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import math
from typing import Optional, Tuple

import torch
import torch.utils.checkpoint
from torch import nn

from transformers.activations import ACT2FN
from transformers.utils import logging
from transformers import LlamaForCausalLM
from .config_llama import SVD_LlamaConfig

logger = logging.get_logger(__name__)

_CONFIG_FOR_DOC = "SVD_LlamaConfig"

class LlamaRMSNorm(nn.Module):
    def __init__(self, hidden_size, eps=1e-6):
        """
        LlamaRMSNorm is equivalent to T5LayerNorm
        """
        super().__init__()
        self.weight = nn.Parameter(torch.ones(hidden_size))
        self.variance_epsilon = eps

    def forward(self, hidden_states):
        variance = hidden_states.to(torch.float32).pow(2).mean(-1, keepdim=True)
        hidden_states = hidden_states * torch.rsqrt(variance + self.variance_epsilon)

        # convert into half-precision if necessary
        if self.weight.dtype in [torch.float16, torch.bfloat16]:
            hidden_states = hidden_states.to(self.weight.dtype)

        return self.weight * hidden_states


class LlamaRotaryEmbedding(torch.nn.Module):
    def __init__(self, dim, max_position_embeddings=2048, base=10000, device=None):
        super().__init__()
        inv_freq = 1.0 / (base ** (torch.arange(0, dim, 2).float().to(device) / dim))
        self.register_buffer("inv_freq", inv_freq)

        # Build here to make `torch.jit.trace` work.
        self.max_seq_len_cached = max_position_embeddings
        t = torch.arange(self.max_seq_len_cached, device=self.inv_freq.device, dtype=self.inv_freq.dtype)
        freqs = torch.einsum("i,j->ij", t, self.inv_freq)
        # Different from paper, but it uses a different permutation in order to obtain the same calculation
        emb = torch.cat((freqs, freqs), dim=-1)
        self.register_buffer("cos_cached", emb.cos()[None, None, :, :], persistent=False)
        self.register_buffer("sin_cached", emb.sin()[None, None, :, :], persistent=False)

    def forward(self, x, seq_len=None):
        # x: [bs, num_attention_heads, seq_len, head_size]
        # This `if` block is unlikely to be run after we build sin/cos in `__init__`. Keep the logic here just in case.
        if seq_len > self.max_seq_len_cached:
            self.max_seq_len_cached = seq_len
            t = torch.arange(self.max_seq_len_cached, device=x.device, dtype=self.inv_freq.dtype)
            freqs = torch.einsum("i,j->ij", t, self.inv_freq)
            # Different from paper, but it uses a different permutation in order to obtain the same calculation
            emb = torch.cat((freqs, freqs), dim=-1).to(x.device)
            self.register_buffer("cos_cached", emb.cos()[None, None, :, :], persistent=False)
            self.register_buffer("sin_cached", emb.sin()[None, None, :, :], persistent=False)
        return (
            self.cos_cached[:, :, :seq_len, ...].to(dtype=x.dtype),
            self.sin_cached[:, :, :seq_len, ...].to(dtype=x.dtype),
        )


def rotate_half(x):
    """Rotates half the hidden dims of the input."""
    x1 = x[..., : x.shape[-1] // 2]
    x2 = x[..., x.shape[-1] // 2 :]
    return torch.cat((-x2, x1), dim=-1)


def apply_rotary_pos_emb(q, k, cos, sin, position_ids):
    gather_indices = position_ids[:, None, :, None]  # [bs, 1, seq_len, 1]
    gather_indices = gather_indices.repeat(1, cos.shape[1], 1, cos.shape[3])
    cos = torch.gather(cos.repeat(gather_indices.shape[0], 1, 1, 1), 2, gather_indices)
    sin = torch.gather(sin.repeat(gather_indices.shape[0], 1, 1, 1), 2, gather_indices)
    
    q_embed = (q * cos) + (rotate_half(q) * sin)
    k_embed = (k * cos) + (rotate_half(k) * sin)
    return q_embed, k_embed


class SVD_LlamaMLP(nn.Module):
    def __init__(
        self,
        config: SVD_LlamaConfig
    ):
        super().__init__()
        self.ratio = config.ratio
        low_rank = int(config.intermediate_size * config.hidden_size * self.ratio / (config.intermediate_size + config.hidden_size))
        self.gate_u_proj = nn.Linear(low_rank, config.intermediate_size, bias=False)
        self.gate_v_proj = nn.Linear(config.hidden_size, low_rank, bias=False)
        
        self.down_u_proj = nn.Linear(low_rank, config.hidden_size, bias=False)
        self.down_v_proj = nn.Linear(config.intermediate_size, low_rank, bias=False)
        
        self.up_u_proj = nn.Linear(low_rank, config.intermediate_size, bias=False)
        self.up_v_proj = nn.Linear(config.hidden_size, low_rank, bias=False)
        self.act_fn = ACT2FN[config.hidden_act]

    def forward(self, x):
        up = self.up_u_proj(self.up_v_proj(x))
        gate = self.gate_u_proj(self.gate_v_proj(x))
        return self.down_u_proj(self.down_v_proj(self.act_fn(gate) * up))


class SVD_LlamaAttention(nn.Module):
    """Multi-headed attention from 'Attention Is All You Need' paper"""

    def __init__(self, config: SVD_LlamaConfig):
        super().__init__()
        self.config = config
        self.hidden_size = config.hidden_size
        self.num_heads = config.num_attention_heads
        self.head_dim = self.hidden_size // self.num_heads
        self.max_position_embeddings = config.max_position_embeddings
        self.ratio = config.ratio # 1 means no truncate, just keep normal attn

        if (self.head_dim * self.num_heads) != self.hidden_size:
            raise ValueError(
                f"hidden_size must be divisible by num_heads (got `hidden_size`: {self.hidden_size}"
                f" and `num_heads`: {self.num_heads})."
            )
        low_rank = int(self.hidden_size * self.ratio/2)
        self.q_u_proj = nn.Linear(low_rank, self.num_heads * self.head_dim, bias=False)
        self.q_v_proj = nn.Linear(self.hidden_size, low_rank, bias=False)

        self.k_u_proj = nn.Linear(low_rank, self.num_heads * self.head_dim, bias=False)
        self.k_v_proj = nn.Linear(self.hidden_size, low_rank, bias=False)

        self.v_u_proj = nn.Linear(low_rank, self.num_heads * self.head_dim, bias=False)
        self.v_v_proj = nn.Linear(self.hidden_size, low_rank, bias=False)

        self.o_u_proj = nn.Linear(low_rank, self.hidden_size, bias=False)
        self.o_v_proj = nn.Linear(self.num_heads * self.head_dim, low_rank, bias=False)

        self.rotary_emb = LlamaRotaryEmbedding(self.head_dim, max_position_embeddings=self.max_position_embeddings)

    def _shape(self, tensor: torch.Tensor, seq_len: int, bsz: int):
        return tensor.view(bsz, seq_len, self.num_heads, self.head_dim).transpose(1, 2).contiguous()

    def forward(
        self,
        hidden_states: torch.Tensor,
        attention_mask: Optional[torch.Tensor] = None,
        position_ids: Optional[torch.LongTensor] = None,
        past_key_value: Optional[Tuple[torch.Tensor]] = None,
        output_attentions: bool = False,
        use_cache: bool = False,
    ) -> Tuple[torch.Tensor, Optional[torch.Tensor], Optional[Tuple[torch.Tensor]]]:
        bsz, q_len, _ = hidden_states.size()
    
        query_states = self.q_u_proj(self.q_v_proj(hidden_states)).view(bsz, q_len, self.num_heads, self.head_dim).transpose(1, 2)

        key_states = self.k_u_proj(self.k_v_proj(hidden_states)).view(bsz, q_len, self.num_heads, self.head_dim).transpose(1, 2)

        value_states = self.v_u_proj(self.v_v_proj(hidden_states)).view(bsz, q_len, self.num_heads, self.head_dim).transpose(1, 2)

        kv_seq_len = key_states.shape[-2]
        if past_key_value is not None:
            kv_seq_len += past_key_value[0].shape[-2]
        cos, sin = self.rotary_emb(value_states, seq_len=kv_seq_len)
 
        query_states, key_states = apply_rotary_pos_emb(query_states, key_states, cos, sin, position_ids)
        # [bsz, nh, t, hd]

        if past_key_value is not None:
            # reuse k, v, self_attention
            key_states = torch.cat([past_key_value[0], key_states], dim=2)
            value_states = torch.cat([past_key_value[1], value_states], dim=2)

        past_key_value = (key_states, value_states) if use_cache else None

        attn_weights = torch.matmul(query_states, key_states.transpose(2, 3)) / math.sqrt(self.head_dim)

        if attn_weights.size() != (bsz, self.num_heads, q_len, kv_seq_len):
            raise ValueError(
                f"Attention weights should be of size {(bsz * self.num_heads, q_len, kv_seq_len)}, but is"
                f" {attn_weights.size()}"
            )

        if attention_mask is not None:
            if attention_mask.size() != (bsz, 1, q_len, kv_seq_len):
                raise ValueError(
                    f"Attention mask should be of size {(bsz, 1, q_len, kv_seq_len)}, but is {attention_mask.size()}"
                )
            attn_weights = attn_weights + attention_mask
            attn_weights = torch.max(attn_weights, torch.tensor(torch.finfo(attn_weights.dtype).min, device=attn_weights.device))

        # upcast attention to fp32
        attn_weights = nn.functional.softmax(attn_weights, dim=-1, dtype=torch.float32).to(query_states.dtype)
        attn_output = torch.matmul(attn_weights, value_states)

        if attn_output.size() != (bsz, self.num_heads, q_len, self.head_dim):
            raise ValueError(
                f"`attn_output` should be of size {(bsz, self.num_heads, q_len, self.head_dim)}, but is"
                f" {attn_output.size()}"
            )
        
        attn_output = attn_output.transpose(1, 2)
        attn_output = attn_output.reshape(bsz, q_len, -1)

        attn_output = self.o_u_proj(self.o_v_proj(attn_output))

        if not output_attentions:
            attn_weights = None

        return attn_output, attn_weights, past_key_value
    

class SVD_LlamaForCausalLM(LlamaForCausalLM):
    config_class = SVD_LlamaConfig
    def __init__(self, config: SVD_LlamaConfig):
        super().__init__(config)
        for i in range(len(self.model.layers)):
            self.model.layers[i].mlp = SVD_LlamaMLP(config=config)
            self.model.layers[i].self_attn = SVD_LlamaAttention(config)