_len dim to match k seq_len
    if repeat_freqs_k:
        r = xk_.shape[-2] // xq_.shape[-2]
        freqs_cis = freqs_cis.repeat(*([1] * (freqs_cis.ndim - 2)), r, 1)
    xk_out = torch.view_as_real(xk_ * freqs_cis).flatten(3)
    return xq_out.type_as(xq).to(xq.device), xk_out.type_as(xk).to(xk.device)


def window_partition(x: Tensor, window_size: int) -> Tuple[Tensor, Tuple[int, int]]:
    """
    Partition into non-overlapping windows with padding if needed.
    Args:
        x (tensor): input tokens with [B, H, W, C].
        window_size (int): window size.
    Returns:
        windows: windows after partition with [B * num_windows, window_size, window_size, C].
        (Hp, Wp): padded height and width before partition
    """
    B, H, W, C = x.shape

    pad_h = (window_size - H % window_size) % window_size
    pad_w = (window_size - W % window_size) % window_size
    if pad_h > 0 or pad_w > 0:
        x = F.pad(x, (0, 0, 0, pad_w, 0, pad_h))
    Hp, Wp = H + pad_h, W + pad_w

    x = x.view(B, Hp // window_size, window_size, Wp // window_size, window_size, C)
    windows = x.permute(0, 1, 3, 2, 4, 5).reshape(-1, window_size, window_size, C)
    return windows, (Hp, Wp)


def window_unpartition(
    windows: Tensor, window_size: int, pad_hw: Tuple[int, int], hw: Tuple[int, int]
) -> Tensor:
    """
    Window unpartition into original sequences and removing padding.
    Args:
        x (tensor): input tokens with [B * num_windows, window_size, window_size, C].
        window_size (int): window size.
        pad_hw (Tuple): padded height and width (Hp, Wp).
        hw (Tuple): original height and width (H, W) before padding.
    Returns:
        x: unpartitioned sequences with [B, H, W, C].
    """
    Hp, Wp = pad_hw
    H, W = hw
    B = windows.shape[0] // (Hp * Wp // window_size // window_size)
    x = windows.reshape(
        B, Hp // window_size, Wp // window_size, window_size, window_size, -1
    )
    x = x.permute(0, 1, 3, 2, 4, 5).reshape(B, Hp, Wp, -1)

    if Hp > H or Wp > W:
        x = x[:, :H, :W, :]
    return x


def get_rel_pos(q_size: int, k_size: int, rel_pos: Tensor) -> Tensor:
    """
    Get relative positional embeddings according to the relative positions of
        query and key sizes.
    Args:
        q_size (int): size of query q.
        k_size (int): size of key k.
        rel_pos (Tensor): relative position embeddings (L, C).
    Returns:
        Extracted positional embeddings according to relative positions.
    """
    max_rel_dist = int(2 * max(q_size, k_size) - 1)
    # Interpolate rel pos if needed.
    if rel_pos.shape[0] != max_rel_dist:
        # Interpolate rel pos.
        rel_pos_resized = F.interpolate(
            rel_pos.reshape(1, rel_pos.shape[0], -1).permute(0, 2, 1),
            size=max_rel_dist,
            mode="linear",
            align_corners=False,
        )
        rel_pos_resized = rel_pos_resized.reshape(-1, max_rel_dist).permute(1, 0)
    else:
        rel_pos_resized = rel_pos

    # Scale the coords with short length if shapes for q and k are different.
    q_coords = torch.arange(q_size)[:, None] * max(k_size / q_size, 1.0)
    k_coords = torch.arange(k_size)[None, :] * max(q_size / k_size, 1.0)
    relative_coords = (q_coords - k_coords) + (k_size - 1) * max(q_size / k_size, 1.0)

    return rel_pos_resized[relative_coords.long()]


def get_abs_pos(
    abs_pos: Tensor,
    has_cls_token: bool,
    hw: Tuple[int, int],
    retain_cls_token: bool = False,
    tiling: bool = False,
) -> Tensor:
    """
    Calculate absolute positional embeddings. If needed, resize embeddings and remove cls_token
        dimension for the original embeddings.
    Args:
        abs_pos (Tensor): absolute positional embeddings with (1, num_position, C).
        has_cls_token (bool): If true, has 1 embedding in abs_pos for cls token.
        hw (Tuple): size of input image tokens.
        retain_cls_token: whether to retain the cls_token
        tiling: whether to tile the embeddings, *instead* of interpolation (a la abs_win)
    Returns:
        Absolute positional embeddings after processing with shape (1, H, W, C),
        if retain_cls_token is False, otherwise (1, 1+H*W, C)
    """
    if retain_cls_token:
        assert has_cls_token

    h, w = hw
    if has_cls_token:
        cls_pos = abs_pos[:, :1]
        abs_pos = abs_pos[:, 1:]

    xy_num = abs_pos.shape[1]
    size = int(math.sqrt(xy_num))
    assert size * size == xy_num

    if size != h or size != w:
        new_abs_pos = abs_pos.reshape(1, size, size, -1).permute(0, 3, 1, 2)
        if tiling:
            new_abs_pos = new_abs_pos.tile(
                [1, 1] + [x // y + 1 for x, y in zip((h, w), new_abs_pos.shape[2:])]
            )[:, :, :h, :w]
        else:
            new_abs_pos = F.interpolate(
                new_abs_pos,
                size=(h, w),
                mode="bicubic",
                align_corners=False,
            )

        if not retain_cls_token:
            return new_abs_pos.permute(0, 2, 3, 1)
        else:
            # add cls_token back, flatten spatial dims
            assert has_cls_token
            return torch.cat(
                [cls_pos, new_abs_pos.permute(0, 2, 3, 1).reshape(1, h * w, -1)],
                dim=1,
            )

    else:
        if not retain_cls_token:
            return abs_pos.reshape(1, h, w, -1)
        else:
            assert has_cls_token
            return torch.cat([cls_pos, abs_pos], dim=1)


def concat_rel_pos(
    q: Tensor,
    k: Tensor,
    q_hw: Tuple[int, int],
    k_hw: Tuple[int, int],
    rel_pos_h: Tensor,
    rel_pos_w: Tensor,
    rescale: bool = False,
    relative_coords: Optional[Tensor] = None,
) -> Tuple[Tensor, Tensor]:
    """
    Concatenate rel pos coeffs to the q & k tensors, so that qk^T is now
    effectively including rel pos biases.
    Args:
        q (Tensor): q tensor with shape (B, L_q, C).
        k (Tensor): k tensor with shape (B, L_k, C).
        q_hw, k_hw: These are spatial size of q & k tensors.
        rel_pos_h, rel_pos_w: These are relative pos embeddings/params of height, width.
        rescale (bool): whether to rescale. e.g. for use when using sdpa, pytorch will
            scale by the wrong factor due to the concat.
    Returns:
        q, k: But, padded so that qk^T accounts for rel pos biases
    """
    q_h, q_w = q_hw
    k_h, k_w = k_hw

    assert (q_h == q_w) and (k_h == k_w), "only square inputs supported"

    if relative_coords is not None:
        Rh = rel_pos_h[relative_coords]
        Rw = rel_pos_w[relative_coords]
    else:
        Rh = get_rel_pos(q_h, k_h, rel_pos_h)
        Rw = get_rel_pos(q_w, k_w, rel_pos_w)

    B, _, dim = q.shape
    r_q = q.reshape(B, q_h, q_w, dim)

    old_scale = dim**0.5
    new_scale = (dim + k_h + k_w) ** 0.5 if rescale else old_scale  # for sdpa
    # attn will be divided by new_scale, but we want to divide q by old_scale
    scale_ratio = new_scale / old_scale

    rel_h = torch.einsum("bhwc,hkc->bhwk", r_q, Rh) * new_scale  # (B, q_h, q_w, k_h)
    rel_w = torch.einsum("bhwc,wkc->bhwk", r_q, Rw) * new_scale  # (B, q_h, q_w, k_w)

    eye_h = torch.eye(k_h, dtype=q.dtype, device=q.device)
    eye_w = torch.eye(k_w, dtype=q.dtype, device=q.device)

    eye_h = eye_h.view(1, k_h, 1, k_h).expand([B, k_h, k_w, k_h])
    eye_w = eye_w.view(1, 1, k_w, k_w).expand([B, k_h, k_w, k_w])

    q = torch.cat([r_q * scale_ratio, rel_h, rel_w], dim=-1).view(B, q_h * q_w, -1)
    k = torch.cat([k.view(B, k_h, k_w, -1), eye_h, eye_w], dim=-1).view(
        B, k_h * k_w, -1
    )

    return q, k


class PatchEmbed(nn.Module):
    """
    Image to Patch Embedding.
    """

    def __init__(
        self,
        kernel_size: Tuple[int, int] = (16, 16),
        stride: Tuple[int, int] = (16, 16),
        padding: Tuple[int, int] = (0, 0),
        in_chans: int = 3,
        embed_dim: int = 768,
        bias: bool = True,
    ):
        """
        Args:
            kernel_size (Tuple): kernel size of the projection layer.
            stride (Tuple): stride of the projection layer.
            padding (Tuple): padding size of the projection layer.
            in_chans (int): Number of input image channels.
            embed_dim (int):  embed_dim (int): Patch embedding dimension.
        """
        super().__init__()

        self.proj = nn.Conv2d(
            in_chans,
            embed_dim,
            kernel_size=kernel_size,
            stride=stride,
            padding=padding,
            bias=bias,
        )

    def forward(self, x: Tensor) -> Tensor:
        x = self.proj(x)
        # B C H W -> B H W C
        x = x.permute(0, 2, 3, 1)
        return x


class Attention(nn.Module):
    """Multi-head Attention block with relative position embeddings and 2d-rope."""

    def __init__(
        self,
        dim: int,
        num_heads: int = 8,
        qkv_bias: bool = True,
        use_rel_pos: bool = False,
        rel_pos_zero_init: bool = True,
        input_size: Optional[Tuple[int, int]] = None,
        cls_token: bool = False,
        use_rope: bool = False,
        rope_theta: float = 10000.0,
        rope_pt_size: Optional[Tuple[int, int]] = None,
        rope_interp: bool = False,
    ):
        """
        Args:
            dim (int): Number of input channels.
            num_heads (int): Number of attention heads.
            qkv_bias (bool:  If True, add a learnable bias to query, key, value.
            rel_pos (bool): If True, add relative positional embeddings to the attention map.
            rel_pos_zero_init (bool): If True, zero initialize relative positional parameters.
            input_size (int or None): Input resolution for calculating the relative positional
                parameter size or rope size.
            attn_type: Type of attention operation, e.g. "vanilla", "vanilla-xformer".
            cls_token: whether a cls_token is present.
            use_rope: whether to use rope 2d (indep of use_rel_pos, as it can be used together)
            rope_theta: control frequencies of rope
            rope_pt_size: size of rope in previous stage of training, needed for interpolation or tiling
            rope_interp: whether to interpolate (or extrapolate) rope to match input size
        """
        super().__init__()
        self.num_heads = num_heads
        self.head_dim = dim // num_heads
        self.scale = self.head_dim**-0.5
        self.cls_token = cls_token

        self.qkv = nn.Linear(dim, dim * 3, bias=qkv_bias)
        self.proj = nn.Linear(dim, dim)

        # rel_pos embeddings and rope
        self.use_rel_pos = use_rel_pos
        self.input_size = input_size

        self.use_rope = use_rope
        self.rope_theta = rope_theta
        self.rope_pt_size = rope_pt_size
        self.rope_interp = rope_interp

        # init rel_pos embeddings and rope
        self._setup_rel_pos(rel_pos_zero_init)
        self._setup_rope_freqs()

    def _setup_rel_pos(self, rel_pos_zero_init: bool = True) -> None:
        if not self.use_rel_pos:
            self.rel_pos_h = None
            self.rel_pos_w = None
            return

        assert self.input_size is not None
        assert self.cls_token is False, "not supported"
        # initialize relative positional embeddings
        self.rel_pos_h = nn.Parameter(
            torch.zeros(2 * self.input_size[0] - 1, self.head_dim)
        )
        self.rel_pos_w = nn.Parameter(
            torch.zeros(2 * self.input_size[1] - 1, self.head_dim)
        )

        if not rel_pos_zero_init:
            trunc_normal_(self.rel_pos_h, std=0.02)
            trunc_normal_(self.rel_pos_w, std=0.02)

        # Precompute the relative coords
        H, W = self.input_size
        q_coords = torch.arange(H)[:, None]
        k_coords = torch.arange(W)[None, :]
        relative_coords = (q_coords - k_coords) + (H - 1)
        self.register_buffer("relative_coords", relative_coords.long())

    def _setup_rope_freqs(self) -> None:
        if not self.use_rope:
            self.freqs_cis = None
            return

        assert self.input_size is not None
        # determine rope input size
        if self.rope_pt_size is None:
            self.rope_pt_size = self.input_size

        # initialize 2d rope freqs
        self.compute_cis = partial(
            compute_axial_cis,
            dim=self.head_dim,
            theta=self.rope_theta,
        )

        # interpolate rope
        scale_pos = 1.0
        if self.rope_interp:
            scale_pos = self.rope_pt_size[0] / self.input_size[0]
        # get scaled freqs_cis
        freqs_cis = self.compute_cis(
            end_x=self.input_size[0],
            end_y=self.input_size[1],
            scale_pos=scale_pos,
        )
        if self.cls_token:
            t = torch.zeros(
                self.head_dim // 2,
                dtype=torch.float32,
                device=freqs_cis.device,
            )
            cls_freqs_cis = torch.polar(torch.ones_like(t), t)[None, :]
            freqs_cis = torch.cat([cls_freqs_cis, freqs_cis], dim=0)

        self.register_buffer("freqs_cis", freqs_cis)

    def _apply_rope(self, q, k) -> Tuple[Tensor, Tensor]:
        if not self.use_rope:
            return q, k

        assert self.freqs_cis is not None
        return apply_rotary_enc(q, k, freqs_cis=self.freqs_cis)

    def forward(self, x: Tensor) -> Tensor:
        s = 1 if self.cls_token else 0  # used to exclude cls_token
        if x.ndim == 4:
            B, H, W, _ = x.shape
            assert s == 0  # no cls_token
            L = H * W
            ndim = 4
        else:
            assert x.ndim == 3
            B, L, _ = x.shape
            ndim = 3
            H = W = math.sqrt(L - s)

        # qkv with shape (3, B, nHead, L, C)
        qkv = self.qkv(x).reshape(B, L, 3, self.num_heads, -1)
        # q, k, v with shape (B, nHead, L, C)
        q, k, v = qkv.permute(2, 0, 3, 1, 4).unbind(0)

        # handle rope and rel pos embeddings
        q, k = self._apply_rope(q, k)
        if self.use_rel_pos:
            q, k = concat_rel_pos(
                q.flatten(0, 1),
                k.flatten(0, 1),
                (H, W),
                x.shape[1:3],
                self.rel_pos_h,
                self.rel_pos_w,
                rescale=True,
                relative_coords=self.relative_coords,
            )

            # sdpa expects [B, nheads, H*W, C] so we transpose back
            q = q.reshape(B, self.num_heads, H * W, -1)
            k = k.reshape(B, self.num_heads, H * W, -1)

        x = F.scaled_dot_product_attention(q, k, v)

        if ndim == 4:
            x = (
                x.view(B, self.num_heads, H, W, -1)
                .permute(0, 2, 3, 1, 4)
                .reshape(B, H, W, -1)
            )
        else:
            x = x.view(B, self.num_heads, L, -1).permute(0, 2, 1, 3).reshape(B, L, -1)

        x = self.proj(x)

        return x


class Block(nn.Module):
    """Transformer blocks with support of window attention"""

    def __init__(
        self,
        dim: int,
        num_heads: int,
        mlp_ratio: float = 4.0,
        qkv_bias: bool = True,
        drop_path: float = 0.0,
        norm_layer: Callable[..., nn.Module] = nn.LayerNorm,
        act_layer: Callable[..., nn.Module] = nn.GELU,
        use_rel_pos: bool = False,
        rel_pos_zero_init: bool = True,
        window_size: int = 0,
        input_size: Optional[Tuple[int, int]] = None,
        use_rope: bool = False,
        rope_pt_size: Optional[Tuple[int, int]] = None,
        rope_tiled: bool = False,
        rope_interp: bool = False,
        use_ve_rope: bool = False,
        cls_token: bool = False,
        dropout: float = 0.0,
        init_values: Optional[float] = None,
    ):
        """
        Args:
            dim (int): Number of input channels.
            num_heads (int): Number of attention heads in each ViT block.
            mlp_ratio (float): Ratio of mlp hidden dim to embedding dim.
            qkv_bias (bool): If True, add a learnable bias to query, key, value.
            drop_path (float): Stochastic depth rate.
            norm_layer (nn.Module): Normalization layer.
            act_layer (nn.Module): Activation layer.
            use_rel_pos (bool): If True, add relative positional embeddings to the attention map.
            rel_pos_zero_init (bool): If True, zero initialize relative positional parameters.
            window_size (int): Window size for window attention blocks. If it equals 0, then not
                use window attention.
            input_size (int or None): Input resolution for calculating the relative positional
                parameter size.
            dropout (float): Dropout rate.
            cls_token: whether a cls_token is present.
            use_rope: whether to use rope 2d (indep of use_rel_pos, as it can be used together)
            rope_pt_size: size of rope in previous stage of training, needed for interpolation or tiling
            rope_interp: whether to interpolate (or extrapolate) rope to match target input size,
                expected to specify source size as rope_pt_size.
        """
        super().__init__()
        self.norm1 = norm_layer(dim)
        self.attn = Attention(
            dim,
            num_heads=num_heads,
            qkv_bias=qkv_bias,
            use_rel_pos=use_rel_pos,
            rel_pos_zero_init=rel_pos_zero_init,
            input_size=input_size if window_size == 0 else (window_size, window_size),
            use_rope=use_rope,
            rope_pt_size=rope_pt_size,
            rope_interp=rope_interp,
            cls_token=cls_token,
        )
        self.ls1 = (
            LayerScale(dim, init_values=init_values) if init_values else nn.Identity()
        )
        self.drop_path = DropPath(drop_path) if drop_path > 0.0 else nn.Identity()

        self.norm2 = norm_layer(dim)
        self.mlp = Mlp(
            in_features=dim,
            hidden_features=int(dim * mlp_ratio),
            act_layer=act_layer,
            drop=(dropout, 0.0),
        )
        self.ls2 = (
            LayerScale(dim, init_values=init_values) if init_values else nn.Identity()
        )
        self.dropout = nn.Dropout(dropout)
        self.window_size = window_size

    def forward(self, x: Tensor) -> Tensor:
        shortcut = x
        x = self.norm1(x)
        # Window partition
        if self.window_size > 0:
            H, W = x.shape[1], x.shape[2]
            x, pad_hw = window_partition(x, self.window_size)

        x = self.ls1(self.attn(x))
        # Reverse window partition
        if self.window_size > 0:
            x = window_unpartition(x, self.window_size, pad_hw, (H, W))

        x = shortcut + self.dropout(self.drop_path(x))
        x = x + self.dropout(self.drop_path(self.ls2(self.mlp(self.norm2(x)))))

        return x


class ViT(nn.Module):
    """
    This module implements Vision Transformer (ViT) backbone in :paper:`vitdet`.
    "Exploring Plain Vision Transformer Backbones for Object Detection",
    https://arxiv.org/abs/2203.16527
    """

    def __init__(
        self,
        img_size: int = 1024,
        patch_size: int = 16,
        in_chans: int = 3,
        embed_dim: int = 768,
        depth: int = 12,
        num_heads: int = 12,
        mlp_ratio: float = 4.0,
        qkv_bias: bool = True,
        drop_path_rate: float = 0.0,
        norm_layer: Union[Callable[..., nn.Module], str] = "LayerNorm",
        act_layer: Callable[..., nn.Module] = nn.GELU,
        use_abs_pos: bool = True,
        tile_abs_pos: bool = True,
        rel_pos_blocks: Union[Tuple[int, ...], bool] = (2, 5, 8, 11),
        rel_pos_zero_init: bool = True,
        window_size: int = 14,
        global_att_blocks: Tuple[int, ...] = (2, 5, 8, 11),
        use_rope: bool = False,
        rope_pt_size: Optional[int] = None,
        use_interp_rope: bool = False,
        pretrain_img_size: int = 224,
        pretrain_use_cls_token: bool = True,
        retain_cls_token: bool = True,
        dropout: float = 0.0,
        return_interm_layers: bool = False,
        init_values: Optional[float] = None,  # for layerscale
        ln_pre: bool = False,
        ln_post: bool = False,
        bias_patch_embed: bool = True,
        compile_mode: Optional[str] = None,
        use_act_checkpoint: bool = True,
    ):
        """
        Args:
            img_size (int): Input image size. Only relevant for rel pos or rope.
            patch_size (int): Patch size.
            in_chans (int): Number of input image channels.
            embed_dim (int): Patch embedding dimension.
            depth (int): Depth of ViT.
            num_heads (int): Number of attention heads in each ViT block.
            mlp_ratio (float): Ratio of mlp hidden dim to embedding dim.
            qkv_bias (bool): If True, add a learnable bias to query, key, value.
            drop_path_rate (float): Stochastic depth rate.
            norm_layer (nn.Module): Normalization layer.
            act_layer (nn.Module): Activation layer.
            use_abs_pos (bool): If True, use absolute positional embeddings.
            tile_abs_pos (bool): If True, tile absolute positional embeddings instead of interpolation.
            rel_pos_blocks (list): Blocks which have rel pos embeddings.
            rel_pos_zero_init (bool): If True, zero initialize relative positional parameters.
            window_size (int): Window size for window attention blocks.
            global_att_blocks (list): Indexes for blocks using global attention (other blocks use window attention).
            use_rope (bool): whether to use rope 2d (indep of rel_pos_blocks, as it can be used together).
            rope_pt_size (int): size of rope in previous stage of training, needed for interpolation or tiling.
            use_interp_rope: whether to interpolate (or extrapolate) rope to match target input size,
                expected to specify source size as rope_pt_size.
            use_act_checkpoint (bool): If True, use activation checkpointing.
            pretrain_img_size (int): input image size for pretraining models.
            pretrain_use_cls_token (bool): If True, pretraining models use class token.
            retain_cls_token: whether cls_token should be retained.
            dropout (float): Dropout rate. Applied in residual blocks of attn, mlp and inside the mlp.

            return_interm_layers (bool): Whether to return intermediate layers (all global attention blocks).
            init_values: layer scale init, None for no layer scale.

            ln_pre (bool): If True, apply layer norm before transformer blocks.
            ln_post (bool): If True, apply layer norm after transformer blocks.
            bias_patch_embed (bool): bias in conv for patch embed?
            compile_mode (str): mode to compile the forward
        """
        super().__init__()
        self.pretrain_use_cls_token = pretrain_use_cls_token

        window_block_indexes = [i for i in range(depth) if i not in global_att_blocks]
        self.full_attn_ids = list(global_att_blocks)
        self.rel_pos_blocks = [False] * depth
        if isinstance(rel_pos_blocks, bool) and rel_pos_blocks:
            self.rel_pos_blocks = [True] * depth
        else:
            for i in rel_pos_blocks:
                self.rel_pos_blocks[i] = True

        self.retain_cls_token = retain_cls_token
        if self.retain_cls_token:
            assert pretrain_use_cls_token
            assert (
                len(window_block_indexes) == 0
            ), "windowing not supported with cls token"

            assert sum(self.rel_pos_blocks) == 0, "rel pos not supported with cls token"

            scale = embed_dim**-0.5
            self.class_embedding = nn.Parameter(scale * torch.randn(1, 1, embed_dim))

        if isinstance(norm_layer, str):
            norm_layer = partial(getattr(nn, norm_layer), eps=1e-5)

        self.patch_embed = PatchEmbed(
            kernel_size=(patch_size, patch_size),
            stride=(patch_size, patch_size),
            in_chans=in_chans,
            embed_dim=embed_dim,
            bias=bias_patch_embed,
        )

        # Handle absolute positional embedding
        self.tile_abs_pos = tile_abs_pos
        self.use_abs_pos = use_abs_pos
        if self.tile_abs_pos:
            assert self.use_abs_pos

        if self.use_abs_pos:
            # Initialize absolute positional embedding with pretrain image size.
            num_patches = (pretrain_img_size // patch_size) * (
                pretrain_img_size // patch_size
            )
            num_positions = (num_patches + 1) if pretrain_use_cls_token else num_patches
            self.pos_embed = nn.Parameter(torch.zeros(1, num_positions, embed_dim))
        else:
            self.pos_embed = None

        # stochastic depth decay rule
        dpr = [x.item() for x in torch.linspace(0, drop_path_rate, depth)]

        self.blocks = nn.ModuleList()
        cur_stage = 1
        for i in range(depth):
            block = Block(
                dim=embed_dim,
                num_heads=num_heads,
                mlp_ratio=mlp_ratio,
                qkv_bias=qkv_bias,
                drop_path=dpr[i],
                norm_layer=norm_layer,
                act_layer=act_layer,
                use_rel_pos=self.rel_pos_blocks[i],
                rel_pos_zero_init=rel_pos_zero_init,
                window_size=window_size if i in window_block_indexes else 0,
                input_size=(img_size // patch_size, img_size // patch_size),
                use_rope=use_rope,
                rope_pt_size=(
                    (window_size, window_size)
                    if rope_pt_size is None
                    else (rope_pt_size, rope_pt_size)
                ),
                rope_interp=use_interp_rope,
                cls_token=self.retain_cls_token,
                dropout=dropout,
                init_values=init_values,
            )

            if i not in window_block_indexes:
                cur_stage += 1

            self.use_act_checkpoint = use_act_checkpoint

            self.blocks.append(block)

        self.return_interm_layers = return_interm_layers
        self.channel_list = (
            [embed_dim] * len(self.full_attn_ids)
            if return_interm_layers
            else [embed_dim]
        )

        if self.pos_embed is not None:
            trunc_normal_(self.pos_embed, std=0.02)

        self.ln_pre = norm_layer(embed_dim) if ln_pre else nn.Identity()
        self.ln_post = norm_layer(embed_dim) if ln_post else nn.Identity()

        self.apply(self._init_weights)

        if compile_mode is not None:
            self.forward = torch.compile(
                self.forward, mode=compile_mode, fullgraph=True
            )
            if self.use_act_checkpoint and self.training:
                torch._dynamo.config.optimize_ddp = False

    def _init_weights(self, m: nn.Module) -> None:
        if isinstance(m, nn.Linear):
            trunc_normal_(m.weight, std=0.02)
            if isinstance(m, nn.Linear) and m.bias is not None:
                nn.init.constant_(m.bias, 0)
        elif isinstance(m, nn.LayerNorm):
            nn.init.constant_(m.bias, 0)
            nn.init.constant_(m.weight, 1.0)

    def forward(self, x: torch.Tensor) -> List[torch.Tensor]:
        x = self.patch_embed(x)
        h, w = x.shape[1], x.shape[2]

        s = 0
        if self.retain_cls_token:
            # If cls_token is retained, we don't
            # maintain spatial shape
            x = torch.cat([self.class_embedding, x.flatten(1, 2)], dim=1)
            s = 1

        if self.pos_embed is not None:
            x = x + get_abs_pos(
                self.pos_embed,
                self.pretrain_use_cls_token,
                (h, w),
                self.retain_cls_token,
                tiling=self.tile_abs_pos,
            )

        x = self.ln_pre(x)

        outputs = []
        for i, blk in enumerate(self.blocks):
            if self.use_act_checkpoint and self.training:
                x = checkpoint.checkpoint(blk, x, use_reentrant=False)
            else:
                x = blk(x)
            if (i == self.full_attn_ids[-1]) or (
                self.return_interm_layers and i in self.full_attn_ids
            ):
                if i == self.full_attn_ids[-1]:
                    x = self.ln_post(x)

                feats = x[:, s:]
                if feats.ndim == 4:
                    feats = feats.permute(0, 3, 1, 2)
                else:
                    assert feats.ndim == 3
                    h = w = math.sqrt(feats.shape[1])
                    feats = feats.reshape(
                        feats.shape[0], h, w, feats.shape[-1]
                    ).permute(0, 3, 1, 2)

                outputs.append(feats)

        return outputs

    def get_layer_id(self, layer_name: str) -> int:
        # https://github.com/microsoft/unilm/blob/master/beit/optim_factory.py#L33
        num_layers = self.get_num_layers()

        if layer_name.find("rel_pos") != -1:
            return num_layers + 1
        elif layer_name.find("ln_pre") != -1:
            return 0
        elif layer_name.find("pos_embed") != -1 or layer_name.find("cls_token") != -1:
            return 0
        elif layer_name.find("patch_embed") != -1:
            return 0
        elif layer_name.find("blocks") != -1:
            return int(layer_name.split("blocks")[1].split(".")[1]) + 1
        else:
            return num_layers + 1

    def get_num_layers(self) -> int:
        return len(self.blocks)